Site Map Polytopes Dynkin Diagrams Vertex Figures Incidence Matrices Index

Index of Polytopes, sorted by Circumradius

Acronyms and some of the names are due to Jonathan Bowers.

Index is also available in alphabetical order. Index is also available in dimensionally sorted order. (Those ones also contain further entries where no explicit circumradius is given.)



Acronym Dim. Name Circumradius Face vector
pedecat 2D hyperbolic order 5 decagonal tiling 0.154508 i
... 4D hyperbolic hex-ex tetracomb 0.171780 i
... 3D hyperbolic o3o5o10x tesselation 0.202376 i
depat 2D hyperbolic order 10 pentagonal tiling 0.206652 i
phitte 4D hyperbolic order 5 hecatonicosachoric tetracomb 0.206652 i
... 3D hyperbolic x4o3o5o3*a tesselation 0.208191 i
... 3D hyperbolic o3o4x4o4*b tesselation 0.216606 i
aphexah 3D hyperbolic alternated order 5 hexagonal-tiling honeycomb 0.220528 i
ococat 2D hyperbolic order 8 octagonal tiling 0.227545 i
... 4D hyperbolic order 3 small-stellated-hecatonicosachoral tetracomb 0.242934 i
pitest 4D hyperbolic order 5 tesseractic tetracomb 0.242934 i
..., 11,1,1,1,1 6D hyperbolic Gosset hexacomb 11,1,1,1,1 0.25
... 4D hyperbolic o4s4o3*a4s4o3*a tetracomb 0.25 i
... 3D hyperbolic x3o3o5o3*a tesselation 0.250437 i
... 3D hyperbolic o3o3o4s4*b tesselation 0.267261 i
..., 24,2 8D hyperbolic Gosset octacomb 24,2 0.288675 i
... 3D hyperbolic o3o4x4o4*a tesselation 0.292893 i
... 2D hyperbolic tritetragonal tiling of family o3o4o5*a 0.297397 i
osquat 2D hyperbolic order 8 square tiling 0.321797 i
... 3D lamina-truncate of hyperbolic o8o4x *b3x tesselation 0.321797 i
... 3D hyperbolic o8o3x *b4xØx tesselation 0.321797 i
... 3D hyperbolic o8o4x *b3x tesselation 0.321797 i
... 3D hyperbolic o8o4x *b3xØx3*b tesselation 0.321797 i
otratip 3D hyperbolic x x3o8o tesselation 0.321797 i
... 3D hyperbolic x8o4o *b3o tesselation 0.321797 i
odipt 4D octagonal-duoprismatic tetracomb 0.321797 i
... 3D hyperbolic x5o3o4o3*a tesselation 0.336860 i
... 5D hyperbolic s3s4o3o4o3o pentacomb 0.351578 i
hihexat 2D hyperbolic order 6 hexagonal tiling 0.353553 i
... 4D hyperbolic o4x4o3*a4x4o3*a tetracomb 0.353553 i
... 4D hyperbolic s4o3o4s4*b tesselation 0.353553 i
ditetpeat 2D ditetratgonal triangle-pentagon-tiling, hyperbolic tripentagonal tiling of family o3o4o5*a 0.357770 i
... 3D hyperbolic honeycomb o6o5x∞xØx∞*c *b3*e 0.363271 i
... 3D hyperbolic honeycomb o6o5x∞x3*b 0.363271 i
... 3D hyperbolic honeycomb x∞x5o6o 0.363271 i
cohon 3D hyperbolic x4o3o4o3*a tesselation, cubic-octahedral honeycomb 0.377964 i
... 3D hyperbolic o3o3o4x4*b tesselation 0.377964 i
octsnich 4D hyperbolic octahedral - snub-cubic honeycomb 0.380999 i
phexah 3D hyperbolic order 5 hexagonal-tiling honeycomb 0.381966 i
... 4D hyperbolic x3o3o3o *b3o3*c tesselation 0.387298
detrat 2D hyperbolic order 10 triangular tiling 0.393076 i
hipat 2D hyperbolic order 6 pentagonal tiling 0.393076 i
apech 3D hyperbolic alternated order 5 cubical honeycomb 0.393076 i
... 3D hyperbolic x5o5o *b5/2o honeycomb 0.393076 i
... 4D hyperbolic great-hecatonicosachoral tetracomb 0.393076 i
pente (old: pennit) 4D hyperbolic order 5 pentachoric tetracomb 0.393076 i
... 4D hyperbolic pentagrammic-order hexacontachoric tetracomb 0.393076 i
... 4D hyperbolic order 5 faceted-hexacosichoral tetracomb, hyperbolic order 5 icosahedral-hecatonicosachoral tetracomb, hyperbolic ridged pentachoric tetracomb 0.393076 i
... 3D hyperbolic o3o4o8x tesselation 0.400236 i
ditetetrat 2D hyperbolic order 4 tritetragonal tiling, hyperbolic ditetragonal tritetratrigonal tiling, hyperbolic alternated order 4 hexagonal tiling 0.408248 i
ashexah 3D hyperbolic alternated order 4 hexagonal-tiling honeycomb 0.408248 i
pedhon 3D hyperbolic order 5 dodecahedral honeycomb 0.427486 i
... 2D hyperbolic order 3 trigonal-horocyclic tiling 0.433013 i
... 3D hyperbolic x5/2o5o4o honeycomb 0.437016
... 2D hyperbolic tetrapentagonal tiling of family o3o4o5*a 0.438176 i
... 3D hyperbolic o3x4o6o tesselation 0.447214 i
... 3D hyperbolic o6o4x3xØo3*c tesselation 0.447214 i
... 3D hyperbolic x3x4o6o tesselation 0.447214 i
... 5D hyperbolic x3x4o3o4o3o pentacomb 0.447214 i
sheat 2D stellated heptagonal tiling, hyperbolic order 7 heptagram tiling 0.484510 i
... 3D hyperbolic honeycomb by idtid and tidect 0.485868 i
... 3D hyperbolic honeycomb o3x4o4o5/2*b 0.485868 i
..., 31,1,1 6D hyperbolic (order 3) hexacontitetrapetic hexacomb, hyperbolic Gosset hexacomb 31,1,1 0.5
..., 42,2 8D hyperbolic dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zettic octacomb, hyperbolic Gosset octacomb 42,2 0.5
..., 53,1 9D hyperbolic Gosset enneacomb 53,1 0.5
hisquat 2D hyperbolic order 6 square tiling 0.5 i
squazat 2D order 4 apeirogonal tiling, hyperbolic order 4 horocyclic tiling 0.5 i
... 3D hyperbolic o3o3o4x4*a tesselation 0.5 i
... 3D hyperbolic o4x6o4o tesselation 0.5 i
shexatip 3D hyperbolic x x6o4o tesselation 0.5 i
... 3D hyperbolic xØo4x6o4o tesselation 0.5 i
... 3D hyperbolic x4o3o4x4*b tesselation 0.5 i
... 3D hyperbolic x4o4o *b3o tesselation, hyperbolic alternated o3o4o4x tesselation 0.5 i
chont 4D hyperbolic (order 3) cubic-honeycomb tetracomb 0.5 i
... 4D hyperbolic o3o3o3o *b3x3*c tesselation 0.5 i
..., 34,1 8D hyperbolic Gosset octacomb 34,1 0.5 i
ditdih 3D hyperbolic ditrigonary disicosahedral honeycomb 0.509376 i
ikhon 3D hyperbolic order 3 icosahedral honeycomb 0.509376 i
pd{3,5,3} 3D partial diminishing (old: truncation) of hyperbolic order 3 icosahedral tesselation 0.509376 i
spd{3,5,3}   (old: spt{3,5,3}) 3D semi partial diminishing (old: truncation) of hyperbolic order 3 icosahedral tesselation 0.509376 i
gacocaddit 3D hyperbolic x3o3o4o3*a tesselation, grand cuboctahedronary cubic-distetrahedral honeycomb 0.511081 i
pepat 2D hyperbolic order 5 pentagonal tiling 0.528686 i
... 3D 2gissid (?) 0.535233
... 3D 3gissid (?) 0.535233
... 3D 6gissid (?) 0.535233
gissid 3D great stellated dodecahedron, tri-stellahedron 0.535233 20, 30, 12
stafe 4D stellar (pentagrammal) antifastegium, pentagram - stap wedge, {5/2} || gyro stip 0.535857 15, 40, 38, 13
... 4D 2gogishi (?) 0.540182
gogishi, gaspD 4D great grand stellated hecatonicosachoron, greatened aggrandized stellated polydodecahedron 0.540182 600, 1200, 720, 120
... 3D vertex figure of small prismated icositetrachoron 0.541196 8, 16, 10
pechon 3D hyperbolic order 5 cubic honeycomb 0.555893 i
ditoot 2D ditrigonary octaoctagonal tiling, hyperbolic order 3 octagonal-octagrammic tiling 0.557369 i
... 3D hyperbolic x5o3o3o3*a tesselation 0.573060 i
hazt 2D hyperbolic hexa-apeirogonal tiling 0.577350 i
rihihexah 3D hyperbolic rectified order 6 hexagonal-tiling honeycomb 0.577350 i
..., 23,2 7D hyperbolic Gosset heptacomb 23,2 0.577350 i
... 3D 2quith (?) 0.579471
quitar (old: quahri) 3D quasitruncated rhombihedron, quasihyperhombicosicosahedron, compound of 5 quith 0.579471
quith 3D quasitruncated hexahedron, stellated truncated hexahedron, stellatruncated cube 0.579471 24, 36, 14
tuquith 3D blend of 2 quasitruncated cubes 0.579471 32, 56, 24
sirsid 3D small (inverted) retrosnub icosicosidodecahedron, retrosnub disicosidodecahedron, yog sothoth 0.580695 60, 180, 112
gic 4D great tetracontoctachoron, octagrammy 0.585786 288, 576, 336, 48
... 3D 2gike (?) 0.587785
... 3D 2gike+sissid (?) 0.587785
... 3D 2sissid (?) 0.587785
... 3D 2sissid+4gike (?) 0.587785
... 3D 2sissid+gike (?) 0.587785
... 3D 3sissid+gike (?) 0.587785
... 3D 4sissid+2gike (?) 0.587785
gacid 3D great complex icosidodecahedron 0.587785
gidasid 3D great invertidisnub dodecahedron, compound of 12 starp 0.587785
gike 3D great icosahedron, retrosnub tetrahedron, retrosnub tetratetrahedron, edgified penta-stellahedron, vertex figure of gax 0.587785 12, 30, 20
gissed 3D great invertisnub dodecahedron, compound of 6 starp 0.587785
passipsi 3D pseudosnub pentagrammattic snub (pseudo)icosiicosahedron, compound of 5 sissid 0.587785
passipsido 3D pseudosnub pentagrammatic snub (pseudo)disoctahedron, compound of 2 sissid 0.587785
scufgi, sissid-3-7 3D semicupolaically faceted great icosahedron 0.587785 9, 18, 10
sirsei 3D small retrosnub icosiicosahedron, compound of 5 gike 0.587785
sirsido 3D small retrosnub disoctahedron, compound of 2 gike 0.587785
sissid 3D small stellated dodecahedron, penta-stellahedron, vertex figure of gofix 0.587785 12, 30, 12
... 3D sissid+3gike (?) 0.587785
stappy, 5/2-pyr 3D pentagrammic pyramid, stellated pentagonal pyramid 0.587785 6, 10, 6
starp (old: restap) 3D tristrophic pentagrammic antiprism, stellar retroprism (retrograde stellar antiprism), 5/3-antiprism 0.587785 10, 20, 12
targi 3D trireplenished great icosahedron 0.587785 9, 15, 8
gissidpy 4D great-stellated-dodecahedral pyramid, vertex cap of gaghi 0.591923 21, 50, 42, 13
ogpy, 8/3-pyr 3D octagrammic pyramid 0.594604 9, 16, 9
otrat 2D hyperbolic order 8 triangular tiling 0.594604 i
socat 2D hyperbolic order 4 octagon tiling 0.594604 i
... 3D lamina-truncate of hyperbolic x4x3o8o tesselation 0.594604 i
... 3D hyperbolic alternated small prismated order-4 square tiling honeycomb 0.594604 i
... 3D hyperbolic s4o4o4s + x4x4o4o4*a blend tesselation 0.594604 i
... 3D hyperbolic x4x3o8o tesselation 0.594604 i
... 3D hyperbolic x4x4o4o4*a tesselation 0.594604 i
contit 4D tetracontoctachoric tetracomb, lamina-truncate of hyperbolic o3x4x3o8o tesselation 0.594604 i
... 4D hyperbolic o3x4x3o8o tesselation 0.594604 i
... 3D 2tet (?) 0.612372
... 3D 3tet (?) 0.612372
... 3D 4tet (?) 0.612372
... 3D 6tet (?) 0.612372
dis 3D disnubihedron, compound of 12 tet 0.612372
e 3D icosiicosahedron, compound of 10 tet 0.612372
ki 3D chiro-icosahedron, compound of 5 tet 0.612372
sis 3D small snubihedron, compound of 6 tet (but not snu) 0.612372
snu 3D snubihedron, compound of 6 tet (but not sis) 0.612372
so 3D stella octangula, star tetrahedron, compound of 2 tet 0.612372
tet 3D tetrahedron, 3D simplex (α3), pyrochor(id), regular trigonal pyramid, digonal antiprism, regular (di)sphenoid, hemicube, smaller Delone cell of face-centered cubic (fcc) lattice, regular line-scalene, regular (point-)tettene, vertex figure of pen, Gosset polytope 02, Waterman polyhedron number 1 wrt. face-centered cubic lattice A3 centered at a shallow hole 0.612372 4, 6, 4
quithpy 4D quasitruncated-hexahedral pyramid 0.613502 25, 60, 50, 15
otbaquitit 4D octagonnally tetrablended quasitruncated tesseract 0.615370 128, 384, 320, 80
quitit 4D quasitruncated tesseract 0.615370 64, 128, 88, 24
... 3D 2geihid (?) 0.618034
... 3D 2gid (?) 0.618034
... 3D 2gidhid (?) 0.618034
geihid 3D great icosihemidodecahedron 0.618034 30, 60, 26
gid 3D great icosidodecahedron 0.618034 30, 60, 32
... 3D gid+geihid+gidhid (?) 0.618034
gidhid 3D great dodecahemidodecahedron 0.618034 30, 60, 18
... 4D 2gashi (?) 0.618034
... 4D 2gax (?) 0.618034
... 4D 2gishi (?) 0.618034
... 4D 2gofix (?) 0.618034
birgax 4D bi-icositetra-replenished grand hexacosachoron 0.618034 72, 216, 192, 48
gashi, aspD 4D grand stellated hecatonicosachoron, aggrandized stellated polydodecahedron 0.618034 120, 720, 720, 120
... 4D gax+gashi+120gid (?) 0.618034
... 4D gax+gofix (?) 0.618034
gax, apT 4D grand hexacosachoron, aggrandized polytetrahedron 0.618034 120, 720, 1200, 600
gikepy 4D great-icosahedral pyramid, vertex cap of gax 0.618034 13, 42, 50, 21
... 4D gishi+gashi (?) 0.618034
gishi, gspD 4D great stellated hecatonicosachoron, greatened stellated polydodecahedron 0.618034 120, 720, 720, 120
gisp 4D great swirlprism 0.618034 120, 720, 720, 120
gissidasissid 4D shallower great stellated dodecahedron atop small stellated dodecahedron 0.618034 32, 120, 142, 44
gissidragike 4D great stellated dodecahedron retroprism, great icosahedron retroprism, narrower great stellated dodecahedron atop great icosahedron 0.618034 32, 120, 152, 64
... 4D gofix+gishi+120gid (?) 0.618034
gofix, gpI 4D great icosahedral hecatonicosachoron, great faceted hexacosichoron, greatened polyicosahedron 0.618034 120, 720, 1200, 120
gypasp 4D great pyramidic swirlprism 0.618034 120, 600, 720, 240
padiap 4D prismatic double inverted antiprism, pentagrammic double antiprismoid 0.618034 100, 500, 720, 320
rasdi 4D retrosnub icositetrachoron, retrosnub disicositetrachoron 0.618034 96, 432, 480, 144
sissidpy 4D small-stellated-dodecahedral pyramid, vertex cap of unit gofix, vertex cap of v-scaled gohi 0.618034 13, 42, 42, 13
stasc (old: stappypy) 4D stellar scalene, pentagrammic scalene, pentagram-pyramidal pyramid, line atop fully orthogonal pentagram, 5 tet two-step rosette 0.618034 7, 16, 16, 7
ogasc 4D octagram-scalene, octagram-pyramidal pyramid, line atop fully orthogonal octagram 0.621876 10, 25, 25, 10
stadow 5D pentagrammic disphenoid, pentagram atop fully orthogonal pentagram 0.623054 10, 35, 52, 35, 10
ogdow 5D octagrammic disphenoid, octagram atop fully orthogonal octagram 0.629640 16, 80, 130, 80, 16
... 4D 2pen (?) 0.632456
... 4D 3pen (?) 0.632456
... 4D 4pen 0.632456
... 4D 4pen+160{3} (?) 0.632456
... 4D 6pen 0.632456
mix 4D medial hexacosachoron, mete-star, compound of 120 pen 0.632456
pen, K-4.1 4D pentachoron, 4D simplex (α4), 5-cell, pyroter(id), tetrahedral pyramid, triangle-pyramidal pyramid, regular triangle-scalene, regular line-tettene, regular (point-)pennene, 3 tet rosette, vertex figure of hix, Gosset polytope 03, 5-2-stepprism 0.632456 5, 10, 10, 5
sted 4D stellated decachoron, compound of 2 pen 0.632456
... 4D hyperbolic o3x3o3o *b3o3*c tesselation 0.632456 i
quithesc 5D quasitruncated-hexahedral scalene, quasitruncated-hexahedral-pyramid pyramid, line atop fully orthogonal quasitruncated hexahedron 0.633157 26, 85, 110, 65, 16
degpy, 10/3-pyr 3D decagrammic pyramid 0.636010 11, 20, 11
gogishiragax 5D great grand stellated hecatonicosachoron retroprism, grand hexacosachoron retroprism, narrower great grand stellated hecatonicosachoron atop grand hexacosachoron 0.636010 720, 4320, 91420, 8160, 2642
sissidisc 5D small-stellated-dodecahedral scalene, small-stellated-dodecahedral-pyramid pyramid, line atop fully orthogonal small stellated dodecahedron 0.636010 14, 55, 84, 55, 14
state 5D stellar tettene, pentagrammic tettene, pentagram-pyramidal pyramid pyramid, triangle atop fully orthogonal pentagram 0.636010 8, 23, 32, 23, 8
togdow 5D triangle-octagrammic disphenoid, triangle atop fully orthogonal octagram 0.638475 11, 35, 50, 35, 11
ogquithdow 6D (octagram,quith)-disphenoid, octagram atop fully orthogonal quasitruncated hexahedron 0.639069 32, 236, 495, 425, 156, 22
stasissiddow 6D (pentagramm,sissid)-disphenoid, pentagram atop fully orthogonal small stellated doedcahedron 0.639240 17, 95, 223, 223, 95, 17
hix 5D hexateron, 5D simplex (α5), pyropet(id), pentachoral pyramid, regular tet-scalene, regular triangle-tettene, regular line-pennene, regular (point-)hixene, digonal gyrotrigonism, vertex figure of hop, Gosset polytope 04 0.645497 6, 15, 20, 15, 6
stade 5D stellated dodecateron, compound of 2 hix 0.645497
tiquithdow 6D (triangle,quith)-disphenoid, triangle atop fully orthogonal quasitruncated hexahedron 0.645976 27, 111, 195, 175, 81, 17
quithdow 7D (bi-)quithic disphenoid, quith atop fully orthogonal quith 0.646447 48, 648, 1756, 1970, 1056, 268, 28
quittin 5D quasitruncated penteract 0.649286 160, 400, 400, 200, 42
shappy, 7/2-pyr 3D small heptagrammic pyramid 0.650389 8, 14, 8
hop (old: hep) 6D heptapeton, 6D simplex (α6), pyroex(id), hexateral pyramid, vertex figure of oca, Gosset polytope 05 0.654654 7, 21, 35, 35, 21, 7
stef 6D stellated tetradecapeton, compound of 2 hop 0.654654
... 3D v x3o, variation of triangular prism, vertex figure of rectified great grand stellated hecatonicosachoron 0.654847 6, 9, 5
sadsid 3D small disnub dodecahedron, compound of 12 stap 0.656431
sassid 3D (chiral) small snub dodecahedron, compound of 6 stap 0.656431
stap 3D bistrophic pentagrammic antiprism, stellar antiprism, 5/2-antiprism 0.656431 10, 20, 12
... 3D 2quitgissid (?) 0.657550
quit gissid 3D quasitruncated great stellated dodecahedron, great stellated truncated dodecahedron, great stellatruncated dodecahedron 0.657550 60, 90, 32
shasc 4D small heptagrammic scalene, small-heptagrammic-pyramidal pyramid, line atop fully orthogonal small heptagramm 0.658240 9, 22, 22, 9
oca (old: oc) 7D octaexon, 7D simplex (α7), pyrozett(id), heptapetal pyramid, vertex figure of ene, (one of the) Delone cell(s) of lattice E7, Gosset polytope 06 0.661438 8, 28, 56, 70, 56, 28, 8
... 4D 2firgogishi (?) 0.661585
firgogishi 4D facetorectified great grand stellated hecatonicosachoron 0.661585 1200, 3600, 3120, 720
gohiny 4D great hecatonicosintercepted hecatonicosachoron 0.661585 1200, 3600, 3840, 240
rigogishi 4D rectified great grand stellated hecatonicosachoron 0.661585 1200, 3600, 3120, 720
... 4D taller great stellated dodecahedron atop small stellated dodecahedron 0.662791 32, 120, 142, 44
gissidagike 4D great stellated dodecahedron antiprism, great icosahedron antiprism, taller great stellated dodecahedron atop great icosahedron 0.662791 32, 120, 152, 64
stapepy 4D pentagram-antiprismatical pyramid 0.662791 11, 30, 32, 13
ene 8D enneazetton, 8D simplex (α8), pyroyott(id), octaexal pyramid, vertex figure of day, (one of the) Delone cell(s) of lattice E8, Gosset polytope 07 0.666667 9, 36, 84, 126, 126, 84, 36, 9
gogishiagax 5D great grand stellated hecatonicosachoron antiprism, grand hexacosachoron antiprism, taller great grand stellated hecatonicosachoron atop grand hexacosachoron 0.667731 720, 4320, 9120, 8160, 2642
raphitte 4D rectified hyperbolic order 5 hecatonicosachoric tetracomb 0.668740 i
day 9D decayotton, 9D simplex (α9), pyroxenn(id), enneazettal pyramid, vertex figure of ux, Gosset polytope 08 0.670820 10, 45, 120, 210, 252, 210, 120, 45, 10
shadow 5D small heptagrammic disphenoid, small heptagramm atop fully orthogonal small heptagramm 0.674163 14, 63, 100, 63, 14
ux 10D hendecaxennon, undecaxennon, 10D simplex (α10), pyrodak(id), decayottal pyramid, Gosset polytope 09 0.674200 11, 55, 165, 330, 462, 462, 330, 165, 55, 11
quit gogishi 4D quasitruncated great grand stellated hecatonicosachoron 0.677481 2400, 4800, 3120, 720
quotox 6D quasitruncated hexeract 0.681517 384, 1152, 1520, 1120, 444, 76
gissidagid, gissid || gid 4D great stellated dodecahedron atop great icosidodecahedron, great stellated dodecahedral cupola 0.692924 50, 150, 134, 34
... 3D Shephard's 3-generalised octahedron, complex polyhedron x2-3-o2-4-o3 , β3 3 0.707107 9, 27, 27
... 3D Shephard's 4-generalised octahedron, complex polyhedron x2-3-o2-4-o4 , β4 3 0.707107 12, 48, 64
... 3D Shephard's 5-generalised octahedron, complex polyhedron x2-3-o2-4-o5 , β5 3 0.707107 15, 75, 125
... 3D Shephard's p-generalised octahedron, complex polyhedron x2-3-o2-4-op , βp 3 0.707107 3p, 3p2, p3
... 3D 2oct (?) 0.707107
... 3D 2oct+12{4} (?) 0.707107
... 3D 2oct+6{4} (?) 0.707107
... 3D 2oct+8{3} (?) 0.707107
... 3D 2thah (?) 0.707107
... 3D 4oct (?) 0.707107
... 3D 4thah (?) 0.707107
addasi 3D altered disnub icosahedron, compound of 20 oct (but not dasi) 0.707107
bobipyr 3D bowtie bipyramid, crossed-square bipyramid, bowtie (line-)tegum 0.707107 6, 10, 6
dasi 3D disnub icosahedron, compound of 20 oct (but not addasi) 0.707107
daso (old: doso) 3D disnub octahedron, compound of 8 oct 0.707107
dissit 3D disnub tetrahedron, compound of 4 oct 0.707107
gidisdrid 3D great disnub dirhombicosidodecahedron, Skilling's figure 0.707107 60, 360, 204
gidrid (subsym.: gidrikid) 3D great dirhombicosidodecahedron, great snub disicosidisdodecahedron, Miller's monster, (subsym.: great dirhombichiricosadodecahedron) 0.707107 60, 240, 124
gisdid 3D great snub dodekicosidodecahedron, shub-niggurath 0.707107 60, 180, 104
gissi 3D great snub icosahedron, compound of 10 oct (but not si) 0.707107
hirki 3D hemirhombichiro-icosahedron, compound of 5 thah 0.707107
oct (alt.: trap, tatet) 3D octahedron, rectified tetrahedron, tricross (β3), tetratetrahedron, aerochor(id), trigonal antiprism, snubbed triangular dihedron, larger Delone cell of face-centered cubic (fcc) lattice, equatorial cross-section of (vertex first) 1/q-tes, vertex figure of hex, Gosset polytope 01,1, lattice C3 contact polytope (span of its small roots), equatorial cross-section of vertex-first hex 0.707107 6, 12, 8
... 3D oct+6{4} (?) 0.707107
ratricu 3D retrograde trigonal cupola, 3/2-cupola 0.707107 9, 15, 8
sapisseri 3D (chiral) snub pseudosnub rhombicosahedron, compound of 20 thah 0.707107
se 3D small icosiicosahedron, compound of 5 oct 0.707107
si 3D snub icosahedron, compound of 10 oct (but not gissi) 0.707107
sno 3D snub octahedron, compound of 4 oct 0.707107
squippy, 4pyr, J1 3D tetragonal pyramid, half of oct 0.707107 5, 8, 5
starpglass 3D pentagrammic retroprismatic hourglass 0.707107 10, 15, 7
thah 3D tetrahemihexahedron, vertex figure of tho, triangular crossed cuploid 0.707107 6, 12, 7
... 4D 2hex+8oct (?) 0.707107
... 4D 2tho (?) 0.707107
... 4D 2tho+24{4} (?) 0.707107
dastop 4D dodeca-star toroidi-prism 0.707107 60, 240, 204, 36
... 4D dastop + 2 2did 0.707107
fitetaltet 4D faceted tet atop dual 3tet, vertex figure of phap 0.707107 8, 24, 26, 10
haddet 4D demidistesseract, hexadecadistesseract, compound of 2 hex 0.707107
hatho 4D hemitesseractihemioctachoron 0.707107 8, 20, 20, 8
... 4D hex+8oct (?) 0.707107
hex, K-4.2 (alt: octit, trapt) 4D hexadecachoron, tetracross (β4), orthoplex, hemitesseract, hemioctachoron, 16-cell, aeroter(id), tetrahedral antiprism, vertex figure of tac, (line-)octahedral tegum, (line-)trigonal-antirprismatic tegum, Gosset polytope 11,1, 8-3-stepprism, lattice C4 contact polytope (span of its small roots), equatorial cross-section of vertex-first tac 0.707107 8, 24, 32, 16
hossdap 4D hollow small stellated dodecahedral antiprism, pseudo sissid atop pseudo sissid 0.707107 24, 120, 144, 36
... 4D hossdap + 2 2sissid 0.707107
koho 4D skew octahemioctachoron 0.707107 8, 24, 28, 12
... 4D n/d-grammic retroantiprismatic hemiantiprism 0.707107 4n, 12n, 10n+4, 2n+4
octpy, K-4.3 4D octahedral pyramid, half of hex (its vertex-first rotunda) 0.707107 7, 18, 20, 9
... 4D ox3/2ox3xo&#x 0.707107 16, 48, 48, 16
sistic 4D small stellated icositetrachoron, compound of 6 hex, compound of 2 stico 0.707107
squasc (old: squippypy, alt: edihex), 4pyr-pyr, K-4.4 4D square-scalene, square-pyramidal pyramid, line atop fully orthogonal square, 1/4-luna of hex, 4 tet rosette, edge-diminished hex 0.707107 6, 13, 13, 6
starpglassit 4D pentagrammic-retroprismatic-hourglass tegum, pentagrammic-retroprismatic-hourglass bipyramid 0.707107 12, 30, 27, 9
stico (old: sico) 4D stellated icositetrachoron, stella tegmata, compound of 3 hex 0.707107
stidox 4D stellated dodecahedral hexacosachoron, compound of 75 hex in ex army, compound of 25 stico in ex army 0.707107
tho 4D tesseractihemioctachoron, octahemioctachoron, vertex figure of hehad 0.707107 8, 24, 32, 12
triddit 4D triangle duotegum, dual of triangle duoprism, 6-2-stepprism 0.707107 6, 15, 18, 9
... 5D 2hehad (?) 0.707107
bostarpglassdit 5D bowtie - pentagrammic-retroprismatic-hourglass duotegum 0.707107 14, 52, 72, 43, 11
gashia 5D grand stellated hecatonicosachoron antiprism, grand stellated hecatonicosachoron alterprism, grand stellated hecatonicosachoron atop dual grand stellated hecatonicosachoron 0.707107 240, 2880, 8640, 6720, 1682
hehad 5D hexadecahemidecateron, vertex figure of thox 0.707107 10, 40, 80, 80, 21
hexpy 5D hexadecachoral pyramid, vertex-first rotunda of triacontiditeron 0.707107 9, 32, 56, 48, 17
nophap 5D spinopentachoric hemiantiprism, pseudo pentachoric hemiantiprism 0.707107 10, 40, 80, 80, 25
octasc 5D octahedral scalene, octahedron-pyramid pyramid, line atop fully orthogonal octahedron, 1/4-lune of triacontiditeron 0.707107 8, 25, 38, 29, 10
phap 5D pentachoric hemiantiprism 0.707107 10, 40, 80, 60, 17
sistadow 5D (square,pentagram)-disphenoid, square atop fully orthogonal pentagram 0.707107 9, 29, 42, 29, 9
squete 5D square-pyramidal pyramid pyramid, square-tettene, triangular-square disphenoid, half of the triacontiditeron 0.707107 7, 19, 26, 19, 7
tac 5D triacontiditeron, pentacross (β5), aeropet(id), pentachoral antiprism, vertex figure of gee, Gosset polytopes 21,1, lattice C5 contact polytope (span of its small roots), equatorial cross-section of vertex-first gee 0.707107 10, 40, 80, 80, 32
... 6D 2thox (?) 0.707107
gee (old: xic) 6D hexacontitetrapeton, hexacross (β6), aeroex(id), hexateral antiprism, triacontaditeric bipyramid, octahedral duotegum, square triotegum, vertex figure of zee, Gosset polytope 31,1, lattice C6 contact polytope (span of its small roots), equatorial cross-section of vertex-first zee 0.707107 12, 60, 160, 240, 192, 64
gisdiddit 6D (gisdid,gisdid)-duotegum, gisdid duotegum, tegum product of 2 great snub dodekicosidodecahedra 0.707107 120, 3960, 21808, 44880, 37440, 10816
hexasc 6D hexadecachoric scalene, hexadecachoron-pyramid pyramid, line atop fully orthogonal hexadecachoron, 1/4-lune of hexacontatetrapeton 0.707107 10, 41, 88, 104, 65, 18
octete 6D octahedral tettene, octahedral-pyramid pyramid pyramid, triangle atop fully orthogonal octahedron 0.707107 9, 33, 63, 67, 39, 11
squepe 6D square pennene 0.707107 8, 26, 45, 45, 26, 8
starpglassdit 6D pentagrammic-retroprismatic-hourglass duotegum 0.707107 20, 120, 229, 190, 75, 14
tacpy 6D triacontaditeric pyramid, vertex-first rotunda of gee 0.707107 11, 50, 120, 160, 112, 33
thox (old: thod) 6D triacontidiahemihexeract, triacontidihemidodecapenton, cytohemiectid, vertex figure of guhsa 0.707107 12, 60, 160, 240, 192, 38
... 7D 2guhsa (?) 0.707107
geepy 7D hexacontitetrapeton pyramid, vertex-first rotunda of gee 0.707107 13, 72, 220, 400, 432, 256, 64
guhsa (old: xhaf) 7D hexacontitetrahemihepteract, hexacontitetrahemitetradecaexon 0.707107 14, 84, 280, 560, 672, 448, 71
hexete 7D hexadecachoric tettene, hexadecachoron-pyramid pyramid-pyramid, triangle atop fully orthogonal hexadecachoron 0.707107 11, 51, 129, 192, 169, 83, 19
octepe 7D octahedral pennene 0.707107 10, 42, 96, 130, 106, 50, 12
squix 7D square hixene, square atop fully orthogonal pentachoron 0.707107 9, 34, 71, 90, 71, 34, 9
taccasc 7D triacontiditeron scalene, half of hexacontitetrapeton pyramid, quarter of hecatonicosoctaexon 0.707107 12, 61, 170, 280, 272, 145, 34
zee (old: hio) 7D hecatonicosoctaexon, heptacross (β7), aerozett(id), heptapetal antiprism, vertex figure of ek, Gosset polytope 41,1, lattice C7 contact polytope (span of its small roots), equatorial cross-section of vertex-first ek 0.707107 14, 84, 280, 560, 672, 448, 128
ek 8D diacosipentacontahexazetton, octacross (β8), aeroyott(id), octaexal antiprism, vertex figure of vee, (one of the) Delone cell(s) of lattice E8, Gosset polytope 51,1, lattice C8 contact polytope (span of its small roots), equatorial cross-section of vertex-first vee 0.707107 16, 112, 448, 1120, 1792, 1792, 1024, 256
geeasc 8D hexacontitetrapeton scalene, half of hecatonicosoctaexon pyramid, quarter of diacosipentacontahexazetton 0.707107 14, 85, 292, 620, 832, 688, 321, 66
zeepy 8D zee pyramid, heptacross pyramid, vertex pyramid of ek 0.707107 15, 98, 364, 840, 1232, 1120, 576, 129
vee 9D pentacosidodecayotton, enneacross (β9), aeroxenn(id), enneazettal antiprism, vertex figure of ka, Gosset polytope 61,1, lattice C9 contact polytope (span of its small roots), equatorial cross-section of vertex-first ka 0.707107 18, 144, 672, 2016, 4032, 5376, 4608, 2304, 512
ka 10D chilliaicositetraxennon, decacross (β10), aerodak(id), decayottal antiprism, Gosset polytope 71,1, lattice C10 contact polytope (span of its small roots) 0.707107 20, 180, 960, 3360, 8064, 13440, 15360, 11520, 5120, 1024
... 2D hyperbolic [4,6,6,∞] tiling with tetragonal Coxeter domain 0.707107 i
shexat 2D hyperbolic order 4 hexagonal tiling 0.707107 i
tezt 2D hyperbolic tetragonal-horocyclic tiling, hyperbolic square-apeirogon tiling 0.707107 i
rihach 3D hyperbolic rectified order 6 cubic honeycomb 0.707107 i
shexah 3D hyperbolic order 4 hexagonal-tiling honeycomb 0.707107 i
squah 3D hyperbolic order 3 square-tiling honeycomb, hyperbolic honeycomb with seed point in center of right-angled octahedron domain 0.707107 i
..., 12,1,1 5D hyperbolic Gosset pentacomb 12,1,1 0.707107 i
..., 13,1,1 6D hyperbolic Gosset hexacomb 13,1,1 0.707107 i
... 6D hyperbolic Gosset pentacomb 01,1,1,1,1,1 0.707107 i
quitasa 7D quasitruncated hepteract 0.712292 896, 3136, 5152, 5040, 2968, 980, 142
giship 3D tristrophic heptagrammic prism, heptagrammic prism of winding number 3, great heptagrammic prism, great stellated heptagonal prism 0.716257 14, 21, 9
gaddid 3D great dodekicosidodecahedron 0.716891 60, 120, 44
gird 3D great rhombidodecahedron 0.716891 60, 120, 42
... 3D gird+12{10/4} (?) 0.716891
... 3D gird+20{6/2} (?) 0.716891
qrid 3D quasi rhombicosidodecahedron, great (non-convex) rhombicosidodecahedron (i.e. not grid) 0.716891 60, 120, 62
rastacu 3D retrograde pentagrammic cupola, 5/3-cupola 0.716891 15, 25, 12
... 3D hyperbolic x4x4o5o tesselation 0.720524 i
gadtatdic 3D hyperbolic grand ditetrahedronary tetrahedral-discubic honeycomb 0.722778 i
giddird 3D great dirhombidodecahedron, compound of 12 stip 0.725530
gikrid 3D great chirorhombidodecahedron, compound of 6 stip 0.725530
stip 3D stellated pentagonal prism, 5/2-prism, 5-prism with winding number 2, vertex figure of raggix 0.725530 10, 15, 7
tustip 3D orthogonal blend of pentagagramic prisms, vertex figure of gadsadox 0.725530 16, 26, 12
... 3D x v5o, variation of pentagonal prism, vertex figure of rigfix 0.725530 10, 15, 7
... 4D 2gippapivady (?) 0.726543
... 4D 2quiphi (?) 0.726543
frogfix 4D faceted rectified great faceted hexacosichoron 0.726543 720, 3600, 4320, 720
gadsadox 4D great disnub dihexacosachoron 0.726543 3600, 28800, 31200, 6000
gikagid, gike || gid 4D great icosahedron atop great icosidodecahedron, great icosahedral cap of rectified grand hexacosachoron, great-icosahedral cupola 0.726543
gipdohiny 4D great pental dishecatonicosaintercepted hecatonicosachoron 0.726543 720, 3600, 6360, 360
gippapivady 4D great pentagrammal antiprismatoverted dishecatonicosachoron 0.726543 720, 3600, 3120, 240
graphi 4D grand retropental hecatonicosachoron 0.726543 720, 3600, 2520, 120
mif pixady 4D circumfacetopental hexacosadishecatonicosachoron 0.726543 720, 3600, 6840, 840
ofpipixhi 4D omnifacetopental prismatohexacosahecatonicosachoron 0.726543 720, 3600, 7560, 1440
omfapaxady 4D omnicircumfacetopental hexacosadishecatonicosachoron 0.726543 720, 3600, 5760, 840
quiphi 4D quasiprismatohecatonicosachoron 0.726543 720, 3600, 3240, 840
raggix 4D rectified grand hexacosachoron 0.726543 720, 3600, 3600, 720
rigfix 4D rectified great faceted hexacosichoron 0.726543 720, 3600, 2640, 240
sporraggix 4D swirlprismatoreplenished rectified grand hexacosachoron 0.726543 600, 2400, 2640, 840
stippy 4D stellated-pentagonal prismatic pyramid, vertex pyramid of the rectified grand hexacosachoron 0.726543 11, 25, 22, 8
ditetsquat (old: dittitecat) 2D hyperbolic order 3 tritetragonal tiling, hyperbolic ditrigonary triangle-square tiling, hyperbolic ditrigonary tritetragonal tiling, hyperbolic alternated octagonal tiling 0.728238 i
hog dhidicup verf 3D vertex figure of hog dhidicup 0.730749 8, 14, 8
gissiddip 4D great-stellated-dodecahedron prism 0.732444 40, 80, 54, 14
hog dhidicup 4D hollow gidhid cupoliprism 0.732444 60, 240, 216, 36
gogiship 5D great-grand-stellated-hecatonicosachoron prism 0.736068 1200, 3000, 2640, 960, 122
gocco 3D great cubicuboctahedron 0.736813 24, 48, 20
groh 3D great rhombihexahedron 0.736813 24, 48, 18
... 3D groh+8{6/2} (?) 0.736813
gyquerco (alt.: rers quigybcu) 3D inverto-elongated retrograde square gyrobicupola, gyrated quasirhombicuboctahedron, pseudo great rhombicuboctahedron, retroelongated retrosquare gyrobicupola 0.736813 24, 48, 26
querco 3D quasirhombicuboctahedron, great rhombicuboctahedron (but not girco) 0.736813 24, 48, 26
raquahri 3D rhombiquasihyperhombicosicosahedron, compound of 5 gocco 0.736813
rasquacu 3D retrograde square cupola, crossed square cupola, 4/3-cupola 0.736813 12, 20, 10
rasquahr 3D rhombisnub quasihyperrhombihedron, compound of 5 groh 0.736813
rosaqri (old: rasquahpri) 3D rhombisnub quasirhombicosicosahedron, rhombisnub quasihyperpseudorhombicosicosahedron, compound of 5 querco 0.736813
stop (old: sop) 3D (tristrophic) octagrammic prism, stellated octagonal prism, 8/3-prism, 8-prism with winding number 3 0.736813 16, 24, 10
queto 8D quasitruncated octeract 0.741790 2048, 8192, 16128, 19712, 15456, 7616, 2160, 272
hossidgyt 5D hollow small-stellated-dodecahedral gyrotrigonism 0.742632 36, 270, 516, 288, 39
... 5D 2sissid gyrotrigonism 0.742632
stardip 4D pentagram-pentagram duoprism 0.743496 25, 50, 35, 10
pesquat 2D hyperbolic order 5 square tiling 0.747674 i
peatip 3D hyperbolic x x5o4o tesselation 0.747674 i
... 3D hyperbolic xØx3o5x *c4o tesselation 0.747674 i
... 3D hyperbolic x3o5x5o3*a tesselation 0.747674 i
... 3D hyperbolic x3o5x *b4o tesselation 0.747674 i
... 4D hyperbolic birectified order 5 hecatonicosachoric tetracomb 0.747674 i
stastodip 4D pentagram - octagram duoprism 0.754511 40, 80, 53, 13
dazatrapeat 2D hyperbolic x∞x3o5*a tiling, diapeirogonal apeirogon-triangle-pentagon tiling, cyclotruncated apeirogon-triangle-pentagon tiling 0.754758 i
spidditrah 3D hyperbolic small prismated distriangular-tiling honeycomb 0.759836 i
... 3D 2trip (?), hexagonal prism with winding number 2 0.763763
dri 3D dirhombicosahedron, compound of 20 trip 0.763763
dro 3D dirhombioctahedron, compound of 8 trip 0.763763
kri 3D chirorhombicosahedron, compound of 10 trip 0.763763
ro 3D (chiral) rhombioctahedron, compound of 4 trip 0.763763
trip, 3-p 3D triangular prism, digonal cupola, Delone cell of unit-stacked hexagonal lattice, vertex figure of rap 0.763763 6, 9, 5
trirp (variant) 3D vertex figure of faceted rectified pentachoron, taller trigonal retroprism (3/2 antiprism) variant 0.763763 6, 12, 8
tutrip 3D two trip cupolaic blend, gyrated blend of 2 digonal cupola, Phillips head 0.763763 8, 14, 8
gixhihy 4D great hexacosihecatonicosihecatonicosachoron 0.763932 2400, 7200, 4560, 840
quidpixhi 4D quasidisprismatohexacosihecatonicosachoron 0.763932 2400, 7200, 7440, 2640
gapript 4D great pseudorhombated prismatotesseract 0.765367 96, 288, 256, 64
... 4D gapript+16 2thah (?) 0.765367
gaqript 4D grand quasirhombated prismatotesseract 0.765367 96, 288, 192, 32
giddic 4D great distetracontoctachoron 0.765367 144, 576, 528, 96
girc 4D great retrotetracontoctachoron 0.765367 144, 576, 432, 48
girdo 4D great rhombic disoctachoron 0.765367 96, 288, 208, 48
qrit 4D quasirhombated tesseract 0.765367 96, 288, 248, 56
quippic 4D quasiprismatotetracontoctachoron 0.765367 144, 576, 672, 240
quithip 4D quasitruncated-hexahedron prism 0.765367 48, 96, 64, 16
stodip 4D octagram-octagram duoprism 0.765367 64, 128, 80, 16
wavitoth 4D sphenoverted tesseractitesseractihexadecachoron 0.765367 96, 288, 200, 32
sirsiddip 4D small-(inverted)-retrosnub-icosicosidodecahedron prism 0.766294 120, 420, 404, 114
quiten 9D quasitruncated enneract 0.770160 4608, 20736, 47616, 69888, 68544, 45024, 19104, 4752, 530
gipe 4D great-icosahedron prism 0.771681 24, 72, 70, 22
sissiddip 4D small-stellated-dodecahedron prism 0.771681 24, 72, 54, 14
stappyp 4D pentagram-pyramidal prism, line || stip 0.771681 12, 26, 22, 8
... 3D xo3oo&#q, longer variant of trigonal pyramid, vertex figure of tepe 0.774597 4, 6, 4
... 4D 2firp (?) 0.774597
... 4D 2rap (?) 0.774597
... 4D 2rap+20tet (?) 0.774597
apid (alt.: bamid) 4D antiprismatodecachoron, biambodecachoron, triangle based biambodecachoron 0.774597 20, 90, 100, 30
bidrap, K-4.8 4D bidiminished rectified pentachoron, antiduowedge, square - tetrahedral wedge, digonal gyrobicupolaic ring, {4} || tet, line || ortho trip 0.774597 8, 18, 17, 7
firp 4D faceted rectified pentachoron, retropyrohemiperichoron, vertex figure of dah, tetrahedral cuploid 0.774597 10, 30, 35, 15
... 4D firp+rap+15{4} (?) 0.774597
fitetaoct 4D faceted 3tet atop oct 0.774597 10, 30, 30, 10
... 4D vertex figure of hexadecateron 0.774597 10, 45, 45, 10
hotetahoct 4D hollow tet atop hollow oct 0.774597 10, 30, 32, 12
pafirp 4D partially faceted rap, reduced 3tet atop 2thah self-blend, tet atop "squares of thah" 0.774597 10, 30, 31, 11
pinnip 4D prismatointercepted pentachoron, retropyroinvertirectichoron, vertex figure of han 0.774597 10, 30, 45, 15
... 4D pinnip+5 2thah (?) 0.774597
... 4D vertex figure of retrodishexadecateron 0.774597 10, 45, 50, 15
rap (old: rip, alt.: tetaoct), tet || oct, K-4.5 4D rectified pentachoron, pyrorectichoron, tetrahedral cupola, vertex figure of hin, tetrahedron atop octahedron, Gosset polytope 02,1 0.774597 10, 30, 30, 10
... 4D vertex figure of retropenteractihexadecateron 0.774597 10, 45, 60, 15
traf, K-4.6 4D triangular antifastegium, triangle oct wedge, {3} || gyro trip, {3} || oct, (vertex-) diminished rap 0.774597 9, 24, 24, 9
trippy, K-4.7 4D trigonal-prismatic pyramid, vertex pyramid of the rectified pentachoron 0.774597 7, 15, 14, 6
tubidrap 4D blend of 2 bidraps 0.774597 12, 32, 32, 11
turap 4D two rectified-pentachoron cupolaic blend 0.774597
tutrippapy 4D tutrip pyramid, internal blend of 2 trippies 0.774597 9, 22, 22, 9
rapatip 5D rap atop tip, rap-first cap of sarx 0.774597 30, 90, 100, 50, 12
bife 6D bitetradecapeton, tetradecapeton dual, 14-3-5 step prism 0.774597 14, 84, 280, 490, 420, 140
... 4D vertex figure of great facetosphenary penteract 0.776106 8, 24, 32, 16
tistadip 4D triangle - pentagram duoprism, pentagram - stip wedge 0.780850 15, 30, 23, 8
... 4D xo3oo3oo&#q, taller variant of tetrahedral pyramid 0.784465 5, 10, 10, 5
phat 2D hyperbolic pentahexagonal tiling 0.786151 i
siditetpeat 2D small ditetragonary tetrapentagonal tiling, hyperbolic x4o4o5/2*a tiling 0.786151 i
... 3D hyperbolic cyclotruncated tetrahedral-icosahedral honeycomb 0.786151 i
... 3D hyperbolic x3x5o3o5*a tesselation 0.786151 i
... 3D complex polyhedron x3-3-o3 || o3-3-x3 , vertex figure of x3-3-o3-3-o3-3-x3 0.790569 16, 40, 18
... 3D xo ox&#q, longer variant of digonal antiprism, vertex figure of triddip 0.790569 4, 6, 4
hocucup 4D hollow cuboid cupoliprism, six tepe blend, "coord-planes squares star" atop "coord-planes squares star" 0.790569 24, 72, 72, 18
tepe, K-4.9 (alt: dycuf) 4D tetrahedron prism, line || trip, square - square bi-wedge, digonal orthobicupolaic ring, vertex figure of rix, dyadic cupolafastegium, equatorial cross-section of tet-first hin 0.790569 8, 16, 14, 6
tutepe 4D blend of 2 tepes 0.790569 12, 28, 26, 10
... 5D 2dah (?) 0.790569
bidhin (alt.: octahex, tetalrap, tetaltet octtric) 5D bidiminished hemipenteract, oct || hex, tet || inverted rap, (tet,dual tet,oct)-trigonic 0.790569 14, 60, 100, 69, 17
bidot 5D bidodecateron, triangular duotegmatic icosateron, triangular duotegmatic alterprism, dodecateron dual 0.790569 12, 60, 120, 90, 20
bidrappy 5D bidrap pyramid 0.790569 9, 26, 35, 24, 8
dah 5D dishexadecateron, vertex figure of kaje 0.790569 16, 80, 160, 120, 32
dihin (alt.: penalrap) 5D (vertex-)diminished hemipenteract, pentachoron atop alternate rectified pentachoron 0.790569 15, 70, 130, 95, 22
ditetaf (alt.: traltepe, penaltrip) 5D diminished tetaf, triangle atop gyrated tepe, pen atop gyrated trip, (edge,perp triangle,gyro trip)-trigonic 0.790569 11, 37, 54, 37, 11
editetaf 5D edge-diminished tetaf, (top base) edge-diminishing of tet-first rotunda of hin 0.790569 10, 29, 38, 25, 8
han 5D hexadecapenteract, vertex figure of daj 0.790569 16, 80, 160, 160, 26
hin 5D hemipenteract, demipenteract, hemitesseractic gyroprism, tetrahedral altersquarism, vertex figure of jak, Gosset polytope 12,1 0.790569 16, 80, 160, 120, 26
hit 5D hexadecateron 0.790569 16, 80, 220, 120, 16
hosiap 5D hollow stellated icosatetrachoric antiprism, pseudo stico atop pseudo stico 0.790569 48, 336, 768, 624, 144
radah 5D retrodishexadecateron 0.790569 16, 80, 220, 160, 32
rappy 5D rectified-pentachoric pyramid, vertex cap of hin 0.790569 11, 40, 60, 40, 11
rinah 5D retropenteractihexadecateron 0.790569 16, 80, 220, 200, 26
... 5D isomorph of small rhombihemipenteract 0.790569
squasquasc 5D {4} atop squasc 0.790569 10, 29, 38, 25, 8
tedhin 5D tetradiminished hemipenteract, square || hex 0.790569 12, 44, 73, 56, 17
tetaf (alt.: tetaltepe, tettet altettric) 5D tetrahedral antifastegium, tet atop inverted tepe, tet-first rotunda of hin, (tet,tet,dual tet)-trigonic 0.790569 12, 46, 78, 59, 17
todin 5D triacontadiadispenteract, compound of 2 hin 0.790569
trafpy 5D triangular antifastegium pyramid, (triangular prism, gyro triangular pyramid)-disphenoid 0.790569 10, 33, 48, 33, 10
triddaf 5D triangular duoantifastegium, digonal-triangular duoantiwedge, trip atop bidual trip 0.790569 12, 42, 58, 36, 10
trippasc 5D triangular-prismatic scalene, triangular-prismatic-pyramid pyramid, line atop fully orthogonal triangular-prism 0.790569 8, 22, 29, 20, 7
tistodip 4D triangle - octagram duoprism, octagram - stop wedge 0.791345 24, 48, 35, 11
gafwan 5D great facetosphenary penteract 0.792893 320, 1280, 1840, 1120, 210
quarn 5D quasirhombated penteract 0.792893 320, 1280, 1520, 680, 122
quititip 5D quasitruncated-tesseract prism 0.792893 128, 320, 304, 136, 26
wavinant 5D sphenoverted penteractipenteractitriacontaditeron 0.792893 320, 1280, 1280, 440, 52
grassid 3D great rhombisnub dodecahedron, compound of 6 stiddip 0.794963
stiddip 3D (tristrophic) decagrammic prism, stellated decagonal prism, 10/3-prism, 10-prism with winding number 3 0.794963 20, 30, 12
geihiddip 4D great-icosihemidodecahedron prism 0.794963 60, 150, 112, 28
giddip 4D great-icosidodecahedron prism 0.794963 60, 150, 124, 34
gidhiddip 4D great-dodecahemidodecahedron prism 0.794963 60, 150, 96, 20
gipriphi 4D great pseudorhombated prismatohecatonicosachoron 0.799575 3600, 10800, 9240, 2040
... 4D gipriphi+600 2thah (?) 0.799575
gwavixady 4D great sphenoverted hexacosadishecatonicosachoron 0.799575 3600, 10800, 6960, 840
qrigogishi (old: qrahi) 4D quasirhombated great grand stellated hecatonicosachoron 0.799575 3600, 10800, 9120, 1920
... 4D xo3oo ox&#q, q-laced trigonal scalene 0.804400 5, 10, 10, 5
penp 5D pentachoron prism, vertex figure of ril 0.806226 10, 25, 30, 20, 7
... 4D 3sishi (?) 0.809017
stastidedip 4D pentagram - decagram duoprism 0.811393 50, 100, 65, 15
ship 3D bistrophic heptagrammic prism, heptagrammic prism of winding number 2, small heptagrammic prism, small stellated heptagonal prism 0.811783 14, 21, 9
ripped 3D hyperbolic rectified order 5 dodecahedral honeycomb 0.813126 i
... 3D Hessian polyhedron, complex polyhedron x3-3-o3-3-o3 0.816497 27, 72, 27
... 3D vertex figure of great antifrustary trishecatonicosachoron 0.816497 8, 12, 6
... 3D vertex figure of great retrofrustary trishecatonicosachoron 0.816497 8, 12, 6
... 3D vertex figure of ope 0.816497 5, 8, 5
retrip (alt.: amtrip) 3D rectified/ambified trip, kernel of trip and m m3o, o2o3o symmetric co relative 0.816497 9, 18, 11
... 3D vertex figure of small antifrustary trishecatonicosachoron 0.816497 8, 12, 6
... 3D vertex figure of small retrofrustary trishecatonicosachoron 0.816497 8, 12, 6
... 3D vertex figure of small spinofrustary trishecatonicosachoron 0.816497 8, 14, 8
... 4D vertex figure of biprismatododecateron 0.816497 9, 36, 42, 15
... 4D vertex figure of biprismatointercepted dodecateron 0.816497 9, 36, 45, 15
bideca (old: dudeca) 4D bidecachoron, decachoron dual, bi-apiculated pentachoron 0.816497 10, 40, 60, 30
... 4D vertex figure of cellibiprismatohexateron 0.816497 9, 36, 48, 21
... 4D vertex figure of cellidishexateron 0.816497 9, 36, 48, 15
triddip, K-4.10 4D triangle-triangle duoprism, triangle - trip wedge, vertex figure of dot, Delone cell of lattice A2×A2, equatorial cross-section of trig-first rix 0.816497 9, 18, 15, 6
... 5D 2firx (?) 0.816497
bidrix 5D bidiminished rectified hexateron 0.816497 13, 44, 59, 36, 10
firx 5D facetorectified hexateron 0.816497 15, 60, 105, 90, 31
octatepe (alt.: tettet octtric) 5D oct atop tepe, diminished rix, (tet,tet,oct)-trigonic 0.816497 14, 52, 70, 41, 11
rix 5D rectified hexateron, vertex figure of hax, Gosset polytope 03,1, equatorial cross-section of hix-first jak 0.816497 15, 60, 80, 45, 12
... 5D isomorph of small birhombated dodecateron 0.816497 90, 360, 420, 180, 32
tedrix 5D tridiminished rectified hexateron, square triorthowedge, lace simplex of 3 mutually orthogonal squares 0.816497 12, 36, 47, 30, 9
tepepy 5D tetrahedral-prismatic pyramid, vertex pyramid of rectified hexateron 0.816497 9, 24, 30, 20, 7
trial triddip 5D {3} atop gyrated triddip, {3}-first cap of rix 0.816497 12, 39, 52, 33, 10
... 6D 2kaje (?) 0.816497
... 6D isomorph of birectified pentacontitetrapeton 0.816497 2160, 12960, 19440, 10800, 2286, 126
daj (old: dije) 6D disicosiheptapeton, vertex figure of nal 0.816497 27, 216, 720, 1080, 783, 54
dedjak 6D decadiminished icosiheptaheptacontidipeton 0.816497 17, 86, 205, 255, 158, 39
dihinpy 6D diminished-demipenteractic pyramid, (rap, dual pen, point)-trigonic 0.816497 16, 85, 200, 225, 117, 23
dijak (alt.: taccahin) 6D (mono-)diminished icosiheptaheptacontidipeton, tac atop hin, vertex figure of jaka 0.816497 26, 200, 640, 920, 538, 84
endjak 6D ennea-diminished jak 0.816497 18, 90, 192, 213, 126, 33
gaje (old: gaj, older: gij) 6D great icosiheptaheptacontidipeton 0.816497 27, 216, 990, 990, 216, 27
hedjak 6D heptadiminished jak, square || hin 0.816497 20, 116, 289, 328, 166, 31
hinpy 6D demipenteractic pyramid, vertex pyramid of jak 0.816497 17, 96, 240, 280, 146, 27
hixalrix 6D hexateron atop inverted rectified hexateron, hix-first rotunda of jak 0.816497 21, 135, 370, 480, 273, 49
hixaltriddip 6D hix atop alternate triddip, ({3}, perp. {3}, alt. triddip)-trigonic, 1/6-lune of jak 0.816497 15, 69, 143, 147, 73, 15
hixip 6D hexateron prism, vertex figure of roc 0.816497 12, 36, 55, 50, 27, 8
jak (old: yaz) 6D icosiheptaheptacontidipeton, argyropeton, sideropeton, Gosset polypeton 22,1, vertex figure of naq, Delone cell of lattice E6 0.816497 27, 216, 720, 1080, 648, 99
kaje 6D heptacontidiaicosiheptapeton, vertex figure of quil 0.816497 27, 216, 720, 1080, 567, 99
madek 6D pentacontatetradisheptacontadipeton, compound of 2 jak 0.816497
... 6D bidodecateric heptacontadipeton, pentacontitetrapeton dual, convex hull of madek 0.816497 54, 702, 2160, 2160, 720, 72
penaf (old: penalpenp) 6D pentachoron antifastegium, pentachoron atop inverted pentachoral-prism, pen-first cap of jak 0.816497 15, 75, 180, 225, 138, 33
rapalpenp 6D rap atop inverted penp, pen-first medial subsegment of jak 0.816497 20, 115, 270, 280, 128, 23
rapesc 6D rectified-pentachoric scalene, rectified-pentachoron-pyramid pyramid, line atop fully orthogonal rectified pentachoron 0.816497 12, 51, 100, 100, 51, 12
tedjak (alt.: hexgyt, hexalhin) 6D tridiminished icosiheptaheptacontidipeton, tridiminished 22,1, hexadecachoral gyrotrigonism 0.816497 24, 168, 480, 600, 315, 51
tripal triddip 6D trip atop gyro-perp triddip 0.816497 15, 63, 110, 97, 46, 11
trippete 6D trip tettene, {3}-first cap of jak 0.816497 9, 30, 51, 49, 27, 8
ahexah 3D hyperbolic alternated hexagonal-tiling honeycomb 0.816497 i
quishexah 3D hyperbolic quarter order 4 hexagonal-tiling honeycomb 0.816497 i
stotet 5D octagram-tetrahedron duoprism, octagram duofastegium 0.817247 32, 80, 84, 46, 12
traquith 5D triangle quasitruncated-cube duoprism 0.817997 72, 180, 174, 81, 17
qrax 6D quasirhombated hexeract 0.819496 960, 4800, 7280, 4960, 1788, 268
... 3D v3o3x, variation of cuboctahedron, vertex figure of gadtaxady 0.820211 12, 24, 14
gassic 3D (chiral) great snub cube, compound of 3 squap 0.822664
gidsac 3D great disnub cube, compound of 6 squap 0.822664
squap 3D square antiprism 0.822664 8, 16, 10
hopip 7D heptapeton prism, vertex figure of rene 0.823754 14, 49, 91, 105, 77, 35, 9
stappip 4D pentagramic-antiprism prism 0.825168 20, 50, 44, 14
quit gissiddip 4D quasitruncated-great-stellated-dodecahedron prism 0.826058 120, 240, 144, 34
ocpe 8D octaexon prism, vertex figure of reday 0.829156 16, 64, 140, 196, 182, 112, 44, 10
... 2D hyperbolic shieldo-trigonal-horocyclic tiling 0.829156 i
sissiddow 7D sissidic disphenoid, sissid atop fully orthogonal sissid 0.831254 24, 204, 744, 1190, 744, 204, 24
enep 9D enneazetton prism, vertex figure of ru 0.833333 18, 81, 204, 336, 378, 294, 156, 54, 11
... 3D xo oq&#q, tetrahedron with one shorter edge, vertex figure of tisdip 0.836660 4, 6, 4
... 4D vertex figure of great pteroprismated penteract 0.837186 9, 24, 24, 9
... 4D vertex figure of great prismated biprismatopenteract 0.837186 9, 36, 48, 21
teoct 2D hyperbolic tetraoctagonal tiling 0.840896 i
spiddish 3D hyperbolic small prismated dissquare-tiling honeycomb 0.840896 i
tratet (alt.: tettet tettric) 5D triangle - tetrahedron duoprism, triangle duofastegium, vertex figure of bril, (tet,tet,tet)-trigonic 0.841625 12, 30, 34, 21, 7
stohix 7D octagram - hexateron duoprism 0.842354 48, 168, 286, 295, 188, 71, 14
... 6D 2firl (?) 0.845154
firl 6D facetorectified heptapeton 0.845154 21, 105, 245, 315, 217, 63
octa tratet 6D oct atop tratet, oct-first cap of ril 0.845154 18, 78, 132, 112, 52, 12
pedril (alt.: squatratet) 6D pentadiminished rectified heptapeton, square atop tratet 0.845154 16, 58, 95, 83, 40, 10
penppy 6D penp pyramid, vertex-pyramid of ril 0.845154 11, 35, 55, 50, 27, 8
rapa penp 6D rap atop penp, rap-first cap of ril 0.845154 20, 95, 160, 130, 58, 13
ril (old: riss) 6D rectified heptapeton, vertex figure of hesa, Gosset polytope 04,1 0.845154 21, 105, 175, 140, 63, 14
tidril 6D tridiminished rectified heptapeton, (pen,pen,bidrap)-trigonic 0.845154 18, 75, 127, 107, 48, 11
trial tratet 6D triangle atop dual tratet, triangle-first cap of ril 0.845154 15, 57, 95, 85, 43, 11
quersa 7D quasirhombated hepteract 0.845261 2688, 16128, 29792, 27440, 15064, 4564, 590
... 3D 2quitsissid (?) 0.852911
quit sissid 3D quasitruncated small stellated dodecahedron, small stellated truncated dodecahedron, small stellatruncated dodecahedron 0.852911 60, 90, 24
ghihi 4D great hecatonicosihecatonicosachoron 0.854102 3600, 7200, 3360, 240
trapen 6D triangle - pentachoron duoprism, vertex figure of broc 0.856349 15, 45, 65, 55, 28, 8
... 3D 2cube (?) 0.866025
... 3D 2ditdid+5cube (?) 0.866025
... 3D 2gidtid+5cube (?) 0.866025
... 3D 2sidtid+5cube (?) 0.866025
... 3D 3gidtid (?) 0.866025
... 3D 3sidtid (?) 0.866025
cadditradid 3D complex (ditrigonary) rhombidodecadodecahedron 0.866025
cube (alt: squip) 3D cube, hexahedron, 3D measure-polytope (γ3), geochor(id), square prism, cantellated square dihedron, triangular antitegum, Voronoi cell of primitive cubical lattice, Delone cell of primitive cubical lattice, terminally chamfered tetrahedron, surtegmated tetrahedron 0.866025 8, 12, 6
disdi-verf 3D vertex figure of disnub disicositetrachoron 0.866025 17, 51, 24
ditdid 3D ditrigonal dodecadodecahedron, vertex figure of dittady 0.866025 20, 60, 24
... 3D ditdid+gidtid (?) 0.866025
dritit (old: sipstar) 3D disrhombitritrihedron, "square-pentagon-pentagram(star)-thingy", vertex figure of retroantiprismatosnub disicositetrachoron, edge faceting sidtid-3-0-6-3-b 0.866025 15, 24, 12
dudsi 3D small noble triangular hexecontahedron, dual of D-stellation of icosahedron, D-faceting of dodecahedron, vertex figure of paphicki 0.866025 20, 90, 60
... 3D vertex figure of getut 0.866025 20, 108, 64
gicdatrid 3D great complex (ditrigonary) rhombicosidodecahedron 0.866025 60, 120, 62
gidtid 3D great ditrigonary icosidodecahedron, vertex figure of gidtixhi 0.866025 20, 60, 32
gifodib 3D sidtid faceting sidtid-2-10-20-0 (i.e. with 10(=d) {3}, 20(=i) {4}, and 2(=b) {5/2}) 0.866025 20, 60, 32
hudsi 3D great noble triangular hexecontahedron, dual of H-stellation of icosahedron, H-faceting of dodecahedron, vertex figure of paphacki, huitzilopochtli 0.866025 20, 90, 60
mesdi-verf 3D vertex figure of medial snub disicositetrachoron 0.866025 15, 42, 21
... 3D oqo3ooq&#xt, cubera (cube chimera), (fully) mono-truncated cube 0.866025 7, 12, 7
... 3D qo3oo&#x, shallower variant of trigonal pyramid, vertex pyramid of cube 0.866025 4, 6, 4
... 3D qo3oq&#x, shallower variant of trigonal antiprism, medial segment of cube 0.866025 6, 12, 8
quistet 3D quadratisnub tetratetrahedron, chiral edge faceting sidtid-0-8-12-0-b 0.866025 16, 36, 20
rah 3D rhombihexahedron, compound of 3 cube 0.866025
rapescu 3D retrograde pentagonal cuploid, retrograde pentagonal semicupola 0.866025 10, 20, 11
rhom 3D rhombihedron, compound of 5 cube 0.866025
risdoh 3D rhombisnub dishexahedron, compound of 6 cube, Skilling's compound 0.866025
... 3D vertex figure of setut 0.866025 20, 108, 64
sicdatrid 3D small complex (ditrigonary) rhombicosidodecahedron 0.866025 60, 120, 62
sidtid 3D small ditrigonary icosidodecahedron, holosnub dodecahedron, vertex figure of sidtixhi 0.866025 20, 60, 32
... 3D sidtid+ditdid (?) 0.866025
... 3D sidtid+ditdid+gidtid (?) 0.866025
... 3D sidtid+gidtid (?) 0.866025
sifodib 3D sidtid faceting sidtid-0-10-20-2 (i.e. with 10(=d) {3}, 20(=i) {4}, and 2(=b) {5}) 0.866025 20, 60, 32
stacu 3D pentagrammic cupola, star cupola 0.866025 15, 25, 12
stapper 3D star pentagonal retrohedron 0.866025 12, 20, 10
stiscu 3D pentagrammic cuploid, star semicupola 0.866025 10, 20, 11
stopper 3D star pentagonal rhombihedron 0.866025 12, 24, 12
trippescu 3D tripod pentagonized semicupola, edge faceting sidtid-0-3-3-3 0.866025 10, 18, 9
... 3D xo3ox&#q, longer variant of trigonal antiprism, vertex figure of spid 0.866025 6, 12, 8
... 4D 2thahp (?) 0.866025
... 4D three squippyp blend, "coord-axes edge star" atop cube 0.866025
... 4D vertex figure of cellihemidodecateron 0.866025 8, 24, 32, 12
... 4D vertex figure of dodecabiprismatohemidodecateron 0.866025 8, 24, 32, 12
dygytpuf, K-4.13 4D dyadic gyrotegmipucofastegium, 3-prism atop reflected ortho 3-prism 0.866025 12, 30, 30, 12
gidriddip 4D great-dirhombicosidodecahedron prism, great-snub-disicosidisdodecahedron prism, prism of Miller's monster 0.866025 120, 540, 488, 126
ope, K-4.11 (alt: dytpuf) 4D octahedron prism, vertex figure of rat, dyadic tegmipucofastegium, equatorial cross-section of tet-first dot 0.866025 12, 30, 28, 10
... 4D vertex figure of retrotriacontidicellihemitriacontaditeron 0.866025 12, 54, 82, 28
squippyp, K-4.12 4D square-pyramidal prism, J1 prism, line || cube, digonal magnabicupolaic ring 0.866025 10, 21, 18, 7
tedope 4D tetra(hedrally) diminished octahedronal prism 0.866025 8, 22, 26, 12
thahp 4D tetrahemihexahedral prism, vertex figure of rhohid 0.866025 12, 30, 26, 9
... 4D xo3oo3ox&#q, longer variant of tetrahedral antiprism, vertex figure of scad 0.866025 8, 24, 32, 16
bad 5D biprismatododecateron 0.866025 20, 90, 210, 150, 32
bend 5D biprismatointercepted dodecateron 0.866025 20, 90, 210, 150, 32
cabbix 5D cellibiprismatohexateron 0.866025 20, 90, 210, 165, 41
caddix 5D cellidishexateron 0.866025 20, 90, 210, 165, 27
dot (alt.: rapa) 5D dodecateron, birectified hexateron, equatorial cross-section of (vertex first) 1/q-ax, rap alterprism, rap atop inverted rap, vertex figure of mo, Gosset polytope 02,2, equatorial cross-section of hix-first hax 0.866025 20, 90, 120, 60, 12
hexip 5D hexadecachoron prism, vertex figure of rag, equatorial cross-section of hex-first hax 0.866025 16, 56, 88, 64, 18
octpyp, line||ope 5D octahedron-prismatic wedge, line atop ope, octahedral-pyramid prism, half of hexip 0.866025 14, 43, 58, 38, 11
squascop 5D squasc prism, square-scalene prism, square atop cube 0.866025 12, 32, 39, 25, 8
taope 5D triangle atop octahedral-prism 0.866025 15, 51, 68, 41, 11
teddot 5D tetradiminished dodecateron, bidrap alterprism, bidrap atop gyroinverted bidrap 0.866025 16, 54, 78, 54, 16
teta ope (alt.: octarap, tetoct octtric) 5D tetrahedron atop octahedron-prism, octahedron atop rectified-pentachoron, half of dodecateron (its tet-first rotunda), (tet,oct,oct)-trigonic 0.866025 16, 60, 80, 45, 11
tetcubedaw (alt.: daworsquip) 5D (tet,cube)-disphenoid, 1/6-lune of dodecateron, digonal antiprism atop axis-orthogonal square prism 0.866025 12, 34, 42, 26, 8
tridafup (alt.: pabdidot) 5D triangular duoantifastegiaprism, triangular duoantiwedge, triddip atop bidual triddip, central segment of vertex first dot, parabidiminished dot 0.866025 18, 72, 102, 60, 14
triddippy 5D trigonal-duoprismatic pyramid, vertex pyramid of the dodecateron 0.866025 10, 27, 33, 21, 7
... 5D xo3oo3oo3ox&#q, longer variant of pentachoral antiprism, vertex figure of staf 0.866025 10, 40, 80, 80, 32
gedak 6D hexacontitetradishexeract, compound of 2 hax 0.866025
hax 6D hemihexeract, vertex figure of laq, Gosset polytope 13,1, equatorial cross-section of gee-first naq 0.866025 32, 240, 640, 640, 252, 44
hexaf, hex || gyro hexip 6D hexadecachoral alterfastegium, hex atop gyrated hexip, hex-first rotunda of hax 0.866025 24, 144, 344, 352, 155, 27
hixacube 6D hix atop edge-parallel cube 0.866025 14, 51, 86, 78, 39, 10
hixadot 6D hexateron atop dodecateron, hix-first half of hax 0.866025 26, 165, 380, 365, 153, 29
odhax 6D octadiminished hemihexeract 0.866025 24, 132, 310, 336, 162, 28
... 6D (mono) tetal tratet augmented tetdip 0.866025 20, 90, 180, 183, 97, 24
rixa (alt.: pabdihax, old: rixalrix) 6D rectified hexateron alterprism, parabidiminished demihexeract, rectified hexateron atop inverted rectified hexateron 0.866025 30, 210, 520, 510, 204, 34
rixpy 6D rectified-hexateronal pyramid, vertex pyramid of demihexeract 0.866025 16, 75, 140, 125, 57, 13
taccup 6D triacontiditeron prism, vertex figure of rez 0.866025 20, 90, 200, 240, 144, 34
tepasc 6D tetrahedral-prismatic scalene, tetrahedron-prism-pyramid pyramid, line atop fully orthogonal tetrahedron prism 0.866025 10, 33, 54, 50, 27, 8
tetal tratet 6D tetrahedron atop alternate triangle,tetrahedron-duoprism 0.866025 16, 72, 146, 148, 76, 18
tetdip 6D tetrahedron-tetrahedron duoprism, vertex figure of he 0.866025 16, 48, 68, 56, 28, 8
tratetdafup 6D triangular-tetrahedral duoantifastegiaprism, tratet atop bidual tratet 0.866025 24, 132, 284, 282, 128, 22
tritra ope 6D (triangle, dual triangle, trip, gyro trip) lace simplex 0.866025 18, 78, 138, 121, 55, 12
dijakpy 7D diminished-icosiheptaheptacontidipetic pyramid, (hin, tac, point)-trigonic 0.866025 27, 226, 840, 1560, 1458, 622, 85
froc 7D facetorectified octaexon 0.866025 28, 168, 490, 840, 868, 504, 127
gahax 7D gee atop hax, gee-first segment of naq 0.866025 44, 492, 2240, 4880, 5244, 2452, 298
geep 7D hexacontitetrapeton prism, hexacross prism, vertex figure of rek 0.866025 24, 132, 380, 640, 624, 320, 66
hexalhax 7D hex atop alternate hax 0.866025 40, 392, 1504, 2640, 2237, 848, 101
hinsc 7D demipenteractic scalene, demipenteractic-pyramid pyramid, line atop fully orthogonal demipenteract 0.866025 18, 113, 336, 520, 426, 173, 28
hixaf 7D hexateron antifastegium, hix atop inverted hixip, hix-first cap of naq 0.866025 18, 111, 345, 605, 603, 313, 65
hixippy 7D hexateron prism pyramid, vertex-pyramid of roc 0.866025 13, 48, 91, 105, 77, 35, 9
hopalril 7D hop atop inverted ril, hop-first cap of naq 0.866025 28, 231, 840, 1575, 1554, 721, 107
idinaq (alt.: trahixdap) 7D icosa-diminished naq, triangular-hexateric duoalterprism 0.866025 36, 306, 1122, 2130, 2136, 1008, 152
jaka (alt.: pabdinaq, old: jakaljak) 7D jak alterprism, jak atop inverted jak, vertex-first medial segment of naq, parabidiminished naq 0.866025 54, 702, 3600, 8640, 9936, 4806, 560
jakpy 7D icosihepta-heptacontidi-peton pyramid, vertex-first cap of naq 0.866025 28, 243, 936, 1800, 1728, 747, 100
nal 7D hecatonicosihexa-pentacontihexa-exon, vertex figure of fib 0.866025 56, 756, 4032, 10080, 12096, 6804, 182
naq (alt: rocalroc) 7D hecatonicosihexapentacosiheptacontihexaexon, sideroexon, Gosset polyexon 32,1, alterelongated jak tegum, vertex figure of fy, (one of the) Delone cell(s) of lattice E7, tegum sum of 2 mutually inverted rectified octaexa, biambohexadecaexon, lattice E7* contact polytope (span of its roots) 0.866025 56, 756, 4032, 10080, 12096, 6048, 702
octatetdip 7D oct atop tetdip, oct-first half of roc 0.866025 22, 108, 220, 245, 164, 64, 13
odinaq (alt.: hexgyo) 7D octa-diminished naq, hexadecachoral gyro-octahedronism 0.866025 48, 552, 2496, 5280, 5478, 2508, 320
quil 7D pentacosiheptacontihexa-pentacontihexa-exon, vertex figure of yab 0.866025 56, 756, 4032, 10080, 12096, 4788, 632
rapatrapen 7D rectified pentachoron atop triangle-pentachoron duoprism, rap-first cap of roc 0.866025 25, 135, 275, 295, 189, 71, 14
rapete 7D rap tettene 0.866025 13, 63, 151, 200, 151, 63, 13
rila (old: rilalril) 7D rectified heptapeton alterprism, rectified heptapeton atop inverted rectified heptapeton, hop-first medial segment of naq 0.866025 42, 420, 1610, 2800, 2226, 742, 86
rixahixip 7D rectified hexateron atop hexateron prism, rix-first cap of roc 0.866025 27, 156, 315, 330, 209, 78, 15
roc 7D rectified octaexon, vertex figure of hocto, Gosset polytope 05,1 0.866025 28, 168, 336, 350, 224, 84, 16
tacpyp 7D triacontaditeric-pyramid prism, edge-first rotunda of geep 0.866025 22, 111, 290, 440, 384, 178, 35
tedroc 7D tetradiminished rectified octaexon, (hix,hix,tedrix)-trigonic 0.866025 24, 120, 246, 264, 164, 60, 12
trahix 7D triangle - hexateron duoprism, vertex figure of brene 0.866025 18, 63, 111, 120, 83, 36, 9
trapendafup 7D triangular-pentachoron duoantifastegiaprism, trapen atop bidual trapen 0.866025 30, 210, 610, 910, 716, 272, 38
trial trapen 7D triangle atop inverted triangle-pentachoron duoprism, triangle-first cap of roc 0.866025 18, 78, 156, 180, 128, 54, 12
trippepe 7D trip pennene 0.866025 10, 39, 81, 100, 76, 35, 9
zeep 8D hecatonicosoctaexon prism, vertex figure of riv 0.866025 28, 182, 644, 1400, 1904, 1568, 704, 130
ekip 9D diacosipentacontahexazetton prism, vertex figure of rake 0.866025 32, 240, 1008, 2688, 4704, 5376, 3840, 1536, 258
azat 2D hyperbolic order 3 apeirogonal tiling, hyperbolic order 3 horocyclic tiling, hyperbolic truncated order ∞ horocyclic tiling 0.866025 i
... 3D hyperbolic o3o4s4o tesselation 0.866025 i
... 3D hyperbolic x3x4o3o5*a tesselation 0.869999 i
staw 4D pentagrammic gyrobicupolaic ring, star antiwedge, {10/2} || stap 0.870153 20, 50, 43, 13
stisaw 4D reduced pentagrammic gyrobicupolaic ring, star semiantiwedge, pseudo {10/2} || stap 0.870153 15, 45, 42, 13
qro 8D quasirhombated octeract 0.870264 7168, 50176, 109312, 127232, 94304, 43456, 11376, 1296
trihop 8D triangle - heptapenton duoprism, vertex figure of breday 0.872872 21, 84, 175, 231, 203, 119, 45, 10
gheat 2D great heptagonal tiling, hyperbolic order 7/2 heptagon tiling 0.873057 i
hetrat 2D hyperbolic order 7 triangular tiling 0.873057 i
... 4D 2gadtifady (?) 0.874032
... 4D 2gitphi (?) 0.874032
gadatady 4D grand ditetrahedral dishecatonicosachoron 0.874032 600, 3600, 2160, 240
gadathiphi 4D grand ditetrahedronary hecatonicosaprismatohecatonicosachoron 0.874032 600, 7200, 7440, 1440
... 4D gadathiphi+600 2tet (?) 0.874032
gaddiddip 4D great-dodekicosidodecahedron prism 0.874032 120, 300, 208, 46
gadtap 4D great ditetrahedronary prismatochoron, compound of 36 stadidip 0.874032
gadtaxady 4D grand ditetrahedronary hexacosadishecatonicosachoron 0.874032 600, 3600, 3840, 840
gadtaxhi 4D great ditetrahedronary hexacosihecatonicosachoron 0.874032 600, 3600, 3120, 720
gadtef pixady 4D great ditetrahedronary exofissary prismatohexacosadishecatonicosachoron 0.874032 2400, 10800, 9840, 2040
gadtifady (old: gadtafady) 4D great ditetrahedronarofissary dishecatonicosachoron 0.874032 600, 3600, 4560, 240
gaedit pathi 4D grand exoditetrahedronary prismatotriakishecatonicosachoron 0.874032 2400, 10800, 8880, 1080
gaid tathi 4D grand inverted ditetrahedronary trishecatonicosachoron 0.874032
gard tadhix 4D grand retroditetrahedronary dishecatonicosihexacosachoron 0.874032 600, 3600, 5280, 840
gardatady 4D grand retroditetrahedral dishecatonicosachoron 0.874032 600, 3600, 3840, 240
... 4D gardatady+1440{5} 0.874032
gardatathi 4D grand retroditetrahedronary trishecatonicosachoron 0.874032 600, 3600, 5280, 360
gardtapaxhi 4D grand retroditetrahedronary hexacosidishecatonicosachoron 0.874032 600, 3600, 7440, 1440
gardtaxady 4D grand retroditetrahedronary hexacosidishecatonicosachoron 0.874032 600, 3600, 3840, 840
gefidtethi 4D great exofissary ditetrahedronary tetrakishecatonicosachoron 0.874032 2400, 10800, 6720, 480
gefradit thix 4D great exofissary retroditetrahedronary triakishecatonicosihexacosachoron 0.874032 2400, 10800, 6720, 960
girdip 4D great-rhombidodecahedron prism 0.874032 120, 300, 204, 44
gitphi 4D great tripesic hecatonicosachoron 0.874032
qriddip 4D quasi-rhombicosidodecahedron prism 0.874032 120, 300, 244, 64
quad pagaxhi 4D quasidisprismatogrand hexacosihecatonicosachoron 0.874032 2400, 7200, 7440, 2640
quit sissidagird 4D quit sissid atop gird 0.874032 120, 330, 246, 56
... 4D reduced( ofx3/2oxx3ooo&xt by 2tet ) 0.874032 17, 42, 38, 13
stacupe 4D pentagrammic-cupola prism, stip atop 2pip 0.874032 30, 65, 49, 14
stadidip 4D decagram-decagram duoprism 0.874032 100, 200, 120, 20
... 2D hyperbolic shieldotetrapentagonal tiling of family o3o4o5*a, ditrigonal tiling of family o3o4o5*a 0.874835 i
trioc 9D triangle - octaexon duoprism, vertex figure of bru 0.877971 24, 108, 260, 406, 434, 322, 164, 55, 11
... 4D three squaf blend, "thah-squares star" atop cube 0.879465
octacube (alt.: octap), oct || cube, K-4.15 4D octahedron atop cube, octahedral antiprism, cubical antiprism, vertex figure of icoap 0.879465 14, 48, 62, 28
squaf, K-4.14 4D square antifastegium, square - squap wedge, {4} || gyro cube, bidiminished octahedral antiprism 0.879465 12, 32, 31, 11
squappy 4D square-antiprismatical pyramid 0.879465 9, 24, 26, 11
squippyal cube, K-4.16 4D squippy atop gyro cube 0.879465 13, 40, 47, 20
tetpen 7D tetrahedron-pentachoron duoprism, vertex figure of trene 0.880341 20, 70, 120, 125, 84, 36, 9
sistadip 4D square-pentagram duoprism 0.881132 20, 40, 29, 9
stoct 5D pentagram - octahedron duoprism 0.881132 30, 90, 106, 57, 13
rene 8D rectified enneazetton, vertex figure of henne, Gosset polytope 06,1 0.881917 36, 252, 588, 756, 630, 336, 108, 18
... 3D hyperbolic o5x3o3o5/2*b tesselation, rectified ditdih 0.882265 i
... 3D f v3o, variation of triangular prism, vertex figure of rectified great grand hecatonicosachoron 0.884212 6, 9, 5
... 3D hyperbolic o3x3x4o4*b tesselation 0.886405 i
tethix 8D tetrahedron-hexateron duoprism, vertex figure of treday 0.889757 24, 96, 194, 246, 209, 120, 45, 10
gahfipto 4D great hexadecafeceted prismatotesseractioctachoron 0.890446 64, 192, 208, 48
gaquipadah 4D great quasiprismatodishexadecachoron 0.890446 64, 192, 200, 72
gittifcoth 4D great tesseractifaceted cubitesseractihexadecachoron 0.890446 64, 192, 208, 48
gittith 4D great tesseractitesseractihexadecachoron 0.890446 64, 192, 136, 32
gnappoth 4D great spinoprismatotesseractihexadecachoron 0.890446 64, 192, 184, 56
goccope 4D great-cubicuboctahedron prism 0.890446 48, 120, 88, 22
gondip 4D great octagonal spinoduoprism 0.890446 128, 512, 640, 256
grohp 4D great-rhombihexahedron prism 0.890446 48, 120, 84, 20
picnut 4D prismatocubiintercepted tesseract 0.890446 64, 192, 232, 64
quercope 4D quasirhombicuboctahedron prism 0.890446 48, 120, 100, 28
quidpith (old: qippith) 4D quasi(dis)prismatotesseractihexadecachoron 0.890446 64, 192, 208, 80
sistodip 4D square - octagram duoprism 0.890446 32, 64, 44, 12
stowoct 5D octagram octahedron duoprism 0.890446 48, 144, 166, 84, 16
... 3D vertex figure of cope 0.894427 5, 8, 5
pendip 8D pentachoron duoprism, vertex figure of icoy 0.894427 25, 100, 200, 250, 210, 120, 45, 10
reday 9D rectified decayotton, vertex figure of hede, Gosset polytope 07,1 0.894427 45, 360, 960, 1470, 1512, 1050, 480, 135, 20
cubaope 5D cube atop octahedral-prism 0.895420 20, 90, 154, 111, 29
squiddaf 5D square duoantifastegium, digonal-square duoantiwedge, square prism atop bidual square prism 0.895420 16, 56, 76, 46, 12
tethop 9D tetrahedron-heptapeton duoprism, vertex figure of tru 0.896421 28, 126, 294, 441, 455, 329, 165, 55, 11
... 4D reduced( ofx3/2oxx4ooo&xt by oct+6{4} ) 0.899454 31, 84, 69, 20
peat 2D hyperbolic order 4 pentagonal tiling 0.899454 i
doehon 3D hyperbolic order 4 dodecahedral honeycomb 0.899454 i
shitte 4D hyperbolic order 4 hecatonicosachoric tetracomb 0.899454 i
penhix 9D pentachoron - hexateron duoprism, vertex figure of teru 0.903696 30, 135, 310, 455, 461, 330, 165, 55, 11
ru 10D rectified hendecaxennon, rectified undecaxennon, Gosset polytope 08,1 0.904534 55, 495, 1485, 2640, 3234, 2772, 1650, 660, 165, 22
... 3D v f5/2o, variation of 5/2-prism, vertex figure of ragashi 0.905040 10, 15, 7
... 3D v x5o, variation of pentagonal prism, vertex figure of ragishi 0.905040 10, 15, 7
... 3D q-laced digonal cupola, vertex figure of srip 0.906327 6, 9, 5
... 4D q-laced {3} || gyro trip, vertex figure of srix 0.907485 9, 24, 24, 9
... 4D vertex figure of topax 0.907485 9, 24, 24, 9
... 4D vertex figure of great dispinocellirhombated penteract 0.907821 8, 22, 24, 10
... 3D complex polyhedron x3   x3-3-o3 0.912871 24, 32, 11
... 3D q x3o, variation of triangular prism, vertex figure of rectified tesseract 0.912871 6, 9, 5
... 4D three tisdip blend, "coord-planes squares star" atop cube 0.912871
... 4D vertex figure of invertiretrolepidoteron 0.912871 12, 42, 42, 14
... 4D vertex figure of invertiretrohexadecalepidohemipenteract 0.912871 12, 54, 58, 18
... 4D vertex figure of spinotriacontaditeron 0.912871 12, 36, 36, 12
... 4D vertex figure of retrocellitriacontadiahexadecateron 0.912871 12, 48, 64, 22
tisdip, K-4.18 4D triangle - square duoprism, square - cube wedge, vertex figure of nit 0.912871 12, 24, 19, 7
tisquippy 5D triangle-squippy douprism, half of troct, (triangle,trip,trip)-trigonic 0.912871 15, 39, 44, 26, 8
troct (alt.: octoct octtric) 5D triangle-octahedron duoprism, vertex figure of brag, (oct,oct,oct)-trigonic 0.912871 18, 54, 66, 39, 11
trahex 6D triangle - hexadecachoron duoprism, vertex figure of barz 0.912871 24, 96, 176, 168, 83, 19
trigee 8D triangle - hexacontitetrapeton duoprism, vertex figure of brav 0.912871 36, 216, 672, 1260, 1456, 1008, 387, 67
trizee 9D triangle - hecatonicosoctaexon duoprism, vertex figure of brake 0.912871 42, 294, 1106, 2604, 3976, 3920, 2400, 835, 131
fawdint 5D frustisphenary dispenteractitriacontaditeron, fastegiverted dispenteractitriacontaditeron 0.914214 320, 1440, 1440, 480, 52
gatopin 5D great pteroprismated penteract 0.914214 320, 1440, 1680, 560, 50
gipbin 5D great prismated biprismatopenteract 0.914214 320, 1440, 2880, 1880, 322
quappin 5D quasiprismated penteract 0.914214 320, 1440, 2160, 1240, 202
... 3D hyperbolic x3o4x3o5*a tesselation 0.919229 i
... 4D vertex figure of facetospinopenteractidishexadecateron 0.919866 10, 33, 34, 11
... 4D vertex figure of facetoinverted decahexadecateron 0.919866 10, 45, 45, 10
... 4D vertex figure of great spinocelliprismated penteract 0.920055 7, 18, 19, 8
... 2D hyperbolic ditetragonal tiling of family o3o4o5*a 0.921730 i
... 4D vertex figure of lepidosphenary hexateron 0.921954 8, 18, 17, 7
... 4D vertex figure of retrosphenary cellihexateron 0.921954 8, 28, 38, 18
rappip 5D rectified-pentachoron prism, vertex figure of rojak 0.921954 20, 70, 90, 50, 12
tepacube 5D tepe || cube, bidrap prism, bi-edge-dimin. rappip, wedge-faceted rappip 0.921954 16, 44, 52, 31, 9
traffip 5D traf prism, trip atop inverted tisdip 0.921954 18, 57, 72, 42, 11
trippyp 5D trigonal-prismatic pyramid prism, lacing edge cap of the rectified-pentachoron prism 0.921954 14, 37, 43, 26, 8
... 5D vertex figure of spil 0.924211 12, 39, 52, 33, 10
bril (old: driss, alt.: rixadot) 6D birectified heptapeton, rectified hexateron atop dodecateron, vertex figure of lin, Gosset polytope 03,2 0.925820 35, 210, 350, 245, 84, 14
ladbril 6D heptadiminished birectified heptapeton 0.925820 28, 126, 245, 238, 112, 21
penarappip 6D pen-first cap of birectified heptapeton 0.925820 25, 120, 200, 155, 63, 13
rappaf (alt.: rapalrappip) 6D rectified-pentachoral antifastegium, rectified pentachoron atop inverted rectified-pentachoral prism 0.925820 30, 160, 270, 200, 73, 13
tatraffip 6D triangle atop traffip 0.925820 21, 84, 139, 117, 53, 12
teta troct 6D tetrahedron atop triangle-octahedron duoprism 0.925820 22, 96, 160, 130, 56, 12
tisdip altratet 6D tisdip atop gyrated tratet 0.925820 24, 102, 173, 144, 62, 13
tratet altroct 6D triangle-tetrahedron duoprism atop gyrated triangle-octahedron duoprism, vertex-first medial segment of birectified heptapeton 0.925820 30, 156, 280, 228, 90, 16
tratetpy 6D (triangle,tetrahedron)-duoprism pyramid, vertex-pyramid of bril 0.925820 13, 42, 64, 55, 28, 8
triddippa tridafup 6D triddip atop tridafup, ((3,3)-dip, (3,dual 3)-dip, (dual 3,3)-dip)-trigonic 0.925820 27, 126, 225, 192, 81, 15
birashexah 3D hyperbolic birectified alternated order 4 hexagonal-tiling honeycomb 0.934758 i
... 3D x3v3o, variation of truncated tetrahedron, vertex figure of dattady 0.935414 12, 18, 8
... 3D xo ox&#h, longer variant of digonal antiprism, vertex figure of deca 0.935414 4, 6, 4
... 4D q x3o3o, variation of tetrahedron prism, vertex figure of rectified penteract 0.935414 8, 16, 14, 6
... 4D vertex figure of triacontadipenteract 0.935414 8, 24, 32, 12
squatet 5D square-tetrahedron duoprism, square duofastegium, 2,4-duoprism cupoliprism, vertex figure of brox 0.935414 16, 40, 44, 26, 8
hinnip 6D hemipenteractic prism, vertex figure of ranq 0.935414 32, 176, 400, 400, 172, 28
tetafip 6D prism of tetrahedral antifastegium, tetaf prism, tepe atop inverted squatet, half of hinnip 0.935414 24, 104, 202, 196, 93, 19
tetoct 6D tetrahedron-octahedron duoprism, vertex figure of sez 0.935414 24, 84, 128, 106, 50, 12
hesa (old: hiss) 7D hemihepteract, vertex figure of bay, Gosset polytope 14,1 0.935414 64, 672, 2240, 2800, 1624, 532, 78
hexal trahex 7D hex atop gyrated trahex, hex-first cap of hesa 0.935414 32, 216, 592, 768, 516, 182, 28
hinaf, hin || alt. hinnip 7D hemipenteractic alterfastegium, hin atop alternate hinnip, hin-first rotunda of hesa 0.935414 48, 416, 1280, 1640, 998, 313, 45
hopabril 7D heptapeton atop birectified heptapeton, hop-first monostratic cap of hesa 0.935414 42, 336, 910, 1085, 665, 231, 37
penpasc 7D pentachoron-prismatic scalene, pentachoron-prism-pyramid pyramid, line atop fully orthogonal pentachoron prism 0.935414 12, 46, 90, 105, 77, 35, 9
rilalbril 7D rectified heptapeton atop inverted birectified heptapeton, equatorial monostratic segment of demihepteract 0.935414 56, 525, 1575, 1925, 1127, 357, 51
rilpy 7D rectified-heptapetonal pyramid, vertex pyramid of demihepteract 0.935414 22, 126, 280, 315, 203, 77, 15
tetal tetdip 7D tet atop dual tetdip 0.935414 20, 102, 240, 305, 224, 94, 19
tethex 7D tetrahedron - hexadecachoron duoprism, vertex figure of tark 0.935414 32, 144, 304, 360, 252, 102, 20
trahex dafup 7D triangular-hexadecachoral duoantifastegiaprism, trahex atop dual-gyrated trahex 0.935414 48, 384, 1120, 1472, 934, 276, 32
tridafupap 7D trigonal-duoantifastegiaprismatic alterprism, trigonal-duoantifastegiaprism atop lacing-ortho trigonal-duoantifastegiaprism 0.935414 36, 216, 492, 552, 328, 102, 16
tettac 8D tetrahedron-triacontiditeron duoprism, vertex figure of tarv 0.935414 40, 220, 600, 970, 968, 596, 214, 36
tragocco 5D triangle - great-cubicuboctahedron duoprism 0.936070 72, 216, 228, 111, 23
quapox 6D quasiprismated hexeract 0.937379 1280, 7680, 14400, 11200, 3708, 508
cytacoh 3D hyperbolic o3x4x3o4*a tesselation, cyclotruncated cubic-octahedral honeycomb 0.944355 i
... 3D vertex figure of thex 0.948683 5, 8, 5
... 5D q x3o3o3o, variation of pentachoron prism, vertex figure of rectified hexeract 0.948683 10, 25, 30, 20, 7
squapen 6D square-pentachoron duoprism, vertex figure of bersa 0.948683 20, 60, 85, 70, 34, 9
octpen 7D octahedron - pentachoron duoprism, vertex figure of tro 0.948683 30, 120, 220, 235, 156, 62, 13
... 3D 2gad (?) 0.951057
... 3D 2gad+ike (?) 0.951057
... 3D 2ike (?) 0.951057
... 3D 2ike+4gad (?) 0.951057
... 3D 2ike+gad (?) 0.951057
... 3D blend of 2 pentagonal antiprisms, pair of pentagonal butterfly wedges 0.951057 12, 26, 16
... 3D 3ike+3gad (?), 3cid (?) 0.951057
... 3D 3ike+gad (?) 0.951057
... 3D 4ike+2gad (?) 0.951057
... 3D 4ike+gad (?) 0.951057
... 3D 5ike+gad (?) 0.951057
bitdi 3D chiral Weimholt hexahedron, bitrigonally diminished icosahedron, vertex figure of bidex 0.951057 6, 10, 6
cid 3D small complex icosidodecahedron, (as type C:) complex polyhedron x2-3-o2-5-o2 0.951057
gad 3D great dodecahedron, faceted icosahedron, vertex figure of fix 0.951057 12, 30, 12
gadsid 3D great disnub dodecahedron, compound of 12 pap 0.951057
gassid 3D great snub dodecahedron, compound of 6 pap 0.951057
ifbah, ike-6-2 3D 2-fold faceted icosahedron ike-6-2, pentagonal butterfly wedge, blend of 2 pentagonal pyramids, half of blend of 2 pentagonal antiprisms 0.951057 8, 14, 8
ike   (alt.: snit) 3D icosahedron, snub tetrahedron, snub tetratetrahedron, snub triangle antiprism, hydrohedron, gyroelongated pentagonal bipyramid, vertex figure of ex 0.951057 12, 30, 20
... 3D ike+3gad (?) 0.951057
mibdi, J62 3D metabidiminished icosahedron 0.951057 10, 20, 12
pap 3D pentagonal antiprism, para-bidiminished icosahedron 0.951057 10, 20, 12
... 3D vertex figure of pental disnubbachoron, biform twirled compound of 2 vertex-first icosahedra 0.951057
peppy, 5pyr, J2 3D pentagonal pyramid 0.951057 6, 10, 6
presipsi 3D pseudoretrosnub pentagonal snub (pseudo)icosiicosahedron, compound of 5 gad 0.951057
presipsido 3D pseudoretrosnub pentagonal snub (pseudo)disoctahedron, compound of 2 gad 0.951057
scuffi, ike-7-3 3D semicupolaically faceted icosahedron 0.951057 9, 18, 10
siddo 3D snub disoctahedron, octahedral compound of 2 ike, vertex figure of sody 0.951057
sne 3D snub icosiicosahedron, compound of 5 ike 0.951057
teddi, J63 3D tridiminished icosahedron, ursahedron, vertex figure of sadi 0.951057 9, 15, 8
toif 3D toroidal icosahedron faceting, edge faceting ike-6-6-a 0.951057 12, 24, 12
ditdidap 4D ditrigonary-dodecadodecahedron antiprism 0.951057 40, 180, 168, 26
gidtidap 4D great-ditrigonary-icosidodecahedron antiprism 0.951057 40, 180, 184, 54
sidtidap 4D small-ditrigonary-icosidodecahedron antiprism 0.951057 40, 180, 184, 54
gadtaxadiap 5D grand ditetrahedronary hexacosadishecatonicosachoron atop alternate grand ditetrahedronary hexacosadishecatonicosachoron, grand ditetrahedronary hexacosadishecatonicosachoron alterprism 0.951057 1200, 9600, 14880, 7920, 1442
gadtaxhiap 5D grand ditetrahedrary hexacontahecatonicosachoron antiprism 0.951057 1200, 9600, 13440, 6960, 1322
... 4D vertex figure of spikifacetospinodishexadecateron 0.951190 9, 24, 24, 9
... 4D longer antiduowedge, vertex figure of cellirhombated dodecateron 0.953463 8, 18, 17, 7
quit gashi 4D quasitruncated grand stellated hecatonicosachoron 0.953850 1440, 4320, 2160, 240
quit gishi 4D quasitruncated great stellated hecatonicosachoron 0.953850 1440, 4320, 3120, 240
... 2D hyperbolic dipentagonal tiling of family o3o4o5*a 0.956676 i
... 3D x q3o, variation of triangular prism, vertex figure of rectified icositetrachoron 0.957427 6, 9, 5
... 4D vertex figure of hexadecasphenohexadecateron 0.957427 10, 21, 18, 7
tratrip (old: triddippip) 5D triangle triangular-prism duoprism, triangle-triangle duoprismatic prism, vertex figure of ram 0.957427 18, 45, 48, 27, 8
rixip 6D rectified-hexateron prism, vertex figure of rolaq 0.957427 30, 135, 220, 170, 69, 14
tepepyp 6D tetrahedral-prismatic pyramid prism, prism of tepepy 0.957427 18, 57, 84, 70, 34, 9
jakip 7D icosihepta-heptacontidi-peton prism, vertex figure of riffy 0.957427 54, 459, 1656, 2880, 2376, 846, 101
squahix 7D square - hexateron duoprism, hixip prism, vertex figure of bro 0.957427 24, 84, 146, 155, 104, 43, 10
tetgocco 6D (tet,gocco)-duoprism 0.958067 96, 336, 464, 340, 134, 24
squappip, K-4.19 4D square-antiprism prism 0.962692 16, 40, 36, 12
squahop 8D square - heptapenton duoprism, vertex figure of barn 0.963624 28, 112, 231, 301, 259, 147, 53, 11
... 3D f v5o, variation of pentagonal prism, vertex figure of righi 0.964832 10, 15, 7
... 3D f x5/2o, variation of 5/2-prism, vertex figure of raghi 0.964832 10, 15, 7
giku 4D gike-based ursachoron 0.965407 54, 162, 144, 34
titraf 6D triangle-traf duoprism 0.966092 27, 99, 153, 123, 54, 12
trarap 6D triangle - rectified-pentachoron duoprism, vertex figure of branq 0.966092 30, 120, 190, 150, 63, 13
broc (old: droc) 7D birectified octaexon, duorectified octaexon, vertex figure of bif, Gosset polytope 04,2 0.968246 56, 420, 840, 770, 392, 112, 15
rapaltrarap 7D rectified-pentachoron atop alternate (triangle, rectified pentachoron)-duoprism 0.968246 40, 240, 490, 490, 274, 86, 14
tetocta 7D tetrahedron-octahedron-duoprismatic alterprism, tet-first medial segment of broc 0.968246 48, 312, 688, 728, 412, 124, 18
squoc 9D square - octaexon duoprism, vertex figure of brade 0.968246 32, 144, 344, 532, 560, 406, 200, 64, 12
goccopen 7D (gocco,pen)-duoprism 0.971027 120, 480, 820, 805, 474, 158, 25
... 3D v3x3o, variation of truncated tetrahedron, vertex figure of sidtaxhi 0.975835 12, 18, 8
srotezt 2D hyperbolic (small) rhombitetraapeirogonal tiling, hyperbolic rhombisquareapeirogonal tiling 0.978318 i
tratepe 6D triangle-tetrahedron-duoprism prism, vertex figure of lanq 0.978945 24, 72, 98, 76, 35, 9
trahin 7D triangle - hemipenteract duoprism, vertex figure of borfy 0.978945 48, 288, 736, 920, 598, 201, 29
... 3D qo3oo&#h, taller variant of trigonal pyramid, vertex figure of tico 0.981981 4, 6, 4
rillip 7D rectified-heptapeton prism, vertex figure of robay 0.981981 42, 231, 455, 455, 266, 91, 16
... 3D v f3o, variation of triangular prism, vertex figure of rasishi 0.983956 6, 9, 5
... 3D 2pip (?), decagonal prism with winding number 2 0.986715
... 3D triform blend of 6 pentagonal prisms 0.986715 40, 70, 32
dird 3D dirhimbidodecahedron, compound of 12 pip 0.986715
... 3D β2β5o, (mere) alternated pip 0.986715 10, 20, 12
kred (old: red) 3D chiro-rhombidodecahedron, compound of 6 pip 0.986715
pip 3D pentagonal prism, 5-p, vertex figure of rox 0.986715 10, 15, 7
tupip 3D orthogonal blend of pentagonal prisms, vertex figure of sadsadox 0.986715 16, 26, 12
... 3D x f5/2o, variation of 5/2-prism, vertex figure of rofix 0.986715 10, 15, 7
quercoa quithu 4D (querco,quith)-based ursachoron 0.986869 72, 180, 142, 34
tetrap 7D tetrahedron - rectified-pentachoron duoprism, vertex figure of torfy 0.987421 40, 180, 340, 350, 214, 76, 14
tetsrip 7D tetrahedron - small-rhombated-pentachoron duoprism 0.987421 120, 540, 980, 950, 534, 166, 24
quit sissiddip 4D quasitruncated-small-stellated-dodecahedron prism, small-stellated-truncated-dodecahedron prism 0.988665 120, 240, 138, 26
... 3D xo ox&#k, longer variant of digonal antiprism, vertex figure of cont 0.989219 4, 6, 4
trippen 7D triangle - pentachoron duoprism-prism, vertex figure of buffy 0.991632 30, 105, 175, 175, 111, 44, 10
... 3D f x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron 0.993902 6, 9, 5
... 3D complex polyhedron x2-4-o3-3-o3 1 54, 216, 72
... 3D 2cho (?) 1
... 3D 2co (?) 1
... 3D 2co+16{3} (?) 1
... 3D 2did (?) 1
... 3D 2gidhei (?) 1
... 3D 2sidhei (?) 1
... 3D complex polyhedron x3-3-o3-4-o2 1 72, 216, 54
... 3D Shephard's 3-generalised cube, complex polyhedron x3-4-o2-3-o2 , γ3 3 1 27, 27, 9
arie 3D antirhombicosicosahedron, compound of 5 co 1
cho 3D cubohemioctahedron, rhomballelohedron 1 12, 24, 10
... 3D cho+4{6/2} (?) 1
co   (alt.: ratet – old: ratit, rotet) 3D cuboctahedron, (small) rhombitetratetrahedron, rectified cube, rectified octahedron, cantellated tetrahedron, expanded tetrahedron, trigonal gyrobicupola, vertex figure of octet, lattice A3 contact polytope (span of its roots), lattice B3 contact polytope (span of its small roots), equatorial cross-section of tet-first spid, equatorial cross-section of oct-first ico 1 12, 24, 14
did 3D dodecadodecahedron, great dodecadodecahedron 1 30, 60, 24
... 3D did+sidhei+gidhei (?) 1
ebot 3D elongated bowtie tegum 1 10, 16, 8
gari 3D great antirhombicosahedron, compound of 5 cho 1
gidhei 3D great dodecahemicosahedron, small dodecahemiicosahedron (but not sidhei) 1 30, 60, 22
iddei 3D icosidisicosahedron, compound of 5 oho 1
... 3D o3β4o (?) 1 12, 36, 20
... 3D o5/2β5o (?) 1 30, 120, 54
oho 3D octahemioctahedron, facetorectified cube, allelotetratetrahedron 1 12, 24, 12
... 3D oho+8{3} 1
... 3D q x4o, variation of cube, vertex figure of rectified cubic honeycomb 1 8, 12, 6
... 3D qo oq&#h, longer variant of digonal antiprism, vertex figure of batch 1 4, 6, 4
sidhei 3D small dodecahemicosahedron, great dodecahemiicosahedron (but not gidhei) 1 30, 60, 22
tobcu, J27 3D triangular orthobicupola, vertex figure of gytoh 1 12, 24, 14
tricu, J3 3D triangular cupola, half of cuboctahedron 1 9, 15, 8
... 3D xo3ox&#h, longer variant of trigonal antiprism, cyclo-hexadiminished co, vertex figure of batatoh 1 6, 12, 8
... 4D 2gaghi (?) 1
... 4D 2gaghi+2paphacki (?) 1
... 4D 2gifdahihox (?) 1
... 4D 2huhoh+3tes+8co (?) 1
... 4D 2ico (?) 1
... 4D 2ico+2gico (?) 1
... 4D 2ico+48{4}+128{3} (?) 1
... 4D 2oh (?) 1
... 4D 2ratho (?) 1
... 4D 2sifdahihox (?) 1
... 4D 2sishi (?) 1
... 4D 2sishi+2paphicki (?) 1
... 4D 2tes (?) 1
... 4D Witting polychoron, complex polychoron x3-3-o3-3-o3-3-o3 1 240, 2160, 2160, 240
... 4D 4D corner hypercubera 1 12, 31, 31, 12
... 4D 6sishi (?) 1
... 4D 6tes (?) 1
bidoctaco, {4} || co, K-4.28 4D square atop cuboctahedron, bidiminished octaco, square first rotunda of cytau tes 1 16, 44, 43, 15
bitapna 4D bitrigonal antiprismattic enenehexachoron, compound of 8 ico in rico army, compound of 2 kitapna 1
bitefa 4D bitegmic hecatontetracontatetrachoron, compound of 12 ico in spic army, compound of 2 kitefa 1
chi 4D chirohecatonicosachoron, chiral compound of 5 ico 1
cubaike, cube || ike, K-4.21 4D cube atop icosahedron 1 20, 66, 74, 28
cubpy, K-4.26 4D cubical pyramid, vertex-pyramid of ico 1 9, 20, 18, 7
cytau tes 4D cyclotetraaugmented tesseract, cyclotetradiminished icositetrachoron 1 20, 64, 68, 24
didhi 4D dodecahedronary dishecatonicosachoron 1 120, 1200, 3120, 240
disdi 4D disnub disicositetrachoron 1 96, 816, 1248, 240
ditdiddip 4D ditrigonal-dodecadodecahedron prism 1 40, 140, 108, 26
ditdidpy 4D ditdid pyramid, vertex pyramid of dittady 1 21, 80, 84, 25
dittady 4D ditrigonary dishecatonicosachoron 1 120, 1200, 2400, 240
... 4D dittady+dox (?) 1
dod honho 4D disoctidishemioctintercepted hemioctachoron 1 24, 96, 128, 28
doh honho 4D disoctihemihexadekintercepted hemioctachoron 1 24, 96, 136, 28
dopix 4D dodecahedronary prismatohexacosachoron, compound of 60 spid 1
dox (old: gex) 4D dodecahedronary hexacosachoron (great hexacosachoron), compound of 25 ico 1
duhd 4D decahemidecachoron, copyropodichoron 1 20, 60, 50, 15
ecubedpy 4D elongated cubical bipyramid, hexadiminished icositetrachoron 1 18, 48, 48, 18
ecubpy 4D elongated cubical pyramid, heptadiminished icositetrachoron 1 17, 40, 36, 13
gadixhix (old: gixhix) 4D great dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not sadixhix) 1
... 4D gaghi+didhi (?) 1
... 4D gaghi+idhi (?) 1
... 4D gaghi+paphacki+sridaphi (?) 1
... 4D gaghi+sridixhi (?) 1
gaghi, gapD 4D great grand hecatonicosachoron, greatened aggrandized polydodecahedron 1 120, 1200, 720, 120
getut 4D great tristetracosioctacontachoron 1 120, 1200, 3840, 1440
ghahoh 4D great hexadecahemihexadecachoron 1 24, 96, 112, 24
gico 4D great icositetrachoron, stella prismata, compound of 3 tes 1
... 4D gico+8co+16 2thah (?) 1
gidtiddip 4D great-ditrigonary-icosidodecahedron prism 1 40, 140, 124, 34
gidtidpy 4D gidtid pyramid, vertex pyramid of gidtixhi 1 21, 80, 92, 33
gidtixhi 4D great ditrigonary hexacosihecatonicosachoron 1 120, 1200, 2400, 720
... 4D gidtixhi+dox (?) 1
gifdahihox 4D great fissary dodecahedronary hecatonicosihemihexacosachoron 1 120, 1200, 3000, 420
gikaike 4D great icosahedron atop icosahedron 1 24, 120, 160, 52
gistic 4D great stellated icositetrachoron, compound of 6 tes, compound of 2 gico 1
gitpodady 4D great (intersected) tripesic dodecahedronary dishecatonicosachoron 1 120, 3600, 3120, 240
gocap 4D great cycloantiprism 1 50, 200, 260, 110
gridaphi 4D great retroinverted dodecahedronary prismatohecatonicosachoron 1 120, 1200, 4200, 1320
gridixhi 4D great retroinverted dodecahedronary hexacosahecatonicosachoron 1 120, 1200, 3120, 720
gudap (old: gedap) 4D great duoantiprism, (old: great double antiprism – but not: great antiprism) 1 50, 200, 220, 70
gyspid (alt: tetacobcu) 4D gyrated small prismatodecachoron, orthobicupola of runcinated pentachoron, tetaco orthobicupola 1 20, 60, 70, 30
hocoaso 4D hollow cuboctahedron atop stella octangula, tetrahedral cupolaic blend 1 20, 60, 64, 23
hoctaoho 4D hollow 2oct atop oho 1 18, 60, 52, 13
hocubasiddo 4D hollow cube atop snub disoctahedron, icosahedral cupolaic blend 1
hodho 4D hexadecoctidishemioctachoron 1 24, 96, 136, 32
hoh honho 4D hexadecoctihemihexadekintercepted hemioctachoron 1 24, 96, 152, 36
hohoh 4D hexadecoctihemihexadecachoron 1 24, 96, 128, 32
hotet aoho 4D hollow 2tet atop oho 1 16, 42, 40, 13
hothahacho 4D hollow tetrahemihexahedron atop cubohemioctahedron 1 18, 60, 53, 15
huhoh 4D hexadecahemihexadecachoron 1 24, 96, 96, 24
ico (alt.: jot) 4D icositetrachoron, 24-cell, xylochoron, octaplex, rectified hexadecachoron, birectified tesseract, hyperdiamond, joined tesseract, trisoctachoron, vertex figure of hext, Voronoi cell of lattice F4, Voronoi cell of lattice D4*, surtegmated tesseract, Gosset polytope 01,1,1, lattice B4 contact polytope (span of its small roots), lattice D4 contact polytope (span of its roots), lattice F4 contact polytope (span of its small roots), equatorial cross-section of hex-first rat 1 24, 96, 96, 24
... 4D ico+gico+72{4} (?) 1
... 4D ico+gico+24co (?) 1
idhi 4D invertidodecahedronary hecatonicosachoron 1 120, 1200, 1440, 120
ihi 4D icositetrahemiicositetrachoron 1 24, 96, 168, 36
kitapna 4D chirotrigonal antiprismattic enenahexachoron, chiral compound of 4 ico in rico army 1
kitefa 4D chirotegmic hecatontetracontatetrachoron, chiral compound of 6 ico in spic army 1
mesdi 4D medial snub disicositetrachoron 1 96, 720, 864, 144
nipdip 4D spinoprismatodispentachoron 1 20, 60, 60, 20
octacho 4D octahedron atop cubohemioctahedron 1 18, 60, 54, 16
octaco, K-4.29 4D octahedron atop cuboctahedron, half of icositetrachoron (its oct-first rotunda), rectified octahedron-pyramid 1 18, 60, 58, 16
octatricu, oct || tricu, K-4.30 4D octahedron atop trigonal cupola, 2/6-luna of icositetrachoron 1 15, 45, 43, 13
odho 4D octidishemioctachoron 1 24, 96, 72, 16
ofiddady 4D omnifacetododecahedronary dishecatonicosachoron 1 120, 1200, 3120, 240
oh 4D octahemihexadecachoron 1 24, 96, 80, 16
ohuhoh 4D octihexadecahemihexadecachoron 1 24, 96, 144, 32
pabdico 4D parabidiminished icositetrachoron, hexa-augmented tesseract 1 22, 80, 84, 26
paf, K-4.22 4D pentagonal antifastegium, pentagon - pap wedge, {5} || gyro pip 1 15, 40, 38, 13
paphacki 4D pentagon-prismatic heptacosicosachoron, great prismasaurus (also: great prismosaurus) 1 120, 1200, 2520, 720
paphicki 4D pentagram-prismatic heptacosicosachoron, small prismasaurus (also: small prismosaurus) 1 120, 1200, 2520, 720
phud 4D prismatohemidecachoron 1 20, 60, 60, 25
piphid 4D prismatopentahemidecachoron, copyrofacetoretropodichoron 1 20, 60, 70, 20
... 4D piphid+10tet (?) 1
pta cubaike 4D cube-augmented cubaike 1 21, 74, 86, 33
... 4D qo3oo3oo&#x, shallower variant of tetrahedral pyramid, vertex pyramid of tes 1 5, 10, 10, 5
... 4D qo3oq3oo&#x, shallower variant of rap, segment of tes 1 10, 30, 30, 10
rappisdi 4D retroantiprismatosnub disicositetrachoron 1 96, 720, 864, 144
... 4D rappisdi+mesdi+288{4} (?) 1
ratho 4D rectified tesseractihemioctachoron 1 24, 96, 88, 20
... 4D cuboctahedral retro-cuploid 1 18, 60, 53, 15
sadixhix (old: sixhix) 4D small dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not gadixhix) 1
setut 4D small tristetracosioctacontachoron 1 120, 1200, 3840, 1440
shahoh 4D small hexadecahemihexadecachoron 1 24, 96, 112, 24
sidtiddip 4D small-ditrigonary-icosidodecahedron prism 1 40, 140, 124, 34
sidtidpy 4D sidtid pyramid, vertex pyramid of sidtixhi 1 21, 80, 92, 33
sidtixhi 4D small ditrigonary hexacosihecatonicosachoron 1 120, 1200, 2400, 720
... 4D sidtixhi+dox (?) 1
sifdahihox 4D small fissary dodecahedronary hecatonicosihemihexacosachoron 1 120, 1200, 3000, 420
... 4D sishi+gaghi+120did (?) 1
... 4D sishi+gaghi+idhi (?) 1
... 4D sishi+gridixhi (?) 1
... 4D sishi+idhi (?) 1
... 4D sishi+ofiddady (?) 1
... 4D sishi+paphicki+gridaphi (?) 1
sishi, spD 4D small stellated hecatonicosachoron, stellated polydodecahedron 1 120, 1200, 720, 120
sissidagad, sissid || gad 4D small stellated decahedron atop great dodecahedron, sissid antiprism, gad antiprism 1 24, 120, 144, 56
sitpodady 4D small (intersected) tripesic dodecahedronary dishecatonicosachoron 1 120, 3600, 3120, 240
socdip 4D stellated-octagonal duoprism, compound of 4 tes in odip army 1
spid 4D small prismatodecachoron, runcinated pentachoron, expanded pentachoron, pyroperichoron, tetaco gyrobicupola, vertex figure of cypit, lattice A4 contact polytope (span of its roots), equatorial cross-section of pen-first scad, equatorial cross-section of rap-first rat 1 20, 60, 70, 30
spidy 4D swirlprismattic dishecatonicosachoron, compound of 24 starpedip 1
squippiaco, K-4.31 4D square-pyramid atop cuboctahedron 1 17, 52, 51, 16
squippiatricu, K-4.32 4D square-pyramid atop triangular-cupola 1 14, 37, 35, 12
sridaphi 4D small retroinverted dodecahedronary prismatohecatonicosachoron 1 120, 1200, 4200, 1320
sridixhi 4D small retroinverted dodecahedronary hexacosahecatonicosachoron 1 120, 1200, 3120, 720
starpedip (old: stipdip, starpendip) 4D pentagram-pentagon duoprism, stellar (pentagonal) pentagonal diprism 1 25, 50, 35, 10
stoc 4D stellated tetracontoctachoron, compound of 2 ico 1
tes (alt.: squadip), K-4.20 4D tesseract, octachoron, "hypercube", 4D measure-polytope (γ4), 8-cell, geoter(id), square duoprism, vertex figure of icot 1 16, 32, 24, 8
tetacho 4D tetrahedron atop cubohemioctahedron 1 16, 42, 38, 12
tetaco, tet || co, K-4.23 4D tetrahedron atop cuboctahedron, tetrahedral rotunda of small prismatodecachoron 1 16, 42, 42, 16
tetacoaoct 4D octahedron atop (pseudo) cuboctahedron atop tetrahedron 1 22, 78, 86, 30
tetatricu, tet || tricu, K-4.24 4D tetrahedron atop trigonal cupola, 0.290215-luna of small prismatodecachoron 1 13, 30, 27, 10
tetu 4D axially-tetrahedral ursachoron ofx3xoo3ooo&#xt, tet-based ursulate, vertex figure of sadit 1 14, 34, 30, 10
tidtes 4D tetra-diminished tesseract 1 12, 36, 36, 12
tocap 4D toroidal cycloantiprism 1 50, 200, 260, 110
tracufbil 4D triangular-cupofastegia biluna, {3} || tricu || {3}, 0.419569-luna of gyspid 1 15, 39, 40, 16
trateddi, {3} || teddi, K-4.33 4D {3} atop teddi, teddi based wedge 1 12, 33, 33, 12
traw, K-4.27 4D trigonal antitriwedge, hexagon - octahedral wedge, triangular gyrobicupolaic ring, {6} || oct, {3} || gyrated tricu, 1/6-luna of ico 1 12, 30, 27, 9
tricuf, K-4.25 4D trigonal cupofastegium, hexagon - triangle-prismatic wedge, triangle orthobicupolaic ring, {6} || trip, {3} || tricu, 0.209785-luna of small prismatodecachoron 1 12, 27, 24, 9
tridico (alt.: cytid ico) 4D (cyclo)tridiminished ico 1 21, 72, 78, 27
trisqdip 4D trisquare duoprism, compound of 9 tes in twaddip army 1
... 4D trigonal mibdi-laced wedge 1 17, 52, 52, 17
... 4D cyclo-hexagonally diminished ico, tegum sum of 2 bi-dual (x,q)-triddips 1 18, 72, 84, 30
... 5D 2rhohid (?) 1
bacox 5D biprismatocellihexateron 1 30, 120, 210, 165, 41
chad 5D cellihemidodecateron 1 30, 120, 210, 180, 36
cubasquasc 5D cube atop squasc 1 14, 41, 51, 31, 9
dacox 5D dodecacellihexateron 1 30, 120, 210, 135, 33
dehad 5D dodecahemidodecateron 1 30, 120, 140, 75, 18
dibhid 5D dodecabiprismatohemidodecateron 1 30, 120, 210, 180, 38
hexaco 5D hexadecachoron atop cuboctahedron, 0.147584-luna of rectified triacontiditeron 1 20, 72, 106, 68, 17
hexaico, hex || ico 5D hexadecachoron-first rotunda of rectified triacontiditeron, hexadecachoron atop icositetrachoron, rectified hexadecachoron-pyramid 1 32, 168, 248, 136, 26
octpy || octaco 5D 1/4-lune of rectified triacontiditeron, octahedron-pyramid atop octhedron-first-rotunda-of-icositetrachoron 1 25, 114, 156, 83, 18
opeaco 5D octahedron-prism atop cuboctahedron, diminished 1/4-lune of rat 1 24, 102, 138, 75, 17
opeah 5D ope atop hexagon, (trip,gyro trip,hexagon)-trigonic 1 18, 60, 77, 44, 11
opepy 5D octahedral-prismatic pyramid, vertex pyramid of rectified triacontiditeron 1 13, 42, 58, 38, 11
penaspid 5D pentachoron atop small prismated decachoron, pen-first rotunda of scad 1 25, 90, 140, 105, 32
penatrip 5D pentachoron atop trigonal prism, (edge,perp triangle,trip)-trigonic 1 11, 31, 39, 25, 8
pexhix (alt.: triddipah, tripotricudaw) 5D partially expanded hexateron, triangle-triangle duoprism atop hexagon, (trip, ortho tricu)-disphenoid 1 15, 42, 52, 33, 10
rapaco (alt.: tetoct cotric) 5D rap atop co, 0.176208-luna of rat, (tet,oct,co)-trigonic 1 22, 90, 128, 75, 17
rapaspid 5D rectified pentachoron atop small prismated decachoron, rap-first half of rat 1 30, 150, 250, 160, 32
rat 5D rectified triacontiditeron, rectified pentacross, vertex figure of hinoh, lattice B5 contact polytope (span of its small roots), lattice D5 contact polytope (span of its roots), equatorial cross-section of tac-first rag, equatorial cross-section of hin-first mo 1 40, 240, 400, 240, 42
ratchet 5D retrotriacontidicellihemitriacontaditeron 1 40, 240, 600, 560, 88
rhohid 5D rectified hexadecahemidecateron 1 40, 240, 400, 200, 31
scad (old: shad) 5D small cellated dodecateron, small hedrated dodecateron, stericated hexateron, expanded hexateron, vertex figure of cyxh, lattice A5 contact polytope (span of its roots), equatorial cross-section of hix-first staf, equatorial cross-section of rix-first rag, equatorial cross-section of vertex-first mo 1 30, 120, 210, 180, 62
squasquippy 5D square-squippy duoprism, squippyp prism 1 20, 52, 57, 32, 9
squippyippy 5D square-pyramidal-prismatic pyramid, half of vertex pyramid of rectified triacontiditeron 1 11, 31, 39, 25, 8
squoct 5D square-octahedron duoprism, vertex figure of brinoh 1 24, 72, 86, 48, 12
tedrat 5D (cyclo-)tetra-diminished rat 1 36, 192, 328, 212, 42
tepaco (alt.: tettet cotric) 5D tepe atop co, 0.217953-luna of scad, (tet,tet,co)-trigonic, partial Stott expansion of hix 1 20, 64, 88, 59, 17
tisdipah 5D tisdip atop hexagon 1 18, 54, 68, 41, 11
traltisdip 5D triangle atop gyrated tisdip 1 15, 51, 68, 41, 11
tripgytricudaw 5D (trip, gyro tricu)-disphenoid 1 15, 48, 61, 36, 10
dotip 6D dodecateron prism 1 40, 200, 330, 240, 84, 14
dotpy 6D dodecateron pyramid, vertex pyramid of mo 1 21, 110, 210, 180, 72, 13
dottascad 6D dodecateron atop small cellated dodecateron 1 50, 390, 1050, 1140, 494, 64
fohaf 6D tetradecahemitetradecapeton 1 42, 210, 315, 245, 105, 21
hexarat 6D hex atop rat, hex-first half of tedrag 1 48, 328, 696, 656, 283, 43
hexipaco 6D hexip atop co 1 28, 128, 246, 229, 102, 19
hexipaico 6D hexip atop ico, diminished 1/4-lune of rag 1 40, 248, 472, 400, 163, 27
hexippy 6D hexip pyramid, vertex pyramid of rag 1 17, 72, 144, 152, 82, 19
hinaco 6D hemipenteract atop cuboctahedron 1 28, 152, 342, 345, 154, 27
hinro (alt.: hinarat) 6D demipenteractic rotunda, hin-first half of mo, hin atop rat 1 56, 480, 1280, 1240, 428, 44
hixascad 6D hexateron atop small cellated decateron, hix-first rotunda of small terated tetradecapeton 1 36, 165, 350, 405, 248, 64
icoahin 6D ico atop hin, 1/6-lune of mo 1 40, 272, 592, 528, 195, 27
mo 6D pentacontitetrapeton, chrysopeton, Gosset polypeton 12,2, vertex figure of jakoh, lattice E6 contact polytope (span of its roots), equatorial cross-section of jak-first laq 1 72, 720, 2160, 2160, 702, 54
octdip 6D octahedron-octahedron duoprism, dual of Delone cell of lattice D6*, vertex figure of traxh 1 36, 144, 240, 204, 88, 16
oddimo (alt.: bittip) 6D octadeca-diminished mo, bitriangular trioprism, triangular trioalterprism 1 54, 378, 864, 864, 396, 72
pabdimo, dot||scad||dot 6D parabidiminished mo, dodecateron atop pseudo small cellated dodecateron atop dodecateron 1 70, 680, 1980, 1980, 666, 56
raddirag 6D rhombidodecahedraly-diminished rectified hexacontatetrapeton 1 48, 312, 758, 906, 532, 120
rag (old: ric) 6D rectified hexacontitetrapeton, lattice B6 contact polytope (span of its small roots), lattice D6 contact polytope (span of its roots), equatorial cross-section of gee-first rez, equatorial cross-section of vertex-first laq 1 60, 480, 1120, 1200, 576, 76
rixascad 6D rectified hexateron atop small cellated dodecateron, half of rectified hexacontitetrapeton (its rix-first rotunda) 1 45, 300, 710, 795, 404, 64
spida rappip 6D spid || rappip, (rap,rap,spid)-trigonic 1 40, 250, 520, 470, 193, 33
spidapenp 6D spid atop penp, wedge of staf 1 30, 125, 240, 250, 138, 33
squahex 6D square-hexadecachoron duoprism, vertex figure of braxh 1 32, 128, 232, 216, 100, 20
staf (interim: stef) 6D small terated tetradecapeton, pentellated heptapeton, expanded heptapeton, lattice A6 contact polytope (span of its roots), equatorial cross-section of hop-first suph, equatorial cross-section of ril-first rez, equatorial cross-section of hop-first laq 1 42, 210, 490, 630, 434, 126
taccarat 6D triacontaditeron atop rectified triacontaditeron, tac-first rotunda of rectified hexacontitetrapeton, rectified triacontaditeron-pyramid 1 50, 360, 760, 720, 314, 44
tedrag 6D (cyclo-)tetra-diminished rag 1 56, 416, 992, 1072, 516, 76
tetaco altepetric 6D (tetaco,tepe)-disphenoid, (tet,co,inv tepe)-trigonic 1 24, 106, 200, 186, 86, 18
tridafupip 6D tridafup prism 1 36, 162, 276, 222, 88, 16
triddipabl tratrip 6D triddip atop bidual tratrip 1 27, 135, 243, 201, 81, 15
triddipasc 6D triangle-duoprismatic scalene, triangle-duoprism-pyramid pyramid, line atop fully orthogonal triangle duoprism 1 11, 37, 60, 54, 28, 8
trittip 6D triangle-triangle-triangle-triprism, vertex figure of ramoh 1 27, 81, 108, 81, 36, 9
xedrag 6D hexeractidiminished rectified hexacontatetrapeton, square cuboctahedroltriate, scaliform dodecadiminished rectified hexacontatetrapeton 1 48, 288, 688, 768, 396, 76
brilastaf 7D bril atop staf, hop-first subsegment of laq 1 77, 840, 3150, 5215, 4088, 1386, 128
garag 7D gee atop rag, gee-first rotunda of rez 1 72, 660, 1820, 2560, 1968, 716, 78
haxarag 7D hemihexeract atop rectified hexacontitetrapeton, vertex-first subsegment of pentacontihexapentacosiheptacontihexaexon 1 96, 1200, 5120, 9200, 7068, 2116, 238
haxpy 7D hemihexeractic pyramid, vertex pyramid of laq 1 33, 272, 880, 1280, 892, 296, 45
he (old: ache) 7D hexadecaexon, trirectified octaexon, equatorial cross-section of (vertex first) 1/q-octo, Gosset polytope 03,3 1 70, 560, 1120, 980, 448, 112, 16
hehah 7D hexadecahemihexadecaexon 1 56, 336, 616, 630, 392, 140, 24
hopalbril 7D hop atop inverted bril, hop-first cap of laq 1 42, 371, 1225, 1890, 1400, 476, 72
hopastaf 7D hop atop staf, half of suph (its hop-first rotunda), partial Stott expansion of oca 1 49, 273, 735, 1155, 1085, 567, 128
ihdlaq 7D icositetra-hexa-diminished pentacontihexapentacosiheptacontihexaexon, hexadecachoral gyro-cuboctahedronism 1 96, 1152, 4632, 7488, 5244, 1416, 86
jakamo 7D jak atop mo, jak-first half of parabidiminished laq 1 99, 1368, 6120, 11160, 8550, 2583, 344
laq 7D pentacontihexapentacosiheptacontihexaexon, argyroexon, Gosset polyexon 21,3, vertex figure of naquoh, lattice E7 contact polytope (span of its roots), equatorial cross-section of vertex-first fy 1 126, 2016, 10080, 20160, 16128, 4788, 632
octhex 7D octahedron - hexadecachoron duoprism, vertex figure of troch 1 48, 240, 544, 680, 478, 172, 24
... 7D oxo3ooo3ooo3xoo3ooo3oxx&#xt 1 84, 903, 3395, 5740, 4739, 1806, 233
rez (old: rhio) 7D rectified hecatonicosoctaexon, lattice B7 contact polytope (span of its small roots), lattice D7 contact polytope (span of its roots), equatorial cross-section of zee-first fy, equatorial cross-section of zee-first rek 1 84, 840, 2520, 3920, 3360, 1344, 142
rilastaf 7D ril atop staf, ril-first rotunda of rez 1 63, 525, 1610, 2590, 2282, 966, 128
rixasc 7D rectified-hexateronal scalene, rectified-hexateronal-pyramid pyramid, line atop fully orthogonal rectified-hexateron 1 17, 91, 215, 265, 182, 70, 14
sadlaq 7D hepteract-diminished pentacontihexapentacosiheptacontihexaexon 1 112, 1568, 6720, 11200, 7924, 2184, 198
suph 7D small petated hexadecaexon, hexicated octaexon, expanded octaexon, lattice A7 contact polytope (span of its roots), equatorial cross-section of oca-first soxeb, equatorial cross-section of roc-first rek 1 56, 336, 980, 1680, 1736, 1008, 254
taccuppy 7D triancontaditeron-prism pyramid, vertex pyramid of rectified hecatonicosoctaexon 1 21, 110, 290, 440, 384, 178, 35
tetdippa octdip 7D tetrahedral-duoprism atop octahedral-duoprism, vertex-first subsegment of the hexadecaexon 1 52, 336, 740, 776, 428, 124, 18
tetdippy 7D tetdip pyramid, vertex pyramid of he 1 17, 64, 116, 124, 84, 36, 9
tettepe 7D tetrahedron-tetrahedron duoprismatic prism, vertex figure of 03,3,1 1 32, 112, 184, 180, 112, 44, 10
thid 7D triaconta-hexa-diminished pentacontihexapentacosiheptacontihexaexon 1 90, 990, 3570, 5520, 3972, 1224, 104
trahex aico 7D trahex atop ico 1 48, 336, 776, 888, 564, 190, 28
trarapdafup 7D (triangle, rectified-pentachoron)-duoantifastegiaprism, pentachoron-first parabidiminished hexadecaexon 1 60, 420, 920, 930, 486, 132, 18
trarix 7D triangle-rix duoprism 1 45, 225, 435, 435, 251, 84, 15
trial trahex 7D triangle atop inverted trahex 1 27, 147, 369, 512, 395, 153, 23
brene 8D birectified enneazetton, Gosset polytope 05,2 1 84, 756, 1764, 2016, 1386, 588, 144, 18
broca (old: brocalbroc) 8D broc alterprism, broc atop inverted broc, central segment of hocto 1 112, 1400, 5040, 7420, 5684, 2632, 704, 88
codify (alt.: hexgyi, trihexdip) 8D tetracontaocta-diminished dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, hexadacachoron gyro-icositetrachoronism, tegum sum of 3 pairwise bigyrated hexadecachoron duoprisms, tri-hexadecachoron-duoprism 1 192, 4224, 29184, 86784, 124464, 84672, 23808, 1968
fib 8D dischiliahectohexaconta-diacositetraconta-zetton 1 240, 6720, 60480, 241920, 483840, 483840, 222480, 2400
fy 8D dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, siderozetton, Gosset polyzetton 41,2, Witting polytope, vertex figure of goh, lattice E8 contact polytope (span of its roots) 1 240, 6720, 60480, 241920, 483840, 483840, 207360, 19440
hexal hesa 8D hex atop alternated hesa, hex-first cap of codify 1 72, 952, 4576, 10112, 11481, 6748, 1834, 151
hexdip 8D hexadecachoron duoprism 1 64, 384, 1088, 1792, 1808, 1072, 320, 32
hocto (alt.: gecdify) 8D hemiocteract, 64(=g)+48(=c)-diminished fy, Gosset polytope 15,1 1 128, 1792, 7168, 10752, 8288, 4032, 1136, 144
idirek 8D icositetra-diminished rectified diacosipentacontahexazetton 1 88, 864, 3296, 6992, 8840, 6424, 2336, 280
jakaf (old: jakaljakip) 8D icosiheptaheptacontidipeton alterfastegium, icosiheptaheptacontidipeton atop inverted icosiheptaheptacontidipeton-prism 1 81, 1215, 6966, 19080, 26784, 18801, 5826, 561
jakap 8D jaka prism, jakip alterprism 1 108, 1458, 7902, 20880, 28512, 19548, 5926, 562
jakapy (alt.: pabdinaqpy) 8D icosiheptaheptacontidipetic-alterprism pyramid, parabidimished-hecatonicosihexapentacosiheptacontihexaexon pyramid, (jak, alt. jak, point)-trigonic 1 55, 756, 4302, 12240, 18576, 14742, 5366, 561
kadify (or: brena) 8D heptacontadia-diminished dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, tegum sum of two mutually inverted birectified enneazetta, bidiambooctadecazetton 1 168, 3192, 18648, 46872, 57960, 38052, 13320, 1980
naqalaq 8D naq atop laq, second stratos of vertex-first fy, E7 1/2 polytope 1 182, 4284, 33768, 120960, 219744, 202356, 81470, 7564
naqpe 8D naq prism, prism of Gosset polyexon 32,1 , vertex figure of rigoh 1 112, 1568, 8820, 24192, 34272, 24192, 7452, 704
naqpy 8D hecatonicosihexapentacosiheptacontihexaexon pyramid, vertex-first cap of fy 1 57, 812, 4788, 14112, 22176, 18144, 6750, 703
ocalroc 8D oca atop inverted roc, oca-first cap of fy 1 36, 364, 1652, 4060, 5740, 4564, 1788, 228
octa tethex 8D oct atop tethex 1 38, 252, 744, 1241, 1220, 682, 198, 25
penrap 8D (pentachoron, rectified pentachoron)-duoprism, vertex figure of tergoh 1 50, 250, 550, 700, 565, 290, 90, 15
rapepe 8D rap peppene 1 14, 76, 214, 351, 351, 214, 76, 14
rek 8D rectified diacosipentacontahexazetton, lattice B8 contact polytope (span of its small roots), lattice D8 contact polytope (span of its roots), equatorial cross-section of ek-first riv 1 112, 1344, 4928, 10080, 12544, 8960, 3072, 272
rocalbroc 8D roc atop inverted broc, oca-first subsegment of fy 1 84, 1148, 5376, 11200, 11256, 5656, 1432, 144
rocasuph 8D roc atop suph 1 84, 840, 3164, 6650, 8400, 6132, 2230, 256
rocip 8D rectified-octaexon prism, vertex figure of robyah 1 56, 364, 840, 1036, 798, 392, 116, 18
rocpy 8D rectified-octaexonal pyramid, vertex pyramid of demiocteract 1 29, 196, 504, 686, 574, 308, 100, 17
soxeb 8D small exiated bi-enneazetton, heptellated enneazetton, expanded enneazetton, lattice A8 contact polytope (span of its roots), equatorial cross-section of rene-first riv 1 72, 504, 1764, 3780, 5208, 4536, 2286, 510
tethex aico 8D tethex atop ico 1 56, 432, 1168, 1680, 1453, 754, 218, 29
tethin 8D tetrahedron - hemipenteract duoprism, vertex figure of trigoh 1 64, 416, 1184, 1776, 1544, 800, 230, 30
tijakdap 8D triangle-jak duoalterprism 1 162, 3078, 20250, 59022, 83808, 56322, 15738, 1536
trajak 8D triangle - icosiheptaheptacontidipeton duoprism, vertex figure of bargoh 1 81, 729, 2835, 5616, 5904, 3321, 948, 102
triphix 8D triangle - hexateron duoprismatic prism, vertex figure of ribfoh 1 36, 144, 285, 351, 286, 155, 54, 11
yab 8D myriaheptachiliadiacosioctaconta-diacositetraconta-zetton 1 240, 6720, 60480, 241920, 483840, 483840, 153360, 17520
zahesa 8D zee || hesa 1 78, 1204, 7224, 21280, 33656, 28252, 10846, 1068
zarez 8D zee atop rez, rectified diacosipentacontahexazetton half 1 98, 1092, 3724, 7000, 7952, 5152, 1614, 144
riv 9D rectified pentacosidodecayotton, lattice B9 contact polytope (span of its small roots), lattice D9 contact polytope (span of its roots), equatorial cross-section of vee-first rake 1 144, 2016, 8736, 22176, 36288, 37632, 23040, 6912, 530
rake 10D rectified chilliaicositetraxennon, lattice B10 contact polytope (span of its small roots), lattice D10 contact polytope (span of its roots) 1 180, 2880, 14400, 43680, 88704, 120960, 107520, 57600, 15360, 1044
tazt 2D hyperbolic trigonal-horocyclic tiling, hyperbolic triapeirogonal tiling 1 i
tehat 2D hyperbolic tetrahexagonal tiling 1 i
spiddihexah 3D hyperbolic small prismatodishexagonal-tiling honeycomb, runcinated order 6 hexagonal-tiling honeycomb 1 i
dittadiu 5D dittady-based ursateron 1.008123 1440, 10920, 16080, 5880, 362
gaxu 5D gax-based ursateron 1.008123 960, 5880, 9120, 4920, 722
gidtixhiu 5D gidtixhi-based ursateron 1.008123 1440, 10920, 17040, 7800, 842
gofixu 5D gax-based ursateron 1.008123 960, 5880, 8160, 3000, 242
sidtixhiu 5D sidtixhi-based ursateron 1.008123 1440, 10920, 17040, 7800, 842
pistodip 4D pentagon - octagram duoprism 1.008216 40, 80, 53, 13
... 4D f x3o3o, variation of tetrahedron prism, vertex figure of rectified hyperbolic hecatonicosachoric honeycomb 1.014647 8, 16, 14, 6
tratratet 7D triangle-triangle-tetrahedron-triprism, vertex figure of Gosset polytope 03,2,2 1.020621 36, 126, 204, 195, 118, 45, 10
gaquatid 3D great quasitruncated icosidodecahedron, stellatruncated icosidodecahedron 1.020684 120, 180, 62
qridaquit gissidu 4D expanded axially-great-icosahedral ursachoron, (qrid,quit gissid)-based ursulate 1.020794 180, 450, 346, 76
gippixhihy 4D great prismatohexacosihecatonicosihecatonicosachoron 1.021064 7200, 18000, 12240, 2040
girpixhi 4D great rhombiprismic hexacosahecatonicosachoron 1.021064 7200, 18000, 11040, 1440
quippirgax 4D quasiprismatorhombated grand hexacosachoron 1.021064 7200, 18000, 13440, 2640
gabdacan 5D great biprismatodiscellipenteract 1.021221 160, 640, 1120, 840, 210
ginnont 5D great penteractipenteractitriacontiditeron 1.021221 160, 640, 640, 280, 52
gittithip 5D great-tesseractitesseractihexadecachoron prism 1.021221 128, 448, 464, 200, 34
quacant 5D quasicellated penteractitriacontiditeron 1.021221 160, 640, 1040, 800, 242
breday 9D birectified decayotton, Gosset polytope 06,2, vertex figure of hyperbolic 16,2 1.024695 120, 1260, 3360, 4620, 4032, 2310, 840, 180, 20
gwavathi 4D great sphenoverted triakishecatonicosachoron 1.027486 3600, 10800, 5520, 360
qrigfix (old: querfix) 4D quasirhombated great faceted hexacosachoron 1.027486 3600, 10800, 7680, 960
trapedip, K-4.34 4D triangle - pentagon duoprism, pentagon - pip wedge 1.028076 15, 30, 23, 8
penu 5D pentachoron-based ursateron, pen-based ursulate, vertex figure of o3o3o3o4s3s 1.029086 20, 65, 80, 45, 12
cubaco, cube || co, K-4.35 4D cube atop cuboctahedron, cubical cupola 1.031784 20, 60, 56, 16
tracube 5D triangle - cube duoprism 1.040833 24, 60, 62, 33, 9
trope (old: troctip) 6D triangle-octahedron duoprismatic prism 1.040833 36, 126, 186, 144, 61, 13
titridafup 7D triangle-tridafup duoprism 1.040833 54, 270, 540, 558, 324, 105, 17
quacox 6D quasicellihexeract 1.042011 960, 5760, 12320, 12000, 5148, 668
bru 10D birectified hendecaxennon, Gosset polytope 07,2 1.044466 165, 1980, 5940, 9570, 10164, 7392, 3630, 1155, 220, 22
racoh 3D hyperbolic x3o4x3o4*a tesselation, rectified cubic-octahedral honeycomb 1.045866 i
petet 5D pentagon-tetrahedron duoprism, pentagon duofastegium 1.048144 20, 50, 54, 31, 9
hixu 6D hexateral-based ursapeton ofx3xoo3ooo3ooo3ooo&#xt, hix-based ursulate 1.048383 27, 111, 175, 140, 63, 14
squarap 6D square - rectified-pentachoron duoprism 1.048809 40, 160, 250, 190, 74, 14
octrap 7D octahedron - rectified-pentachoron duoprism 1.048809 60, 300, 620, 670, 396, 122, 18
coates 5D cuboctahedron atop tesseract 1.050501 28, 104, 134, 73, 17
gicalico 5D great icositetrachoron atop dual icositetrachoron, blend of 3 icateses 1.050501 48, 336, 744, 600, 122
icates, ico || tes 5D icositetrachoron atop tesseract 1.050501 40, 216, 408, 288, 58
icoap (alt.: icoalico) 5D icositetrachoral antiprism, icositetrachoron atop dual icositetrachoron 1.050501 48, 336, 768, 720, 242
... 5D squap - square duoprism, {4}-wedge of tessap 1.050501 20, 68, 89, 52, 13
tessap 5D tesseract antiprism, hexadecachoron antiprism 1.050501 24, 120, 248, 232, 82
pistadedip 4D pentagon - decagram duoprism 1.051462 50, 100, 65, 15
brillip 7D birectified - heptapeton prism 1.052209 70, 455, 910, 840, 413, 112, 16
... 3D 2tiggy (?) 1.053292
tiggy 3D truncated great icosahedron, great truncated icosahedron 1.053292 60, 90, 32
tetrappal octrap 8D (tetrahedron, rectified pentachoron)-duoprism atop alternate (octahedron, rectified pentachoron)-duoprism 1.054093 100, 840, 2220, 2820, 1960, 770, 170, 20
trene 8D trirectified enneazetton, Gosset polytope 04,3 1.054093 126, 1260, 2940, 3150, 1890, 672, 144, 18
garawv hixhi 4D great retrosphenoverted hecatonicosihexacosihecatonicosachoron 1.054256 3600, 10800, 7440, 840
pirgady 4D pseudorhombated great dishecatonicosachoron 1.054256 3600, 10800, 8160, 960
sirgax 4D small rhombated grand hexacosachoron 1.054256 3600, 10800, 8640, 1440
ripech 3D hyperbolic rectified order 5 cubic honeycomb 1.057371 i
... 3D x f3o, variation of triangular prism 1.059565 6, 9, 5
sittiteteat 2D hyperbolic rectified ditetragonary tritetragonal tiling, hyperbolic small tritetratetragonal tiling, hyperbolic cantic order 4 hexagonal tiling 1.060082 i
... 3D oq4oo&#h squippy variant 1.060660 5, 8, 5
tetcube 6D tetrahedron - cube duoprism 1.060660 32, 96, 128, 96, 42, 10
haxip 7D hemihexeractic prism, vertex figure of rinquoh 1.060660 64, 512, 1520, 1920, 1144, 340, 46
henne 9D demi-enneract, Gosset polytope 16,1 1.060660 256, 4608, 21504, 37632, 36288, 23520, 9888, 2448, 274
renepy 9D rectified-enneazettonal pyramid, vertex pyramid of demienneract 1.060660 37, 288, 840, 1344, 1386, 966, 444, 126, 19
tragittith 6D (triangle,gittith)-duoprism 1.061238 192, 768, 1048, 696, 235, 35
... 3D 12S-24R-6O polyhedron within quitco's army 1.062393 48, 96, 42
quitco 3D quasitruncated cuboctahedron, great truncated cuboctahedron, stellatruncated cuboctahedron 1.062393 48, 72, 26
gaddadid, gad || did 4D great dodecahedron atop dodecadodecahedron, great-dodecahedral cupola 1.064815
sidrebcu 4D stellidodecahedral rectibicupola, orbiform bistratc stack of small stellated dodecahedron atop pseudo dodecadodecahedron atop great dodecahedron 1.064815 54, 240, 228, 50
sissidadid, sissid || did 4D small stellated dodecahedron atop dodecadodecahedron, small-stellated-dodecahedral cupola 1.064815 42, 150, 126, 26
... 3D diagonal square wedge, line atop dual square 1.069045 6, 11, 7
... 4D 2firgaghi (?) 1.070466
firgaghi 4D faceted rectified great grand hecatonicosachoron 1.070466 1200, 3600, 2640, 240
mohiny 4D medial hecatonicosintercepted hecatonicosachoron 1.070466 1200, 3600, 3360, 240
ragaghi 4D rectified great grand hecatonicosachoron 1.070466 1200, 3600, 2160, 240
... 3D hyperbolic x3x3o3o5*a tesselation 1.072098 i
cubpen 7D cube-pentachoron duoprism 1.072381 40, 140, 230, 225, 138, 52, 11
... 3D f x4o, variation of cube 1.074481 8, 12, 6
gaddip 4D great-dodecahedron prism 1.074481 24, 72, 54, 14
gyepippip 4D gyroelongated-pentagonal-pyramid prism 1.074481 22, 61, 57, 18
ipe, K-4.36 4D icosahedron prism, vertex figure of rectified hyperbolic pentachoric honeycomb 1.074481 24, 72, 70, 22
mibdip 4D metabidiminished-icosahedron prism 1.074481 20, 50, 44, 14
pappip, K-4.39 4D pentagonal-antiprism prism 1.074481 20, 50, 44, 14
peppyp, K-4.38 4D pentagon-pyramidal prism, J2 prism, line || pip 1.074481 12, 26, 22, 8
teddipe 4D tridiminished-icosahedron prism 1.074481 18, 39, 31, 10
sishia 5D small stellated hecatonicosachoron alterprism, narrower sishi atop sishi 1.074481 240, 3840, 8640, 3840, 362
... 5D sishia + 2 2sishi 1.074481
sitpodadia 5D small (intersected) tripesic dodecahedronary dishecatonicosachoron alterprism 1.074481 240, 8640, 13440, 6000, 362
... 3D Dohány synagoge polyhedron, Tabakgasse polyhedron 1.080123 16, 28, 14
titstip 6D triangle-triangle-square triprism 1.080123 36, 108, 141, 102, 43, 10
gaqrigafix 4D great quasirhombated great faceted hexacosachoron 1.080363 7200, 14400, 7680, 960
tetgittith 7D (tet,gittith)-duoprism 1.080691 256, 1152, 2016, 1776, 932, 270, 36
giphado 4D great prismatohexadecadisoctachoron 1.082392 192, 480, 336, 64
girpith 4D great rhombiprismated tesseractihexadecachoron 1.082392 192, 480, 304, 48
qrico 4D quasirhombated icositetrachoron 1.082392 288, 864, 720, 144
quiproh 4D quasiprismatorhombated hexadecachoron 1.082392 192, 480, 368, 80
quithaquitco 4D quasitruncated hexahedron atop quasitruncated cuboctahedron 1.082392 72, 156, 112, 28
wavaty 4D sphenoverted triakisicositetrachoron 1.082392 288, 864, 576, 72
hap, 6-ap 3D hexagonal antiprism 1.087664 12, 24, 14
stopen 6D octagram-pentachoron duoprism 1.092197 40, 120, 165, 130, 58, 13
... 4D pentachoron-derived Gévay polychoron, rectified o3m3o3o 1.095445 30, 90, 80, 20
rapdip 8D rectified-pentachoron duoprism 1.095445 100, 600, 1500, 2000, 1520, 660, 160, 20
treday 9D trirectified decayotton, Gosset polytope 05,3 1.095445 210, 2520, 6720, 8610, 6552, 3150, 960, 180, 20
hodidgyt 5D hollow dodecadodecahedral gyrotrigonism 1.098185 90, 540, 696, 288, 39
... 5D 2did gyrotrigonism 1.098185
tasquat 2D hyperbolic truncated infinite-order square tiling 1.098684 i
tissish 3D hyperbolic truncated order 4 square-tiling honeycomb 1.098684 i
quacpot 5D quasicelliprismated triacontiditeron 1.102028 640, 2240, 2960, 1600, 242
... 3D q x5o, variation of pentagonal prism 1.106168 10, 15, 7
squipdip, K-4.42 4D square-pentagon duoprism 1.106168 20, 40, 29, 9
poct 5D pentagon - octahedron duoprism 1.106168 30, 90, 106, 57, 13
... 6D hyperbolic s3s4o3o3o4o pentacomb 1.111786 i
trike 5D triangle - icosahedron duoprism 1.112583 36, 126, 162, 93, 23
griso 3D great rhombisnub octahedron, compound of 4 hip 1.118034
hip 3D hexagonal prism, Voronoi cell of unit-stacked hexagonal lattice 1.118034 12, 18, 8
... 3D ho3oh&#q, narrower variant of trigonal antiprism, hemiation of hip 1.118034 6, 12, 8
rosi 3D rhombisnub icosahedron, compound of 10 hip 1.118034
tuhip 3D orthogonal blend of hexagonal prisms 1.118034 16, 28, 12
... 3D uo ou&#h, shorter variant of digonal antiprism 1.118034 4, 6, 4
... 3D x h3o, variation of triangular prism 1.118034 6, 9, 5
... 3D x q4o, variation of cube 1.118034 8, 12, 6
chope 4D cubohemioctahedron prism 1.118034 24, 60, 44, 12
cope, K-4.43 4D cuboctahedron prism 1.118034 24, 60, 52, 16
diddip 4D dodecadodecahedron prism 1.118034 60, 150, 108, 26
... 4D vertex figure of great biprismatodiscellipenteract 1.118034 8, 28, 38, 18
ohope 4D octahemioctahedron prism 1.118034 24, 60, 48, 14
... 4D vertex figure of quasicellated penteractitriacontiditeron 1.118034 8, 24, 32, 16
tobcupe, K-4.44 4D triangular-orthobicupola prism 1.118034 24, 60, 52, 16
tricupe, K-4.45 4D triangular-cupola prism, triangular prism atop hexagonal prism 1.118034 18, 39, 31, 10
cubpyp 5D cubpy prism 1.118034 18, 49, 56, 32, 9
icope 5D icositetrachoron prism 1.118034 48, 216, 288, 144, 26
opeacope 5D ope atop cope, octaco-prism, ope-first half of icope 1.118034 36, 138, 176, 90, 18
pent 5D penteract, decateron, 5D measure-polytope (γ5), geopet(id) 1.118034 32, 80, 80, 40, 10
spiddip 5D small-prismatodecachoron prism 1.118034 40, 140, 200, 130, 32
tepeacope 5D tepe atop cope, tepe-first half of spiddip 1.118034 32, 100, 126, 74, 18
trawp (alt.: opea hip) 5D traw prism, ope atop hip, 1/6-lune of icope 1.118034 24, 72, 84, 45, 11
tricufip 5D tricuf prism 1.118034 24, 66, 75, 42, 11
octcube 6D octahedron-cube duoprism 1.118034 48, 168, 244, 182, 72, 14
ratip 6D rectified-triacontiditeron prism 1.118034 80, 520, 1040, 880, 324, 44
scadip 6D small-cellated-dodecateric prism 1.118034 60, 270, 540, 570, 304, 64
cubhex 7D cube-hexadecachoron duoprism 1.118034 64, 288, 592, 664, 416, 140, 22
ragip 7D rectified-hexacontitetrapeton prism 1.118034 120, 1020, 2720, 3520, 2352, 728, 78
stafip 7D small terated tetradecapeton prism 1.118034 84, 462, 1190, 1750, 1498, 686, 128
tratratrip 7D triangle - triangle - triangle - triprismatic prism 1.118034 54, 189, 297, 270, 153, 54, 11
laqpe 8D pentacontihexapentacosiheptacontihexaexon prism 1.118034 252, 4158, 22176, 50400, 52416, 25704, 6052, 634
icoy 9D icosayotton, quadrirectified decayotton, equatorial cross-section of (vertex first) 1/q-deker, Gosset polytope 04,4 1.118034 252, 3150, 8400, 10500, 7560, 3360, 960, 180, 20
rapdafup 9D rectified-pentachoron duoantifastegium 1.118034 200, 2100, 6600, 10000, 8440, 4180, 1240, 220, 22
hede 10D demi-dekeract, Gosset polytope 17,1 1.118034 512, 11520, 61440, 122880, 142464, 115584, 64800, 2400, 5300, 532
..., 15,3 9D hyperbolic Gosset enneacomb 15,3 1.118034 i
... 3D hyperbolic x3o3x3o5*a tesselation 1.118425 i
cubacope 5D cube atop cuboctahedron-prism 1.120019 32, 120, 154, 81, 17
tiggia gaquatid 4D truncated great icosahedron atop great quasitruncated icosidodecahedron 1.120533 180, 390, 274, 64
quotacog 6D quasitericellated hexacontatetrapeton 1.121320 1920, 8640, 16320, 15360, 6488, 728
icaf (alt.: icalicope) 6D icositetrachoron antifastegium, icositetrachoron atop inverted icositetrachoral-prism 1.123033 72, 600, 1680, 2088, 1179, 243
pirgadia 5D pirgady alterprism 1.125151 7200, 36000, 45120, 15840, 1082
desided 3D disnub icosidodecadodecahedron, compound of 2 sided 1.126898
sided 3D snub icosidodecadodecahedron, dagon 1.126898 60, 180, 104
gaquapac 4D great quasiprismatotetracontoctachoron 1.127864 1152, 2304, 1392, 240
tru 10D trirectified hendecaxennon, Gosset polytope 06,3 1.128152 330, 4620, 13860, 20790, 19404, 12012, 4950, 1320, 220, 22
topazat 2D hyperbolic truncated order 5 apeirogonal tiling 1.130426 i
haf, K-4.46 4D hexagonal antifastegium, hexagon - hap wedge, {6} || gyro hip 1.130454 18, 48, 45, 15
tetike 6D tetrahedron-icosahedron duoprism 1.131154 48, 192, 308, 256, 116, 24
gidditdid 3D great ditrigonary dodekicosidodecahedron, great dodekified icosidodecahedron 1.134229 60, 120, 44
giddy 3D great dodekicosahedron 1.134229 60, 120, 32
... 3D giddy+12{10/2} (?) 1.134229
... 3D giddy+20{6/2} 1.134229
giid 3D great icosicosidodecahedron 1.134229 60, 120, 52
gaquatiddip 4D great-quasitruncated-icosidodecahedron prism 1.136572 240, 480, 304, 64
getatixady 4D great tritrigonary hexacosidishecatonicosachoron 1.136572 2400, 10800, 9840, 840
getit dixady 4D great tritrigonal dihexacosidihecatonicosachoron 1.136572 2400, 10800, 8640, 1440
getit phiddix 4D great tritrigonal prismatohecatonicosidishexacosachoron 1.136572 2400, 10800, 9840, 2040
getit pixady 4D great tritrigonal prismatohexacosidihecatonicosachoron 1.136572 2400, 10800, 8880, 1560
getit thix 4D great tritrigonal trishecatonicosihexacosachoron 1.136572 2400, 10800, 7680, 960
getit xethi 4D great tritrigonal hexacositrishecatonicosachoron 1.136572 2400, 10800, 7680, 960
gidtidagiid 4D great ditrigonary icosidodecahedron atop great icosicosidodecahedron, gidtid cap of getit phiddix 1.136572 80, 240, 204, 54
git thixady 4D great tritrigonal hecatonicosihexacosidishecatonicosachoron 1.136572 2400, 10800, 7680, 960
... 4D reduced( ofx3/2oxx3xxx&xt by 4x {6/2} ) 1.136572 40, 102, 78, 20
histodip 4D hexagon - octagram duoprism 1.137055 48, 96, 62, 14
ginnontip 6D ginnont prism 1.137055 320, 1440, 1920, 1200, 384, 54
goxaxog 6D great hexeractihexeractihexacontitetrapeton 1.137055 384, 1920, 2480, 1600, 564, 88
quitoxog 6D quasiterated hexeractihexacontatetrapeton 1.137055 384, 1920, 4160, 4800, 2904, 728
trapip (old: trapedippip) 5D triangle pentagonal-prism duoprism, triangle-pentagon duoprismatic prism 1.143215 30, 75, 76, 39, 10
... 3D 4fold teddi analog 1.144123 12, 20, 10
octu 4D axially-octahedral ursachoron ofx3xoo4ooo&#xt, oct-based ursulate, vertex figure of s3s4o3o4o 1.144123 24, 66, 58, 16
hexu 5D hexadecachoron-based ursateron, hex-based ursulate, vertex figure of s3s4o3o3o4o 1.144123 40, 176, 248, 136, 26
tacu 6D tac-based ursapeton 1.144123 60, 370, 760, 720, 314, 44
... 3D u x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron 1.154701 6, 9, 5
thiddip, K-4.47 4D triangle - hexagon duoprism, hexagon - hip wedge 1.154701 18, 36, 27, 9
triddep 4D triangular duoexpandoprism, expanded triddip, tegum sum of 2 alternated thiddips 1.154701 36, 108, 120, 48
traco (alt.: cocoe cotric) 5D triangle - cuboctahedron duoprism, (co,co,co)-trigonic 1.154701 36, 108, 126, 69, 17
tritricu 5D triangle-tricu duoprism, half of traco 1.154701 27, 72, 78, 42, 11
traspid 6D triangle - small-prismated-pentachoron duoprism 1.154701 60, 240, 410, 360, 163, 33
tratess 6D triangle - tesseract duoprism 1.154701 48, 144, 184, 128, 51, 11
trico 6D triangle - icositetrachoron duoprism 1.154701 72, 360, 600, 456, 171, 27
tratac 7D triangle - triacontiditeron duoprism, vertex figure of bark 1.154701 30, 150, 370, 520, 416, 179, 35
triquip 8D triangle-triangle-triangle-triangle-tetraprism (or: -quadprism) 1.154701 81, 324, 594, 648, 459, 216, 66, 12
tiggipe 4D truncated-great-icosahedron prism 1.165943 120, 240, 154, 34
teru 10D tetrarectified hendecaxennon, quadrirectified hendecaxennon, Gosset polytope 05,4 1.167748 462, 6930, 20790, 30030, 25872, 14322, 5280, 1320, 220, 22
birachach 3D hyperbolic birectified alternated order-6 cubic honeycomb, hyperbolic runcic order-6 cubic honeycomb 1.168771 i
... 3D 2tut (?) 1.172604
hiktut 3D hexakis truncated tetrahedron 1.172604 16, 42, 28
... 3D β3x3o 1.172604
taki 3D truncated chiro-icosahedron, compound of 5 tut 1.172604
te 3D truncated icosiicosahedron, compound of 10 tut 1.172604
tisso 3D truncated stella octangula, compound of 2 tut 1.172604
tut 3D truncated tetrahedron, cantic cube, Waterman polyhedron number 2 wrt. face-centered cubic lattice A3 centered at a shallow hole 1.172604 12, 18, 8
tutut 3D two tut cupolaic blend, gyrated blend of 2 truncated tetrahedra 1.172604 18, 30, 14
hatet (old: hittet, alt. hipdaw) 5D hexagon-tetrahedron duoprism, hexagon duofastegium, hip disphenoid 1.172604 24, 60, 64, 36, 10
tetco 6D tetrahedron-cuboctahedron duoprism 1.172604 48, 168, 248, 196, 86, 18
tettes 7D tetrahedron-tesseract duoprism 1.172604 64, 224, 352, 320, 180, 62, 12
traginnont 7D (triangle,ginnont)-duoprism 1.173127 480, 2400, 4000, 3400, 1636, 439, 55
... 3D f x5o, variation of pentagonal prism 1.173932 10, 15, 7
gichado 4D great cubihexadecadisoctachoron 1.174172 192, 480, 320, 56
girpdo 4D great rhombiprismatodisoctachoron 1.174172 192, 480, 304, 48
paqrit 4D prismatoquasirhombated tesseract 1.174172 192, 480, 368, 80
quitcope 4D quasitruncated-cuboctahedron prism 1.174172 96, 192, 124, 28
sroteoct 2D hyperbolic (small) rhombitetraoctagonal tiling 1.175154 i
... 4D 2prapvixhi (?) 1.175571
... 4D 2spapivady (?) 1.175571
frogshi 4D facetorectified great stellated hecatonicosachoron 1.175571 720, 3600, 2880, 240
griphi 4D great retropental hecatonicosachoron 1.175571 720, 3600, 1920, 120
prap vixhi 4D pentagonal retroprismatoverted hexacosahecatonicosachoron 1.175571 720, 3600, 3600, 720
ragashi 4D rectified grand stellated hecatonicosachoron 1.175571 720, 3600, 2160, 240
ragishi 4D rectified great stellated hecatonicosachoron 1.175571 720, 3600, 3120, 240
rihix 4D retroinverted hecatonicosihexacosachoron 1.175571 720, 3600, 4320, 720
spapivady 4D small pentagrammal antiprismatoverted dishecatonicosachoron 1.175571 720, 3600, 2160, 240
raggixu 5D raggix-based ursateron 1.175984 5040, 22320, 26640, 10800, 1442
gaqrigagishi 4D great quasirhombated great grand stellated hecatonicosachoron 1.179024 7200, 14400, 9120, 1920
... 4D 2garpop+20{6/2} 1.183216
... 4D 2srip (?) 1.183216
... 4D 2srip+20{6}+40{3} (?) 1.183216
... 4D 2srip+20{6}+60{3} (?) 1.183216
... 4D 2srip+20trip (?) 1.183216
bidsrip 4D bidiminished small rhombated pentachoron 1.183216 24, 60, 51, 15
biscsrip 4D bistratic trip-cap of srip, {3}-diminished small rhombated pentachoron 1.183216 27, 75, 66, 18
choatut 4D cubohemioctahedron atop truncated tetrahedron 1.183216 24, 66, 54, 16
coatut, co || tut, K-4.48 4D cuboctahedron atop truncated tetrahedron, cuboctahedral cap of small rhombated pentachoron 1.183216 24, 66, 58, 16
garpop 4D grand rhombated prismatopentachoron 1.183216 30, 90, 65, 15
octatut, oct || tut, K-4.52 4D octahedron atop truncated tetrahedron, octahedral cap of small rhombated pentachoron 1.183216 18, 42, 34, 10
ohoa hotut 4D oho atop hollow 2tut 1.183216 24, 66, 52, 13
pinnipdip 4D pentaintercepted prismatodispentachoron, prismatopentaintercepted dispentachoron 1.183216 30, 90, 115, 30
... 4D pinnipdip+15{4} (?) 1.183216
pippindip 4D prismatopentintercepted dispentachoron 1.183216 30, 90, 115, 25
pirpop 4D pseudorhombated prismatopentachoron 1.183216 30, 90, 85, 25
... 4D pirpop+5 2thah (?) 1.183216
rawvtip 4D retrosphenoverted triakispentachoron 1.183216 30, 90, 70, 15
sirdop 4D small rhombidispentachoron 1.183216 30, 90, 70, 20
... 4D sirdop+10{6/2} (?) 1.183216
srip 4D small rhombated pentachoron, cantellated pentachoron 1.183216 30, 90, 80, 20
tobcuatut, tobcu || tut, K-4.49 4D triangular-orthobicupola atop truncated-tetrahedron 1.183216 24, 66, 61, 19
tricuatut, tricu || tut, K-4.50 4D triangular-cupola atop truncated-tetrahedron 1.183216 21, 51, 43, 13
tripuf, K-4.51 4D trigonal pucofastegium, triangle - hexagon-prismatic wedge, trigonal magnabicupolaic ring, {3} || hip, {6} || tricu, {3}-first cap of srip 1.183216 15, 33, 27, 9
copen 7D cuboctahedron - pentachoron duoprism 1.183216 60, 240, 430, 445, 282, 104, 19
squike 5D square-icosahedron duoprism 1.185120 48, 168, 212, 114, 24
octike 6D octahedron-icosahedron duoprism 1.185120 72, 324, 576, 498, 202, 28
cytoth (old: cytitoh) 3D hyperbolic x3x3o4o3*a tesselation, cyclotruncated octahedral-tetrahedral honeycomb (but not the euclidean cyclotruncated tetrahedral-octahedral honeycomb cytatoh) 1.189207 i
copatut 5D cope atop tut 1.190238 36, 126, 156, 81, 17
opeatut (alt.: octoct tuttric) 5D ope atop tut, (oct,oct,tut)-trigonic 1.190238 24, 72, 84, 45, 11
pabex hix (alt.: thiddipcup) 5D partially bi-expanded hexateron, thiddip cupoliprism 1.190238 36, 108, 126, 66, 14
rapalsrip 5D rap atop inverted srip, rap-first cap of spix 1.190238 40, 150, 200, 110, 22
rapatut (alt.: tetoct tuttric) 5D rap atop tut, (tet,oct,tut)-trigonic 1.190238 22, 72, 86, 45, 11
rippix 5D retroprismated hexateron 1.190238 60, 270, 300, 120, 18
spidasrip 5D spid atop srip, spid-first cap of spix 1.190238 50, 210, 300, 170, 32
spix 5D small prismated hexateron, runcinated hexateron 1.190238 60, 270, 420, 255, 47
tetacope 5D tet atop cope, tet-first segment of spix 1.190238 28, 90, 116, 69, 17
topax 5D pteroprismated hexateron 1.190238 60, 270, 330, 135, 21
triddip althiddip 5D triddip atop gyrated thiddip 1.190238 27, 90, 114, 63, 14
triddipa hip 5D triddip atop hip, (triangle,trip,hip)-trigonic 1.190238 21, 60, 71, 41, 11
tripa thiddip 5D trip atop thiddip, (hexagon,trip,hip)-trigonic 1.190238 24, 69, 80, 44, 11
gadencorn 5D great dispinocellirhombated penteract 1.192297 960, 3840, 4480, 1600, 132
garcornit 5D great retrocellirhombated penteractitriacontaditeron 1.192297 960, 3840, 3920, 1280, 142
quacrant 5D quasicellirhombipenteractitriacontiditeron 1.192297 960, 3840, 4720, 2080, 242
wacbinant 5D sphenary cellibiprismatopenteractipenteractitriacontaditeron 1.192297 960, 3840, 4240, 1600, 172
rixalspix 6D rectified hexateron atop small prismated hexateron, rix-first cap of scal 1.195229 75, 390, 770, 720, 314, 49
scadaspix 6D small cellated dodecateron atop small prismated hexateron, scad-first cap of scal 1.195229 90, 510, 1050, 1005, 439, 64
scal 6D small cellated heptapeton, stericated heptapeton 1.195229 105, 630, 1400, 1470, 700, 105
happip, K-4.53 4D hexagonal-antiprism prism 1.197085 24, 60, 52, 16
seto 7D small terated octaexon, pentellated octaexon 1.198958 168, 1260, 3640, 5460, 4452, 1764, 226
taggix 4D truncated grand hexacosachoron 1.199039 1440, 4320, 3600, 720
tigfix 4D truncated great faceted hexacosichoron 1.199039 1440, 4320, 2640, 240
repip (alt. ampip) 3D rectified/ambified pip, o2o5o symmetric co relative 1.203002 15, 30, 17
pedip 4D pentagon-pentagon duoprism 1.203002 25, 50, 35, 10
pedpedip 4D pentadiminished pentagonal duoprism 1.203002 20, 60, 55, 15
gippixady 4D great prismatohexacosadishecatonicosachoron 1.207883 7200, 18000, 11280, 1560
gripady 4D great rhombiprismic dishecatonicosachoron 1.207883 7200, 18000, 11040, 1440
paqrigagishi (old: paqrahi) 4D prismatoquasirhombated great grand stellated hecatonicosachoron 1.207883 7200, 18000, 13440, 2640
pecube 5D pentagon-cube duoprism 1.213922 40, 100, 98, 47, 11
... 3D q3o3x, variation of cuboctahedron 1.215958 12, 24, 14
trikep 6D triangle-icosahedron duoprismatic prism 1.219771 72, 288, 450, 348, 139, 25
thihexat 2D hyperbolic truncated order 6 hexagonal tiling 1.221076 i
... 3D Shephard's 4-generalised cube, complex polyhedron x4-4-o2-3-o2 , γ4 3 1.224745 64, 48, 12
... 3D oq ou&#h squippy variant 1.224745 5, 8, 5
... 3D q x6o, variation of hexagonal prism 1.224745 12, 18, 8
... 3D qo ou&#h disphenoid 1.224745 4, 6, 4
... 3D u x4o, variation of cube 1.224745 8, 12, 6
... 4D 2rit+64tet (?) 1.224745
firt 4D facetorectified tesseract 1.224745 32, 96, 96, 32
gotto 4D great trisoctachoron, great triakisoctachoron 1.224745 32, 96, 88, 24
hinnit 4D hexadekintercepted tesseract 1.224745 32, 96, 120, 24
mibdirit 4D metabidiminished rectified tesseract, wedge-diminished rectified tesseract, bistratic cuboctahedron based wedge 1.224745 24, 60, 51, 15
retepe (alt.: amtepe) 4D rectified/ambified tepe 1.224745 16, 48, 46, 14
rit 4D rectified tesseract, rectified octachoron, birectified hexadecachoron, runcic tesseract, equatorial cross-section of ico-first nit 1.224745 32, 96, 88, 24
shiddip, K-4.54 4D square - hexagon duoprism 1.224745 24, 48, 34, 10
sto 4D small trisoctachoron, small triakisoctachoron 1.224745 32, 96, 96, 24
... 4D sto+16tet (?) 1.224745
tetatut, K-4.56 4D tetrahedron atop truncated tetrahedron, tetrahedral cap of rectified tesseract 1.224745 16, 36, 30, 10
tuta (alt.: pabdirit, tutcup, tutaltut), tut || inv tut, K-4.55 4D truncated tetrahedral alterprism, truncated tetrahedral cupoliprism, runcic snub cubic hosochoron, truncated tetrahedron atop inverted truncated tetrahedron, truncated tetrahedron atop alternate truncated tetrahedron, tetrahedrally medial part of rectified tesseract, parabidiminished rectified tesseract 1.224745 24, 60, 52, 16
bodnit 5D bi-octa-diminished penteractitriacontiditeron 1.224745 64, 288, 440, 272, 58
coa tutcup, co || tutcup 5D co atop tuta 1.224745 36, 132, 162, 81, 17
coarit 5D co atop rit 1.224745 44, 168, 222, 121, 25
hisquippy 5D hexagon-squippy douprism, half of hoct 1.224745 30, 78, 83, 44, 11
hoct 5D hexagon octahedron duoprism 1.224745 36, 108, 126, 66, 14
ica tutcup, ico || tutcup 5D icositetrachoron atop truncated-tetrahedral-cupoliprism 1.224745 48, 228, 304, 148, 26
icarit, ico || rit 5D icositetrachoron atop rectified tesseract, ico-first half of nit 1.224745 56, 288, 376, 168, 26
irl 5D invertiretrolepidoteron 1.224745 80, 480, 880, 400, 48
irohlohn 5D invertiretrohexadecalepidohemipenteract 1.224745 80, 480, 1120, 640, 69
mibdinit 5D metabidiminished nit, rectified bidhin 1.224745 60, 300, 394, 183, 31
nat 5D spinotriacontaditeron 1.224745 80, 480, 640, 240, 32
nit 5D penteractitriacontiditeron, birectified penteract, birectified triacontiditeron, birectified pentacross, Gosset polytope 02,1,1, equatorial cross-section of rat-first brag 1.224745 80, 480, 640, 280, 42
octacope 5D oct atop cope, oct-first cap of nit 1.224745 30, 120, 156, 81, 17
octco tuttric 5D (oct,co,tut)-trigonic 1.224745 30, 114, 144, 75, 17
octhipdaw (alt.: traporhip) 5D (oct,hip)-disphenoid, trigonal antiprism atop axis-orthogonal hexagonal prism 1.224745 18, 54, 64, 36, 10
odnit 5D octadiminished penteractitriacontiditeron 1.224745 72, 384, 556, 292, 50
raccoth 5D retrocellitriacontadiahexadecateron 1.224745 80, 480, 960, 640, 88
rapasrip 5D rectified pentachoron atop small rhombated pentachoron, rap-first cap of nit 1.224745 40, 180, 230, 110, 22
squaco 5D square-cuboctahedron duoprism 1.224745 48, 144, 164, 84, 18
squadinit 5D square-diminished nit 1.224745 56, 240, 344, 200, 42
squatricu 5D square-tricu duoprism 1.224745 36, 96, 101, 51, 12
sripa (alt: pabdinit, old: sripalsrip) 5D small rhombated pentachoron alterprism, small rhombated pentachoron atop inverted small rhombated pentachoron, parabidiminished nit, equatorial segment of nit 1.224745 60, 300, 400, 190, 32
tisdippy 5D triangle-square-duoprism pyramid, vertex pyramid of nit 1.224745 13, 36, 43, 26, 8
trial tricupe 5D triangle atop gyrated tricupe, (triangle,gyro trip,hip)-trigonic 1.224745 21, 66, 80, 44, 11
ax (old: hexe) 6D hexeract, dodecapeton, 6D measure-polytope (γ6), geoex(id) 1.224745 64, 192, 240, 160, 60, 12
brag (old: dric) 6D birectified hexacontitetrapeton, Voronoi cell of lattice D6*, equatorial cross-section of rag-first barz 1.224745 160, 1440, 2880, 2160, 636, 76
dottaspix 6D dodecateron atop small prismated hexateron, dot-first cap of birectified hexacontitetrapeton 1.224745 80, 540, 1080, 885, 314, 49
hexcopedaw (alt.: hexorcope) 6D (hex,cope)-disphenoid, tetrahedral antiprism atop axis-orthogonal cuboctahedron prism 1.224745 32, 132, 228, 196, 86, 18
hidbrag 6D hexadeca-diminished brag, tegum sum of 2 antialigned octcoes 1.224745 144, 1152, 2592, 2280, 788, 92
octco 6D octahedron-cuboctahedron duoprism 1.224745 72, 288, 468, 378, 148, 22
ratanit 6D rectified triacontaditeron atop penteractitriacontiditeron, rat-first rotunda of brag 1.224745 120, 960, 1760, 1240, 364, 44
spixa (old: spixalspix) 6D small prismated hexateron alterprism, small prismated hexateron atop inverted small prismated hexateron, medial segment of dot-first birectified hexacontitetrapeton 1.224745 120, 900, 1920, 1620, 544, 64
squico 6D square-icositetrachoron duoprism 1.224745 96, 480, 792, 576, 196, 28
troctpy 6D troct pyramid, vertex pyramid of brag 1.224745 19, 72, 120, 105, 50, 12
barz (old: drhio) 7D birectified hecatonicosoctaexon, equatorial cross-section of rez-first bark 1.224745 280, 3360, 8960, 10640, 6048, 1428, 142
octico 7D octahedron - icositetrachoron duoprism 1.224745 144, 864, 1920, 2088, 1158, 300, 32
ragabrag 7D rag atop brag, rag-first rotunda of barz 1.224745 220, 2400, 5920, 6400, 3372, 788, 78
scala (old: scalal scal) 7D small cellated heptapeton alterprism, small cellated heptapeton atop inverted small cellated heptapeton, medial segment of barz 1.224745 210, 210, 6160, 8190, 5180, 1406, 148
squarat 7D square rectified-triacontiditeron duoprism 1.224745 160, 1120, 2600, 2800, 1528, 412, 46
trahexpy 7D trahex pyramid, vertex pyramid of barz 1.224745 25, 120, 272, 344, 251, 102, 20
bark 8D birectified diacosipentacontahexazetton, equatorial cross-section of rek-first brav 1.224745 448, 6720, 22400, 36960, 34048, 16128, 3184, 272
hextes 8D hexadecachoron-tesseract duoprism 1.224745 128, 640, 1472, 1920, 1496, 696, 184, 24
brav 9D birectified pentacosidodecayotton, equatorial cross-section of riv-first brake 1.224745 672, 12096, 48384, 102816, 133056, 102144, 41472, 7056, 530
brake 10D birectified chilliaicositetraxennon 1.224745 960, 20160, 94080, 245280, 411264, 443520, 291840, 103680, 15540, 1044
risquah 3D hyperbolic rectified square-tiling honeycomb 1.224745 i
tessarit 5D tesseract atop rectified tesseract 1.227160 48, 192, 240, 120, 26
pentanit 6D pent atop nit 1.228783 112, 880, 2000, 1840, 732, 124
gaqri 4D great quasirhombated icositetrachoron 1.230739 576, 1152, 720, 144
gidditdiddip 4D great-ditrigonary-dodekicosidodecahedron prism 1.239546 120, 300, 208, 46
giidip 4D great-icosicosidodecahedron prism 1.239546 120, 300, 224, 54
gososaz 7D great hepteractihepteractihecatonicosoctaexon 1.242133 896, 5376, 8512, 7280, 3808, 1148, 156
goxaxogip 7D goxaxog prism 1.242133 768, 4224, 6880, 5680, 2728, 740, 90
quiposaz 7D quasipetated hepteractihecatonicosoctaexon 1.242133 896, 5376, 14560, 22400, 20328, 10192, 2186
gixhi 4D great hexacosihecatonicosachoron 1.244649 3600, 7200, 4320, 720
ragashia 5D rectified grand stellated hecatonicosachoron alterprism 1.248606 1440, 10800, 11520, 3360, 242
... 4D octaswirlic enneacontahexachoron, twelvefold dissected octahedral polytwister, twelvefold dissected octer 1.255926 72, 360, 384, 96
hep 3D heptagonal prism 1.256179 14, 21, 9
... 3D x u3o, variation of triangular prism 1.258306 6, 9, 5
trahip (old: thiddippip) 5D triangle hexagonal-prism duoprism, triangle-hexagon duoprismatic prism 1.258306 36, 90, 90, 45, 11
tracope 6D triangle-cuboctahedron duoprismatic prism 1.258306 72, 252, 360, 264, 103, 19
trapent 7D triangle-penteract duoprism 1.258306 96, 336, 512, 440, 230, 73, 13
rawvhiddix 4D retrosphenoverted hecatonicosadishexacosachoron 1.258409 3600, 10800, 7920, 1320
wavdatixady 4D sphenoverted ditrigonary hexacosadishecatonicosachoron 1.258409 3600, 10800, 6960, 840
rapu 5D rectified-pentachoron-based ursateron, rap-based ursulate 1.258489 50, 190, 230, 110, 22
tip (alt: tettum) 4D truncated pentachoron, tet-based tutsatope, tet-based tutism 1.264911 20, 40, 30, 10
tisted 4D truncated stellated decachoron, compound of 2 truncated pentachora 1.264911
repenp (alt.: ampenp) 5D rectified/ambified penp 1.264911 25, 100, 130, 70, 17
corap 7D cuboctahedron - rectified-pentachoron duoprism 1.264911 120, 600, 1220, 1270, 702, 194, 24
tepet (old: tepeat) 2D hyperbolic tetrapentagonal tiling 1.272020 i
tidect 2D hyperbolic tri-decagonal tiling 1.272020 i
riddoh 3D hyperbolic rectified order 4 dodecahedral honeycomb 1.272020 i
spidded 3D hyperbolic small prismated disdodecahedral honeycomb, hyperbolic prismated order 5 dodecahedral honeycomb, hyperbolic runcinated order 5 dodecahedral honeycomb 1.272020 i
spiddih 3D hyperbolic (small) prismated order 3 icosahedral honeycomb, hyperbolic runcinated order 3 icosahedral honeycomb 1.272020 i
... 3D hyperbolic x3o3o3x5*a tesselation 1.272020 i
rapente 4D rectified hyperbolic order 5 pentachoric tetracomb 1.272020 i
... 4D hyperbolic small cellated dishecatonicosachoral honeycomb, hyperbolic cellated order 5 hecatonicosachoral honeycomb 1.272020 i
tuttip, K-4.57 4D truncated-tetrahedron prism 1.274755 24, 48, 34, 10
fenandoh 5D facetospinopenteractidishexadecateron 1.274755 80, 400, 620, 280, 42
fidoh 5D facetoinverted decahexadecateron 1.274755 80, 400, 940, 320, 26
hexalrit 5D hex atop gyrated rit, hex-first cap of siphin 1.274755 40, 152, 216, 128, 26
octa tutcup, oct || tutcup 5D oct atop tuta 1.274755 30, 96, 120, 69, 17
pabgysiphin 5D parabigyrated small-prismated-hemipenteract 1.274755 80, 400, 720, 480, 82
penasrip 5D pen atop srip 1.274755 35, 130, 180, 105, 22
pexhin (old: tutas) 5D partially expanded hemipenteract, truncated tetrahedron altersquarism, tuta alterprism, cyclodiminished siphin 1.274755 48, 192, 296, 188, 38
rita (old: ritag rit) 5D rit atop gyro rit, medial segment of hex-first siphin 1.274755 64, 288, 464, 288, 50
siphin 5D small prismated hemipenteract, runcinated demipenteract, steric penteract 1.274755 80, 400, 720, 480, 82
spidatip 5D small-prismate-pentachoron atop alternate truncated-pentachoron 1.274755 40, 160, 250, 160, 32
sripaltip 5D srip atop inverted tip 1.274755 50, 190, 260, 150, 32
tepatut (alt.: tettet tuttric) 5D tepe atop tut, tepe-first wedge of siphin, (tet,tet,tut)-trigonic 1.274755 20, 58, 70, 41, 11
tetco tuttric 5D (tet,co,tut)-trigonic 1.274755 28, 96, 128, 75, 17
triphipdaw (alt.: tripalhip) 5D (trip,hip)-disphenoid, trip atop lacing-orthogonal hip 1.274755 18, 51, 61, 36, 10
tutaf (old: tutaltuttip) 5D tut alterfastegium, tut atop inverted tuttip 1.274755 36, 114, 138, 75, 17
pike 5D pentagon-icosahedron duoprism 1.275976 60, 210, 262, 135, 25
caquapin 5D celliquasiprismated penteract 1.276197 640, 2240, 2880, 1520, 242
gancpan 5D great spinocelliprismated penteract 1.276197 640, 2240, 2640, 1080, 132
getitdin 5D great tesseractitriacontidiadispenteract 1.276197 640, 2240, 2160, 760, 92
copea tuttip 5D cope atop tuttip, cope-first monostratic cap of srippip 1.284523 48, 156, 182, 90, 18
opeatuttip 5D ope atop tuttip, octatut-prism, ope-first cap of srippip 1.284523 36, 102, 110, 54, 12
srippip 5D small-rhombated-pentachoron prism 1.284523 60, 210, 250, 120, 22
tripufip (alt.: tripa shiddip) 5D tripuf prism, trip-first cap of srippip 1.284523 30, 81, 87, 45, 11
... 3D f v10o, variation of decagonal prism, hull of 10/3-prism 1.286277 20, 30, 12
cubike 6D cube-icosahedron duoprism 1.286277 96, 384, 592, 440, 162, 26
hinu 6D hin-based ursapeton 1.287166 112, 736, 1360, 1040, 348, 44
... 3D u q3o, variation of triangular prism 1.290994 6, 9, 5
retdip (old: retriddip) 4D rectified triddip 1.290994 18, 54, 51, 15
coatuttip 5D co atop tuttip, co-first cap of sarx 1.290994 36, 120, 144, 75, 17
lawx 5D lepidosphenary hexateron 1.290994 60, 240, 270, 135, 27
rawcax (old: rawvdipdopdix) 5D retrosphenary cellihexateron, (retrosphenoverted disprismatoduoprismatodiakishexateron) 1.290994 60, 240, 440, 285, 62
rawx 5D retrosphenary hexateron 1.290994 60, 240, 260, 105, 18
sarx 5D small rhombated hexateron, cantellated hexateron 1.290994 60, 240, 290, 135, 27
sripatip 5D srip atop tip, srip-first segment of sarx 1.290994 50, 190, 230, 110, 22
trathiddip 5D triangle atop thiddip, triangle-first cap of sarx 1.290994 21, 57, 64, 36, 10
hinanit 6D hin atop nit, hin-first cap of rojak 1.290994 96, 720, 1360, 1040, 348, 44
medrojak (alt.: tritith) 6D pentacontitetra-diminished rojak, tri - (triangle,triangle,hexagon)-trioprism 1.290994 162, 1134, 2754, 3078, 1638, 342
nitasiphin 6D nit atop siphin, hin-first medial segment of rojak 1.290994 160, 1360, 3040, 2600, 844, 84
ratasiphin 6D rat atop siphin, rat-first cap of rojak 1.290994 120, 960, 2240, 2000, 684, 84
ritgyt 6D rectified-tesseractic gyrotrigonism 1.290994 96, 576, 1224, 1080, 387, 51
rixaspix 6D rectified hexateron atop small prismated hexateron, rix-first cap of rojak 1.290994 75, 510, 1130, 1020, 374, 49
rojak 6D rectified icosiheptaheptacontidipeton 1.290994 216, 2160, 5040, 4320, 1350, 126
spixalsarx 6D spix atop inverted sarx 1.290994 120, 870, 1790, 1530, 554, 64
spixip 6D small-prismated-hexateron prism 1.290994 120, 600, 1110, 930, 349, 49
tithtip 6D triangle-triangle-hexagon triprism 1.290994 54, 162, 207, 144, 57, 12
pepip 5D pentagon duoprismatic prism 1.302772 50, 125, 120, 55, 12
bicont (old: ducont) 4D bitetracontoctachoron, tetracontoctachoron dual, bi-apiculated icositetrachoron, tetradisphenoidal 288-cell 1.306563 48, 336, 576, 288
trazip 3D xx xw&#q, prism of (isosceles) trapezoid 1.306704 8, 12, 6
tratut (alt.: tuttut tuttric) 5D triangle truncated-tetrahedron duoprism, (tut,tut,tut)-trigonic 1.307032 36, 90, 90, 45, 11
spil 6D small prismated heptapeton, runcinated heptapeton 1.309307 140, 840, 1610, 1295, 455, 70
... 3D u x5o, variation of pentagonal prism 1.312862 10, 15, 7
phiddip 4D pentagon hexagon duoprism 1.312862 30, 60, 41, 11
peco 5D pentagon-cuboctahedron duoprism 1.312862 60, 180, 202, 99, 19
sidpichexah 3D hyperbolic small disprismated cubic-hexagonal-tiling honeycomb, hyperbolic prismated order 6 cubical honeycomb, hyperbolic runcinated order 6 cubical honeycomb 1.313295 i
trasrip 6D (triangle,small rhombated pentachoron)-duoprism 1.316561 90, 360, 540, 390, 143, 23
... 3D 2raded (?) 1.322876
cotco 3D cuboctatruncated cuboctahedron, cubitruncated cuboctahedron 1.322876 48, 72, 20
ided 3D icosidodecadodecahedron 1.322876 60, 120, 44
raded 3D rhombidodecadodecahedron 1.322876 60, 120, 54
... 3D edge faceting raded-1-10-5-5 1.322876 30, 50, 21
ri 3D rhombicosahedron 1.322876 60, 120, 50
... 3D ri+12{10/2} (?) 1.322876
... 3D ri+12{10/4} (?) 1.322876
hacube (old: hiccube) 5D hexagon cube duoprism 1.322876 48, 120, 116, 54, 12
rittip 5D rectified-tesseract prism 1.322876 64, 224, 272, 136, 26
tepeatuttip 5D tepe atop tuttip, tetatut-prism 1.322876 32, 88, 96, 50, 12
tix (alt.: pentum) 5D truncated hexateron, pen-based tutism 1.322876 30, 75, 80, 45, 12
tutcupip 5D tuttip atop inverted tuttip, tuta-prism, medial segment of rittip 1.322876 48, 144, 164, 84, 18
bitettut (alt.: pabex gee) 6D bi - (tetrahedron, truncated tetrahedron)-duoprism, partially bi-expanded hexacontitetrapeton 1.322876 96, 432, 808, 780, 388, 80
cocube 6D cuboctahedron-cube duoprism 1.322876 96, 336, 482, 332, 120, 20
hinasiphin 6D hin atop siphin, hin-first cap of sochax 1.322876 96, 560, 1280, 1320, 588, 84
nitip 6D penteractitriacontiditeron prism 1.322876 160, 1040, 1760, 1200, 364, 44
pexhax 6D partially expanded hemihexeract 1.322876 96, 576, 1312, 1256, 488, 64
ritas 6D rit altersquarism, cyclotetra-diminished sochax, medial segment of siphina, partial Stott expansion of hax 1.322876 128, 832, 1984, 1984, 804, 100
siphina 6D siphin alterprism, medial segment of sochax 1.322876 160, 1120, 2880, 3120, 1364, 164
sochax 6D small cellated hemihexeract, stericated demihexeract, pentic hexaract, equatorial cross-section of hax-first lin 1.322876 192, 1440, 4000, 4800, 2344, 296
tettut 6D (tetrahedron,truncated-tetrahedron)-duoprism 1.322876 48, 144, 188, 136, 56, 12
bragasochax 7D brag atop sochax, 2nd subsegment of lin in hax-first orientation 1.322876 352, 4800, 17440, 23920, 14020, 3388, 298
brilalspil 7D bril atop inverted spil 1.322876 175, 1190 2800, 3150, 1834, 539, 72
brilpy 7D birectified-heptapetonal pyramid, vertex pyramid of pentacontihexahecatonicosihexaexon 1.322876 36, 245, 560, 595, 329, 98, 15
haxabrag 7D hax-first monostratic cap of lin, hax atop brag 1.322876 192, 2320, 7360, 8720, 4408, 996, 78
hept 7D hepteract, tetradecaexon, 7D measure-polytope (γ7), geozett(id) 1.322876 128, 448, 672, 560, 280, 84, 14
hidlin 7D hexadeca-diminished pentacontihexahecatonicosihexaexon 1.322876 560, 9520, 36960, 46480, 22456, 4172, 198
lin 7D pentacontihexahecatonicosihexaexon, chrysoexon, Gosset polyexon 12,3, Voronoi cell of lattice E7* 1.322876 576, 10080, 40320, 50400, 23688, 4284, 182
moarojak 7D mo-first monostratic cap of lin, mo atop rojak 1.322876 288, 3960, 13680, 16560, 8172, 1746, 128
ritgyo 7D rectified-tesseract gyro-octahedronism, 384-diminished pentacontihexahecatonicosihexaexon 1.322876 192, 1824, 5904, 7920, 4758, 1188, 80
rojaka (alt.: pabdilin, old: rojakalrojak) 7D rojak alterprism, parabidiminished lin, rojak atop alternate rojak 1.322876 432, 6480, 23040, 28080, 13500, 2538, 128
scala spil 7D scal atop spil 1.322876 245, 1890, 4690, 5425, 3150, 875, 107
sco 7D small cellated octaexon, stericated octaexon 1.322876 280, 2240, 5880, 7280, 4508, 1316, 170
spila (old: spilal spil) 7D small prismated heptapeton atop inverted small prismated heptapeton 1.322876 280, 2940, 8260, 10150, 6160, 1736, 128
srotazt 2D hyperbolic (small) rhombi-trigonal-horocyclic tiling 1.322876 i
tosquazat 2D hyperbolic truncated order 4 horocyclic tiling, hyperbolic truncated order 4 apeirogonal tiling 1.322876 i
coqroc 4D tetracontoctiquasirhombated tetracontoctachoron 1.325654 1152, 2304, 1104, 96
... 3D f3o3x, variation of cuboctahedron 1.327129 12, 24, 14
coatutu 4D expanded axially-tetrahedral ursachoron, (co,tut)-based ursulate 1.328131 36, 90, 74, 20
gacdupthix 4D small capped dipentary tetrishecatonicosahexacosichoron 1.328131 1440, 7200, 9600, 1080
gad phiddix 4D great dipentary hecatonicosadishexacosachoron 1.328131 1440, 7200, 7200, 1320
gaddaraded, gad || raded 4D great dodecahedron atop rhombidodecadodecahedron, gad-first cap of quipdohi 1.328131
gidipthi 4D great dipental trishecatonicosachoron 1.328131 1440, 7200, 4560, 360
gidpixathi 4D great dipentagonal hexacositrihecatonicosachoron 1.328131 1440, 7200, 6240, 960
gisdipthi 4D great stellated dipental trishecatonicosachoron 1.328131 1440, 7200, 4560, 360
prarsi 4D prismatorhombiretrosnub icositetrachoron 1.328131 288, 1008, 960, 240
quipdohi 4D quasiprismatodishecatonicosachoron 1.328131 1440, 7200, 7440, 2160
spidasripu 5D (spid,srip)-based ursateron 1.331369 70, 260, 350, 195, 37
jaku 7D jak-based ursaexon 1.335149 270, 2835, 8136, 10440, 6318, 1575, 128
dida raded, did || raded 4D dodecadodecahedron atop rhombidodecadodecahedron 1.336349 90, 300, 258, 56
thaquitoth 4D tesseractihexadecaquasitruncated tesseractihexadecachoron 1.338990 192, 384, 200, 32
gook 8D great octeractiocteractidiacosipentacontahexazetton 1.338990 2048, 14336, 26880, 28672, 19936, 8960, 2384, 288
quaxoke 8D quasi-exiocteracti-diacosipentacontahexazetton 1.338990 2048, 14336, 46592, 89600, 108416, 81536, 34976, 6560
odsnic 3D octadiminished snub cube, chiral 4fold dodecahedron-like barrel, vertex figure of octsnich 1.343713 16, 24, 10
snic 3D snub cube, snub cuboctahedron 1.343713 24, 60, 38
ikedip 6D icosahedron-icosahedron duoprism 1.344997 144, 720, 1380, 1224, 460, 40
ocat 2D hyperbolic order 3 octagonal tiling 1.345608 i
giphidy 4D great prismated hecatonicosadishecatonicosachoron 1.348948 7200, 18000, 10320, 1080
quippirgashi 4D quasiprismatorhombated grand stellated hecatonicosachoron 1.348948 7200, 18000, 11520, 1680
retratet (alt.: amtratet) 5D rectified/ambified tratet 1.354006 30, 120, 144, 81, 19
trarit 6D triangle - rectified-tesseract duoprism 1.354006 96, 384, 584, 432, 163, 27
naquitant 5D penteractiquasitruncated penteractitriacontaditeron 1.354911 640, 1600, 1280, 440, 52
tippip 5D truncated-pentachoron prism 1.360147 40, 100, 100, 50, 12
sril 6D small rhombated heptapeton, cantellated heptapeton 1.362770 105, 525, 805, 560, 210, 35
til 6D truncated heptapeton 1.362771 42, 126, 175, 140, 63, 14
squatut 5D square - truncated-tetrahedron duoprism 1.369306 48, 120, 116, 54, 12
siphinnip 6D small-prismated-hemipenteractic prism 1.369306 160, 880, 1840, 1680, 644, 84
suthesa 7D small terated demihepteract, hexic hepteract 1.369306 448, 4704, 17920, 31360, 27272, 10640, 1066
tetrit 7D tetrahedron - rectified-tesseract duoprism 1.369306 128, 576, 1056, 1040, 596, 190, 28
oap, 8-ap 3D octagonal antiprism 1.375549 16, 32, 18
hike 5D hexagon icosahedron duoprism 1.380039 72, 252, 312, 156, 26
coike 6D cuboctahedron-icosahedron duoprism 1.380039 144, 648, 1128, 924, 334, 34
tipped 3D hyperbolic truncated order 5 dodecahedral honeycomb 1.383373 i
sarxip 6D small-rhombated-hexateron prism 1.384437 120, 540, 820, 560, 189, 29
cytitch 3D hyperbolic x3x3o3o4*a tesselation, cyclotruncated tetrahedral-cubic honeycomb 1.391625 i
spo 7D small prismated octaexon, runcinated octaexon 1.391941 280, 2100, 4760, 4830, 2548, 756, 100
toc 7D truncated octaexon 1.391941 56, 196, 336, 350, 224, 84, 16
... 3D 2sirco (?) 1.398966
escu, J19 3D elongated square cupola, diminished small rhombicuboctahedron 1.398966 20, 36, 18
esquigybcu, J37 (alt.: pirco) 3D elongated square gyrobicupola, pseudorhombicuboctahedron, Miller's solid 1.398966 24, 48, 26
op 3D octagonal prism, bidiminished small rhombicuboctahedron 1.398966 16, 24, 10
... 3D q3x3o, variation of truncated tetrahedron, triangle-snub small rhombicuboctahedron 1.398966 12, 18, 8
rahrie 3D rhombihyperhombicosicosahedron, compound of 5 socco 1.398966
rasher 3D rhombisnub hyperhombihedron, compound of 5 sroh 1.398966
rasseri 3D rhombisnub rhombicosicoahedron, compound of 5 sirco 1.398966
... 3D β3o4β (?) 1.398966 24, 60, 32
sirco (alt.: esquobcu) 3D small rhombicuboctahedron, expanded octahedron, expanded cube, elongated square-orthobicupola 1.398966 24, 48, 26
socco 3D small cubicuboctahedron 1.398966 24, 48, 20
squacu, J4 3D square cupola 1.398966 12, 20, 10
sroh 3D small rhombihexahedron 1.398966 24, 48, 18
... 3D sroh+8{6/2} (?) 1.398966
tepcus 3D tetrapod-cut-sirco 1.398966 24, 40, 18
topfu 3D two-op-fusion 1.398966 24, 40, 16
... 3D w x4o, variation of cube 1.398966 8, 12, 6
... 3D 2doe (?) 1.401259
... 3D 3doe (?) 1.401259
... 3D biform compound of 5 dodecahedra 1.401259
... 3D 6doe (?) 1.401259
... 3D cubically-diminished dodecahedron, bi-tetrahedrally-diminished dodecahedron 1.401259 12, 30, 20
ditti 3D ditrigonal icosahedron, vertex figure of idhi 1.401259 20, 60, 20
doe 3D dodecahedron, cosmohedron, Goldberg polyhedron GP(1,0) 1.401259 20, 30, 12
teddoe 3D tetrahedrally diminished dodecahedron, vertex figure of pd{3,5,3} 1.401259 16, 30, 16
... 3D x5/2β5o (?) 1.401259
gaqrit 4D great quasirhombated tesseract 1.401594 192, 384, 248, 56
... 4D tricupe variant wx xx3oq&#q 1.402029039 18, 39, 31, 10
srotehat 2D hyperbolic (small) rhombisquarehexagonal tiling 1.405256 i
starodip 4D pentagram - octagon duoprism 1.408368 40, 80, 53, 13
oaf, K-4.58 4D octagonal antifastegium, octagon - oap wedge, {8} || gyro op 1.409438 24, 64, 59, 19
... 3D u x6o, variation of hexagonal prism 1.414214 12, 18, 8
... 4D 2affic (?) 1.414214
... 4D 2deca (?) 1.414214
... 4D 2dittafady (?) 1.414214
afdec 4D antifrustic distetracontoctachoron 1.414214 288, 1152, 816, 96
affic 4D antifrustary tetracontoctachoron 1.414214
affip 4D antifustric prismatochoron, compound of 16 hiddip 1.414214
cotcope 4D cuboctatruncated-cuboctahedron prism, cubitruncated-cuboctahedron prism 1.414214 96, 192, 112, 22
dard tipady 4D diretroditetrahedronary prismatodishecatonicosachoron 1.414214 600, 3600, 6480, 960
datap 4D ditetrahedronary prismatochoron, compound of 100 hiddip 1.414214
datcathi 4D ditetrahedronary coincidic trishecatonicosachoron 1.414214 600, 7200, 5280, 360
dattady 4D ditetrahedronary dishecatonicosachoron 1.414214 600, 3600, 2640, 240
dattathi 4D ditetrahedronary trishecatonicosachoron 1.414214 600, 3600, 2880, 360
deca 4D decachoron, bitruncated pentachoron, equatorial cross-section of (vertex first) q-pent, equatorial cross-section of srip-first sibrid, equatorial cross-section of pen-first rin 1.414214 30, 60, 40, 10
... 4D did atop 3doe (?) 1.414214
didadoe 4D did atop doe 1.414214 50, 150, 126, 26
dittadphi 4D ditetrahedronary disprismatohecatonicosachoron 1.414214 600, 3600, 6480, 1560
dittafady 4D ditetrahedrofissary dishecatonicosachoron 1.414214 600, 3600, 4080, 240
geedatepthi 4D great exoditetrahedrary prismatotrishecatonicosachoron 1.414214 2400, 10800, 7920, 1080
gefirdit xethi 4D great exofissary retroditetrahedronary hexacositrishecatonicosachoron 1.414214 2400, 10800, 7680, 960
gefridit xethi 4D great exofissary retroinverted ditetrahedronary hexacositrishecatonicosachoron 1.414214 2400, 10800, 7680, 960
gidard tipady 4D great diretroditetrahedronary prismatodishecatonicosachoron 1.414214 600, 3600, 6480, 960
giddatady 4D great ditetrahedronary dishecatonicosachoron 1.414214 600, 3600, 2640, 240
gikviphado 4D great skewverted prismatohexadecadisoctachoron 1.414214 192, 576, 416, 56
girfaddic 4D great retrofrustic distetracontoctachoron 1.414214 288, 1152, 816, 96
goccoa cotco 4D great cubicuboctahedron atop cubotruncated cuboctahedron 1.414214 72, 168, 112, 22
grad tathi 4D great retroditetrahedronary trishecatonicosachoron 1.414214 600, 3600, 5280, 360
gridtathi 4D great retroinverted ditetrahedronary trishecatonicosachoron 1.414214 600, 3600, 5280, 360
hiddip 4D hexagonal-hexagonal duoprism, Voronoi cell of lattice A2×A2 1.414214 36, 72, 48, 12
ididdip 4D icosidodecadodecahedron prism 1.414214 120, 300, 208, 46
kavahto 4D skewverted hexadecatrisoctachoron 1.414214 192, 576, 336, 40
kaviphdit 4D skewverted prismatohexadecadistesseract 1.414214 192, 576, 432, 64
mardatathi 4D medial retroditetrahedral triakishecatonicosachoron 1.414214 600, 3600, 4080, 360
ostodip 4D octagon-octagram duoprism 1.414214 64, 128, 80, 16
pabdi skiviphado 4D parabidiminished small skewverted prismatohexadecadisoctachoron 1.414214 192, 576, 416, 56
quadippady 4D quasidisprismatodishecatonicosachoron, Unholey Terror 1.414214 2400, 7200, 6480, 1680
radatathi 4D retroditetrahedronary dishecatonicosachoron 1.414214 600, 3600, 2880, 360
radiddip (old: radedip) 4D rhombidodecadodecahedron prism 1.414214 120, 300, 228, 56
rafficdi 4D retrofrustic tetracontoctadisicositetrachoron 1.414214 288, 1152, 960, 96
ridatathi 4D retroinverted ditetrahedral triakishecatonicosachoron 1.414214 600, 3600, 4080, 360
seedatepthi 4D small exoditetrahedrary prismatotrishecatonicosachoron 1.414214 2400, 10800, 7920, 1080
skiviphado 4D small skewverted prismatohexadecadisoctachoron 1.414214 192, 576, 416, 56
teppix (old: dattix) 4D tripesic hexacosachoron, compound of 60 deca 1.414214
triddap 4D triangle duoantiprism, hemiated hiddip 1.414214 18, 72, 84, 30
firn 5D facetorectified penteract 1.414214 80, 320, 480, 320, 80
haco (old: hicco) 5D hexagon cuboctahedron duoprism 1.414214 72, 216, 240, 114, 20
hatricu 5D hexagon-tricu duoprism, trip-first half of haco 1.414214 54, 144, 147, 69, 14
octatuttip (alt.: octtut tuttric) 5D oct atop tuttip, (oct,tut,tut)-trigonic 1.414214 30, 84, 90, 45, 11
pennatip 5D pen atop tip, pen-first cap of rin 1.414214 25, 70, 80, 45, 12
rabird 5D retrobirhombidodecateron 1.414214 90, 360, 360, 120, 18
rin 5D rectified penteract, equatorial cross-section of nit-first brox 1.414214 80, 320, 400, 200, 42
sibrid (old: sadrid) 5D small birhombated dodecateron, bicantellated hexateron, equatorial cross-section of scad-first trim, equatorial cross-section of rix-first brox 1.414214 90, 360, 420, 180, 32
sripadeca 5D srip atop deca, srip-first half of sibrid 1.414214 60, 210, 240, 110, 22
tin 5D triacontadipenteract 1.414214 80, 320, 480, 320, 42
tipadeca 5D tip atop deca, 2nd segment of rin in pen-first orientation 1.414214 50, 160, 190, 100, 22
brox (old: drax) 6D birectified hexeract, Gosset polytope 03,1,1, equatorial cross-section of brag-first sez 1.414214 240, 1920, 3200, 2080, 636, 76
codibrox 6D tetracontaocta-diminished birectified hexeract 1.414214 192, 1152, 2336, 2080, 828, 124
codip 6D cuboctahedron-cuboctahedron duoprism 1.414214 144, 576, 912, 696, 244, 28
nitarin 6D nit atop rin, nit-first rotunda of brox 1.414214 160, 1120, 1840, 1200, 364, 44
rixasarx 6D rectified hexateron atop small rhombated hexateron, rix-first cap of brox 1.414214 75, 420, 670, 470, 174, 29
sarxasibrid 6D small rhombated hexateron atop small birhombated dodecateron, rix-first subsegment of brox 1.414214 150, 960, 1610, 1125, 374, 49
sibpof 6D small biprismated tetradecapeton, biruncinated heptapeton 1.414214 210, 1260, 2520, 2100, 716, 84
squarit 6D square - rectified-tesseract duoprism 1.414214 128, 512, 768, 544, 188, 28
tixip 6D truncated-hexateron prism 1.414214 60, 180, 235, 170, 69, 14
trim (old: cacam, tram, mak) 6D trirectified pentacontitetrapeton, (centrocellated pentacontitetrapeton, pentacontitetraheptacontidipeton) 1.414214 270, 2160, 6480, 8640, 4608, 558
bragabrox 7D brag atop brox, brag-first rotunda of sez 1.414214 400, 4320, 9440, 8400, 3592, 788, 78
ranq 7D rectified hecatonicosihexapentacosiheptacontihexaexon, equatorial cross-section of laq-first bay 1.414214 756, 12096, 44352, 70560, 48384, 11592, 758
ritgyco 7D rectified-tesseractic gyro-cuboctahedronism 1.414214 384, 3840, 12864, 18528, 12396, 3624, 350
sabach 7D small bicellated hexadecaexon, bistericated octaexon 1.414214 420, 3360, 9520, 12600, 7952, 2128, 198
saro 7D small rhombated octaexon, cantellated octaexon 1.414214 168, 1008, 1876, 1750, 980, 308, 44
sez (old: shio) 7D hepteractihecatonicosoctaexon, equatorial cross-section of barz-first tark 1.414214 560, 6720, 15680, 14560, 6328, 1428, 142
trasarx 7D triangle-rsarxix duoprism 1.414214 180, 900, 1650, 1515, 776, 219, 30
bay 8D diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, argyrozetton, Gosset polyzetton 24,1 1.414214 2160, 69120, 483840, 1209600, 1209600, 544320, 144960, 17520
hesapy 8D hemihepteractic pyramid, vertex pyramid of bay 1.414214 65, 736, 2912, 5040, 4424, 2156, 610, 79
icodip 8D icositetrachoron duoprism 1.414214 576, 4608, 13824, 19584, 13872, 4800, 768, 48
laqalin 8D pentacontihexapentacosiheptacontihexaexon atop pentacontihexahecatonicosihexaexon, 21,3 atop 12,3 , laq-first cap of bay, 21,3 -first cap of 21,4 1.414214 702, 16128, 92736, 201600, 191016, 87192, 23242, 2776
linaranq 8D pentacontihexahecatonicosihexaexon atop rectified pentacontihexapentacosiheptacontihexaexon, laq-first subsegment of bay 1.414214 1332, 34272, 205632, 463680, 445032, 194796, 45544, 4792
octo 8D octeract, hexadecazetton, 8D measure-polytope (γ8), geoyott(id) 1.414214 256, 1024, 1792, 1792, 1120, 448, 112, 16
sobteb 8D small biterated bi-enneazetton, bipentellated enneazetton 1.414214 756, 7560, 27720, 50400, 49056, 24696, 5562, 438
spuho 8D small petated hemiocteract 1.414214 1024, 14336, 69888, 161280, 203392, 140672, 45728, 3744
tark 8D trirectified diacosipentacontahexazetton 1.414214 1120, 17920, 53760, 71680, 48384, 16576, 3184, 272
tene 8D truncated enneazetton 1.414214 72, 288, 588, 756, 630, 336, 108, 18
tarv 9D trirectified pentacosidodecayotton 1.414214 2016, 40320, 147840, 262080, 262080, 145152, 42144, 7056, 530
taztrat 2D hyperbolic truncated order ∞ trigonal tiling 1.414214 i
hexah 3D hyperbolic order 3 hexagonal-tiling honeycomb 1.414214 i
tocth 3D hyperbolic truncated (order 4) octahedral honeycomb 1.414214 i
... 4D truncated hyperbolic order 4 icositetrachoral tetracomb 1.414214 i
... 5D hyperbolic x3x4o3o3o4o pentacomb 1.414214 i
..., 03,1,1,1 6D hyperbolic Gosset hexacomb 03,1,1,1 1.414214 i
..., 26,1 9D hyperbolic Gosset enneacomb 26,1 1.414214 i
gloptin 5D great lapidoprismatotruncated penteract 1.416813 960, 3260, 3440, 1280, 132
quiptin 5D quasiprismatotruncated penteract 1.416813 960, 3360, 3760, 1560, 202
pentarin 6D tesseract atop rectified tesseract 1.418705 112, 560, 880, 640, 252, 44
rih 3D hyperbolic rectified order 3 icosahedral honeycomb 1.427535 i
... 3D hyperbolic o3x3x4x4*b tesselation 1.428194 i
todip, K-4.59 4D triangle - octagon duoprism, octagon - op wedge 1.428440 24, 48, 35, 11
ritch 3D hyperbolic x3o3x3o4*a tesselation, rectified tetrahedral-cubic honeycomb 1.429970 i
teday 9D truncated decayotton 1.431782 90, 405, 960, 1470, 1512, 1050, 480, 135, 20
quactix 6D quasicellitruncated hexeract 1.431870 3840, 19200, 34080, 25440, 7388, 668
raded adoe 4D raded atop 3doe 1.432173 120, 330, 258, 56
raded adoe 4D rhombidodecadodecahedron atop dodecahedron 1.432173 80, 240, 126, 56
dotu 6D dot-based ursapeton 1.432173 130, 650, 990, 660, 224, 34
sniccup, K-4.60 4D snub-cube prism, snub-cuboctahedron prism 1.433724 48, 144, 136, 40
... 3D x3q3o, variation of truncated tetrahedron 1.442951 12, 18, 8
otet 5D octagon-tetrahedron duoprism, octagon duofastegium 1.442951 32, 80, 84, 46, 12
tu 10D truncated hendecaxennon, truncated undecaxennon 1.445998 110, 550, 1485, 2640, 3234, 2772, 1650, 660, 165, 22
sittitetrat 2D hyperbolic shieldotritetragonal tiling, hyperbolic ditrigonary tritetratrigonal tiling, hyperbolic cantic octagonal tiling 1.446026 i
coaescu, co || escu, K-4.62 4D cuboctahedron atop elongated square cupola 1.447009 32, 100, 92, 24
coaop, co || op, K-4.63 4D cuboctahedron atop octagonal-prism 1.447009 28, 80, 72, 20
coasirco, co || sirco, K-4.61 4D cuboctahedron atop small rhombicuboctahedron 1.447009 36, 120, 112, 28
squaw, K-4.64, {8} || squap 4D antitetrawedge, octagon - square-antiprismatic wedge, square gyrobicupolaic ring, {8} || squap, {4} || gyrated squacu 1.447009 16, 30, 35, 11
open 6D octagon-pentachoron duoprism 1.451588 40, 120, 165, 130, 58, 13
srillip 7D small-rhombated-heptapeton prism 1.451600 210, 1155, 2135, 1925, 980, 280, 37
spene 8D small prismated enneazetton, runcinated enneazetton 1.452966 504, 4536, 11844, 14616, 10374, 4620, 1188, 138
srene 8D small rhombated enneazetton, cantellated enneazetton 1.452966 252, 1764, 3864, 4536, 3402, 1596, 432, 54
... 2D hyperbolic omnitruncated tiling of family o3o4o5*a 1.456608 i
ohix 7D octagon - hexateron duoprism 1.457317 48, 168, 286, 295, 188, 71, 14
seside 3D small snub icosicosidodecahedron, snub disicosidodecahedron, holosnub icosahedron, hastur 1.458190 60, 180, 112
haquitco 5D hexagon - quasitruncated-cuboctahedron duoprism 1.459000 288, 720, 636, 234, 32
trasnic 5D triangle - snub-cube duoprism 1.462497 72, 252, 318, 177, 41
oappip, K-4.65 4D octagonal-antiprism prism 1.463603 32, 80, 68, 20
gixhidy 4D great hexacosihecatonicosadishecatonicosachoron 1.464888 2400, 7200, 5280, 960
gohihix 4D great hecatonicosihecatonicosihexacosachoron 1.464888 2400, 7200, 5040, 540
sritrah 3D hyperbolic (small) rhombated triangular-tiling honeycomb 1.467890 i
... 3D Shephard's 5-generalised cube, complex polyhedron x5-4-o2-3-o2 , γ5 3 1.473370 125, 75, 15
pettip 6D pentagon-pentagon-pentagon-triprism 1.473370 125, 375, 450, 275, 90, 15
... 3D q x8o, variation of octagonal prism 1.485633 16, 24, 10
cubasirco, cube || sirco, K-4.71 4D cube atop small rhombicuboctahedron, cubical cap of small disprismatotesseractihexadecachoron 1.485633 32, 84, 80, 28
dippit 4D disprismatotesseract 1.485633 64, 192, 232, 64
escupe, K-4.68 4D elongated-square-cupola prism 1.485633 40, 92, 72, 20
iquipadah 4D inverted quasiprismatodishexadecachoron 1.485633 64, 192, 200, 72
ondip 4D octagonal spinoduoprism 1.485633 128, 512, 640, 256
shafipto 4D small hexadecafaceted prismatotesseractioctachoron 1.485633 64, 192, 208, 48
... 4D shafipto+32tet (?) 1.485633
sidpith 4D small disprismatotesseractihexadecachoron, runcinated tesseract, small prismated tesseract 1.485633 64, 192, 208, 80
sircope, K-4.66 4D small-rhombicuboctahedron prism, medial (cube-first) subsegment of sidpith 1.485633 48, 120, 100, 28
sistople (old: stodop) 4D square-octagram plus-prism, octagram diorthoprism, compound of 2 sistodip 1.485633
snappoth 4D small spinoprismatotesseractihexadecachoron 1.485633 64, 192, 184, 56
soccope 4D small-cubicuboctahedron prism 1.485633 48, 120, 88, 22
sodip, K-4.70 4D square - octagon duoprism 1.485633 32, 64, 44, 12
sople (old: odop) 4D square-octagon plus-prism, octagonal diorthoprism, compound of 2 sodip 1.485633
squacupe, K-4.69 4D square-cupola prism, cube atop octagonal prism 1.485633 24, 52, 40, 12
stefacoth 4D small tesseractifaceted cubitesseractihexadecachoron 1.485633 64, 192, 208, 48
steth 4D small tesseractitesseractihexadecachoron 1.485633 64, 192, 136, 32
owoct 5D octagon octahedron duoprism 1.485633 48, 144, 166, 84, 16
squicuf, K-4.73 4D square cupofastegium, octagon - cube wedge of sidpith, square orthobicupolaic ring, {8} || cube, {4} || squacu, 1/4-luna of quawros 1.485634 16, 36, 31, 11
dope, K-4.74 4D dodecahedron prism 1.487792 40, 80, 54, 14
gibtadin 5D great biprismatotriacontadiadispenteract 1.488108 960, 2880, 2720, 1000, 132
quiprin 5D quasiprismatorhombated penteract 1.488108 960, 2880, 2960, 1240, 202
gektabcadont (old: giktabacadint) 5D great skewtrigonary biprismatocellidispenteractitriacontiditeron 1.5 640, 2880, 3920, 1920, 172
hahip (old: hiddippip) 5D hexagon hexagonal-prism duoprism, hexagon-hexagon duoprismatic prism 1.5 72, 180, 168, 72, 14
skatbacadint 5D small skewtrigonary biprismatocellidispenteractitriacontiditeron 1.5 640, 2880, 3920, 1920, 172
rinnip 6D rectified-penteract prism 1.5 160, 720, 1120, 800, 284, 44
enne 9D enneract, octadecayotton, 9D measure-polytope (γ9), geoxenn(id) 1.5 512, 2304, 4608, 5376, 4032, 2016, 672, 144, 18
..., 14,3 8D hyperbolic Gosset octacomb 14,3 1.5 i
rita sidpith, rit || sidpith 5D rectified-tesseract atop small-disprismated-tesseractihexadecachoron 1.502958 96, 480, 776, 472, 82
sirco acope 5D small-rhombicuboctahedron atop cuboctahedron-prism 1.502958 48, 204, 270, 141, 29
birapech 3D hyperbolic birectified alternated order-5 cubic honeycomb, hyperbolic runcic order-5 cubic honeycomb 1.507495 i
trasirco 5D triangle small-rhombicuboctahedron duoprism 1.513420 72, 216, 246, 129, 29
trasocco 5D triangle - small-cubicuboctahedron duoprism 1.513420 72, 216, 228, 111, 23
grawv hixhi 4D great retrosphenoverted hecatonicosihexacosihecatonicosachoron 1.513868 3600, 10800, 6960, 840
sirgaghi 4D small rhombated great grand hecatonicosachoron 1.513868 3600, 10800, 8160, 1440
sripadecu 5D (srip,deca)-based ursateron 1.514954 90, 300, 340, 155, 27
tradoe 5D triangle - dodecahedron duoprism 1.515539 60, 150, 146, 69, 15
squasnic 5D square - snub-cube duoprism 1.518409 96, 336, 416, 216, 42
tetsocco 6D (tet,socco)-duoprism 1.527124 96, 336, 464, 340, 134, 24
retisdip (alt.: amtisdip) 4D rectified/ambified tisdip 1.527525 24, 72, 67, 19
tetdoe 6D tetrahedron-dodecahedron duoprism 1.529224 80, 240, 308, 216, 84, 16
soccopen 7D (socco,pen)-duoprism 1.535287 120, 480, 820, 805, 474, 158, 25
... 4D cubiswirlic heptacontidichoron, twelvefold dissected cubic polytwister, twelvefold dissected cubiter 1.538189 96, 384, 360, 72
... 3D u3o3x, variation of cuboctahedron, Waterman polyhedron number 3 wrt. face-centered cubic lattice A3 centered at a shallow hole 1.541104 12, 24, 14
hatut (old: hittut) 5D hexagon truncatet-tetrahedron duoprism 1.541104 72, 180, 168, 72, 14
sesidip 4D small-snub-icosicosidodecahedron prism 1.541531 120, 420, 404, 114
sripped 3D hyperbolic (small) rhombated order 5 dodecahedral honeycomb, hyperbolic cantelated order 5 dodecahedral honeycomb 1.546658 i
topepat 2D hyperbolic truncated order 5 pentagonal tiling 1.548400 i
toct 2D hyperbolic trioctagonal tiling 1.553774 i
cyticth 3D hyperbolic x3o3o3x4*a tesselation, cyclotruncated cubic-tetrahedral honeycomb 1.553774 i
dish 3D hyperbolic dissquare-tiling honeycomb, hyperbolic bitruncated order-4 square tiling honeycomb 1.553774 i
... 3D hyperbolic x4o3x3x3*b tesselation 1.553774 i
bittix (old: dittox) 5D bitruncated hexateron 1.554563 60, 150, 140, 60, 12
sabril 6D small birhombated heptapeton, bicantellated heptapeton 1.558387 210, 1050, 1540, 980, 329, 49
podip 4D pentagon - octagon duoprism 1.559075 40, 80, 53, 13
sibpo 7D small biprismated octaexon, biruncinated octaexon 1.561250 560, 4200, 10080, 10640, 5460, 1400, 142
ocube 5D octagon - cube duoprism 1.567516 64, 160, 152, 68, 14
scant 5D small cellated penteractitriacontiditeron, stericated penteract, stericated pentacross 1.567516 160, 640, 1040, 800, 242
sidpithip 5D small-disprismatotesseractihexadecachoron prism, runcinated-tesseract prism, small-prismated-tesseract prism, central segment of scant 1.567516 128, 448, 608, 368, 82
sinnont 5D small penteractipenteractitriacontiditeron 1.567516 160, 640, 640, 280, 52
squasirco 5D square - small-rhombicuboctahedron duoprism 1.567516 96, 288, 320, 156, 30
squicuffip 5D squicuf prism, tes atop op 1.567516 32, 88, 98, 53, 13
stethip 5D small-tesseractitesseractihexadecachoron prism 1.567516 128, 448, 464, 200, 34
squadoe 5D square-dodecahedron duoprism 1.569562 80, 200, 188, 82, 16
octdoe 6D octahedron-dodecahedron duoprism 1.569562 120, 420, 592, 410, 138, 20
pabditoe 3D parabidiminished truncated octahedron 1.581139 24, 36, 14
snit 3D pyritohedron, pyritosnub tetrahedron, vertex alternated toe 1.581139 12, 30, 20
tithah 3D truncated tetrahemihexahedron 1.581139 24, 36, 13
toe (alt.: gratet) 3D truncated octahedron, omnitruncated tetrahedron, great rhombitetratetrahedron, Voronoi cell of body-centered cubic (bcc) lattice, Kelvin's tetrakaidecahedron, Waterman polyhedron number 10 wrt. face-centered cubic lattice A3 centered at a lattice point, permutohedron of 4 elements, equatorial cross-section of oct-first thex 1.581139 24, 36, 14
... 3D x3β4o (?) 1.581139 24, 48, 20
... 4D 2thex (?) 1.581139
... 4D 2titho (?) 1.581139
octum 4D octahedron-first rotunda of truncated hexadecachoron, oct-based tutsatope, oct-based tutism 1.581139 36, 78, 58, 16
thex 4D truncated hexadecachoron, cantic tesseract, equatorial cross-section of hex-first tot 1.581139 48, 120, 96, 24
titho 4D truncated tesseractihemioctachoron 1.581139 48, 120, 88, 20
hextum 5D hex-based tutsatope, hex-based tutism, hex-first rotunda of tot, truncation of hexpy 1.581139 64, 200, 248, 136, 26
tot 5D truncated triacontiditeron, truncated pentacross, equatorial cross-section of tac-first tag 1.581139 80, 280, 400, 240, 42
bittixa (old: bittixalbittix) 6D bitruncated-hexateron alterprism, bitruncated-hexateron atop inverted bitruncated-hexateron, equatorial segment of rectified hexeract 1.581139 120, 480, 730, 540, 204, 34
cakix 6D celliskewed hexeract 1.581139 1920, 11520, 23040, 21120, 8048, 548
forx 6D facetorectified hexeract 1.581139 192, 960, 1920, 1920, 960, 192
rackix 6D retrocelliskewed hexeract 1.581139 1920, 11520, 23040, 21120, 8048, 548
rax 6D rectified hexeract, rectified dodecapeton, equatorial cross-section of brox-first bersa 1.581139 192, 960, 1520, 1120, 444, 76
shihtip 6D square-hexagon-hexagon triprism 1.581139 144, 432, 516, 312, 100, 16
tag 6D truncated hexacontitetrapeton, equatorial cross-section of gee-first taz 1.581139 120, 540, 1120, 1200, 576, 76
bersa (old: dars) 7D birectified hepteract, Gosset polytope 04,1,1 1.581139 672, 6720, 13440, 11760, 5656, 1428, 142
corit 7D cuboctahedron - rectified-tesseract duoprism 1.581139 384, 1920, 3808, 3776, 1916, 448, 38
taz 7D truncated hecatonicosoctaexon, truncated heptacross, equatorial cross-section of zee-first tek 1.581139 168, 924, 2520, 3920, 3360, 1344, 142
tek 8D truncated diacosipentacontahexazetton, truncated octacross, equatorial cross-section of ek-first tiv 1.581139 224, 1456, 4928, 10080, 12544, 8960, 3072, 272
tro 8D trirectified octeract, trirectified hexadecazetton 1.581139 1792, 26880, 71680, 80640, 47712, 16576, 3184, 272
tiv 9D truncated pentacosidodecayotton, truncated enneacross, equatorial cross-section of vee-first take 1.581139 288, 2160, 8736, 22176, 36288, 37632, 23040, 6912, 530
deker 10D dekeract, icosaxennon, 10D measure-polytope (γ10), geodak(id) 1.581139 1024, 5120, 11520, 15360, 13440, 8064, 3360, 960, 180, 20
take 10D truncated chilliaicositetraxennon, truncated decacross 1.581139 360, 3060, 14400, 43680, 88704, 120960, 107520, 57600, 15360, 1044
gaquidapixhi 4D great quasidisprismatohexacosihecatonicosachoron 1.581630 14400, 28800, 17040, 2640
sircoatoe, sirco || toe, K-4.75 4D small rhombicuboctahedron atop truncated octahedron 1.582890 48, 132, 112, 28
toa sircope 5D truncated-octahedron atop small-rhombicuboctahedron-prism 1.583946 72, 252, 306, 153, 29
grawv hidy 4D great retrosphenoverted hecatonicosadishecatonicosachoron 1.589926 3600, 10800, 6000, 360
sirgashi 4D small rhombated grand stellated hecatonicosachoron 1.589926 3600, 10800, 7200, 960
trasteth 6D (triangle,steth)-duoprism 1.593876 192, 768, 1048, 696, 235, 35
tradope 6D triangle-dodecahedron duoprismatic prism 1.595888 120, 360, 442, 284, 99, 17
tucoh 3D hyperbolic x3x4x3o4*a tesselation, truncated cubic-octahedral honeycomb 1.599084 i
... 3D hyperbolic x3x3x3o5*a tesselation 1.601395 i
tetsteth 7D (tet,steth)-duoprism 1.606894 256, 1152, 1952, 1776, 932, 270, 36
diquitdi 4D disicositetraquasitruncated disicositetrachoron 1.608038 576, 1440, 816, 96
suti 4D small tetrakisicositetrachoron 1.608038 576, 1440, 960, 96
thaquitpath 4D tesseractihexadecaquasitruncated prismatotesseractihexadecachoron 1.608038 384, 768, 416, 56
... 4D 2prip (?) 1.612452
coatotum 4D bistratic co-cap of prip, tut-diminished prip, Stott expansion of tip, (co,toe)-based tutsachoron, (co,toe)-based tutism 1.612452 48, 108, 80, 20
gyprip 4D gyrated prip 1.612452 60, 150, 124, 34
pittip 4D prismatotriakispentachoron 1.612452 60, 150, 110, 25
prip 4D prismatorhombated pentachoron, runcitruncated pentachoron 1.612452 60, 150, 120, 30
ripdip 4D rhombiprismato dispentachoron 1.612452 60, 150, 100, 20
tutatoe, tut || toe, K-4.76 4D truncated tetrahedron atop truncated octahedron, truncated-tetrahedral cap of prismatorhombated pentachoron, tetrahedral canticupola 1.612452 36, 78, 58, 16
oike 5D octagon-icosahedron duoprism 1.616049 96, 336, 412, 198, 28
... 3D 2id (?) 1.618034
... 3D 2id+40{3} (?) 1.618034
... 3D 2seihid (?) 1.618034
... 3D 2sidhid (?) 1.618034
id 3D icosidodecahedron, rectified icosahedron, rectified dodecahedron, equatorial cross-section of vertex-first ex 1.618034 30, 60, 32
... 3D id+seihid+sidhid (?) 1.618034
... 3D icosidodecahedron faceting 1.618034 30, 120, 62
... 3D Holosnub icosidodecahedron 1.618034 30, 120, 62
pero, J6 3D pentagonal rotunda, half of icosidodecahedron 1.618034 20, 35, 17
pobro, J34 3D pentagonal orthobirotunda 1.618034 30, 60, 32
pysnic 3D pyritosnub cube, pyritohedral sirco variant, hexadiminished id 1.618034 24, 48, 26
seihid 3D small icosihemidodecahedron 1.618034 30, 60, 26
sidhid 3D small dodecahemidodecahedron 1.618034 30, 60, 18
tepdid 3D tripentadiminished icosidodecahedron 1.618034 15, 30, 17
... 3D x3(-x)5f, variation of grid 1.618034 120, 180, 62
... 4D 1/10-luna of hexacosachoron 1.618034 31, 100, 113, 44
... 4D 2ex (?) 1.618034
... 4D 2ex+fix (?) 1.618034
... 4D 2fix (?) 1.618034
... 4D 2gahi (?) 1.618034
... 4D 2gohi (?) 1.618034
... 4D 2/10-luna of hexacosachoron 1.618034 42, 171, 233, 104
... 4D 3doe-1pap-10mibdi-10teddi-diminished ex 1.618034
... 4D 3ex+2fix+gaghi (?) 1.618034
... 4D 3ex+fix (?) 1.618034
... 4D 3/10-luna of hexacosachoron 1.618034 53, 242, 353, 164
... 4D tetracontadisdiminished ex 1.618034 78, 276, 300, 102
... 4D 4/10-luna of hexacosachoron 1.618034 64, 313, 473, 224
... 4D outer pentadiminished 2/10-luna of hexacosachoron 1.618034 37, 116, 113, 34
arsted diddidex 4D around-symmetrical tridiminishing of (axial) duo-disdodeca-icosa-diminished hexacosachoron 1.618034 53, 129, 100, 24
bicypdex (alt.: bicypaugap) 4D bi-cyclopentadiminished hexacosachoron, bi-cyclopentaaugmented great antiprism 1.618034 110, 600, 900, 410
bidex 4D bi-icositetradiminished hexacosachoron 1.618034 72, 216, 192, 48
biscex 4D bistratic vertex-first cap of hexacosachoron 1.618034 33, 132, 182, 83
cydadex 4D cyclical decadiminishing of ex 1.618034 110, 610, 960, 460
cythdex 4D cyclical triangularily-hexagonally diminished hexacosachoron 1.618034 75, 306, 366, 135
dexdap 4D dodecahedral extended double antiprism 1.618034 100, 500, 720, 220
... 4D diminished 1/10-luna of hexacosachoron 1.618034 30, 90, 93, 33
... 4D mono-diminished vertex-first rotunda of hexacosachoron 1.618034 74, 372, 562, 264
disti 4D disnub tetrakisicositetrachoron 1.618034
ditusna 4D disicosahedronary tetrasnubbachoron, compound of 20 ex in rahi army, compound of 2 kidisna 1.618034
doaid, doe || id, K-4.77 4D dodecahedron atop icosidodecahedron, dodecahedral cupola 1.618034 50, 150, 134, 34
..., doe || 6-dim-id || f-ike || doe 4D axially-pyritohedral (2,24,12,6)-diminishing of ex 1.618034 76, 300, 356, 132
... 4D ex+fix (?) 1.618034
... 4D ex+gohi+120id (?) 1.618034
ex, pT 4D hexacosachoron, 600-cell, hydrochoron, tetraplex, polytetrahedron 1.618034 120, 720, 1200, 600
... 4D fix+gahi+120id (?) 1.618034
fix, pI 4D icosahedral hecatonicosachoron, faceted hexacosichoron, polyicosahedron 1.618034 120, 720, 1200, 120
... 4D triacontapenta-diminished hexacosachoron, fooo5ofxo xofx5oxox&#zx 1.618034 85, 335, 360, 110
gadadoe 4D great dodecahedron atop dodecahedron 1.618034 32, 120, 142, 44
gadpy 4D great-dodecahedral pyramid, vertex cap of fix 1.618034 13, 42, 42, 13
... 4D gahi+gohi (?) 1.618034
gahi, apD 4D grand hecatonicosachoron, aggrandized polydodecahedron 1.618034 120, 720, 720, 120
gap 4D great antiprism, grand antiprism, pentagonal double antiprismoid (but not: great duoantiprism), bicyclical decadiminishing of ex 1.618034 100, 500, 720, 320
gohi, gpD 4D great hecatonicosachoron, greatened polydodecahedron 1.618034 120, 720, 720, 120
hexdex 4D hexadecadiminished hexacosachoron 1.618034 104, 528, 716, 296
hoddated ex 4D (shallow-)hexa-octa-diminished deep-tetra-diminished hexacosachoron 1.618034 54, 138, 112, 28
... 4D (0,0,20,0,0)-diminished vertex-first-rotunda of ex, icosi-diminished vertex-first-rotunda of ex, mono-augmented axially-icosahedral ursachoron ofxo3xooo5oooo&#xt 1.618034 55, 174, 172, 53
idimex 4D spid-diminished ex, icosidiminished ex 1.618034 100, 480, 600, 220
ikadoaid 4D (1,0,0,12,0)-diminished vertex-first-rotunda of ex, trideca-diminished vertex-first rotunda of hexacosachoron, ike atop (pseudo) doe atop id 1.618034 62, 240, 262, 84
ikadoe (alt.: ikap), ike || doe, K-4.78 4D icosahedron atop dodecahedron, icosahedral antiprism, dodecahedral antiprism, segment of vertex-first hexacosachoron 1.618034 32, 120, 152, 64
... 4D (1,0,8,12,0)-diminished vertex-first-rotunda of ex, (subsymmetrical) icosiena -diminished vertex-first rotunda of hexacosachoron 1.618034 54, 168, 166, 52
... 4D (1,0,4,12,0)-diminished vertex-first-rotunda of ex, heptadeca-diminished vertex-first rotunda of hexacosachoron 1.618034 58, 204, 214, 68
ikepy, K-4.84 4D icosahedral pyramid, vertex cap of hexacosachoron 1.618034 13, 42, 50, 21
iku 4D (1,0,20,0,0)-diminished vertex-first-rotunda of ex, (full-symmetrical) icosiena -diminished vertex-first-rotunda of ex, axially-icosahedral ursachoron ofx3xoo5ooo&#xt, ike-based ursulate 1.618034 54, 162, 142, 34
kepisna 4D chiropental snubbachoron, chiral compound of 6 ex in rox army 1.618034
kidisna 4D chiro-icosahedronary disnubbachoron, chiral compound of 10 ex in rahi army 1.618034
mibdiadoe, mibdi || doe, K-4.82 4D metabidiminished icosahedron atop dodecahedron, metabidiminished segment of vertex-first hexacosachoron 1.618034 30, 100, 114, 44
mibdipy, K-4.87 4D metabidiminished-icosahedral pyramid 1.618034 11, 30, 32, 13
papadoe, pap || doe, K-4.81 4D pentagonal-antiprism atop dodecahedron, parabidiminished segment of vertex-first hexacosachoron, pentagonal-antiprism-first cap of grand antiprism 1.618034 30, 100, 114, 44
pappy 4D pentagon-antiprismatical pyramid 1.618034 11, 30, 32, 13
pedisna 4D pental disnubbachoron, compound of 12 ex in rox army, compound of 2 kepisna 1.618034
pesc (old: peppypy), K-4.86 4D pentagon scalene, pentagon-pyramidal pyramid, line atop fully orthogonal pentagon, 5 tet rosette 1.618034 7, 16, 16, 7
... 4D (0,0,0,12,0)-diminished vertex-first-rotunda of ex, dodeca-diminished vertex-first rotunda of hexacosachoron 1.618034 63, 252, 292, 103
rapsady 4D retroantiprismatosnub dishecatonicosachoron 1.618034 2400, 21600, 22080, 1680
... 4D vertex-first rotunda of hexacosachoron 1.618034 75, 384, 592, 283
sadi   (alt.: idex) 4D snub icositetrachoron, snub disicositetrachoron, semistruncated icositetrachoron, icositetradiminished hexacosachoron, snub rhombatohexadecachoron 1.618034 96, 432, 480, 144
sisp 4D small swirlprism 1.618034 120, 720, 720, 120
sody 4D small deckishecatonicosachoron, snub decahecatonicosachoron, compound of 10 ex in hi army, compound of 2 spohi 1.618034
spohi 4D small pentishecatonicosachoron, snub pentahecatonicosachoron, chiral compound of 5 ex in hi army 1.618034
spysp 4D small pyramidic swirlprism 1.618034 120, 600, 720, 240
teddi adoe, teddi || doe, K-4.83 4D tridiminished-icosahedron atop dodecahedron, triminished segment of vertex-first hexacosachoron 1.618034 29, 90, 95, 34
teddipy, K-4.88 4D tridiminished-icosahedral pyramid 1.618034 10, 24, 23, 9
tridex 4D tri-icositetradiminished hexacosachoron, tetragonal-antiwedge heptacontadichoron 1.618034 48, 192, 216, 72
twau doaid 4D deep mono-diminished rotunda of ex, 12-augmented doe || id 1.618034 62, 270, 374, 166
idadope 5D icosidodecahedron atop dodecahedron-prism 1.618034 70, 260, 326, 169, 35
sirgashia 5D small rhombated grand stellated hecatonicosachoron alterprism 1.618034 7200, 36000, 43200, 17040, 1682
deca aprip 5D deca atop prip 1.620185 90, 330, 400, 190, 32
kafandoh 5D spikifacetospinodishexadecateron 1.620185 160, 720, 800, 280, 32
rapadeca 5D rap atop deca, rap-first cap of sirhin 1.620185 40, 120, 130, 60, 12
ritag thex 5D rit atop gyrated thex, rit-first cap of sirhin 1.620185 80, 312, 376, 168, 26
sirhin 5D small rhombihemipenteract, cantellated demipenteract, runcic penteract 1.620185 160, 720, 880, 360, 42
teta tuttip (alt.: tettut tuttric) 5D tet atop tuttip, tet-first cap of sirhin, (tet,tut,tut)-trigonic 1.620185 28, 78, 86, 45, 11
thexa (old: thexag thex), thex || gyro thex 5D thex alterprism, thex atop gyro thex, equatorial segment of sirhin 1.620185 96, 336, 384, 168, 26
tutcupa toe (alt.: tutaltut toetric) 5D tuta atop toe, (tut,inv tut,toe)-trigonic 1.620185 48, 144, 162, 81, 17
naquiptant 5D penteractiquasiprismatotruncated penteractitriacontaditeron 1.621320 1920, 5760, 5520, 1920, 172
noqraptant 5D penteractiquasiretroprismatotruncated penteractitriacontaditeron 1.621320 1920, 5760, 5200, 1600, 142
giphiddix 4D great prismatohecatonicosadishexacosachoron 1.624598 7200, 18000, 12240, 2040
gixipady 4D great hexacosiprismatodishecatonicosachoron 1.624598 7200, 18000, 11280, 1560
ritathexu 5D rit-based ursateron 1.627127 112, 392, 456, 208, 34
hedip 4D heptagonal-heptagonal duoprism 1.629715 49, 96, 63, 14
thisquat 2D hyperbolic truncated order 6 square tiling 1.632242 i
cappix (old: happix) 5D celliprismated hexateron, cellitruncated hexateron, hedratoprismated hexateron, steritruncated hexateron 1.632993 120, 420, 570, 330, 62
racpix 5D retrocelliprismated hexateron 1.632993 120, 420, 450, 195, 33
tipalprip 5D tip atop inverted prip 1.632993 80, 250, 300, 160, 32
tuttipa toe (alt.: tuttut totric) 5D tuttip atop toe, (tut,tut,toe)-trigonic 1.632993 48, 132, 144, 75, 17
hejak 6D demified icosiheptaheptacontidipeton 1.632993 432, 3240, 7920, 7200, 2430, 342
hinarin 6D demipenteract atop rectified penteract, demipenteract-first cap of demified icosiheptaheptacontidipeton 1.632993 96, 480, 880, 720, 268, 44
rettidjak 6D rectification of tridiminished icosiheptaheptacontidipeton 1.632993 168, 1440, 2880, 2256, 723, 75
thexgyt (alt.: pex tedjak) 6D truncated-hexadecachoral gyrotrigonism, partially expanded tridiminished icosiheptaheptacontidipeton, partially expanded tridiminished 21,2 1.632993 144, 648, 1056, 816, 315, 51
sripal pripu 5D (srip,inv.prip)-based ursateron 1.637956 120, 420, 480, 210, 32
pedoe 5D pentagon-dodecahedron duoprism 1.639247 100, 250, 230, 95, 17
hodip 4D hexagon - octagon duoprism 1.645329 48, 96, 62, 14
oco (old: occo) 5D octagon cuboctahedron duoprism 1.645329 96, 288, 316, 144, 22
cubesirco 6D cube-small-rhombicuboctahedron duoprism 1.645329 192, 672, 928, 632, 216, 32
sinnontip 6D sinnont prism 1.645329 320, 1440, 1920, 1200, 384, 54
soxaxog 6D small hexeractihexeractihexacontitetrapeton 1.645329 384, 1920, 2480, 1600, 564, 88
stoxog 6D small terated hexeractihexacontatetrapeton, pentellated hexeract, pentellated hexacross 1.645329 384, 1920, 4160, 4800, 2904, 728
cubedoe 6D cube-dodecahedron duoprism 1.647278 160, 480, 576, 352, 114, 18
batal 6D bitruncated heptapeton 1.647509 105, 315, 385, 245, 84, 14
tocal 6D teracellated heptapeton, pentitruncated heptapeton 1.647509 210, 945, 1820, 1785, 826, 126
... 3D q3o4x, variation of small rhombicuboctahedron, hull of tisso 1.658312 24, 48, 26
quitdid 3D quasitruncated dodecadodecahedron, stellatruncated dodecadodecahedron 1.658312 120, 180, 54
tope, K-4.89 4D truncated-octahedron prism 1.658312 48, 96, 64, 16
card (old: scard, shard) 5D (small) cellirhombated dodecateron, small hedratorhombated dodecateron, stericantellated hexateron 1.658312 180, 720, 900, 420, 62
pripa (old: pripalprip) 5D prip alterprism, prip atop inverted prip, medial segment of card 1.658312 120, 420, 480, 210, 32
recard 5D retrocellirhombated dodecaateron 1.658312 180, 720, 780, 300, 44
rocrax (old: sircrax) 5D (small) retrocellirhombated hexateron 1.658312 180, 720, 840, 360, 53
sripaprip 5D srip atop prip, srip-first cap of card 1.658312 90, 300, 350, 170, 32
thexip 5D truncated-hexadecachoron prism 1.658312 96, 288, 312, 144, 26
triddippa hiddip 5D triddip atop hiddip, triddip-first cap of card 1.658312 45, 126, 135, 66, 14
cappixa (old: cappixalcappix) 6D cappix alterprism, cappix atop alternate cappix 1.658312 240, 1200, 2220, 1770, 574, 64
pabex hax 6D partially biexpanded hemihexeract, truncated tetrahedral duoalterprism 1.658312 288, 1440, 2688, 2208, 756, 84
sirhina 6D sirhin alterprism, medial segment of sophax 1.658312 320, 1920, 3680, 2880, 924, 124
sophax 6D small prismated hemihexeract, runcinated demihexeract, steric hexeract 1.658312 480, 3360, 7360, 6240, 1996, 236
tutdip 6D truncated-tetrahedron duoprism 1.658312 144, 432, 516, 312, 100, 16
hejaka 7D hejak alterprism, hejak atop alternate hejak 1.658312 864, 8640, 30960, 51120, 41580, 14922, 1280
jakatrim 7D jak atop trim, jak-first cap of stanq 1.658312 297, 2646, 9360, 16200, 13896, 5265, 560
ratkus 7D retroteriskewed hepteract 1.658312 5376, 40320, 106400, 143360, 101752, 32032, 1752
sabro 7D small birhombated octaexon, bicantellated octaexon 1.658312 420, 2520, 4480, 3850, 1960, 560, 72
stanq 7D small terated hecatonicosihexapentacosiheptacontihexaexon 1.658312 1512, 19656, 90720, 191520, 191520, 80136, 7562
takus 7D teriskewed hepteract 1.658312 5376, 40320, 106400, 143360, 101752, 32032, 1752
graggix 4D great rhombated grand hexacosachoron 1.658546 7200, 14400, 8640, 1440
qragishi (old: qraghi) 4D quasirhombated grand stellated hecatonicosachoron 1.662508 3600, 10800, 8160, 960
wavathi 4D sphenoverted triakishecatonicosachoron 1.662508 3600, 10800, 6000, 360
sirgaship 5D small-rhombated-grand-stellated-hecatonicosachoron prism 1.666693 7200, 25200, 25200, 9120, 962
trasinnont 7D (triangle,sinnont)-duoprism 1.670461 480, 2400, 4000, 3400, 1636, 439, 55
stotoe 5D octagram truncated-octahedron duoprism, star-octagon truncated-octahedron duoprism 1.671195 192, 480, 424, 156, 22
gaqrin 5D great quasirhombated penteract 1.673396 640, 1600, 1520, 680, 122
dap, 10-ap 3D decagonal antiprism 1.674505 20, 40, 22
sutia 5D small-tetrakisicositetrachoron alterprism 1.677756 1152, 4032, 4224, 1440, 98
gaqrigaghi 4D great quasirhombated great grand hecatonicosachoron 1.679184 7200, 14400, 8160, 1440
tratoe (alt.: totoe totric) 5D triangle truncated-octahedron duoprism, (toe,toe,toe)-trigonic 1.683251 72, 180, 174, 81, 17
quoptax 6D quasiprismatotruncated hexeract 1.686163 3840, 17280, 25280, 16000, 4668, 508
prippip 5D prismatorhombated-pentachoron prism 1.688194 120, 360, 390, 180, 32
tuttipa tope 5D tuttip atop tope, tutatoe-prism, tuttip-first cap of prippip 1.688194 72, 192, 194, 90, 18
topal (old: stopal) 6D teriprismated heptapeton, penticantellated heptapeton 1.690309 420, 2310, 4340, 3570, 1246, 126
dip (old: dep) 3D decagonal prism 1.693527 20, 30, 12
rassid 3D rhombisnub dodecahedron, compound of 6 dip 1.693527
... 4D 2iddip (?) 1.693527
iddip, K-4.90 4D icosidodecahedron prism 1.693527 60, 150, 124, 34
perope, K-4.92 4D pentagonal-rotunda prism 1.693527 40, 90, 69, 19
exip 5D hexacosachoron prism 1.693527 240, 1560, 3120, 2400, 602
gappip 5D great-antiprism prism 1.693527 200, 1100, 1940, 1360, 322
gohip 5D great hexacosachoron prism 1.693527 240, 1560, 2160, 960, 122
sadip 5D snub-icositetrachoron prism, snub-disicositetrachoron prism, semistruncated-icositetrachoron prism 1.693527 192, 960, 1392, 768, 146
ikedoe 6D icosahedron-dodecahedron duoprism 1.693527 240, 960, 1444, 992, 300, 32
cuba sircope 5D cube atop small-rhombicuboctahedron-prism 1.695040 56, 180, 226, 129, 29
gaquidipdy 4D grand quasidisprismatodishecatonicosachoron 1.695697 14400, 28800, 16080, 2160
stardedip 4D pentagram - decagon duoprism 1.701302 50, 100, 65, 15
srocth 3D hyperbolic small rhombated order 4 octahedral honeycomb 1.707107 i
bittoc 7D bitruncated octaexon 1.713914 168, 588, 896, 770, 392, 112, 16
tradedip, K-4.94 4D triangle - decagon duoprism, decagon - dip wedge 1.717954 30, 60, 43, 13
trid 5D triangle - icosidodecahedron duoprism 1.717954 90, 270, 306, 159, 35
trex 6D triangle - hexacosachoron duoprism 1.717954 360, 2520, 5880, 6120, 3003, 603
haop (old: hodippip) 5D hexagon octagonal-prism duoprism, hexagon-octagon duoprismatic prism 1.719624 96, 240, 220, 90, 16
hasirco (old: hissirco) 5D hexagon small-rhombicuboctahedron duoprism 1.719624 144, 432, 468, 210, 32
sososaz 7D small hepteractihepteractihecatonicosoctaexon 1.719624 896, 5376, 8512, 7280, 3808, 1148, 156
soxaxogip 7D soxaxog prism 1.719624 768, 4224, 6880, 5680, 2728, 740, 90
suposaz 7D small petated hepteractihecatonicosoctaexon, hexicated hepteract 1.719624 896, 5376, 14560, 22400, 20328, 10192, 2186
sidditdid 3D small ditrigonary dodekicosidodecahedron, small dodekified icosidodecahedron 1.721489 60, 120, 44
siddy 3D small dodekicosahedron 1.721489 60, 120, 32
... 3D siddy+12{10/4} (?) 1.721489
... 3D siddy+20{6/2} (?) 1.721489
siid 3D small icosicosidodecahedron 1.721489 60, 120, 52
hadoe 5D hexagon - dodecahedron duoprism 1.721489 120, 300, 272, 108, 18
codoe 6D cuboctahedron-dodecahedron duoprism 1.721489 240, 840, 1144, 740, 222, 26
sidpicdoh 3D hyperbolic small disprismated cubical-dodecahedral honeycomb, hyperbolic prismated order 5 cubic honeycomb, hyperbolic runcinated order 5 cubic honeycomb, hyperbolic prismated order 4 dodecahedral honeycomb, hyperbolic runcinated order 4 dodecahedral honeycomb 1.723155 i
tetid 6D tetrahedron-icosidodecahedron duoprism 1.730039 120, 420, 608, 466, 194, 36
reco 3D rectified cuboctahedron, variation of small rhombicuboctahedron, Waterman polyhedron number 6 wrt. primitive cubic lattice C3 centered at a lattice point, Waterman polyhedron number 3 wrt. face-centered cubic lattice A3 centered at a lattice point 1.732051 24, 48, 26
... 3D u3x3o, variation of truncated tetrahedron 1.732051 12, 18, 8
... 4D 2frico (?) 1.732051
... 4D 2gidditdy (?) 1.732051
... 4D 2gidditpix+2dithix (?) 1.732051
... 4D 2rico (?) 1.732051
... 4D 2rico+64{6}+128{3} (?) 1.732051
... 4D 2rico+64{6}+192{3} (?) 1.732051
... 4D 2ridditdy (?) 1.732051
... 4D 2sidditdy (?) 1.732051
... 4D 2sidditpix+2dithix (?) 1.732051
bamic (old: apic) 4D biambotetracontoctachoron, antiprismatotetracontoctachoron, triangle based biambotetracontoctachoron 1.732051 192, 864, 864, 192
coatoe, co || toe, K-4.95 4D cuboctahedron atop truncated octahedron, cuboctahedral cap of rectified icosatetrachoron 1.732051 36, 84, 64, 16
cytid rico 4D cyclotridiminished rectified-icositetrachoron, metatridiminished rectified-icositetrachoron 1.732051 60, 144, 111, 27
dirico 4D diminished rectified icosatetrachoron 1.732051 84, 240, 198, 42
distadedip 4D decagon-decagram duoprism 1.732051 100, 200, 120, 20
dithix 4D ditrigonary hecatonicosihexacosichoron 1.732051 1200, 7200, 7440, 720
efdit xithi 4D exofissary ditrigonal hexacositrishecatonicosachoron 1.732051
frico 4D facetorectified icositetrachoron 1.732051 96, 288, 240, 48
gaddit thix 4D grand ditrigonal trishecatonicosihexacosachoron 1.732051 1200, 7200, 10440, 960
gefdit dixdy 4D great exofissary ditrigonal dihexacosadihecatonicosachoron 1.732051 3600, 14400, 11040, 1440
giddit thix 4D great ditrigonal trishecatonicosihexacosachoron 1.732051 1200, 7200, 9360, 960
gidditdy 4D great ditrigonary dishecatonicosachoron 1.732051 1200, 7200, 4560, 240
gidditpix 4D great ditrigonary prismatohexacosichoron 1.732051 1200, 7200, 8520, 1320
gidthidy hi 4D great ditrigonal hecatonicosadishecatonicosihecatonicosachoron 1.732051 1200, 7200, 8400, 480
gotdatixhi 4D great toroidoditrigonary hexacosihecatonicosachoron 1.732051 1200, 7200, 5520, 720
gotditpix 4D great toroidoditrigonary prismatohexacosichoron 1.732051 1200, 7200, 8520, 1320
ini 4D icositetrintercepted icositetrachoron 1.732051 96, 288, 336, 48
middit thix 4D medial ditrigonal trishecatonicosihexacosachoron 1.732051 1200, 7200, 10440, 960
pabdirico 4D parabidiminished rectified icosatetrachoron, bistratic co-first central segment of rico, axis-orthogonal partial Stott expanded rit 1.732051 72, 192, 156, 36
... 4D q3o3o4x, variation of sidpith 1.732051 64, 192, 208, 80
quitdiddip 4D quasitruncated-dodecadodecahedron prism 1.732051 240, 480, 288, 56
rawvhitto 4D retrosphenoverted hexadecatesseractioctachoron 1.732051 96, 288, 208, 32
regikaike 4D rectified gikaike 1.732051 120, 480, 424, 76
respid 4D rectified small prismated decachoron 1.732051 60, 240, 230, 50
rico 4D rectified icosatetrachoron, cantellated hexadecachoron, hexadecachoron-derived Gévay polychoron, equatorial cross-section of ico-first sart 1.732051 96, 288, 240, 48
ridditdy 4D retroditrigonary dishecatonicosachoron 1.732051 1200, 7200, 4680, 240
ridtidohi 4D rectified ditrigonary dishecatonicosachoron 1.732051 1200, 7200, 5280, 360
riggidtixhi 4D rectified great ditrigonary hexacosihecatonicosachoron 1.732051 1200, 7200, 6420, 840
rissidtixhi 4D rectified small ditrigonary hexacosihecatonicosachoron 1.732051 1200, 7200, 6240, 840
sefdit dixdy 4D small exofissary ditrigonal dihexacosadihecatonicosachoron 1.732051 3600, 14400, 11040, 1440
siddit thix 4D small ditrigonal trishecatonicosihexacosachoron 1.732051 1200, 7200, 9360, 960
sidditdy 4D small ditrigonary dishecatonicosachoron 1.732051 1200, 7200, 4560, 240
sidditpix 4D small ditrigonary prismatohexacosichoron 1.732051 1200, 7200, 8520, 1320
sidthidy hi 4D small ditrigonal hecatonicosadishecatonicosihecatonicosachoron 1.732051 1200, 7200, 8400, 480
spidrico 4D swirlprismatodiminished rectified icositetrachoron, 24-diminished rectified icositetrachoron 1.732051 72, 288, 288, 72
stodatixhi 4D small toroidoditrigonary hexacosihecatonicosachoron 1.732051 1200, 7200, 5520, 720
stoditpix 4D small toroidoditrigonary prismatohexacosichoron 1.732051 1200, 7200, 8520, 1320
todithix 4D toroidoditrigonary hecatonicosihexacosichoron 1.732051 1200, 7200, 7440, 720
todtixhi 4D toroidal ditrigonal hexacosihecatonicosachoron 1.732051 1200, 7200, 6600, 720
... 4D Waterman polychoron number 3 wrt. cyclo-pentachoric lattice A4 centered at a lattice point 1.732051 60, 240, 230, 50
... 5D 2howoh (?) 1.732051
cotut totric 5D (co,tut,toe)-trigonic 1.732051 48, 150, 168, 81, 17
howoh 5D hexadecasphenohexadecateron, cantellated hexadecahemidecateron 1.732051 240, 1200, 1440, 560, 71
icathex 5D ico atop thex, ico-first segment of sart 1.732051 72, 264, 312, 144, 26
rescad 5D rectified scad 1.732051 120, 720, 1170, 660, 92
sart 5D small rhombated triacontiditeron, cantellated pentacross, equatorial cross-section of nit-first ram 1.732051 240, 1200, 1520, 640, 82
squatoe (old: squato) 5D square - truncated-octahedron duoprism 1.732051 96, 240, 224, 96, 18
sripalprip 5D srip atop inverted prip, srip-first cap of sart 1.732051 90, 360, 440, 200, 32
thexarico 5D thex atop rico, ico-first subsegment of sart 1.732051 144, 600, 720, 312, 50
trashiddip 5D triangle atop shiddip 1.732051 27, 75, 83, 44, 11
cardip 6D cellirhombated-dodecateron prism 1.732051 360, 1620, 2520, 1740, 544, 64
dottasibrid 6D dot atop sibrid, dot-first cap of ram 1.732051 110, 630, 990, 660, 224, 34
fe 6D tetradecapeton, tritruncated heptapeton, equatorial cross-section of (vertex first) q-hept 1.732051 140, 420, 490, 280, 84, 14
hittip 6D hexagon-hexagon-hexagon-triprism 1.732051 216, 648, 756, 432, 126, 18
nitasirhin 6D nit atop sirhin, nit-first cap of ram 1.732051 240, 1680, 2720, 1680, 444, 44
ram 6D rectified pentacontitetrapeton, Gosset polypeton 02,2,1, Voronoi cell of lattice E6*, equatorial cross-section of rojak-first rolaq 1.732051 720, 6480, 10800, 6480, 1566, 126
restaf 6D rectified staf 1.732051 210, 1680, 3850, 3990, 1778, 168
sibridacard 6D sibrid atop card, first subsegment of dot-first ram 1.732051 270, 1800, 3120, 2160, 634, 64
sirhinasart 6D sirhin atop sart, nit-first subsegment of ram 1.732051 400, 2880, 4800, 3080, 844, 84
srog 6D small rhombihexacontitetrapeton, cantellated hexacross 1.732051 480, 3360, 6400, 5040, 1656, 136
broxa sophax 7D brox atop sophax, hax-first subsegment of rolaq 1.732051 720, 8160, 23520, 26560, 13192, 2948, 238
frasa 7D facetorectified hepteract 1.732051 448, 2688, 6720, 8960, 6720, 2688, 448
haxabrox 7D hax atop brox, hax-first cap of rolaq 1.732051 272, 2640, 6000, 5920, 2968, 756, 78
puph 7D petaprismated hexadecaexon 1.732051 1120, 8400, 21560, 25760, 15288, 4060, 254
rasa (old: ras) 7D rectified hepteract, equatorial cross-section of roc-first bro 1.732051 448, 2688, 5152, 5040, 2968, 980, 142
rojaka hejak 7D rojak atop hejak, rojak-first cap of rolaq 1.732051 648, 7560, 22680, 25920, 13140, 3330, 344
rolaq 7D rectified pentacontihexapentacosiheptacontihexaexon 1.732051 2016, 30240, 90720, 100800, 47880, 10332, 758
sarz 7D small rhombated hecatonicosoctaexon, cantellated heptacross 1.732051 840, 7560, 19320, 24080, 15456, 4200, 226
stiroh 7D small trirhombihexadecaexon, tricantellated octaexon 1.732051 560, 3360, 5880, 4900, 2408, 672, 86
bro 8D birectified octeract, birectified hexadecazetton, Gosset polytopes 05,1,1 1.732051 1792, 21504, 50176, 55552, 36960, 14784, 3184, 272
puko 8D petiskewed octeract 1.732051 14336, 129024, 422912, 752640, 784896, 459648, 123712, 5552
repuko 8D retropetiskewed octeract 1.732051 14336, 129024, 422912, 752640, 784896, 459648, 123712, 5552
riffy 8D rectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t1(41,2) 1.732051 6720, 181440, 1028160, 2661120, 3386880, 1935360, 375840, 19680
ritdip 8D rectified-tesseractic duoprism 1.732051 1024, 6144, 14848, 18432, 12416, 4416, 752, 48
satpeb 8D small triprismated bi-enneazetton, triruncinated enneazetton 1.732051 1680, 15120, 42840, 55440, 38052, 14784, 3042, 270
sotho 8D small terated hemiocteract, hexic octeract 1.732051 3584, 48384, 222208, 474880, 513856, 269248, 56496, 3632
srek 8D small rhombated diacosipentacontahexazetton, cantellated octacross 1.732051 1344, 14784, 47488, 81760, 82432, 44800, 10464, 384
xorene 8D exirhombated enneazetton 1.732051 1512, 12852, 40824, 68670, 66192, 35028, 8532, 510
rihexah 3D hyperbolic rectified (order 3) hexagonal-tiling honeycomb 1.732051 i
..., 02,1,1,1 5D hyperbolic Gosset pentacomb 02,1,1,1 1.732051 i
tipech 3D hyperbolic truncated order 5 cubic tesselation 1.734413 i
doa iddip 5D dodecahedron atop icosidodecahedron-prism 1.738546 80, 300, 376, 189, 35
horico adisti 5D hollow rectified icositetrachoron atop disnub tetrakisicositetrachoron, snub disicositetrachoric cupolaic blend 1.738546 288, 1728, 2688, 1440, 241
icou 5D icositetrachoron-based ursateron, ico-based ursulate, vertex figure of s3s4o3o4o3o 1.738546 144, 600, 720, 312, 50
ricoasadi 5D rico atop sadi 1.738546 192, 1008, 1584, 912, 146
mou 7D mo-based ursaexon 1.738546 864, 8712, 20160, 19440, 8748, 1746, 128
heat 2D hyperbolic order 3 heptagonal tiling 1.742610 i
dappip, K-4.96 4D decagonal-antiprism prism 1.747560 40, 100, 84, 24
otut 5D octagon - truncated-tetrahedron duoprism 1.755593 96, 240, 220, 90, 16
siida (alt.: siidcup) 4D small icosicosidodecahedral alterprism, small icosicosidodecahedral cupoliprism, closer siid atop siid 1.765796 120, 360, 284, 54
squadedip, K-4.97 4D square - decagon duoprism 1.765796 40, 80, 54, 14
squid 5D square-icosidodecahedron duoprism 1.765796 120, 360, 398, 192, 36
octid 6D octahedron-icosidodecahedron duoprism 1.765796 180, 720, 1152, 900, 328, 40
squex 6D square-hexacosachoron duoprism 1.765796 480, 3360, 7800, 7920, 3604, 604
... 3D ho oh&#q, narrower variant of digonal antiprism 1.767767 4, 6, 4
sadixady 4D small dishexacosadishecatonicosachoron 1.773668 2400, 7200, 6240, 1440
sidthixhi 4D small ditrigonary hecatonicosihexacosihecatonicosachoron 1.773668 2400, 7200, 4560, 840
... 3D 2tic (?) 1.778824
... 3D o3β4x (?) 1.778824 24, 60, 32
tar (old: harie) 3D truncated rhombihedron, hyperhombicosicosahedron, compound of 5 tic 1.778824
tic 3D truncated cube, truncated hexahedron 1.778824 24, 36, 14
tutic 3D blend of 2 truncated cubes 1.778824 32, 56, 24
... 3D w x8o, variation of octagonal prism, hull of 8/3-prism 1.778824 16, 24, 10
ricoa (old: ricoalrico), rico || gyro rico 5D rectified icositetrachoron alterprism, rectified icositetrachoron atop gyrated rectified icositetrachoron 1.778824 192, 864, 1056, 432, 50
toatic, toe || tic, K-4.98 4D truncated octahedron atop truncated cube 1.785406 48, 120, 100, 28
tridep 6D triangle-icosidodecahedron duoprismatic prism 1.789237 180, 630, 882, 624, 229, 37
... 3D f3o4x, variation of small rhombicuboctahedron 1.789732 24, 48, 26
thatoth 4D tesseractihexadecatruncated tesseractihexadecachoron 1.790840 192, 384, 200, 32
saxoke 8D small exiocteracti-diacosipentacontahexazetton, heptellated octeract 1.790840 2048, 14336, 46592, 89600, 108416, 81536, 34976, 6560
sidditdiddip 4D small-ditrigonary-dodekicosidodecahedron prism 1.792631 120, 300, 208, 46
siidip 4D small-icosicosidodecahedron prism 1.792631 120, 300, 224, 54
srotepet 2D hyperbolic rhombisquarepentagonal tiling 1.794231 i
batene 8D bitruncated enneazetton 1.795055 252, 1008, 1848, 2016, 1386, 588, 144, 18
diddoh 3D hyperbolic disdodecahedral honeycomb, hyperbolic bitruncated order 5 dodecahedral honeycomb 1.798907 i
... 3D hyperbolic x3x5x3x5*a tesselation, hyperbolic omnitruncated dodecahedral-icosahedral honeycomb 1.798907 i
copatope 5D cope atop tope, coatoe prism, cope-first monostratic cap of ricope 1.802776 72, 204, 212, 96, 18
copeatope 5D cope atop tope, coatoe-prism 1.802776 72, 204, 212, 96, 18
danbitot 5D dispenteractibitruncated triacontaditeron 1.802776 960, 2400, 1760, 480, 52
ricope 5D rectified-icositetrachoron prism 1.802776 192, 672, 768, 336, 50
sirco aticu 4D expanded axially-octahedral ursachoron, (sirco,tic)-based ursulate 1.806144 72, 180, 142, 34
shipady 4D small hecatonicosiprismatodishecatonicosachoron 1.814331 7200, 18000, 11280, 1080
sid thipady 4D small ditrigonary hecatonicosiprismatodishecatonicosachoron 1.814331 7200, 18000, 10320, 1080
... 3D hyperbolic x3x3o3x5*a tesselation 1.816256 i
trarico 6D triangle - rectified-icositetrachoron duoprism 1.825742 288, 1152, 1680, 1152, 387, 51
padedip 4D pentagon - decagon duoprism 1.828016 50, 100, 65, 15
pid 5D pentagon - icosidodecahedron duoprism 1.828016 150, 450, 490, 225, 37
cubid 6D cube-icosidodecahedron duoprism 1.835220 240, 840, 1156, 782, 264, 38
... 3D Waterman polyhedron number 4 wrt. face-centered cubic lattice A3 centered at a shallow hole 1.837117 16, 42, 28
... 3D x3u3o, variation of truncated tetrahedron 1.837117 12, 18, 8
tapech 3D hyperbolic truncated alternated order-5 cubic honeycomb, hyperbolic cantic order-5 cubic honeycomb 1.841352 i
... 4D 2grip (?) 1.843909
grip 4D great rhombated pentachoron, cantitruncated pentachoron 1.843909 60, 120, 80, 20
... 3D octagonal Leonardo style "polyhedron of renaissance", vertex figure of lamina-trunc(o8o4xb3x) 1.847759 26, 56, 32
... 4D 2srit (?) 1.847759
... 4D 2srit+48{8}+128{3} (?) 1.847759
... 4D 2srit+64trip (?) 1.847759
bicyte gysrit 4D bicyclotetragyrated small rhombitesseract 1.847759 96, 288, 264, 72
bipgy srit 4D bipara(bi)gyrated small rhombitesseract, pseudo cantellated tesseract 1.847759 96, 288, 260, 68
cyte gysrit 4D cyclotetragyrated small rhombitesseract 1.847759 96, 288, 264, 72
cyted spic 4D cyclotetradiminished small prismatotetracontoctachoron 1.847759 120, 432, 468, 156
cyted srit 4D cyclotetradiminished small rhombitesseract, cyclotetraugmented octagonal duoprism 1.847759 80, 208, 172, 44
dapabdi spic 4D deep parabidiminished small prismatotetracontoctachoron, hexa-gyro-augmented truncated-cube prism 1.847759 72, 216, 202, 58
garpit 4D grand rhombated dishexadecachoron 1.847759 96, 288, 192, 32
inpac 4D icositetraintercepted prismatotetracontaoctachoron 1.847759 144, 576, 744, 168
... 4D inpac+72{4} (?) 1.847759
octasirco, oct || sirco, K-4.107 4D octahedron atop small rhombicuboctahedron, octahedral cap of small prismatotetracontoctachoron 1.847759 30, 84, 82, 28
odip 4D octagon-octagon duoprism 1.847759 64, 128, 80, 16
opatic, op || tic, K-4.106 4D octagonal prism atop truncated cube 1.847759 40, 92, 72, 20
pinpith 4D prismatointercepted prismatotesseractihexadecachoron 1.847759 96, 288, 344, 80
... 4D pinpith+48{4} 1.847759
rawvatoth 4D retrosphenoverted tesseractitesseractihexadacachoron 1.847759 96, 288, 200, 32
siddic 4D small distetracontoctachoron 1.847759 144, 576, 528, 96
sirc 4D small retrotetracontoctachoron 1.847759 144, 576, 432, 48
sircoatic, sirco || tic, K-4.100 4D small rhombicuboctahedron atop truncated cube, small-rhombicuboctahedral cap of small rhombated tesseract 1.847759 48, 132, 112, 28
sirdo 4D small rhombic disoctachoron 1.847759 96, 288, 208, 48
spic 4D small prismatotetracontoctachoron, runcinated icositetrachoron, expanded icositetrachoron 1.847759 144, 576, 672, 240
spript 4D small pseudorhombated prismatotesseract 1.847759 96, 288, 256, 64
... 4D spript+16 2thah (?) 1.847759
squippia squacu, K-4.109 4D square pyramid atop square cupola 1.847759 17, 40, 35, 12
squipuf, K-4.105 4D square pucofastegium, square - octagon-prismatic wedge, square magnabicupolaic ring, {4} || op, {8} || squacu, square-cap of srit 1.847759 20, 44, 35, 11
srit 4D small rhombated tesseract, cantellated tesseract 1.847759 96, 288, 248, 56
ticcup, K-4.99 4D truncated-cube prism 1.847759 48, 96, 64, 16
coasircope 5D cuboctahedron atop small-rhombicuboctahedron prism 1.847759 60, 240, 306, 153, 29
ica sidpith, ico || sidpith 5D icositetrachoron atop small disprismatotesseractihexadecachoron 1.847759 88, 480, 784, 472, 82
... 5D rectification/ambification of icoap 1.847759 336, 2304, 3744, 2064, 290
ricasrit, rico || srit 5D rectified-icositetrachoron atop small-rhombated-tesseract 1.847759 192, 960, 1256, 568, 82
ricoaspic 5D rectified icositetrachoron atop small prismated icositetrachoron 1.847759 240, 1440, 2352, 1392, 242
pattix 5D prismatotruncated hexateron, runcitruncated hexateron 1.848423 180, 630, 720, 315, 47
pripalgrip 5D prip atop alternate grip 1.848423 120, 390, 440, 200, 32
tutatope 5D tut atop tope, tut-first cap of pattix 1.848423 60, 162, 168, 81, 17
noqrant 5D penteractiquasirhombated penteractitriacontaditeron 1.849749 1920, 4800, 4000, 1320, 132
catal 6D cellitruncated heptapeton, steritruncated heptapeton 1.851640 420, 2100, 3780, 2940, 945, 105
tattoc 7D tritruncated octaexon 1.854050 280, 980, 1400, 1050, 448, 112, 16
... 3D hyperbolic x4x3x8o tesselation 1.864101 i
... 4D lamina-truncate of hyperbolic x3x4x338o tesselation 1.864101 i
... 4D hyperbolic x3x4x3x8o tesselation 1.864101 i
tratic 5D triangle truncated-cube duoprism 1.870173 72, 180, 174, 81, 17
... 4D x3o3o4q, variation of sidpith 1.870829 64, 192, 208, 80
copatoe (alt.: coco totric) 5D cope atop toe, (co,co,toe)-trigonic 1.870829 48, 144, 162, 81, 17
gripa (old: gripalgrip) 5D grip alterprism, grip atop inverted grip, medial spid-first segment of spat 1.870829 120, 360, 400, 190, 32
hatoe (old: hittoe) 5D hexagon truncated-octahedron duoprism 1.870829 144, 360, 324, 126, 20
pripagrip 5D prip atop grip 1.870829 120, 390, 440, 200, 32
ritarico 5D rectified-tesseract atop rectified-icositetrachoron, rectified-tesseract-first segment of small-prismated-triacontiditeron 1.870829 128, 480, 616, 312, 50
spat 5D small prismated triacontiditeron, runcinated pentacross 1.870829 320, 1440, 2160, 1200, 162
spidaprip 5D spid atop prip, spid-first monostratic cap of spat 1.870829 80, 270, 340, 180, 32
bicotoe 6D bi - (cuboctahedron, truncated octahedron)-duoprism 1.870829 576, 2592, 4464, 3696, 1472, 224
cotoe 6D cuboctahedron - truncated-octahedron duoprism 1.870829 288, 1008, 1368, 876, 256, 28
spog 6D small prismatohexacontitetrapeton, runcinated hexacross 1.870829 960, 7200, 14400, 11280, 3416, 296
squarico 6D square - rectified-icositetrachoron duoprism 1.870829 384, 1536, 2208, 1440, 436, 52
spaz 7D small prismated hecatonicosoctaexon, runcinated heptacross 1.870829 2240, 23520, 62720, 71120, 38696, 9520, 506
fro 8D facetorectified octeract 1.870829 1024, 7168, 21504, 35840, 35840, 21504, 7168, 1024
recto 8D rectified octeract, rectified hexadecazetton, equatorial cross-section of rene-first barn 1.870829 1024, 7168, 16128, 19712, 15456, 7616, 2160, 272
barn 9D birectified enneract, birectified octadecayotton, Gosset polytope 06,1,1 1.870829 4608, 64512, 172032, 231168, 197568, 109536, 37536, 7056, 530
chexah 3D hyperbolic cubic-hexagonal-tiling honeycomb, bitruncated order 4 hexagonal-tiling honeycomb, bitruncated order 6 cubic honeycomb 1.870829 i
... 3D 2tigid (?) 1.876844
pysnic 3D pyritosnub cube, pyritohedral sirco variant, faceted tigid 1.876844 24, 48, 26
tigid 3D truncated great dodecahedron 1.876844 60, 90, 24
ikid 6D icosahedron-icosidodecahedron duoprism 1.876844 360, 1620, 2784, 2202, 730, 52
paqrigafix (old: paquerfix) 4D prismatoquasirhombated great facetted hexacosachoron 1.878261 7200, 18000, 12480, 2160
sipthi 4D small prismatotriakishecatonicosachoron 1.878261 7200, 18000, 10320, 1560
giphihix 4D great prismatohecatonicosahecatonicosahexacosachoron 1.893038 7200, 18000, 11280, 1560
pirgaghi 4D prismatorhombated great grand hecatonicosachoron 1.893038 7200, 18000, 12480, 2160
... 4D 2giprapivady (?) 1.902113
... 4D 2papvixhi (?) 1.902113
froghi 4D facetorectified great hecatonicosachoron 1.902113 720, 3600, 4320, 720
giprapivady 4D great pentagonal retroprismatoverted dishecatonicosachoron 1.902113 720, 3600, 2160, 240
hadedip 4D hexagon - decagon duoprism 1.902113 60, 120, 76, 16
mriphi 4D medial retropental hecatonicosachoron 1.902113 720, 3600, 1920, 120
papvixhi 4D pentagonal prismatoverted hexacosahecatonicosachoron 1.902113 720, 3600, 3600, 720
raghi 4D rectified grand hecatonicosachoron 1.902113 720, 3600, 3120, 240
ridhi 4D retroinverted dishecatonicosachoron 1.902113 720, 3600, 2880, 240
righi 4D rectified great hecatonicosachoron 1.902113 720, 3600, 2160, 240
hid 5D hexagon icosidodecahedron duoprism 1.902113 180, 540, 582,258, 38
coid 6D cuboctahedron-icosidodecahedron duoprism 1.902113 360, 1440, 2244, 1650, 532, 46
raptum 5D rap-first bistratic cap of thin, rap-based tutsatope, rap-based tutism 1.903943 80, 220, 230, 110, 22
thin 5D truncated hemipenteract, cantic penteract 1.903943 160, 560, 640, 280, 42
pripal gripu 5D (prip,grip)-based ursateron 1.904375 180, 540, 570, 245, 37
gaqrox 6D great quasirhombihexeract 1.906840 1920, 5760, 7280, 4960, 1788, 268
grippip 5D great-rhombated-pentachoron prism 1.910497 120, 300, 280, 120, 22
cydispan 5D cubically cyclodiminished small-prismated-penteract 1.914214 288, 1200, 1752, 1020, 182
osirco 5D octagon small-rhombicuboctahedron duoprism 1.914214 192, 576, 616, 264, 34
... 5D s4x2x3o4s, trip-alternated osirco 1.914214 96, 336, 448, 256, 50
sirpin 5D small retroprismated penteract 1.914214 320, 1440, 1440, 480, 52
span 5D small prismated penteract, runcinated penteract 1.914214 320, 1440, 2160, 1240, 202
spiccup 5D small-prismatotetracontoctachoron prism, runcinated-icositetrachoron prism 1.914214 288, 1296, 1920, 1152, 242
squatic 5D square - truncated-cube duoprism 1.914214 96, 240, 224, 96, 18
srittip 5D small-rhombated-tesseract prism 1.914214 192, 672, 784, 360, 58
ticca sircope 5D truncated-cube atop small-rhombicuboctahedron-prism 1.914214 72, 252, 306, 153, 29
deca agrip 5D deca atop grip, deca-first cap of pirx 1.914854 90, 240, 240, 110, 22
pirx 5D prismatorhombated hexateron, runcicantellated hexateron 1.914854 180, 540, 570, 255, 47
rapirx 5D retroprismatorhombated hexateron 1.914854 180, 540, 540, 225, 38
shopjak 6D small demiprismated icosiheptaheptacontidipeton 1.914854 1080, 8640, 19440, 16200, 4662, 342
odoe 5D octagon - dodecahedron duoprism 1.915889 160, 400, 356, 134, 20
righia 5D rectified great hecatonicosachoron alterprism 1.917564 1440, 10800, 11520, 3360, 242
cral (old: scral) 6D cellirhombated heptapeton, stericantellated heptapeton 1.927248 630, 3150, 5040, 3465, 1050, 105
pritrah 3D hyperbolic prismatorhombated triangular-tiling honeycomb 1.931852 i
tragrip 6D triangle - great-rhombated-pentachoron duoprism 1.932184 180, 540, 660, 420, 143, 23
hatope 6D hexagon - truncated-octahedron duoprismatic prism 1.936492 288, 864, 1008, 576, 166, 22
sirhax 6D small rhombated hemihexeract, cantellated demihexeract, runcic hexeract 1.936492 640, 3840, 5920, 3520, 876, 76
branq (old: dranq) 7D birectified hecatonicosihexapentacosiheptacontihexaexon 1.936492 4032, 60480, 161280, 161280, 68040, 12345, 758
tazat 2D hyperbolic truncated order 3 horocyclic tiling, hyperbolic truncated order 3 apeirogonal tiling 1.936492 i
gaquidpoth 4D great quasidisprismatotesseractihexadecachoron 1.938391 384, 768, 464, 80
gipti 4D great prismatotriakisicositetrachoron 1.938391 576, 1440, 960, 168
girpdi 4D great rhombiprismic disicosatetrachoron 1.938391 576, 1440, 912, 144
paqri 4D prismatoquasirhombated icositetrachoron 1.938391 576, 1440, 1104, 240
tigiddip 4D truncated-great-dodecahedron prism 1.942303 120, 240, 138, 26
gircaptint (old: grecaptint) 5D great retrocelliprismatotruncated penteractitriacontaditeron 1.949424 1920, 5760, 5440, 1840, 172
quicpatint 5D quasicelliprismatotruncated penteractitriacontiditeron 1.949424 1920, 5760, 5760, 2160, 242
copal 6D celliprismated heptapeton, steriruncinated heptapeton 1.963961 420, 1680, 2660, 1995, 700, 105
... 3D w3x3o, variation of truncated tetrahedron 1.973010 12, 18, 8
redscox (alt.: trisoo) 6D hecatonenenecontadia-diminished small cellihexeract, partially triexpanded xedrag, tri - (4,8,8)-trioprism 1.978437 768, 3840, 7616, 7296, 3288, 536
scox 6D small cellihexeract, stericated hexeract 1.978437 960, 5760, 12320, 12000, 5148, 668
dodoe 6D dodecahedron-dodecahedron duoprism (or simply: dodecahedral duoprism) 1.981679 400, 1200, 1380, 760, 204, 24
..., ofx3xoo4ooo&#xt || o3o4x 5D cube atop (oct,co)-ursachoron, (oct,co)-ursachoron based wedge 1.994779 32, 150, 244, 159, 35
twip 3D dodecagonal prism 1.995508 24, 36, 14
idtid 3D icosidodecatruncated icosidodecahedron, icositruncated dodecadodecahedron 2 120, 180, 44
badhidy (old: buthi) 4D blendic dishecatonicosa-dishecatonicosachoron, compound of tigaghi and quit sishi 2
badohi 4D blendic dishecatonicosachoron 2 2400, 8400, 6240, 240
bithi 4D blendic trishecatonicosachoron 2 2400, 8400, 5520, 360
ebdah hithi 4D exoblendic dishemihecatonicostrishecatonicosachoron 2
ebuthi 4D exotic blendic tetrishecatonicosachoron 2
gabbadipady 4D great blendic disprismatodishecatonicosachoron 2 2400, 8400, 7200, 1680
gabbathi 4D great blendic trishecatonicosachoron 2 2400, 8400, 4800, 360
gabippady (old: gabbippady) 4D great blendic prismatodishecatonicosachoron 2 2400, 8400, 7200, 960
ganbathi 4D great spinoblendic trishecatonicosachoron 2 2400, 8400, 6480, 960
ganbippady 4D great spinoblendic prismatodishecatonicosachoron 2 2400, 8400, 6960, 960
gaqrigohi 4D great quasirhombated great hecatonicosachoron 2
giqragashi 4D great quasirhombated grand stellated hecatonicosachoron 2
iquatoc 4D icositetraquasitruncated tetracontoctachoron 2 576, 1152, 576, 72
quit sishi 4D quasitruncated small stellated hecatonicosachoron 2 2400, 4800, 2160, 240
sabbadipady 4D small blendic disprismatodishecatonicosachoron 2 2400, 8400, 7200, 1680
sabbathi 4D small blendic trishecatonicosachoron 2 2400, 8400, 4800, 360
sabippady (old: sabbippady) 4D small blendic prismatodishecatonicosachoron 2 2400, 8400, 7200, 960
sanbathi 4D small spinoblendic trishecatonicosachoron 2 2400, 8400, 6480, 960
sanbippady 4D small spinoblendic prismatodishecatonicosachoron 2 2400, 8400, 6960, 960
siddapady 4D small disprismatodishecatonicosachoron 2 2400, 7200, 6480, 1680
tahi 4D triakishecatonicosachoron 2 2400, 7200, 4080, 360
tigaghi 4D truncated great grand hecatonicosachoron 2 2400, 4800, 2160, 240
... 4D tegum sum of 2 mutually inverted (x,u)-tips 2 40, 200, 280, 120
... 4D decachoron-derived Gévay polychoron, Waterman polychoron number 4 wrt. cyclo-pentachoric lattice A4 centered at a lattice point 2 60, 260, 300, 100
garx 5D great rhombated hexateron, cantitruncated hexateron 2 120, 300, 290, 135, 27
patal 6D prismatotruncated heptapeton, runcitruncated heptapeton 2 420, 1890, 2800, 1820, 560, 70
scag 6D small cellihexacontitetrapeton, stericated hexacross 2 960, 5760, 12480, 12480, 5336, 536
tojak 6D truncated icosiheptaheptacontidipeton 2 432, 2376, 5040, 4320, 1350, 126
shanq 7D small demified hecatonicosihexapentacosiheptacontihexaexon 2 4032, 52416, 201600, 302400, 192528, 48888, 5546
be 8D octadecazetton, enneaenneazetton, bi-enneazetton, quadritruncated enneazetton, equatorial cross-section of (vertex first) q-enne 2 630, 2520, 4200, 3780, 2016, 672, 144, 18
bif 8D diacositetracont-dischiliahectohexaconta-zetton, chrysozetton, Gosset polyzetton 14,2 2 17280, 483840, 2419200, 3628800, 2298240, 725760, 106080, 2400
ren 9D rectified enneract, rectified octadecayotton, equatorial cross-section of reday-first brade 2 2304, 18432, 47616, 69888, 68544, 45024, 19104, 4752, 530
brade 10D birectified dekeract, birectified icosaxennon, Gosset polytope 07,1,1 2 11520, 184320, 552960, 875520, 916608, 653184, 310560, 93120, 15540, 1044
gaquidpothip 5D great-quasidisprismatotesseractihexadecachoric prism, great-quasiprismated-tesseract prism 2.001839 768, 1920, 1696, 624, 82
gibcotdin 5D great biprismatocellitriacontadiadispenteract 2.001839 1920, 5760, 5440, 1840, 172
quicgrat (old: cogqrit) 5D quasicelligreat rhombated triacontiditeron, (celligreat quasirhombated triacontiditeron) 2.001839 1920, 5760, 5920, 2320, 242
sadinnert 5D small dispenteractirhombated triacontaditeron 2.010695 1920, 4800, 3760, 1080, 92
thet 2D hyperbolic triheptagonal tiling 2.012192 i
gik vadixady 4D great skewverted dishexacosidishecatonicosachoron 2.013884 7200, 21600, 14640, 1440
gik vixathi 4D great skewverted hexacositriakishecatonicosachoro 2.013884 7200, 21600, 13680, 960
gikkiv datapixady 4D great skewverted ditrigonary prismatohexacosadishecatonicosachoron 2.013884 7200, 21600, 14880, 1560
titwadip 4D triangle - dodecagon duoprism, dodecagon - twip wedge 2.016280 36, 72, 51, 15
tisquah 3D hyperbolic trancated square-tiling honeycomb 2.030104 i
grawvixady 4D great retrosphenoverted hexacosadishecatonicosachoron 2.036148 3600, 10800, 7440, 840
gwav ditathi 4D great sphenoverted ditrigonary triakishecatonicosachoron 2.036148 3600, 10800, 6480, 360
... 3D u3o4x, variation of small rhombicuboctahedron 2.040640 24, 48, 26
hatic (old: hittic) 5D hexagon truncated-cube duoprism 2.040640 144, 360, 324, 126, 20
otoe (old: otto) 5D octagon truncated-octahedron duoprism 2.051123 192, 480, 424, 156, 22
sripech 3D hyperbolic rhombated order 5 cubic tesselation, hyperbolic cantellated order 5 cubic tesselation 2.053119 i
sitwadip 4D square - dodecagon duoprism 2.057195 48, 96, 64, 16
... 5D hyperbolic o3o3o3o4s3s pentacomb 2.058171 i
idtiddip 4D icosidodecatruncated-icosidodecahedron prism, icositruncated-dodecadodecahedron prism 2.061553 240, 480, 268, 46
ditrah 3D hyperbolic distriangular-tiling honeycomb 2.075910 i
odedip 4D octagon-decagon duoprism 2.079697 80, 160, 98, 18
oid 5D octagon-icosidodecahedron duoprism 2.079697 240, 720, 766, 324, 40
tih 3D hyperbolic truncated order 3 icosahedral honeycomb 2.082108 i
titdoh 3D hyperbolic x3x3x3o4*a tesselation, truncated tetrahedral-disoctahedral honeycomb 2.085865 i
... 3D hyperbolic x4x4o *b3x tesselation, hyperbolic runcicantic o3o4o4x tesselation 2.090770 i
... 3D x3x3u, variation of truncated octahedron, Waterman polyhedron number 5 wrt. face-centered cubic lattice A3 centered at a shallow hole 2.091650 24, 36, 14
grawv ditathi 4D great retrosphenoverted ditrigonary triakishecatonicosachoron 2.093315 3600, 10800, 6000, 360
swavathi 4D small sphenoverted triakishecatonicosachoron 2.093315 3600, 10800, 6960, 360
srotoct (old: sirtoct) 2D hyperbolic (small) rhombitrioctagonal tiling 2.096343 i
gril 6D great rhombated heptapeton, cantitruncated heptapeton 2.104417 210, 630, 805, 560, 210, 35
pril 6D prismatorhombated heptapeton, runcicantellated heptapeton 2.104417 420, 1470, 1960, 1295, 455, 70
topesquat 2D truncated order 5 square tiling, hyperbolic order 5 truncated square tiling 2.113125 i
twacube 5D dodecagon - cube duoprism 2.117085 96, 240, 224, 96, 18
srih 3D hyperbolic (small) rhombated order 3 icosahedral honeycomb, hyperbolic cantelated order 3 icosahedral honeycomb 2.120267 i
... 3D x3w3o, variation of truncated tetrahedron 2.120453 12, 18, 8
... 3D Waterman polyhedron number 8 wrt. primitive cubic lattice C3 centered at a lattice point, Waterman polyhedron number 4 wrt. face-centered cubic lattice A3 centered at a deep hole 2.121320 30, 84, 56
... 3D o3x4q, variation of truncated cube, hull of sno 2.121320 24, 36, 14
retoe (alt.: amtoe) 3D rectified/ambified truncated octahedron 2.121320 36, 72, 38
retut (alt.: amtut) 3D rectified/ambified truncated tetrahedron 2.121320 18, 36, 20
... 4D 2tah (?) 2.121320
... 4D Waterman polychoron number 5 wrt. alternated tessic lattice D4 centered at a hole 2.121320 104, 384, 408, 128
tah 4D tesseractihexadecachoron, bitruncated tesseract, bitruncated hexadecachoron, runcicantic tesseract 2.121320 96, 192, 120, 24
bittit 5D bitruncated triacontiditeron, Voronoi cell of lattice D5* 2.121320 240, 720, 720, 280, 42
botag 6D bitruncated hexacontitetrapeton, bitruncated hexacross 2.121320 480, 1920, 3040, 2160, 636, 76
botaz 7D bitruncated hecatonicosoctaexon, bitruncated heptacross 2.121320 840, 4200, 9240, 10640, 6048, 1428, 142
rade 10D rectified dekeract, rectified icosaxennon 2.121320 5120, 46080, 134400, 230400, 271488, 223104, 126240, 47040, 10420, 1044
sriddoh 3D hyperbolic (small) rhombated (order 4) dodecahedral honeycomb, hyperbolic cantelated order 4 dodecahedral honeycomb 2.131920 i
iddoe 6D icosidodecahedron-dodecahedron duoprism 2.140458 600, 2100, 2800, 1730, 474, 44
gidhiquit paddy 4D great dishecatonicosaquasitruncated prismatodishecatonicosachoron 2.140933 14400, 28800, 13920, 1080
gorcrin 5D great retrocelligreat rhombated penteract 2.143163 1920, 5760, 5680, 2080, 212
quacgarn 5D quasicelligreatorhombated penteract 2.143163 1920, 5760, 6000, 2400, 242
resrip (alt.: amsrip) 4D rectified/ambified srip 2.144761 90, 270, 230, 50
otbott 4D octagonnally tetrablended truncated tesseract 2.149726 128, 384, 320, 80
tat 4D truncated tesseract 2.149726 64, 128, 88, 24
pirhin 5D prismatorhombated hemipenteract, runcicantellated demipenteract, steriruncic penteract 2.150581 320, 1120, 1280, 560, 82
taha (old: tahagtah), tah || gyro tah 5D tah alterprism, tah atop gyro tah 2.150581 192, 576, 624, 288, 50
tipagrip 5D tip atop grip 2.150581 80, 220, 230, 110, 22
snid 3D snub dodecahedron, snub icosidodecahedron 2.155837 60, 150, 92
nottant 5D penteractitruncated penteractitriacontaditeron 2.159679 640, 1600, 1280, 440, 52
harjak (old: trojak) 6D demirectified icosiheptaheptacontidipeton (trirectified icosiheptaheptacontidipeton) 2.160247 1080, 6480, 10080, 6120, 1566, 126
rinathin 6D rectified penteract atop truncated demipenteract, rectified demipenteract-first cap of demirectified icosiheptaheptacontidipeton 2.160247 240, 1200, 1840, 1200, 364, 44
tahgyt 6D tesseractihexadecachoric gyrotrigonism 2.160247 288, 1152, 1704, 1176, 387, 51
hixquathix 4D hecatonicosihexacosaquasitruncated hecatonicosihexacosachoron 2.174739 7200, 14400, 6960, 840
hitwadip 4D hexagon - dodecagon duoprism 2.175328 72, 144, 90, 18
... 3D x3f4o, variation of truncated octahedron, hull of siddo, hull of passipsido 2.176251 24, 36, 14
... 3D o3q4x, variation of truncated cube 2.179449 24, 36, 14
gibrid (old: gadrid) 5D great birhombated dodecateron, bicantitruncated hexateron 2.179449 180, 450, 420, 180, 32
tahp 5D tesseractihexadecachoron prism, bitruncated-tesseract prism, bitruncated-hexadecachoron prism 2.179449 192, 480, 432, 168, 26
cophix 6D small celliprismated hemihexeract, steriruncinated demihexeract, pentisteric hexeract 2.179449 960, 5280, 10720, 9120, 3016, 296
thax 6D truncated hemihexeract, cantic hexeract 2.179449 480, 2160, 3200, 2080, 636, 76
shilq 7D small demified pentacontihexapentacosiheptacontihexaexon 2.179449 4032, 42336, 131040, 151200, 78120, 22428, 2774
tanq 7D truncated hecatonicosihexapentacosiheptacontihexaexon 2.179449 1512, 12852, 44352, 70560, 48384, 11592, 758
otacoh 3D hyperbolic x3x4x3x4*a tesselation, omnitruncated cubic-octahderal honeycomb 2.197368 i
tratah 6D triangle - tesseractihexadecachoron duoprism 2.198484 288, 864, 1032, 624, 195, 27
bapril 6D biprismatorhombated heptapeton, biruncitruncated heptapeton 2.203893 630, 2520, 3570, 2310, 714, 84
otic (old: ottic) 5D octagon - truncated-cube duoprism 2.207107 192, 480, 424, 156, 22
rawn (old: rawvanant) 5D retrosphenary penteract 2.207107 320, 1280, 1280, 440, 52
sircoa ticcup 5D small-rhombicuboctahedron atop truncated-cube-prism 2.207107 72, 240, 282, 141, 29
sirn 5D small rhombated penteract, cantellated penteract 2.207107 320, 1280, 1520, 680, 122
tattip 5D truncated-tesseract prism 2.207107 128, 320, 304, 136, 26
sirhesa 7D small rhombated hemihepteract, cantellated demihepteract 2.207940 2240, 16800, 31360, 25200, 10360, 2100, 142
pripped 3D hyperbolic prismatorhombated order 5 dodecahedral honeycomb, hyperbolic runcitruncated order 5 dodecahedral honeycomb 2.212971 i
sniddip, K-4.110 4D snub-dodecahedron prism, snub-icosidodecahedron prism 2.213060 120, 360, 334, 94
totratip 3D hyperbolic truncated order 8 triangle tiling prism 2.220806 i
trasnid 5D triangle - snub-dodecahedron duoprism 2.231808 180, 630, 786, 429, 95
... 3D 2srid (?) 2.232951
bagydrid, J79 3D bigyrate diminished rhombicosidodecahedron 2.232951 55, 105, 52
dirid, J76 3D diminished rhombicosidodecahedron 2.232951 55, 105, 52
gybadrid, J82 3D gyrate(d) bidiminished rhombicosidodecahedron 2.232951 50, 90, 42
gyrid, J72 3D gyrated rhombicosidodecahedron 2.232951 60, 120, 62
mabgyrid, J74 3D metabigyrated rhombicosidodecahedron 2.232951 60, 120, 62
mabidrid, J81 3D metabidiminished rhombicosidodecahedron 2.232951 50, 90, 42
magydrid, J78 3D metagyrate diminished rhombicosidodecahedron 2.232951 55, 105, 52
... 3D noble {9,3} modwrap within srid, Crennell number 4 stellation of the icosahedron 2.232951 60, 90, 20
pabgyrid, J73 3D parabigyrated rhombicosidodecahedron 2.232951 60, 120, 62
pabidrid, J80 3D parabidiminished rhombicosidodecahedron 2.232951 50, 90, 42
pagydrid, J77 3D paragyrate diminished rhombicosidodecahedron 2.232951 55, 105, 52
pecu, J5 3D pentagonal cupola 2.232951 15, 25, 12
... 3D β3o5β (?) 2.232951 60, 180, 92
saddid 3D small dodekicosidodecahedron 2.232951 60, 120, 44
sird 3D small rhombidodecahedron 2.232951 60, 120, 42
... 3D sird+12{10/2} (?) 2.232951
... 3D sird+20{6/2} (?) 2.232951
srid 3D small rhombicosidodecahedron, expanded icosahedron, expanded dodecahedron 2.232951 60, 120, 62
tagyrid, J74 3D trigyrated rhombicosidodecahedron 2.232951 60, 120, 62
tedrid, J83 3D tridiminished rhombicosidodecahedron, magnaursahedron 2.232951 45, 75, 32
... 3D u3x4o, variation of truncated octahedron, Waterman polyhedron number 5 wrt. face-centered cubic lattice A3 centered at a lattice point 2.236068 24, 36, 14
... 4D 2affidhi (?) 2.236068
affidhi 4D antifrustary dishecatonicosachoron 2.236068
affixthi 4D antifrustic hexacositrishecatonicosachoron 2.236068 3600, 14400, 9120, 960
afpox (old: affopix) 4D antifustric prismatohexacosachoron, compound of 60 gippid 2.236068
gafthi 4D great antifrustary trishecatonicosachoron 2.236068 3600, 14400, 8880, 360
gippid 4D great prismatodecachoron, omnitruncated pentachoron, Voronoi cell of lattice A4*, permutochoron of 5 elements 2.236068 120, 240, 150, 30
girfixady 4D great retrofrustary hexacosidishecatonicosachoron 2.236068 3600, 14400, 11040, 840
girfixthi 4D great retrofrustic hexacositrishecatonicosachoron 2.236068 3600, 14400, 10080, 960
girfthi 4D great retrofrustary trishecatonicosachoron 2.236068 3600, 14400, 7680, 360
... 4D o3q3o4x, variation of srit 2.236068 96, 288, 248, 56
... 4D q3o4o3x, variant of spic 2.236068 144, 576, 672, 240
raffixthi 4D retrofrustic hexacositrishecatonicosachoron 2.236068 3600, 14400, 9120, 960
rerit 4D o3x3o4q, rectified rectified-tesseract, variation of srit 2.236068 96, 288, 248, 56
safthi 4D great retrofrustary trishecatonicosachoron 2.236068 3600, 14400, 7680, 360
sirfixady 4D small retrofrustary hexacosidishecatonicosachoron 2.236068 3600, 14400, 11040, 840
sirfixthi 4D small retrofrustic hexacositrishecatonicosachoron 2.236068 3600, 14400, 11280, 960
sirfthi 4D small retrofrustary trishecatonicosachoron 2.236068 3600, 14400, 8880, 360
snifthi 4D small spinofrustary trishecatonicosachoron 2.236068 3600, 14400, 7680, 360
captid (old: hiptid) 5D celliprismatotruncated dodecateron, hedratoprismatotruncated dodecateron, steriruncitruncated hexateron 2.236068 360, 1080, 1110, 450, 62
coatope (alt.: cotoe totric) 5D co atop tope, (co,toe,toe)-trigonic, co-first cap of sibrant at (rico,rico)-margin 2.236068 60, 168, 174, 81, 17
pripro 5D prip-first rotunda of captid 2.236068 240, 660, 640, 255, 37
recaptid 5D retrocelliprismatotruncated dodecateron 2.236068 360, 1080, 1050, 390, 48
ricatah 5D rico atop tah, rico-first cap of sibrant 2.236068 192, 672, 744, 312, 50
sibrant 5D small birhombated penteractitriacontiditeron, bicantellated penteract, bicantellated pentacross 2.236068 480, 1920, 2160, 840, 122
sripagrip 5D srip atop grip, srip-first cap of sibrant 2.236068 90, 270, 280, 120, 22
bittita sibrant 6D bitruncated triacontadipeton atop small birhombated penteractitriacontiditeron, sart-first subsegment of small birhombated hexacontitetrapeton 2.236068 720, 3600, 5280, 3280, 1004, 124
sartabittit 6D small rhombated triacontadipeton atop bitruncated triacontadipeton, sart-first cap of small birhombated hexacontitetrapeton 2.236068 480, 2400, 3680, 2440, 764, 84
siborg 6D small birhombated hexacontitetrapeton, bicantellated hexacross, rectified birectified-hexacontitetrapeton 2.236068 1440, 8640, 13440, 8400, 2396, 236
spam (old: skopam) 6D small prismated pentacontitetrapeton, (small hebdomecontadiaprismated pentacontitetrapeton) 2.236068 2160, 15120, 36720, 36720, 14238, 1278
tactaf 6D tericellitruncated tetradecapeton, pentisteritruncated heptapeton 2.236068 840, 3360, 5250, 3780, 1176, 126
toedip 6D truncated-octahedron - truncated-octahedron duoprism 2.236068 576, 1728, 1968, 1056, 268, 28
scalq 7D small cellated pentacontihexapentacosiheptacontihexaexon 2.236068 7560, 90720, 322560, 493920, 328608, 80892, 6806
spiffy 8D small petated dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton 2.236068 30240, 665280, 4475520, 13305600, 19837440, 15180480, 5206080, 397920
..., 16,2 9D hyperbolic Gosset enneacomb 16,2 2.236068 i
topeat 2D hyperbolic order 4 truncated pentagonal tiling 2.246127 i
tiddoh 3D hyperbolic truncated (order 4) dodecahedral honeycomb 2.246127 i
titch 3D hyperbolic x3x3o3x4*a tesselation, truncated tetrahedral-cubic honeycomb 2.256021 i
big dispox 6D bi-hexacontatetra (= g)-diminished small-prismated-hexeract 2.263033 1152, 6336, 12000, 9792, 3404, 428
sircotic 6D small-rhombicuboctahedron - truncated-cube duoprism 2.263033 576, 2016, 2688, 1656, 448, 40
spox 6D small prismated hexeract, runcinated hexeract 2.263033 1280, 7680, 14400, 11200, 3708, 508
squasnid 5D square - snub-dodecahedron duoprism 2.268840 240, 840, 1028, 522, 96
totrat 2D truncated order 8 trigonal tiling, hyperbolic order 8 truncated trigonal tiling 2.276396 i
noquapant 5D penteractiquasiprismated penteractitriacontaditeron 2.283521 3840, 9600, 7680, 2160, 172
... 4D 2sadtifady (?) 2.288246
... 4D 2sitphi (?) 2.288246
dedip (old: dadip) 4D decagon-decagon duoprism 2.288246 100, 200, 120, 20
pecupe 4D pentagonal-cupola prism, pentagonal-prism atop decagonal-prism 2.288246 30, 65, 49, 14
saddiddip 4D small-dodekicosidodecahedron prism 2.288246 120, 300, 208, 46
sadtap 4D small ditetrahedronary prismatochoron, compound of 36 dedip 2.288246
sadtef pixady 4D small ditetrahedronary exofissary prismatohexacosadishecatonicosachoron 2.288246 2400, 10800, 9840, 2040
sadtifady 4D small ditetrahedronarofissary dishecatonicosachoron 2.288246 600, 3600, 4560, 240
sand tathi 4D small intercepted ditetrahedronary trishecatonicosachoron 2.288246 600, 3600, 5280, 360
saquid paxhi 4D small quasidisprismatohexacosihecatonicosachoron, Holey Terror 2.288246
sedit pathi 4D small exoditetrahedronary prismatotriakishecatonicosachoron 2.288246 2400, 10800, 8880, 1080
sefidtethi 4D small exofissary ditetrahedronary tetrakishecatonicosachoron 2.288246 2400, 10800, 6720, 480
sefradit thix 4D small exofissary retroditetrahedronary triakishecatonicosihexacosachoron 2.288246 2400, 10800, 6720, 960
siddatady 4D small ditetrahedral dishecatonicosachoron 2.288246 600, 3600, 2160, 240
siddit paxhi 4D small ditetrahedronary hexacosidishecatonicosachoron 2.288246 600, 3600, 7440, 1440
sidtaxady 4D small ditetrahedronary hexacosidishecatonicosachoron 2.288246 600, 3600, 3840, 840
sidtaxhi 4D small ditetrahedronary hexacosihecatonicosachoron 2.288246 600, 3600, 3120, 720
sirdatady 4D small retroditetrahedral dishecatonicosachoron 2.288246 600, 3600, 3840, 240
... 4D sirdatady+1440{5/2} 2.288246
sirdtapady 4D small retroditetrahedronary prismatodishecatonicosachoron 2.288246 600, 7200, 7440, 1440
... 4D sirdtapady+600 2tet (?) 2.288246
sirdtaxady 4D small retroditetrahedronary hexacosidishecatonicosachoron 2.288246 600, 3600, 3840, 840
sitphi 4D small tripesic hecatonicosachoron 2.288246
sradditdahix 4D small retroditetrahedronary dishecatonicosihexacosachoron 2.288246 600, 3600, 5280, 840
sriddip, K-4.111 4D small-rhombicosidodecahedron prism 2.288246 120, 300, 244, 64
sridtathi 4D small retroinverted ditetrahedronary trishecatonicosachoron 2.288246 600, 3600, 4560, 360
idodip 6D icosidodecahedron-icosidodecahedron duoprism 2.288246 900, 3600, 5520, 3900, 1144, 64
gippiddip 5D great-prismatodecachoron prism 2.291288 240, 600, 540, 210, 32
hitte 4D hyperbolic (order 3) hecatonicosachoric tetracomb 2.301105 i
trasrid 5D triangle - small-rhombicosidodecahedron duoprism 2.306383 180, 540, 606, 309, 65
girco 3D great rhombicuboctahedron (but not querco), truncated cuboctahedron, omnitruncated octahedron, omnitruncated cube 2.317611 48, 72, 26
pysnic 3D pyritosnub cube, pyritohedral sirco variant, edge-alternated girco 2.317611 24, 48, 26
... 3D β3x4β (?) 2.317611 48, 96, 44
sidtaxhiap 5D small ditetrahedrary hexacontahecatonicosachoron antiprism 2.321762 1200, 9600, 13440, 6960, 1322
sirdtaxadiap 5D small retroditetrahedronary hexacosidishecatonicosachoron atop alternate small retroditetrahedronary hexacosidishecatonicosachoron, small retroditetrahedronary hexacosidishecatonicosachoron alterprism 2.321762 1200, 9600, 14880, 7920, 1442
ditdi 4D disicositetratruncated disicositetrachoron 2.326846 576, 1440, 816, 96
guti 4D great tetrakisicositetrachoron 2.326846 576, 1440, 960, 96
thatpath 4D tesseractihexadecatruncated prismatotesseractihexadecachoron 2.326846 384, 768, 416, 56
cograx (old: gocrax, goharx) 5D celligreatorhombated hexateron (great cellirhombated hexateron, great hedratorhombated hexateron), stericanitruncated hexateron 2.327373 360, 1080, 1140, 480, 62
gripagippid 5D grip atop gippid, grip-first cap of cograx 2.327373 180, 480, 470, 200, 32
rocgrax 5D retrocelligreat rhombated hexateron 2.327373 360, 1080, 1080, 420, 53
tocral (old: stocral) 6D tericellirhombated heptapeton, pentiruncitruncated heptapeton 2.329929 1260, 5670, 8610, 5565, 1491, 126
otwadip 4D octagon - dodecagon duoprism 2.332200 96, 192, 116, 20
gadinnert 5D great dispenteractirhombated triacontaditeron 2.336045 1920, 4800, 3760, 1080, 92
... 3D hyperbolic x3x3x3x5*a tesselation 2.339260 i
squasrid 5D square - small-rhombicosidodecahedron duoprism 2.342236 240, 720, 788, 372, 66
cograxa (old: cograxalcograx) 6D cograx alterprism, cograx atop alternate cograx 2.345208 720, 2880, 4080, 2520, 664, 64
sobpoxog 6D small biprismated hexeractihexacontatetrapeton, biruncinated hexeract, biruncinated hexacross 2.345208 1920, 11520, 22560, 17760, 5276, 476
squagippid 6D square - great-prismated-pentachoron duoprism 2.345208 480, 1440, 1680, 960, 274, 34
prisquah 4D hyperbolic prismatorhombated square-tiling honeycomb, hyperbolic prismatotruncated order 4 octahedral honeycomb, hyperbolic runcitruncated order 4 octahedral honeycomb 2.345208 i
hixquitixhi 4D hecatonicosihexacosiquasitruncated hexacosihecatonicosachoron 2.351141 7200, 18000, 9120, 960
sixathi 4D small hexacositriakishecatonicosachoron 2.351141 7200, 18000, 11280, 960
ditdia 5D disicositetratruncated-disicositetrachoron alterprism 2.352869 1152, 4032, 3936, 1296, 98
radeda tigid, raded || tigid 4D rhombidodecadodecahedron atop truncated great dodecahedron 2.363565 120, 330, 258, 56
... 4D 2prit (?) 2.370932
gircope, K-4.125 4D great-rhombicuboctahedron prism 2.370932 96, 192, 124, 28
prit 4D prismatorhombated tesseract, prismatotruncated hexadecachoron, runcitruncated hexadecachoron 2.370932 192, 480, 368, 80
sichado 4D small cubihexadecadisoctachoron 2.370932 192, 480, 320, 56
sircoa gircotum 4D bistratic cap of prismatorhombated tesseract, rhombicuboctahedral rotunda, (sirco,girco)-based tutschoron, (sirco,girco)-based tutism 2.370932 96, 216, 154, 34
sirpdo 4D small rhombiprismatodisoctachoron 2.370932 192, 480, 304, 48
pithin 5D prismatotruncated hemipenteract, runcitruncated demipenteract, stericantic penteract 2.371708 480, 1680, 1840, 720, 82
sripa gippidtum 5D srip-first bistratic cap of pithin, (srip,gippid)-based tutsateron, (srip,gippid)-based tutism 2.371708 180, 510, 510, 210, 32
thexagtah 5D thex atop gyrated tah 2.371708 144, 408, 408, 168, 26
sirjak 6D small rhombated icosiheptaheptacontidipeton 2.380476 2160, 15120, 24480, 15120, 3942, 342
tragirco 5D triangle - great-rhombicuboctahedron duoprism 2.388442 144, 360, 342, 153, 29
gabril 6D great birhombated heptapeton, bicantitruncated heptapeton 2.390457 420, 1260, 1540, 960, 329, 49
togral (old: gotral) 6D terigreatorhombated heptapeton, penticantitruncated heptapeton 2.390457 840, 3360, 5390, 4096, 1351, 126
crohax (old: scrohax) 6D (small) cellirhombated hemihexeract, pentiruncinated demihexeract, pentiruncic hexeract 2.397916 1920, 10560, 16960, 11040, 3016, 296
grotazt 2D hyperbolic great rhombitriapeirogonal tiling, hyperbolic omnitruncated trigonal-horocyclic tiling, hyperbolic truncated triapeirogonal tiling 2.397916 i
gapthi 4D grand prismatotriakishecatonicosachoron 2.400819 7200, 18000, 10320, 1080
quippirghi 4D quasiprismatorhombated grand hecatonicosachoron 2.400819 7200, 18000, 12480, 1680
cappin 5D celliprismated penteract, steritruncated pentacross 2.423081 640, 2240, 2880, 1520, 242
prittip 5D prismatorhombated-tesseract prism, prismatotruncated-hexadecachoron prism, runcitruncated-hexadecachoron prism, central segment of cappin 2.423081 384, 1152, 1216, 528, 82
setitdin 5D small tesseractitriacontidiadispenteract 2.423081 640, 2240, 2160, 760, 92
squagirco 5D square great-rhombicuboctahedron duoprism 2.423081 192, 480, 440, 180, 30
thesa 7D truncated demihepteract, cantic hepteract 2.423840 1344, 7392, 13440, 11760, 5656, 1428, 142
dahitady 4D dishecatonicositruncated dishecatonicosachoron 2.431014 7200, 14400, 6000, 360
ciddoh 3D hyperbolic cubic-dodecahedral honeycomb, hyperbolic bitruncated order 5 cubic honeycomb, hyperbolic bitruncated order 4 dodecahedral honeycomb 2.443795 i
hasrid 5D hexagon - small-rhombicosidodecahedron duoprism 2.446644 360, 1080, 1152, 498, 68
doc 4D distetracontoctachoron 2.449490 1152, 2304, 1248, 96
barm (old: scram, bram, remak, kram) 6D birectified pentacontitetrapeton, (small centrorhombated pentacontitetrapeton) 2.449490 2160, 12960, 19440, 10800, 2286, 126
hagippid 6D hexagon - great-prismated-decachoron duoprism 2.449490 720, 2160, 2460, 1320, 336, 36
taporf (old: staporf) 6D teriprismatorhombitetradecapeton, pentiruncicantellated heptapeton 2.449490 1260, 5040, 7560, 5250, 1596, 126
tettidjak 6D truncation of tridiminished icosiheptaheptacontidipeton 2.449490 336, 1608, 2880, 2256, 723, 75
lanq (inbetween: rolin) 7D pentacontihexa-hecatonicosihexa-pentacosiheptacontihexa-exon, rectified pentacontihexahecatonicosihexaexon, Gosset polytope 03,2,1 2.449490 10080, 120960, 241920, 191520, 72072, 12348, 758
borfy 8D birectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t2(41,2) 2.449490 60480, 1451520, 5806080, 9918720, 7741440, 2600640, 382560, 19680
..., 03,2,2 7D hyperbolic Gosset heptacomb 03,2,2 2.449490 i
gripped 3D hyperbolic great rhombated order 5 dodecahedral honeycomb, hyperbolic cantitruncated order 5 dodecahedral honeycomb 2.456999 i
tan 5D truncated penteract 2.465447 160, 400, 400, 200, 42
grotehat 2D hyperbolic great rhombitetrahexagon tiling, hyperbolic order 6 omnitruncated square tiling, hyperbolic order 4 omnitruncated hexagon tiling 2.474067 i
tacox 6D tericellated hexeract, pentitruncated hexacross 2.474130 1920, 8640, 15680, 13920, 5688, 728
... 3D 2ti (?) 2.478019
... 3D o5/2f5x variation of truncated great dodecahedron 2.478019 60, 90, 24
ti 3D truncated icosahedron, buckyball, Goldberg polyhedron GP(1,1) 2.478019 60, 90, 32
... 3D x3β5o (?) 2.478019 60, 150, 62
hixquitphix 4D hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosachoron 2.483382 14400, 28800, 14880, 1560
sridati, srid || ti, K-4.126 4D small-rhombicosidodecahedron atop truncated-icosahedron 2.485450 120, 330, 274, 64
padohi 4D prismatodishecatonicosachoron 2.497212 1440, 7200, 7440, 2160
prissi 4D prismatorhombisnub icositetrachoron, prismato-semistruncated icositetrachoron, runcic snub icositetrachoron 2.497212 288, 1008, 960, 240
sad phiddix 4D small dipentary hecatonicosadishexacosachoron 2.497212 1440, 7200, 7200, 1320
scadupthix 4D small capped dipentary tetrishecatonicosahexacosichoron 2.497212 1440, 7200, 9600, 1080
sid pippady 4D small dipentary prismatodishecatonicosachoron 2.497212 1440, 7200, 6480, 960
sidipthi 4D small dipental trishecatonicosachoron 2.497212 1440, 7200, 4560, 360
... 4D sidpippady+120 2sissid (?) 2.497212
sidpixathi 4D small dipentagonal hexacositrihecatonicosachoron 2.497212 1440, 7200, 6240, 960
sisdipthi 4D small stellated dipental trishecatonicosachoron 2.497212 1440, 7200, 4560, 360
sissidaraded, sissid || raded 4D small stellated dodecahedron atop rhombidodecadodecahedron, sissid-first cap of padohi 2.497212 72, 210, 186, 56
danpit 5D dispenteractiprismated triacontaditeron 2.5 3840, 9600, 7680, 2160, 132
hagippiddip 7D hexagon - great-prismated-pentachoron duoprism prism 2.5 1440, 5040, 7080, 5100, 1992, 408, 38
srox 6D small rhombated hexeract, cantellated hexeract 2.515637 960, 4800, 7280, 4960, 1788, 268
hagirco (old: higgirco) 5D hexagon great-rhombicuboctahedron duoprism 2.524147 288, 720, 636, 234, 32
gaquapan 5D great quasiprismated penteract 2.527061 1920, 4800, 4240, 1530, 202
tipe, K-4.127 4D truncated-icosahedron prism 2.527959 120, 240, 154, 34
sid pippadia 5D sid pippady alterprism 2.527959 2880, 21600, 34560, 14880, 1082
... 5D sid pippadia + 240 2sissid 2.527959
trati 5D triangle - truncated-icosahedron duoprism 2.544388 180, 450, 426, 189, 35
... 3D x3u4o, variation of truncated octahedron 2.549510 24, 36, 14
bittin 5D bitruncated penteract 2.549510 320, 800, 720, 280, 42
xog 6D hexeractihexacontatetrapeton, tritruncated hexeract, tritruncated hexacross 2.549510 960, 3360, 4160, 2320, 636, 76
totaz 7D tritruncated hecatonicosoctaexon, Voronoi cell of lattice D7* 2.549510 2240, 10080, 17920, 15120, 6328, 1428, 142
... 3D q3x4x, variation of girco, hull of quitco 2.564844 48, 72, 26
grawvathi 4D great retrosphenoverted triakishecatonicosachoron 2.572554 3600, 10800, 6960, 360
swav ditathi 4D small sphenoverted ditrigonary triakishecatonicosachoron 2.572554 3600, 10800, 6000, 360
squati 5D square - truncated-icosahedron duoprism 2.576932 240, 600, 548, 222, 36
gippix 5D great prismated hexateron, runcicantitruncated hexateron 2.581989 360, 900, 810, 315, 47
catjak (old: detidjik) 6D cellitruncated icosiheptapeton (disteridisicosiheptaheptacontidipeton) 2.581989 2160, 11880, 23760, 19440, 5958, 558
osrid 5D octagon - small-rhombicosidodecahedron duoprism 2.587117 480, 1440, 1516, 624, 70
captal 6D celliprismatotruncated heptapeton, steriruncitruncated heptapeton 2.591194 1260, 4410, 5670, 3360, 945, 105
... 3D Waterman polyhedron number 4 wrt. primitive cubic lattice C3 centered at a hole, cubically expanded rhombic dodecahedron 2.598076 32, 48, 18
cathix 6D cellitruncated hemihexeract, steritruncated demihexeract, penticantic hexeract 2.598076 1920, 9600, 16800, 12480, 3656, 296
... 3D q3o5x, variation of srid 2.601518 60, 120, 62
... 3D o3x4u, variation of truncated cube 2.613126 24, 36, 14
resirco (alt.: amsirco) 3D rectified/ambified small-rhombated-cuboctahedron 2.613126 48, 96, 50
... 4D 2proh (?) 2.613126
... 4D 2srico (?) 2.613126
... 4D 2srico+144{8}+576{3} (?) 2.613126
... 4D 2srico+192trip (?) 2.613126
biscsrico 4D bistratic cuboctahedron-first cap of small rhombated icositetrachoron 2.613126 84, 204, 156, 36
coatic, K-4.129 4D cuboctahedron atop truncated cube, cuboctahedral cap of small rhombated icositetrachoron 2.613126 36, 84, 64, 16
cytid srico 4D cyclotridiminished small rhombated icositetrachoron 2.613126 180, 468, 369, 81
pabdiproh 4D parabidiminished prismatorhombated hexadecachoron, tristratic tic-first central segment of proh 2.613126 144, 312, 212, 44
proh 4D prismatorhombated hexadecachoron, prismatotruncated tesseract, runcitruncated tesseract 2.613126 192, 480, 368, 80
rawvaty 4D retrosphenoverted triakisicositetrachoron 2.613126 288, 864, 576, 72
siphado 4D small prismatohexadecadisoctachoron 2.613126 192, 480, 336, 64
sirpith 4D small rhombiprismated tesseractihexadecachoron 2.613126 192, 480, 304, 48
srico 4D small rhombated icositetrachoron, cantellated icositetrachoron 2.613126 288, 864, 720, 144
ticagirco, K-4.128 4D truncated cube atop great rhombicuboctahedron, truncated-cubical cap of prismatorhombated hexadecachoron, cuboctahedral supra-cap of small rhombated icositetrachoron 2.613126 72, 156, 112, 28
cagral (old: gacral) 6D celligreatorhombated heptapeton, stericantitruncated heptapeton 2.618615 1260, 5040, 7140, 4410, 1155, 105
narptint 5D penteractiretroprismatotruncated penteractitriacontaditeron 2.621320 1920, 5760, 5200, 1600, 142
niptant 5D penteractiprismatotruncated penteractitriacontaditeron 2.621320 1920, 5760, 5520, 1920, 172
prohalsrico 5D proh atop srico 2.632865 480, 2112, 2624, 1168, 178
ritasrit, rit || srit 5D rectified-tesseract atop small-rhombated-tesseract 2.632865 128, 576, 720, 328, 58
sricoa (old: sricoalsrico), srico || gyro srico 5D small-rhombated-icositetrachoron alterprism, small-rhombated-icositetrachoron atop gyrated small-rhombated-icositetrachoron 2.632865 576, 2880, 3744, 1680, 242
... 3D x3x4q, variation of great rhombicuboctahedron, Waterman polyhedron number 7 wrt. face-centered cubic lattice A3 centered at a lattice point 2.645751 48, 72, 26
... 4D o3o3q4x, variation of tat 2.645751 64, 128, 88, 24
oditico 4D octadiminished truncated icositetrachoron, Waterman polychoron number 4 wrt. alternated tessic lattice D4 centered at a hole 2.645751 128, 320, 240, 48
... 4D Waterman polychoron number 4 wrt. primitive tesseractic lattice C4 centered at a hole 2.645751 128, 416, 400, 112
... 4D Q3o3o4x, variation of sidpith 2.645751 64, 192, 208, 80
... 4D s3s4o3o, mere hemiation of truncated icositetrachoron, snub rhombatohexadecachoron 2.645751 96, 432, 480, 144
tastic 4D truncated stellated tetracontoctachoron, compound of 2 truncated icositetrachora 2.645751
tico 4D truncated icositetrachoron, cantitruncated hexadecachoron 2.645751 192, 384, 240, 48
tidox (old: togex) 4D truncated dodecahedronary-hexacosachoron (truncated great hexacosachoron), compound of 25 tico 2.645751
tidtidohi 4D truncated ditrigonary dishecatonicosachoron 2.645751 2400, 8400, 5280, 360
tiggidtixhi 4D truncated great ditrigonary hexacosihecatonicosachoron 2.645751 2400, 8400, 6240, 840
tigikaike 4D truncated gikaike 2.645751 240, 600, 424, 76
tissidtixhi 4D truncated small ditrigonary hexacosihecatonicosachoron 2.645751 2400, 8400, 6240, 840
gart 5D great rhombated triacontiditeron, cantitruncated pentacross 2.645751 480, 1440, 1520, 640, 82
rerin 5D rectified rectified-penteract 2.645751 320, 1280, 1520, 680, 122
resibrid 5D rectified sibrid 2.645751 360, 1440, 1680, 720, 122
dotum 6D dot-first bistratic cap of tim, dot-based tutsatope, dot-based tutism 2.645751 220, 740, 990, 660, 224, 34
grog 6D great rhombihexacontitetrapeton, cantitruncated hexacross 2.645751 960, 3840, 6400, 5040, 1656, 136
rerax 6D rectified rectified-hexeract, variation of small rhombated hexeract 2.645751 960, 4800, 7280, 4960, 1788, 268
saborx 6D small birhombated hexeract, bicantellated hexeract 2.645751 1920, 9600, 13760, 8320, 2556, 316
tim 6D truncated pentacontitetrapeton 2.645751 1440, 7200, 10800, 6480, 1566, 126
sranq 7D small rhombated hecatonicosihexapentacosiheptacontihexaexon 2.645751 12096, 133056, 346752, 372960, 178416, 32760, 1514
talq 7D truncated pentacontihexapentacosiheptacontihexaexon 2.645751 4032, 32256, 90720, 100800, 47880, 10332, 758
robay 8D rectified diacositetracont-myriaheptachiliadiacosioctaconta-zetton, t1(21,4) 2.645751 69120, 1451520, 5322240, 7257600, 4717440, 1693440, 313440, 19680
thocto 8D truncated hemiocteract, cantic octeract 2.645751 3584, 23296, 50176, 55552, 36960, 14784, 3184, 272
tiffy 8D truncated dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton 2.645751 13440, 188160, 1028160, 2661120, 3386880, 1935360, 375840, 19680
..., tico || prissi 5D tico atop prissi 2.647378 480, 1968, 2640, 1392, 242
carnit (old: scarnit) 5D (small) cellirhombated penteractitriacontiditeron, stericantellated penteract, stericantellated pentacross 2.660531 960, 3840, 4720, 2080, 242
ogirco 5D octagon - great-rhombicuboctahedron duoprism 2.660531 384, 960, 832, 288, 34
prohp 5D prismatorhombated-hexadecachoron prism, prismatotruncated-tesseract prism, runcitruncated-tesseract prism, central segment of carnit 2.660531 384, 1152, 1216, 528, 82
rawcbinant (old: recarnit) 5D retrosphenary cellibiprismatopenteractipenteractitriacontaditeron, retrocellirhombated penteractitriacontaditeron 2.660531 960, 3840, 4240, 1600, 172
sricope (old: sripe) 5D small-rhombated-icositetrachoron prism, cantellated-icositetrachoron prism 2.660531 576, 2016, 2304, 1008, 146
... 3D d3o3x, variation of cuboctahedron 2.661453 12, 24, 14
hati 5D hexagon - truncated-icosahedron duoprism 2.672186 360, 900, 792, 288, 38
rawvathi 4D retrosphenoverted triakishecatonicosachoron 2.689994 3600, 10800, 6000, 360
sraghi 4D small rhombated grand hecatonicosachoron 2.689994 3600, 10800, 8160, 960
sadiap 5D snub disicositetrachoric antiprism, triangle-alternation of truncated icositetrachoric prism 2.692582 192, 1248, 2112, 1296, 242
ticope 5D truncated-icositetrachoron prism 2.692582 384, 960, 864, 336, 50
gaqrigashi 4D great quasirhombated great stellated hecatonicosachoron 2.700333 7200, 14400, 8160, 960
sritaprohu 5D (srit,proh)-based ursateron 2.706827 384, 1344, 1504, 624, 82
tapox (old: stapox) 6D teriprismated hexeract, penticantellated hexacross 2.707107 3840, 21120, 38720, 30240, 9528, 728
copril 6D celliprismatorhombated heptapeton, steriruncicantellated heptapeton 2.725541 1260, 4410, 5880, 3675, 1050, 105
srothet (old: sirthet) 2D small rhombitriheptagonal tiling, hyperbolic rhombitriheptagonal tiling 2.728895 i
twaddip 4D dodecagonal-dodecagonal duoprism 2.732051 144, 288, 168, 24
pattit 5D prismatotruncated triacontiditeron, runcitruncated pentacross 2.738613 960, 3360, 3680, 1440, 162
pripa gippid 5D prip atop gippid, prip-first cap of pattit 2.738613 180, 510, 510, 210, 32
ricoa ticotum 5D rico-based tutsatope, rico-based tutism, rico-first bistratic cap of pattit 2.738613 384, 1152, 1168, 456, 58
potag 6D prismatotruncated hexacontitetrapeton, runcitruncated hexacross 2.738613 2880, 15840, 24960, 15600, 3896, 296
toegippid 7D truncated-octahedron - great-prismated-decachoron duoprism 2.738613 2880, 10080, 13920, 9600, 3444, 606, 44
shi 4D snub hecatonicosachoron (but not snahi) 2.739576 1440, 10800, 11040, 1560
tox 6D truncated hexeract 2.745093 384, 1152, 1520, 1120, 444, 76
... 3D v3o5f, variation of srid, hull of tiggy 2.757554 60, 120, 62
girhin 5D great rhombated hemipenteract, cantitruncated demipenteract, runcicantic penteract 2.761340 480, 1200, 1040, 360, 42
spojak 6D small prismated icosiheptapeton 2.768875 4320, 25920, 47520, 34560, 9702, 1062
prohax 6D prismatorhombated hemihexeract, runcicantellated demihexeract, steriruncic hexeract 2.783882 1920, 7680, 10720, 6720, 1996, 236
... 3D f3o5x, variation of srid, hull of siid, hull of quit gissid 2.785428 60, 120, 62
sersa 7D small rhombated hepteract, cantellated hepteract 2.790257 2688, 16128, 29792, 27440, 15064, 4564, 590
residpith (alt.: amsidpith) 4D rectified/ambified small-disprismated-tesseractihexadecachoron 2.797933 192, 768, 720, 144
oti 5D octagon - truncated-icosahedron duoprism 2.801372 480, 1200, 1036, 354, 40
... 4D 2firsashi (?) 2.802517
... 4D 3rasishi (?) 2.802517
... 4D rico-derived polychoron incorporating does 2.802517 384, 1008, 768, 144
firsashi 4D faceted rectified small stellated hecatonicosachoron 2.802517 1200, 3600, 2640, 240
hinhi 4D hecatonicosintercepted hecatonicosachoron 2.802517 1200, 3600, 3360, 240
rasishi 4D rectified small stellated hecatonicosachoron 2.802517 1200, 3600, 2160, 240
gapil 6D great prismated heptapeton, runcicantitruncated heptapeton 2.803060 840, 2520, 3010, 1820, 560, 70
prih 3D hyperbolic prismatorhombated order 3 icosahedral honeycomb, hyperbolic runcitruncated order 3 icosahedral honeycomb 2.809263 i
... 5D truncation of icoap 2.816377 672, 2640, 3744, 2064, 290
gik vipathi 4D great skewverted prismatotriakishecatonicosachoron 2.828427 7200, 21600, 13920, 1080
iquatpic 4D icositetraquasitruncated prismatotetracontoctachoron 2.828427 1152, 2304, 1248, 168
kavipathi 4D skewverted prismatotrishecatonicosachoron 2.828427 7200, 21600, 14880, 1560
redeca 4D rectified decachoron 2.828427 60, 180, 160, 40
sik vipathi 4D small skewverted prismatotriakishecatonicosachoron 2.828427 7200, 21600, 13920, 1080
catog 6D cellitruncated hexacontitetrapeton, steritruncated hexacross 2.828427 3840, 19200, 33600, 24480, 6776, 536
hatico 6D hexagon - truncated-icositetrachoron duoprism 2.828427 1152, 3456, 3936, 2112, 534, 54
hotjak 6D demitruncated icosiheptapeton 2.828427 2160, 9720, 14400, 9360, 2862, 342
sethalq 7D small terademified pentacontihexapentacosiheptacontihexaexon 2.828427 24192, 241920, 826560, 1249920, 896112, 272664, 17642
rasishia 5D rasishi alterprism 2.829949 2400, 14400, 18720, 5520, 362
... 5D rasishia + 2 2rasishi 2.829949
thenne 9D truncated hemienneract, cantic enneract 2.850439 9216, 69120, 172032, 231168, 197568, 109536, 37536, 7056, 530
bitapech 3D hyperbolic bitruncated alternated order-5 cubic honeycomb, runcicantic order-5 cubic honeycomb 2.850727 i
capt 5D celliprismated triacontiditeron, steritruncated penteract 2.878460 640, 2240, 2960, 1600, 242
priddoh 3D hyperbolic prismatorhombated (order 4) dodecahedral honeycomb, hyperbolic prismatotruncated order 5 cubical honeycomb, hyperbolic runcitruncated order 5 cubical honeycomb 2.878623 i
dih 3D hyperbolic bitruncated order 3 icosahedral honeycomb, hyperbolic disicosahedral honeycomb 2.910693 i
rahitte 4D rectified hyperbolic hecatoniicosachoric tetracomb 2.910693 i
botox 6D bitruncated hexeract 2.915476 960, 2880, 3440, 2080, 636, 76
tatsa 7D tritruncated hepteract 2.915476 3360, 13440, 20160, 15120, 6328, 1428142
gid tipathi 4D great ditrigonal prismatotriakishecatonicosachoron 2.920251 7200, 18000, 11280, 1560
giphixhi 4D great prismatohecatonicosihexacosihecatonicosachoron 2.920251 7200, 18000, 12240, 2040
topag (old: stopag) 6D teriprismated hexacontitetrapeton, penticantellated hexeract 2.921564 3840, 21120, 39360, 31680, 10328, 728
otitch 3D hyperbolic x3x3x3x4*a tesselation, omnitruncated tetrahedral-cubic honeycomb 2.942253 i
botajik 6D bitruncated icosiheptaheptacontidipeton 2.943920 2160, 8640, 11520, 6480, 1566, 126
tocat 2D hyperbolic order 3 truncated octagonal tiling 2.947161 i
... 3D x3w4o, variation of truncated octahedron, hull of rah, hull of snu 2.956796 24, 36, 14
... 3D q3q4x, Waterman polyhedron number 5 wrt. primitive cubic lattice C3 centered at a hole, variation of girco 2.958040 48, 72, 26
gocad (old: gohad) 5D great cellated dodecateron (great hedrated dodecateron), omnitruncated hexateron, Voronoi cell of lattice A5*, permutoteron of 6 elements 2.958040 720, 1800, 1560, 560, 62
pithax 6D prismatotruncated hemihexeract, runcitruncated demihexeract, stericantic hexeract 2.958040 2880, 12960, 18240, 10560, 2636, 236
hirlaq 7D demirectified pentacontihexapentacosiheptacontihexaexon 2.958040 12096, 90720, 171360, 141120, 59976, 12348, 758
... 3D 2tid (?) 2.969449
... 3D o3β5x (?) 2.969449 60, 150, 62
tid 3D truncated dodecahedron 2.969449 60, 90, 32
shihix 4D small hecatonicosihecatonicosihexacosachoron 2.975584 2400, 7200, 5040, 840
sixhidy 4D small hexacosihecatonicosadishecatonicosachoron 2.975584 2400, 7200, 5280, 960
tacogral (old: gatocral) 6D tericelligreatorhombated heptapeton, pentistericantitruncated heptapeton 2.976095 2520, 8820, 11340, 6510, 1596, 126
thetrat 2D truncated order 7 triangular tiling, hyperbolic order 7 truncated trigonal tiling 2.976586 i
tasa 7D truncated hepteract 2.998773 896, 3136, 5152, 5040, 2968, 980, 142
... 3D Waterman polyhedron number 9 wrt. face-centered cubic lattice A3 centered at a lattice point 3 36, 72, 38
dahi 4D dishecatonicosachoron 3 3600, 7200, 3840, 240
hixady 4D hecatonicosihexacosidishecatonicosachoron 3 7200, 18000, 11280, 960
... 4D Waterman polychoron number 5 wrt. primitive tesseractic lattice C4 centered at a hole 3 208, 672, 592, 128
xhidy 4D hexacosihecatonicosadishecatonicosachoron 3 7200, 18000, 10080, 960
pirt 5D prismatorhombated triacontiditeron, runcicantellated pentacross 3 960, 2880, 2960, 1200, 162
repirt 5D retroprismatorhombated triacontiditeron 3 960, 2880, 2800, 1040, 132
tahatico 5D tah atop tico, tah-first segment of pirt 3 288, 768, 744, 312, 50
gibpof 6D great biprismated tetradecapeton, biruncicantitruncated heptapeton 3 1260, 3780, 4410, 2520, 714, 84
gocadip 6D great-cellated-hexateron prism 3 1440, 4320, 4920, 2640, 664, 64
prog 6D prismatorhombated hexacontitetrapeton, runcicantellated hexacross 3 2880, 11520, 16800, 11280, 3416, 296
sabrim (old: pirm, sirmak, skorm) 6D small birhombated pentacontitetrapeton, (prismatorectified pentacontitetrapeton, small rhombated pentacontitetraheptacontidipeton, small heptacontidirhombated pentacontitetrapeton) 3 6480, 38880, 62640, 38880, 9198, 558
... 4D 2grit (?) 3.005916
grit 4D great rhombated tesseract, cantitruncated tesseract 3.005916 192, 384, 248, 56
tiddip, K-4.130 4D truncated-dodecahedron prism 3.011250 120, 240, 154, 34
nurrant 5D penteractirhombated penteractitriacontaditeron 3.013043 1920, 4800, 4000, 1320, 132
tratid 5D triangle - truncated-dodecahedron duoprism 3.025056 180, 450, 426, 189, 35
gaquacint 5D great quasicellated penteractitriacontiditeron 3.029675 3840, 9600, 8160, 2640, 242
... 3D f3x5o, variation of ti, hull of tigid, hull of gaddid 3.036797 60, 90, 32
soro 8D small rhombated octeract, cantellated octeract 3.040171 7168, 50176, 109312, 127232, 94304, 43456, 11376, 1296
grittip 5D truncated-tesseract prism, central segment of prin 3.047217 384, 960, 880, 360, 58
prin 5D prismatorhombated penteract, runcicantellated penteract 3.047217 960, 2880, 2960, 1240, 202
sibtadin 5D small biprismatotriacontadiadispenteract 3.047217 960, 2880, 2720, 1000, 132
squatid 5D square - truncated-dodecahedron duoprism 3.052479 240, 600, 548, 222, 36
rid 3D rectified icosidodecahedron, variation of small rhombicosidodecahedron 3.077684 60, 120, 62
... 4D 2rox (?) 3.077684
... 4D 2rox+1440{5}+2400{3} (?) 3.077684
... 4D 2rox+sophi (?) 3.077684
... 4D 2sophi (?) 3.077684
... 4D 2sprapivady (?) 3.077684
..., K-4.146 4D pentagon - pentagonal-rotunda wedge, {5} || pero 3.077684 25, 65, 58, 18
arsdod depabdirox 4D around-symmetrical dodecadiminishing of deep parabidiminished rox 3.077684 240, 780, 696, 156
arspabd biscrox 4D around-symmetrically parabidiminished bistratic icosahedron-first cap of rectified hexacosachoron 3.077684 80, 260, 234, 54
arsted biscrox 4D around-symmetrically tridiminished bistratic icosahedron-first cap of rectified hexacosachoron 3.077684 69, 195, 165, 39
bicypdrox 4D (bistratic) bi-cyclopentadiminished rectified hexacosachoron 3.077684 300, 1000, 985, 285
biscrox 4D bistratic icosahedron-first cap of rectified hexacosachoron 3.077684 102, 390, 372, 84
damibdrox 4D deep metabidiminished rectified hexacosachoron 3.077684 312, 1270, 1245, 287
didamibdrox 4D diminished deep metabidiminished rectified hexacosachoron 3.077684 270, 1020, 993, 243
frox 4D faceted rectified hexacosichoron 3.077684 720, 3600, 4440, 840
... 4D frox+600 2thah (?) 3.077684
... 4D dodeca-diminished equatorial tetrastratic segment of rox 3.077684 300, 1140, 1128, 288
... 4D equatorial tetrastratic segment of rectified hexacosachoron 3.077684 312, 1260, 1248, 300
gyepipa pero, K-4.140 4D gyroelongated pentagonal pyramid atop pentagonal rotunda 3.077684 31, 100, 93, 24
idasrid, id || srid, K-4.131 4D icosidodecahedron atop small rhombicosidodecahedron, icosidodecahedron cupola, ike-first supra-cap of rox 3.077684 90, 300, 274, 64
ikaid, ike || id, K-4.137 4D icosahedron atop icosidodecahedron, icosahedral cap of rectified hexacosachoron, icosahedral cupola 3.077684 42, 150, 142, 34
ipixady 4D invertopental hexacosadishecatonicosachoron 3.077684 720, 3600, 5760, 840
lifpipixhi 4D polar facetopental prismatohexacosahecatonicosachoron 3.077684 720, 3600, 7560, 1440
nipixady 4D intercepted invertopental hexacosadishecatonicosachoron 3.077684 720, 3600, 6840, 840
papaid, pap || id, K-4.142 4D pentagonal-antiprism atop icosidodecahedron 3.077684 40, 130, 124, 34
paw, K-4.133, {10} || pap 4D antipentawedge, decagon - pentagonn-antiprismatic wedge, pentagonal gyrobicupolaic ring, {10} || pap, {5} || gyrated pecu 3.077684 20, 50, 43, 13
peppia pero, K-4.139 4D pentagonal-pyramid atop pentagonal-rotunda 3.077684 26, 75, 68, 19
pippy, K-4.141 4D pentagonal-prismatic pyramid, vertex pyramid of the rectified hexacosachoron 3.077684 11, 25, 22, 8
pybiscrox 4D pyritohedral bistratic icosahedron-first cap of rectified hexacosachoron 3.077684 96, 330, 318, 84
ridimex (alt.: idimrox) 4D rectified icosidiminished hexacosachoron, icosidiminished rectified hexacosachoron 3.077684 480, 1800, 1640, 320
risadi (alt.: idrox) 4D rectified snub icositetrachoron, icositetradiminished rectified hexacosachoron 3.077684 432, 1440, 1248, 240
rixhi 4D retroinverted hexacosahecatonicosachoron 3.077684 720, 3600, 4320, 720
rofix 4D rectified faceted hexacosichoron 3.077684 720, 3600, 2640, 240
rox 4D rectified hexacosachoron 3.077684 720, 3600, 3600, 720
... 4D rox+720pip (?) 3.077684
sadsadox 4D small disnub dihexacosachoron 3.077684 3600, 28800, 31200, 6000
sirphinady 4D small inverted retropental hecatonicosaintercepted dishecatonicosachoron 3.077684 720, 3600, 6360, 360
sophi 4D small prismatohecatonicosachoron 3.077684 720, 3600, 3240, 840
spidrox (alt.: hidrox) 4D swirlprismatodiminished rectified hexacosachoron, 120-diminished rectified hexacosachoron 3.077684 600, 2400, 2640, 840
sprapivady 4D small pentagonal retroprismatoverted dishecatonicosachoron 3.077684 720, 3600, 3120, 240
sridatidu 4D expanded axially-icosahedral ursachoron, (srid,tid)-based ursulate 3.077684 180, 450, 356, 76
sriphi 4D small retropental hecatonicosachoron 3.077684 720, 3600, 2520, 120
teddi aid, teddi || id, K-4.147 4D tridiminished icosahedron atop icosidodecahedron 3.077684 39, 120, 115, 34
... 4D xofo3ofox5xoxx&#xt 3.077684 210, 750, 736, 196
... 4D xoo3ofx5xox&#xt 3.077684 150, 390, 304, 64
... 4D hexastratic ike-first cap of rectified hexacosachoron 3.077684 264, 1140, 1124, 248
pripech 3D hyperbolic prismatorhombated order 5 cubic honeycomb, hyperbolic prismatotruncated order 4 dodecahedral honeycomb, hyperbolic runcicantellated order 5 cubic honeycomb, hyperbolic runcitruncated order 4 dodecahedral honeycomb 3.081165 i
crag (old: scrag) 6D cellirhombated hexacontitetrapeton, stericantellated hexacross 3.082207 5760, 28800, 45120, 29280, 7736, 536
copox 6D celliprismated hexeract, steriruncinated hexeract 3.087966 3840, 15360, 23360, 16320, 5148, 668
hopitjak (old: hoptijak) 6D demiprismatotruncated icosiheptaheptacontidipeton 3.109126 4320, 21600, 32400, 19440, 4662, 342
tagopal (old: gatopal) 6D terigreatoprismated heptapeton, pentiruncicantitruncated heptapeton 3.116775 2520, 8820, 11550, 6825, 1701, 126
2sophip 5D 2sophi prism 3.118034
roxip 5D rectified-hexacosachoron prism 3.118034 1440, 7920, 10800, 5040, 722
sophip 5D small-prismatohecatonicosachoron prism 3.118034 1440, 7920, 10080, 4920, 842
tacog 6D tericellated hexacontitetrapeton, pentitruncated hexeract 3.121320 1920, 8640, 16320, 15360, 6488, 728
grotepet (old: opeat) 2D great rhombitetrapentagonal tiling, omnitruncated pentagonal tiling, hyperbolic omnitruncated tetrapentagonal tiling 3.121470 i
hagocad 7D hexagon - great-cellated-dodecateron duoprism 3.122499 4320, 15120, 20880, 14400, 5172, 918, 68
trarox 6D triangle - rectified-hexacosachoron duoprism 3.131369 2160, 12960, 22320, 16560, 5763, 723
hatid 5D hexagon - truncated-dodecahedron duoprism 3.133309 360, 900, 792, 288, 38
gadixady 4D great dishexacosadishecatonicosachoron 3.139124 2400, 7200, 6240, 1440
gidthixhi 4D great ditrigonary hecatonicosihexacosihecatonicosachoron 3.139124 2400, 7200, 4560, 840
squarox 6D square - rectified-hexacosachoron duoprism 3.157869 2880, 17280, 29520, 20880, 6484, 724
torfy 8D trirectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t3(41,2) 3.162278 241920, 4838400, 14515200, 16934400, 9313920, 2661120, 382560, 19680
gipidded 3D hyperbolic great prismatodisdodecahedral honeycomb, hyperbolic omnitruncated order 5 dodecahedral tesselation 3.176503 i
gripech 3D hyperbolic great rhombated order 5 cubic honeycomb, hyperbolic cantitruncated order 5 cubic honeycomb 3.185991 i
... 3D w3x4x, variation of girco, hull of cotco 3.193704 48, 72, 26
mipthi 4D medial prismatotriakishecatonicosachoron 3.199386 7200, 18000, 10320, 1080
paqrigshi (old: paqraghi) 4D prismatoquasirhombated great stellated hecatonicosachoron (prismatoquasirhombated grand hecatonicosachoron) 3.199386 7200, 18000, 12480, 1680
croc 4D tetracontoctirhombated tetracontoctachoron 3.200413 1152, 2304, 1104, 96
tocto 8D truncated octeract 3.232607 2048, 8192, 16128, 19712, 15456, 7616, 2160, 272
... 3D f3v5v, variation of grid, hull of idtid 3.236068 120, 180, 62
pattin 5D prismatotruncated penteract, runcitruncated penteract 3.239235 960, 3360, 3760, 1560, 202
prohagrit 5D proh atop grit, proh-first segment of pattin 3.239235 384, 1248, 1384, 600, 82
sroptin 5D small retroprismatotruncated penteract 3.239235 960, 3360, 3440, 1240, 132
ticca gircope 5D truncated-cube atop great-rhombicuboctahedron-prism 3.239235 120, 324, 330, 153, 29
betsa 7D bitruncated hepteract 3.240370 2688, 9408, 14112, 11760, 5656, 1428, 142
otid 5D octagon - truncated-dodecahedron duoprism 3.244185 480, 1200, 1036, 354, 40
giphin 5D great prismated hemipenteract, steriruncicantic penteract 3.259601 960, 2400, 2080, 720, 82
sarxa gippixtum 6D sarx-first bistratic cap of shorjak, sarx-based tutsatope, sarx-based tutism 3.265986 480, 1620, 2080, 1280, 389, 49
shorjak 6D small demirhombated icosiheptaheptacontidipeton 3.265986 4320, 19440, 27360, 15840, 3942, 342
crax (old: scrax) 6D (small) cellirhombated hexeract, stericantellated hexeract 3.277597 5760, 28800, 45600, 30240, 8348, 668
caprohax 6D small celliprismatorhombated hemihexeract, steriruncicantellated demihexeract, pentisteriruncic hexeract 3.278719 3840, 15360, 21760, 13440, 3496, 296
capthix 6D small celliprismatotruncated hemihexeract, steriruncitruncated demihexeract, pentistericantic hexeract 3.278719 5760, 23040, 31200, 17760, 4136, 296
girhax 6D great rhombated hemihexeract, cantitruncated demihexeract, runcicantic hexeract 3.278719 1920, 5760, 6560, 3520, 876, 76
botnaq 7D truncated hecatonicosihexapentacosiheptacontihexaexon 3.278719 12096, 72576, 165312, 161280, 68040, 12348, 758
srawv ditathi 4D small retrosphenoverted ditrigonary triakishecatonicosachoron 3.294556 3600, 10800, 7680, 360
swavixady 4D small sphenoverted hexacosadishecatonicosachoron 3.294556 3600, 10800, 7440, 840
rerico 4D x3o4q3o, rectified rectified-icositetrachoron, variation of small rhombated icositetrachoron 3.316625 288, 864, 720, 144
copog 6D celliprismated hexacontitetrapeton, steriruncinated hexacross 3.316625 3840, 15360, 24000, 17280, 5336, 536
sram (old: skobram, skabram) 6D small rhombated pentacontitetrapeton, (small hebdomecontadiabirhombated pentacontitetrapeton) 3.316625 6480, 32400, 45360, 25920, 7326, 846
sirlaq 7D small rhombated pentacontihexapentacosiheptacontihexaexon 3.316625 30240, 272160, 534240, 443520, 186984, 38556, 2774
... 5D hyperbolic truncated order 3 icositetrachoric-tetracomb pentacomb 3.316625 i
gacal 6D great cellated heptapeton, steriruncicantitruncated heptapeton 3.380617 2520, 7560, 8610, 4620, 1155, 105
sirghi 4D small rhombated great hecatonicosachoron 3.387054 3600, 10800, 7200, 960
srawv hidy 4D small retrosphenoverted hecatonicosadishecatonicosachoron 3.387054 3600, 10800, 6000, 360
gibrant 5D great birhombated penteractitriacontiditeron, bicantitruncated penteract 3.391165 960, 2400, 2160, 840, 122
gaborg 6D great birhombihexacontitetrapeton, bicantitruncated hexacross 3.391165 2880, 10080, 13440, 8400, 2396, 236
sirghia 5D small rhombated great hecatonicosachoron alterprism 3.404434 7200, 36000, 43200, 17040, 1682
retic (alt.: amtic) 3D rectified/ambified truncated cube 3.414214 36, 72, 38
... 4D 2cont (?) 3.414214
cont 4D tetracontoctachoron, octagonny, bitruncated icositetrachoron 3.414214 288, 576, 336, 48
sirghipe 5D small-rhombated-great-hecatonicosachoron prism 3.423760 7200, 25200, 25200, 9120, 962
contip 5D tetracontoctachoron prism, bitruncated-icositetrachoron prism 3.450631 576, 1440, 1248, 432, 50
ten 9D truncated enneract 3.450631 4608, 20736, 47616, 69888, 68544, 45024, 19104, 4752, 530
catax 6D cellitruncated hexeract 3.456841 3840, 19200, 34080, 25440, 7388, 668
... 3D x3f5o, variation of ti, hull of raded, hull of kri 3.463334 60, 90, 32
boprax 6D biprismatorhombated hexeract, biruncitruncated hexacross 3.464102 5760, 23040, 31680, 19200, 5276, 476
griddoh 3D hyperbolic great rhombated (order 4) dodecahedral honeycomb, hyperbolic cantitruncated order 4 dodecahedral honeycomb 3.466586 i
taghi 4D truncated grand hecatonicosachoron 3.477092 1440, 4320, 3120, 240
tighi 4D truncated great hecatonicosachoron 3.477092 1440, 4320, 2160, 240
... 4D 2prico (?) 3.498949
gidpith 4D great disprismatotesseractihexadecachoron, great prismated tesseract, omnitruncated tesseract 3.498949 384, 768, 464, 80
prico 4D prismatorhombated icositetrachoron, runcitruncated icositetrachoron 3.498949 576, 1440, 1104, 240
sipti 4D small prismatotriakisicositetrachoron 3.498949 576, 1440, 960, 168
sirpdi 4D small rhombiprismic disicosatetrachoron 3.498949 576, 1440, 912, 144
toagirco, toe || girco, K-4.149 4D truncated octahedron atop great rhombicuboctahedron, truncated octahedral cap of prismatorhombated icositetrachoron 3.498949 72, 156, 112, 28
nippant 5D penteractiprismated penteractitriacontaditeron 3.505073 3840, 9600, 7680, 2160, 172
pricoa (old: pricoalprico) 5D prismatorhombated-icositetrachoron alterprism, prismatorhombated-icositetrachoron atop alternate prismatorhombated-icositetrachoron 3.522336 1152, 4032, 4512, 1872, 242
gipthi 4D great prismatotriakishecatonicosachoron 3.531591 7200, 18000, 10320, 1560
quippirfix 4D quasiprismatorhombated faceted hexacosachoron 3.531591 7200, 18000, 12480, 2160
cogart (old: gocart) 5D celligreatorhombated triacontiditeron, (great cellirhombated triacontiditeron), stericantitruncated pentacross 3.534493 1920, 5760, 5920, 2320, 242
gidpithip 5D great-disprismatotesseractihexadecachoric prism, great-prismated-tesseract prism, central segment of cogart 3.534493 768, 1920, 1696, 624, 82
pricope (old: pripe) 5D prismatorhombated-icositetrachoron prism, runcitruncated-icositetrachoron prism 3.534493 1152, 3456, 3648, 1584, 242
prissia 5D prismatorhombisnub icositetrachoric alterprism, triangle-alternation of prismatorhombated icositetrachoric prism 3.534493 576, 2880, 4224, 2256, 338
sibcotdin 5D small biprismatocellitriacontadiadispenteract 3.534493 1920, 5760, 5440, 1840, 172
bato 8D bitruncated octeract 3.535534 7168, 28672, 51968, 55552, 36960, 14784, 3184, 272
respic 4D rectified small prismated tetracontoctachoron 3.557647 576, 2304, 2112, 384
haprojak 6D demiprismatorhombated icosiheptapeton 3.559026 6480, 25920, 34560, 19440, 4662, 342
girn 5D great rhombated penteract, cantitruncated penteract 3.563671 640, 1600, 1520, 680, 122
togrig (old: gotrig) 6D terigreatorhombihexacontitetrapeton, (old: great terirhombated hexacontatetrapeton), penticantitruncated hexacontitetrapeton 3.569684 7680, 30720, 47360, 33600, 10008, 728
berlin (old: shabrilq) 7D birectified pentacontihexahecatonicosihexaexon (small demibirhombated pentacontihexapentacosiheptacontihexaexon) 3.570714 40320, 302400, 544320, 403200, 142632, 22428, 758
prox 6D prismatorhombated hexeract, runcicantellated hexeract 3.598576 3840, 13440, 17600, 11200, 3708, 508
grih 3D hyperbolic great rhombated order 3 icosahedral honeycomb, hyperbolic cantitruncated order 3 icosahedral honeycomb 3.601065 i
hihiquatady 4D hecatonicosihecatonicosiquasitruncated dishecatonicosachoron 3.605551 7200, 14400, 6480, 360
girjak 6D great rhombated icosiheptaheptacontidipeton 3.605551 4320, 17280, 24480, 15120, 3942, 342
prishi 4D prismatorhombisnub hecatonicosachoron 3.625437 3600, 21600, 20640, 3960
boprag 6D biprismatorhombated hexacontitetrapeton, biruncitruncated hexeract 3.674235 5760, 23040, 32160, 19680, 5276, 476
grotoct (old: otoct) 2D hyperbolic great rhombated trioctagonal tiling, hyperbolic omnitruncated trioctagonal tiling 3.699185 i
captint 5D celliprismatotruncated penteractitriacontiditeron, steriruncitruncated penteract, steriruncitruncated pentacross 3.701317 1920, 5760, 5760, 2160, 242
sircaptint (old: srecaptint) 5D small retrocelliprismatotruncated penteractitriacontaditeron 3.701317 1920, 5760, 5440, 1840, 172
... 4D 2hi (?) 3.702459
hi, pD 4D hecatonicosachoron, 120-cell, dodecacontachoron, twelftychoron, cosmochoron, dodecaplex, polydodecahedron, hyperdodecahedron 3.702459 600, 1200, 720, 120
hidhi 4D hecatonicosa-diminished hecatonicosachoron 3.702459 480, 1440, 1200, 240
tolin 7D truncated pentacontihexahecatonicosihexaexon 3.708099 20160, 131040, 241920, 191520, 72072, 12348, 758
tocrax (old: stocrax) 6D (small) tericellirhombated hexeract, pentiruncitruncated hexacontitetrapeton 3.734936 11520, 51840, 77760, 48480, 11768, 728
hipe 5D hecatonicosachoron prism 3.736068 1200, 3000, 2640, 960, 122
gotaf 6D great terated tetradecapeton, omnitruncated heptapeton, Voronoi cell of lattice A6*, permutopeton of 7 elements 3.741657 5040, 15120, 16800, 8400, 1806, 126
titam (old: cacram, totam, tomak, katom) 6D tritruncated pentacontitetrapeton, (centrocellirhombated pentacontitetrapeton, trunkated pentacontitetraheptacontidipeton, heptacontiditruncated pentacontitetrapeton) 3.741657 8640, 34560, 47520, 28080, 7038, 558
trahi 6D triangle - hecatonicosachoron duoprism 3.747204 1800, 5400, 6360, 3720, 1083, 123
potax 6D prismatotruncated hexeract, runcitruncated hexeract 3.762560 3840, 17280, 25280, 16000, 4668, 508
squahi 6D square-hecatonicosachoron duoprism 3.769377 2400, 7200, 8280, 4560, 1204, 124
gotafip 7D great-terated-tetradecapeton prism 3.774917 10080, 35280, 48720, 33600, 12012, 2058, 128
theat 2D truncated heptagonal tiling, hyperbolic order 3 truncated heptagonal tiling 3.792295 i
grid 3D great (convex) rhombicosidodecahedron (i.e. not qrid), truncated icosidodecahedron, omnitruncated icosahedron, omnitruncated dodecahedron 3.802395 120, 180, 62
... 3D β3x5β (?) 3.802395 120, 240, 92
gixathi 4D great hexacositriakishecatonicosachoron 3.804226 7200, 18000, 11280, 960
hixtixhi 4D hecatonicosihexacositruncated hexacosihecatonicosachoron 3.804226 7200, 18000, 9120, 960
titajak (old: totajik, oldest: hibtajak) 6D tritruncated icosiheptaheptacontidipeton, (demibitruncated icosiheptaheptacontidipeton) 3.829708 4320, 12960, 14400, 7200, 1566, 126
griddip, K-4.150 4D great-rhombicosidodecahedron prism 3.835128 240, 480, 304, 64
sidtidasiid 4D small ditrigonary icosidodecahedron atop small icosicosidodecahedron, sidtid cap of stut phiddix 3.835128 80, 240, 204, 54
sit thixady 4D small tritrigonal hecatonicosihexacosidishecatonicosachoron 3.835128 2400, 10800, 7680, 960
stut dixady 4D small tritrigonal dihexacosidihecatonicosachoron 3.835128 2400, 10800, 8640, 1440
stut phiddix 4D small tritrigonal prismatohecatonicosidishexacosachoron 3.835128 2400, 10800, 9840, 2040
stut pixady 4D small tritrigonal prismatohexacosidihecatonicosachoron 3.835128 2400, 10800, 8880, 1560
stut thix 4D small tritrigonal trishecatonicosihexacosachoron 3.835128 2400, 10800, 7680, 960
stut xethi 4D small tritrigonal hexacositrishecatonicosachoron 3.835128 2400, 10800, 7680, 960
stuttixady 4D small tritrigonary hexacosidishecatonicosachoron 3.835128 2400, 10800, 9840, 840
tiatid, ti || tid, K-4.151 4D truncated icosahedron atop truncated dodecahedron 3.835128 120, 300, 244, 64
... 4D x3o3o5v, variation of small disprismatohexacosihecatonicosachoron 3.835128 2400, 7200, 7440, 2640
tragrid 5D triangle - great-rhombicosidodecahedron duoprism 3.845977 360, 900, 846, 369, 65
stut phiddixa 5D small tritrigonal prismatohecatonicosidishexacosachoron alterprism 3.855219 4800, 28800, 41280, 19920, 2042
squagrid 5D square - great-rhombicosidodecahedron duoprism 3.867584 480, 1200, 1088, 432, 66
xithi 4D hexacositriakishecatonicosachoron 3.872983 14400, 28800, 14880, 960
gippit 5D great prismated triacontiditeron, omnitruncated hemipenteract 3.872983 1920, 4800, 4160, 1440, 162
gopog 6D great prismated hexacontitetrapeton, runcicantitruncated hexacross 3.872983 5760, 20160, 26400, 15600, 3896, 296
patom (old: kaprom) 6D prismatotruncated pentacontitetrapeton, runcitruncated pentacontitetrapeton, (heptacontidiprismatorhombated pentacontitetrapeton) 3.872983 12960, 58320, 86400, 54000, 14238, 1278
gabach 7D great bicellihexadecaexon 3.872983 10080, 35280, 49560, 35700, 13832, 2688, 198
buffy 8D diacositetracont-dischiliahectohexacont-myriaheptachiliadiacosioctaconta-zetton, rectified bif:  t1(12,4), birectified bay:  t2(21,4), tetrarectified fy:  t4(41,2), Gosset polytope 04,2,1 3.872983 483840, 7257600, 16934400, 16934400, 9072000, 2661120, 382560, 19680
gippitip 6D great-prismated-triacontiditeron prism 3.905125 3840, 11520, 13120, 7040, 1764, 164
hagrid 5D hexagon - great-rhombicosidodecahedron duoprism 3.931692 720, 1800, 1572, 558, 68
cagorg (old: gacorg) 6D celligreatorhombihexacontitetrapeton, (old: great cellirhombated hexacontatetrapeton), stericantitruncated hexacontatetrapeton 3.937004 11520, 46080, 63360, 36480, 8216, 536
mrawv hixhi 4D medial retrosphenoverted hecatonicosihexacosihecatonicosachoron 3.963358 3600, 10800, 6960, 840
sirsashi 4D small rhombated small stellated hecatonicosachoron 3.963358 3600, 10800, 8160, 1440
cogrin (old: gocrin) 5D celligreatorhombated penteract (great cellirhombated penteract), stericantitruncated penteract 3.988340 1920, 5760, 6000, 2400, 242
gritta gidpith 5D grit atop gidpith, grit-first segment of cogrin 3.988340 576, 1536, 1480, 600, 82
srocgrin 5D small retrocelligreat rhombated penteract 3.988340 1920, 5760, 5680, 2080, 212
gaborx 6D great birhombated hexeract, bicantitruncated hexeract 4 3840, 11520, 13760, 8320, 2556, 316
hagippit 7D hexagon - great-prismated-triacontiditeron duoprism 4 11520, 40320, 55680, 38400, 13772, 2418, 168
toby (old: tobay) 8D truncated diacositetracont-myriaheptachiliadiacosioctaconta-zetton 4 138240, 1520640, 5322240, 7257600, 4717440, 1693440, 313440, 19680
ogrid 5D octagon - great-rhombicosidodecahedron duoprism 4.020611 960, 2400, 2056, 684, 70
grox 6D great rhombihexeract, cantitruncated hexeract 4.045239 1920, 5760, 7280, 4960, 1788, 268
ghipady 4D great hecatonicosiprismatodishecatonicosachoron 4.087567 7200, 18000, 11280, 1080
gid thipady 4D great ditrigonary hecatonicosiprismatodishecatonicosachoron 4.087567 7200, 18000, 10320, 1080
gophax 6D great prismated demihexeract, steriruncicantic hexeract 4.092676 5760, 17280, 19680, 10560, 2636, 236
retah (alt.: amtah) 4D rectified/ambified tesseractihexadecachoron 4.123106 192, 576, 504, 120
bitem (old: gacram, botam, kobtam) 6D bitruncated pentacontitetrapeton, (great centrorhombated pentacontitetrapeton, heptacontidia-bitruncated pentacontitetrapeton) 4.123106 6480, 19440, 21600, 10800, 2286, 126
captog 6D celliprismatotruncated hexacontitetrapeton, steriruncitruncated hexacross 4.123106 11520, 40320, 50880, 28320, 6446, 536
botlaq 7D bitruncated pentacontihexapentacosiheptacontihexaexon 4.123106 30240, 151200, 252000, 191520, 72072, 12348, 758
dahiquatady 4D dishecatonicosiquasitruncated dishecatonicosachoron 4.134026 7200, 14400, 6000, 360
sid tipathi 4D small ditrigonary prismatotriakishecatonicosachoron 4.179968 7200, 18000, 11280, 1560
sphixhi 4D small prismatohecatonicosihexacosihecatonicosachoron 4.179968 7200, 18000, 12240, 2040
gaquidphihi 4D great quasidisprismatohecatonicosihecatonicosachoron 4.242641 14400, 28800, 16080, 1680
gidpicdoh 3D hyperbolic great disprismated cubical-dodecahedral honeycomb, hyperbolic omnitruncated order 5 cubical honeycomb, hyperbolic omnitruncated order 4 dodecahedral honeycomb 4.248159 i
gaquitxog 6D great quasiterated hexeractihexacontatetrapeton 4.288753 46080, 138240, 151680, 72960, 14168, 728
... 4D 2grico (?) 4.299451
grico 4D great rhombated icositetrachoron, cantitruncated icositetrachoron 4.299451 576, 1152, 720, 144
gipiddih 3D hyperbolic great prismatodisicosahedral honeycomb, hyperbolic omnitruncated order 3 icosahedral honeycomb 4.308399 i
gricoa (old: gricoalgrico) 5D great-rhombated-icositetrachoron alterprism, great-rhombated-icositetrachoron atop alternate great-rhombated-icositetrachoron 4.311477 1152, 3456, 3744, 1680, 242
... 3D v3x5f, variation of grid, hull of gaquatid 4.323687 120, 180, 62
gricope (old: gripe) 5D great-rhombated-icositetrachoron prism, cantitruncated-icositetrachoron prism 4.328427 1152, 2880, 2592, 1008, 146
... 3D f3x5x, variation of great rhombicosidodecahedron, hull of quitdid 4.341518 120, 180, 62
resrid (alt.: amsrid) 3D rectified/ambified small-rhombated-icosidodecahedron 4.352502 120, 240, 122
diddatigid, did || tigid 4D dodecadodecahedron atop truncated great dodecahedron, did-first cap of sirfix 4.352502 90, 210, 138, 26
sirfix 4D small rhombated faceted hexacosachoron 4.352502 3600, 10800, 7680, 960
srawvathi 4D small retrosphenoverted triakishecatonicosachoron 4.352502 3600, 10800, 5520, 360
gippin 5D great prismated penteract, runcicantitruncated penteract 4.371952 1920, 4800, 4240, 1560, 202
coprix 6D (small) celliprismatorhombated hexeract, steriruncicantellated hexeract 4.400450 11520, 40320, 52800, 31680, 8348, 668
coprag 6D celliprismatorhombated hexacontitetrapeton, steriruncicantellated hexacross 4.415880 11520, 40320, 52800, 31200, 7736, 536
dohitipady 4D dishecatonicositruncated prismatodishecatonicosachoron 4.472136 14400, 28800, 14880, 1560
... 4D 2fry (?) 4.534568
... 4D 2rahi (?) 4.534568
... 4D 2rahi+2400tet (?) 4.534568
bicypdrahi 4D (bistratic) bi-cyclopentadiminished rectified hecatonicosachoron 4.534568 700, 1800, 1410, 310
biscrahi 4D bistratic icosidodecahedron-first cap of rectified hecatonicosachoron 4.534568 110, 270, 214, 54
fry 4D facetorectified hecatonicosachoron 4.534568 1200, 3600, 3120, 720
rahi 4D rectified hecatonicosachoron 4.534568 1200, 3600, 3120, 720
ripahi 4D retroinverted prismatohecatonicosachoron 4.534568 720, 3600, 4440, 840
... 4D ripahi+600 2thah (?) 4.534568
shinhi 4D small hecatonicosintercepted hecatonicosachoron 4.534568 1200, 3600, 3840, 240
graghi 4D great rhombated grand hecatonicosachoron 4.550627 7200, 14400, 8160, 960
rahipe 5D rectified-hecatonicosachoron prism 4.562051 2400, 8400, 9840, 4560, 722
trarahi 6D triangle - rectified-hecatonicosachoron duoprism 4.571175 3600, 14400, 21360, 15120, 5283, 723
prom (old: kaptom) 6D prismatorhombated pentacontitetrapeton, (heptacontidiprismatotruncated pentacontitetrapeton) 4.582576 25960, 103680, 140400, 79920, 18558, 1278
guph 7D great petated hexadecaexon, hexipentisteriruncicantitruncated octaexon, omnitruncated octaexon, permutoexon of 8 elements 4.582576 40320, 141120, 191520, 126000, 40824, 5796, 254
squarahi 6D square - rectified-hecatonicosachoron duoprism 4.589369 4800, 19200, 28080, 18960, 6004, 724
bhidtex 4D bi-hecatonicosidiminished truncated hexacosichoron 4.643523 1200, 3600, 3240, 840
iktum 4D bistratic icosahedron-first cap of truncated hexacosachoron, ike-based tutsatope, ike-based tutism 4.643523 84, 192, 142, 34
tex 4D truncated hexacosachoron 4.643523 1440, 4320, 3600, 720
tidimex (alt.: idimtex) 4D truncated icosidiminished hexacosachoron, icosidiminished truncated hexacosachoron 4.643523 960, 2280, 1640, 320
tiffix 4D truncated faceted hexacosichoron 4.643523 1440, 4320, 2640, 240
tisadi (alt.: idtex) 4D truncated snub icositetrachoron, icositetradiminished truncated hexacosachoron 4.643523 864, 1872, 1248, 240
gidditdid aidtid 4D great ditrigonary dodekicosidodecahedron atop icosidodecatruncated icosidodecahedron 4.684471 180, 840, 268, 46
sik vadixady 4D small skewverted dishexacosidishecatonicosachoron 4.684471 7200, 21600, 14640, 1440
sik vixathi 4D small skewverted hexacositriakishecatonicosachoro 4.684471 7200, 21600, 13680, 960
skiv datapixady 4D small skewverted ditrigonary prismatohexacosadishecatonicosachoron 4.684471 7200, 21600, 14880, 1560
texip 5D truncated-hexacosachoron prism 4.749980 2880, 10080, 11520, 5040, 722
grothet (old: othet) 2D hyperbolic great rhombitruncated triheptagonal tiling, hyperbolic omnitruncated triheptagonal tiling 4.779184 i
gacnet 5D great cellated penteractitriacontiditeron, omnitruncated penteract, omnitruncated pentacross 4.829189 3840, 9600, 8160, 2640, 242
reti (alt.: amti) 3D rectified/ambified truncated icosahedron 4.854102 90, 180, 92
gacnetip 6D great-cellated-penteractitriacontiditeron prism 4.855004 7680, 23040, 25920, 13440, 3124, 244
pirghi 4D prismatorhombated great hecatonicosachoron 4.917351 7200, 18000, 11520, 1680
siphidy 4D small prismated hecatonicosadishecatonicosachoron 4.917351 7200, 18000, 10320, 1080
pirghia 5D prismatorhombated great hecatonicosachoron alterprism 4.923348 14400, 50400, 51840, 18480, 1682
gram (old: gakbram) 6D great rhombated pentacontitetrapeton, (old: great heptacontiduo-birhombated pentacontitetrapeton), cantitruncated pentacontitetrapeton 5 12960, 38880, 45360, 25920, 7326, 846
gaqrisashi 4D great quasirhombated small stellated hecatonicosachoron 5.018002 7200, 14400, 8160, 1440
gippic 4D great prismatotetracontoctachoron, omnitruncated icositetrachoron 5.169905 1152, 2304, 1392, 240
gippiccup 5D great-prismatotetracontoctachoron prism, omnitruncated-icositetrachoron prism 5.194028 2304, 5760, 5088, 1872, 242
... 4D tetracontadisdiminished sidpixhi 5.236068 1560, 3720, 2856, 696
bidsid pixhi 4D bi-icositetra-diminished small disprismatohexacosihecatonicosachoron 5.236068 1440, 3240, 2256, 456
doa pabidrid, doe || pabidrid, K-4.155 4D dodecahedron atop parabidiminished rhombicosidodecahedron 5.236068 70, 170, 144, 44
doasrid, doe || srid, K-4.152 4D dodecahedron atop small rhombicosidodecahedron, dodecahedral cap of small disprismatohexacosihecatonicosachoron 5.236068 80, 210, 194, 64
idim sidpixhi 4D icosa-diminished small disprismatohexacosihecatonicosachoron 5.236068 2000, 5400, 4800, 1400
idsid pixhi 4D icositetra-diminished small disprismatohexacosihecatonicosachoron 5.236068 1920, 5040, 4272, 1152
pecuf, K-4.154 4D pentagonal cupofastegium, decagon - pentagon-prismatic wedge, pentagonal orthobicupolaic ring, {10} || pip, {5} || pecu, 2/5-luna of stawros 5.236068 20, 45, 38, 13
sidpixhi 4D small disprismatohexacosihecatonicosachoron, runcinated hecatonicosachoron, runcinated hexacosachoron 5.236068 2400, 7200, 7440, 2640
six fipady 4D small hexacosafaceted prismatodishecatonicosachoron 5.236068 2400, 7200, 7440, 1440
... 4D six fipady+1200tet (?) 5.236068
sixhihy 4D small hexacosihecatonicosihecatonicosachoron 5.236068 2400, 7200, 4560, 840
gocog 6D great cellated hexacontitetrapeton, steriruncicantitruncated hemihexeract, omnitruncated hemihexeract 5.244044 23040, 69120, 76800, 38400, 8216, 536
sidpixhip 5D small-disprismatohexacosihecatonicosachoron prism, runcinated-hecatonicosachoron prism, runcinated-hexacosachoron prism 5.259887 4800, 16800, 22080, 12720, 2642
rawvid tixady 4D retrosphenoverted ditrigonary hexacosadishecatonicosachoron 5.330704 3600, 10800, 6960, 840
wavhiddix 4D sphenoverted hecatonicosadishexacosachoron 5.330704 3600, 10800, 7920, 1320
wavhiddixa 5D sphenoverted hecatonicosadishexacosachoron alterprism 5.345177 7200, 28800, 30240, 10560, 1322
gabrim (old: prarm, older: girmak, oldest: gokorm) 6D great birhombated pentacontitetrapeton (prismatorhombated rectified pentacontitetrapeton), bicantitruncated pentacontitetrapeton 5.385165 25920, 77760, 86400, 43200, 9198, 558
goxeb 8D great exi-octadecazetton, permutozetton of 9 elements 5.477226 362880, 1451520, 2328480, 1905120, 834120, 186480, 18150, 510
pirshi 4D prismatorhombated (small) stellated hecatonicosachoron 5.515107 7200, 18000, 12480, 2160
sphihix 4D small prismatohecatonicosahecatonicosahexacosachoron 5.515107 7200, 18000, 11280, 1560
sidhiquit paddy 4D small dishecatonicosaquasitruncated prismatodishecatonicosachoron 5.605034 14400, 28800, 13920, 1080
tabif 8D truncated diacositetracont-dischiliahectohexaconta-zetton 5.830952 967680, 7741440, 16934400, 16934400, 9072000, 2661120, 382560, 19680
retid (alt.: amtid) 3D rectified/ambified truncated dodecahedron 5.854102 90, 180, 92
shihi 4D small hecatonicosihecatonicosachoron 5.854102 3600, 7200, 3360, 240
... 4D 2srix (?) 6.073594
... 4D 2srix+2400{6}+4800{3} (?) 6.073594
... 4D 2srix+2400{6}+7200{3} (?) 6.073594
arse biscrahi 4D bistratic icosidodecahedron-first subsegment of small rhombihexacosachoron, around-symmetrically expanded biscrahi 6.073594 240, 570, 414, 84
idati, id || ti, K-4.158 4D icosidodecahedron atop truncated icosahedron, icosidodecahedral cap of small rhombated hexacosachoron 6.073594 90, 210, 154, 34
idimsrix 4D icosa-diminished small rhombated hexacosachoron 6.073594 3000, 8400, 6600, 1200
idsrix 4D icositetra-diminished small rhombated hexacosachoron 6.073594 2880, 7920, 6192, 1152
pirsady 4D pseudorhombated small dishecatonicosachoron 6.073594 3600, 10800, 8160, 960
srawv hixhi 4D small retrosphenoverted hecatonicosihexacosihecatonicosachoron 6.073594 3600, 10800, 7440, 840
srix 4D small rhombated hexacosachoron, cantellated hexacosachoron 6.073594 3600, 10800, 8640, 1440
tiscsrix 4D tristratic icosidodecahedron-first cap of small rhombihexacosachoron 6.073594 270, 690, 516, 96
srixip 5D small-rhombated-hexacosachoron prism, cantellated-hexacosachoron prism 6.094140 7200, 25200, 28080, 11520, 1442
hixthix 4D hecatonicosihexacositruncated hecatonicosihexacosachoron 6.186316 7200, 14400, 6960, 840
gopam (old: gakpam) 6D great prismated pentacontitetrapeton, (great heptaheptacontidiprismated pentacontitetrapeton), omnitruncated pentacontitetrapeton, omnitruncated icosiheptaheptacontidipeton 6.244998 51840, 155520, 172800, 86400, 18558, 1278
gopamp 7D great-prismated-pentacontitetrapeton prism 6.264982 103680, 362880, 501120, 345600, 123516, 21114, 1280
gotaxog 6D great terated hexeractihexacontatetrapeton 6.293378 46080, 138240, 151680, 72960, 14168, 728
... 4D hexacosachoron-derived Gévay polychoron, rectified o3m3o5o 6.412847 3600, 10800, 8640, 1440
goquidipdy 4D great quasidisprismatodishecatonicosachoron 6.566933 14400, 28800, 16080, 2160
... 4D 2srahi (?) 6.735034
... 4D 2srahi+1440{10}+4800{3} (?) 6.735034
... 4D 2srahi+2400trip (?) 6.735034
idimsrahi 4D icosa-diminished small rhombated hecatonicosachoron 6.735034 2400, 6000, 4520, 920
idsrahi 4D icositetra-diminished small rhombated hecatonicosachoron 6.735034 2160, 5040, 3600, 720
pepuf, K-4.165 4D pentagonal pucofastegium, pentagon - decagon-prismatic wedge, pentagonal magnabicupolaic ring, {5} || dip, {10} || pecu, {5}-first cap of srahi 6.735034 25, 55, 43, 13
pinpixhi 4D prismatointercepted prismatohexacontahecatonicosachoron 6.735034 3600, 10800, 12360, 2640
... 4D pinpixhi+1800{4} (?) 6.735034
sgysrahi 4D swirl-gyrated small rhombated hecatonicosachoron, swirl-gyrated cantellated hecatonicosachoron 6.735034 3600, 10800, 9720, 2520
sidsrahi 4D swirl-diminished small rhombated hecatonicosachoron, swirl-diminished cantellated hecatonicosachoron 6.735034 3000, 7800, 6240, 1440
spriphi 4D small pseudorhombated prismatohecatonicosachoron 6.735034 3600, 10800, 9240, 2040
... 4D spriphi+600 2thah (?) 6.735034
srahi 4D small rhombated hecatonicosachoron, cantellated hecatonicosachoron 6.735034 3600, 10800, 9120, 1920
srawvixady 4D small retrosphenoverted hexacosadishecatonicosachoron 6.735034 3600, 10800, 6960, 840
sridatid, K-4.159 4D small rhombicosidodecahedron atop truncated dodecahedron, small-rhombicosidodecahedral cap of small rhombated hecatonicosachoron 6.735034 120, 330, 274, 64
gotaz 7D great terated hecatonicosoctaexon, great terated heptacross 6.745369 322560, 1128960, 1532160, 1008000, 326032, 45528, 1738
srahip (old: srahipe) 5D small-rhombated-hecatonicosachoron prism 6.753568 7200, 25200, 29040, 12960, 1922
recont 4D rectified tetracontoctachoron 6.754807 576, 1728, 1488, 336
sixipady 4D small hexacosiprismatodishecatonicosachoron 6.881910 7200, 18000, 11280, 1560
sphiddix 4D small prismatohecatonicosadishexacosachoron 6.881910 7200, 18000, 12240, 2040
sphiddixa 5D small prismatohecatonicosadishexacosachoron alterprism 6.893126 14400, 50400, 53280, 19920, 2042
girfix 4D great rhombated faceted hexacosachoron 7.404918 7200, 14400, 7680, 960
... 4D 2xhi (?) 7.579634
xhi 4D hexacosihecatonicosachoron, bitruncated hecatonicosachoron, bitruncated hexacosachoron 7.579634 3600, 7200, 4320, 720
xhip 5D hexacosihecatonicosachoron prism, bitruncated-hecatonicosachoron prism, bitruncated-hexacosachoron prism 7.596108 7200, 18000, 15840, 5760, 722
hixtaphix 4D hecatonicosihexacositruncated prismatohecatonicosihexacosachoron 7.735167 14400, 28800, 14880, 1560
thi 4D truncated hecatonicosachoron 8.218334 2400, 4800, 3120, 720
thipe 5D truncated-hecatonicosachoron prism 8.233530 4800, 12000, 11040, 4560, 722
... 4D 2prahi (?) 8.278950
idprahi 4D icositetra-diminished prismatorhombated hecatonicosachoron 8.278950 4320, 9360, 6192, 1152
prahi 4D prismatorhombated hecatonicosachoron, runcitruncated hexacosachoron 8.278950 7200, 18000, 13440, 2640
spixady 4D small prismatohexacosadishecatonicosachoron 8.278950 7200, 18000, 11280, 1560
srida gridtum 4D bistratic srid-cap of prahi, (srid,grid)-based tutsachoron, (srid,grid)-based tutism 8.278950 240, 540, 376, 76
sripady 4D small rhombiprismic dishecatonicosachoron 8.278950 7200, 18000, 11040, 1440
prahip (old: prahipe) 5D prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism 8.294035 14400, 43200, 44880, 18720, 2642
rerahi 4D o3x3o5f, rectified rectified-hecatonicosachoron, variation of srahi 9.013835 3600, 10800, 9120, 1920
... 4D 2grix (?) 9.124101
grix 4D great rhombated hexacosachoron, cantitruncated hexacosachoron 9.124101 7200, 14400, 8640, 1440
grixip 5D great-rhombated-hexacosachoron prism 9.137791 14400, 36000, 31680, 11520, 1442
... 4D 2prix (?) 9.744610
idprix 4D icositetra-diminished prismatorhombated hexacosachoron 9.744610 5760, 12960, 8832, 1632
prix 4D prismatorhombated hexacosichoron, runcitruncated hecatonicosachoron 9.744610 7200, 18000, 13440, 2640
sirpaxhi 4D small rhombiprismic hexacosahecatonicosachoron 9.744610 7200, 18000, 11040, 1440
spixhihy 4D small prismatohexacosihecatonicosihecatonicosachoron 9.744610 7200, 18000, 12240, 2040
tidagrid, tid || grid, K-4.173 4D truncated dodecahedron atop great rhombicosidodecahedron, truncated-dodecahedral cap of prismatorhombated hexacosichoron 9.744610 180, 390, 274, 64
prixip 5D prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism 9.757429 14400, 43200, 44880, 18720, 2642
gotanq (old: gotalq) 7D great terated hecatonicosihexapentacosiheptacontihexaexon, omnitruncated Gosset polyexon 32,1, great terated pentacontihexapentacosiheptacontihexaexon, omnitruncated Gosset polyexon 21,3, great terated pentacontihexahecatonicosihexaexon, omnitruncated Gosset polyexon 12,3 9.987492 2903040, 10160640, 13789440, 9072000, 2938320, 415800, 17642
residpixhi (alt.: amsidpixhi) 4D rectified/ambified small-disprismated-hexacosihecatonicosachoron 10.424281 7200, 28800, 26640, 5040
... 4D 2grahi (?) 11.252107
grahi 4D great rhombated hecatonicosachoron, cantitruncated hecatonicosachoron 11.252107 7200, 14400, 9120, 1920
grahip (old: grahipe) 5D great-rhombated-hecatonicosachoron prism, cantitruncated-hecatonicosachoron prism 11.263210 14400, 36000, 32640, 12960, 1922
gidpixhi 4D great disprismatohexacosihecatonicosachoron, omnitruncated hecatonicosachoron, omnitruncated hexacosachoron 12.786651 14400, 28800, 17040, 2640
gidpixhip 5D great-disprismatohexacosihecatonicosachoron prism, omnitruncated-hexacosachoron prism 12.796423 28800, 72000, 62880, 22320, 2642
rexhi (alt.: amxhi) 4D rectified/ambified hexacosihecatonicosachoron 15.126249 7200, 21600, 18720, 4320
gupofy 8D great petated dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton 17.606817 696729600, 2786918400, 4470681600, 3657830400, 1601268480, 357557760, 34508640, 881760

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