index-sorted

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
...	3D	2gissid (?)	`0.535233`
...	3D	3gissid (?)	`0.535233`
...	3D	6gissid (?)	`0.535233`
gissid	3D	great stellated dodecahedron	`0.535233`
...	4D	2gogishi (?)	`0.540182`
gogishi	4D	great grand stellated hecatonicosachoron	`0.540182`
...	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	`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`
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	`0.587785`
...	3D	sissid+3gike (?)	`0.587785`
stappy, 5/2-pyr	3D	pentagrammic pyramid	`0.587785`
starp (old: restap)	3D	stellar retroprism (retrograde stellar antiprism), 5/3-antiprism	`0.587785`
targi	3D	trireplinished great icosahedron	`0.587785`
...	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 simplex (α₃), pyrohedron, triangle pyramid, digonal antiprism, smaller Delone cell of face-centered cubic (fcc) lattice, regular line-scalene, regular (point-)tettene	`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	4D	grand stellated hecatonicosachoron	`0.618034`
gax	4D	grand hexacosachoron	`0.618034`
...	4D	gax+gashi+120gid (?)	`0.618034`
...	4D	gax+gofix (?)	`0.618034`
gikepy	4D	great-icosahedral pyramid, vertex cap of gax	`0.618034`
gishi	4D	great stellated hecatonicosachoron	`0.618034`
...	4D	gishi+gashi (?)	`0.618034`
gisp	4D	great swirlprism	`0.618034`
gofix	4D	great icosahedral hecatonicosachoron, great faceted hexacosichoron	`0.618034`
...	4D	gofix+gishi+120gid (?)	`0.618034`
padiap	4D	prismatic double inverted antiprism, pentagrammic double antiprismoid	`0.618034`
stappypy, 5/2pyr-pyr	4D	pentagram-pyramidal pyramid, pentagram-scalene, 5 tet two-step rosette	`0.618034`
...	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 simplex (α₄), 5-cell, pyrochoron, tetrahedral pyramid, triangle-pyramidal pyramid, regular triangle-scalene, regular line-tettene, regular (point-)pennene, 3 tet rosette	`0.632456`
sted	4D	stellated decachoron, compound of 2 pen	`0.632456`
hix	5D	hexateron, 5D simplex (α₅), pyroteron, pentachoral pyramid, regular tet-scalene, regular triangle-tettene, regular line-pennene, regular (point-)hixene	`0.645497`
hop (old: hep)	6D	heptapeton, 6D simplex (α₆), pyropeton, hexateral pyramid	`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	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`
oca (old: oc)	7D	octaexon, 7D simplex (α₇), pyroexon, heptapetal pyramid	`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`
ene	8D	enneazetton, 8D simplex (α₈), pyrozetton, octaexal pyramid	`0.666667`
day	9D	decayotton, 9D simplex (α₉), pyroyotton, enneazettal pyramid	`0.670820`
ux	10D	hendecaxennon, undecaxennon, 10D simplex (α₁₀), pyroxennon, decayottal pyramid	`0.674200`
quit gogishi	4D	quasitruncated great grand stellated hecatonicosachoron	`0.677481`
...	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`
dasi	3D	disnub icosahedron, compound of 20 oct (but not addasi)	`0.707107`
dissit	3D	disnub tetrahedron, compound of 4 oct	`0.707107`
doso	3D	disnub octahedron, compound of 8 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	3D	octahedron, rectified tetrahedron, tricross (β₃), tetratetrahedron, aerohedron, trigonal antiprism, larger Delone cell of face-centered cubic (fcc) lattice, equatorial cross-section of (vertex first) 1/q-tes	`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	`0.707107`
...	4D	2hex+8oct (?)	`0.707107`
...	4D	2tho (?)	`0.707107`
...	4D	2tho+24{4} (?)	`0.707107`
haddet	4D	demidistesseract, compound of 2 hex	`0.707107`
hex, K-4.2	4D	hexadecachoron, tetracross (β₄), hemitesseract, hemioctachoron, 16-cell, aerochoron, tetrahedral antiprism	`0.707107`
...	4D	hex+8oct (?)	`0.707107`
octpy, K-4.3	4D	octahedral pyramid, half of hex (its vertex-first rotunda)	`0.707107`
squippypy, 4pyr-pyr, K-4.4	4D	square-pyramidal pyramid, quarter of hex, square-scalene, 4 tet rosette	`0.707107`
stico	4D	stellated icositetrachoron, compound of 3 hex	`0.707107`
tho	4D	tesseractihemioctachoron, octahemioctachoron	`0.707107`
tac	5D	triacontiditeron, pentacross (β₅), aeroteron, pentachoral antiprism	`0.707107`
gee (old: xic)	6D	hexacontitetrapeton, hexacross (β₆), aeropeton, hexateral antiprism	`0.707107`
zee (old: hio)	7D	hecatonicosoctaexon, heptacross (β₇), aeroexon, heptapetal antiprism	`0.707107`
ek	8D	diacosipentacontahexazetton, octacross (β₈), aerozetton, octaexal antiprism	`0.707107`
vee	9D	pentacosidodecayotton, enneacross (β₉), aeroyotton, enneazettal antiprism	`0.707107`
ka	10D	chilliaicositetraxennon, decacross (β₁₀), aeroxennon, decayottal antiprism	`0.707107`
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`
...	3D	orthogonal blend of pentagagramic prisms, vertex figure of gadsadox	`0.725530`
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`
...	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`
gippapivady	4D	great pentagrammal antiprismatoverted dishecatonicosachoron	`0.726543`
graphi	4D	grand retropental hecatonicosachoron	`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`
gissiddip	4D	great-stellated-dodecahedron prism	`0.732444`
gocco	3D	great cubicuboctahedron	`0.736813`
groh	3D	great rhombihexahedron	`0.736813`
...	3D	groh+8{6/2} (?)	`0.736813`
querco	3D	quasirhombicuboctahedron, great rhombicuboctahedron (but not girco)	`0.736813`
raquahri	3D	rhombiquasihyperhombicosicosahedron, compound of 5 gocco	`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	stellated octagonal prism, 8/3-prism, 8-prism with winding number 3	`0.736813`
stardip	4D	pentagram-pentagram duoprism	`0.743496`
hossdap	4D	hollow small stellated dodecahedral antiprism, pseudo sissid atop pseudo sissid	`0.754386`
stastodip	4D	pentagram - octagram duoprism	`0.754511`
...	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	`0.763763`
tutrip	3D	gyrated blend of 2 digonal cupola, Phillips head	`0.763763`
gixhihy	4D	great hexacosihecatonicosihecatonicosachoron	`0.763932`
quidpixhi	4D	quasidisprismatohexacosihecatonicosachoron	`0.763932`
sixhihy	4D	small hexacosihecatonicosihecatonicosachoron	`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`
..., K-4.6	4D	triangle oct wedge, {3} \|\| gyro trip, {3} \|\| oct	`0.774597`
..., K-4.8	4D	square - tetrahedral wedge, digonal gyrobicupolaic ring, {4} \|\| tet, line \|\| ortho trip	`0.774597`
...	4D	2firp (?)	`0.774597`
...	4D	2rap (?)	`0.774597`
...	4D	2rap+20tet (?)	`0.774597`
firp	4D	faceted rectified pentachoron	`0.774597`
...	4D	firp+rap+15{4} (?)	`0.774597`
pinnip	4D	prismatointercepted pentachoron	`0.774597`
...	4D	pinnip+5 2thah (?)	`0.774597`
rap (old: rip), K-4.5	4D	rectified pentachoron, tetrahedral cupola	`0.774597`
trippy, K-4.7	4D	trigonal-prismatic pyramid, vertex pyramid of the rectified pentachoron	`0.774597`
tepe, K-4.9	4D	tetrahedron prism, line \|\| trip, square - square bi-wedge, digonal orthobicupolaic ring	`0.790569`
hin	5D	hemipenteract, demipenteract	`0.790569`
...	5D	bidiminished hemipenteract, oct \|\| hex, tet \|\| rap	`0.790569`
wavinant	5D	sphenoverted penteractipenteractitriacontaditeron	`0.792893`
grassid	3D	great rhombisnub dodecahedron, compound of 6 stiddip	`0.794963`
stiddip	3D	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`
qrahi	4D	quasirhombated hecatonicosachoron	`0.799575`
penp	5D	pentachoron prism	`0.806226`
stastidedip	4D	pentagram - decagram duoprism	`0.811393`
triddip, K-4.10	4D	triangle-triangle duoprism, triangle - trip wedge	`0.816497`
rix	5D	rectified hexateron	`0.816497`
hixip	6D	hexateron prism	`0.816497`
jak	6D	icosiheptaheptacontidipeton, Gosset polypeton 2_1,2	`0.816497`
...	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	`0.823754`
quit gissiddip	4D	quasitruncated-great-stellated-dodecahedron prism	`0.826058`
ocpe	8D	octaexon prism	`0.829156`
enep	9D	enneazetton prism	`0.833333`
tratet	5D	triangle - tetrahedron duoprism	`0.841625`
ril (old: riss)	6D	rectified heptapeton	`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	`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 (ditrigonal) rhombidodecadodecahedron	`0.866025`
cube, 4-p	3D	cube, hexahedron, 3D measure-polytope (γ₃), geohedron, square prism, triangular antitegum, Voronoi cell of primitive cubical lattice, Delone cell of primitive cubical lattice	`0.866025`
ditdid	3D	ditrigonal dodecadodecahedron	`0.866025`
...	3D	ditdid+gidtid (?)	`0.866025`
gicdatrid	3D	great complex (ditrigonal) rhombicosidodecahedron	`0.866025`
gidtid	3D	great ditrigonal icosidodecahedron	`0.866025`
rah	3D	rhombihexahedron, compound of 3 cube	`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 (ditrigonal) rhombicosidodecahedron	`0.866025`
sidtid	3D	small ditrigonal icosidodecahedron	`0.866025`
...	3D	sidtid+ditdid (?)	`0.866025`
...	3D	sidtid+ditdid+gidtid (?)	`0.866025`
...	3D	sidtid+gidtid (?)	`0.866025`
stiscu	3D	pentagrammic cuploid, star semicupola	`0.866025`
ope, K-4.11	4D	octahedron prism	`0.866025`
squippyp, K-4.12	4D	square-pyramidal prism, J1 prism, line \|\| cube, digonal magnabicupolaic ring	`0.866025`
trip \|\| refl ortho trip	4D	3-prism atop reflected ortho 3-prism	`0.866025`
dot	5D	dodecateron, birectified hexateron, equatorial cross-section of (vertex first) 1/q-ax	`0.866025`
hexip	5D	hexadecachoron prism	`0.866025`
hax	6D	hemihexeract	`0.866025`
taccup	6D	triacontiditeron prism	`0.866025`
tetdip	6D	tetrahedron-tetrahedron duoprism	`0.866025`
geep	7D	hexacontitetrapeton prism, hexacross prism	`0.866025`
naq	7D	hecatonicosihexapentacosiheptacontihexaexon, Gosset polyexon 3_1,2	`0.866025`
roc	7D	rectified octaexon	`0.866025`
trahix	7D	triangle - hexateron duoprism	`0.866025`
zeep	8D	hecatonicosoctaexon prism	`0.866025`
ekip	9D	diacosipentacontahexazetton prism	`0.866025`
trihop	8D	triangle - heptapenton duoprism	`0.872872`
...	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`
..., oct \|\| cube, K-4.15	4D	octahedron atop cube, octahedral antiprism, cubical antiprism	`0.879465`
tetpen	7D	tetrahedron-pentachoron duoprism	`0.880341`
rene	8D	rectified enneazetton	`0.881917`
...	3D	f v3o, variation of triangular prism, vertex figure of rectified great grand hecatonicosachoron	`0.884212`
tethix	8D	tetrahedron-hexateron duoprism	`0.889757`
gittith	4D	great tesseractitesseractihexadecachoron	`0.890446`
goccope	4D	great-cubicuboctahedron prism	`0.890446`
gondip	4D	great octagonal spinoduoprism	`0.890446`
quercope	4D	quasirhombicuboctahedron prism	`0.890446`
quidpith (old: qippith)	4D	quasi(dis)prismatotesseractihexadecachoron	`0.890446`
sistodip	4D	square - octagram duoprism	`0.890446`
reday	9D	rectified decayotton	`0.894427`
ru	10D	rectified hendecaxennon, rectified undecaxennon	`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	q x3o, variation of triangular prism, vertex figure of rectified tesseract	`0.912871`
tisdip, K-4.18	4D	triangle - square duoprism, square - cube wedge	`0.912871`
troct	5D	triangle-octahedron duoprism	`0.912871`
trahex	6D	triangle - hexadecachoron duoprism	`0.912871`
trigee	8D	triangle - hexacontitetrapeton duoprism	`0.912871`
fawdint	5D	frustisphenary dispenteractitriacontaditeron, fastegiverted dispenteractitriacontaditeron	`0.914214`
rappip	5D	rectified-pentachoron prism	`0.921954`
bril (old: driss)	6D	birectified heptapeton	`0.925820`
...	3D	x3v3o, variation of truncated tetrahedron, vertex figure of dattady	`0.935414`
...	4D	q x3o3o, variation of tetrahedron prism, vertex figure of rectified penteract	`0.935414`
squatet	5D	square-tetrahedron duoprism	`0.935414`
hinnip	6D	hemipenteractic prism	`0.935414`
tetoct	6D	tetrahedron-octahedron duoprism	`0.935414`
hesa (old: hiss)	7D	hemihepteract	`0.935414`
tethex	7D	tetrahedron - hexadecachoron duoprism	`0.935414`
tettac	8D	tetrahedron-triacontiditeron duoprism	`0.935414`
...	5D	q x3o3o3o, variation of pentachoron prism, vertex figure of rectified hexeract	`0.948683`
squapen	6D	square-pentachoron duoprism	`0.948683`
octpen	7D	octahedron - pentachoron duoprism	`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	3ike+gad (?)	`0.951057`
...	3D	4ike+2gad (?)	`0.951057`
...	3D	5ike+gad (?)	`0.951057`
cid	3D	small complex icosidodecahedron	`0.951057`
gad	3D	great dodecahedron	`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, hydrohedron	`0.951057`
...	3D	ike+3gad (?)	`0.951057`
mibdi, J62	3D	metabidiminished icosahedron	`0.951057`
pap	3D	pentagonal antiprism, para-bidiminished icosahedron	`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`
siddo	3D	snub disoctahedron, octahedral compound of 2 ike	`0.951057`
sne	3D	snub icosiicosahedron, compound of 5 ike	`0.951057`
teddi, J63	3D	tridiminished icosahedron, vertex figure of sadi	`0.951057`
...	4D	4ike+gad (?)	`0.951057`
quit gashi	4D	quasitruncated grand stellated hecatonicosachoron	`0.953850`
quit gishi	4D	quasitruncated great stellated hecatonicosachoron	`0.953850`
...	3D	x q3o, variation of triangular prism, vertex figure of rectified icositetrachoron	`0.957427`
tratrip (old: triddippip)	5D	triangle triangular-prism duoprism, triangle-triangle duoprismatic prism	`0.957427`
rixip	6D	rectified-hexateron prism	`0.957427`
jakip	7D	icosihepta-heptacontidi-peton prism	`0.957427`
squahix	7D	square - hexateron duoprism	`0.957427`
squappip, K-4.19	4D	square-antiprism prism	`0.962692`
squahop	8D	square - heptapenton duoprism	`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	`0.966092`
broc (old: droc)	7D	birectified octaexon, duorectified octaexon	`0.968246`
...	3D	v3x3o, variation of truncated tetrahedron, vertex figure of sidtaxhi	`0.975835`
tratepe	6D	triangle-tetrahedron-duoprism prism	`0.978945`
trahin	7D	triangle - hemipenteract duoprism	`0.978945`
rillip	7D	rectified-heptapeton prism	`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`
...	3D	orthogonal blend of pentagonal prisms, vertex figure of sadsadox	`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`
...	3D	x f5/2o, variation of 5/2-prism, vertex figure of rofix	`0.986715`
tetrap	7D	tetrahedron - rectified-pentachoron duoprism	`0.987421`
quitsissiddip	4D	quasitruncated-small-stellated-dodecahedron prism, small-stellated-truncated-dodecahedron prism	`0.988665`
trippen	7D	triangle - pentachoron duoprism-prism	`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.: rotet)	3D	cuboctahedron, rhombitetratetrahedron, rectified cube, rectified octahedron, cantellated tetrahedron, trigonal gyrobicupola	`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	`1`
tricu, J3	3D	triangular cupola, half of cuboctahedron	`1`
..., cube \|\| ike, K-4.21	4D	cube atop icosahedron	`1`
..., K-4.27	4D	hexagon - octahedral wedge, triangular gyrobicupolaic ring, {6} \|\| oct, {3} \|\| gyrated tricu, 1/6-luna of ico	`1`
..., oct \|\| co, K-4.29	4D	octahedron atop cuboctahedron, half of icositetrachoron (its oct-first rotunda)	`1`
..., oct \|\| tricu, K-4.30	4D	octahedron atop trigonal cupola, 2/6-luna of icositetrachoron	`1`
..., tet \|\| co, K-4.23	4D	tetrahedron atop cuboctahedron, half of small prismatodecachoron, tetrahedral cap of small prismatodecachoron	`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	2sifdahihox (?)	`1`
...	4D	2sishi (?)	`1`
...	4D	2sishi+2paphicki (?)	`1`
...	4D	2tes (?)	`1`
...	4D	hexagon - triangle-prismatic wedge, triangle orthobicupolaic ring, {6} \|\| trip, {3} \|\| tricu	`1`
...	4D	6tes (?)	`1`
chi	4D	chirohecatonicosachoron, chiral compound of 5 ico	`1`
cubpy, K-4.26	4D	cubical pyramid, vertex-pyramid of ico	`1`
didhi	4D	dodecahedronary dishecatonicosachoron	`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	`1`
gadixhix (old: gixhix)	4D	great dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not sadixhix)	`1`
gaghi	4D	great grand hecatonicosachoron	`1`
...	4D	gaghi+didhi (?)	`1`
...	4D	gaghi+idhi (?)	`1`
...	4D	gaghi+paphacki+sridaphi (?)	`1`
...	4D	gaghi+sridixhi (?)	`1`
ghahoh	4D	great hexadecahemihexadecachoron	`1`
gico	4D	great icositetrachoron, compound of 3 tes	`1`
...	4D	gico+8co+16 2thah (?)	`1`
gidtiddip	4D	great-ditrigonal-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`
hodho	4D	hexadecoctidishemioctachoron	`1`
hoh honho	4D	hexadecoctihemihexadekintercepted hemioctachoron	`1`
hohoh	4D	hexadecoctihemihexadecachoron	`1`
huhoh	4D	hexadecahemihexadecachoron	`1`
ico	4D	icositetrachoron, 24-cell, xylochoron, rectified hexadecachoron, birectified tesseract	`1`
...	4D	ico+gico+72{4} (?)	`1`
...	4D	ico+gico+24co (?)	`1`
idhi	4D	invertidodecahedronary hecatonicosachoron	`1`
ididdip	4D	icosidodecadodecahedron prism	`1`
ihi	4D	icositetrahemiicositetrachoron	`1`
odho	4D	octidishemioctachoron	`1`
ofiddady	4D	omnifacetododecahedronary dishecatonicosachoron	`1`
oh	4D	octihemihexadecachoron	`1`
ohuhoh	4D	octihexadecahemihexadecachoron	`1`
paphacki	4D	pentagon-prismatic heptacosicosachoron, great prismasaurus	`1`
paphicki	4D	pentagram-prismatic heptacosicosachoron, small prismasaurus	`1`
piphid	4D	prismatopentahemidecachoron	`1`
...	4D	piphid+10tet (?)	`1`
ratho	4D	rectified tesseractihemioctachoron	`1`
sadixhix (old: sixhix)	4D	small dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not gadixhix)	`1`
shahoh	4D	small hexadecahemihexadecachoron	`1`
sidtiddip	4D	small-ditrigonal-icosidodecahedron prism	`1`
sidtixhi	4D	small ditrigonary hexacosihecatonicosachoron	`1`
...	4D	sidtixhi+dox (?)	`1`
sifdahihox	4D	small fissary dodecahedronary hecatonicosihemihexacosachoron	`1`
sishi	4D	small stellated hecatonicosachoron	`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`
sitpodady	4D	small (intersected) tripesic dodecahedronary dishecatonicosachoron	`1`
spid	4D	small prismatodecachoron, runcinated pentachoron	`1`
spidy	4D	swirlprismattic dishecatonicosachoron, compound of 24 starpedip	`1`
sridaphi	4D	small retroinverted dodecahedronary prismatohecatonicosachoron	`1`
sridixhi	4D	small retroinverted dodecahedronary hexacosahecatonicosachoron	`1`
starpedip (older: stipdip, oldest: starpendip)	4D	pentagram-pentagon duoprism, stellar (pentagonal) pentagonal diprism	`1`
stoc	4D	stellated tetracontoctachoron, compound of 2 ico	`1`
tes, K-4.20	4D	tesseract, octachoron, "hypercube", 4D measure-polytope (γ₄), 8-cell, geochoron	`1`
rat	5D	rectified triacontiditeron, rectified pentacross	`1`
scad (old: shad)	5D	small cellated dodecateron, small hedrated dodecateron, stericated hexateron	`1`
squoct	5D	square-octahedron duoprism	`1`
dotip	6D	dodecateron prism	`1`
mo	6D	pentacontitetrapeton, Gosset polypeton 1_2,2	`1`
octdip	6D	octahedron-octahedron duoprism	`1`
rag (old: ric)	6D	rectified hexacontitetrapeton	`1`
squahex	6D	square-hexadecachoron duoprism	`1`
staf (interim: stef)	6D	small terated tetradecapeton, pentellated heptapeton	`1`
trittip	6D	triangle-triangle-triangle-triprism	`1`
he (old: ache)	7D	hexadecaexon, trirectified octaexon, equatorial cross-section of (vertex first) 1/q-octo	`1`
laq	7D	pentacontihexapentacosiheptacontihexaexon, Gosset polyexon 2_1,3	`1`
rez (old: rhio)	7D	rectified hecatonicosoctaexon	`1`
suph	7D	small petated hexadecaexon, hexicated octaexon	`1`
brene	8D	birectified enneazetton	`1`
fy	8D	dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 4_1,2, Witting polytope	`1`
hocto	8D	hemiocteract	`1`
rek	8D	rectified diacosipentacontahexazetton	`1`
breday	9D	birectified decayotton	`1`
riv	9D	rectified pentacosidodecayotton	`1`
rake	10D	rectified chilliaicositetraxennon	`1`
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`
ginnont	5D	great penteractipenteractitriacontiditeron	`1.021221`
gwavathi	4D	great sphenoverted triakishecatonicosachoron	`1.027486`
querfix	4D	quasirhombated faceted hexacosachoron	`1.027486`
trapedip, K-4.34	4D	triangle - pentagon duoprism, pentagon - pip wedge	`1.028076`
..., 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`
petet	5D	pentagon-tetrahedron duoprism	`1.048144`
squarap	6D	square - rectified-pentachoron duoprism	`1.048809`
octrap	7D	octahedron - rectified-pentachoron duoprism	`1.048809`
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`
pendip	8D	pentachoron duoprism	`1.054093`
trene	8D	trirectified enneazetton	`1.054093`
garawv hixhi	4D	great retrosphenoverted hecatonicosihexacosihecatonicosachoron	`1.054256`
sirgax	4D	small rhombated grand hexacosachoron	`1.054256`
...	3D	x f3o, variation of triangular prism	`1.059565`
tetcube	6D	tetrahedron - cube duoprism	`1.060660`
henne	9D	demi-enneract	`1.060660`
...	3D	q3x4x, variation of girco, hull of quitco	`1.062393`
quitco	3D	quasitruncated cuboctahedron, great truncated cuboctahedron, stellatruncated cuboctahedron	`1.062393`
...	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	f x4o, variation of cube	`1.074481`
gaddip	4D	great-dodecahedron prism	`1.074481`
ipe, K-4.36	4D	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`
...	4D	tridiminished-icosahedron prism	`1.074481`
3,3,4-tip	6D	triangle-triangle-square triprism	`1.080123`
gaqrigafix	4D	great quasirhombated great faceted hexacosachoron	`1.080363`
giphado	4D	great prismatohexadecadisoctachoron	`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`
treday	9D	trirectified decayotton	`1.095445`
...	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`
rosi	3D	rhombisnub icosahedron, compound of 10 hip	`1.118034`
cope, K-4.43	4D	cuboctahedron prism	`1.118034`
diddip	4D	dodecadodecahedron prism	`1.118034`
ohope	4D	octahemioctahedron prism	`1.118034`
icope	5D	icositetrachoron prism	`1.118034`
pent	5D	penteract, decateron, 5D measure-polytope (γ₅), geoteron	`1.118034`
spiddip	5D	small-prismatodecachoron prism	`1.118034`
octcube	6D	octahedron-cube duoprism	`1.118034`
ratip	6D	rectified-triacontiditeron prism	`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	`1.118034`
hede	10D	demi-dekeract	`1.118034`
gaquapac	4D	great quasiprismatotetracontoctachoron	`1.127864`
tetike	6D	tetrahedron-icosahedron duoprism	`1.131154`
gidditdid	3D	great ditrigonal 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`
trapedippip	5D	triangle-pentagon duoprismatic prism	`1.143215`
...	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`
traco	5D	triangle - cuboctahedron duoprism	`1.154701`
tratess	6D	triangle - tesseract duoprism	`1.154701`
trico	6D	triangle - icositetrachoron duoprism	`1.154701`
tratac	7D	triangle - triacontiditeron duoprism	`1.154701`
triquip	8D	triangle-triangle-triangle-triangle-tetraprism (or: -quadprism)	`1.154701`
tiggipe	4D	truncated-great-icosahedron prism	`1.165943`
...	3D	2tut (?)	`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	`1.172604`
hatet (old: hittet)	5D	hexagon-tetrahedron duoprism	`1.172604`
tetco	6D	tetrahedron-cuboctahedron duoprism	`1.172604`
...	3D	f x5o, variation of pentagonal prism	`1.173932`
gichado	4D	great cubihexadecadisoctachoron	`1.174172`
paqrit	4D	prismatoquasirhombated tesseract	`1.174172`
quitcope	4D	quasitruncated-cuboctahedron prism	`1.174172`
...	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`
..., co \|\| tut, K-4.48	4D	cuboctahedron atop truncated tetrahedron, cuboctahedral cap of small rhombated pentachoron	`1.183216`
..., K-4.51	4D	triangle - hexagon-prismatic wedge, trigonal magnabicupolaic ring, {3} \|\| hip, {6} \|\| tricu	`1.183216`
..., oct \|\| tut, K-4.52	4D	octahedron atop truncated tetrahedron, octahedral cap of small rhombated pentachoron	`1.183216`
...	4D	2srip (?)	`1.183216`
...	4D	2srip+20{6}+40{3} (?)	`1.183216`
...	4D	2srip+20{6}+60{3} (?)	`1.183216`
...	4D	2srip+20trip (?)	`1.183216`
bidsrip	4D	bidiminished small rhombated pentachoron	`1.183216`
...	4D	bistratic trip-cap of srip, {3}-diminished small rhombated pentachoron	`1.183216`
pinnipdip	4D	pentaintercepted prismatodispentachoron, prismatopentaintercepted dispentachoron	`1.183216`
...	4D	pinnipdip+15{4} (?)	`1.183216`
pirpop	4D	pseudorhombated prismatopentachoron	`1.183216`
...	4D	pirpop+5 2thah (?)	`1.183216`
rawvtip	4D	retrosphenoverted triakispentachoron	`1.183216`
srip	4D	small rhombated pentachoron, cantellated pentachoron	`1.183216`
copen	7D	cuboctahedron - pentachoron duoprism	`1.183216`
squike	5D	square-icosahedron duoprism	`1.185120`
octike	6D	octahedron-icosahedron duoprism	`1.185120`
spix	5D	small prismated hexateron, runcinated hexateron	`1.190238`
wacbinant	5D	sphenary cellibiprismatopenteractipenteractitriacontaditeron	`1.192297`
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`
pedip	4D	pentagon-pentagon 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`
...	3D	u x4o, variation of cube	`1.224745`
..., tet \|\| tut, K-4.56	4D	tetrahedron atop truncated tetrahedron, tetrahedral cap of rectified tesseract	`1.224745`
...	4D	2firt (?)	`1.224745`
...	4D	2rit+64tet (?)	`1.224745`
firt	4D	facetorectified tesseract	`1.224745`
hinnit	4D	hexadekintercepted tesseract	`1.224745`
rit	4D	rectified tesseract, rectified octachoron, birectified hexadecachoron	`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`
tutcup, tut \|\| inv tut, K-4.55	4D	truncated tetrahedral cupoliprism, truncated tetrahedron atop inverted truncated tetrahedron, tetrahedrally medial part of rectified tesseract	`1.224745`
hoct	5D	hexagon octahedron duoprism	`1.224745`
nit	5D	penteractitriacontiditeron, birectified penteract, birectified triacontiditeron, birectified pentacross	`1.224745`
squaco	5D	square-cuboctahedron duoprism	`1.224745`
ax (old: hexe)	6D	hexeract, dodecapeton, 6D measure-polytope (γ₆), geopeton	`1.224745`
brag (old: dric)	6D	birectified hexacontitetrapeton	`1.224745`
octco	6D	octahedron-cuboctahedron duoprism	`1.224745`
squico	6D	square-icositetrachoron duoprism	`1.224745`
barz (old: drhio)	7D	birectified hecatonicosoctaexon	`1.224745`
octico	7D	octahedron - icositetrachoron duoprism	`1.224745`
bark	8D	birectified diacosipentacontahexazetton	`1.224745`
recto	8D	rectified octeract, rectified hexadecazetton	`1.224745`
brav	9D	birectified pentacosidodecayotton	`1.224745`
gaqri	4D	great quasirhombated icositetrachoron	`1.230739`
gidditdiddip	4D	great-ditrigonal-dodekicosidodecahedron prism	`1.239546`
giidip	4D	great-icosicosidodecahedron prism	`1.239546`
gixhi	4D	great hexacosihecatonicosachoron	`1.244649`
...	3D	x u3o, variation of triangular prism	`1.258306`
tracope	6D	triangle-cuboctahedron duoprismatic prism	`1.258306`
rawvhiddix	4D	retrosphenoverted hecatonicosadishexacosachoron	`1.258409`
wavdatixady	4D	sphenoverted ditrigonal hexacosadishecatonicosachoron	`1.258409`
tip	4D	truncated pentachoron	`1.264911`
tuttip, K-4.57	4D	truncated-tetrahedron prism	`1.274755`
siphin	5D	small prismated hemipenteract, runcinated demipenteract	`1.274755`
pike	5D	pentagon-icosahedron duoprism	`1.275976`
getitdin	5D	great tesseractitriacontidiadispenteract	`1.276197`
srippip	5D	small-rhombated-pentachoron prism	`1.284523`
...	3D	f v10o, variation of decagonal prism, hull of 10/3-prism	`1.286277`
cubike	6D	cube-icosahedron duoprism	`1.286277`
sarx	5D	small rhombated hexateron, cantellated hexateron	`1.290994`
rojak	6D	rectified icosiheptaheptacontidipeton	`1.290994`
tratut	5D	triangle truncated-tetrahedron duoprism	`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`
...	3D	2raded (?)	`1.322876`
cotco	3D	cuboctatruncated cuboctahedron, cubitruncated cuboctahedron	`1.322876`
ided	3D	icosidodecadodecahedron	`1.322876`
raded	3D	rhombidodecadodecahedron	`1.322876`
ri	3D	rhombicosahedron	`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`
rittip	5D	rectified-tesseract prism	`1.322876`
tix	5D	truncated hexateron	`1.322876`
cocube	6D	cuboctahedron-cube duoprism	`1.322876`
nitip	6D	penteractitriacontiditeron prism	`1.322876`
sochax	6D	small cellated hemihexeract, stericated demihexeract	`1.322876`
hept	7D	hepteract, tetradecaexon, 7D measure-polytope (γ₇), geoexon	`1.322876`
lin	7D	pentacontihexahecatonicosihexaexon, Gosset polyexon 1_2,3	`1.322876`
sco	7D	small cellated octaexon, stericated octaexon	`1.322876`
coqroc	4D	tetracontoctiquasirhombated tetracontoctachoron	`1.325654`
...	3D	f3o3x, variation of cuboctahedron	`1.327129`
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`
thaquitoth	4D	tesseractihexadecaquasitruncated tesseractihexadecachoron	`1.338990`
ikedip	6D	icosahedron-icosahedron duoprism	`1.344997`
giphidy	4D	great prismated hecatonicosadishecatonicosachoron	`1.348948`
quippirgashi	4D	quasiprismatorhombated grand stellated hecatonicosachoron	`1.348948`
trarit	6D	triangle - rectified-tesseract duoprism	`1.354006`
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`
oap, 8-ap	3D	octagonal antiprism	`1.375549`
hike	5D	hexagon icosahedron duoprism	`1.380039`
coike	6D	cuboctahedron-icosahedron duoprism	`1.380039`
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`
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	3D	small rhombicuboctahedron	`1.398966`
socco	3D	small cubicuboctahedron	`1.398966`
squacu, J4	3D	square cupola	`1.398966`
sroh	3D	small rhombihexahedron	`1.398966`
...	3D	sroh+8{6/2} (?)	`1.398966`
...	3D	w x4o, variation of cube	`1.398966`
...	3D	2doe (?)	`1.401259`
...	3D	3doe (?)	`1.401259`
...	3D	6doe (?)	`1.401259`
doe	3D	dodecahedron, cosmohedron	`1.401259`
gaqrit	4D	great quasirhombated tesseract	`1.401594`
starodip	4D	pentagram - octagon duoprism	`1.408368`
...	3D	u x6o, variation of hexagonal prism	`1.414214`
...	4D	2deca (?)	`1.414214`
...	4D	2dittafady (?)	`1.414214`
afdec	4D	antifrustic distetracontoctachoron	`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	`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`
haco (old: hicco)	5D	hexagon cuboctahedron duoprism	`1.414214`
rin	5D	rectified penteract	`1.414214`
sibrid (old: sadrid)	5D	small birhombated dodecateron, bicantellated hexateron	`1.414214`
brox (old: drax)	6D	birectified hexeract	`1.414214`
codip	6D	cuboctahedron-cuboctahedron duoprism	`1.414214`
sibpof	6D	small biprismated tetradecapeton, biruncinated heptapeton	`1.414214`
squarit	6D	square - rectified-tesseract duoprism	`1.414214`
trim (older: cacam, even older: tram, oldest: mak)	6D	trirectified pentacontitetrapeton (centrocellated pentacontitetrapeton, pentacontitetraheptacontidipeton)	`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	diacositetracont-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 2_1,4	`1.414214`
octo	8D	octeract, hexadecazetton, 8D measure-polytope (γ₈), geozetton	`1.414214`
tark	8D	trirectified diacosipentacontahexazetton	`1.414214`
tene	8D	truncated enneazetton	`1.414214`
tarv	9D	trirectified pentacosidodecayotton	`1.414214`
todip, K-4.59	4D	triangle - octagon duoprism, octagon - op wedge	`1.428440`
...	3D	x3q3o, variation of truncated tetrahedron	`1.442951`
otet	5D	octagon-tetrahedron duoprism	`1.442951`
..., co \|\| sirco, K-4.61	4D	cuboctahedron atop small rhombicuboctahedron, cuboctahedral cupola	`1.447009`
..., K-4.64	4D	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`
oike	5D	octagon-icosahedron duoprism	`1.453140`
seside	3D	small snub icosicosidodecahedron, snub disicosidodecahedron, holosnub icosahedron, hastur	`1.458190`
oappip, K-4.65	4D	octagonal-antiprism prism	`1.463603`
gixhidy	4D	great hexacosihecatonicosadishecatonicosachoron	`1.464888`
gohihix	4D	great hecatonicosihecatonicosihexacosachoron	`1.464888`
...	3D	q x8o, variation of octagonal prism	`1.485633`
..., cube \|\| sirco, K-4.71	4D	cube atop small rhombicuboctahedron, cubical cap of small disprismatotesseractihexadecachoron	`1.485633`
odop	4D	octagonal diorthoprism, compound of 2 sodip	`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	`1.485633`
soccope	4D	small-cubicuboctahedron prism	`1.485633`
sodip, K-4.70	4D	square - octagon duoprism	`1.485633`
steth	4D	small tesseractitesseractihexadecachoron	`1.485633`
stodop	4D	octagram diorthoprism, compound of 2 sistodip	`1.485633`
owoct	5D	octagon octahedron duoprism	`1.485633`
..., K-4.73	4D	octagon - cube wedge, 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`
decap	5D	decachoron prism	`1.500000`
rinnip	6D	rectified-penteract prism	`1.500000`
enne	9D	enneract, octadecayotton, 9D measure-polytope (γ₉), geoyotton	`1.500000`
trasirco	5D	triangle small-rhombicuboctahedron duoprism	`1.513420`
grawv hixhi	4D	great retrosphenoverted hecatonicosihexacosihecatonicosachoron	`1.513868`
sirgaghi	4D	small rhombated great grand hecatonicosachoron	`1.513868`
tradoe	5D	triangle - dodecahedron duoprism	`1.515539`
tetdoe	6D	tetrahedron-dodecahedron duoprism	`1.529224`
...	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`
bittix (old: dittox)	5D	bitruncated hexateron	`1.554563`
sabril	6D	small birhombated heptapeton, bicantellated heptapeton	`1.558387`
podip	4D	pentagon - octagon duoprism	`1.559075`
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`
squadoe	5D	square-dodecahedron duoprism	`1.569562`
octdoe	6D	octahedron-dodecahedron duoprism	`1.569562`
toe	3D	truncated octahedron, Voronoi cell of body-centered cubic (bcc) lattice	`1.581139`
...	4D	2thex (?)	`1.581139`
thex	4D	truncated hexadecachoron	`1.581139`
titho	4D	truncated tesseractihemioctachoron	`1.581139`
...	4D	half of truncated hexadecachoron	`1.581139`
tot	5D	truncated triacontiditeron, truncated pentacross	`1.581139`
rax	6D	rectified hexeract, rectified dodecapeton	`1.581139`
tag	6D	truncated hexacontatetrapeton	`1.581139`
thax	6D	truncated hemihexeract	`1.581139`
bersa (old: dars)	7D	birectified hepteract	`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-polytope (γ₁₀), geoxennon	`1.581139`
gaquidapixhi	4D	great quasidisprismatohexacosihecatonicosachoron	`1.581630`
..., 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`
tradope	6D	triangle-dodecahedron duoprismatic prism	`1.595888`
diquitdi	4D	disicositetraquasitruncated disicositetrachoron	`1.608038`
suti	4D	small tetrakisicositetrachoron	`1.608038`
thatpath	4D	tesseractihexadecatruncated prismatotesseractihexadecachoron	`1.608038`
..., tut \|\| toe, K-4.76	4D	truncated tetrahedron atop truncated octahedron, truncated-tetrahedral cap of prismatorhombated pentachoron	`1.612452`
...	4D	2prip (?)	`1.612452`
...	4D	bistratic co-cap of prip, tut-diminished prip	`1.612452`
pittip	4D	prismatotriakispentachoron	`1.612452`
prip	4D	prismatorhombated pentachoron, runcitruncated pentachoron	`1.612452`
...	3D	2id (?)	`1.618034`
...	3D	2id+40{3} (?)	`1.618034`
...	3D	2seihid (?)	`1.618034`
...	3D	2sidhid (?)	`1.618034`
id	3D	icosidodecahedron	`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`
seihid	3D	small icosihemidodecahedron	`1.618034`
sidhid	3D	small dodecahemidodecahedron	`1.618034`
..., doe \|\| id, K-4.77	4D	dodecahedron atop icosidodecahedron, dodecahedral cupola	`1.618034`
..., ike \|\| doe, K-4.78	4D	icosahedron atop dodecahedron,	`1.618034`
...	4D	1/10-luna of hexacosachoron	`1.618034`
...	4D	2/10-luna of hexacosachoron	`1.618034`
...	4D	2ex (?)	`1.618034`
...	4D	2ex+120ike (?)	`1.618034`
...	4D	2fix (?)	`1.618034`
...	4D	2gahi (?)	`1.618034`
...	4D	2gohi (?)	`1.618034`
...	4D	3/10-luna of hexacosachoron	`1.618034`
...	4D	4/10-luna of hexacosachoron	`1.618034`
bidex	4D	bi-icositetradiminished hexacosachoron	`1.618034`
ex	4D	hexacosachoron, 600-cell, hydrochoron	`1.618034`
...	4D	ex+fix (?)	`1.618034`
...	4D	ex+gohi+120id (?)	`1.618034`
fix	4D	icosahedral hecatonicosachoron, faceted hexacosichoron	`1.618034`
...	4D	fix+gahi+120id (?)	`1.618034`
gahi	4D	grand hecatonicosachoron	`1.618034`
...	4D	gahi+gohi (?)	`1.618034`
gap	4D	great antiprism, grand antiprism, pentagonal double antiprismoid	`1.618034`
gohi	4D	great hecatonicosachoron	`1.618034`
...	4D	icosiena-diminished vertex-first-rotunda of ex	`1.618034`
ikepy, K-4.84	4D	icosahedral pyramid, vertex cap of hexacosachoron	`1.618034`
pappy	4D	pentagon-antiprismatical pyramid	`1.618034`
peppypy, 5pyr-pyr, K-4.86	4D	pentagon-pyramidal pyramid, pentagon-scalene, 5 tet rosette	`1.618034`
...	4D	dodeca-diminished vertex-first rotunda of hexacosachoron	`1.618034`
...	4D	vertex-first rotunda of hexacosachoron	`1.618034`
sadi (alt.: idex)	4D	snub icositetrachoron, snub disicositetrachoron, semistruncated icositetrachoron, icositetradiminished hexacosachoron	`1.618034`
sisp	4D	small swirlprism	`1.618034`
sirhin	5D	small rhombated hemipenteract, cantellated demipenteract	`1.620185`
giphiddix	4D	great prismatohecatonicosadishexacosachoron	`1.624598`
gixipady	4D	great hexacosiprismatodishecatonicosachoron	`1.624598`
cappix (old: happix)	5D	celliprismated hexateron, cellitruncated hexateron, hedratoprismated hexateron, steritruncated hexateron	`1.632993`
hejak	6D	demified icosiheptaheptacontidipeton	`1.632993`
pedoe	5D	pentagon-dodecahedron duoprism	`1.639247`
hodip	4D	hexagon - octagon duoprism	`1.645329`
oco (old: occo)	5D	octagon cuboctahedron duoprism	`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 (older: scard, oldest: shard)	5D	(small) cellirhombated dodecateron, small hedratorhombated dodecateron, stericantellated hexateron	`1.658312`
thexip	5D	truncated-hexadecachoron prism	`1.658312`
sophax	6D	small prismated hemihexeract, runcinated demihexeract	`1.658312`
sabro	7D	small birhombated octaexon, bicantellated octaexon	`1.658312`
graggix	4D	great rhombated grand hexacosachoron	`1.658546`
qraghi	4D	quasirhombated grand hecatonicosachoron	`1.662508`
wavathi	4D	sphenoverted triakishecatonicosachoron	`1.662508`
dap, 10-ap	3D	decagonal antiprism	`1.674505`
gaqrigaghi	4D	great quasirhombated great grand hecatonicosachoron	`1.679184`
tratoe	5D	triangle truncated-octahedron duoprism	`1.683251`
prippip	5D	prismatorhombated-pentachoron prism	`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`
exip	5D	hexacosachoron prism	`1.693527`
gappip	5D	great-antiprism 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`
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`
sidditdid	3D	small ditrigonal dodekicosidodecahedron, small dodekified icosidodecahedron	`1.721489`
siddy	3D	small dodekicosahedron	`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`
codoe	6D	cuboctahedron-dodecahedron duoprism	`1.721489`
tetid	6D	tetrahedron-icosidodecahedron duoprism	`1.730039`
...	3D	u3x3o, variation of truncated tetrahedron	`1.732051`
...	3D	x3o4q, variation of small rhombicuboctahedron	`1.732051`
..., co \|\| toe, K-4.95	4D	cuboctahedron atop truncated octahedron, cuboctahedral cap of rectified icosatetrachoron	`1.732051`
...	4D	2frico (?)	`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	2sidditpix+2dithix (?)	`1.732051`
cytid rico	4D	cyclotridiminished rectified-icositetrachoron, metatridiminished rectified-icositetrachoron	`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`
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	`1.732051`
quitdiddip	4D	quasitruncated-dodecadodecahedron prism	`1.732051`
rawvhitto	4D	retrosphenoverted hexadecatesseractioctachoron	`1.732051`
rico	4D	rectified icosatetrachoron, cantellated hexadecachoron	`1.732051`
ridtidohi	4D	rectified ditrigonal dishecatonicosachoron	`1.732051`
riggidtixhi	4D	rectified great ditrigonal hexacosihecatonicosachoron	`1.732051`
rissidtixhi	4D	rectified small ditrigonal hexacosihecatonicosachoron	`1.732051`
sefdit dixdy	4D	small exofissary ditrigonal dihexacosadihecatonicosachoron	`1.732051`
siddit thix	4D	small ditrigonal trishecatonicosihexacosachoron	`1.732051`
sidditpix	4D	small ditrigonary prismatohexacosichoron	`1.732051`
sidthidy hi	4D	small ditrigonal hecatonicosadishecatonicosihecatonicosachoron	`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`
sart	5D	small rhombated triacontiditeron, cantellated pentacross	`1.732051`
squatoe (old: squato)	5D	square - truncated-octahedron duoprism	`1.732051`
fe	6D	tetradecapeton, tritruncated heptapeton, equatorial cross-section of (vertex first) q-hept	`1.732051`
ram	6D	rectified pentacontitetrapeton	`1.732051`
srog	6D	small rhombihexacontatetrapeton, cantellated hexacross	`1.732051`
rasa (old: ras)	7D	rectified hepteract	`1.732051`
rolaq	7D	rectified pentacontihexapentacosiheptacontihexaexon	`1.732051`
sarz	7D	small rhombated hecatonicosoctaexon, cantellated heptacross	`1.732051`
bro	8D	birectified octeract, birectified hexadecazetton	`1.732051`
riffy	8D	rectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t₁(4_1,2)	`1.732051`
srek	8D	small rhombated diacosipentacontahexazetton, cantellated octacross	`1.732051`
dappip, K-4.96	4D	decagonal-antiprism prism	`1.747560`
otut	5D	octagon - truncated-tetrahedron duoprism	`1.755593`
siidcup	4D	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`
sadixady	4D	small dishexacosadishecatonicosachoron	`1.773668`
sidthixhi	4D	small ditrigonal 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`
..., tic \|\| toe, K-4.98	4D	truncated cube atop truncated octahedron	`1.785406`
tridep	6D	triangle-icosidodecahedron duoprismatic prism	`1.789237`
...	3D	f3o4x, variation of small rhombicuboctahedron	`1.789732`
thatoth	4D	tesseractihexadecatruncated tesseractihexadecachoron	`1.790840`
sidditdiddip	4D	small-ditrigonal-dodekicosidodecahedron prism	`1.792631`
siidip	4D	small-icosicosidodecahedron prism	`1.792631`
ricope	5D	rectified-icositetrachoron prism	`1.802776`
shipady	4D	small hecatonicosiprismatodishecatonicosachoron	`1.814331`
sid thipady	4D	small ditrigonal hecatonicosiprismatodishecatonicosachoron	`1.814331`
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`
...	4D	2grip (?)	`1.843909`
grip	4D	great rhombated pentachoron, cantitruncated pentachoron	`1.843909`
..., K-4.105	4D	square - octagon-prismatic wedge, square magnabicupolaic ring, {4} \|\| op, {8} \|\| squacu, square-cap of srit	`1.847759`
..., oct \|\| sirco, K-4.107	4D	octahedron atop small rhombicuboctahedron, octahedral cap of small prismatotetracontoctachoron	`1.847759`
..., sirco \|\| tic, K-4.100	4D	small rhombicuboctahedron atop truncated cube, small-rhombicuboctahedral cap of small rhombated tesseract	`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`
garpit	4D	grand rhombated dishexadecachoron	`1.847759`
inpac	4D	icositetraintercepted prismatotetracontaoctachoron	`1.847759`
...	4D	inpac+72{4} (?)	`1.847759`
odip	4D	octagon-octagon duoprism	`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`
spic	4D	small prismatotetracontoctachoron, runcinated icositetrachoron	`1.847759`
spript	4D	small pseudorhombated prismatotesseract	`1.847759`
...	4D	spript+16 2thah (?)	`1.847759`
srit	4D	small rhombated tesseract, cantellated tesseract	`1.847759`
ticcup, K-4.99	4D	truncated-cube prism	`1.847759`
pattix	5D	prismatotruncated hexateron, runcitruncated hexateron	`1.848423`
catal	6D	cellitruncated heptapeton, steritruncated heptapeton	`1.851640`
tattoc	7D	tritruncated octaexon	`1.854050`
tratic	5D	triangle truncated-cube duoprism	`1.870173`
hatoe (old: hittoe)	5D	hexagon truncated-octahedron duoprism	`1.870829`
spat	5D	small prismated triacontiditeron, runcinated pentacross	`1.870829`
spog	6D	small prismatohexacontatetrapeton, 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	`1.870829`
...	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`
thin	5D	truncated hemipenteract	`1.903943`
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`
pirx	5D	prismatorhombated hexateron, runcicantellated hexateron	`1.914854`
shopjak	6D	small demiprismated icosiheptaheptacontidipeton	`1.914854`
odoe	5D	octagon - dodecahedron duoprism	`1.915889`
cral (old: scral)	6D	cellirhombated heptapeton, stericantellated heptapeton	`1.927248`
sirhax	6D	small rhombated hemihexeract, cantellated demihexeract	`1.936492`
branq (old: dranq)	7D	birectified hecatonicosihexapentacosiheptacontihexaexon	`1.936492`
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`
copal	6D	celliprismated heptapeton, steriruncinated heptapeton	`1.963961`
...	3D	w3x3o, variation of truncated tetrahedron	`1.973010`
scox	6D	small cellihexeract, stericated hexeract	`1.978437`
dodoe	6D	dodecahedron-dodecahedron duoprism	`1.981679`
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`
...	4D	gabbadipady+ganbathi (?), sanbathi+tigaghi (?)	`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`
iquatoc	4D	icositetraquasitruncated tetracontoctachoron	`2`
quit sishi	4D	quasitruncated small stellated hecatonicosachoron	`2`
sabbadipady	4D	small blendic disprismatodishecatonicosachoron	`2`
...	4D	sabbadipady+sanbathi (?), ganbathi+quitsishi (?)	`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 cellihexacontatetrapeton, stericated hexacross	`2`
tojak	6D	truncated icosiheptaheptacontidipeton	`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 1_2,4	`2`
ren	9D	rectified enneract, rectified octadecayotton	`2`
gibcotdin	5D	great biprismatocellitriacontadiadispenteract	`2.001839`
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`
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`
sitwadip	4D	square - dodecagon duoprism	`2.057195`
idtiddip	4D	icosidodecatruncated-icosidodecahedron prism, icositruncated-dodecadodecahedron prism	`2.061553`
odedip	4D	octagon-decagon duoprism	`2.079697`
oid	5D	octagon-icosidodecahedron duoprism	`2.079697`
...	3D	x3x3u, variation of truncated octahedron	`2.091650`
grawv ditathi	4D	great retrosphenoverted ditrigonary triakishecatonicosachoron	`2.093315`
swavathi	4D	small sphenoverted triakishecatonicosachoron	`2.093315`
gril	6D	great rhombated heptapeton, cantitruncated heptapeton	`2.104417`
pril	6D	prismatorhombated heptapeton, runcicantellated heptapeton	`2.104417`
...	3D	x3w3o, variation of truncated tetrahedron	`2.120453`
...	3D	o3x4q, variation of truncated cube, hull of sno	`2.121320`
...	4D	2tah (?)	`2.121320`
tah	4D	tesseractihexadecachoron, bitruncated tesseract, bitruncated hexadecachoron	`2.121320`
bittit	5D	bitruncated triacontiditeron	`2.121320`
botag	6D	bitruncated hexacontatetrapeton, bitruncated hexacross	`2.121320`
iddoe	6D	icosidodecahedron-dodecahedron duoprism	`2.140458`
gidhiquit paddy	4D	great dishecatonicosaquasitruncated prismatodishecatonicosachoron	`2.140933`
otbott	4D	octagonnally tetrablended truncated tesseract	`2.149726`
tat	4D	truncated tesseract	`2.149726`
pirhin	5D	prismatorhombated hemipenteract, runcicantellated demipenteract	`2.150581`
harjak (old: trojak)	6D	demirectified icosiheptaheptacontidipeton (trirectified icosiheptaheptacontidipeton)	`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`
shilq	7D	small demified pentacontihexapentacosiheptacontihexaexon	`2.179449`
tanq	7D	truncated hecatonicosihexapentacosiheptacontihexaexon	`2.179449`
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`
...	3D	2srid (?)	`2.232951`
dirid, J76	3D	diminished rhombicosidodecahedron	`2.232951`
gyrid, J72	3D	gyrated rhombicosidodecahedron	`2.232951`
mabgyrid, J74	3D	metabigyrated rhombicosidodecahedron	`2.232951`
mabidrid, J81	3D	metabidiminished 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`
sird	3D	small rhombidodecahedron	`2.232951`
...	3D	sird+12{10/2} (?)	`2.232951`
...	3D	sird+20{6/2} (?)	`2.232951`
srid	3D	small rhombicosidodecahedron	`2.232951`
tedrid, J83	3D	tridiminished rhombicosidodecahedron	`2.232951`
...	3D	u3x4o, variation of truncated octahedron	`2.236068`
affixthi	4D	antifrustic hexacositrishecatonicosachoron	`2.236068`
afpox	4D	antifustric prismatohexacosachoron, compound of 60 gippid	`2.236068`
gippid	4D	great prismatodecachoron	`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`
sibrant	5D	small birhombated penteractitriacontiditeron, bicantellated penteract, bicantellated pentacross	`2.236068`
siborg	6D	small birhombated hexacontatetrapeton, bicantellated hexacross	`2.236068`
spam (old: skopam)	6D	small prismated pentacontitetrapeton (small hebdomecontadiaprismated pentacontitetrapeton)	`2.236068`
tactaf	6D	tericellitruncated tetradecapeton, pentisteritruncated heptapeton	`2.236068`
spox	6D	small prismated hexeract, runcinated hexeract	`2.263033`
...	4D	2sadtifady (?)	`2.288246`
...	4D	2sitphi (?)	`2.288246`
dadip (old: dedip)	4D	decagon-decagon duoprism	`2.288246`
saddiddip	4D	small-dodekicosidodecahedron prism	`2.288246`
sadtap	4D	small ditetrahedronary prismatochoron, compound of 36 dadip	`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`
trasrid	5D	triangle - small-rhombicosidodecahedron duoprism	`2.306383`
girco	3D	great rhombicuboctahedron (but not querco), truncated cuboctahedron	`2.317611`
ditdi	4D	disicositetratruncated disicositetrachoron	`2.326846`
guti	4D	great tetrakisicositetrachoron	`2.326846`
thaquitpath	4D	tesseractihexadecaquasitruncated prismatotesseractihexadecachoron	`2.326846`
cograx (older: gocrax, oldest: goharx)	5D	celligreatorhombated hexateron (great cellirhombated hexateron, great hedratorhombated hexateron), stericanitruncated hexateron	`2.327373`
tocral (old: stocral)	6D	tericellirhombated heptapeton, pentiruncitruncated heptapeton	`2.329929`
otwadip	4D	octagon - dodecagon duoprism	`2.332200`
squasrid	5D	square - small-rhombicosidodecahedron duoprism	`2.342236`
sobpoxog	6D	small biprismated hexeractihexacontatetrapeton, biruncinated hexeract, biruncinated hexacross	`2.345208`
hixquitixhi	4D	hecatonicosihexacosiquasitruncated hexacosihecatonicosachoron	`2.351141`
sixathi	4D	small hexacositriakishecatonicosachoron	`2.351141`
...	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`
...	4D	bistratic cap of prismatorhombated tesseract, rhombicuboctahedral rotunda	`2.370932`
pithin	5D	prismatotruncated hemipenteract, runcitruncated demipenteract	`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`
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`
hasrid	5D	hexagon - small-rhombicosidodecahedron duoprism	`2.446644`
doc	4D	distetracontoctachoron	`2.449490`
barm (older: scram, even older: bram, again older: remak, oldest kram)	6D	birectified pentacontitetrapeton (small centrorhombated pentacontitetrapeton)	`2.449490`
taporf (old: staporf)	6D	teriprismatorhombitetradecapeton, pentiruncicantellated heptapeton	`2.449490`
rolin (old: lanq)	7D	rectified pentacontihexahecatonicosihexaexon, pentacontihexahecatonicosihexapentacosiheptacontihexaexon	`2.449490`
borfy	8D	birectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t₂(4_1,2)	`2.449490`
tan	5D	truncated penteract	`2.465447`
tacox	6D	tericellated hexeract, pentitruncated hexacross	`2.474130`
...	3D	2ti (?)	`2.478019`
ti	3D	truncated icosahedron, buckyball	`2.478019`
hixquitphix	4D	hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosachoron	`2.483382`
..., ti \|\| srid, K-4.126	4D	truncated icosahedron atop small rhombicosidodecahedron	`2.485450`
padohi	4D	prismatodishecatonicosachoron	`2.497212`
prissi	4D	prismatorhombisnub icositetrachoron, prismato-semistruncated icositetrachoron	`2.497212`
sidipthi	4D	small dipental trishecatonicosachoron	`2.497212`
sidpixathi	4D	small dipentagonal hexacositrihecatonicosachoron	`2.497212`
sisdipthi	4D	small stellated dipental trishecatonicosachoron	`2.497212`
srox	6D	small rhombated hexeract, cantellated hexeract	`2.515637`
hagirco (old: higgirco)	5D	hexagon great-rhombicuboctahedron duoprism	`2.524147`
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`
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`
osrid	5D	octagon - small-rhombicosidodecahedron duoprism	`2.587117`
captal	6D	celliprismatotruncated heptapeton, steriruncitruncated heptapeton	`2.591194`
...	3D	q3o5x, variation of srid	`2.601518`
...	3D	o3x4u, variation of truncated cube	`2.613126`
..., co \|\| tic, K-4.129	4D	cuboctahedron atop truncated cube, cuboctahedral cap of small rhombated icositetrachoron	`2.613126`
..., tic \|\| girco, K-4.128	4D	truncated cube atop great rhombicuboctahedron, truncated-cubical cap of prismatorhombated hexadecachoron, cuboctahedral supra-cap of small rhombated icositetrachoron	`2.613126`
...	4D	2proh (?)	`2.613126`
...	4D	2srico (?)	`2.613126`
...	4D	2srico+144{8}+576{3} (?)	`2.613126`
...	4D	2srico+192trip (?)	`2.613126`
proh	4D	prismatorhombated hexadecachoron, prismatotruncated tesseract, runcitruncated tesseract	`2.613126`
rawvaty	4D	retrosphenoverted triakisicositetrachoron	`2.613126`
siphado	4D	small prismatohexadecadisoctachoron	`2.613126`
srico	4D	small rhombated icositetrachoron, cantellated icositetrachoron	`2.613126`
cagral (old: gacral)	6D	celligreatorhombated heptapeton, stericantitruncated heptapeton	`2.618615`
...	3D	x3x4q, variation of great rhombicuboctahedron	`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 ditrigonal dishecatonicosachoron	`2.645751`
tiggidtixhi	4D	truncated great ditrigonal hexacosihecatonicosachoron	`2.645751`
tissidtixhi	4D	truncated small ditrigonal hexacosihecatonicosachoron	`2.645751`
gart	5D	great rhombated triacontiditeron, cantitruncated pentacross	`2.645751`
grog	6D	great rhombihexacontatetrapeton, cantitruncated hexacross	`2.645751`
saborx	6D	small birhombated hexeract, bicantellated hexeract	`2.645751`
tim	6D	truncated pentacontitetrapeton	`2.645751`
talq	7D	truncated pentacontihexapentacosiheptacontihexaexon	`2.645751`
robay	8D	rectified diacositetracont-myriaheptachiliadiacosioctaconta-zetton, t₁(2_1,4)	`2.645751`
thocto	8D	truncated hemiocteract	`2.645751`
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`
recarnit	5D	retrocellirhombated penteractitriacontaditeron	`2.660531`
sricope (old: sripe)	5D	small-rhombated-icositetrachoron prism, cantellated-icositetrachoron prism	`2.660531`
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`
twaddip	4D	dodecagonal-dodecagonal duoprism	`2.732051`
pattit	5D	prismatotruncated triacontiditeron, runcitruncated pentacross	`2.738613`
potag	6D	prismatotruncated hexacontatetrapeton, runcitruncated hexacross	`2.738613`
tox	6D	truncated hexeract	`2.745093`
girhin	5D	great rhombated hemipenteract, cantitruncated demipenteract	`2.761340`
...	3D	f3o5x, variation of srid, hull of siid, hull of quit gissid	`2.785428`
oti	5D	octagon - truncated-icosahedron duoprism	`2.801372`
...	4D	2firsashi (?)	`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`
gik vipathi	4D	great skewverted prismatotriakishecatonicosachoron	`2.828427`
iquatpic	4D	icositetraquasitruncated prismatotetracontoctachoron	`2.828427`
sik vipathi	4D	small skewverted prismatotriakishecatonicosachoron	`2.828427`
catog	6D	cellitruncated hexacontatetrapeton, steritruncated hexacross	`2.828427`
capt	5D	celliprismated triacontiditeron, steritruncated penteract	`2.878460`
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 hexacontatetrapeton, penticantellated hexeract	`2.921564`
botajik	6D	bitruncated icosiheptaheptacontidipeton	`2.943920`
...	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	`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`
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`
gibpof	6D	great biprismated tetradecapeton, biruncicantitruncated heptapeton	`3`
prog	6D	prismatorhombated hexacontatetrapeton, runcicantellated hexacross	`3`
sabrim (older: pirm, even older: sirmak, oldest: 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`
tratid	5D	triangle - truncated-dodecahedron duoprism	`3.025056`
...	3D	f3x5o, variation of ti, hull of tigid, hull of gaddid	`3.036797`
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`
..., id \|\| srid, K-4.131	4D	icosidodecahedron atop small rhombicosidodecahedron, icosidodecahedron cupola	`3.077684`
..., ike \|\| id, K-4.137	4D	icosahedron atop icosidodecahedron, icosahedral cap of rectified hexacosachoron, icosahedral cupola	`3.077684`
..., K-4.133	4D	decagon - pentagonn-antiprismatic wedge, pentagonal gyrobicupolaic ring, {10} \|\| pap, {5} \|\| gyrated pecu	`3.077684`
...	4D	2rox (?)	`3.077684`
...	4D	2rox+1440{5}+2400{3} (?)	`3.077684`
...	4D	2sophi (?)	`3.077684`
...	4D	2sprapivady (?)	`3.077684`
frox	4D	faceted rectified hexacosichoron	`3.077684`
...	4D	frox+600 2thah (?)	`3.077684`
ipixady	4D	invertopental hexacosadishecatonicosachoron	`3.077684`
lifpipixhi	4D	polar facetopental prismatohexacosahecatonicosachoron	`3.077684`
nipixady	4D	intercepted invertopental hexacosadishecatonicosachoron	`3.077684`
pippy, K-4.141	4D	pentagonal-prismatic pyramid, vertex pyramid of the 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	4D	swirlprismatodiminished rectified hexacosachoron	`3.077684`
sprapivady	4D	small pentagonal retroprismatoverted dishecatonicosachoron	`3.077684`
sriphi	4D	small retropental hecatonicosachoron	`3.077684`
crag (old: scrag)	6D	cellirhombated hexacontatetrapeton, stericantellated hexacross	`3.082207`
tagopal (old: gatopal)	6D	terigreatoprismated heptapeton, pentiruncicantitruncated heptapeton	`3.116775`
roxip	5D	rectified-hexacosachoron prism	`3.118034`
tacog	6D	tericellated hexacontatetrapeton, pentitruncated hexeract	`3.121320`
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 ditrigonal hecatonicosihexacosihecatonicosachoron	`3.139124`
squarox	6D	square - rectified-hexacosachoron duoprism	`3.157869`
torfy	8D	trirectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t₃(4_1,2)	`3.162278`
...	3D	w3x4x, variation of girco, hull of cotco	`3.193704`
mipthi	4D	medial prismatotriakishecatonicosachoron	`3.199386`
paqraghi	4D	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`
otid	5D	octagon - truncated-dodecahedron duoprism	`3.244185`
giphin	5D	great prismated hemipenteract	`3.259601`
crax (old: scrax)	6D	(small) cellirhombated hexeract, stericantellated hexeract	`3.277597`
ranq	7D	rectified hecatonicosihexapentacosiheptacontihexaexon	`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 hexacontatetrapeton, steriruncinated hexacross	`3.316625`
sram (older: skobram, oldest 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 birhombihexacontatetrapeton, bicantitruncated hexacross	`3.391165`
...	4D	2cont (?)	`3.414214`
cont	4D	tetracontoctachoron, octagonny, bitruncated icositetrachoron	`3.414214`
contip	5D	tetracontoctachoron prism, bitruncated-icositetrachoron prism	`3.450631`
...	3D	x3f5o, variation of ti, hull of raded, hull of kri	`3.463334`
taghi	4D	truncated grand hecatonicosachoron	`3.477092`
tighi	4D	truncated great hecatonicosachoron	`3.477092`
..., toe \|\| girco, K-4.149	4D	truncated octahedron atop great rhombicuboctahedron, truncated octahedral cap of prismatorhombated icositetrachoron	`3.498949`
...	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`
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`
girn	5D	great rhombated penteract, cantitruncated penteract	`3.563671`
berlin (old: shabrilq)	7D	birhombated pentacontihexahecatonicosihexaexon (small demibirhombated pentacontihexapentacosiheptacontihexaexon)	`3.570714`
hihiquatady	4D	hecatonicosihecatonicosiquasitruncated dishecatonicosachoron	`3.605551`
captint	5D	celliprismatotruncated penteractitriacontiditeron, steriruncitruncated penteract, steriruncitruncated pentacross	`3.701317`
...	4D	2hi (?)	`3.702459`
hi	4D	hecatonicosachoron, 120-cell, dodecacontachoron, cosmochoron	`3.702459`
hipe	5D	hecatonicosachoron prism	`3.736068`
gotaf	6D	great terated tetradecapeton, omnitruncated heptapeton	`3.741657`
titam (older: cacram, totam, tomak, katom)	6D	tritruncated pentacontitetrapeton (centrocellirhombated pentacontitetrapeton, trunkated pentacontitetraheptacontidipeton, heptacontiditruncated pentacontitetrapeton)	`3.741657`
trahi	6D	triangle - hecatonicosachoron duoprism	`3.747204`
squahi	6D	square-hecatonicosachoron duoprism	`3.769377`
grid	3D	great rhombicosidodecahedron (but not qrid), truncated icosidodecahedron	`3.802395`
gixathi	4D	great hexacositriakishecatonicosachoron	`3.804226`
hixtixhi	4D	hecatonicosihexacositruncated hexacosihecatonicosachoron	`3.804226`
..., ti \|\| tid, K-4.151	4D	truncated icosahedron atop truncated dodecahedron	`3.835128`
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`
...	4D	x3o3o5v, variation of small disprismatohexacosihecatonicosachoron	`3.835128`
tragrid	5D	triangle - great-rhombicosidodecahedron duoprism	`3.845977`
squagrid	5D	square - great-rhombicosidodecahedron duoprism	`3.867584`
xithi	4D	hexacositriakishecatonicosachoron	`3.872983`
gippit	5D	great prismated triacontiditeron, omnitruncated hemipenteract	`3.872983`
buffy	8D	diacositetracont-dischiliahectohexacont-myriaheptachiliadiacosioctaconta-zetton; rectified bif, t₁(1_2,4); birectified bay, t₂(2_1,4); tetrarectified fy, t₄(4_1,2)	`3.872983`
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`
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 ditrigonal hecatonicosiprismatodishecatonicosachoron	`4.087567`
bitem (older: gacram, even older: botam, oldest: kobtam)	6D	bitruncated pentacontitetrapeton (great centrorhombated pentacontitetrapeton, heptacontidia-bitruncated pentacontitetrapeton)	`4.123106`
dahiquatady	4D	dishecatonicosiquasitruncated dishecatonicosachoron	`4.134026`
sid tipathi	4D	small ditrigonal prismatotriakishecatonicosachoron	`4.179968`
sphixhi	4D	small prismatohecatonicosihexacosihecatonicosachoron	`4.179968`
gaquidphihi	4D	great quasidisprismatohecatonicosihecatonicosachoron	`4.242641`
...	4D	2grico (?)	`4.299451`
grico	4D	great rhombated icositetrachoron, cantitruncated icositetrachoron	`4.299451`
...	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`
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`
fry	4D	facetorectified hecatonicosachoron	`4.534568`
...	4D	bistratic icosidodecahedron-first cap of rectified hecatonicosachoron	`4.534568`
mif pixady	4D	circumfacetopental hexacosadishecatonicosachoron	`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`
squarahi	6D	square - rectified-hecatonicosachoron duoprism	`4.589369`
...	4D	bistratic icosahedron-first cap of truncated hexacosachoron	`4.643523`
tex	4D	truncated hexacosachoron	`4.643523`
tiffix	4D	truncated faceted hexacosichoron	`4.643523`
thipe	5D	truncated-hecatonicosachoron prism	`4.670365`
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`
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`
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`
..., doe \|\| srid, K-4.152	4D	dodecahedron atop small rhombicosidodecahedron, dodecahedral cap of small disprismatohexacosihecatonicosachoron	`5.236068`
..., K-4.154	4D	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`
bidsid pixhi	5D	bi-icositetra-diminished small disprismatohexacosihecatonicosachoron	`5.236068`
idsid pixhi	5D	icositetra-diminished small disprismatohexacosihecatonicosachoron	`5.236068`
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`
pirshi	4D	prismatorhombated (small) stellated hecatonicosachoron	`5.515107`
sphihix	4D	small prismatohecatonicosahecatonicosahexacosachoron	`5.515107`
sidhiquit paddy	4D	small dishecatonicosaquasitruncated prismatodishecatonicosachoron	`5.605034`
shihi	4D	small hecatonicosihecatonicosachoron	`5.854102`
..., id \|\| ti, K-4.158	4D	icosidodecahedron atop truncated icosahedron, icosidodecahedral cap of small rhombated hexacosachoron	`6.073594`
...	4D	2srix (?)	`6.073594`
...	4D	2srix+2400{6}+4800{3} (?)	`6.073594`
...	4D	2srix+2400{6}+7200{3} (?)	`6.073594`
...	4D	tristratic icosidodecahedron-first cap of small rhombihexacosachoron	`6.073594`
srawv hixhi	4D	small retrosphenoverted hecatonicosihexacosihecatonicosachoron	`6.073594`
srix	4D	small rhombated hexacosachoron, cantellated hexacosachoron	`6.073594`
...	4D	bistratic icosidodecahedron-first subsegment of small rhombihexacosachoron	`6.073594`
idsrix	5D	icositetra-diminished small rhombated hexacosachoron	`6.073594`
srixip	5D	small-rhombated-hexacosachoron prism, cantellated-hexacosachoron prism	`6.094140`
hixthix	4D	hecatonicosihexacositruncated hecatonicosihexacosachoron	`6.186316`
goquidipdy	4D	great quasidisprismatodishecatonicosachoron	`6.566933`
..., K-4.165	4D	pentagon - decagon-prismatic wedge, pentagonal magnabicupolaic ring, {5} \|\| dip, {10} \|\| pecu	`6.735034`
..., srid \|\| tid, K-4.159	4D	small rhombicosidodecahedron atop truncated dodecahedron, small-rhombicosidodecahedral cap of small rhombated hecatonicosachoron	`6.735034`
...	4D	2srahi (?)	`6.735034`
...	4D	2srahi+1440{10}+4800{3} (?)	`6.735034`
...	4D	2srahi+2400trip (?)	`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`
srahip (old: srahipe)	5D	small-rhombated-hecatonicosachoron prism	`6.753568`
sixipady	4D	small hexacosiprismatodishecatonicosachoron	`6.881910`
sphiddix	4D	small prismatohecatonicosadishexacosachoron	`6.881910`
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`
prahi	4D	prismatorhombated hecatonicosachoron, runcitruncated hexacosachoron	`8.278950`
spixady	4D	small prismatohexacosadishecatonicosachoron	`8.278950`
...	4D	bistratic srid-cap of prahi	`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`
..., tid \|\| grid, K-4.173	4D	truncated dodecahedron atop great rhombicosidodecahedron, truncated-dodecahedral cap of prismatorhombated hexacosichoron	`9.744610`
...	4D	2prix (?)	`9.744610`
prix	4D	prismatorhombated hexacosichoron, runcitruncated hecatonicosachoron	`9.744610`
spixhihy	4D	small prismatohexacosihecatonicosihecatonicosachoron	`9.744610`
idprix	5D	icositetra-diminished prismatorhombated hexacosachoron	`9.744610`
...	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`

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