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
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
... 3D hyperbolic x3o3o5o3*a tesselation 0.250437 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 o8o4x *b3x tesselation 0.321797 i
... 3D hyperbolic x8o4o *b3o tesselation 0.321797 i
... 3D hyperbolic x5o3o4o3*a tesselation 0.336860 i
hihexat 2D hyperbolic order 6 hexagonal tiling 0.353553 i
... 3D hyperbolic x4x4o4o4*a tesselation 0.353553 i
... 2D hyperbolic tripentagonal tiling of family o3o4o5*a 0.357770 i
... 3D hyperbolic x4o3o4o3*a tesselation, cubic-octahedral honeycomb 0.377964 i
octsnich 4D hyperbolic octahedral - snub-cubic honeycomb 0.380999 i
phexah 3D hyperbolic order 5 hexagonal-tiling honeycomb 0.381966 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
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
... 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
... 2D hyperbolic tetrapentagonal tiling of family o3o4o5*a 0.438176 i
sheat 2D stellated heptagonal tiling, hyperbolic order 7 heptagram tiling 0.484510 i
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 x4o4o *b3o tesselation, hyperbolic alternated o3o4o4x tesselation 0.5 i
chont 4D hyperbolic (order 3) cubic-honeycomb tetracomb 0.5 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
... 3D hyperbolic x3o3o4o3*a tesselation 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 0.535233
stafe 4D stellar (pentagrammal) antifastegium, pentagram - stap wedge, {5/2} || gyro stip 0.535857
... 4D 2gogishi (?) 0.540182
gogishi, gaspD 4D great grand stellated hecatonicosachoron, greatened aggrandized stellated polydodecahedron 0.540182
... 3D vertex figure of small prismated icositetrachoron 0.541196
pechon 3D hyperbolic order 5 cubic honeycomb 0.555893 i
... 3D hyperbolic x5o3o3o3*a tesselation 0.573060 i
rihihexah 3D hyperbolic rectified order 6 hexagonal-tiling honeycomb 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
tuquith 3D blend of 2 quasitruncated cubes 0.579471
sirsid 3D small (inverted) retrosnub icosicosidodecahedron, retrosnub disicosidodecahedron, yog sothoth 0.580695
gic 4D great tetracontoctachoron, octagrammy 0.585786
... 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, vertex figure of gax 0.587785
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 3D semicupolaically faceted great icosahedron 0.587785
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, vertex figure of gofix 0.587785
... 3D sissid+3gike (?) 0.587785
stappy, 5/2-pyr 3D pentagrammic pyramid, stellated pentagonal pyramid 0.587785
starp (old: restap) 3D tristrophic pentagrammic antiprism, stellar retroprism (retrograde stellar antiprism), 5/3-antiprism 0.587785
targi 3D trireplinished great icosahedron 0.587785
ogpy, 8/3-pyr 3D octagrammic pyramid 0.594604
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 x4x3o8o 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, compound of 2 tet 0.612372
tet 3D tetrahedron, 3D simplex3), 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 0.612372
otbaquitit 4D octagonnally tetrablended quasitruncated tesseract 0.615370
quitit 4D quasitruncated tesseract 0.615370
... 3D 2geihid (?) 0.618034
... 3D 2gid (?) 0.618034
... 3D 2gidhid (?) 0.618034
geihid 3D great icosihemidodecahedron 0.618034
gid 3D great icosidodecahedron 0.618034
... 3D gid+geihid+gidhid (?) 0.618034
gidhid 3D great dodecahemidodecahedron 0.618034
... 4D 2gashi (?) 0.618034
... 4D 2gax (?) 0.618034
... 4D 2gishi (?) 0.618034
... 4D 2gofix (?) 0.618034
birgax 4D bi-icositetra-replinished grand hexacosachoron 0.618034
gashi, aspD 4D grand stellated hecatonicosachoron, aggrandized stellated polydodecahedron 0.618034
... 4D gax+gashi+120gid (?) 0.618034
... 4D gax+gofix (?) 0.618034
gax, apT 4D grand hexacosachoron, aggrandized polytetrahedron 0.618034
gikepy 4D great-icosahedral pyramid, vertex cap of gax 0.618034
... 4D gishi+gashi (?) 0.618034
gishi, gspD 4D great stellated hecatonicosachoron, greatened stellated polydodecahedron 0.618034
gisp 4D great swirlprism 0.618034
... 4D gofix+gishi+120gid (?) 0.618034
gofix, gpI 4D great icosahedral hecatonicosachoron, great faceted hexacosichoron, greatened polyicosahedron 0.618034
gypasp 4D great pyramidic swirlprism 0.618034
padiap 4D prismatic double inverted antiprism, pentagrammic double antiprismoid 0.618034
rasdi 4D retrosnub icositetrachoron, retrosnub disicositetrachoron 0.618034
sissidpy 4D small-stellated-dodecahedral pyramid, vertex cap of gofix 0.618034
stasc (old: stappypy) 4D stellar scalene, pentagrammic scalene, pentagram-pyramidal pyramid, line atop fully orthogonal pentagram, 5 tet two-step rosette 0.618034
stadow 5D pentagrammic disphenoid, pentagram atop fully orthogonal pentagram 0.623054
... 4D 2pen (?) 0.632456
... 4D 3pen (?) 0.632456
... 4D 4pen+160{3} (?) 0.632456
mix 4D medial hexacosachoron, mete-star, compound of 120 pen 0.632456
pen, K-4.1 4D pentachoron, 4D simplex4), 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
sted 4D stellated decachoron, compound of 2 pen 0.632456
sissidisc 5D small-stellated-dodecahedral scalene, small-stellated-dodecahedral-pyramid pyramid, line atop fully orthogonal small stellated dodecahedron 0.636010
stasissiddow 6D (pentagramm,sissid)-disphenoid, pentagram atop fully orthogonal small stellated doedcahedron 0.639240
hix 5D hexateron, 5D simplex5), 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
stade 5D stellated dodecateron, compound of 2 hix 0.645497
quittin 5D quasitruncated penteract 0.649286
shappy, 7/2-pyr 3D small heptagrammic pyramid 0.650389
hop (old: hep) 6D heptapeton, 6D simplex6), pyroex(id), hexateral pyramid, vertex figure of oca, Gosset polytope 05 0.654654
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
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
... 3D 2quitgissid (?) 0.657550
quit gissid 3D quasitruncated great stellated dodecahedron, great stellated truncated dodecahedron, great stellatruncated dodecahedron 0.657550
shasc 4D small heptagrammic scalene, small-heptagrammic-pyramidal pyramid, line atop fully orthogonal small heptagramm 0.658240
oca (old: oc) 7D octaexon, 7D simplex7), pyrozett(id), heptapetal pyramid, vertex figure of ene, (one of the) Delone cell(s) of lattice E7, Gosset polytope 06 0.661438
... 4D 2firgogishi (?) 0.661585
firgogishi 4D facetorectified great grand stellated hecatonicosachoron 0.661585
gohiny 4D great hecatonicosintercepted hecatonicosachoron 0.661585
rigogishi 4D rectified great grand stellated hecatonicosachoron 0.661585
gissidagike, gissid || gike 4D great stellated dodecahedron atop great icosahedron 0.662791
ene 8D enneazetton, 8D simplex8), pyroyott(id), octaexal pyramid, vertex figure of day, (one of the) Delone cell(s) of lattice E8, Gosset polytope 07 0.666667
day 9D decayotton, 9D simplex9), pyroxenn(id), enneazettal pyramid, vertex figure of ux, Gosset polytope 08 0.670820
shadow 5D small heptagrammic disphenoid, small heptagramm atop fully orthogonal small heptagramm 0.674163
ux 10D hendecaxennon, undecaxennon, 10D simplex10), pyrodak(id), decayottal pyramid, Gosset polytope 09 0.674200
quit gogishi 4D quasitruncated great grand stellated hecatonicosachoron 0.677481
gashia 5D grand stellated hecatonicosachoron antiprism, grand stellated hecatonicosachoron alterprism, grand stellated hecatonicosachoron atop dual grand stellated hecatonicosachoron 0.680827
quotox 6D quasitruncated hexeract 0.681517
gissidagid, gissid || gid 4D great stellated dodecahedron atop great icosidodecahedron, great stellated dodecahedral cupola 0.692924
... 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 tetragonal bipyramid, bowtie (line-)tegum 0.707107
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
gidrid 3D great dirhombicosidodecahedron, great snub disicosidisdodecahedron, Miller's monster 0.707107
gisdid 3D great snub dodekicosidodecahedron, shub-niggurath 0.707107
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, tricross3), tetratetrahedron, aerochor(id), trigonal antiprism, 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) 0.707107
... 3D oct+6{4} (?) 0.707107
ratricu 3D retrograde trigonal cupola, 3/2-cupola 0.707107
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
thah 3D tetrahemihexahedron, vertex figure of tho, triangular crossed cuploid 0.707107
... 4D 2hex+8oct (?) 0.707107
... 4D 2tho (?) 0.707107
... 4D 2tho+24{4} (?) 0.707107
dastop 4D dodeca-star toroidi-prism 0.707107
... 4D dastop + 2x 2did (?) 0.707107
haddet 4D demidistesseract, compound of 2 hex 0.707107
hatho 4D hemitesseractihemioctachoron 0.707107
... 4D hex+8oct (?) 0.707107
hex, K-4.2 (alt: octit, trapt) 4D hexadecachoron, tetracross4), 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) 0.707107
hossdap 4D hollow small stellated dodecahedral antiprism, pseudo sissid atop pseudo sissid 0.707107
... 4D hossdap + 2 2sissid (?) 0.707107
... 4D n/d-grammic retroantiprismatic hemiantiprism 0.707107
octpy, K-4.3 4D octahedral pyramid, half of hex (its vertex-first rotunda) 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
stico (old: sico) 4D stellated icositetrachoron, stella tegmata, compound of 3 hex 0.707107
tho 4D tesseractihemioctachoron, octahemioctachoron, vertex figure of hehad 0.707107
... 5D 2hehad (?) 0.707107
hehad 5D hexadecahemidecateron, vertex figure of thox 0.707107
hexpy 5D hexadecachoral pyramid, vertex-first rotunda of triacontiditeron 0.707107
octasc 5D octahedral scalene, octahedron-pyramid pyramid, line atop fully orthogonal octahedron, 1/4-lune of triacontiditeron 0.707107
squete 5D square-pyramidal pyramid pyramid, square-tettene, 1/8 of the triacontiditeron 0.707107
tac 5D triacontiditeron, pentacross5), aeropet(id), pentachoral antiprism, vertex figure of gee, Gosset polytopes 21,1, lattice C5 contact polytope (span of its small roots) 0.707107
... 6D 2thox (?) 0.707107
gee (old: xic) 6D hexacontitetrapeton, hexacross6), aeroex(id), hexateral antiprism, vertex figure of zee, Gosset polytope 31,1, lattice C6 contact polytope (span of its small roots) 0.707107
hexasc 6D hexadecachoric scalene, hexadecachoron-pyramid pyramid, line atop fully orthogonal hexadecachoron, 1/4-lune of hexacontatetrapeton 0.707107
octete 6D octahedral tettene, octahedral-pyramid pyramid pyramid, triangle atop fully orthogonal octahedron 0.707107
squepe 6D square pennene 0.707107
tacpy 6D triacontaditeric pyramid, vertex-first rotunda of gee 0.707107
thox 6D triacontidiahemihexeract, cytohemiectid 0.707107
geepy 7D hexacontitetrapeton pyramid, vertex-first rotunda of gee 0.707107
hexete 7D hexadecachoric tettene, hexadecachoron-pyramid pyramid-pyramid, triangle atop fully orthogonal hexadecachoron 0.707107
octepe 7D octahedral pennene 0.707107
squix 7D square hixene, square atop fully orthogonal pentachoron 0.707107
taccasc 7D triacontiditeron scalene 0.707107
zee (old: hio) 7D hecatonicosoctaexon, heptacross7), aerozett(id), heptapetal antiprism, vertex figure of ek, Gosset polytope 41,1, lattice C7 contact polytope (span of its small roots) 0.707107
ek 8D diacosipentacontahexazetton, octacross8), 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) 0.707107
zeepy 8D zee pyramid, heptacross pyramid, vertex pyramid of ek 0.707107
vee 9D pentacosidodecayotton, enneacross9), aeroxenn(id), enneazettal antiprism, vertex figure of ka, Gosset polytope 61,1, lattice C9 contact polytope (span of its small roots) 0.707107
ka 10D chilliaicositetraxennon, decacross10), aerodak(id), decayottal antiprism, Gosset polytope 71,1, lattice C10 contact polytope (span of its small roots) 0.707107
... 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
giship 3D tristrophic heptagrammic prism, heptagrammic prism of winding number 3, great heptagrammic prism, great stellated heptagonal prism 0.716257
gaddid 3D great dodekicosidodecahedron 0.716891
gird 3D great rhombidodecahedron 0.716891
... 3D gird+12{10/4} (?) 0.716891
... 3D gird+20{6/2} (?) 0.716891
qrid 3D quasi rhombicosidodecahedron, great rhombicosidodecahedron (but not grid) 0.716891
rastacu 3D retrograde pentagrammic cupola, 5/3-cupola 0.716891
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
tustip 3D orthogonal blend of pentagagramic prisms, vertex figure of gadsadox 0.725530
... 3D x v5o, variation of pentagonal prism, vertex figure of rigfix 0.725530
... 4D 2gippapivady (?) 0.726543
... 4D 2quiphi (?) 0.726543
frogfix 4D faceted rectified great faceted hexacosichoron 0.726543
gadsadox 4D great disnub dihexacosachoron 0.726543
gikagid, gike || gid 4D great icosahedron atop great icosidodecahedron, great icosahedral cap of rectified grand hexacosachoron, great-icosahedral cupola 0.726543
gippapivady 4D great pentagrammal antiprismatoverted dishecatonicosachoron 0.726543
graphi 4D grand retropental hecatonicosachoron 0.726543
mif pixady 4D circumfacetopental hexacosadishecatonicosachoron 0.726543
ofpipixhi 4D omnifacetopental prismatohexacosahecatonicosachoron 0.726543
omfapaxady 4D omnicircumfacetopental hexacosadishecatonicosachoron 0.726543
quiphi 4D quasiprismatohecatonicosachoron 0.726543
raggix 4D rectified grand hexacosachoron 0.726543
rigfix 4D rectified great faceted hexacosichoron 0.726543
sporaggix 4D swirlprismatoreplenished rectified grand hexacosachoron 0.726543
stippy 4D stellated-pentagonal prismatic pyramid, vertex pyramid of the rectified grand hexacosachoron 0.726543
... 2D hyperbolic order 3 tritetragonal tiling 0.728238 i
hog dhidicup verf 3D vertex figure of hog dhidicup 0.730749
gissiddip 4D great-stellated-dodecahedron prism 0.732444
hog dhidicup 4D hollow gidhid cupoliprism 0.732444
gocco 3D great cubicuboctahedron 0.736813
... 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
querco 3D quasirhombicuboctahedron, great rhombicuboctahedron (but not girco) 0.736813
raquahri 3D rhombiquasihyperhombicosicosahedron, compound of 5 gocco 0.736813
rasquacu 3D retrograde square cupola, crossed square cupola, 4/3-cupola 0.736813
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
groh 5D great rhombihexahedron 0.736813
stardip 4D pentagram-pentagram duoprism 0.743496
pesquat 2D hyperbolic order 5 square tiling 0.747674 i
... 4D hyperbolic birectified order 5 hecatonicosachoric tetracomb 0.747674 i
stastodip 4D pentagram - octagram duoprism 0.754511
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
trirp (variant) 3D vertex figure of faceted rectified pentachoron, taller trigonal retroprism (3/2 antiprism) variant 0.763763
tutrip 3D two trip cupolaic blend, gyrated blend of 2 digonal cupola, Phillips head 0.763763
gixhihy 4D great hexacosihecatonicosihecatonicosachoron 0.763932
quidpixhi 4D quasidisprismatohexacosihecatonicosachoron 0.763932
gapript 4D great pseudorhombated prismatotesseract 0.765367
... 4D gapript+16 2thah (?) 0.765367
gaqript 4D grand quasirhombated prismatotesseract 0.765367
giddic 4D great distetracontoctachoron 0.765367
girc 4D great retrotetracontoctachoron 0.765367
qrit 4D quasirhombated tesseract 0.765367
quippic 4D quasiprismatotetracontoctachoron 0.765367
quithip 4D quasitruncated-hexahedron prism 0.765367
stodip 4D octagram-octagram duoprism 0.765367
wavitoth 4D sphenoverted tesseractitesseractihexadecachoron 0.765367
sirsiddip 4D small-(inverted)-retrosnub-icosicosidodecahedron prism 0.766294
gipe 4D great-icosahedron prism 0.771681
sissiddip 4D small-stellated-dodecahedron prism 0.771681
stappyp 4D pentagram-pyramidal prism, line || stip 0.771681
... 3D xo3oo&#q, longer variant of trigonal pyramid, vertex figure of tepe 0.774597
... 4D 2firp (?) 0.774597
... 4D 2rap (?) 0.774597
... 4D 2rap+20tet (?) 0.774597
bamid (old: apid) 4D biambodecachoron, antiprismatodecachoron, triangle based biambodecachoron 0.774597
bidrap, K-4.8 4D bidiminished rectified pentachoron, antiduowedge, square - tetrahedral wedge, digonal gyrobicupolaic ring, {4} || tet, line || ortho trip 0.774597
firp 4D faceted rectified pentachoron, retropyrohemiperichoron, vertex figure of dah, tetrahedral cuploid 0.774597
... 4D firp+rap+15{4} (?) 0.774597
... 4D vertex figure of hexadecateron 0.774597
pinnip 4D prismatointercepted pentachoron, retropyroinvertirectichoron, vertex figure of han 0.774597
... 4D pinnip+5 2thah (?) 0.774597
... 4D vertex figure of retrodishexadecateron 0.774597
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
... 4D vertex figure of retropenteractihexadecateron 0.774597
traf, K-4.6 4D triangular antifastegium, triangle oct wedge, {3} || gyro trip, {3} || oct, (vertex-) diminished rap 0.774597
trippy, K-4.7 4D trigonal-prismatic pyramid, vertex pyramid of the rectified pentachoron 0.774597
turap 4D two rectified-pentachoron cupolaic blend 0.774597
rapatip 5D rap atop tip, rap-first cap of sarx 0.774597
... 6D tetradecapeton dual 0.774597
... 4D vertex figure of great facetosphenary penteract 0.776106
tistadip 4D triangle - pentagram duoprism, pentagram - stip wedge 0.780850
... 3D hyperbolic cyclotruncated tetrahedral-icosahedral honeycomb 0.786151 i
... 3D xo ox&#q, longer variant of digonal antiprism, vertex figure of triddip 0.790569
hocucup 4D hollow cubic cupoliprism 0.790569
tepe, K-4.9 (alt: dycuf) 4D tetrahedron prism, line || trip, square - square bi-wedge, digonal orthobicupolaic ring, vertex figure of rix, dyadic cupolafastegium 0.790569
... 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
bidot 5D bidodecateron, triangular duotegmatic icosateron, triangular duotegmatic alterprism, dodecateron dual 0.790569
bidrappy 5D bidrap pyramid 0.790569
dah 5D dishexadecateron, vertex figure of kaje 0.790569
dihin (alt.: penalrap) 5D (vertex-)diminished hemipenteract, pentachoron atop alternate rectified pentachoron 0.790569
ditetaf (alt.: traltepe, penaltrip) 5D diminished tetaf, triangle atop gyrated tepe, pen atop gyrated trip, (edge,perp triangle,gyro trip)-trigonic 0.790569
editetaf 5D edge-diminished tetaf, (top base) edge-diminishing of tet-first rotunda of hin 0.790569
han 5D hexadecapenteract, vertex figure of daj 0.790569
hin 5D hemipenteract, demipenteract, hemitesseractic gyroprism, tetrahedral altersquarism, vertex figure of jak, Gosset polytope 12,1 0.790569
hit 5D hexadecateron 0.790569
hosiap 5D hollow stellated icosatetrachoric antiprism, pseudo sico atop pseudo sico 0.790569
radah 5D retrodishexadecateron 0.790569
rappy 5D rectified-pentachoric pyramid, vertex cap of hin 0.790569
rinah 5D retropenteractihexadecateron 0.790569
squasquasc 5D {4} atop squasc 0.790569
tedhin 5D tetradiminished hemipenteract, square || hex 0.790569
tetaf (alt.: tetaltepe, tettet altettric) 5D tetrahedral antifastegium, tet atop inverted tepe, tet-first rotunda of hin, (tet,tet,dual tet)-trigonic 0.790569
trafpy 5D triangular antifastegium pyramid, (triangular prism, gyro triangular pyramid)-disphenoid 0.790569
triddaf 5D triangular duoantifastegium, digonal-triangular duoantiwedge, trip atop bidual trip 0.790569
trippasc 5D triangular-prismatic scalene, triangular-prismatic-pyramid pyramid, line atop fully orthogonal triangular-prism 0.790569
tistodip 4D triangle - octagram duoprism, octagram - stop wedge 0.791345
gafwan 5D great facetosphenary penteract 0.792893
quititip 5D quasitruncated-tesseract prism 0.792893
wavinant 5D sphenoverted penteractipenteractitriacontaditeron 0.792893
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
giddip 4D great-icosidodecahedron prism 0.794963
gipriphi 4D great pseudorhombated prismatohecatonicosachoron 0.799575
... 4D gipriphi+600 2thah (?) 0.799575
gwavixady 4D great sphenoverted hexacosadishecatonicosachoron 0.799575
qrigogishi (old: qrahi) 4D quasirhombated great grand stellated hecatonicosachoron 0.799575
penp 5D pentachoron prism, vertex figure of ril 0.806226
... 4D 3sishi (?) 0.809017
stastidedip 4D pentagram - decagram duoprism 0.811393
ship 3D bistrophic heptagrammic prism, heptagrammic prism of winding number 2, small heptagrammic prism, small stellated heptagonal prism 0.811783
ripped 3D hyperbolic rectified order 5 dodecahedral honeycomb 0.813126 i
amtrip 3D ambiated trip, kernel of trip and m m3o, o2o3o symmetric co relative 0.816497
... 3D vertex figure of ope 0.816497
... 4D vertex figure of biprismatododecateron 0.816497
... 4D vertex figure of biprismatointercepted dodecateron 0.816497
bideca (old: dudeca) 4D bidecachoron, decachoron dual, bi-apiculated pentachoron 0.816497
... 4D vertex figure of cellibiprismatohexateron 0.816497
... 4D vertex figure of cellidishexateron 0.816497
triddip, K-4.10 4D triangle-triangle duoprism, triangle - trip wedge, vertex figure of dot, Delone cell of lattice A2×A2 0.816497
... 5D 2firx (?) 0.816497
firx 5D facetorectified hexateron 0.816497
octatepe (alt.: tettet octtric) 5D oct atop tepe, diminished rix, (tet,tet,oct)-trigonic 0.816497
rix 5D rectified hexateron, vertex figure of hax, Gosset polytope 03,1 0.816497
tedrix 5D tridiminished rectified hexateron, square triorthowedge, lace simplex of 3 mutually orthogonal squares 0.816497
tepepy 5D tetrahedral-prismatic pyramid, vertex pyramid of rectified hexateron 0.816497
trial triddip 5D {3} atop gyrated triddip, {3}-first cap of rix 0.816497
dadjak 6D decadiminishing of jak 0.816497
daj (old: dije) 6D disicosiheptapeton, vertex figure of nal 0.816497
dijak (alt.: taccahin) 6D (mono-)diminished icosiheptaheptacontidipeton, tac atop hin 0.816497
endjak 6D ennea-diminished jak 0.816497
hedjak 6D heptadiminished jak, square || hin 0.816497
hinpy 6D demipenteractic pyramid, vertex pyramid of jak 0.816497
hixalrix 6D hexateron atop inverted rectified hexateron, hix-first rotunda of jak 0.816497
hixip 6D hexateron prism, vertex figure of roc 0.816497
jak 6D icosiheptaheptacontidipeton, Gosset polypeton 22,1, vertex figure of naq, Delone cell of lattice E6 0.816497
kaje 6D heptacontidiaicosiheptapeton, vertex figure of quil 0.816497
madek 6D pentacontatetradisheptacontadipeton, compound of 2 jak 0.816497
... 6D pentacontitetrapeton dual, convex hull of madek 0.816497
penaf (old: penalpenp) 6D pentachoron antifastegium, pentachoron atop inverted pentachoral-prism, pen-first cap of jak 0.816497
rapalpenp 6D rap atop inverted penp, pen-first medial subsegment of jak 0.816497
rapesc 6D rectified-pentachoric scalene, rectified-pentachoron-pyramid pyramid, line atop fully orthogonal rectified pentachoron 0.816497
tedjak (alt.: hexgyt, hexalhin) 6D tridiminished icosiheptaheptacontidipeton, tridiminished 22,1, hexadecachoral gyrotrigonism 0.816497
tripal triddip 6D trip atop gyro-perp triddip 0.816497
trippete 6D trip tettene, {3}-first cap of jak 0.816497
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
traquith 5D triangle quasitruncated-cube duoprism 0.817997
... 3D v3o3x, variation of cuboctahedron, vertex figure of gadtaxady 0.820211
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
hopip 7D heptapeton prism, vertex figure of rene 0.823754
stappip 4D pentagramic-antiprism prism 0.825168
quit gissiddip 4D quasitruncated-great-stellated-dodecahedron prism 0.826058
ocpe 8D octaexon prism, vertex figure of reday 0.829156
... 2D hyperbolic shieldo-trigonal-horocyclic tiling 0.829156 i
sissiddow 7D sissidic disphenoid, sissid atop fully orthogonal sissid 0.831254
enep 9D enneazetton prism, vertex figure of ru 0.833333
... 3D xo oq&#q, tetrahedron with one shorter edge, vertex figure of tisdip 0.836660
... 4D vertex figure of great pteroprismated penteract 0.837186
... 4D vertex figure of great prismated biprismatopenteract 0.837186
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
stohix 7D octagram - hexateron duoprism 0.842354
octa tratet 6D oct atop tratet, oct-first cap of ril 0.845154
penppy 6D penp pyramid, vertex-pyramid of ril 0.845154
rapa penp 6D rap atop penp, rap-first cap of ril 0.845154
ril (old: riss) 6D rectified heptapeton, vertex figure of hesa, Gosset polytope 04,1 0.845154
trial tratet 6D triangle atop dual tratet, triangle-first cap of ril 0.845154
... 3D 2quitsissid (?) 0.852911
quit sissid 3D quasitruncated small stellated dodecahedron, small stellated truncated dodecahedron, small stellatruncated dodecahedron 0.852911
ghihi 4D great hecatonicosihecatonicosachoron 0.854102
trapen 6D triangle - pentachoron duoprism, vertex figure of broc 0.856349
... 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-polytope3), geochor(id), square prism, triangular antitegum, Voronoi cell of primitive cubical lattice, Delone cell of primitive cubical lattice, terminally chamfered tetrahedron, surtegmated tetrahedron 0.866025
disdi-verf 3D vertex figure of disnub disicositetrachoron 0.866025
ditdid 3D ditrigonal dodecadodecahedron, vertex figure of dittady 0.866025
... 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
dudsi 3D dual of D-stellation of icosahedron, D-faceting of dodecahedron, vertex figure of paphicki 0.866025
gicdatrid 3D great complex (ditrigonary) rhombicosidodecahedron 0.866025
gidtid 3D great ditrigonary icosidodecahedron, vertex figure of gidtixhi 0.866025
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
hudsi 3D dual of H-stellation of icosahedron, H-faceting of dodecahedron, vertex figure of paphacki, huitzilopochtli 0.866025
mesdi-verf 3D vertex figure of medial snub disicositetrachoron 0.866025
... 3D oqo3ooq&#xt, cubera (cube chimera), (fully) mono-truncated cube 0.866025
... 3D qo3oo&#x, shallower variant of trigonal pyramid, vertex pyramid of cube 0.866025
... 3D qo3oq&#x, shallower variant of trigonal antiprism, medial segment of cube 0.866025
quistet 3D quadratisnub tetratetrahedron, chiral edge faceting sidtid-0-8-12-0-b 0.866025
rah 3D rhombihexahedron, compound of 3 cube 0.866025
rapescu 3D retrograde pentagonal cuploid, retrograde pentagonal semicupola 0.866025
rhom 3D rhombihedron, compound of 5 cube 0.866025
risdoh 3D rhombisnub dishexahedron, compound of 6 cube, Skilling's compound 0.866025
sicdatrid 3D small complex (ditrigonary) rhombicosidodecahedron 0.866025
sidtid 3D small ditrigonary icosidodecahedron, holosnub dodecahedron, vertex figure of sidtixhi 0.866025
... 3D sidtid+ditdid (?) 0.866025
... 3D sidtid+ditdid+gidtid (?) 0.866025
... 3D sidtid+gidtid (?) 0.866025
... 3D edge faceting sidtid-0-3-3-3 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
stacu 3D pentagrammic cupola, star cupola 0.866025
stiscu 3D pentagrammic cuploid, star semicupola 0.866025
... 3D xo3ox&#q, longer variant of trigonal antiprism, vertex figure of spid 0.866025
... 4D 2thahp (?) 0.866025
... 4D three squippyp blend, "coord-axes edge star" atop cube 0.866025
... 4D vertex figure of cellihemidodecateron 0.866025
... 4D vertex figure of dodecabiprismatohemidodecateron 0.866025
dygytpuf, K-4.13 4D dyadic gyrotegmipucofastegium, 3-prism atop reflected ortho 3-prism 0.866025
gidriddip 4D great-dirhombicosidodecahedron prism, great-snub-disicosidisdodecahedron prism, prism of Miller's monster 0.866025
ope, K-4.11 (alt: dytpuf) 4D octahedron prism, vertex figure of rat, dyadic tegmipucofastegium 0.866025
... 4D vertex figure of retrotriacontidicellihemitriacontaditeron 0.866025
squippyp, K-4.12 4D square-pyramidal prism, J1 prism, line || cube, digonal magnabicupolaic ring 0.866025
thahp 4D tetrahemihexahedral prism, vertex figure of rhohid 0.866025
... 4D xo3oo3ox&#q, longer variant of tetrahedral antiprism, vertex figure of scad 0.866025
bad 5D biprismatododecateron 0.866025
bend 5D biprismatointercepted dodecateron 0.866025
cabbix 5D cellibiprismatohexateron 0.866025
caddix 5D cellidishexateron 0.866025
dot 5D dodecateron, birectified hexateron, equatorial cross-section of (vertex first) 1/q-ax, rap atop inverted rap, vertex figure of mo, Gosset polytope 02,2 0.866025
hexip 5D hexadecachoron prism, vertex figure of rag 0.866025
octpyp, line||ope 5D octahedron-prismatic wedge, line atop ope, octahedral-pyramid prism, half of hexip 0.866025
squascop 5D squasc prism, square-scalene prism, square atop cube 0.866025
taope 5D triangle atop octahedral-prism 0.866025
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
tetcubedaw (alt.: daworsquip) 5D (tet,cube)-disphenoid, 1/6-lune of dodecateron, digonal antiprism atop axis-orthogonal square prism 0.866025
tridafup (alt.: pabdidot) 5D triangular duoantifastegiaprism, triangular duoantiwedge, triddip atop bidual triddip, central segment of vertex first dot, parabidiminished dot 0.866025
triddippy 5D trigonal-duoprismatic pyramid, vertex pyramid of the dodecateron 0.866025
hax 6D hemihexeract, vertex figure of laq, Gosset polytope 13,1 0.866025
hexaf, hex || gyro hexip 6D hexadecachoral alterfastegium, hex atop gyrated hexip, hex-first rotunda of hax 0.866025
hixacube 6D hix atop edge-parallel cube 0.866025
hixadot 6D hexateron atop dodecateron, hix-first half of hax 0.866025
... 6D (mono) tetal tratet augmented tetdip 0.866025
rixa (alt.: pabdihax, old: rixalrix) 6D rectified hexateron alterprism, parabidiminished demihexeract, rectified hexateron atop inverted rectified hexateron 0.866025
rixpy 6D rectified-hexateronal pyramid, vertex pyramid of demihexeract 0.866025
taccup 6D triacontiditeron prism, vertex figure of rez 0.866025
tepasc 6D tetrahedral-prismatic scalene, tetrahedron-prism-pyramid pyramid, line atop fully orthogonal tetrahedron prism 0.866025
tetal tratet 6D tetrahedron atop alternate triangle,tetrahedron-duoprism 0.866025
tetdip 6D tetrahedron-tetrahedron duoprism, vertex figure of he 0.866025
tratetdafup 6D triangular-tetrahedral duoantifastegiaprism, tratet atop bidual tratet 0.866025
gahax 7D gee atop hax, gee-first segment of naq 0.866025
geep 7D hexacontitetrapeton prism, hexacross prism, vertex figure of rek 0.866025
hexalhax 7D hex atop alternate hax 0.866025
hinsc 7D demipenteractic scalene, demipenteractic-pyramid pyramid, line atop fully orthogonal demipenteract 0.866025
hixaf 7D hexateron antifastegium, hix atop inverted hixip, hix-first cap of naq 0.866025
hopalril 7D hop atop inverted ril, hop-first cap of naq 0.866025
idinaq (alt.: trahixdap) 7D icosa-diminished naq, triangular-hexateric duoalterprism 0.866025
jaka (alt.: pabdinaq, old: jakaljak) 7D jak alterprism, jak atop inverted jak, vertex-first medial segment of naq, parabidiminished naq 0.866025
jakpy 7D icosihepta-heptacontidi-peton pyramid, vertex-first cap of naq 0.866025
nal 7D hecatonicosihexa-pentacontihexa-exon, vertex figure of fib 0.866025
naq (alt: rocalroc) 7D hecatonicosihexapentacosiheptacontihexaexon, Gosset polyexon 32,1, 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
octatetdip 7D oct atop tetdip, oct-first half of roc 0.866025
odinaq 7D octa-diminished naq 0.866025
quil 7D pentacosiheptacontihexa-pentacontihexa-exon, vertex figure of yab 0.866025
rapete 7D rap tettene 0.866025
rila (old: rilalril) 7D rectified heptapeton alterprism, rectified heptapeton atop inverted rectified heptapeton, hop-first medial segment of naq 0.866025
roc 7D rectified octaexon, vertex figure of hocto, Gosset polytope 05,1 0.866025
trahix 7D triangle - hexateron duoprism, vertex figure of brene 0.866025
trapendafup 7D triangular-pentachoron duoantifastegiaprism, trapen atop bidual trapen 0.866025
zeep 8D hecatonicosoctaexon prism, vertex figure of riv 0.866025
ekip 9D diacosipentacontahexazetton prism, vertex figure of rake 0.866025
azat 2D hyperbolic order 3 apeirogonal tiling, hyperbolic order 3 horocyclic tiling, hyperbolic truncated order ∞ horocyclic tiling 0.866025 i
... 3D hyperbolic x3x4o3o5*a tesselation 0.869999 i
trihop 8D triangle - heptapenton duoprism, vertex figure of breday 0.872872
gheat 2D great heptagonal tiling, hyperbolic order 7/2 heptagon tiling 0.873057 i
hetrat 2D hyperbolic order 7 triangular tiling 0.873057 i
tetcubedaw (alt.: daworsquip) 5D (tet,cube)-disphenoid, dispenoid atop axis-orthogonal square prism 0.873214
... 4D 2gadtifady (?) 0.874032
... 4D 2gitphi (?) 0.874032
gadatady 4D grand ditetrahedral dishecatonicosachoron 0.874032
gadathiphi 4D grand ditetrahedronary hecatonicosaprismatohecatonicosachoron 0.874032
... 4D gadathiphi+600 2tet (?) 0.874032
gaddiddip 4D great-dodekicosidodecahedron prism 0.874032
gadtap 4D great ditetrahedronary prismatochoron, compound of 36 stadidip 0.874032
gadtaxady 4D grand ditetrahedronary hexacosadishecatonicosachoron 0.874032
gadtaxhi 4D great ditetrahedronary hexacosihecatonicosachoron 0.874032
gadtef pixady 4D great ditetrahedronary exofissary prismatohexacosadishecatonicosachoron 0.874032
gadtifady (old: gadtafady) 4D great ditetrahedronarofissary dishecatonicosachoron 0.874032
gaedit pathi 4D grand exoditetrahedronary prismatotriakishecatonicosachoron 0.874032
gard tadhix 4D grand retroditetrahedronary dishecatonicosihexacosachoron 0.874032
gardatady 4D grand retroditetrahedral dishecatonicosachoron 0.874032
... 4D gardatady+1440{5} 0.874032
gardatathi 4D grand retroditetrahedronary trishecatonicosachoron 0.874032
gardtapaxhi 4D grand retroditetrahedronary hexacosidishecatonicosachoron 0.874032
gardtaxady 4D grand retroditetrahedronary hexacosidishecatonicosachoron 0.874032
gefidtethi 4D great exofissary ditetrahedronary tetrakishecatonicosachoron 0.874032
gefradit thix 4D great exofissary retroditetrahedronary triakishecatonicosihexacosachoron 0.874032
gitphi 4D great tripesic hecatonicosachoron 0.874032
qriddip 4D quasi-rhombicosidodecahedron prism 0.874032
quad pagaxhi 4D quasidisprismatogrand hexacosihecatonicosachoron 0.874032
stadidip 4D decagram-decagram duoprism 0.874032
... 2D hyperbolic shieldotetrapentagonal tiling of family o3o4o5*a, ditrigonal tiling of family o3o4o5*a 0.874835 i
... 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
squaf, K-4.14 4D square antifastegium, square - squap wedge, {4} || gyro cube, bidiminished octahedral antiprism 0.879465
squappy 4D square-antiprismatical pyramid 0.879465
squippyal cube, K-4.16 4D squippy atop gyro cube 0.879465
tetpen 7D tetrahedron-pentachoron duoprism, vertex figure of trene 0.880341
stoct 5D pentagram - octahedron duoprism 0.881132
rene 8D rectified enneazetton, vertex figure of henne, Gosset polytope 06,1 0.881917
... 3D f v3o, variation of triangular prism, vertex figure of rectified great grand hecatonicosachoron 0.884212
tethix 8D tetrahedron-hexateron duoprism, vertex figure of treday 0.889757
gahfipto 4D great hexadecafeceted prismatotesseractioctachoron 0.890446
gaquipadah 4D great quasiprismatodishexadecachoron 0.890446
gittifcoth 4D great tesseractifaceted cubitesseractihexadecachoron 0.890446
gittith 4D great tesseractitesseractihexadecachoron 0.890446
gnappoth 4D great spinoprismatotesseractihexadecachoron 0.890446
goccope 4D great-cubicuboctahedron prism 0.890446
gondip 4D great octagonal spinoduoprism 0.890446
picnut 4D prismatocubiintercepted tesseract 0.890446
quercope 4D quasirhombicuboctahedron prism 0.890446
quidpith (old: qippith) 4D quasi(dis)prismatotesseractihexadecachoron 0.890446
sistodip 4D square - octagram duoprism 0.890446
stowoct 5D octagram octahedron duoprism 0.890446
grohp 7D great-rhombihexahedron prism 0.890446
... 3D vertex figure of cope 0.894427
pendip 8D pentachoron duoprism, vertex figure of icoy 0.894427
reday 9D rectified decayotton, vertex figure of hede, Gosset polytope 07,1 0.894427
cubaope 5D cube atop octahedral-prism 0.895420
squiddaf 5D square duoantifastegium, digonal-square duoantiwedge, square prism atop bidual square prism 0.895420
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
ru 10D rectified hendecaxennon, rectified undecaxennon, Gosset polytope 08,1 0.904534
... 3D v f5/2o, variation of 5/2-prism, vertex figure of ragashi 0.905040
... 3D v x5o, variation of pentagonal prism, vertex figure of ragishi 0.905040
... 3D higher digonal cupola, vertex figure of srip 0.906327
... 4D q-laced {3} || gyro trip, vertex figure of srix 0.907485
... 4D vertex figure of topax 0.907485
... 4D vertex figure of great dispinocellirhombated penteract 0.907821
... 3D q x3o, variation of triangular prism, vertex figure of rectified tesseract 0.912871
... 4D three tisdip blend, "coord-planes squares star" atop cube 0.912871
... 4D vertex figure of invertiretrolepidoteron 0.912871
... 4D vertex figure of invertiretrohexadecalepidohemipenteract 0.912871
... 4D vertex figure of spinotriacontaditeron 0.912871
... 4D vertex figure of retrocellitriacontadiahexadecateron 0.912871
tisdip, K-4.18 4D triangle - square duoprism, square - cube wedge, vertex figure of nit 0.912871
tisquippy 5D triangle-squippy douprism, half of troct, (triangle,trip,trip)-trigonic 0.912871
troct (alt.: octoct octtric) 5D triangle-octahedron duoprism, vertex figure of brag, (oct,oct,oct)-trigonic 0.912871
trahex 6D triangle - hexadecachoron duoprism, vertex figure of barz 0.912871
trigee 8D triangle - hexacontitetrapeton duoprism, vertex figure of brav 0.912871
fawdint 5D frustisphenary dispenteractitriacontaditeron, fastegiverted dispenteractitriacontaditeron 0.914214
gatopin 5D great pteroprismated penteract 0.914214
gipbin 5D great prismated biprismatopenteract 0.914214
... 3D hyperbolic x3o4x3o5*a tesselation 0.919229 i
... 4D vertex figure of facetospinopenteractidishexadecateron 0.919866
... 4D vertex figure of facetoinverted decahexadecateron 0.919866
... 4D vertex figure of great spinocelliprismated penteract 0.920055
... 2D hyperbolic ditetragonal tiling of family o3o4o5*a 0.921730 i
... 4D vertex figure of retrosphenary cellihexateron 0.921954
rappip 5D rectified-pentachoron prism, vertex figure of rojak 0.921954
tepacube 5D tepe || cube, bidrap prism, bi-edge-dimin. rappip, wedge-faceted rappip 0.921954
traffip 5D traf prism, trip atop inverted tisdip 0.921954
trippyp 5D trigonal-prismatic pyramid prism, lacing edge cap of the rectified-pentachoron prism 0.921954
... 5D vertex figure of spil 0.924211
bril (old: driss) 6D birectified heptapeton, vertex figure of lin, Gosset polytope 03,2 0.925820
penarappip 6D pen-first cap of birectified heptapeton 0.925820
tratet altroct 6D triangle-tetrahedron duoprism atop gyrated triangle-octahedron duoprism, vertex-first medial segment of birectified heptapeton 0.925820
tratetpy 6D (triangle,tetrahedron)-duoprism pyramid, vertex-pyramid of bril 0.925820
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
... 3D xo ox&#h, longer variant of digonal antiprism, vertex figure of deca 0.935414
... 4D q x3o3o, variation of tetrahedron prism, vertex figure of rectified penteract 0.935414
... 4D vertex figure of triacontadipenteract 0.935414
squatet 5D square-tetrahedron duoprism, square duofastegium, 2,4-duoprism cupoliprism, vertex figure of brox 0.935414
hinnip 6D hemipenteractic prism, vertex figure of ranq 0.935414
tetafip 6D prism of tetrahedral antifastegium, tetaf prism, tepe atop inverted squatet, half of hinnip 0.935414
tetoct 6D tetrahedron-octahedron duoprism, vertex figure of sez 0.935414
hesa (old: hiss) 7D hemihepteract, vertex figure of bay, Gosset polytope 14,1 0.935414
hexal trahex 7D hex atop gyrated trahex, hex-first cap of hesa 0.935414
hopabril 7D heptapeton atop birectified heptapeton, hop-first monostratic cap of hesa 0.935414
penpasc 7D pentachoron-prismatic scalene, pentachoron-prism-pyramid pyramid, line atop fully orthogonal pentachoron prism 0.935414
rilalbril 7D rectified heptapeton atop inverted birectified heptapeton, equatorial monostratic segment of demihepteract 0.935414
rilpy 7D rectified-heptapetonal pyramid, vertex pyramid of demihepteract 0.935414
tetal tetdip 7D tet atop dual tetdip 0.935414
tethex 7D tetrahedron - hexadecachoron duoprism, vertex figure of tark 0.935414
tettac 8D tetrahedron-triacontiditeron duoprism, vertex figure of tarv 0.935414
tragocco 5D triangle - great-cubicuboctahedron duoprism 0.936070
... 3D hyperbolic o3x4x3o4*a tesselation 0.944355 i
... 5D q x3o3o3o, variation of pentachoron prism, vertex figure of rectified hexeract 0.948683
squapen 6D square-pentachoron duoprism, vertex figure of bersa 0.948683
octpen 7D octahedron - pentachoron duoprism, vertex figure of tro 0.948683
... 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
... 3D pentagonal butterfly wedge, blend of 2 pentagonal pyramids, half of blend of 2 pentagonal antiprisms 0.951057
... 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
cid 3D small complex icosidodecahedron 0.951057
gad 3D great dodecahedron, faceted icosahedron, vertex figure of fix 0.951057
gadsid 3D great disnub dodecahedron, compound of 12 pap 0.951057
gassid 3D great snub dodecahedron, compound of 6 pap 0.951057
ike   (alt.: snit) 3D icosahedron, snub tetrahedron, snub tetratetrahedron, snub triangle antiprism, hydrohedron, gyroelongated pentagonal bipyramid, vertex figure of ex 0.951057
... 3D ike+3gad (?) 0.951057
mibdi, J62 3D metabidiminished icosahedron 0.951057
pap 3D pentagonal antiprism, para-bidiminished icosahedron 0.951057
... 3D vertex figure of pental disnubbachoron, biform twirled compound of 2 vertex-first icosahedra 0.951057
peppy, 5pyr, J2 3D pentagonal pyramid 0.951057
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 3D semicupolaically faceted icosahedron 0.951057
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
ditdidap 4D ditrigonary-dodecadodecahedron antiprism 0.951057
gidtidap 4D great-ditrigonary-icosidodecahedron antiprism 0.951057
sidtidap 4D small-ditrigonary-icosidodecahedron antiprism 0.951057
gadtaxadiap 5D grand ditetrahedronary hexacosadishecatonicosachoron atop alternate grand ditetrahedronary hexacosadishecatonicosachoron, grand ditetrahedronary hexacosadishecatonicosachoron alterprism 0.951057
gadtaxhiap 5D grand ditetrahedrary hexacontahecatonicosachoron antiprism 0.951057
... 4D vertex figure of spikifacetospinodishexadecateron 0.951190
... 4D longer antiduowedge, vertex figure of cellirhombated dodecateron 0.953463
quit gashi 4D quasitruncated grand stellated hecatonicosachoron 0.953850
quit gishi 4D quasitruncated great stellated hecatonicosachoron 0.953850
... 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
... 4D vertex figure of hexadecasphenohexadecateron 0.957427
tratrip (old: triddippip) 5D triangle triangular-prism duoprism, triangle-triangle duoprismatic prism, vertex figure of ram 0.957427
rixip 6D rectified-hexateron prism, vertex figure of rolaq 0.957427
tepepyp 6D tetrahedral-prismatic pyramid prism, prism of tepepy 0.957427
jakip 7D icosihepta-heptacontidi-peton prism, vertex figure of riffy 0.957427
squahix 7D square - hexateron duoprism, hixip prism, vertex figure of bro 0.957427
tetgocco 6D (tet,gocco)-duoprism 0.958067
squappip, K-4.19 4D square-antiprism prism 0.962692
squahop 8D square - heptapenton duoprism, vertex figure of barn 0.963624
... 3D f v5o, variation of pentagonal prism, vertex figure of righi 0.964832
... 3D f x5/2o, variation of 5/2-prism, vertex figure of raghi 0.964832
trarap 6D triangle - rectified-pentachoron duoprism, vertex figure of branq 0.966092
broc (old: droc) 7D birectified octaexon, duorectified octaexon, vertex figure of bif, Gosset polytope 04,2 0.968246
squoc 9D square - octaexon duoprism, vertex figure of brade 0.968246
goccopen 7D (gocco,pen)-duoprism 0.971027
... 3D v3x3o, variation of truncated tetrahedron, vertex figure of sidtaxhi 0.975835
srotezt 2D hyperbolic (small) rhombitetraapeirogonal tiling, hyperbolic rhombisquareapeirogonal tiling 0.978318 i
tratepe 6D triangle-tetrahedron-duoprism prism, vertex figure of rolin 0.978945
trahin 7D triangle - hemipenteract duoprism, vertex figure of borfy 0.978945
rillip 7D rectified-heptapeton prism, vertex figure of robay 0.981981
... 3D v f3o, variation of triangular prism, vertex figure of rasishi 0.983956
... 3D 2pip (?), decagonal prism with winding number 2 0.986715
dird 3D dirhimbidodecahedron, compound of 12 pip 0.986715
kred (old: red) 3D chiro-rhombidodecahedron, compound of 6 pip 0.986715
pip 3D pentagonal prism, 5-p, vertex figure of rox 0.986715
tupip 3D orthogonal blend of pentagonal prisms, vertex figure of sadsadox 0.986715
... 3D x f5/2o, variation of 5/2-prism, vertex figure of rofix 0.986715
tetrap 7D tetrahedron - rectified-pentachoron duoprism, vertex figure of torfy 0.987421
quit sissiddip 4D quasitruncated-small-stellated-dodecahedron prism, small-stellated-truncated-dodecahedron prism 0.988665
... 3D xo ox&#k, longer variant of digonal antiprism, vertex figure of cont 0.989219
trippen 7D triangle - pentachoron duoprism-prism, vertex figure of buffy 0.991632
... 3D f x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron 0.993902
... 3D 2cho (?) 1
... 3D 2co (?) 1
... 3D 2co+16{3} (?) 1
... 3D 2did (?) 1
... 3D 2gidhei (?) 1
... 3D 2sidhei (?) 1
arie 3D antirhombicosicosahedron, compound of 5 co 1
cho 3D cubohemioctahedron, rhomballelohedron 1
... 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) 1
did 3D dodecadodecahedron, great dodecadodecahedron 1
... 3D did+sidhei+gidhei (?) 1
gari 3D great antirhombicosahedron, compound of 5 cho 1
gidhei 3D great dodecahemicosahedron, small dodecahemiicosahedron (but not sidhei) 1
iddei 3D icosidisicosahedron, compound of 5 oho 1
oho 3D octahemioctahedron, allelotetratetrahedron 1
... 3D oho+8{3} 1
... 3D q x4o, variation of cube, vertex figure of rectified cubic honeycomb 1
sidhei 3D small dodecahemicosahedron, great dodecahemiicosahedron (but not gidhei) 1
tobcu, J27 3D triangular orthobicupola, vertex figure of gytoh 1
tricu, J3 3D triangular cupola, half of cuboctahedron 1
... 3D xo3ox&#h, longer variant of trigonal antiprism, cyclo-hexadiminished co, vertex figure of batatoh 1
... 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 4D corner hypercubera 1
... 4D 6tes (?) 1
bidoctaco, {4} || co, K-4.28 4D square atop cuboctahedron, bidiminished octaco, square first rotunda of cytau tes 1
bitapna 4D bitrigonal antiprismattic enenehexachoro, 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
cubpy, K-4.26 4D cubical pyramid, vertex-pyramid of ico 1
cytau tes 4D cyclotetraaugmented tesseract, cyclotetradiminished icositetrachoron 1
didhi 4D dodecahedronary dishecatonicosachoron 1
disdi 4D disnub disicositetrachoron 1
ditdiddip 4D ditrigonal-dodecadodecahedron prism 1
dittady 4D ditrigonary dishecatonicosachoron 1
... 4D dittady+dox (?) 1
dod honho 4D disoctidishemioctintercepted hemioctachoron 1
doh honho 4D disoctihemihexadekintercepted hemioctachoron 1
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
ecubedpy 4D elongated cubical bipyramid, hexadiminished icositetrachoron 1
ecubpy 4D elongated cubical pyramid, heptadiminished icositetrachoron 1
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
ghahoh 4D great hexadecahemihexadecachoron 1
gico 4D great icositetrachoron, stella prismata, compound of 3 tes 1
... 4D gico+8co+16 2thah (?) 1
gidtiddip 4D great-ditrigonary-icosidodecahedron prism 1
gidtixhi 4D great ditrigonary hexacosihecatonicosachoron 1
... 4D gidtixhi+dox (?) 1
gifdahihox 4D great fissary dodecahedronary hecatonicosihemihexacosachoron 1
gitpodady 4D great (intersected) tripesic dodecahedronary dishecatonicosachoron 1
gridaphi 4D great retroinverted dodecahedronary prismatohecatonicosachoron 1
gridixhi 4D great retroinverted dodecahedronary hexacosahecatonicosachoron 1
gudap (old: gedap) 4D great duoantiprism, (old: great double antiprism) (but not: great antiprism) 1
gyspid (alt: tetacobcu) 4D gyrated small prismatodecachoron, orthobicupola of runcinated pentachoron, tetaco orthobicupola 1
hodho 4D hexadecoctidishemioctachoron 1
hoh honho 4D hexadecoctihemihexadekintercepted hemioctachoron 1
hohoh 4D hexadecoctihemihexadecachoron 1
huhoh 4D hexadecahemihexadecachoron 1
ico 4D icositetrachoron, 24-cell, xylochoron, octaplex, rectified hexadecachoron, birectified tesseract, 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) 1
... 4D ico+gico+72{4} (?) 1
... 4D ico+gico+24co (?) 1
idhi 4D invertidodecahedronary hecatonicosachoron 1
ihi 4D icositetrahemiicositetrachoron 1
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
octaco, K-4.29 4D octahedron atop cuboctahedron, half of icositetrachoron (its oct-first rotunda), rectified octahedron-pyramid 1
octatricu, oct || tricu, K-4.30 4D octahedron atop trigonal cupola, 2/6-luna of icositetrachoron 1
odho 4D octidishemioctachoron 1
ofiddady 4D omnifacetododecahedronary dishecatonicosachoron 1
oh 4D octahemihexadecachoron 1
ohuhoh 4D octihexadecahemihexadecachoron 1
pabdico 4D parabidiminished icositetrachoron, hexa-augmented tesseract 1
paf, K-4.22 4D pentagonal antifastegium, pentagon - pap wedge, {5} || gyro pip 1
paphacki 4D pentagon-prismatic heptacosicosachoron, great prismasaurus (also: great prismosaurus) 1
paphicki 4D pentagram-prismatic heptacosicosachoron, small prismasaurus (also: small prismosaurus) 1
piphid 4D prismatopentahemidecachoron, copyrofacetoretropodichoron 1
... 4D piphid+10tet (?) 1
pta cubaike 4D cube-augmented cubaike 1
... 4D qo3oo3oo&#x, shallower variant of tetrahedral pyramid, vertex pyramid of tes 1
... 4D qo3oq3oo&#x, shallower variant of rap, segment of tes 1
rappisdi 4D retroantiprismatosnub disicositetrachoron 1
... 4D rappisdi+mesdi+288{4} (?) 1
ratho 4D rectified tesseractihemioctachoron 1
... 4D cuboctahedral retro-cuploid 1
sadixhix (old: sixhix) 4D small dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not gadixhix) 1
shahoh 4D small hexadecahemihexadecachoron 1
sidtiddip 4D small-ditrigonary-icosidodecahedron prism 1
sidtixhi 4D small ditrigonary hexacosihecatonicosachoron 1
... 4D sidtixhi+dox (?) 1
sifdahihox 4D small fissary dodecahedronary hecatonicosihemihexacosachoron 1
... 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
sissidagad, sissid || gad 4D small stellated decahedron atop great dodecahedron, sissid antiprism, gad antiprism 1
sitpodady 4D small (intersected) tripesic dodecahedronary dishecatonicosachoron 1
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) 1
spidy 4D swirlprismattic dishecatonicosachoron, compound of 24 starpedip 1
squippiaco, K-4.31 4D square-pyramid atop cuboctahedron 1
squippiatricu, K-4.32 4D square-pyramid atop triangular-cupola 1
sridaphi 4D small retroinverted dodecahedronary prismatohecatonicosachoron 1
sridixhi 4D small retroinverted dodecahedronary hexacosahecatonicosachoron 1
starpedip (old: stipdip, starpendip) 4D pentagram-pentagon duoprism, stellar (pentagonal) pentagonal diprism 1
stoc 4D stellated tetracontoctachoron, compound of 2 ico 1
tes (alt.: squadip), K-4.20 4D tesseract, octachoron, "hypercube", 4D measure-polytope4), 8-cell, geoter(id), square duoprism, vertex figure of icot 1
tetaco, tet || co, K-4.23 4D tetrahedron atop cuboctahedron, tetrahedral rotunda of small prismatodecachoron 1
tetacoaoct 4D octahedron atop (pseudo) cuboctahedron atop tetrahedron 1
tetatricu, tet || tricu, K-4.24 4D tetrahedron atop trigonal cupola, 0.290215-luna of small prismatodecachoron 1
tetu 4D axially-tetrahedral ursachoron ofx3xoo3ooo&#xt, tet-based ursulate, vertex figure of sadit 1
tidtes 4D tetra-diminished tesseract 1
tracufbil 4D triangular-cupofastegia biluna, {3} || tricu || {3}, 0.419569-luna of gyspid 1
trateddi, {3} || teddi, K-4.33 4D {3} atop teddi, teddi based wedge 1
traw, K-4.27 4D trigonal antitriwedge, hexagon - octahedral wedge, triangular gyrobicupolaic ring, {6} || oct, {3} || gyrated tricu, 1/6-luna of ico 1
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
tridico (alt.: cytid ico) 4D (cyclo)tridiminished ico 1
trisqdip 4D trisquare duoprism, compound of 9 tes in twaddip army 1
... 4D trigonal mibdi-laced wedge 1
... 4D cyclo-hexagonally diminished ico, tegum sum of 2 bi-dual (x,q)-triddips 1
... 5D 2rhohid (?) 1
chad 5D cellihemidodecateron 1
cubasquasc 5D cube atop squasc 1
dehad 5D dodecahemidodecateron 1
dibhid 5D dodecabiprismatohemidodecateron 1
hexaco 5D hexadecachoron atop cuboctahedron, 0.147584-luna of rectified triacontiditeron 1
hexaico, hex || ico 5D hexadecachoron-first rotunda of rectified triacontiditeron, hexadecachoron atop icositetrachoron 1
octpy || octaco 5D 1/4-lune of rectified triacontiditeron, octahedron-pyramid atop octhedron-first-rotunda-of-icositetrachoron 1
opeaco 5D octahedron-prism atop cuboctahedron, diminished 1/4-lune of rat 1
opeah 5D ope atop hexagon, (trip,gyro trip,hexagon)-trigonic 1
opepy 5D octahedral-prismatic pyramid, vertex pyramid of rectified triacontiditeron 1
penaspid 5D pentachoron atop small prismated decachoron, pen-first rotunda of scad 1
penatrip 5D pentachoron atop trigonal prism, (edge,perp triangle,trip)-trigonic 1
pexhix (alt.: triddipah, tripotricudaw) 5D partially expanded hexateron, triangle-triangle duoprism atop hexagon, (trip, ortho tricu)-disphenoid 1
rapaco (alt.: tetoct cotric) 5D rap atop co, 0.176208-luna of rat, (tet,oct,co)-trigonic 1
rapaspid 5D rectified pentachoron atop small prismated decachoron, rap-first half of rat 1
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) 1
ratchet 5D retrotriacontidicellihemitriacontaditeron 1
rhohid 5D rectified hexadecahemidecateron 1
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) 1
squasquippy 5D square-squippy duoprism, squippyp prism 1
squippyippy 5D square-pyramidal-prismatic pyramid, half of vertex pyramid of rectified triacontiditeron 1
squoct 5D square-octahedron duoprism, vertex figure of brinoh 1
tepaco (alt.: tettet cotric) 5D tepe atop co, 0.217953-luna of scad, (tet,tet,co)-trigonic 1
tisdipah 5D tisdip atop hexagon 1
traltisdip 5D triangle atop gyrated tisdip 1
tripgytricudaw 5D (trip, gyro tricu)-disphenoid 1
dotip 6D dodecateron prism 1
dotpy 6D dodecateron pyramid, vertex pyramid of mo 1
dottascad 6D dodecateron atop small cellated dodecateron 1
hexipaico 6D hexip atop ico, diminished 1/4-lune of rag 1
hexippy 6D hexip pyramid, vertex pyramid of rag 1
hinro (alt.: hinarat) 6D demipenteractic rotunda, hin-first half of mo, hin atop rat 1
hixascad 6D hexateron atop small cellated decateron, hix-first rotunda of small terated tetradecapeton 1
mo 6D pentacontitetrapeton, Gosset polypeton 12,2, vertex figure of jakoh, lattice E6 contact polytope (span of its roots) 1
octdip 6D octahedron-octahedron duoprism, dual of Delone cell of lattice D6*, vertex figure of traxh 1
oddimo (alt.: bittip) 6D octadeca-diminished mo, bitriangular trioprism 1
pabdimo, dot||scad||dot 6D parabidiminished mo, dodecateron atop pseudo small cellated dodecateron atop dodecateron 1
raddirag 6D rhombidodecahedraly-diminished rectified hexacontatetrapeton 1
rag (old: ric) 6D rectified hexacontitetrapeton, lattice B6 contact polytope (span of its small roots), lattice D6 contact polytope (span of its roots) 1
rixascad 6D rectified hexateron atop small cellated dodecateron, half of rectified hexacontitetrapeton (its rix-first rotunda) 1
squahex 6D square-hexadecachoron duoprism 1
staf (interim: stef) 6D small terated tetradecapeton, pentellated heptapeton, expanded heptapeton, lattice A6 contact polytope (span of its roots) 1
taccarat 6D triacontaditeron atop rectified triacontaditeron, tac-first rotunda of rectified hexacontitetrapeton 1
triddipabl tratrip 6D triddip atop bidual tratrip 1
trittip 6D triangle-triangle-triangle-triprism, vertex figure of ramoh 1
xedrag 6D hexeractidiminished rectified hexacontatetrapeton, square cuboctahedroltriate, scaliform dodecadiminished rectified hexacontatetrapeton 1
brilastaf 7D bril atop staf, hop-first subsegment of laq 1
garag 7D gee atop rag, gee-first rotunda of rez 1
haxarag 7D hemihexeract atop rectified hexacontitetrapeton, vertex-first subsegment of pentacontihexapentacosiheptacontihexaexon 1
haxpy 7D hemihexeractic pyramid, vertex pyramid of laq 1
he (old: ache) 7D hexadecaexon, trirectified octaexon, equatorial cross-section of (vertex first) 1/q-octo, Gosset polytope 03,3 1
hopalbril 7D hop atop inverted bril, hop-first cap of laq 1
hopastaf 7D hop atop staf, half of suph (its hop-first rotunda), partial Stott expansion of oca 1
jakamo 7D jak atop mo, jak-first half of parabidiminished laq 1
laq 7D pentacontihexapentacosiheptacontihexaexon, Gosset polyexon 21,3, vertex figure of naquoh, lattice E7 contact polytope (span of its roots) 1
octhex 7D octahedron - hexadecachoron duoprism, vertex figure of troch 1
... 7D oxo3ooo3ooo3xoo3ooo3oxx&#xt 1
rez (old: rhio) 7D rectified hecatonicosoctaexon, lattice B7 contact polytope (span of its small roots), lattice D7 contact polytope (span of its roots) 1
rilastaf 7D ril atop staf, ril-first rotunda of rez 1
rixasc 7D rectified-hexateronal scalene, rectified-hexateronal-pyramid pyramid, line atop fully orthogonal rectified-hexateron 1
squarat 7D square rectified-triacontiditeron duoprism 1
suph 7D small petated hexadecaexon, hexicated octaexon, expanded octaexon, lattice A7 contact polytope (span of its roots) 1
taccuppy 7D triancontaditeron-prism pyramid, vertex pyramid of rectified hecatonicosoctaexon 1
tetdippy 7D tetdip pyramid, vertex pyramid of he 1
tettepe 7D tetrahedron-tetrahedron duoprismatic prism, vertex figure of 03,3,1 1
trahex aico 7D trahex atop ico 1
trarix 7D triangle-rix duoprism 1
trial trahex 7D triangle atop inverted trahex 1
brene 8D birectified enneazetton, Gosset polytope 05,2 1
broca (old: brocalbroc) 8D broc alterprism, broc atop inverted broc, central segment of hocto 1
codify (alt.: trihexdip) 8D tetracontaocta-diminished dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, tegum sum of 3 pairwise bigyrated hexadecachoron duoprisms, tri-hexadecachoron-duoprism 1
fib 8D dischiliahectohexaconta-diacositetraconta-zetton 1
fy 8D dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 41,2, Witting polytope, vertex figure of goh, lattice E8 contact polytope (span of its roots) 1
hexal hesa 8D hex atop alternated hesa, hex-first cap of codify 1
hexdip 8D hexadecachoron duoprism 1
hocto (alt.: gecdify) 8D hemiocteract, 64(=g)+48(=c)-diminished fy, Gosset polytope 15,1 1
idirek 8D icositetra-diminished rectified diacosipentacontahexazetton 1
jakaf (old: jakaljakip) 8D icosiheptaheptacontidipeton alterfastegium, icosiheptaheptacontidipeton atop inverted icosiheptaheptacontidipeton-prism 1
kadify 8D heptacontadia-diminished dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, tegum sum of two mutually inverted birectified enneazetta, bidiambooctadecazetton 1
naqpe 8D naq prism, prism of Gosset polyexon 32,1 1
ocalroc 8D oca atop inverted roc, oca-first cap of fy 1
octa tethex 8D oct atop tethex 1
rek 8D rectified diacosipentacontahexazetton, lattice B8 contact polytope (span of its small roots), lattice D8 contact polytope (span of its roots) 1
rocalbroc 8D roc atop inverted broc, oca-first subsegment of fy 1
rocpy 8D rectified-octaexonal pyramid, vertex pyramid of demiocteract 1
soxeb 8D small exiated bi-enneazetton, heptellated enneazetton, expanded enneazetton, lattice A8 contact polytope (span of its roots) 1
tethex aico 8D tethex atop ico 1
trajak 8D triangle - icosiheptaheptacontidipeton duoprism 1
triphix 8D triangle - hexateron duoprismatic prism, vertex figure of ribfoh 1
yab 8D myriaheptachiliadiacosioctaconta-diacositetraconta-zetton 1
riv 9D rectified pentacosidodecayotton, lattice B9 contact polytope (span of its small roots), lattice D9 contact polytope (span of its roots) 1
rake 10D rectified chilliaicositetraxennon, lattice B10 contact polytope (span of its small roots), lattice D10 contact polytope (span of its roots) 1
tazt 2D hyperbolic trigonal-horocyclic tiling, hyperbolic triapeirogonal tiling 1 i
tehat 2D hyperbolic tetrahexagonal tiling 1 i
pistodip 4D pentagon - octagram duoprism 1.008216
gaquatid 3D great quasitruncated icosidodecahedron, stellatruncated icosidodecahedron 1.020684
gippixhihy 4D great prismatohexacosihecatonicosihecatonicosachoron 1.021064
quippirgax 4D quasiprismatorhombated grand hexacosachoron 1.021064
gabdacan 5D great biprismatodiscellipenteract 1.021221
ginnont 5D great penteractipenteractitriacontiditeron 1.021221
gittithip 5D great-tesseractitesseractihexadecachoron prism 1.021221
quacant 5D quasicellated penteractitriacontiditeron 1.021221
breday 9D birectified decayotton, Gosset polytope 06,2 1.024695
gwavathi 4D great sphenoverted triakishecatonicosachoron 1.027486
qrigfix (old: querfix) 4D quasirhombated great faceted hexacosachoron 1.027486
trapedip, K-4.34 4D triangle - pentagon duoprism, pentagon - pip wedge 1.028076
penu 5D pentachoral-based ursateron ofx3xoo3ooo3ooo&#xt, pen-based ursulate 1.029086
cubaco, cube || co, K-4.35 4D cube atop cuboctahedron, cubical cupola 1.031784
tracube 5D triangle - cube duoprism 1.040833
trope (old: troctip) 6D triangle-octahedron duoprismatic prism 1.040833
... 3D hyperbolic x3o4x3o4*a tesselation 1.045866 i
petet 5D pentagon-tetrahedron duoprism, pentagon duofastegium 1.048144
squarap 6D square - rectified-pentachoron duoprism 1.048809
octrap 7D octahedron - rectified-pentachoron duoprism 1.048809
icates, ico || tes 5D icositetrachoron atop tesseract 1.050501
icoap (alt.: icoalico) 5D icositetrachoral antiprism, icositetrachoron atop dual icositetrachoron 1.050501
... 5D squap - square duoprism, {4}-wedge of tessap 1.050501
tessap 5D tesseract antiprism, hexadecachoron antiprism 1.050501
pistadedip 4D pentagon - decagram duoprism 1.051462
brillip 7D birectified - heptapeton prism 1.052209
... 3D 2tiggy (?) 1.053292
tiggy 3D truncated great icosahedron, great truncated icosahedron 1.053292
trene 8D trirectified enneazetton, Gosset polytope 04,3 1.054093
garawv hixhi 4D great retrosphenoverted hecatonicosihexacosihecatonicosachoron 1.054256
sirgax 4D small rhombated grand hexacosachoron 1.054256
ripech 3D hyperbolic rectified order 5 cubic honeycomb 1.057371 i
... 3D x f3o, variation of triangular prism 1.059565
... 2D hyperbolic rectified ditetragonary tritetragonal tiling, cantic order 4 hexagonal tiling 1.060082 i
triddit 4D triangle duotegum, dual of triangle duoprism, 6-2-stepprism 1.060660
tetcube 6D tetrahedron - cube duoprism 1.060660
haxip 7D hemihexeractic prism, vertex figure of rinquoh 1.060660
henne 9D demi-enneract, Gosset polytope 16,1 1.060660
tragittith 6D (triangle,gittith)-duoprism 1.061238
quitco 3D quasitruncated cuboctahedron, great truncated cuboctahedron, stellatruncated cuboctahedron 1.062393
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
sissidadid, sissid || did 4D small stellated dodecahedron atop dodecadodecahedron, small-stellated-dodecahedral cupola 1.064815
... 4D 2firgaghi (?) 1.070466
firgaghi 4D faceted rectified great grand hecatonicosachoron 1.070466
mohiny 4D medial hecatonicosintercepted hecatonicosachoron 1.070466
ragaghi 4D rectified great grand hecatonicosachoron 1.070466
... 3D hyperbolic x3x3o3o5*a tesselation 1.072098 i
cubpen 7D cube-pentachoron duoprism 1.072381
... 3D f x4o, variation of cube 1.074481
gaddip 4D great-dodecahedron prism 1.074481
gyepippip 4D gyroelongated-pentagonal-pyramid prism 1.074481
ipe, K-4.36 4D icosahedron prism 1.074481
mibdip 4D metabidiminished-icosahedron prism 1.074481
pappip, K-4.39 4D pentagonal-antiprism prism 1.074481
peppyp, K-4.38 4D pentagon-pyramidal prism, J2 prism, line || pip 1.074481
teddipe 4D tridiminished-icosahedron prism 1.074481
sishiap 5D small stellated hecatonicosachoron antiprism, narrower sishi atop sishi 1.074481
... 5D sishiap + 2 2sishi (?) 1.074481
sitpodadia 5D small (intersected) tripesic dodecahedronary dishecatonicosachoron alterprism 1.074481
titstip 6D triangle-triangle-square triprism 1.080123
gaqrigafix 4D great quasirhombated great faceted hexacosachoron 1.080363
tetgittith 7D (tet,gittith)-duoprism 1.080691
giphado 4D great prismatohexadecadisoctachoron 1.082392
girpith 4D great rhombiprismated tesseractihexadecachoron 1.082392
qrico 4D quasirhombated icositetrachoron 1.082392
quiproh 4D quasiprismatorhombated hexadecachoron 1.082392
wavaty 4D sphenoverted triakisicositetrachoron 1.082392
hap, 6-ap 3D hexagonal antiprism 1.087664
stopen 6D octagram-pentachoron duoprism 1.092197
... 4D pentachoron-derived Gévay polychoron, rectified o3m3o3o 1.095445
treday 9D trirectified decayotton, Gosset polytope 05,3 1.095445
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
... 3D q x5o, variation of pentagonal prism 1.106168
squipdip, K-4.42 4D square-pentagon duoprism 1.106168
poct 5D pentagon - octahedron duoprism 1.106168
trike 5D triangle - icosahedron duoprism 1.112583
griso 3D great rhombisnub octahedron, compound of 4 hip 1.118034
hip 3D hexagonal prism, Voronoi cell of unit-stacked hexagonal lattice 1.118034
... 3D ho3oh&#q, narrower variant of trigonal antiprism, hemiation of hip 1.118034
rosi 3D rhombisnub icosahedron, compound of 10 hip 1.118034
chope 4D cubohemioctahedron prism 1.118034
cope, K-4.43 4D cuboctahedron prism 1.118034
diddip 4D dodecadodecahedron prism 1.118034
... 4D vertex figure of great biprismatodiscellipenteract 1.118034
ohope 4D octahemioctahedron prism 1.118034
... 4D vertex figure of quasicellated penteractitriacontiditeron 1.118034
tobcupe, K-4.44 4D triangular-orthobicupola prism 1.118034
tricupe, K-4.45 4D triangular-cupola prism, triangular prism atop hexagonal prism 1.118034
cubpyp 5D cubpy prism 1.118034
icope 5D icositetrachoron prism 1.118034
opeacope 5D ope atop cope, octaco-prism, ope-first half of icope 1.118034
pent 5D penteract, decateron, 5D measure-polytope5), geopet(id) 1.118034
spiddip 5D small-prismatodecachoron prism 1.118034
tepeacope 5D tepe atop cope, tepe-first half of spiddip 1.118034
trawp (alt.: opea hip) 5D traw prism, ope atop hip, 1/6-lune of icope 1.118034
tricufip 5D tricuf prism 1.118034
octcube 6D octahedron-cube duoprism 1.118034
ratip 6D rectified-triacontiditeron prism 1.118034
cubhex 7D cube-hexadecachoron duoprism 1.118034
tratratrip 7D triangle - triangle - triangle - triprismatic prism 1.118034
icoy 9D icosayotton, quadrirectified decayotton, equatorial cross-section of (vertex first) 1/q-deker, Gosset polytope 04,4 1.118034
hede 10D demi-dekeract, Gosset polytope 17,1 1.118034
... 3D hyperbolic x3o3x3o5*a tesselation 1.118425 i
quotacog 6D quasitericellated hexacontatetrapeton 1.121320
icaf (alt.: icalicope) 6D icositetrachoron antifastegium, icositetrachoron atop inverted icositetrachoral-prism 1.123033
desided 3D disnub icosidodecadodecahedron, compound of 2 sided 1.126898
sided 3D snub icosidodecadodecahedron, dagon 1.126898
gaquapac 4D great quasiprismatotetracontoctachoron 1.127864
haf, K-4.46 4D hexagonal antifastegium, hexagon - hap wedge, {6} || gyro hip 1.130454
tetike 6D tetrahedron-icosahedron duoprism 1.131154
gidditdid 3D great ditrigonary dodekicosidodecahedron, great dodekified icosidodecahedron 1.134229
giddy 3D great dodekicosahedron 1.134229
... 3D giddy+12{10/2} (?) 1.134229
... 3D giddy+20{6/2} 1.134229
giid 3D great icosicosidodecahedron 1.134229
gaquatiddip 4D great-quasitruncated-icosidodecahedron prism 1.136572
getit dixady 4D great tritrigonal dihexacosidihecatonicosachoron 1.136572
getit phiddix 4D great tritrigonal prismatohecatonicosidishexacosachoron 1.136572
getit pixady 4D great tritrigonal prismatohexacosidihecatonicosachoron 1.136572
getit thix 4D great tritrigonal trishecatonicosihexacosachoron 1.136572
getit xethi 4D great tritrigonal hexacositrishecatonicosachoron 1.136572
git thixady 4D great tritrigonal hecatonicosihexacosidishecatonicosachoron 1.136572
histodip 4D hexagon - octagram duoprism 1.137055
ginnontip 6D ginnont prism 1.137055
goxaxog 6D great hexeractihexeractihexacontitetrapeton 1.137055
quitoxog 6D quasiterated hexeractihexacontatetrapeton 1.137055
trapip (old: trapedippip) 5D triangle pentagonal-prism duoprism, triangle-pentagon duoprismatic prism 1.143215
octu 4D axially-octahedral ursachoron ofx3xoo4ooo&#xt, oct-based ursulate, vertex figure of s3s4o3o4o 1.144123
hexu 5D hexadecachoral-based ursateron ofx3xoo3ooo4ooo&#xt, hex-based ursulate 1.144123
... 3D u x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron 1.154701
thiddip, K-4.47 4D triangle - hexagon duoprism, hexagon - hip wedge 1.154701
triddep 4D triangular duoexpandoprism, expanded triddip, tegum sum of 2 alternated thiddips 1.154701
traco (alt.: cocoe cotric) 5D triangle - cuboctahedron duoprism, (co,co,co)-trigonic 1.154701
tritricu 5D triangle-tricu duoprism, half of traco 1.154701
traspid 6D triangle - small-prismated-pentachoron duoprism 1.154701
tratess 6D triangle - tesseract duoprism 1.154701
trico 6D triangle - icositetrachoron duoprism 1.154701
tratac 7D triangle - triacontiditeron duoprism, vertex figure of bark 1.154701
triquip 8D triangle-triangle-triangle-triangle-tetraprism (or: -quadprism) 1.154701
tiggipe 4D truncated-great-icosahedron prism 1.165943
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
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 1.172604
hatet (old: hittet, alt. hipdaw) 5D hexagon-tetrahedron duoprism, hexagon duofastegium, hip disphenoid 1.172604
tetco 6D tetrahedron-cuboctahedron duoprism 1.172604
tettes 7D tetrahedron-tesseract duoprism 1.172604
traginnont 7D (triangle,ginnont)-duoprism 1.173127
... 3D f x5o, variation of pentagonal prism 1.173932
gichado 4D great cubihexadecadisoctachoron 1.174172
girpdo 4D great rhombiprismatodisoctachoron 1.174172
paqrit 4D prismatoquasirhombated tesseract 1.174172
quitcope 4D quasitruncated-cuboctahedron prism 1.174172
sroteoct 2D hyperbolic (small) rhombitetraoctagonal tiling 1.175154 i
... 4D 2prapvixhi (?) 1.175571
... 4D 2spapivady (?) 1.175571
griphi 4D great retropental hecatonicosachoron 1.175571
prap vixhi 4D pentagonal retroprismatoverted hexacosahecatonicosachoron 1.175571
ragashi 4D rectified grand stellated hecatonicosachoron 1.175571
ragishi 4D rectified great stellated hecatonicosachoron 1.175571
spapivady 4D small pentagrammal antiprismatoverted dishecatonicosachoron 1.175571
gaqrigagishi 4D great quasirhombated great grand stellated hecatonicosachoron 1.179024
... 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
biscsrip 4D bistratic trip-cap of srip, {3}-diminished small rhombated pentachoron 1.183216
coatut, co || tut, K-4.48 4D cuboctahedron atop truncated tetrahedron, cuboctahedral cap of small rhombated pentachoron 1.183216
garpop 4D grand rhombated prismatopentachoron 1.183216
octatut, oct || tut, K-4.52 4D octahedron atop truncated tetrahedron, octahedral cap of small rhombated pentachoron 1.183216
pinnipdip 4D pentaintercepted prismatodispentachoron, prismatopentaintercepted dispentachoron 1.183216
... 4D pinnipdip+15{4} (?) 1.183216
pippindip 4D prismatopentintercepted dispentachoron 1.183216
pirpop 4D pseudorhombated prismatopentachoron 1.183216
... 4D pirpop+5 2thah (?) 1.183216
rawvtip 4D retrosphenoverted triakispentachoron 1.183216
sirdop 4D small rhombidispentachoron 1.183216
srip 4D small rhombated pentachoron, cantellated pentachoron 1.183216
tobcuatut, tobcu || tut, K-4.49 4D triangular-orthobicupola atop truncated-tetrahedron 1.183216
tricuatut, tricu || tut, K-4.50 4D triangular-cupola atop truncated-tetrahedron 1.183216
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
copen 7D cuboctahedron - pentachoron duoprism 1.183216
squike 5D square-icosahedron duoprism 1.185120
octike 6D octahedron-icosahedron duoprism 1.185120
... 3D hyperbolic o3x3x3o4*a tesselation 1.189207 i
copatut 5D cope atop tut 1.190238
opeatut (alt.: octoct tuttric) 5D ope atop tut, (oct,oct,tut)-trigonic 1.190238
pabex hix (alt.: thiddipcup) 5D partially bi-expanded hexateron, thiddip cupoliprism 1.190238
rapalsrip 5D rap atop inverted srip, rap-first cap of spix 1.190238
rapatut (alt.: tetoct tuttric) 5D rap atop tut, (tet,oct,tut)-trigonic 1.190238
rippix 5D retroprismated hexateron 1.190238
spidasrip 5D spid atop srip, spid-first cap of spix 1.190238
spix 5D small prismated hexateron, runcinated hexateron 1.190238
tetacope 5D tet atop cope, tet-first segment of spix 1.190238
topax 5D pteroprismated hexateron 1.190238
triddip althiddip 5D triddip atop gyrated thiddip 1.190238
triddipa hip 5D triddip atop hip, (triangle,trip,hip)-trigonic 1.190238
tripa thiddip 5D trip atop thiddip, (hexagon,trip,hip)-trigonic 1.190238
gadencorn 5D great dispinocellirhombated penteract 1.192297
garcornit 5D great retrocellirhombated penteractitriacontaditeron 1.192297
quacrant 5D quasicellirhombipenteractitriacontiditeron 1.192297
wacbinant 5D sphenary cellibiprismatopenteractipenteractitriacontaditeron 1.192297
rixalspix 6D rectified hexateron atop small prismated hexateron, rix-first cap of scal 1.195229
scadaspix 6D small cellated dodecateron atop small prismated hexateron, scad-first cap of scal 1.195229
scal 6D small cellated heptapeton, stericated heptapeton 1.195229
happip, K-4.53 4D hexagonal-antiprism prism 1.197085
seto 7D small terated octaexon, pentellated octaexon 1.198958
taggix 4D truncated grand hexacosachoron 1.199039
tigfix 4D truncated great faceted hexacosichoron 1.199039
... 3D truncated pedpy variant, o2o5o symmetric co relative 1.203002
pedip 4D pentagon-pentagon duoprism 1.203002
pedpedip 4D pentadiminished pentagonal duoprism 1.203002
gippixady 4D great prismatohexacosadishecatonicosachoron 1.207883
paqrigagishi (old: paqrahi) 4D prismatoquasirhombated great grand stellated hecatonicosachoron 1.207883
pecube 5D pentagon-cube duoprism 1.213922
... 3D q3o3x, variation of cuboctahedron 1.215958
trikep 6D triangle-icosahedron duoprismatic prism 1.219771
thihexat 2D hyperbolic truncated order 6 hexagonal tiling 1.221076 i
... 3D q x6o, variation of hexagonal prism 1.224745
... 3D u x4o, variation of cube 1.224745
... 4D 2rit+64tet (?) 1.224745
firt 4D facetorectified tesseract 1.224745
gotto 4D great trisoctachoron, great triakisoctachoron 1.224745
hinnit 4D hexadekintercepted tesseract 1.224745
mibdirit 4D metabidiminished rectified tesseract, wedge-diminished rectified tesseract, bistratic cuboctahedron based wedge 1.224745
rit 4D rectified tesseract, rectified octachoron, birectified hexadecachoron, runcic tesseract 1.224745
shiddip, K-4.54 4D square - hexagon duoprism 1.224745
sto 4D small trisoctachoron, small triakisoctachoron 1.224745
... 4D sto+16tet (?) 1.224745
tetatut, K-4.56 4D tetrahedron atop truncated tetrahedron, tetrahedral cap of rectified tesseract 1.224745
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
coa tutcup, co || tutcup 5D co atop tuta 1.224745
coarit 5D co atop rit 1.224745
hisquippy 5D hexagon-squippy douprism, half of hoct 1.224745
hoct 5D hexagon octahedron duoprism 1.224745
ica tutcup, ico || tutcup 5D icositetrachoron atop truncated-tetrahedral-cupoliprism 1.224745
icarit, ico || rit 5D icositetrachoron atop rectified tesseract, ico-first half of nit 1.224745
irl 5D invertiretrolepidoteron 1.224745
irohlohn 5D invertiretrohexadecalepidohemipenteract 1.224745
mibdinit 5D metabidiminished nit, rectified bidhin 1.224745
nat 5D spinotriacontaditeron 1.224745
nit 5D penteractitriacontiditeron, birectified penteract, birectified triacontiditeron, birectified pentacross, Gosset polytope 02,1,1 1.224745
octacope 5D oct atop cope, oct-first cap of nit 1.224745
octco tuttric 5D (oct,co,tut)-trigonic 1.224745
octhipdaw (alt.: traporhip) 5D (oct,hip)-disphenoid, trigonal antiprism atop axis-orthogonal hexagonal prism 1.224745
raccoth 5D retrocellitriacontadiahexadecateron 1.224745
rapasrip 5D rectified pentachoron atop small rhombated pentachoron, rap-first cap of nit 1.224745
squaco 5D square-cuboctahedron duoprism 1.224745
squadinit 5D square-diminished nit 1.224745
squatricu 5D square-tricu duoprism 1.224745
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
tisdippy 5D triangle-square-duoprism pyramid, vertex pyramid of nit 1.224745
trial tricupe 5D triangle atop gyrated tricupe, (triangle,gyro trip,hip)-trigonic 1.224745
ax (old: hexe) 6D hexeract, dodecapeton, 6D measure-polytope6), geoex(id) 1.224745
brag (old: dric) 6D birectified hexacontitetrapeton, Voronoi cell of lattice D6* 1.224745
dottaspix 6D dodecateron atop small prismated hexateron, dot-first cap of birectified hexacontitetrapeton 1.224745
octco 6D octahedron-cuboctahedron duoprism 1.224745
ratanit 6D rectified triacontaditeron atop penteractitriacontiditeron, rat-first rotunda of brag 1.224745
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
squico 6D square-icositetrachoron duoprism 1.224745
barz (old: drhio) 7D birectified hecatonicosoctaexon 1.224745
octico 7D octahedron - icositetrachoron duoprism 1.224745
ragabrag 7D rag atop brag, rag-first rotunda of barz 1.224745
scalal scal 7D small cellated heptapeton atop inverted small cellated heptapeton, medial segment of barz 1.224745
trahexpy 7D trahex pyramid, vertex pyramid of barz 1.224745
bark 8D birectified diacosipentacontahexazetton 1.224745
hextes 8D hexadecachoron-tesseract duoprism 1.224745
recto 8D rectified octeract, rectified hexadecazetton 1.224745
brav 9D birectified pentacosidodecayotton 1.224745
risquah 3D hyperbolic rectified square-tiling honeycomb 1.224745 i
tessarit 5D tesseract atop rectified tesseract 1.227160
pentanit 6D pent atop nit 1.228783
gaqri 4D great quasirhombated icositetrachoron 1.230739
gidditdiddip 4D great-ditrigonary-dodekicosidodecahedron prism 1.239546
giidip 4D great-icosicosidodecahedron prism 1.239546
gososaz 7D great hepteractihepteractihecatonicosoctaexon 1.242133
goxaxogip 7D goxaxog prism 1.242133
guposaz 7D great petated hepteractihecatonicosoctaexon 1.242133
quiposaz 7D quasipetated hepteractihecatonicosoctaexon 1.242133
gixhi 4D great hexacosihecatonicosachoron 1.244649
ragashia 5D rectified grand stellated hecatonicosachoron alterprism 1.248606
... 4D octaswirlic enneacontahexachoron, twelvefold dissected octahedral polytwister, twelvefold dissected octer 1.255926
hep 3D heptagonal prism 1.256179
... 3D x u3o, variation of triangular prism 1.258306
trahip (old: thiddippip) 5D triangle hexagonal-prism duoprism, triangle-hexagon duoprismatic prism 1.258306
tracope 6D triangle-cuboctahedron duoprismatic prism 1.258306
trapent 7D triangle-penteract duoprism 1.258306
rawvhiddix 4D retrosphenoverted hecatonicosadishexacosachoron 1.258409
wavdatixady 4D sphenoverted ditrigonary hexacosadishecatonicosachoron 1.258409
rapu 5D rectified-pentachoral-based ursateron xoo3ofx3xoo3ooo&#xt, rap-based ursulate 1.258489
tip (alt: tettum) 4D truncated pentachoron, tet-based tutsatope, tet-based tutism 1.264911
tisted 4D truncated stellated decachoron, compound of 2 truncated pentachora 1.264911
tepet (old: tepeat) 2D hyperbolic tetrapentagonal 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
tuttip, K-4.57 4D truncated-tetrahedron prism 1.274755
fenandoh 5D facetospinopenteractidishexadecateron 1.274755
fidoh 5D facetoinverted decahexadecateron 1.274755
hexalrit 5D hex atop gyrated rit, hex-first cap of siphin 1.274755
octa tutcup, oct || tutcup 5D oct atop tuta 1.274755
penasrip 5D pen atop srip 1.274755
pexhin (old: tutas) 5D partially expanded hemipenteract, truncated tetrahedron altersquarism, tuta alterprism, cyclodiminished siphin 1.274755
rita (old: ritag rit) 5D rit atop gyro rit, medial segment of hex-first siphin 1.274755
siphin 5D small prismated hemipenteract, runcinated demipenteract, steric penteract 1.274755
spidatip 5D small-prismate-pentachoron atop alternate truncated-pentachoron 1.274755
sripaltip 5D srip atop inverted tip 1.274755
tepatut (alt.: tettet tuttric) 5D tepe atop tut, tepe-first wedge of siphin, (tet,tet,tut)-trigonic 1.274755
tetco tuttric 5D (tet,co,tut)-trigonic 1.274755
triphipdaw (alt.: tripalhip) 5D (trip,hip)-disphenoid, trip atop lacing-orthogonal hip 1.274755
tutaf (old: tutaltuttip) 5D tut alterfastegium, tut atop inverted tuttip 1.274755
pike 5D pentagon-icosahedron duoprism 1.275976
gancpan 5D great spinocelliprismated penteract 1.276197
getitdin 5D great tesseractitriacontidiadispenteract 1.276197
copea tuttip 5D cope atop tuttip, cope-first monostratic cap of srippip 1.284523
opeatuttip 5D ope atop tuttip, octatut-prism, ope-first cap of srippip 1.284523
srippip 5D small-rhombated-pentachoron prism 1.284523
tripufip (alt.: tripa shiddip) 5D tripuf prism, trip-first cap of srippip 1.284523
... 3D f v10o, variation of decagonal prism, hull of 10/3-prism 1.286277
cubike 6D cube-icosahedron duoprism 1.286277
retdip (old: retriddip) 4D rectified triddip 1.290994
coatuttip 5D co atop tuttip, co-first cap of sarx 1.290994
lawx 5D ???-sphenary hexateron 1.290994
rawcax (old: rawvdipdopdix) 5D retrosphenary cellihexateron, (retrosphenoverted disprismatoduoprismatodiakishexateron) 1.290994
rawx 5D retrosphenary hexateron 1.290994
sarx 5D small rhombated hexateron, cantellated hexateron 1.290994
sripatip 5D srip atop tip, srip-first segment of sarx 1.290994
trathiddip 5D triangle atop thiddip, triangle-first cap of sarx 1.290994
hinanit 6D hin atop nit, hin-first cap of rojak 1.290994
medrojak (alt.: tritith) 6D pentacontitetra-diminished rojak, tri - (triangle,triangle,hexagon)-trioprism 1.290994
nitasiphin 6D nit atop siphin, hin-first medial segment of rojak 1.290994
ratasiphin 6D rat atop siphin, rat-first cap of rojak 1.290994
ritgyt 6D rectified-tesseractic gyrotrigonism 1.290994
rixaspix 6D rectified hexateron atop small prismated hexateron, rix-first cap of rojak 1.290994
rojak 6D rectified icosiheptaheptacontidipeton 1.290994
spixalsarx 6D spix atop inverted sarx 1.290994
spixip 6D small-prismated-hexateron prism 1.290994
tithtip 6D triangle-triangle-hexagon triprism 1.290994
pepip 5D pentagon duoprismatic prism 1.302772
bicont (old: ducont) 4D bitetracontoctachoron, tetracontoctachoron dual, bi-apiculated icositetrachoron, tetradisphenoidal 288-cell 1.306563
tratut (alt.: tuttut tuttric) 5D triangle truncated-tetrahedron duoprism, (tut,tut,tut)-trigonic 1.307032
spil 6D small prismated heptapeton, runcinated heptapeton 1.309307
... 3D u x5o, variation of pentagonal prism 1.312862
phiddip 4D pentagon hexagon duoprism 1.312862
peco 5D pentagon-cuboctahedron duoprism 1.312862
sidpichexah 3D hyperbolic small disprismated cubic-hexagonal-tiling honeycomb, hyperbolic prismated order 6 cubical honeycomb, hyperbolic runcinated order 6 cubical honeycomb 1.313295 i
... 3D 2raded (?) 1.322876
cotco 3D cuboctatruncated cuboctahedron, cubitruncated cuboctahedron 1.322876
ided 3D icosidodecadodecahedron 1.322876
raded 3D rhombidodecadodecahedron 1.322876
... 3D edge faceting raded-1-10-5-5 1.322876
... 3D ri+12{10/2} (?) 1.322876
... 3D ri+12{10/4} (?) 1.322876
hacube (old: hiccube) 5D hexagon cube duoprism 1.322876
ri 5D rhombicosahedron 1.322876
rittip 5D rectified-tesseract prism 1.322876
tepeatuttip 5D tepe atop tuttip, tetatut-prism 1.322876
tix (alt.: pentum) 5D truncated hexateron, pen-based tutism 1.322876
tutcupip 5D tuttip atop inverted tuttip, tuta-prism, medial segment of rittip 1.322876
bitettut (alt.: pabex gee) 6D bi - (tetrahedron, truncated tetrahedron)-duoprism, partially bi-expanded hexacontitetrapeton 1.322876
cocube 6D cuboctahedron-cube duoprism 1.322876
nitip 6D penteractitriacontiditeron prism 1.322876
pexhax 6D partially expanded hemihexeract 1.322876
sochax 6D small cellated hemihexeract, stericated demihexeract, pentic hexaract 1.322876
tettut 6D (tetrahedron,truncated-tetrahedron)-duoprism 1.322876
bragasochax 7D brag atop sochax, 2nd subsegment of lin in hax-first orientation 1.322876
brilalspil 7D bril atop inverted spil 1.322876
brilpy 7D birectified-heptapetonal pyramid, vertex pyramid of pentacontihexahecatonicosihexaexon 1.322876
haxabrag 7D hax-first monostratic cap of lin, hax atop brag 1.322876
hept 7D hepteract, tetradecaexon, 7D measure-polytope7), geozett(id) 1.322876
hidlin 7D hexadeca-diminished pentacontihexahecatonicosihexaexon 1.322876
lin 7D pentacontihexahecatonicosihexaexon, Gosset polyexon 12,3, Voronoi cell of lattice E7* 1.322876
moarojak 7D mo-first monostratic cap of lin, mo atop rojak 1.322876
rojaka (alt.: pabdilin, old: rojakalrojak) 7D rojak alterprism, parabidiminished lin, rojak atop alternate rojak 1.322876
scala spil 7D scal atop spil 1.322876
sco 7D small cellated octaexon, stericated octaexon 1.322876
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
... 3D f3o3x, variation of cuboctahedron 1.327129
coatutu 4D expanded axially-tetrahedral ursachoron, (co,tut)-based ursulate 1.328131
gad phiddix 4D great dipentary hecatonicosadishexacosachoron 1.328131
gaddaraded, gad || raded 4D great dodecahedron atop rhombidodecadodecahedron, gad-first cap of quipdohi 1.328131
gidipthi 4D great dipental trishecatonicosachoron 1.328131
gidpixathi 4D great dipentagonal hexacositrihecatonicosachoron 1.328131
gisdipthi 4D great stellated dipental trishecatonicosachoron 1.328131
prarsi 4D prismatorhombiretrosnub icositetrachoron 1.328131
quipdohi 4D quasiprismatodishecatonicosachoron 1.328131
dida raded, did || raded 4D dodecadodecahedron atop rhombidodecadodecahedron 1.336349
thaquitoth 4D tesseractihexadecaquasitruncated tesseractihexadecachoron 1.338990
gook 8D great octeractiocteractidiacosipentacontahexazetton 1.338990
quaxoke 8D quasi-exiocteracti-diacosipentacontahexazetton 1.338990
odsnic 3D octadiminished snub cube, chiral 4fold dodecahedron-like barrel, vertex figure of octsnich 1.343713
snic 3D snub cube, snub cuboctahedron 1.343713
ikedip 6D icosahedron-icosahedron duoprism 1.344997
ocat 2D hyperbolic order 3 octagonal tiling 1.345608 i
giphidy 4D great prismated hecatonicosadishecatonicosachoron 1.348948
quippirgashi 4D quasiprismatorhombated grand stellated hecatonicosachoron 1.348948
trarit 6D triangle - rectified-tesseract duoprism 1.354006
naquitant 5D penteractiquasitruncated penteractitriacontaditeron 1.354911
tippip 5D truncated-pentachoron prism 1.360147
sril 6D small rhombated heptapeton, cantellated heptapeton 1.362770
til 6D truncated heptapeton 1.362771
squatut 5D square - truncated-tetrahedron duoprism 1.369306
suthesa 7D small terated demihepteract, hexic hepteract 1.369306
oap, 8-ap 3D octagonal antiprism 1.375549
hike 5D hexagon icosahedron duoprism 1.380039
coike 6D cuboctahedron-icosahedron duoprism 1.380039
tipped 3D hyperbolic truncated order 5 dodecahedral honeycomb 1.383373 i
... 3D hyperbolic x3x3o3o4*a tesselation 1.391625 i
spo 7D small prismated octaexon, runcinated octaexon 1.391941
toc 7D truncated octaexon 1.391941
... 3D 2sirco (?) 1.398966
escu, J19 3D elongated square cupola, diminished small rhombicuboctahedron 1.398966
esquigybcu, J37 3D elongated square gyrobicupola, pseudorhombicuboctahedron, Miller's solid 1.398966
op 3D octagonal prism, bidiminished small rhombicuboctahedron 1.398966
... 3D q3x3o, variation of truncated tetrahedron, triangle-snub small rhombicuboctahedron 1.398966
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
sirco (alt.: esquobcu) 3D small rhombicuboctahedron, expanded octahedron, expanded cube, elongated square-orthobicupola 1.398966
socco 3D small cubicuboctahedron 1.398966
squacu, J4 3D square cupola 1.398966
... 3D sroh+8{6/2} (?) 1.398966
tepcus 3D tetrapod-cut-sirco 1.398966
topfu 3D two-op-fusion 1.398966
... 3D w x4o, variation of cube 1.398966
sroh 5D small rhombihexahedron 1.398966
... 3D 2doe (?) 1.401259
... 3D 3doe (?) 1.401259
... 3D 6doe (?) 1.401259
... 3D cubically-diminished dodecahedron, bi-tetrahedrally-diminished dodecahedron 1.401259
ditti 3D ditrigonal icosahedron, vertex figure of idhi 1.401259
doe 3D dodecahedron, cosmohedron, Goldberg polyhedron GP(1,0) 1.401259
teddoe 3D tetrahedrally diminished dodecahedron, vertex figure of pd{3,5,3} 1.401259
gaqrit 4D great quasirhombated tesseract 1.401594
srotehat 2D hyperbolic (small) rhombisquarehexagonal tiling 1.405256 i
starodip 4D pentagram - octagon duoprism 1.408368
oaf, K-4.58 4D octagonal antifastegium, octagon - oap wedge, {8} || gyro op 1.409438
... 3D u x6o, variation of hexagonal prism 1.414214
... 4D 2affic (?) 1.414214
... 4D 2deca (?) 1.414214
... 4D 2dittafady (?) 1.414214
afdec 4D antifrustic distetracontoctachoron 1.414214
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
dard tipady 4D diretroditetrahedronary prismatodishecatonicosachoron 1.414214
datap 4D ditetrahedronary prismatochoron, compound of 100 hiddip 1.414214
datcathi 4D ditetrahedronary coincidic trishecatonicosachoron 1.414214
dattady 4D ditetrahedronary dishecatonicosachoron 1.414214
dattathi 4D ditetrahedronary trishecatonicosachoron 1.414214
deca 4D decachoron, bitruncated pentachoron, equatorial cross-section of (vertex first) q-pent 1.414214
dittadphi 4D ditetrahedronary disprismatohecatonicosachoron 1.414214
dittafady 4D ditetrahedrofissary dishecatonicosachoron 1.414214
geedatepthi 4D great exoditetrahedrary prismatotrishecatonicosachoron 1.414214
gefirdit xethi 4D great exofissary retroditetrahedronary hexacositrishecatonicosachoron 1.414214
gefridit xethi 4D great exofissary retroinverted ditetrahedronary hexacositrishecatonicosachoron 1.414214
gidard tipady 4D great diretroditetrahedronary prismatodishecatonicosachoron 1.414214
giddatady 4D great ditetrahedronary dishecatonicosachoron 1.414214
gikviphado 4D great skewverted prismatohexadecadisoctachoron 1.414214
girfaddic 4D great retrofrustic distetracontoctachoron 1.414214
grad tathi 4D great retroditetrahedronary trishecatonicosachoron 1.414214
gridtathi 4D great retroinverted ditetrahedronary trishecatonicosachoron 1.414214
hiddip 4D hexagonal-hexagonal duoprism, Voronoi cell of lattice A2×A2 1.414214
ididdip 4D icosidodecadodecahedron prism 1.414214
kavahto 4D skewverted hexadecatrisoctachoron 1.414214
kaviphdit 4D skewverted prismatohexadecadistesseract 1.414214
mardatathi 4D medial retroditetrahedral triakishecatonicosachoron 1.414214
ostodip 4D octagon-octagram duoprism 1.414214
quadippady 4D quasidisprismatodishecatonicosachoron, Unholey Terror 1.414214
radatathi 4D retroditetrahedronary dishecatonicosachoron 1.414214
radiddip (old: radedip) 4D rhombidodecadodecahedron prism 1.414214
rafficdi 4D retrofrustic tetracontoctadisicositetrachoron 1.414214
ridatathi 4D retroinverted ditetrahedral triakishecatonicosachoron 1.414214
seedatepthi 4D small exoditetrahedrary prismatotrishecatonicosachoron 1.414214
skiviphado 4D small skewverted prismatohexadecadisoctachoron 1.414214
teppix (old: dattix) 4D tripesic hexacosachoron, compound of 60 deca 1.414214
triddap 4D triangle duoantiprism, hemiated hiddip 1.414214
haco (old: hicco) 5D hexagon cuboctahedron duoprism 1.414214
hatricu 5D hexagon-tricu duoprism, trip-first half of haco 1.414214
octatuttip (alt.: octtut tuttric) 5D oct atop tuttip, (oct,tut,tut)-trigonic 1.414214
pennatip 5D pen atop tip, pen-first cap of rin 1.414214
rabird 5D retrobirhombidodecateron 1.414214
rin 5D rectified penteract 1.414214
sibrid (old: sadrid) 5D small birhombated dodecateron, bicantellated hexateron 1.414214
sripadeca 5D srip atop deca, srip-first half of sibrid 1.414214
tin 5D triacontadipenteract 1.414214
tipadeca 5D tip atop deca, 2nd segment of rin in pen-first orientation 1.414214
brox (old: drax) 6D birectified hexeract, Gosset polytope 03,1,1 1.414214
codip 6D cuboctahedron-cuboctahedron duoprism 1.414214
nitarin 6D nit atop rin, nit-first rotunda of brox 1.414214
rixasarx 6D rectified hexateron atop small rhombated hexateron, rix-first cap of brox 1.414214
sarxasibrid 6D small rhombated hexateron atop small birhombated dodecateron, rix-first subsegment of brox 1.414214
sibpof 6D small biprismated tetradecapeton, biruncinated heptapeton 1.414214
squarit 6D square - rectified-tesseract duoprism 1.414214
tixip 6D truncated-hexateron prism 1.414214
trim (old: cacam, tram, mak) 6D trirectified pentacontitetrapeton, (centrocellated pentacontitetrapeton, pentacontitetraheptacontidipeton) 1.414214
bragabrox 7D brag atop brox, brag-first rotunda of sez 1.414214
ranq 7D rectified hecatonicosihexapentacosiheptacontihexaexon 1.414214
sabach 7D small bicellated hexadecaexon, bistericated octaexon 1.414214
saro 7D small rhombated octaexon, cantellated octaexon 1.414214
sez (old: shio) 7D hepteractihecatonicosoctaexon 1.414214
bay 8D diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 24,1 1.414214
hesapy 8D hemihepteractic pyramid, vertex pyramid of bay 1.414214
icodip 8D icositetrachoron duoprism 1.414214
laqalin 8D pentacontihexapentacosiheptacontihexaexon atop pentacontihexahecatonicosihexaexon, 21,3 atop 12,3 , laq-first cap of bay, 21,3 -first cap of 21,4 1.414214
linaranq 8D pentacontihexahecatonicosihexaexon atop rectified pentacontihexapentacosiheptacontihexaexon, laq-first subsegment of bay 1.414214
octo 8D octeract, hexadecazetton, 8D measure-polytope8), geoyott(id) 1.414214
sobteb 8D small biterated bi-enneazetton, bipentellated enneazetton 1.414214
spuho 8D small petated hemiocteract 1.414214
tark 8D trirectified diacosipentacontahexazetton 1.414214
tene 8D truncated enneazetton 1.414214
tarv 9D trirectified pentacosidodecayotton 1.414214
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
gloptin 5D great lapidoprismatotruncated penteract 1.416813
quiptin 5D quasiprismatotruncated penteract 1.416813
pentarin 6D tesseract atop rectified tesseract 1.418705
rih 3D hyperbolic rectified order 3 icosahedral honeycomb 1.427535 i
todip, K-4.59 4D triangle - octagon duoprism, octagon - op wedge 1.428440
... 3D hyperbolic x3o3x3o4*a tesselation 1.429970 i
quactix 6D quasicellitruncated hexeract 1.431870
sniccup, K-4.60 4D snub-cube prism, snub-cuboctahedron prism 1.433724
... 3D x3q3o, variation of truncated tetrahedron 1.442951
otet 5D octagon-tetrahedron duoprism, octagon duofastegium 1.442951
... 2D hyperbolic shieldotritetragonal tiling, hyperbolic tritetratrigonal tiling, cantic octagonal tiling 1.446026 i
coaescu, co || escu, K-4.62 4D cuboctahedron atop elongated square cupola 1.447009
coaop, co || op, K-4.63 4D cuboctahedron atop octagonal-prism 1.447009
coasirco, co || sirco, K-4.61 4D cuboctahedron atop small rhombicuboctahedron 1.447009
squaw, K-4.64, {8} || squap 4D antitetrawedge, octagon - square-antiprismatic wedge, square gyrobicupolaic ring, {8} || squap, {4} || gyrated squacu 1.447009
spene 8D small prismated enneazetton, runcinated enneazetton 1.452966
srene 8D small rhombated enneazetton, cantellated enneazetton 1.452966
... 2D hyperbolic omnitruncated tiling of family o3o4o5*a 1.456608 i
ohix 7D octagon - hexateron duoprism 1.457317
seside 3D small snub icosicosidodecahedron, snub disicosidodecahedron, holosnub icosahedron, hastur 1.458190
haquitco 5D hexagon quasitruncated-cuboctahedron duoprism 1.459000
trasnic 5D triangle - snub-cube duoprism 1.462497
oappip, K-4.65 4D octagonal-antiprism prism 1.463603
gixhidy 4D great hexacosihecatonicosadishecatonicosachoron 1.464888
gohihix 4D great hecatonicosihecatonicosihexacosachoron 1.464888
sritrah 3D hyperbolic (small) rhombated triangular-tiling honeycomb 1.467890 i
pettip 6D pentagon-pentagon-pentagon-triprism 1.473370
... 3D q x8o, variation of octagonal prism 1.485633
cubasirco, cube || sirco, K-4.71 4D cube atop small rhombicuboctahedron, cubical cap of small disprismatotesseractihexadecachoron 1.485633
dippit 4D disprismatotesseract 1.485633
escupe, K-4.68 4D elongated-square-cupola prism 1.485633
iquipadah 4D inverted quasiprismatodishexadecachoron 1.485633
ondip 4D octagonal spinoduoprism 1.485633
shafipto 4D small hexadecafaceted prismatotesseractioctachoron 1.485633
... 4D shafipto+32tet (?) 1.485633
sidpith 4D small disprismatotesseractihexadecachoron, runcinated tesseract, small prismated tesseract 1.485633
sircope, K-4.66 4D small-rhombicuboctahedron prism, medial (cube-first) subsegment of sidpith 1.485633
sistople (old: stodop) 4D square-octagram plus-prism, octagram diorthoprism, compound of 2 sistodip 1.485633
snappoth 4D small spinoprismatotesseractihexadecachoron 1.485633
soccope 4D small-cubicuboctahedron prism 1.485633
sodip, K-4.70 4D square - octagon duoprism 1.485633
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
stefacoth 4D small tesseractifaceted cubitesseractihexadecachoron 1.485633
steth 4D small tesseractitesseractihexadecachoron 1.485633
owoct 5D octagon octahedron duoprism 1.485633
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
dope, K-4.74 4D dodecahedron prism 1.487792
gibtadin 5D great biprismatotriacontadiadispenteract 1.488108
quiprin 5D quasiprismatorhombated penteract 1.488108
gektabcadont (old: giktabacadint) 5D great skewtrigonary biprismatocellidispenteractitriacontiditeron 1.5
hahip (old: hiddippip) 5D hexagon hexagonal-prism duoprism, hexagon-hexagon duoprismatic prism 1.5
skatbacadint 5D small skewtrigonary biprismatocellidispenteractitriacontiditeron 1.5
rinnip 6D rectified-penteract prism 1.5
enne 9D enneract, octadecayotton, 9D measure-polytope9), geoxenn(id) 1.5
rita sidpith, rit || sidpith 5D rectified-tesseract atop small-disprismated-tesseractihexadecachoron 1.502958
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
trasocco 5D triangle - small-cubicuboctahedron duoprism 1.513420
grawv hixhi 4D great retrosphenoverted hecatonicosihexacosihecatonicosachoron 1.513868
sirgaghi 4D small rhombated great grand hecatonicosachoron 1.513868
sripadecu 5D (srip,deca)-based ursateron 1.514954
tradoe 5D triangle - dodecahedron duoprism 1.515539
squasnic 5D square - snub-cube duoprism 1.518409
tetsocco 6D (tet,socco)-duoprism 1.527124
tetdoe 6D tetrahedron-dodecahedron duoprism 1.529224
soccopen 7D (socco,pen)-duoprism 1.535287
... 4D cubiswirlic heptacontidichoron, twelvefold dissected cubic polytwister, twelvefold dissected cubiter 1.538189
... 3D u3o3x, variation of cuboctahedron 1.541104
hatut (old: hittut) 5D hexagon truncatet-tetrahedron duoprism 1.541104
sesidip 4D small-snub-icosicosidodecahedron prism 1.541531
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
dish 3D hyperbolic dissquare-tiling honeycomb, hyperbolic bitruncated order-4 square tiling honeycomb 1.553774 i
... 3D hyperbolic x3o3o3x4*a tesselation 1.553774 i
... 3D hyperbolic x4o3x3x3*b tesselation 1.553774 i
bittix (old: dittox) 5D bitruncated hexateron 1.554563
sabril 6D small birhombated heptapeton, bicantellated heptapeton 1.558387
podip 4D pentagon - octagon duoprism 1.559075
sibpo 7D small biprismated octaexon, biruncinated octaexon 1.561250
ocube 5D octagon - cube duoprism 1.567516
scant 5D small cellated penteractitriacontiditeron, stericated penteract, stericated pentacross 1.567516
sidpithip 5D small-disprismatotesseractihexadecachoron prism, runcinated-tesseract prism, small-prismated-tesseract prism, central segment of scant 1.567516
sinnont 5D small penteractipenteractitriacontiditeron 1.567516
squasirco 5D square - small-rhombicuboctahedron duoprism 1.567516
squicuffip 5D squicuf prism, tes atop op 1.567516
stethip 5D small-tesseractitesseractihexadecachoron prism 1.567516
squadoe 5D square-dodecahedron duoprism 1.569562
octdoe 6D octahedron-dodecahedron duoprism 1.569562
snit 3D pyritohedron, pyritosnub tetrahedron, vertex alternated toe 1.581139
toe (alt.: gratet) 3D truncated octahedron, omnitruncated tetrahedron, great rhombitetratetrahedron, Voronoi cell of body-centered cubic (bcc) lattice 1.581139
... 4D 2thex (?) 1.581139
... 4D 2titho (?) 1.581139
octum 4D octahedron-first rotunda of truncated hexadecachoron, oct-based tutsatope, oct-based tutism 1.581139
thex 4D truncated hexadecachoron, cantic tesseract 1.581139
titho 4D truncated tesseractihemioctachoron 1.581139
hextum 5D hex-based tutsatope, hex-based tutism, hex-first rotunda of tot 1.581139
tot 5D truncated triacontiditeron, truncated pentacross 1.581139
bittixa (old: bittixalbittix) 6D bitruncated-hexateron alterprism, bitruncated-hexateron atop inverted bitruncated-hexateron 1.581139
cakix 6D celliskewed hexeract 1.581139
rackix 6D retrocelliskewed hexeract 1.581139
rax 6D rectified hexeract, rectified dodecapeton 1.581139
tag 6D truncated hexacontitetrapeton 1.581139
thax 6D truncated hemihexeract, cantic hexeract 1.581139
bersa (old: dars) 7D birectified hepteract, Gosset polytope 04,1,1 1.581139
taz 7D truncated hecatonicosoctaexon, truncated heptacross 1.581139
tek 8D truncated diacosipentacontahexazetton, truncated octacross 1.581139
tro 8D trirectified octeract, trirectified hexadecazetton 1.581139
deker 10D dekeract, icosaxennon, 10D measure-polytope10), geodak(id) 1.581139
gaquidapixhi 4D great quasidisprismatohexacosihecatonicosachoron 1.581630
sircoatoe, sirco || toe, K-4.75 4D small rhombicuboctahedron atop truncated octahedron 1.582890
grawv hidy 4D great retrosphenoverted hecatonicosadishecatonicosachoron 1.589926
sirgashi 4D small rhombated grand stellated hecatonicosachoron 1.589926
trasteth 6D (triangle,steth)-duoprism 1.593876
tradope 6D triangle-dodecahedron duoprismatic prism 1.595888
... 3D hyperbolic x3x4x3o4*a tesselation 1.599084 i
... 3D hyperbolic x3x3x3o5*a tesselation 1.601395 i
tetsteth 7D (tet,steth)-duoprism 1.606894
diquitdi 4D disicositetraquasitruncated disicositetrachoron 1.608038
suti 4D small tetrakisicositetrachoron 1.608038
thaquitpath 4D tesseractihexadecaquasitruncated prismatotesseractihexadecachoron 1.608038
... 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
gyprip 4D gyrated prip 1.612452
pittip 4D prismatotriakispentachoron 1.612452
prip 4D prismatorhombated pentachoron, runcitruncated pentachoron 1.612452
ripdip 4D rhombiprismato dispentachoron 1.612452
tutatoe, tut || toe, K-4.76 4D truncated tetrahedron atop truncated octahedron, truncated-tetrahedral cap of prismatorhombated pentachoron, tetrahedral canticupola 1.612452
open 6D octagon-pentachoron duoprism 1.614654
oike 5D octagon-icosahedron duoprism 1.616049
... 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 1.618034
... 3D id+seihid+sidhid (?) 1.618034
pero, J6 3D pentagonal rotunda, half of icosidodecahedron 1.618034
pobro, J34 3D pentagonal orthobirotunda 1.618034
pysnic 3D pyritosnub cube, pyritohedral sirco variant, hexadiminished id 1.618034
seihid 3D small icosihemidodecahedron 1.618034
sidhid 3D small dodecahemidodecahedron 1.618034
tepdid 3D tripentadiminished icosidodecahedron 1.618034
... 3D x3(-x)5f, variation of grid 1.618034
... 4D 1/10-luna of hexacosachoron 1.618034
... 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
... 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
... 4D tetracontadisdiminished ex 1.618034
... 4D 4/10-luna of hexacosachoron 1.618034
... 4D pentadiminished 2/10-luna of hexacosachoron 1.618034
arsted diddidex 4D around-symmetrical tridiminishing of (axial) duo-disdodeca-icosa-diminished hexacosachoron 1.618034
bicypdex (alt.: bicypaugap) 4D bi-cyclopentadiminished hexacosachoron, bi-cyclopentaaugmented great antiprism 1.618034
bidex 4D bi-icositetradiminished hexacosachoron 1.618034
biscex 4D bistratic vertex-first cap of hexacosachoron 1.618034
cydadex 4D cyclical decadiminishing of ex 1.618034
cythdex 4D cyclical triangularily-hexagonally diminished hexacosachoron 1.618034
... 4D mono-diminished vertex-first rotunda of hexacosachoron 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
..., doe || 6-dim-id || f-ike || doe 4D axially-pyritohedral (2,24,12,6)-diminishing of ex 1.618034
... 4D ex+fix (?) 1.618034
... 4D ex+gohi+120id (?) 1.618034
ex, pT 4D hexacosachoron, 600-cell, hydrochoron, tetraplex, polytetrahedron 1.618034
... 4D fix+gahi+120id (?) 1.618034
fix, pI 4D icosahedral hecatonicosachoron, faceted hexacosichoron, polyicosahedron 1.618034
... 4D triacontapenta-diminished hexacosachoron, fooo5ofxo xofx5oxox&#zx 1.618034
gadpy 4D great-dodecahedral pyramid, vertex cap of fix 1.618034
... 4D gahi+gohi (?) 1.618034
gahi, apD 4D grand hecatonicosachoron, aggrandized polydodecahedron 1.618034
gap 4D great antiprism, grand antiprism, pentagonal double antiprismoid (but not: great duoantiprism), bicyclical decadiminishing of ex 1.618034
gohi, gpD 4D great hecatonicosachoron, greatened polydodecahedron 1.618034
hoddated ex 4D (shallow-)hexa-octa-diminished deep-tetra-diminished hexacosachoron 1.618034
... 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
idimex 4D spid-diminished ex, icosidiminished ex 1.618034
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
ikadoe (alt.: ikap), ike || doe, K-4.78 4D icosahedron atop dodecahedron, icosahedral antiprism, dodecahedral antiprism, segment of vertex-first hexacosachoron 1.618034
... 4D (1,0,8,12,0)-diminished vertex-first-rotunda of ex, (subsymmetrical) icosiena -diminished vertex-first rotunda of hexacosachoron 1.618034
... 4D (1,0,4,12,0)-diminished vertex-first-rotunda of ex, heptadeca-diminished vertex-first rotunda of hexacosachoron 1.618034
ikepy, K-4.84 4D icosahedral pyramid, vertex cap of hexacosachoron 1.618034
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
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
mibdipy, K-4.87 4D metabidiminished-icosahedral pyramid 1.618034
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
pappy 4D pentagon-antiprismatical pyramid 1.618034
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
... 4D (0,0,0,12,0)-diminished vertex-first-rotunda of ex, dodeca-diminished vertex-first rotunda of hexacosachoron 1.618034
rapsady 4D retroantiprismatosnub dishecatonicosachoron 1.618034
... 4D vertex-first rotunda of hexacosachoron 1.618034
sadi   (alt.: idex) 4D snub icositetrachoron, snub disicositetrachoron, semistruncated icositetrachoron, icositetradiminished hexacosachoron, snub rhombatohexadecachoron 1.618034
sisp 4D small swirlprism 1.618034
sody 4D small deckishecatonicosachoron, compound of 10 ex in hi army, compound of 2 spohi 1.618034
spohi 4D small pentishecatonicosachoron, chiral compound of 5 ex in hi army 1.618034
spysp 4D small pyramidic swirlprism 1.618034
teddi adoe, teddi || doe, K-4.83 4D tridiminished-icosahedron atop dodecahedron, triminished segment of vertex-first hexacosachoron 1.618034
teddipy, K-4.88 4D tridiminished-icosahedral pyramid 1.618034
tridex 4D tri-icositetradiminished hexacosachoron, tetragonal-antiwedge heptacontadichoron 1.618034
twau doaid 4D deep mono-diminished rotunda of ex, 12-augmented doe || id 1.618034
sirgashia 5D small rhombated grand stellated hecatonicosachoron alterprism 1.618034
deca aprip 5D deca atop prip 1.620185
kafandoh 5D spikifacetospinodishexadecateron 1.620185
rapadeca 5D rap atop deca, rap-first cap of sirhin 1.620185
ritag thex 5D rit atop gyrated thex, rit-first cap of sirhin 1.620185
sirhin 5D small rhombated hemipenteract, cantellated demipenteract, runcic penteract 1.620185
teta tuttip (alt.: tettut tuttric) 5D tet atop tuttip, tet-first cap of sirhin, (tet,tut,tut)-trigonic 1.620185
thexa (old: thexag thex), thex || gyro thex 5D thex alterprism, thex atop gyro thex, equatorial segment of sirhin 1.620185
tutcupa toe (alt.: tutaltut toetric) 5D tuta atop toe, (tut,inv tut,toe)-trigonic 1.620185
naquiptant 5D penteractiquasiprismatotruncated penteractitriacontaditeron 1.621320
noqraptant 5D penteractiquasiretroprismatotruncated penteractitriacontaditeron 1.621320
giphiddix 4D great prismatohecatonicosadishexacosachoron 1.624598
gixipady 4D great hexacosiprismatodishecatonicosachoron 1.624598
hedip 4D heptagonal-heptagonal duoprism 1.629715
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
tipalprip 5D tip atop inverted prip 1.632993
tuttipa toe (alt.: tuttut totric) 5D tuttip atop toe, (tut,tut,toe)-trigonic 1.632993
hejak 6D demified icosiheptaheptacontidipeton 1.632993
hinarin 6D demipenteract atop rectified penteract, demipenteract-first cap of demified icosiheptaheptacontidipeton 1.632993
thexgyt (alt.: pex tedjak) 6D truncated-hexadecachoral gyrotrigonism, partially expanded tridiminished icosiheptaheptacontidipeton, partially expanded tridiminished 21,2 1.632993
sripal pripu 5D (srip,inv.prip)-based ursateron 1.637956
pedoe 5D pentagon-dodecahedron duoprism 1.639247
hodip 4D hexagon - octagon duoprism 1.645329
oco (old: occo) 5D octagon cuboctahedron duoprism 1.645329
cubesirco 6D cube-small-rhombicuboctahedron duoprism 1.645329
sinnontip 6D sinnont prism 1.645329
soxaxog 6D small hexeractihexeractihexacontitetrapeton 1.645329
stoxog 6D small terated hexeractihexacontatetrapeton, pentellated hexeract, pentellated hexacross 1.645329
cubedoe 6D cube-dodecahedron duoprism 1.647278
batal 6D bitruncated heptapeton 1.647509
tocal 6D teracellated heptapeton, pentitruncated heptapeton 1.647509
... 3D q3o4x, variation of small rhombicuboctahedron, hull of tisso 1.658312
quitdid 3D quasitruncated dodecadodecahedron, stellatruncated dodecadodecahedron 1.658312
tope, K-4.89 4D truncated-octahedron prism 1.658312
card (old: scard, shard) 5D (small) cellirhombated dodecateron, small hedratorhombated dodecateron, stericantellated hexateron 1.658312
pripa (old: pripalprip) 5D prip alterprism, prip atop inverted prip, medial segment of card 1.658312
rocrax (old: sircrax) 5D (small) retrocellirhombated hexateron 1.658312
sripaprip 5D srip atop prip, srip-first cap of card 1.658312
thexip 5D truncated-hexadecachoron prism 1.658312
triddippa hiddip 5D triddip atop hiddip, triddip-first cap of card 1.658312
cappixa (old: cappixalcappix) 6D cappix alterprism, cappix atop alternate cappix 1.658312
pabex hax 6D partially biexpanded hemihexeract 1.658312
sophax 6D small prismated hemihexeract, runcinated demihexeract, steric hexeract 1.658312
tutdip 6D truncated-tetrahedron duoprism 1.658312
ratkus 7D retroteriskewed hepteract 1.658312
sabro 7D small birhombated octaexon, bicantellated octaexon 1.658312
stanq 7D small terated hecatonicosihexapentacosiheptacontihexaexon 1.658312
takus 7D teriskewed hepteract 1.658312
graggix 4D great rhombated grand hexacosachoron 1.658546
qragishi (old: qraghi) 4D quasirhombated grand stellated hecatonicosachoron 1.662508
wavathi 4D sphenoverted triakishecatonicosachoron 1.662508
trasinnont 7D (triangle,sinnont)-duoprism 1.670461
stotoe 5D octagram truncated-octahedron duoprism, star-octagon truncated-octahedron duoprism 1.671195
gaqrin 5D great quasirhombated penteract 1.673396
dap, 10-ap 3D decagonal antiprism 1.674505
gaqrigaghi 4D great quasirhombated great grand hecatonicosachoron 1.679184
tratoe (alt.: totoe totric) 5D triangle truncated-octahedron duoprism, (toe,toe,toe)-trigonic 1.683251
quoptax 6D quasiprismatotruncated hexeract 1.686163
prippip 5D prismatorhombated-pentachoron prism 1.688194
tuttipa tope 5D tuttip atop tope, tutatoe-prism, tuttip-first cap of prippip 1.688194
topal (old: stopal) 6D teriprismated heptapeton, penticantellated heptapeton 1.690309
dip (old: dep) 3D decagonal prism 1.693527
rassid 3D rhombisnub dodecahedron, compound of 6 dip 1.693527
iddip, K-4.90 4D icosidodecahedron prism 1.693527
perope, K-4.92 4D pentagonal-rotunda prism 1.693527
exip 5D hexacosachoron prism 1.693527
gappip 5D great-antiprism prism 1.693527
gohip 5D great hexacosachoron prism 1.693527
sadip 5D snub-icositetrachoron prism, snub-disicositetrachoron prism, semistruncated-icositetrachoron prism 1.693527
ikedoe 6D icosahedron-dodecahedron duoprism 1.693527
gaquidipdy 4D grand quasidisprismatodishecatonicosachoron 1.695697
stardedip 4D pentagram - decagon duoprism 1.701302
... 3D v3o5f, variation of srid, hull of tiggy 1.704262
srocth 3D hyperbolic small rhombated order 4 octahedral honeycomb 1.707107 i
bittoc 7D bitruncated octaexon 1.713914
tradedip, K-4.94 4D triangle - decagon duoprism, decagon - dip wedge 1.717954
trid 5D triangle - icosidodecahedron duoprism 1.717954
trex 6D triangle - hexacosachoron duoprism 1.717954
hasirco (old: hissirco) 5D hexagon small-rhombicuboctahedron duoprism 1.719624
sososaz 7D small hepteractihepteractihecatonicosoctaexon 1.719624
soxaxogip 7D soxaxog prism 1.719624
suposaz 7D small petated hepteractihecatonicosoctaexon, hexicated hepteract 1.719624
sidditdid 3D small ditrigonary dodekicosidodecahedron, small dodekified icosidodecahedron 1.721489
... 3D siddy+12{10/4} (?) 1.721489
... 3D siddy+20{6/2} (?) 1.721489
siid 3D small icosicosidodecahedron 1.721489
hadoe 5D hexagon - dodecahedron duoprism 1.721489
siddy 5D small dodekicosahedron 1.721489
codoe 6D cuboctahedron-dodecahedron duoprism 1.721489
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
... 3D u3x3o, variation of truncated tetrahedron 1.732051
... 3D x3o4q, variation of small rhombicuboctahedron 1.732051
... 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 2sidditdy (?) 1.732051
... 4D 2sidditpix+2dithix (?) 1.732051
bamic (old: apic) 4D biambotetracontoctachoron, antiprismatotetracontoctachoron, triangle based biambotetracontoctachoron 1.732051
coatoe, co || toe, K-4.95 4D cuboctahedron atop truncated octahedron, cuboctahedral cap of rectified icosatetrachoron 1.732051
cytid rico 4D cyclotridiminished rectified-icositetrachoron, metatridiminished rectified-icositetrachoron 1.732051
dirico 4D diminished rectified icosatetrachoron 1.732051
distadedip 4D decagon-decagram duoprism 1.732051
dithix 4D ditrigonary hecatonicosihexacosichoron 1.732051
efdit xithi 4D exofissary ditrigonal hexacositrishecatonicosachoron 1.732051
frico 4D facetorectified icositetrachoron 1.732051
gaddit thix 4D grand ditrigonal trishecatonicosihexacosachoron 1.732051
gefdit dixdy 4D great exofissary ditrigonal dihexacosadihecatonicosachoron 1.732051
giddit thix 4D great ditrigonal trishecatonicosihexacosachoron 1.732051
gidditdy 4D great ditrigonary dishecatonicosachoron 1.732051
gidditpix 4D great ditrigonary prismatohexacosichoron 1.732051
gidthidy hi 4D great ditrigonal hecatonicosadishecatonicosihecatonicosachoron 1.732051
gotdatixhi 4D great toroidoditrigonary hexacosihecatonicosachoron 1.732051
gotditpix 4D great toroidoditrigonary prismatohexacosichoron 1.732051
ini 4D icositetrintercepted icositetrachoron 1.732051
middit thix 4D medial ditrigonal trishecatonicosihexacosachoron 1.732051
pabdirico 4D parabidiminished rectified icosatetrachoron, bistratic co-first central segment of rico, axis-orthogonal partial Stott expanded rit 1.732051
quitdiddip 4D quasitruncated-dodecadodecahedron prism 1.732051
rawvhitto 4D retrosphenoverted hexadecatesseractioctachoron 1.732051
respid 4D rectified small prismated decachoron 1.732051
rico 4D rectified icosatetrachoron, cantellated hexadecachoron, hexadecachoron-derived Gévay polychoron 1.732051
ridtidohi 4D rectified ditrigonary dishecatonicosachoron 1.732051
riggidtixhi 4D rectified great ditrigonary hexacosihecatonicosachoron 1.732051
rissidtixhi 4D rectified small ditrigonary hexacosihecatonicosachoron 1.732051
sefdit dixdy 4D small exofissary ditrigonal dihexacosadihecatonicosachoron 1.732051
siddit thix 4D small ditrigonal trishecatonicosihexacosachoron 1.732051
sidditdy 4D small ditrigonary dishecatonicosachoron 1.732051
sidditpix 4D small ditrigonary prismatohexacosichoron 1.732051
sidthidy hi 4D small ditrigonal hecatonicosadishecatonicosihecatonicosachoron 1.732051
spidrico 4D swirlprismatodiminished rectified icositetrachoron, 24-diminished rectified icositetrachoron 1.732051
stodatixhi 4D small toroidoditrigonary hexacosihecatonicosachoron 1.732051
stoditpix 4D small toroidoditrigonary prismatohexacosichoron 1.732051
todithix 4D toroidoditrigonary hecatonicosihexacosichoron 1.732051
todtixhi 4D toroidal ditrigonal hexacosihecatonicosachoron 1.732051
... 5D 2howoh (?) 1.732051
cotut totric 5D (co,tut,toe)-trigonic 1.732051
howoh 5D hexadecasphenohexadecateron, cantellated hexadecahemidecateron 1.732051
icathex 5D ico atop thex, ico-first segment of sart 1.732051
sart 5D small rhombated triacontiditeron, cantellated pentacross 1.732051
squatoe (old: squato) 5D square - truncated-octahedron duoprism 1.732051
sripalprip 5D srip atop inverted prip, srip-first cap of sart 1.732051
trashiddip 5D triangle atop shiddip 1.732051
cardip 6D cellirhombated-dodecateron prism 1.732051
dottasibrid 6D dot atop sibrid, dot-first cap of ram 1.732051
fe 6D tetradecapeton, tritruncated heptapeton, equatorial cross-section of (vertex first) q-hept 1.732051
hittip 6D hexagon-hexagon-hexagon-triprism 1.732051
nitasirhin 6D nit atop sirhin, nit-first cap of ram 1.732051
ram 6D rectified pentacontitetrapeton, Gosset polypeton 02,2,1, Voronoi cell of lattice E6* 1.732051
sibridacard 6D sibrid atop card, first subsegment of dot-first ram 1.732051
sirhinasart 6D sirhin atop sart, nit-first subsegment of ram 1.732051
srog 6D small rhombihexacontitetrapeton, cantellated hexacross 1.732051
broxa sophax 7D brox atop sophax, hax-first subsegment of rolaq 1.732051
haxabrox 7D hax atop brox, hax-first cap of rolaq 1.732051
puph 7D petaprismated hexadecaexon 1.732051
rasa (old: ras) 7D rectified hepteract 1.732051
rojaka hejak 7D rojak atop hejak, rojak-first cap of rolaq 1.732051
rolaq 7D rectified pentacontihexapentacosiheptacontihexaexon 1.732051
sarz 7D small rhombated hecatonicosoctaexon, cantellated heptacross 1.732051
stiroh 7D small trirhombihexadecaexon, tricantellated octaexon 1.732051
bro 8D birectified octeract, birectified hexadecazetton, Gosset polytopes 05,1,1 1.732051
puko 8D petiskewed octeract 1.732051
repuko 8D retropetiskewed octeract 1.732051
riffy 8D rectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t1(41,2) 1.732051
satpeb 8D small triprismated bi-enneazetton, triruncinated enneazetton 1.732051
sotho 8D small terated hemiocteract, hexic octeract 1.732051
srek 8D small rhombated diacosipentacontahexazetton, cantellated octacross 1.732051
rihexah 3D hyperbolic rectified (order 3) hexagonal-tiling honeycomb 1.732051 i
tipech 3D hyperbolic truncated order 5 cubic tesselation 1.734413 i
icou 5D icositetrachoral-based ursateron ofx3xoo4ooo3ooo&#xt, ico-based ursulate 1.738546
..., rico || sadi 5D rico atop sadi 1.738546
heat 2D hyperbolic order 3 heptagonal tiling 1.742610 i
dappip, K-4.96 4D decagonal-antiprism prism 1.747560
otut 5D octagon - truncated-tetrahedron duoprism 1.755593
siida (alt.: siidcup) 4D small icosicosidodecahedral alterprism, small icosicosidodecahedral cupoliprism, closer siid atop siid 1.765796
squadedip, K-4.97 4D square - decagon duoprism 1.765796
squid 5D square-icosidodecahedron duoprism 1.765796
octid 6D octahedron-icosidodecahedron duoprism 1.765796
squex 6D square-hexacosachoron duoprism 1.765796
... 3D ho oh&#q, narrower variant of digonal antiprism 1.767767
sadixady 4D small dishexacosadishecatonicosachoron 1.773668
sidthixhi 4D small ditrigonary hecatonicosihexacosihecatonicosachoron 1.773668
... 3D 2tic (?) 1.778824
tar (old: harie) 3D truncated rhombihedron, hyperhombicosicosahedron, compound of 5 tic 1.778824
tic 3D truncated cube, truncated hexahedron 1.778824
tutic 3D blend of 2 truncated cubes 1.778824
... 3D w x8o, variation of octagonal prism, hull of 8/3-prism 1.778824
ricoa (old: ricoalrico), rico || gyro rico 5D rectified icositetrachoron alterprism, rectified icositetrachoron atop gyrated rectified icositetrachoron 1.778824
toatic, toe || tic, K-4.98 4D truncated octahedron atop truncated cube 1.785406
tridep 6D triangle-icosidodecahedron duoprismatic prism 1.789237
... 3D f3o4x, variation of small rhombicuboctahedron 1.789732
thatoth 4D tesseractihexadecatruncated tesseractihexadecachoron 1.790840
saxoke 8D small exiocteracti-diacosipentacontahexazetton, heptellated octeract 1.790840
sidditdiddip 4D small-ditrigonary-dodekicosidodecahedron prism 1.792631
siidip 4D small-icosicosidodecahedron prism 1.792631
srotepet 2D hyperbolic rhombisquarepentagonal tiling 1.794231 i
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
copeatope 5D cope atop tope, coatoe-prism 1.802776
danbitot 5D dispenteractibitruncated triacontaditeron 1.802776
ricope 5D rectified-icositetrachoron prism 1.802776
sirco aticu 4D expanded axially-octahedral ursachoron, (sirco,tic)-based ursulate 1.806144
shipady 4D small hecatonicosiprismatodishecatonicosachoron 1.814331
sid thipady 4D small ditrigonary hecatonicosiprismatodishecatonicosachoron 1.814331
... 3D hyperbolic x3x3o3x5*a tesselation 1.816256 i
trarico 6D triangle - rectified-icositetrachoron duoprism 1.825742
padedip 4D pentagon - decagon duoprism 1.828016
pid 5D pentagon - icosidodecahedron duoprism 1.828016
cubid 6D cube-icosidodecahedron duoprism 1.835220
... 3D x3u3o, variation of truncated tetrahedron 1.837117
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
... 3D octagonal Leonardo style "polyhedron of renaissance", vertex figure of lamina-trunc(o8o4xb3x) 1.847759
... 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
bipgy srit 4D bipara(bi)gyrated small rhombitesseract, pseudo cantellated tesseract 1.847759
cyte gysrit 4D cyclotetragyrated small rhombitesseract 1.847759
cyted spic 4D cyclotetradiminished small prismatotetracontoctachoron 1.847759
cyted srit 4D cyclotetradiminished small rhombitesseract, cyclotetraugmented octagonal duoprism 1.847759
dapabdi spic 4D deep parabidiminished small prismatotetracontoctachoron, hexa-gyro-augmented truncated-cube prism 1.847759
garpit 4D grand rhombated dishexadecachoron 1.847759
inpac 4D icositetraintercepted prismatotetracontaoctachoron 1.847759
... 4D inpac+72{4} (?) 1.847759
octasirco, oct || sirco, K-4.107 4D octahedron atop small rhombicuboctahedron, octahedral cap of small prismatotetracontoctachoron 1.847759
odip 4D octagon-octagon duoprism 1.847759
opatic, op || tic, K-4.106 4D octagonal prism atop truncated cube 1.847759
pinpith 4D prismatointercepted prismatotesseractihexadecachoron 1.847759
... 4D pinpith+48{4} 1.847759
rawvatoth 4D retrosphenoverted tesseractitesseractihexadacachoron 1.847759
siddic 4D small distetracontoctachoron 1.847759
sirc 4D small retrotetracontoctachoron 1.847759
sircoatic, sirco || tic, K-4.100 4D small rhombicuboctahedron atop truncated cube, small-rhombicuboctahedral cap of small rhombated tesseract 1.847759
spic 4D small prismatotetracontoctachoron, runcinated icositetrachoron, expanded icositetrachoron 1.847759
spript 4D small pseudorhombated prismatotesseract 1.847759
... 4D spript+16 2thah (?) 1.847759
squippia squacu, K-4.109 4D square pyramid atop square cupola 1.847759
squipuf, K-4.105 4D square pucofastegium, square - octagon-prismatic wedge, square magnabicupolaic ring, {4} || op, {8} || squacu, square-cap of srit 1.847759
srit 4D small rhombated tesseract, cantellated tesseract 1.847759
ticcup, K-4.99 4D truncated-cube prism 1.847759
ica sidpith, ico || sidpith 5D icositetrachoron atop small disprismatotesseractihexadecachoron 1.847759
ricasrit, rico || srit 5D rectified-icositetrachoron atop small-rhombated-tesseract 1.847759
ricoaspic 5D rectified icositetrachoron atop small prismated icositetrachoron 1.847759
pattix 5D prismatotruncated hexateron, runcitruncated hexateron 1.848423
pripalgrip 5D prip atop alternate grip 1.848423
tutatope 5D tut atop tope, tut-first cap of pattix 1.848423
noqrant 5D penteractiquasirhombated penteractitriacontaditeron 1.849749
catal 6D cellitruncated heptapeton, steritruncated heptapeton 1.851640
tattoc 7D tritruncated octaexon 1.854050
tratic 5D triangle truncated-cube duoprism 1.870173
copatoe (alt.: coco totric) 5D cope atop toe, (co,co,toe)-trigonic 1.870829
hatoe (old: hittoe) 5D hexagon truncated-octahedron duoprism 1.870829
pripagrip 5D prip atop grip 1.870829
ritarico 5D rectified-tesseract atop rectified-icositetrachoron, rectified-tesseract-first segment of small-prismated-triacontiditeron 1.870829
spat 5D small prismated triacontiditeron, runcinated pentacross 1.870829
spidaprip 5D spid atop prip, spid-first monostratic cap of spat 1.870829
bicotoe 6D bi - (cuboctahedron, truncated octahedron)-duoprism 1.870829
cotoe 6D cuboctahedron - truncated-octahedron duoprism 1.870829
spog 6D small prismatohexacontitetrapeton, runcinated hexacross 1.870829
squarico 6D square - rectified-icositetrachoron duoprism 1.870829
spaz 7D small prismated hecatonicosoctaexon, runcinated heptacross 1.870829
barn 9D birectified enneract, birectified octadecayotton, Gosset polytope 06,1,1 1.870829
gripa (old: gripalgrip) 9D grip alterprism, grip atop inverted grip, medial spid-first segment of spat 1.870829
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
tigid 3D truncated great dodecahedron 1.876844
ikid 6D icosahedron-icosidodecahedron duoprism 1.876844
paqrigafix (old: paquerfix) 4D prismatoquasirhombated great facetted hexacosachoron 1.878261
sipthi 4D small prismatotriakishecatonicosachoron 1.878261
giphihix 4D great prismatohecatonicosahecatonicosahexacosachoron 1.893038
pirgaghi 4D prismatorhombated great grand hecatonicosachoron 1.893038
... 4D 2giprapivady (?) 1.902113
... 4D 2papvixhi (?) 1.902113
giprapivady 4D great pentagonal retroprismatoverted dishecatonicosachoron 1.902113
hadedip 4D hexagon - decagon duoprism 1.902113
mriphi 4D medial retropental hecatonicosachoron 1.902113
papvixhi 4D pentagonal prismatoverted hexacosahecatonicosachoron 1.902113
raghi 4D rectified grand hecatonicosachoron 1.902113
righi 4D rectified great hecatonicosachoron 1.902113
hid 5D hexagon icosidodecahedron duoprism 1.902113
coid 6D cuboctahedron-icosidodecahedron duoprism 1.902113
raptum 5D rap-first bistratic cap of thin, rap-based tutsatope, rap-based tutism 1.903943
thin 5D truncated hemipenteract, cantic penteract 1.903943
gaqrox 6D great quasirhombihexeract 1.906840
grippip 5D great-rhombated-pentachoron prism 1.910497
osirco 5D octagon small-rhombicuboctahedron duoprism 1.914214
sirpin 5D small retroprismated penteract 1.914214
span 5D small prismated penteract, runcinated penteract 1.914214
spiccup 5D small-prismatotetracontoctachoron prism, runcinated-icositetrachoron prism 1.914214
squatic 5D square - truncated-cube duoprism 1.914214
srittip 5D small-rhombated-tesseract prism 1.914214
deca agrip 5D deca atop grip, deca-first cap of pirx 1.914854
pirx 5D prismatorhombated hexateron, runcicantellated hexateron 1.914854
rapirx 5D retroprismatorhombated hexateron 1.914854
shopjak 6D small demiprismated icosiheptaheptacontidipeton 1.914854
odoe 5D octagon - dodecahedron duoprism 1.915889
righia 5D rectified great hecatonicosachoron alterprism 1.917564
cral (old: scral) 6D cellirhombated heptapeton, stericantellated heptapeton 1.927248
pritrah 3D hyperbolic prismatorhombated triangular-tiling honeycomb 1.931852 i
hatope 6D hexagon - truncated-octahedron duoprismatic prism 1.936492
sirhax 6D small rhombated hemihexeract, cantellated demihexeract, runcic hexeract 1.936492
branq (old: dranq) 7D birectified hecatonicosihexapentacosiheptacontihexaexon 1.936492
tazat 2D hyperbolic truncated order 3 horocyclic tiling, hyperbolic truncated order 3 apeirogonal tiling 1.936492 i
gaquidpoth 4D great quasidisprismatotesseractihexadecachoron 1.938391
gipti 4D great prismatotriakisicositetrachoron 1.938391
paqri 4D prismatoquasirhombated icositetrachoron 1.938391
tigiddip 4D truncated-great-dodecahedron prism 1.942303
gircaptint (old: grecaptint) 5D great retrocelliprismatotruncated penteractitriacontaditeron 1.949424
quicpatint 5D quasicelliprismatotruncated penteractitriacontiditeron 1.949424
copal 6D celliprismated heptapeton, steriruncinated heptapeton 1.963961
... 3D w3x3o, variation of truncated tetrahedron 1.973010
redscox (alt.: trisoo) 6D hecatonenenecontadia-diminished small cellihexeract, partially triexpanded xedrag, tri - (4,8,8)-trioprism 1.978437
scox 6D small cellihexeract, stericated hexeract 1.978437
dodoe 6D dodecahedron-dodecahedron duoprism (or simply: dodecahedral duoprism) 1.981679
..., ofx3xoo4ooo&#xt || o3o4x 5D cube atop (oct,co)-ursachoron, (oct,co)-ursachoron based wedge 1.994779
twip 3D dodecagonal prism 1.995508
idtid 3D icosidodecatruncated icosidodecahedron, icositruncated dodecadodecahedron 2
badhidy (old: buthi) 4D blendic dishecatonicosa-dishecatonicosachoron, compound of tigaghi and quit sishi 2
badohi 4D blendic dishecatonicosachoron 2
bithi 4D blendic trishecatonicosachoron 2
ebdah hithi 4D exoblendic dishemihecatonicostrishecatonicosachoron 2
ebuthi 4D exotic blendic tetrishecatonicosachoron 2
gabbadipady 4D great blendic disprismatodishecatonicosachoron 2
gabbathi 4D great blendic trishecatonicosachoron 2
gabippady (old: gabbippady) 4D great blendic prismatodishecatonicosachoron 2
ganbathi 4D great spinoblendic trishecatonicosachoron 2
ganbippady 4D great spinoblendic prismatodishecatonicosachoron 2
gaqrigohi 4D great quasirhombated great hecatonicosachoron 2
giqragashi 4D great quasirhombated grand stellated hecatonicosachoron 2
iquatoc 4D icositetraquasitruncated tetracontoctachoron 2
quit sishi 4D quasitruncated small stellated hecatonicosachoron 2
sabbadipady 4D small blendic disprismatodishecatonicosachoron 2
sabbathi 4D small blendic trishecatonicosachoron 2
sabippady (old: sabbippady) 4D small blendic prismatodishecatonicosachoron 2
sanbathi 4D small spinoblendic trishecatonicosachoron 2
sanbippady 4D small spinoblendic prismatodishecatonicosachoron 2
siddapady 4D small disprismatodishecatonicosachoron 2
tahi 4D triakishecatonicosachoron 2
tigaghi 4D truncated great grand hecatonicosachoron 2
garx 5D great rhombated hexateron, cantitruncated hexateron 2
patal 6D prismatotruncated heptapeton, runcitruncated heptapeton 2
scag 6D small cellihexacontitetrapeton, stericated hexacross 2
tojak 6D truncated icosiheptaheptacontidipeton 2
shanq 7D small demified hecatonicosihexapentacosiheptacontihexaexon 2
be 8D octadecazetton, enneaenneazetton, bi-enneazetton, quadritruncated enneazetton, equatorial cross-section of (vertex first) q-enne 2
bif 8D diacositetracont-dischiliahectohexaconta-zetton, Gosset polyzetton 14,2 2
ren 9D rectified enneract, rectified octadecayotton 2
brade 10D birectified dekeract, birectified icosaxennon, Gosset polytope 07,1,1 2
gaquidpothip 5D great-quasidisprismatotesseractihexadecachoric prism, great-quasiprismated-tesseract prism 2.001839
gibcotdin 5D great biprismatocellitriacontadiadispenteract 2.001839
quicgrat (old: cogqrit) 5D quasicelligreat rhombated triacontiditeron, (celligreat quasirhombated triacontiditeron) 2.001839
sadinnert 5D small dispenteractirhombated triacontaditeron 2.010695
thet 2D hyperbolic triheptagonal tiling 2.012192 i
gik vadixady 4D great skewverted dishexacosidishecatonicosachoron 2.013884
gik vixathi 4D great skewverted hexacositriakishecatonicosachoro 2.013884
gikkiv datapixady 4D great skewverted ditrigonary prismatohexacosadishecatonicosachoron 2.013884
titwadip 4D triangle - dodecagon duoprism, dodecagon - twip wedge 2.016280
tisquah 3D hyperbolic trancated square-tiling honeycomb 2.030104 i
grawvixady 4D great retrosphenoverted hexacosadishecatonicosachoron 2.036148
gwav ditathi 4D great sphenoverted ditrigonary triakishecatonicosachoron 2.036148
... 3D u3o4x, variation of small rhombicuboctahedron 2.040640
hatic (old: hittic) 5D hexagon truncated-cube duoprism 2.040640
otoe (old: otto) 5D octagon truncated-octahedron duoprism 2.051123
sripech 3D hyperbolic rhombated order 5 cubic tesselation, hyperbolic cantellated order 5 cubic tesselation 2.053119 i
sitwadip 4D square - dodecagon duoprism 2.057195
idtiddip 4D icosidodecatruncated-icosidodecahedron prism, icositruncated-dodecadodecahedron prism 2.061553
ditrah 3D hyperbolic distriangular-tiling honeycomb 2.075910 i
odedip 4D octagon-decagon duoprism 2.079697
oid 5D octagon-icosidodecahedron duoprism 2.079697
tih 3D hyperbolic truncated order 3 icosahedral honeycomb 2.082108 i
... 3D hyperbolic x3x3x3o4*a tesselation 2.085865 i
... 3D hyperbolic x4x4o *b3x tesselation, hyperbolic runcicantic o3o4o4x tesselation 2.090770 i
... 3D x3x3u, variation of truncated octahedron 2.091650
grawv ditathi 4D great retrosphenoverted ditrigonary triakishecatonicosachoron 2.093315
swavathi 4D small sphenoverted triakishecatonicosachoron 2.093315
srotoct (old: sirtoct) 2D hyperbolic (small) rhombitrioctagonal tiling 2.096343 i
gril 6D great rhombated heptapeton, cantitruncated heptapeton 2.104417
pril 6D prismatorhombated heptapeton, runcicantellated heptapeton 2.104417
topesquat 2D truncated order 5 square tiling, hyperbolic order 5 truncated square tiling 2.113125 i
twacube 5D dodecagon - cube duoprism 2.117085
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
amtoe 3D ambiated truncated octahedron 2.121320
... 3D o3x4q, variation of truncated cube, hull of sno 2.121320
... 4D 2tah (?) 2.121320
tah 4D tesseractihexadecachoron, bitruncated tesseract, bitruncated hexadecachoron, runcicantic tesseract 2.121320
bittit 5D bitruncated triacontiditeron, Voronoi cell of lattice D5* 2.121320
botag 6D bitruncated hexacontitetrapeton, bitruncated hexacross 2.121320
rade 10D rectified dekeract, rectified icosaxennon 2.121320
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
gidhiquit paddy 4D great dishecatonicosaquasitruncated prismatodishecatonicosachoron 2.140933
gorcrin 5D great retrocelligreat rhombated penteract 2.143163
quacgarn 5D quasicelligreatorhombated penteract 2.143163
otbott 4D octagonnally tetrablended truncated tesseract 2.149726
tat 4D truncated tesseract 2.149726
pirhin 5D prismatorhombated hemipenteract, runcicantellated demipenteract, steriruncic penteract 2.150581
taha (old: tahagtah), tah || gyro tah 5D tah alterprism, tah atop gyro tah 2.150581
tipagrip 5D tip atop grip 2.150581
snid 3D snub dodecahedron, snub icosidodecahedron 2.155837
nottant 5D penteractitruncated penteractitriacontaditeron 2.159679
harjak (old: trojak) 6D demirectified icosiheptaheptacontidipeton (trirectified icosiheptaheptacontidipeton) 2.160247
rinathin 6D rectified penteract atop truncated demipenteract, rectified demipenteract-first cap of demirectified icosiheptaheptacontidipeton 2.160247
tahgyt 6D tesseractihexadecachoric gyrotrigonism 2.160247
hixquathix 4D hecatonicosihexacosaquasitruncated hecatonicosihexacosachoron 2.174739
hitwadip 4D hexagon - dodecagon duoprism 2.175328
... 3D x3f4o, variation of truncated octahedron, hull of siddo, hull of passipsido 2.176251
... 3D o3q4x, variation of truncated cube 2.179449
gibrid (old: gadrid) 5D great birhombated dodecateron, bicantitruncated hexateron 2.179449
tahp 5D tesseractihexadecachoron prism, bitruncated-tesseract prism, bitruncated-hexadecachoron prism 2.179449
cophix 6D small celliprismated hemihexeract, steriruncinated demihexeract, pentisteric hexeract 2.179449
shilq 7D small demified pentacontihexapentacosiheptacontihexaexon 2.179449
tanq 7D truncated hecatonicosihexapentacosiheptacontihexaexon 2.179449
... 3D hyperbolic x3x4x3x4*a tesselation 2.197368 i
tratah 6D triangle - tesseractihexadecachoron duoprism 2.198484
bapril 6D biprismatorhombated heptapeton, biruncitruncated heptapeton 2.203893
otic (old: ottic) 5D octagon - truncated-cube duoprism 2.207107
rawn (old: rawvanant) 5D retrosphenary penteract 2.207107
sirn 5D small rhombated penteract, cantellated penteract 2.207107
tattip 5D truncated-tesseract prism 2.207107
sirhesa 7D small rhombated hemihepteract, cantellated demihepteract 2.207940
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
trasnid 5D triangle - snub-dodecahedron duoprism 2.231808
... 3D 2srid (?) 2.232951
bagydrid, J79 3D bigyrate diminished rhombicosidodecahedron 2.232951
dirid, J76 3D diminished rhombicosidodecahedron 2.232951
gybadrid, J82 3D gyrate(d) bidiminished rhombicosidodecahedron 2.232951
gyrid, J72 3D gyrated rhombicosidodecahedron 2.232951
mabgyrid, J74 3D metabigyrated rhombicosidodecahedron 2.232951
mabidrid, J81 3D metabidiminished rhombicosidodecahedron 2.232951
magydrid, J78 3D metagyrate diminished rhombicosidodecahedron 2.232951
pabgyrid, J73 3D parabigyrated rhombicosidodecahedron 2.232951
pabidrid, J80 3D parabidiminished rhombicosidodecahedron 2.232951
pagydrid, J77 3D paragyrate diminished rhombicosidodecahedron 2.232951
pecu, J5 3D pentagonal cupola 2.232951
saddid 3D small dodekicosidodecahedron 2.232951
... 3D sird+12{10/2} (?) 2.232951
... 3D sird+20{6/2} (?) 2.232951
srid 3D small rhombicosidodecahedron, expanded icosahedron, expanded dodecahedron 2.232951
tagyrid, J74 3D trigyrated rhombicosidodecahedron 2.232951
tedrid, J83 3D tridiminished rhombicosidodecahedron, magnaursahedron 2.232951
sird 5D small rhombidodecahedron 2.232951
... 3D u3x4o, variation of truncated octahedron 2.236068
... 4D 2affidhi (?) 2.236068
affidhi 4D antifrustary dishecatonicosachoron 2.236068
affixthi 4D antifrustic hexacositrishecatonicosachoron 2.236068
afpox (old: affopix) 4D antifustric prismatohexacosachoron, compound of 60 gippid 2.236068
gippid 4D great prismatodecachoron, omnitruncated pentachoron, Voronoi cell of lattice A4* 2.236068
girfixthi 4D great retrofrustic hexacositrishecatonicosachoron 2.236068
raffixthi 4D retrofrustic hexacositrishecatonicosachoron 2.236068
sirfixthi 4D small retrofrustic hexacositrishecatonicosachoron 2.236068
captid (old: hiptid) 5D celliprismatotruncated dodecateron, hedratoprismatotruncated dodecateron, steriruncitruncated hexateron 2.236068
coatope (alt.: cotoe totric) 5D co atop tope, (co,toe,toe)-trigonic, co-first cap of sibrant at (rico,rico)-margin 2.236068
pripro 5D prip-first rotunda of captid 2.236068
recaptid 5D retrocelliprismatotruncated dodecateron 2.236068
ricatah 5D rico atop tah, rico-first cap of sibrant 2.236068
sibrant 5D small birhombated penteractitriacontiditeron, bicantellated penteract, bicantellated pentacross 2.236068
sripagrip 5D srip atop grip, srip-first cap of sibrant 2.236068
siborg 6D small birhombated hexacontitetrapeton, bicantellated hexacross 2.236068
spam (old: skopam) 6D small prismated pentacontitetrapeton, (small hebdomecontadiaprismated pentacontitetrapeton) 2.236068
tactaf 6D tericellitruncated tetradecapeton, pentisteritruncated heptapeton 2.236068
toedip 6D truncated-octahedron - truncated-octahedron duoprism 2.236068
topeat 2D hyperbolic order 4 truncated pentagonal tiling 2.246127 i
tiddoh 3D hyperbolic truncated (order 4) dodecahedral honeycomb 2.246127 i
... 3D hyperbolic x3x3o3x4*a tesselation 2.256021 i
spox 6D small prismated hexeract, runcinated hexeract 2.263033
squasnid 5D square - snub-dodecahedron duoprism 2.268840
totrat 2D truncated order 8 trigonal tiling, hyperbolic order 8 truncated trigonal tiling 2.276396 i
noquapant 5D penteractiquasiprismated penteractitriacontaditeron 2.283521
... 4D 2sadtifady (?) 2.288246
... 4D 2sitphi (?) 2.288246
dedip (old: dadip) 4D decagon-decagon duoprism 2.288246
pecupe 4D pentagonal-cupola prism, pentagonal-prism atop decagonal-prism 2.288246
saddiddip 4D small-dodekicosidodecahedron prism 2.288246
sadtap 4D small ditetrahedronary prismatochoron, compound of 36 dedip 2.288246
sadtef pixady 4D small ditetrahedronary exofissary prismatohexacosadishecatonicosachoron 2.288246
sadtifady 4D small ditetrahedronarofissary dishecatonicosachoron 2.288246
sand tathi 4D small intercepted ditetrahedronary trishecatonicosachoron 2.288246
saquid paxhi 4D small quasidisprismatohexacosihecatonicosachoron, Holey Terror 2.288246
sedit pathi 4D small exoditetrahedronary prismatotriakishecatonicosachoron 2.288246
sefidtethi 4D small exofissary ditetrahedronary tetrakishecatonicosachoron 2.288246
sefradit thix 4D small exofissary retroditetrahedronary triakishecatonicosihexacosachoron 2.288246
siddatady 4D small ditetrahedral dishecatonicosachoron 2.288246
siddit paxhi 4D small ditetrahedronary hexacosidishecatonicosachoron 2.288246
sidtaxady 4D small ditetrahedronary hexacosidishecatonicosachoron 2.288246
sidtaxhi 4D small ditetrahedronary hexacosihecatonicosachoron 2.288246
sirdatady 4D small retroditetrahedral dishecatonicosachoron 2.288246
... 4D sirdatady+1440{5/2} 2.288246
sirdtapady 4D small retroditetrahedronary prismatodishecatonicosachoron 2.288246
... 4D sirdtapady+600 2tet (?) 2.288246
sirdtaxady 4D small retroditetrahedronary hexacosidishecatonicosachoron 2.288246
sitphi 4D small tripesic hecatonicosachoron 2.288246
sradditdahix 4D small retroditetrahedronary dishecatonicosihexacosachoron 2.288246
sriddip, K-4.111 4D small-rhombicosidodecahedron prism 2.288246
idodip 6D icosidodecahedron-icosidodecahedron duoprism 2.288246
gippiddip 5D great-prismatodecachoron prism 2.291288
hitte 4D hyperbolic (order 3) hecatonicosachoric tetracomb 2.301105 i
trasrid 5D triangle - small-rhombicosidodecahedron duoprism 2.306383
girco 3D great rhombicuboctahedron (but not querco), truncated cuboctahedron, omnitruncated octahedron, omnitruncated cube 2.317611
pysnic 3D pyritosnub cube, pyritohedral sirco variant, edge-alternated girco 2.317611
sidtaxhiap 5D small ditetrahedrary hexacontahecatonicosachoron antiprism 2.321762
sirdtaxadiap 5D small retroditetrahedronary hexacosidishecatonicosachoron atop alternate small retroditetrahedronary hexacosidishecatonicosachoron, small retroditetrahedronary hexacosidishecatonicosachoron alterprism 2.321762
ditdi 4D disicositetratruncated disicositetrachoron 2.326846
guti 4D great tetrakisicositetrachoron 2.326846
thatpath 4D tesseractihexadecatruncated prismatotesseractihexadecachoron 2.326846
cograx (old: gocrax, goharx) 5D celligreatorhombated hexateron (great cellirhombated hexateron, great hedratorhombated hexateron), stericanitruncated hexateron 2.327373
gripagippid 5D grip atop gippid, grip-first cap of cograx 2.327373
rocgrax 5D retrocelligreat rhombated hexateron 2.327373
tocral (old: stocral) 6D tericellirhombated heptapeton, pentiruncitruncated heptapeton 2.329929
otwadip 4D octagon - dodecagon duoprism 2.332200
gadinnert 5D great dispenteractirhombated triacontaditeron 2.336045
... 3D hyperbolic x3x3x3x5*a tesselation 2.339260 i
squasrid 5D square - small-rhombicosidodecahedron duoprism 2.342236
cograxa (old: cograxalcograx) 6D cograx alterprism, cograx atop alternate cograx 2.345208
sobpoxog 6D small biprismated hexeractihexacontatetrapeton, biruncinated hexeract, biruncinated hexacross 2.345208
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
sixathi 4D small hexacositriakishecatonicosachoron 2.351141
radeda tigid, raded || tigid 4D rhombidodecadodecahedron atop truncated great dodecahedron 2.363565
... 4D 2prit (?) 2.370932
gircope, K-4.125 4D great-rhombicuboctahedron prism 2.370932
prit 4D prismatorhombated tesseract, prismatotruncated hexadecachoron, runcitruncated hexadecachoron 2.370932
sichado 4D small cubihexadecadisoctachoron 2.370932
sircoa gircotum 4D bistratic cap of prismatorhombated tesseract, rhombicuboctahedral rotunda, (sirco,girco)-based tutschoron, (sirco,girco)-based tutism 2.370932
sirpdo 4D small rhombiprismatodisoctachoron 2.370932
pithin 5D prismatotruncated hemipenteract, runcitruncated demipenteract, stericantic penteract 2.371708
sripa gippidtum 5D srip-first bistratic cap of pithin, (srip,gippid)-based tutsateron, (srip,gippid)-based tutism 2.371708
thexagtah 5D thex atop gyrated tah 2.371708
sirjak 6D small rhombated icosiheptaheptacontidipeton 2.380476
tragirco 5D triangle - great-rhombicuboctahedron duoprism 2.388442
gabril 6D great birhombated heptapeton, bicantitruncated heptapeton 2.390457
togral (old: gotral) 6D terigreatorhombated heptapeton, penticantitruncated heptapeton 2.390457
crohax (old: scrohax) 6D (small) cellirhombated hemihexeract, pentiruncinated demihexeract, pentiruncic hexeract 2.397916
grotazt 2D hyperbolic great rhombitriapeirogonal tiling, hyperbolic omnitruncated trigonal-horocyclic tiling, hyperbolic truncated triapeirogonal tiling 2.397916 i
gapthi 4D grand prismatotriakishecatonicosachoron 2.400819
quippirghi 4D quasiprismatorhombated grand hecatonicosachoron 2.400819
cappin 5D celliprismated penteract, steritruncated pentacross 2.423081
prittip 5D prismatorhombated-tesseract prism, prismatotruncated-hexadecachoron prism, runcitruncated-hexadecachoron prism, central segment of cappin 2.423081
setitdin 5D small tesseractitriacontidiadispenteract 2.423081
squagirco 5D square great-rhombicuboctahedron duoprism 2.423081
thesa 7D truncated demihepteract 2.423840
dahitady 4D dishecatonicositruncated dishecatonicosachoron 2.431014
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
doc 4D distetracontoctachoron 2.449490
barm (old: scram, bram, remak, kram) 6D birectified pentacontitetrapeton, (small centrorhombated pentacontitetrapeton) 2.449490
hagippid 6D hexagon - great-prismated-pentachoron duoprism 2.449490
taporf (old: staporf) 6D teriprismatorhombitetradecapeton, pentiruncicantellated heptapeton 2.449490
rolin (old: lanq) 7D rectified pentacontihexahecatonicosihexaexon, pentacontihexahecatonicosihexapentacosiheptacontihexaexon, Gosset polytope 03,2,1 2.449490
borfy 8D birectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t2(41,2) 2.449490
gripped 3D hyperbolic great rhombated order 5 dodecahedral honeycomb, hyperbolic cantitruncated order 5 dodecahedral honeycomb 2.456999 i
tan 5D truncated penteract 2.465447
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
... 3D 2ti (?) 2.478019
... 3D o5/2f5x variation of truncated great dodecahedron 2.478019
ti 3D truncated icosahedron, buckyball, Goldberg polyhedron GP(1,1) 2.478019
hixquitphix 4D hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosachoron 2.483382
sridati, srid || ti, K-4.126 4D small-rhombicosidodecahedron atop truncated-icosahedron 2.485450
padohi 4D prismatodishecatonicosachoron 2.497212
prissi 4D prismatorhombisnub icositetrachoron, prismato-semistruncated icositetrachoron, runcic snub icositetrachoron 2.497212
sad phiddix 4D small dipentary hecatonicosadishexacosachoron 2.497212
sid pippady 4D small dipentary prismatodishecatonicosachoron 2.497212
sidipthi 4D small dipental trishecatonicosachoron 2.497212
sidpixathi 4D small dipentagonal hexacositrihecatonicosachoron 2.497212
sisdipthi 4D small stellated dipental trishecatonicosachoron 2.497212
sissidaraded, sissid || raded 4D small stellated dodecahedron atop rhombidodecadodecahedron, sissid-first cap of padohi 2.497212
danpit 5D dispenteractiprismated triacontaditeron 2.5
srox 6D small rhombated hexeract, cantellated hexeract 2.515637
hagirco (old: higgirco) 5D hexagon great-rhombicuboctahedron duoprism 2.524147
gaquapan 5D great quasiprismated penteract 2.527061
tipe, K-4.127 4D truncated-icosahedron prism 2.527959
trati 5D triangle - truncated-icosahedron duoprism 2.544388
... 3D x3u4o, variation of truncated octahedron 2.549510
bittin 5D bitruncated penteract 2.549510
xog 6D hexeractihexacontatetrapeton, tritruncated hexeract, tritruncated hexacross 2.549510
... 3D q3x4x, variation of girco, hull of quitco 2.564844
grawvathi 4D great retrosphenoverted triakishecatonicosachoron 2.572554
swav ditathi 4D small sphenoverted ditrigonary triakishecatonicosachoron 2.572554
squati 5D square - truncated-icosahedron duoprism 2.576932
gippix 5D great prismated hexateron, runcicantitruncated hexateron 2.581989
catjak (old: detidjik) 6D cellitruncated icosiheptapeton (disteridisicosiheptaheptacontidipeton) 2.581989
osrid 5D octagon - small-rhombicosidodecahedron duoprism 2.587117
captal 6D celliprismatotruncated heptapeton, steriruncitruncated heptapeton 2.591194
cathix 6D cellitruncated hemihexeract, steritruncated demihexeract, penticantic hexeract 2.598076
... 3D q3o5x, variation of srid 2.601518
... 3D o3x4u, variation of truncated cube 2.613126
... 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
coatic, K-4.129 4D cuboctahedron atop truncated cube, cuboctahedral cap of small rhombated icositetrachoron 2.613126
cytid srico 4D cyclotridiminished small rhombated icositetrachoron 2.613126
pabdiproh 4D parabidiminished prismatorhombated hexadecachoron, tristratic tic-first central segment of proh 2.613126
proh 4D prismatorhombated hexadecachoron, prismatotruncated tesseract, runcitruncated tesseract 2.613126
rawvaty 4D retrosphenoverted triakisicositetrachoron 2.613126
siphado 4D small prismatohexadecadisoctachoron 2.613126
sirpith 4D small rhombiprismated tesseractihexadecachoron 2.613126
srico 4D small rhombated icositetrachoron, cantellated icositetrachoron 2.613126
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
cagral (old: gacral) 6D celligreatorhombated heptapeton, stericantitruncated heptapeton 2.618615
narptint 5D penteractiretroprismatotruncated penteractitriacontaditeron 2.621320
niptant 5D penteractiprismatotruncated penteractitriacontaditeron 2.621320
ritasrit, rit || srit 5D rectified-tesseract atop small-rhombated-tesseract 2.632865
sricoa (old: sricoalsrico), srico || gyro srico 5D small-rhombated-icositetrachoron alterprism, small-rhombated-icositetrachoron atop gyrated small-rhombated-icositetrachoron 2.632865
... 3D x3x4q, variation of great rhombicuboctahedron 2.645751
tastic 4D truncated stellated tetracontoctachoron, compound of 2 truncated icositetrachora 2.645751
tico 4D truncated icositetrachoron, cantitruncated hexadecachoron 2.645751
tidox (old: togex) 4D truncated dodecahedronary-hexacosachoron (truncated great hexacosachoron), compound of 25 tico 2.645751
tidtidohi 4D truncated ditrigonary dishecatonicosachoron 2.645751
tiggidtixhi 4D truncated great ditrigonary hexacosihecatonicosachoron 2.645751
tissidtixhi 4D truncated small ditrigonary hexacosihecatonicosachoron 2.645751
gart 5D great rhombated triacontiditeron, cantitruncated pentacross 2.645751
dotum 6D dot-first bistratic cap of tim, dot-based tutsatope, dot-based tutism 2.645751
grog 6D great rhombihexacontitetrapeton, cantitruncated hexacross 2.645751
saborx 6D small birhombated hexeract, bicantellated hexeract 2.645751
tim 6D truncated pentacontitetrapeton 2.645751
tragrip 6D triangle - great-rhombated-pentachoron duoprism 2.645751
talq 7D truncated pentacontihexapentacosiheptacontihexaexon 2.645751
robay 8D rectified diacositetracont-myriaheptachiliadiacosioctaconta-zetton, t1(21,4) 2.645751
thocto 8D truncated hemiocteract 2.645751
tiffy 8D truncated dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton 2.645751
..., tico || prissi 5D tico atop prissi 2.647378
carnit (old: scarnit) 5D (small) cellirhombated penteractitriacontiditeron, stericantellated penteract, stericantellated pentacross 2.660531
ogirco 5D octagon - great-rhombicuboctahedron duoprism 2.660531
prohp 5D prismatorhombated-hexadecachoron prism, prismatotruncated-tesseract prism, runcitruncated-tesseract prism, central segment of carnit 2.660531
rawcbinant (old: recarnit) 5D retrosphenary cellibiprismatopenteractipenteractitriacontaditeron, retrocellirhombated penteractitriacontaditeron 2.660531
sricope (old: sripe) 5D small-rhombated-icositetrachoron prism, cantellated-icositetrachoron prism 2.660531
amtut 3D ambiated truncated tetrahedron 2.661453
... 3D d3o3x, variation of cuboctahedron 2.661453
hati 5D hexagon - truncated-icosahedron duoprism 2.672186
rawvathi 4D retrosphenoverted triakishecatonicosachoron 2.689994
sraghi 4D small rhombated grand hecatonicosachoron 2.689994
ticope 5D truncated-icositetrachoron prism 2.692582
gaqrigashi 4D great quasirhombated great stellated hecatonicosachoron 2.700333
tapox (old: stapox) 6D teriprismated hexeract, penticantellated hexacross 2.707107
copril 6D celliprismatorhombated heptapeton, steriruncicantellated heptapeton 2.725541
sirthet 2D small rhombitriheptagonal tiling, hyperbolic rhombitriheptagonal tiling 2.728895 i
twaddip 4D dodecagonal-dodecagonal duoprism 2.732051
pattit 5D prismatotruncated triacontiditeron, runcitruncated pentacross 2.738613
pripa gippid 5D prip atop gippid, prip-first cap of pattit 2.738613
ricoa ticotum 5D rico-based tutsatope, rico-based tutism, rico-first bistratic cap of pattit 2.738613
potag 6D prismatotruncated hexacontitetrapeton, runcitruncated hexacross 2.738613
tox 6D truncated hexeract 2.745093
girhin 5D great rhombated hemipenteract, cantitruncated demipenteract, runcicantic penteract 2.761340
spojak 6D small prismated icosiheptapeton 2.768875
prohax 6D prismatorhombated hemihexeract, runcicantellated demihexeract, steriruncic hexeract 2.783882
... 3D f3o5x, variation of srid, hull of siid, hull of quit gissid 2.785428
sersa 7D small rhombated hepteract, cantellated hepteract 2.790257
oti 5D octagon - truncated-icosahedron duoprism 2.801372
... 4D 2firsashi (?) 2.802517
... 4D rico-derived polychoron incorporating does 2.802517
firsashi 4D faceted rectified small stellated hecatonicosachoron 2.802517
hinhi 4D hecatonicosintercepted hecatonicosachoron 2.802517
rasishi 4D rectified small stellated hecatonicosachoron 2.802517
gapil 6D great prismated heptapeton, runcicantitruncated heptapeton 2.803060
prih 3D hyperbolic prismatorhombated order 3 icosahedral honeycomb, hyperbolic runcitruncated order 3 icosahedral honeycomb 2.809263 i
gik vipathi 4D great skewverted prismatotriakishecatonicosachoron 2.828427
iquatpic 4D icositetraquasitruncated prismatotetracontoctachoron 2.828427
kavipathi 4D skewverted prismatotrishecatonicosachoron 2.828427
redeca 4D rectified decachoron 2.828427
sik vipathi 4D small skewverted prismatotriakishecatonicosachoron 2.828427
catog 6D cellitruncated hexacontitetrapeton, steritruncated hexacross 2.828427
hotjak 6D demitruncated icosiheptapeton 2.828427
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
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
botox 6D bitruncated hexeract 2.915476
gid tipathi 4D great ditrigonal prismatotriakishecatonicosachoron 2.920251
giphixhi 4D great prismatohecatonicosihexacosihecatonicosachoron 2.920251
topag (old: stopag) 6D teriprismated hexacontitetrapeton, penticantellated hexeract 2.921564
... 3D hyperbolic x3x3x3x4*a tesselation 2.942253 i
botajik 6D bitruncated icosiheptaheptacontidipeton 2.943920
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
gocad (old: gohad) 5D great cellated dodecateron (great hedrated dodecateron), omnitruncated hexateron, Voronoi cell of lattice A5* 2.958040
pithax 6D prismatotruncated hemihexeract, runcitruncated demihexeract, stericantic hexeract 2.958040
... 3D 2tid (?) 2.969449
tid 3D truncated dodecahedron 2.969449
shihix 4D small hecatonicosihecatonicosihexacosachoron 2.975584
sixhidy 4D small hexacosihecatonicosadishecatonicosachoron 2.975584
tacogral (old: gatocral) 6D tericelligreatorhombated heptapeton, pentistericantitruncated heptapeton 2.976095
thetrat 2D truncated order 7 triangular tiling, hyperbolic order 7 truncated trigonal tiling 2.976586 i
tasa 7D truncated hepteract 2.998773
dahi 4D dishecatonicosachoron 3
hixady 4D hecatonicosihexacosidishecatonicosachoron 3
xhidy 4D hexacosihecatonicosadishecatonicosachoron 3
pirt 5D prismatorhombated triacontiditeron, runcicantellated pentacross 3
repirt 5D retroprismatorhombated triacontiditeron 3
tahatico 5D tah atop tico, tah-first segment of pirt 3
gibpof 6D great biprismated tetradecapeton, biruncicantitruncated heptapeton 3
gocadip 6D great-cellated-hexateron prism 3
prog 6D prismatorhombated hexacontitetrapeton, runcicantellated hexacross 3
sabrim (old: pirm, sirmak, skorm) 6D small birhombated pentacontitetrapeton, (prismatorectified pentacontitetrapeton, small rhombated pentacontitetraheptacontidipeton, small heptacontidirhombated pentacontitetrapeton) 3
... 4D 2grit (?) 3.005916
grit 4D great rhombated tesseract, cantitruncated tesseract 3.005916
tiddip, K-4.130 4D truncated-dodecahedron prism 3.011250
nurrant 5D penteractirhombated penteractitriacontaditeron 3.013043
tratid 5D triangle - truncated-dodecahedron duoprism 3.025056
gaquacint 5D great quasicellated penteractitriacontiditeron 3.029675
... 3D f3x5o, variation of ti, hull of tigid, hull of gaddid 3.036797
soro 8D small rhombated octeract, cantellated octeract 3.040171
grittip 5D truncated-tesseract prism, central segment of prin 3.047217
prin 5D prismatorhombated penteract, runcicantellated penteract 3.047217
sibtadin 5D small biprismatotriacontadiadispenteract 3.047217
squatid 5D square - truncated-dodecahedron duoprism 3.052479
... 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
arspabd biscrox 4D around-symmetrically parabidiminished bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
arsted biscrox 4D around-symmetrically tridiminished bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
bicypdrox 4D (bistratic) bi-cyclopentadiminished rectified hexacosachoron 3.077684
biscrox 4D bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
damibdrox 4D deep metabidiminished rectified hexacosachoron 3.077684
didamibdrox 4D diminished deep metabidiminished rectified hexacosachoron 3.077684
frox 4D faceted rectified hexacosichoron 3.077684
... 4D frox+600 2thah (?) 3.077684
... 4D dodeca-diminished equatorial tetrastratic segment of rox 3.077684
... 4D equatorial tetrastratic segment of rectified hexacosachoron 3.077684
gyepipa pero, K-4.140 4D gyroelongated pentagonal pyramid atop pentagonal rotunda 3.077684
idasrid, id || srid, K-4.131 4D icosidodecahedron atop small rhombicosidodecahedron, icosidodecahedron cupola, ike-first supra-cap of rox 3.077684
ikaid, ike || id, K-4.137 4D icosahedron atop icosidodecahedron, icosahedral cap of rectified hexacosachoron, icosahedral cupola 3.077684
ipixady 4D invertopental hexacosadishecatonicosachoron 3.077684
lifpipixhi 4D polar facetopental prismatohexacosahecatonicosachoron 3.077684
nipixady 4D intercepted invertopental hexacosadishecatonicosachoron 3.077684
paw, K-4.133, {10} || pap 4D antipentawedge, decagon - pentagonn-antiprismatic wedge, pentagonal gyrobicupolaic ring, {10} || pap, {5} || gyrated pecu 3.077684
peppia pero, K-4.139 4D pentagonal-pyramid atop pentagonal-rotunda 3.077684
pippy, K-4.141 4D pentagonal-prismatic pyramid, vertex pyramid of the rectified hexacosachoron 3.077684
pybiscrox 4D pyritohedral bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
ridimex (alt.: idimrox) 4D rectified icosidiminished hexacosachoron, icosidiminished rectified hexacosachoron 3.077684
risadi (alt.: idrox) 4D rectified snub icositetrachoron, icositetradiminished rectified hexacosachoron 3.077684
rixhi 4D retroinverted hexacosahecatonicosachoron 3.077684
rofix 4D rectified faceted hexacosichoron 3.077684
rox 4D rectified hexacosachoron 3.077684
... 4D rox+720pip (?) 3.077684
sadsadox 4D small disnub dihexacosachoron 3.077684
sophi 4D small prismatohecatonicosachoron 3.077684
spidrox (alt.: hidrox) 4D swirlprismatodiminished rectified hexacosachoron, 120-diminished rectified hexacosachoron 3.077684
sprapivady 4D small pentagonal retroprismatoverted dishecatonicosachoron 3.077684
sridatidu 4D expanded axially-icosahedral ursachoron, (srid,tid)-based ursulate 3.077684
sriphi 4D small retropental hecatonicosachoron 3.077684
teddi aid, teddi || id, K-4.147 4D tridiminished icosahedron atop icosidodecahedron 3.077684
... 4D xofo3ofox5xoxx&#xt 3.077684
... 4D xoo3ofx5xox&#xt 3.077684
... 4D hexastratic ike-first cap of rectified hexacosachoron 3.077684
papaid, pap || id, K-4.142 7D pentagonal-antiprism atop icosidodecahedron 3.077684
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
copox 6D celliprismated hexeract, steriruncinated hexeract 3.087966
hopitjak (old: hoptijak) 6D demiprismatotruncated icosiheptaheptacontidipeton 3.109126
tagopal (old: gatopal) 6D terigreatoprismated heptapeton, pentiruncicantitruncated heptapeton 3.116775
roxip 5D rectified-hexacosachoron prism 3.118034
tacog 6D tericellated hexacontitetrapeton, pentitruncated hexeract 3.121320
grotepet (old: opeat) 2D great rhombitetrapentagonal tiling, omnitruncated pentagonal tiling, hyperbolic omnitruncated tetrapentagonal tiling 3.121470 i
trarox 6D triangle - rectified-hexacosachoron duoprism 3.131369
hatid 5D hexagon - truncated-dodecahedron duoprism 3.133309
gadixady 4D great dishexacosadishecatonicosachoron 3.139124
gidthixhi 4D great ditrigonary hecatonicosihexacosihecatonicosachoron 3.139124
squarox 6D square - rectified-hexacosachoron duoprism 3.157869
torfy 8D trirectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t3(41,2) 3.162278
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
mipthi 4D medial prismatotriakishecatonicosachoron 3.199386
paqrigshi (old: paqraghi) 4D prismatoquasirhombated great stellated hecatonicosachoron (prismatoquasirhombated grand hecatonicosachoron) 3.199386
croc 4D tetracontoctirhombated tetracontoctachoron 3.200413
tocto 8D truncated octeract 3.232607
... 3D f3v5v, variation of grid, hull of idtid 3.236068
pattin 5D prismatotruncated penteract, runcitruncated penteract 3.239235
prohagrit 5D proh atop grit, proh-first segment of pattin 3.239235
otid 5D octagon - truncated-dodecahedron duoprism 3.244185
giphin 5D great prismated hemipenteract, steriruncicantic penteract 3.259601
shorjak 6D small demirhombated icosiheptaheptacontidipeton 3.265986
crax (old: scrax) 6D (small) cellirhombated hexeract, stericantellated hexeract 3.277597
caprohax 6D small celliprismatorhombated hemihexeract, steriruncicantellated demihexeract, pentisteriruncic hexeract 3.278719
girhax 6D great rhombated hemihexeract, cantitruncated demihexeract, runcicantic hexeract 3.278719
srawv ditathi 4D small retrosphenoverted ditrigonary triakishecatonicosachoron 3.294556
swavixady 4D small sphenoverted hexacosadishecatonicosachoron 3.294556
... 4D x3o4q3o, variation of small rhombated icositetrachoron 3.316625
copog 6D celliprismated hexacontitetrapeton, steriruncinated hexacross 3.316625
sram (old: skobram, skabram) 6D small rhombated pentacontitetrapeton, (small hebdomecontadiabirhombated pentacontitetrapeton) 3.316625
gacal 6D great cellated heptapeton, steriruncicantitruncated heptapeton 3.380617
sirghi 4D small rhombated great hecatonicosachoron 3.387054
srawv hidy 4D small retrosphenoverted hecatonicosadishecatonicosachoron 3.387054
gibrant 5D great birhombated penteractitriacontiditeron, bicantitruncated penteract 3.391165
gaborg 6D great birhombihexacontitetrapeton, bicantitruncated hexacross 3.391165
sirghia 5D small rhombated great hecatonicosachoron alterprism 3.404434
amtic 3D ambiated truncated cube 3.414214
... 4D 2cont (?) 3.414214
cont 4D tetracontoctachoron, octagonny, bitruncated icositetrachoron 3.414214
contip 5D tetracontoctachoron prism, bitruncated-icositetrachoron prism 3.450631
catax 6D cellitruncated hexeract 3.456841
... 3D x3f5o, variation of ti, hull of raded, hull of kri 3.463334
boprax 6D biprismatorhombated hexeract, biruncitruncated hexacross 3.464102
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
tighi 4D truncated great hecatonicosachoron 3.477092
... 4D 2prico (?) 3.498949
gidpith 4D great disprismatotesseractihexadecachoron, great prismated tesseract, omnitruncated tesseract 3.498949
prico 4D prismatorhombated icositetrachoron, runcitruncated icositetrachoron 3.498949
sipti 4D small prismatotriakisicositetrachoron 3.498949
toagirco, toe || girco, K-4.149 4D truncated octahedron atop great rhombicuboctahedron, truncated octahedral cap of prismatorhombated icositetrachoron 3.498949
nippant 5D penteractiprismated penteractitriacontaditeron 3.505073
pricoa (old: pricoalprico) 5D prismatorhombated-icositetrachoron alterprism, prismatorhombated-icositetrachoron atop alternate prismatorhombated-icositetrachoron 3.522336
gipthi 4D great prismatotriakishecatonicosachoron 3.531591
quippirfix 4D quasiprismatorhombated faceted hexacosachoron 3.531591
cogart (old: gocart) 5D celligreatorhombated triacontiditeron, (great cellirhombated triacontiditeron), stericantitruncated pentacross 3.534493
gidpithip 5D great-disprismatotesseractihexadecachoric prism, great-prismated-tesseract prism, central segment of cogart 3.534493
pricope (old: pripe) 5D prismatorhombated-icositetrachoron prism, runcitruncated-icositetrachoron prism 3.534493
sibcotdin 5D small biprismatocellitriacontadiadispenteract 3.534493
respic 4D rectified small prismated tetracontoctachoron 3.557647
haprojak 6D demiprismatorhombated icosiheptapeton 3.559026
girn 5D great rhombated penteract, cantitruncated penteract 3.563671
berlin (old: shabrilq) 7D birhombated pentacontihexahecatonicosihexaexon (small demibirhombated pentacontihexapentacosiheptacontihexaexon) 3.570714
prox 6D prismatorhombated hexeract, runcicantellated hexeract 3.598576
grih 3D hyperbolic great rhombated order 3 icosahedral honeycomb, hyperbolic cantitruncated order 3 icosahedral honeycomb 3.601065 i
hihiquatady 4D hecatonicosihecatonicosiquasitruncated dishecatonicosachoron 3.605551
girjak 6D great rhombated icosiheptaheptacontidipeton 3.605551
boprag 6D biprismatorhombated hexacontitetrapeton, biruncitruncated hexeract 3.674235
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
sircaptint (old: srecaptint) 5D small retrocelliprismatotruncated penteractitriacontaditeron 3.701317
... 4D 2hi (?) 3.702459
hi, pD 4D hecatonicosachoron, 120-cell, dodecacontachoron, twelftychoron, cosmochoron, dodecaplex, polydodecahedron 3.702459
hidhi 4D hecatonicosa-diminished hecatonicosachoron 3.702459
tolin 7D truncated pentacontihexahecatonicosihexaexon 3.708099
hipe 5D hecatonicosachoron prism 3.736068
gotaf 6D great terated tetradecapeton, omnitruncated heptapeton, Voronoi cell of lattice A6* 3.741657
titam (old: cacram, totam, tomak, katom) 6D tritruncated pentacontitetrapeton, (centrocellirhombated pentacontitetrapeton, trunkated pentacontitetraheptacontidipeton, heptacontiditruncated pentacontitetrapeton) 3.741657
trahi 6D triangle - hecatonicosachoron duoprism 3.747204
potax 6D prismatotruncated hexeract, runcitruncated hexeract 3.762560
squahi 6D square-hecatonicosachoron duoprism 3.769377
theat 2D truncated heptagonal tiling, hyperbolic order 3 truncated heptagonal tiling 3.792295 i
grid 3D great rhombicosidodecahedron (but not qrid), truncated icosidodecahedron, omnitruncated icosahedron, omnitruncated dodecahedron 3.802395
gixathi 4D great hexacositriakishecatonicosachoron 3.804226
hixtixhi 4D hecatonicosihexacositruncated hexacosihecatonicosachoron 3.804226
titajak (old: totajik, oldest: hibtajak) 6D tritruncated icosiheptaheptacontidipeton, (demibitruncated icosiheptaheptacontidipeton) 3.829708
griddip, K-4.150 4D great-rhombicosidodecahedron prism 3.835128
sit thixady 4D small tritrigonal hecatonicosihexacosidishecatonicosachoron 3.835128
stut dixady 4D small tritrigonal dihexacosidihecatonicosachoron 3.835128
stut phiddix 4D small tritrigonal prismatohecatonicosidishexacosachoron 3.835128
stut pixady 4D small tritrigonal prismatohexacosidihecatonicosachoron 3.835128
stut thix 4D small tritrigonal trishecatonicosihexacosachoron 3.835128
stut xethi 4D small tritrigonal hexacositrishecatonicosachoron 3.835128
tiatid, ti || tid, K-4.151 4D truncated icosahedron atop truncated dodecahedron 3.835128
... 4D x3o3o5v, variation of small disprismatohexacosihecatonicosachoron 3.835128
tragrid 5D triangle - great-rhombicosidodecahedron duoprism 3.845977
stut phiddixa 5D small tritrigonal prismatohecatonicosidishexacosachoron alterprism 3.855219
squagrid 5D square - great-rhombicosidodecahedron duoprism 3.867584
xithi 4D hexacositriakishecatonicosachoron 3.872983
gippit 5D great prismated triacontiditeron, omnitruncated hemipenteract 3.872983
gopog 6D great prismated hexacontitetrapeton, runcicantitruncated hexacross 3.872983
patom (old: kaprom) 6D prismatotruncated pentacontitetrapeton, runcitruncated pentacontitetrapeton, (heptacontidiprismatorhombated pentacontitetrapeton) 3.872983
gabach 7D great bicellihexadecaexon 3.872983
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
gippitip 6D great-prismated-triacontiditeron prism 3.905125
hagrid 5D hexagon - great-rhombicosidodecahedron duoprism 3.931692
mrawv hixhi 4D medial retrosphenoverted hecatonicosihexacosihecatonicosachoron 3.963358
sirsashi 4D small rhombated small stellated hecatonicosachoron 3.963358
cogrin (old: gocrin) 5D celligreatorhombated penteract (great cellirhombated penteract), stericantitruncated penteract 3.988340
gritta gidpith 5D grit atop gidpith, grit-first segment of cogrin 3.988340
srocgrin 5D small retrocelligreat rhombated penteract 3.988340
gaborx 6D great birhombated hexeract, bicantitruncated hexeract 4
toby (old: tobay) 8D truncated diacositetracont-myriaheptachiliadiacosioctaconta-zetton 4
ogrid 5D octagon - great-rhombicosidodecahedron duoprism 4.020611
grox 6D great rhombihexeract, cantitruncated hexeract 4.045239
ghipady 4D great hecatonicosiprismatodishecatonicosachoron 4.087567
gid thipady 4D great ditrigonary hecatonicosiprismatodishecatonicosachoron 4.087567
bitem (old: gacram, botam, kobtam) 6D bitruncated pentacontitetrapeton, (great centrorhombated pentacontitetrapeton, heptacontidia-bitruncated pentacontitetrapeton) 4.123106
dahiquatady 4D dishecatonicosiquasitruncated dishecatonicosachoron 4.134026
sid tipathi 4D small ditrigonary prismatotriakishecatonicosachoron 4.179968
sphixhi 4D small prismatohecatonicosihexacosihecatonicosachoron 4.179968
gaquidphihi 4D great quasidisprismatohecatonicosihecatonicosachoron 4.242641
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
... 4D 2grico (?) 4.299451
grico 4D great rhombated icositetrachoron, cantitruncated icositetrachoron 4.299451
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
... 3D v3x5f, variation of grid, hull of gaquatid 4.323687
gricope (old: gripe) 5D great-rhombated-icositetrachoron prism, cantitruncated-icositetrachoron prism 4.328427
... 3D f3x5x, variation of great rhombicosidodecahedron, hull of quitdid 4.341518
diddatigid, did || tigid 4D dodecadodecahedron atop truncated great dodecahedron, did-first cap of sirfix 4.352502
sirfix 4D small rhombated faceted hexacosachoron 4.352502
srawvathi 4D small retrosphenoverted triakishecatonicosachoron 4.352502
gippin 5D great prismated penteract, runcicantitruncated penteract 4.371952
dohitipady 4D dishecatonicositruncated prismatodishecatonicosachoron 4.472136
... 4D 2fry (?) 4.534568
... 4D 2rahi (?) 4.534568
... 4D 2rahi+2400tet (?) 4.534568
bicypdrahi 4D (bistratic) bi-cyclopentadiminished rectified hexacosachoron 4.534568
biscrahi 4D bistratic icosidodecahedron-first cap of rectified hecatonicosachoron 4.534568
fry 4D facetorectified hecatonicosachoron 4.534568
rahi 4D rectified hecatonicosachoron 4.534568
ripahi 4D retroinverted prismatohecatonicosachoron 4.534568
... 4D ripahi+600 2thah (?) 4.534568
shinhi 4D small hecatonicosintercepted hecatonicosachoron 4.534568
graghi 4D great rhombated grand hecatonicosachoron 4.550627
rahipe 5D rectified-hecatonicosachoron prism 4.562051
trarahi 6D triangle - rectified-hecatonicosachoron duoprism 4.571175
prom (old: kaptom) 6D prismatorhombated pentacontitetrapeton, (heptacontidiprismatotruncated pentacontitetrapeton) 4.582576
guph 7D great petated hexadecaexon, hexipentisteriruncicantitruncated octaexon, omnitruncated octaexon 4.582576
squarahi 6D square - rectified-hecatonicosachoron duoprism 4.589369
bhidtex 4D bi-hecatonicosidiminished truncated hexacosichoron 4.643523
iktum 4D bistratic icosahedron-first cap of truncated hexacosachoron, ike-based tutsatope, ike-based tutism 4.643523
tex 4D truncated hexacosachoron 4.643523
tidimex (alt.: idimtex) 4D truncated icosidiminished hexacosachoron, icosidiminished truncated hexacosachoron 4.643523
tiffix 4D truncated faceted hexacosichoron 4.643523
tisadi (alt.: idtex) 4D truncated snub icositetrachoron, icositetradiminished truncated hexacosachoron 4.643523
thipe 5D truncated-hecatonicosachoron prism 4.670365
sik vadixady 4D small skewverted dishexacosidishecatonicosachoron 4.684471
sik vixathi 4D small skewverted hexacositriakishecatonicosachoro 4.684471
skiv datapixady 4D small skewverted ditrigonary prismatohexacosadishecatonicosachoron 4.684471
texip 5D truncated-hexacosachoron prism 4.749980
grixip 5D great-rhombated-hexacosachoron prism 4.776223
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
pirghi 4D prismatorhombated great hecatonicosachoron 4.917351
siphidy 4D small prismated hecatonicosadishecatonicosachoron 4.917351
pirghia 5D prismatorhombated great hecatonicosachoron alterprism 4.923348
gram (old: gakbram) 6D great rhombated pentacontitetrapeton, (old: great heptacontiduo-birhombated pentacontitetrapeton), cantitruncated pentacontitetrapeton 5
gaqrisashi 4D great quasirhombated small stellated hecatonicosachoron 5.018002
gippic 4D great prismatotetracontoctachoron, omnitruncated icositetrachoron 5.169905
gippiccup 5D great-prismatotetracontoctachoron prism, omnitruncated-icositetrachoron prism 5.194028
... 4D tetracontadisdiminished sidpixhi 5.236068
bidsid pixhi 4D bi-icositetra-diminished small disprismatohexacosihecatonicosachoron 5.236068
doasrid, doe || srid, K-4.152 4D dodecahedron atop small rhombicosidodecahedron, dodecahedral cap of small disprismatohexacosihecatonicosachoron 5.236068
idim sidpixhi 4D icosa-diminished small disprismatohexacosihecatonicosachoron 5.236068
idsid pixhi 4D icositetra-diminished small disprismatohexacosihecatonicosachoron 5.236068
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
sidpixhi 4D small disprismatohexacosihecatonicosachoron, runcinated hecatonicosachoron, runcinated hexacosachoron 5.236068
six fipady 4D small hexacosafaceted prismatodishecatonicosachoron 5.236068
... 4D six fipady+1200tet (?) 5.236068
sixhihy 4D small hexacosihecatonicosihecatonicosachoron 5.236068
gocog 6D great cellated hexacontitetrapeton, steriruncicantitruncated hemihexeract, omnitruncated hemihexeract 5.244044
sidpixhip 5D small-disprismatohexacosihecatonicosachoron prism, runcinated-hecatonicosachoron prism, runcinated-hexacosachoron prism 5.259887
rawvid tixady 4D retrosphenoverted ditrigonary hexacosadishecatonicosachoron 5.330704
wavhiddix 4D sphenoverted hecatonicosadishexacosachoron 5.330704
wavhiddixa 5D sphenoverted hecatonicosadishexacosachoron alterprism 5.345177
pirshi 4D prismatorhombated (small) stellated hecatonicosachoron 5.515107
sphihix 4D small prismatohecatonicosahecatonicosahexacosachoron 5.515107
sidhiquit paddy 4D small dishecatonicosaquasitruncated prismatodishecatonicosachoron 5.605034
tabif 8D truncated diacositetracont-dischiliahectohexaconta-zetton 5.830952
shihi 4D small hecatonicosihecatonicosachoron 5.854102
... 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
idati, id || ti, K-4.158 4D icosidodecahedron atop truncated icosahedron, icosidodecahedral cap of small rhombated hexacosachoron 6.073594
idimsrix 4D icosa-diminished small rhombated hexacosachoron 6.073594
idsrix 4D icositetra-diminished small rhombated hexacosachoron 6.073594
srawv hixhi 4D small retrosphenoverted hecatonicosihexacosihecatonicosachoron 6.073594
srix 4D small rhombated hexacosachoron, cantellated hexacosachoron 6.073594
tiscsrix 4D tristratic icosidodecahedron-first cap of small rhombihexacosachoron 6.073594
srixip 5D small-rhombated-hexacosachoron prism, cantellated-hexacosachoron prism 6.094140
hixthix 4D hecatonicosihexacositruncated hecatonicosihexacosachoron 6.186316
gopam (old: gakpam) 6D great prismated pentacontitetrapeton, (great heptaheptacontidiprismated pentacontitetrapeton), omnitruncated pentacontitetrapeton, omnitruncated icosiheptaheptacontidipeton 6.244998
gotaxog 6D great terated hexeractihexacontatetrapeton 6.293378
... 4D hexacosachoron-derived Gévay polychoron, rectified o3m3o5o 6.412847
goquidipdy 4D great quasidisprismatodishecatonicosachoron 6.566933
... 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
idsrahi 4D icositetra-diminished small rhombated hecatonicosachoron 6.735034
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
pinpixhi 4D prismatointercepted prismatohexacontahecatonicosachoron 6.735034
... 4D pinpixhi+1800{4} (?) 6.735034
sgysrahi 4D swirl-gyrated small rhombated hecatonicosachoron, swirl-gyrated cantellated hecatonicosachoron 6.735034
sidsrahi 4D swirl-diminished small rhombated hecatonicosachoron, swirl-diminished cantellated hecatonicosachoron 6.735034
spriphi 4D small pseudorhombated prismatohecatonicosachoron 6.735034
... 4D spriphi+600 2thah (?) 6.735034
srahi 4D small rhombated hecatonicosachoron, cantellated hecatonicosachoron 6.735034
srawvixady 4D small retrosphenoverted hexacosadishecatonicosachoron 6.735034
sridatid, K-4.159 4D small rhombicosidodecahedron atop truncated dodecahedron, small-rhombicosidodecahedral cap of small rhombated hecatonicosachoron 6.735034
srahip (old: srahipe) 5D small-rhombated-hecatonicosachoron prism 6.753568
recont 4D rectified tetracontoctachoron 6.754807
sixipady 4D small hexacosiprismatodishecatonicosachoron 6.881910
sphiddix 4D small prismatohecatonicosadishexacosachoron 6.881910
sphiddixa 5D small prismatohecatonicosadishexacosachoron alterprism 6.893126
girfix 4D great rhombated faceted hexacosachoron 7.404918
... 4D 2xhi (?) 7.579634
xhi 4D hexacosihecatonicosachoron, bitruncated hecatonicosachoron, bitruncated hexacosachoron 7.579634
xhip 5D hexacosihecatonicosachoron prism, bitruncated-hecatonicosachoron prism, bitruncated-hexacosachoron prism 7.596108
hixtaphix 4D hecatonicosihexacositruncated prismatohecatonicosihexacosachoron 7.735167
thi 4D truncated hecatonicosachoron 8.218334
... 4D 2prahi (?) 8.278950
idprahi 4D icositetra-diminished prismatorhombated hecatonicosachoron 8.278950
prahi 4D prismatorhombated hecatonicosachoron, runcitruncated hexacosachoron 8.278950
spixady 4D small prismatohexacosadishecatonicosachoron 8.278950
srida gridtum 4D bistratic srid-cap of prahi, (srid,grid)-based tutsachoron, (srid,grid)-based tutism 8.278950
prahip (old: prahipe) 5D prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism 8.294035
... 4D 2grix (?) 9.124101
grix 4D great rhombated hexacosachoron, cantitruncated hexacosachoron 9.124101
... 4D 2prix (?) 9.744610
idprix 4D icositetra-diminished prismatorhombated hexacosachoron 9.744610
prix 4D prismatorhombated hexacosichoron, runcitruncated hecatonicosachoron 9.744610
spixhihy 4D small prismatohexacosihecatonicosihecatonicosachoron 9.744610
tidagrid, tid || grid, K-4.173 4D truncated dodecahedron atop great rhombicosidodecahedron, truncated-dodecahedral cap of prismatorhombated hexacosichoron 9.744610
prixip 5D prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism 9.757429
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
... 4D 2grahi (?) 11.252107
grahi 4D great rhombated hecatonicosachoron, cantitruncated hecatonicosachoron 11.252107
grahip (old: grahipe) 5D great-rhombated-hecatonicosachoron prism, cantitruncated-hecatonicosachoron prism 11.263210
gidpixhi 4D great disprismatohexacosihecatonicosachoron, omnitruncated hecatonicosachoron, omnitruncated hexacosachoron 12.786651
gidpixhip 5D great-disprismatohexacosihecatonicosachoron prism, omnitruncated-hexacosachoron prism 12.796423

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