Site Map Polytopes Dynkin Diagrams Vertex Figures Incidence Matrices Index

Index of Polytopes, sorted by Dimension

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

Index is also available in alphabetical order. Parts of this index - as far as circumradii are explicitely given - are also available in an (accordingly) numerically sorted order.



----
 2D
----

Acronym Name Circumradius
... 2rothat (?)  
... 2that (?)  
... 2that+∞{3} (?)  
... 2toxat (?)  
azap apeirogonal antiprism  
azip apeirogonal prism  
ditatha ditrigonary trigonal hemiapeirogonal tesselation  
etrat elongated triangular tiling  
hexat hexagonal tiling, Voronoi complex of hexagonal lattice  
hoha hexagonal hemiapeirogonal tesselation  
... hyperbolic tetrapentagonal tiling of family o3o4o5*a  
... hyperbolic order 3 heptagonal tiling  
... hyperbolic order 3 tritetragonal tiling  
... hyperbolic order 3 octagonal tiling  
... hyperbolic order 3 horocyclic tiling, hyperbolic order ∞ truncated horocyclic tiling  
... hyperbolic tritetragonal tiling of family o3o4o5*a  
... hyperbolic ditetragonal tiling of family o3o4o5*a  
... hyperbolic triheptagonal tiling  
... hyperbolic order 3 truncated heptagonal tiling  
... hyperbolic trioctagonal tiling  
... hyperbolic order 3 truncated octagonal tiling  
... hyperbolic trigonal-horocyclic tiling  
... hyperbolic order 3 truncated horocyclic tiling  
... hyperbolic order 4 pentagonal tiling  
... hyperbolic tetrapentagonal tiling  
... hyperbolic order 4 truncated pentagonal tiling  
... hyperbolic tetragonal-horocyclic tiling  
... hyperbolic order 4 truncated horocyclic tiling  
... hyperbolic order 4 horocyclic tiling  
othat omnitruncated trihexagonal tiling, great rhombitrihexagonal tiling  
rothat rhombitrihexagonal tiling  
... hyperbolic snub tiling of family o3o3o4*a  
... hyperbolic snub tiling of family o3o3o∞*a  
... hyperbolic snub tiling of family o3o4o5*a  
... hyperbolic snub triheptagonal tiling  
... hyperbolic snub tritritetragonal tiling  
... hyperbolic snub trioctagonal tiling  
... hyperbolic snub trigonal-horocyclic tiling  
... hyperbolic snub tetrapentagonal tiling  
... hyperbolic snub pentapentagonal tiling  
sha square hemiapeirogonal tesselation  
shothat, (inbetween: shath) small hexagonal-trigonal-hexagonal tiling  
... hyperbolic snub di-horocyclic tiling  
snasquat snub square tiling  
snathat snub trihexagonal tiling  
squat square tiling, 2D hypercubical honeycomb (δ2), Voronoi complex of square lattice, Delone complex of square lattice  
tha trigonal hemiapeirogonal tesselation  
that trihexagonal tiling, Kagomé tiling  
tosquat truncated square tiling  
toxat truncated hexagonal tiling  
trat triangular tiling, Delone complex of hexagonal lattice  
... hyperbolic order 3 trigonal-horocyclic tiling  
... hyperbolic tripentagonal tiling of family o3o4o5*a  
... hyperbolic dipentagonal tiling of family o3o4o5*a  
... hyperbolic order 7 triangular tiling  
... hyperbolic rhombitriheptagonal tiling  
... hyperbolic order 8 triangular tiling  
... hyperbolic shieldotritetragonal tiling  
... hyperbolic rhombitrioctagonal tiling  
... hyperbolic order ∞ triangular tiling  
... hyperbolic rhombi-trigonal-horocyclic tiling  
... hyperbolic shieldo-trigonal-horocyclic tiling  
... hyperbolic shieldotetrapentagonal tiling of family o3o4o5*a, ditrigonal tiling of family o3o4o5*a  
... hyperbolic omnitruncated tiling of family o3o4o5*a  
... hyperbolic order 7 truncated trigonal tiling  
... hyperbolic omnitruncated triheptagonal tiling  
... hyperbolic order 8 truncated trigonal tiling  
... hyperbolic omnitruncated trioctagonal tiling  
... hyperbolic order ∞ truncated trigonal tiling  
... hyperbolic omnitruncated trigonal-horocyclic tiling  
... hyperbolic order 5 square tiling  
... hyperbolic rhombisquarepentagonal tiling  
... hyperbolic order 5 truncated square tiling  
... hyperbolic omnitruncated tetrapentagonal tiling  
... hyperbolic order 5 pentagonal tiling  
... hyperbolic order 5 truncated pentagonal tiling  
... hyperbolic order ∞ horocyclic tiling  
... hyperbolic order ∞ horocyclic tiling  

Count of actually available polygons: 78


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----
 3D
----

Acronym Name Circumradius
... 2cho (?)  1
... 2co (?)  1
... 2co+16{3} (?)  1
... 2cube (?)  0.866025
... 2did (?)  1
... 2ditdid+5cube (?)  0.866025
... 2doe (?)  1.401259
... 2gad (?)  0.951057
... 2gad+ike (?)  0.951057
... 2geihid (?)  0.618034
... 2gid (?)  0.618034
... 2gidhei (?)  1
... 2gidhid (?)  0.618034
... 2gidtid+5cube (?)  0.866025
... 2gike (?)  0.587785
... 2gike+sissid (?)  0.587785
... 2gissid (?)  0.535233
... 2id (?)  1.618034
... 2id+40{3} (?)  1.618034
... 2ike (?)  0.951057
... 2ike+4gad (?)  0.951057
... 2ike+gad (?)  0.951057
2n/2-p 2n-gonal prism of winding number 2 sqrt[1/4+1/(4 sin2(π/n))]
2n/d-p 2n/d-prism, 2n-prism with winding number d sqrt[1/4+1/(4 sin2(π d/2n))]
2n-p 2n-gonal prism sqrt[1/4+1/(4 sin2(π/2n))]
... 2oct (?)  0.707107
... 2oct+12{4} (?)  0.707107
... 2oct+6{4} (?)  0.707107
... 2oct+8{3} (?)  0.707107
... blend of 2 pentagonal antiprisms, pair of pentagonal butterfly wedges  0.951057
... 2pip (?), decagonal prism with winding number 2  0.986715
... orthogonal blend of pentagonal prisms, vertex figure of sadsadox  0.986715
... 2quitgissid (?)  0.657550
... 2quith (?)  0.579471
... 2quitsissid (?)  0.852911
... 2raded (?)  1.322876
... 2seihid (?)  1.618034
... 2sidhei (?)  1
... 2sidhid (?)  1.618034
... 2sidtid+5cube (?)  0.866025
... 2sirco (?)  1.398966
... 2sissid (?)  0.587785
... 2sissid+4gike (?)  0.587785
... 2sissid+gike (?)  0.587785
... 2srid (?)  2.232951
... orthogonal blend of pentagagramic prisms, vertex figure of gadsadox  0.725530
... 2tet (?)  0.612372
... 2thah (?)  0.707107
... 2ti (?)  2.478019
... 2tic (?)  1.778824
... 2tid (?)  2.969449
... 2tiggy (?)  1.053292
... 2tigid (?)  1.876844
... 2trip (?), hexagonal prism with winding number 2  0.763763
... 2tut (?)  1.172604
... 3doe (?)  1.401259
... 3gidtid (?)  0.866025
... 3gissid (?)  0.535233
... 3ike+gad (?)  0.951057
... 3sidtid (?)  0.866025
... 3sissid+gike (?)  0.587785
... 3tet (?)  0.612372
... 4ike+2gad (?)  0.951057
... 4oct (?)  0.707107
... 4sissid+2gike (?)  0.587785
... 4tet (?)  0.612372
... 4thah (?)  0.707107
... 5ike+gad (?)  0.951057
... 6doe (?)  1.401259
... 6gissid (?)  0.535233
... 6tet (?)  0.612372
... a3b3c, general variation of truncated octahedron ...
... a3b4c, general variation of great rhombicuboctahedron ...
... a3b5c, general variation of great rhombicosidodecahedron ...
addasi altered disnub icosahedron, compound of 20 oct (but not dasi)  0.707107
arie antirhombicosicosahedron, compound of 5 co  1
aud, J58 augmented dodecahedron  
auhip, J54 augmented hexagonal prism  
aupip, J52 augmented pentagonal prism  
auteddi, J64 augmented tridiminished icosahedron  
autic, J66 augmented truncated cube  
autid, J68 augmented truncated dodecahedron  
autip, J49 augmented triangular prism  
autut, J65 augmented truncated tetrahedron  
auwaco, J87 augmented sphenocorona  
batatoh bitruncated alternated-cubic honeycomb, bitruncated tetrahedral-octahedral honeycomb, quarter cubic honeycomb  
batch bitruncated cubic honeycomb, truncated-octahedral honeycomb, Voronoi complex of body-centered cubic (bcc) lattice  
baupip, J53 biaugmented pentagonal prism  
bautic, J67 biaugmented truncated cube  
bautip, J50 biaugmented triangular prism  
bilbiro, J91 bilunabirotunda  
cadditradid complex (ditrigonal) rhombidodecadodecahedron  0.866025
cho cubohemioctahedron, rhomballelohedron  1
... cho+4{6/2} (?)  1
chon cubic honeycomb, 3D hypercubical honeycomb (δ3), Voronoi complex of primitive cubical lattice, Delone complex of primitive cubical lattice  
cid small complex icosidodecahedron  0.951057
co   (alt.: rotet) cuboctahedron, rhombitetratetrahedron, rectified cube, rectified octahedron, cantellated tetrahedron, trigonal gyrobicupola  1
cotco cuboctatruncated cuboctahedron, cubitruncated cuboctahedron  1.322876
cube, 4-p 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
dap, 10-ap decagonal antiprism  1.674505
dasi disnub icosahedron, compound of 20 oct (but not addasi)  0.707107
dawci, J90 disphenocingulum  
desided disnub icosidodecadodecahedron, compound of 2 sided  
did dodecadodecahedron, great dodecadodecahedron  1
... did+sidhei+gidhei (?)  1
dip (old: dep) decagonal prism  1.693527
dird dirhimbidodecahedron, compound of 12 pip  0.986715
dirid, J76 diminished rhombicosidodecahedron  2.232951
dis disnubihedron, compound of 12 tet  0.612372
disco disnub cuboctahedron, compound of 2 snic  
disdid disnub dodecadodecahedron, compound of 2 siddid  
dissid disnub icosidodecahedron, compound of 2 snid  
dissit disnub tetrahedron, compound of 4 oct  0.707107
ditdid ditrigonal dodecadodecahedron  0.866025
... ditdid+gidtid (?)  0.866025
doe dodecahedron, cosmohedron  1.401259
doso disnub octahedron, compound of 8 oct  0.707107
dri dirhombicosahedron, compound of 20 trip  0.763763
dro dirhombioctahedron, compound of 8 trip  0.763763
e icosiicosahedron, compound of 10 tet  0.612372
epcu, J20 elongated pentagonal cupola  
epedpy, J16 elongated pentagonal dipyramid  
epeppy, J9 elongated pentagonal pyramid  
epgybro, J43 elongated pentagonal gyrobirotunda  
epgycuro, J41 elongated pentagonal gyrocupolarotunda  
epigybcu, J39 elongated pentagonal gyrobicupola  
epobcu, J38 elongated pentagonal orthobicupola  
epobro, J42 elongated pentagonal orthobirotunda  
epocuro, J40 elongated pentagonal orthocupolarotunda  
epro, J21 elongated pentagonal rotunda  
escu, J19 elongated square cupola, diminished small rhombicuboctahedron  1.398966
esquidpy, J15 elongated square dipyramid  
esquigybcu, J37 elongated square gyrobicupola, pseudorhombicuboctahedron, Miller's solid  1.398966
esquipy, J8 elongated square pyramid  
etcu, J18 elongated triangular cupola  
etidpy, J14 elongated trigonal dipyramid  
etigybcu, J36 elongated triangular gyrobicupola  
etobcu, J35 elongated triangular orthobicupola  
etoh elongated tetrahedral-octahedral honeycomb, elongated alternated cubic honeycomb  
etoph elongated-triagonal prismatic honeycomb  
etripy, J7 elongated triangular pyramid  
... f v10o, variation of decagonal prism, hull of 10/3-prism  1.286277
... f v3o, variation of triangular prism, vertex figure of rectified great grand hecatonicosachoron  0.884212
... f v5o, variation of pentagonal prism, vertex figure of righi  0.964832
... f x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron  0.993902
... f x4o, variation of cube  1.074481
... f x5/2o, variation of 5/2-prism, vertex figure of raghi  0.964832
... f x5o, variation of pentagonal prism  1.173932
... f3o3x, variation of cuboctahedron  1.327129
... f3o4x, variation of small rhombicuboctahedron  1.789732
... f3o5x, variation of srid, hull of siid, hull of quit gissid  2.785428
... f3v5v, variation of grid, hull of idtid  3.236068
... f3x5o, variation of ti, hull of tigid, hull of gaddid  3.036797
... f3x5x, variation of great rhombicosidodecahedron, hull of quitdid  4.341518
gacid great complex icosidodecahedron  0.587785
gad great dodecahedron  0.951057
gaddid great dodekicosidodecahedron  0.716891
gadsid great disnub dodecahedron, compound of 12 pap  0.951057
gaquatid great quasitruncated icosidodecahedron, stellatruncated icosidodecahedron  1.020684
gari great antirhombicosahedron, compound of 5 cho  1
gassic (chiral) great snub cube, compound of 3 squap  0.822664
gassid great snub dodecahedron, compound of 6 pap  0.951057
geihid great icosihemidodecahedron  0.618034
gicdatrid great complex (ditrigonal) rhombicosidodecahedron  0.866025
gid great icosidodecahedron  0.618034
... gid+geihid+gidhid (?)  0.618034
gidasid great invertidisnub dodecahedron, compound of 12 starp  0.587785
giddasid great disnub icosidodecahedron, compound of 2 gosid  
giddird great dirhombidodecahedron, compound of 12 stip  0.725530
gidditdid great ditrigonal dodekicosidodecahedron, great dodekified icosidodecahedron  1.134229
giddy great dodekicosahedron  1.134229
... giddy+12{10/2} (?)  1.134229
... giddy+20{6/2}  1.134229
gidhei great dodecahemicosahedron, small dodecahemiicosahedron (but not sidhei)  1
gidhid great dodecahemidodecahedron  0.618034
gidisdrid great disnub dirhombicosidodecahedron, Skilling's figure  0.707107
gidrid great dirhombicosidodecahedron, great snub disicosidisdodecahedron, Miller's monster  0.707107
gidrissid great diretrosnub icosidodecahedron, compound of 2 girsid  
gidsac great disnub cube, compound of 6 squap  0.822664
gidsid great invertidisnub icosidodecahedron, compound of 2 gisid  
gidtid great ditrigonal icosidodecahedron  0.866025
giid great icosicosidodecahedron  1.134229
gike great icosahedron, retrosnub tetrahedron, retrosnub tetratetrahedron  0.587785
gikrid great chirorhombidodecahedron, compound of 6 stip  0.725530
girco great rhombicuboctahedron (but not querco), truncated cuboctahedron  2.317611
gird great rhombidodecahedron  0.716891
... gird+12{10/4} (?)  0.716891
... gird+20{6/2} (?)  0.716891
girsid great (inverted) retrosnub icosidodecahedron, azathoth  
gisdid great snub dodekicosidodecahedron, shub-niggurath  0.707107
gisid great inverted snub icosidodecahedron, great vertisnub icosidodecahedron, cthulhu  
gissed great invertisnub dodecahedron, compound of 6 starp  0.587785
gissi great snub icosahedron, compound of 10 oct (but not si)  0.707107
gissid great stellated dodecahedron  0.535233
gocco great cubicuboctahedron  0.736813
gosid great snub icosidodecahedron, tsathoggua  
grassid great rhombisnub dodecahedron, compound of 6 stiddip  0.794963
gratoh great rhombated tetrahedral-octahedral honeycomb, cantitruncated alternated cubic honeycomb, cantitruncated tetrahedral-octahedral honeycomb  
grich great rhombated cubic honeycomb, cantitruncated cubic honeycomb  
grid great rhombicosidodecahedron (but not qrid), truncated icosidodecahedron  3.802395
griso great rhombisnub octahedron, compound of 4 hip  1.118034
groh great rhombihexahedron  0.736813
... groh+8{6/2} (?)  0.736813
gybef, J26 gyrobifastigium  
gyepabro, J48 gyroelongated pentagonal birotunda  
gyepcu, J24 gyroelongated pentagonal cupola  
gyepcuro, J47 gyroelongated pentagonal cupolarotunda  
gyepibcu, J46 gyroelongated pentagonal bicupola  
gyepip, J11 gyroelongated pentagonal pyramid, diminished icosahedron  
gyepro, J25 gyroelongated pentagonal rotunda  
gyescu, J23 gyroelongated square bicupola  
gyesp, J10 gyroelongated square pyramid  
gyesqidpy, J17 gyroelongated square dipyramid  
gyesquibcu, J45 gyroelongated square bicupola  
gyetaph gyroelongated triangular-prismatic honeycomb  
gyetcu, J22 gyroelongated triangular bicupola  
gyetibcu, J44 gyroelongated triangular bicupola  
gyetoh gyroelongated tetrahedral-octahedral honeycomb, gyroelongated alternated cubic honeycomb  
gyrid, J72 gyrated rhombicosidodecahedron  2.232951
gytoh gyrated tetrahedral-octahedral honeycomb, gyrated alternated cubic honeycomb  
gytoph gyrated triangular prismatic honeycomb  
hap, 6-ap hexagonal antiprism  1.087664
hawmco, J89 hebesphenomegacorona  
hip hexagonal prism, Voronoi cell of unit-stacked hexagonal lattice  1.118034
hiph hexagonal prismatic honeycomb, Voronoi complex of unit-stacked hexagonal lattice  
hirki hemirhombichiro-icosahedron, compound of 5 thah  0.707107
id icosidodecahedron  1.618034
... id+seihid+sidhid (?)  1.618034
iddei icosidisicosahedron, compound of 5 oho  1
ided icosidodecadodecahedron  1.322876
idisdid invertidisnub dodecadodecahedron, compound of 2 isdid  
idtid icosidodecatruncated icosidodecahedron, icositruncated dodecadodecahedron  2
ike   (alt.: snit) icosahedron, snub tetrahedron, snub tetratetrahedron, hydrohedron  0.951057
... ike+3gad (?)  0.951057
isdid inverted snub dodecadodecahedron, vertisnub dodecadodecahedron, nyarlathotep  
ki chiro-icosahedron, compound of 5 tet  0.612372
kred (old: red) chiro-rhombidodecahedron, compound of 6 pip  0.986715
kri chirorhombicosahedron, compound of 10 trip  0.763763
mabaud, J60 metabiaugmented dodecahedron  
mabauhip, J56 metabiaugmented hexagonal prism  
mabautid, J70 metabiaugmented truncated dodecahedron  
mabgyrid, J74 metabigyrated rhombicosidodecahedron  2.232951
mabidrid, J81 metabidiminished rhombicosidodecahedron  2.232951
mibdi, J62 metabidiminished icosahedron  0.951057
n/2-ap n/2 antiprism sqrt[(3–2 cos(2π/n))/(8–8 cos(2π/n))]
n/d-ap n/d-antiprism, n-antiprism with winding number d (for d>n/2 also: n/(n-d)-retroprism, retrograde n/(n-d)-antiprism) sqrt[(3–2 cos(π d/n))/(8–8 cos(π d/n))]
n/d-cu n/d-gonal cupola  
n/d-p n/d-prism, n-prism with winding number d sqrt[1/4+1/(4 sin2(π d/n))]
n/d-py n/d-gonal pyramid 1/sqrt[4-1/sin^2(πd/n)]
n-ap n-gonal antiprism sqrt[(3–2 cos(π/n))/(8–8 cos(π/n))]
n-azedip n-gonal - apeirogonal duoprism  
n-p n-gonal prism sqrt[1/4+1/(4 sin2(π/n))]
... o3q4x, variation of truncated cube  2.179449
... o3β4o (?) ...
... o3β4x (?) ...
... o3β5o (?) ...
... o3β5x (?) ...
... hyperbolic o3x3x3o4*a tesselation  
... hyperbolic o3x3x3o5*a tesselation  
... o3x4q, variation of truncated cube, hull of sno  2.121320
... o3x4u, variation of truncated cube  2.613126
... hyperbolic o3x4x3o4*a tesselation  
... hyperbolic o3x4x3o5*a tesselation  
... hyperbolic rectified order 3 icosahedral tesselation  
... hyperbolic bitruncated order 3 icosahedral tesselation  
... hyperbolic o3x5x3o5*a tesselation  
... hyperbolic order 4 dodecahedral tesselation  
... hyperbolic rectified order 4 dodecahedral tesselation  
... hyperbolic truncated order 4 dodecahedral tesselation  
... hyperbolic rectified order 5 cubic tesselation  
... hyperbolic rhombated order 4 dodecahedral tesselation, hyperbolic cantelated order 4 dodecahedral tesselation  
... hyperbolic bitruncated order 5 cubic tesselation  
... hyperbolic great rhombated order 5 cubic tesselation, hyperbolic cantitruncated order 5 cubic tesselation  
... o5/2β5o (?) ...
... o5/2β5x (?) ...
... hyperbolic rectified order 5 dodecahedral tesselation  
... hyperbolic bitruncated order 5 dodecahedral tesselation  
oap, 8-ap octagonal antiprism  1.375549
oct 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
... oct+6{4} (?)  0.707107
octet alternated cubic honeycomb, tetrahedral-octahedral honeycomb, Delone complex of face-centered cubic (fcc) lattice  
oho octahemioctahedron, allelotetratetrahedron  1
... oho+8{3}  1
op octagonal prism, bidiminished small rhombicuboctahedron  1.398966
otathaph omnitruncated triangular-hexagonal prismatic honeycomb  
otch omnitruncated cubic honeycomb  
pabaud, J59 parabiaugmented dodecahedron  
pabauhip, J55 parabiaugmented hexagonal prism  
pabautid, J69 parabiaugmented truncated dodecahedron  
pabgyrid, J73 parabigyrated rhombicosidodecahedron  2.232951
pabidrid, J80 parabidiminished rhombicosidodecahedron  2.232951
pagydrid, J77 paragyrate diminished rhombicosidodecahedron  2.232951
pap pentagonal antiprism, para-bidiminished icosahedron  0.951057
passipsi pseudosnub pentagrammattic snub (pseudo)icosiicosahedron, compound of 5 sissid  0.587785
passipsido pseudosnub pentagrammatic snub (pseudo)disoctahedron, compound of 2 sissid  0.587785
pd{3,5,3} partial diminishing (old: truncation) of hyperbolic order 3 icosahedral tesselation  
pecu, J5 pentagonal cupola  2.232951
pedpy, J13 pentagonal dipyramid  
pegybcu, J31 pentagonal gyrobicupola  
pegycuro, J33 pentagonal gyrocupolarotunda  
peppy, 5pyr, J2 pentagonal pyramid  0.951057
pero, J6 pentagonal rotunda, half of icosidodecahedron  1.618034
pip pentagonal prism, 5-p, vertex figure of rox  0.986715
pobcu, J30 pentagonal orthobicupola  
pobro, J34 pentagonal orthobirotunda  1.618034
pocuro, J32 pentagonal orthocupolarotunda  
presipsi pseudoretrosnub pentagonal snub (pseudo)icosiicosahedron, compound of 5 gad  0.951057
presipsido pseudoretrosnub pentagonal snub (pseudo)disoctahedron, compound of 2 gad  0.951057
prich prismatorhombated cubic honeycomb, runcitruncated cubic honeycomb  
... q x3o, variation of triangular prism, vertex figure of rectified tesseract  0.912871
... q x4o, variation of cube, vertex figure of rectified cubic honeycomb  1
... q x5o, variation of pentagonal prism  1.106168
... q x8o, variation of octagonal prism  1.485633
... q3o3x, variation of cuboctahedron  1.215958
... q3o4x, variation of small rhombicuboctahedron, hull of tisso  1.658312
... q3o5x, variation of srid  2.601518
... q3x4x, variation of girco, hull of quitco  1.062393
qrid quasi rhombicosidodecahedron, great rhombicosidodecahedron (but not grid)  0.716891
querco quasirhombicuboctahedron, great rhombicuboctahedron (but not girco)  0.736813
quit gissid quasitruncated great stellated dodecahedron, great stellated truncated dodecahedron, great stellatruncated dodecahedron  0.657550
quit sissid quasitruncated small stellated dodecahedron, small stellated truncated dodecahedron, small stellatruncated dodecahedron  0.852911
quitar (old: quahri) quasitruncated rhombihedron, quasihyperhombicosicosahedron, compound of 5 quith  0.579471
quitco quasitruncated cuboctahedron, great truncated cuboctahedron, stellatruncated cuboctahedron  1.062393
quitdid quasitruncated dodecadodecahedron, stellatruncated dodecadodecahedron  1.658312
quith quasitruncated hexahedron, stellated truncated hexahedron, stellatruncated cube  0.579471
rad (old: rhode) rhombic dodecahedron, Voronoi cell of face-centered cubic (fcc) lattice  
raded rhombidodecadodecahedron  1.322876
rah rhombihexahedron, compound of 3 cube  0.866025
rahrie rhombihyperhombicosicosahedron, compound of 5 socco  1.398966
raquahri rhombiquasihyperhombicosicosahedron, compound of 5 gocco  0.736813
rasher rhombisnub hyperhombihedron, compound of 5 sroh  1.398966
rasquahr rhombisnub quasihyperrhombihedron, compound of 5 groh  0.736813
rasseri rhombisnub rhombicosicoahedron, compound of 5 sirco  1.398966
rassid rhombisnub dodecahedron, compound of 6 dip  1.693527
ratoh runcinated alternated cubic honeycomb, runcinated tetrahedral-octahedral honeycomb  
ratricu retrograde trigonal cupola, 3/2-cupola  0.707107
rhom rhombihedron, compound of 5 cube  0.866025
rhote (old: rattic) rhombic triacontahedron  
ri rhombicosahedron  1.322876
... ri+12{10/2} (?)  1.322876
... ri+12{10/4} (?)  1.322876
rich rectified cubic honeycomb  
risdoh rhombisnub dishexahedron, compound of 6 cube, Skilling's compound  0.866025
ro (chiral) rhombioctahedron, compound of 4 trip  0.763763
rosaqri (old: rasquahpri) rhombisnub quasirhombicosicosahedron, rhombisnub quasihyperpseudorhombicosicosahedron, compound of 5 querco  0.736813
rosi rhombisnub icosahedron, compound of 10 hip  1.118034
rothaph rhombitriangular-hexagonal prismatic honeycomb  
... β3/2β3x3*a (?) ...
... β3o4β (?) ...
... β3o5β (?) ...
... β3x4β (?) ...
... β3x5β (?) ...
... β5/2x5β (?) ...
saddid small dodekicosidodecahedron  2.232951
sadsid small disnub dodecahedron, compound of 12 stap  0.656431
sapisseri (chiral) snub pseudosnub rhombicosahedron, compound of 20 thah  0.707107
sassid (chiral) small snub dodecahedron, compound of 6 stap  0.656431
sassiph snub square prismatic honeycomb  
se small icosiicosahedron, compound of 5 oct  0.707107
seihid small icosihemidodecahedron  1.618034
seside small snub icosicosidodecahedron, snub disicosidodecahedron, holosnub icosahedron, hastur  1.458190
si snub icosahedron, compound of 10 oct (but not gissi)  0.707107
sicdatrid small complex (ditrigonal) rhombicosidodecahedron  0.866025
siddid (old: siided) snub dodecadodecahedron, chaugnar faugn  
sidditdid small ditrigonal dodekicosidodecahedron, small dodekified icosidodecahedron  1.721489
siddo snub disoctahedron, octahedral compound of 2 ike  0.951057
siddy small dodekicosahedron  1.721489
... siddy+12{10/4} (?)  1.721489
... siddy+20{6/2} (?)  1.721489
sided snub icosidodecadodecahedron, dagon  
sidhei small dodecahemicosahedron, great dodecahemiicosahedron (but not gidhei)  1
sidhid small dodecahemidodecahedron  1.618034
sidtid small ditrigonal icosidodecahedron  0.866025
... sidtid+ditdid (?)  0.866025
... sidtid+ditdid+gidtid (?)  0.866025
... sidtid+gidtid (?)  0.866025
siid small icosicosidodecahedron  1.721489
sirco small rhombicuboctahedron  1.398966
sird small rhombidodecahedron  2.232951
... sird+12{10/2} (?)  2.232951
... sird+20{6/2} (?)  2.232951
sirsei small retrosnub icosiicosahedron, compound of 5 gike  0.587785
sirsid small (inverted) retrosnub icosicosidodecahedron, retrosnub disicosidodecahedron, yog sothoth  0.580695
sirsido small retrosnub disoctahedron, compound of 2 gike  0.587785
sis small snubihedron, compound of 6 tet (but not snu)  0.612372
sissid small stellated dodecahedron  0.587785
... sissid+3gike (?)  0.587785
snadow, J84 snub disphenoid  
snathaph snub trigonal-hexagonal prismatic honeycomb  
sne snub icosiicosahedron, compound of 5 ike  0.951057
snic snub cube, snub cuboctahedron  
snid snub dodecahedron, snub icosidodecahedron  
snisquap, J85 snub square antiprism  
sno snub octahedron, compound of 4 oct  0.707107
snu snubihedron, compound of 6 tet (but not sis)  0.612372
so stella octangula, compound of 2 tet  0.612372
socco small cubicuboctahedron  1.398966
spd{3,5,3}   (old: spt{3,5,3}) semi partial diminishing (old: truncation) of hyperbolic order 3 icosahedral tesselation  
squacu, J4 square cupola  1.398966
squap square antiprism  0.822664
squigybcu, J29 square gyrobicupola  
squippy, 4pyr, J1 tetragonal pyramid, half of oct  0.707107
squobcu, J28 square orthobicupola  
srich small rhombated cubic honeycomb, cantellated cubic honeycomb  
srid small rhombicosidodecahedron  2.232951
sroh small rhombihexahedron  1.398966
... sroh+8{6/2} (?)  1.398966
stap stellar antiprism, 5/2-antiprism  0.656431
stappy, 5/2-pyr pentagrammic pyramid  0.587785
starp (old: restap) stellar retroprism (retrograde stellar antiprism), 5/3-antiprism  0.587785
stiddip stellated decagonal prism, 10/3-prism, 10-prism with winding number 3  0.794963
stip stellated pentagonal prism, 5/2-prism, 5-prism with winding number 2, vertex figure of raggix  0.725530
stiscu pentagrammic cuploid, star semicupola  0.866025
stop (old: sop) stellated octagonal prism, 8/3-prism, 8-prism with winding number 3  0.736813
taki truncated chiro-icosahedron, compound of 5 tut  1.172604
tar (old: harie) truncated rhombihedron, hyperhombicosicosahedron, compound of 5 tic  1.778824
targi trireplinished great icosahedron  0.587785
tassiph truncated square prismatic honeycomb  
tatoh truncated tetrahedral-octahedral honeycomb, truncated alternated cubic honeycomb  
taud, J61 metabiaugmented dodecahedron  
tauhip, J57 triaugmented hexagonal prism  
tautid, J71 triaugmented truncated dodecahedron  
tautip, J51 triaugmented trigonal prism  
te truncated icosiicosahedron, compound of 10 tut  1.172604
teddi, J63 tridiminished icosahedron, vertex figure of sadi  0.951057
tedrid, J83 tridiminished rhombicosidodecahedron  2.232951
tet 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
thah tetrahemihexahedron  0.707107
thaph truncated-hexagonal prismatic honeycomb  
thawro, J92 triangular hebesphenorotunda  
thiph triangular-hexagonal prismatic honeycomb  
ti truncated icosahedron, buckyball  2.478019
tic truncated cube, truncated hexahedron  1.778824
tich truncated cubic honeycomb  
tid truncated dodecahedron  2.969449
tiggy truncated great icosahedron, great truncated icosahedron  1.053292
tigid truncated great dodecahedron  1.876844
tiph triangular prismatic honeycomb, Delone complex of unit-stacked hexagonal lattice  
tisso truncated stella octangula, compound of 2 tut  1.172604
tobcu, J27 triangular orthobicupola  1
toe truncated octahedron, Voronoi cell of body-centered cubic (bcc) lattice  1.581139
tricu, J3 triangular cupola, half of cuboctahedron  1
tridpy, J12 trigonal dipyramid  
trip, 3-p triangular prism, digonal cupola, Delone cell of unit-stacked hexagonal lattice  0.763763
tuquith blend of 2 quasitruncated cubes  0.579471
tut truncated tetrahedron  1.172604
tutic blend of 2 truncated cubes  1.778824
tutrip gyrated blend of 2 digonal cupola, Phillips head  0.763763
twip dodecagonal prism  1.995508
... u x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron  1.154701
... u x4o, variation of cube  1.224745
... u x5o, variation of pentagonal prism  1.312862
... u x6o, variation of hexagonal prism  1.414214
... u3o3x, variation of cuboctahedron  1.541104
... u3o4x, variation of small rhombicuboctahedron  2.040640
... u3x3o, variation of truncated tetrahedron  1.732051
... u3x4o, variation of truncated octahedron  2.236068
... v f3o, variation of triangular prism, vertex figure of rasishi  0.983956
... v f5/2o, variation of 5/2-prism, vertex figure of ragashi  0.905040
... v x3o, variation of triangular prism, vertex figure of rectified great grand stellated hecatonicosachoron  0.654847
... v x5o, variation of pentagonal prism, vertex figure of ragishi  0.905040
... v3o3x, variation of cuboctahedron, vertex figure of gadtaxady  0.820211
... v3o5f, variation of srid, hull of tiggy  1.704262
... v3x3o, variation of truncated tetrahedron, vertex figure of sidtaxhi  0.975835
... v3x5f, variation of grid, hull of gaquatid  4.323687
... w x4o, variation of cube  1.398966
... w x8o, variation of octagonal prism, hull of 8/3-prism  1.778824
... w3x3o, variation of truncated tetrahedron  1.973010
... w3x4x, variation of girco, hull of cotco  3.193704
waco, J86 sphenocorona  
wamco, J88 sphenomegacorona  
... x f3o, variation of triangular prism  1.059565
... x f5/2o, variation of 5/2-prism, vertex figure of rofix  0.986715
... x q3o, variation of triangular prism, vertex figure of rectified icositetrachoron  0.957427
... x u3o, variation of triangular prism  1.258306
... x v5o, variation of pentagonal prism, vertex figure of rigfix  0.725530
... x3/2β3x (?) ...
... x3f4o, variation of truncated octahedron, hull of siddo, hull of passipsido  2.176251
... x3f5o, variation of ti, hull of raded, hull of kri  3.463334
... hyperbolic alternated order 5 cubical tesselation  
... hyperbolic birectified alternated order-5 cubic tesselation  
... hyperbolic x3o3o3x4*a tesselation  
... hyperbolic x3o3o3x5*a tesselation  
... hyperbolic x3o3o4o3*a tesselation  
... hyperbolic x3o3o5o3*a tesselation  
... hyperbolic x3o3x3o4*a tesselation  
... hyperbolic x3o3x3o5*a tesselation  
... hyperbolic x3o4o3x5*a tesselation  
... x3o4q, variation of small rhombicuboctahedron  1.732051
... hyperbolic x3o4x3o4*a tesselation  
... hyperbolic x3o4x3o5*a tesselation  
... hyperbolic order 3 icosahedral tesselation  
... hyperbolic prismated order 3 icosahedral tesselation, hyperbolic runcinated order 3 icosahedral tesselation  
... hyperbolic rhombated order 3 icosahedral tesselation, hyperbolic cantelated order 3 icosahedral tesselation  
... hyperbolic x3o5x3o5*a tesselation  
... x3q3o, variation of truncated tetrahedron  1.442951
... x3β3o (?) ...
... x3β4o (?) ...
... x3β5o (?) ...
... x3u3o, variation of truncated tetrahedron  1.837117
... x3u4o, variation of truncated octahedron  2.549510
... x3v3o, variation of truncated tetrahedron, vertex figure of dattady  0.935414
... x3w3o, variation of truncated tetrahedron  2.120453
... x3w4o, variation of truncated octahedron, hull of rah, hull of snu  2.956796
... hyperbolic truncated alternated order-5 cubic tesselation  
... hyperbolic bitruncated alternated order-5 cubic tesselation  
... hyperbolic x3x3o3o4*a tesselation  
... hyperbolic x3x3o3o5*a tesselation  
... hyperbolic x3x3o3x4*a tesselation  
... hyperbolic x3x3o3x5*a tesselation  
... x3x3u, variation of truncated octahedron  2.091650
... hyperbolic x3x3x3o4*a tesselation  
... hyperbolic x3x3x3o5*a tesselation  
... hyperbolic x3x3x3x4*a tesselation  
... hyperbolic x3x3x3x5*a tesselation  
... hyperbolic x3x4o3o4*a tesselation  
... hyperbolic x3x4o3o5*a tesselation  
... hyperbolic x3x4o3x5*a tesselation  
... x3x4q, variation of great rhombicuboctahedron  2.645751
... hyperbolic x3x4x3o4*a tesselation  
... hyperbolic x3x4x3o5*a tesselation  
... hyperbolic x3x4x3x4*a tesselation  
... hyperbolic x3x4x3x5*a tesselation  
... hyperbolic truncated order 3 icosahedral tesselation  
... hyperbolic x3x5o3o5*a tesselation  
... hyperbolic prismatotruncated order 3 icosahedral tesselation, hyperbolic runcitruncated order 3 icosahedral tesselation  
... hyperbolic great rhombated order 3 icosahedral tesselation, hyperbolic cantitruncated order 3 icosahedral tesselation  
... hyperbolic omnitruncated order 3 icosahedral tesselation  
... hyperbolic x4o3o3o3*a tesselation  
... hyperbolic x4o3o4o3*a tesselation  
... hyperbolic order 5 cubic tesselation  
... hyperbolic x4o3o5o3*a tesselation  
... hyperbolic prismated order 5 cubic tesselation, hyperbolic runcinated order 5 cubic tesselation  
... hyperbolic rhombated order 5 cubic tesselation, hyperbolic cantelated order 5 cubic tesselation  
... hyperbolic prismatotruncated order 4 dodecahedral tesselation, hyperbolic runcitruncated order 4 dodecahedral tesselation  
... hyperbolic truncated order 5 cubic tesselation  
... hyperbolic prismatotruncated order 5 cubical tesselation, hyperbolic runcitruncated order 5 cubical tesselation  
... hyperbolic great rhombated order 5 cubic tesselation, hyperbolic cantitruncated order 5 cubic tesselation  
... hyperbolic omnitruncated order 5 cubical tesselation, hyperbolic omnitruncated order 4 dodecahedral tesselation  
... x5/2β5o (?) ...
... hyperbolic x5o3o3o3*a tesselation  
... hyperbolic x5o3o4o3*a tesselation  
... hyperbolic order 5 dodecahedral tesselation  
... hyperbolic x5o3o5o3*a tesselation  
... hyperbolic prismated order 5 dodecahedral tesselation, hyperbolic runcinated order 5 dodecahedral tesselation  
... hyperbolic rhombated order 5 dodecahedral tesselation, hyperbolic cantelated order 5 dodecahedral tesselation  
... hyperbolic truncated order 5 dodecahedral tesselation  
... hyperbolic prismatotruncated order 5 dodecahedral tesselation, hyperbolic runcitruncated order 5 dodecahedral tesselation  
... hyperbolic great rhombated order 5 dodecahedral tesselation, hyperbolic cantitruncated order 5 dodecahedral tesselation  
... hyperbolic omnitruncated order 5 dodecahedral tesselation  

Count of actually available polyhedra: 550


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----
 4D
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Acronym Name Circumradius
..., co || sirco, K-4.61 cuboctahedron atop small rhombicuboctahedron, cuboctahedral cupola  1.447009
..., co || tic, K-4.129 cuboctahedron atop truncated cube, cuboctahedral cap of small rhombated icositetrachoron  2.613126
..., co || toe, K-4.95 cuboctahedron atop truncated octahedron, cuboctahedral cap of rectified icosatetrachoron  1.732051
..., co || tut, K-4.48 cuboctahedron atop truncated tetrahedron, cuboctahedral cap of small rhombated pentachoron  1.183216
..., cube || co, K-4.35 cube atop cuboctahedron, cubical cupola  1.031784
..., cube || ike, K-4.21 cube atop icosahedron  1
..., cube || sirco, K-4.71 cube atop small rhombicuboctahedron, cubical cap of small disprismatotesseractihexadecachoron  1.485633
..., doe || id, K-4.77 dodecahedron atop icosidodecahedron, dodecahedral cupola  1.618034
..., doe || srid, K-4.152 dodecahedron atop small rhombicosidodecahedron, dodecahedral cap of small disprismatohexacosihecatonicosachoron  5.236068
..., id || srid, K-4.131 icosidodecahedron atop small rhombicosidodecahedron, icosidodecahedron cupola  3.077684
..., id || ti, K-4.158 icosidodecahedron atop truncated icosahedron, icosidodecahedral cap of small rhombated hexacosachoron  6.073594
..., ike || doe, K-4.78 icosahedron atop dodecahedron,  1.618034
..., ike || id, K-4.137 icosahedron atop icosidodecahedron, icosahedral cap of rectified hexacosachoron, icosahedral cupola  3.077684
..., K-4.105 square - octagon-prismatic wedge, square magnabicupolaic ring, {4} || op, {8} || squacu, square-cap of srit  1.847759
..., K-4.133 decagon - pentagonn-antiprismatic wedge, pentagonal gyrobicupolaic ring, {10} || pap, {5} || gyrated pecu  3.077684
..., K-4.154 decagon - pentagon-prismatic wedge, pentagonal orthobicupolaic ring, {10} || pip, {5} || pecu, 2/5-luna of stawros  5.236068
..., K-4.165 pentagon - decagon-prismatic wedge, pentagonal magnabicupolaic ring, {5} || dip, {10} || pecu  6.735034
..., K-4.27 hexagon - octahedral wedge, triangular gyrobicupolaic ring, {6} || oct, {3} || gyrated tricu, 1/6-luna of ico  1
..., K-4.51 triangle - hexagon-prismatic wedge, trigonal magnabicupolaic ring, {3} || hip, {6} || tricu  1.183216
..., K-4.6 triangle oct wedge, {3} || gyro trip, {3} || oct  0.774597
..., K-4.64 octagon - square-antiprismatic wedge, square gyrobicupolaic ring, {8} || squap, {4} || gyrated squacu  1.447009
..., K-4.73 octagon - cube wedge, square orthobicupolaic ring, {8} || cube, {4} || squacu, 1/4-luna of quawros  1.485634
..., K-4.8 square - tetrahedral wedge, digonal gyrobicupolaic ring, {4} || tet, line || ortho trip  0.774597
..., n-pyr-pyr {n}-pyramidal pyramid, {n}-scalene, n tet rosette sqrt[(4 sin2(π/n)-1)/(3 sin2(π/n)-1)]/2
..., oct || co || co || oct elongated icositetrachoron  
..., oct || co, K-4.29 octahedron atop cuboctahedron, half of icositetrachoron (its oct-first rotunda)  1
..., oct || cube, K-4.15 octahedron atop cube, octahedral antiprism, cubical antiprism  0.879465
..., oct || sirco, K-4.107 octahedron atop small rhombicuboctahedron, octahedral cap of small prismatotetracontoctachoron  1.847759
..., oct || tricu, K-4.30 octahedron atop trigonal cupola, 2/6-luna of icositetrachoron  1
..., oct || tut, K-4.52 octahedron atop truncated tetrahedron, octahedral cap of small rhombated pentachoron  1.183216
..., sirco || tic, K-4.100 small rhombicuboctahedron atop truncated cube, small-rhombicuboctahedral cap of small rhombated tesseract  1.847759
..., sirco || toe, K-4.75 small rhombicuboctahedron atop truncated octahedron  1.582890
..., srid || tid, K-4.159 small rhombicosidodecahedron atop truncated dodecahedron, small-rhombicosidodecahedral cap of small rhombated hecatonicosachoron  6.735034
..., tet || co, K-4.23 tetrahedron atop cuboctahedron, half of small prismatodecachoron, tetrahedral cap of small prismatodecachoron  1
..., tet || tut, K-4.56 tetrahedron atop truncated tetrahedron, tetrahedral cap of rectified tesseract  1.224745
..., ti || srid, K-4.126 truncated icosahedron atop small rhombicosidodecahedron  2.485450
..., ti || tid, K-4.151 truncated icosahedron atop truncated dodecahedron  3.835128
..., tic || girco, K-4.128 truncated cube atop great rhombicuboctahedron, truncated-cubical cap of prismatorhombated hexadecachoron, cuboctahedral supra-cap of small rhombated icositetrachoron  2.613126
..., tic || toe, K-4.98 truncated cube atop truncated octahedron  1.785406
..., tid || grid, K-4.173 truncated dodecahedron atop great rhombicosidodecahedron, truncated-dodecahedral cap of prismatorhombated hexacosichoron  9.744610
..., toe || girco, K-4.149 truncated octahedron atop great rhombicuboctahedron, truncated octahedral cap of prismatorhombated icositetrachoron  3.498949
..., tut || toe, K-4.76 truncated tetrahedron atop truncated octahedron, truncated-tetrahedral cap of prismatorhombated pentachoron  1.612452
... 1/10-luna of hexacosachoron  1.618034
10,n-dip decagon - n-gon duoprism sqrt[(3+sqrt(5))/2+1/(4 sin2(π/n))]
12,n-dip dodecagon - n-gon duoprism sqrt[2+sqrt(3)+1/(4 sin2(π/n))]
... 2/10-luna of hexacosachoron  1.618034
... 2cont (?)  3.414214
... 2deca (?)  1.414214
... 2dittafady (?)  1.414214
... 2ex (?)  1.618034
... 2ex+120ike (?)  1.618034
... 2firgaghi (?)  1.070466
... 2firgogishi (?)  0.661585
... 2firp (?)  0.774597
... 2firsashi (?)  2.802517
... 2firt (?)  1.224745
... 2fix (?)  1.618034
... 2frico (?)  1.732051
... 2fry (?)  4.534568
... 2gadtifady (?)  0.874032
... 2gaghi (?)  1
... 2gaghi+2paphacki (?)  1
... 2gahi (?)  1.618034
... 2gashi (?)  0.618034
... 2gax (?)  0.618034
... 2gidditpix+2dithix (?)  1.732051
... 2gifdahihox (?)  1
... 2gippapivady (?)  0.726543
... 2giprapivady (?)  1.902113
... 2gishi (?)  0.618034
... 2gitphi (?)  0.874032
... 2gofix (?)  0.618034
... 2gogishi (?)  0.540182
... 2gohi (?)  1.618034
... 2grahi (?) 11.252107
... 2grico (?)  4.299451
... 2grip (?)  1.843909
... 2grit (?)  3.005916
... 2grix (?)  9.124101
... 2hex+8oct (?)  0.707107
... 2hi (?)  3.702459
... 2huhoh+3tes+8co (?)  1
... 2ico (?)  1
... 2ico+2gico (?)  1
... 2ico+48{4}+128{3} (?)  1
2n,2m-dip 2n-gonal - 2m-gonal duoprism sqrt[1/(4 sin2(π/2n))+1/(4 sin2(π/2m))]
2n,m-dip 2n-gonal - m-gonal duoprism sqrt[1/(4 sin2(π/2n))+1/(4 sin2(π/m))]
... 2n-gon - n-antiprismatic wedge, n-gonal gyrobicupolaic ring, {2n} || n-antiprism, {n} || gyrated n-cupola sqrt[(3-2 cos(π/n))/(5-6 cos(π/n))]
... 2n-gon - n-prismatic wedge, n-gonal orthobicupolaic ring, {2n} || n-prism, {n} || n-cupola sqrt[(5+2 cos(π/n)-4cos2(π/n))/(8-12 cos2(π/n))]
... 2oh (?)  1
... 2papvixhi (?)  1.902113
... 2pen (?)  0.632456
... 2prahi (?)  8.278950
... 2prapvixhi (?)  1.175571
... 2prico (?)  3.498949
... 2prip (?)  1.612452
... 2prit (?)  2.370932
... 2prix (?)  9.744610
... 2proh (?)  2.613126
... 2quiphi (?)  0.726543
... 2rahi (?)  4.534568
... 2rahi+2400tet (?)  4.534568
... 2rap (?)  0.774597
... 2rap+20tet (?)  0.774597
... 2rico (?)  1.732051
... 2rico+64{6}+128{3} (?)  1.732051
... 2rico+64{6}+192{3} (?)  1.732051
... 2rit+64tet (?)  1.224745
... 2rox (?)  3.077684
... 2rox+1440{5}+2400{3} (?)  3.077684
... 2sadtifady (?)  2.288246
... 2sidditpix+2dithix (?)  1.732051
... 2sifdahihox (?)  1
... 2sishi (?)  1
... 2sishi+2paphicki (?)  1
... 2sitphi (?)  2.288246
... 2sophi (?)  3.077684
... 2spapivady (?)  1.175571
... 2sprapivady (?)  3.077684
... 2srahi (?)  6.735034
... 2srahi+1440{10}+4800{3} (?)  6.735034
... 2srahi+2400trip (?)  6.735034
... 2srico (?)  2.613126
... 2srico+144{8}+576{3} (?)  2.613126
... 2srico+192trip (?)  2.613126
... 2srip (?)  1.183216
... 2srip+20{6}+40{3} (?)  1.183216
... 2srip+20{6}+60{3} (?)  1.183216
... 2srip+20trip (?)  1.183216
... 2srit (?)  1.847759
... 2srit+48{8}+128{3} (?)  1.847759
... 2srit+64trip (?)  1.847759
... 2srix (?)  6.073594
... 2srix+2400{6}+4800{3} (?)  6.073594
... 2srix+2400{6}+7200{3} (?)  6.073594
... 2tah (?)  2.121320
... 2tes (?)  1
... 2thex (?)  1.581139
... 2tho (?)  0.707107
... 2tho+24{4} (?)  0.707107
... 2xhi (?)  7.579634
3,n-dip, K-4.175 triangle - n-gon duoprism, n-gon - n-prismatic wedge sqrt[1/3+1/(4 sin2(π/n))]
... 3/10-luna of hexacosachoron  1.618034
... 3pen (?)  0.632456
4,2n-dip square - 2n-gon duoprism sqrt[1/2+1/(4 sin2(π/2n))]
4,n-dip, K-4.177 square - n-gonal duoprism sqrt[1/2+1/(4 sin2(π/n))]
... 4/10-luna of hexacosachoron  1.618034
... 4ike+gad (?)  0.951057
... 4pen+160{3} (?)  0.632456
5,n-dip pentagon - n-gon duoprism sqrt[(5+sqrt(5))/10+1/(4 sin2(π/n))]
6,n-dip hexagon - n-gonal duoprism sqrt[1+1/(4 sin2(π/n))]
... hexagon - triangle-prismatic wedge, triangle orthobicupolaic ring, {6} || trip, {3} || tricu  1
... 6tes (?)  1
8,n-dip octagon - n-gonal duoprism sqrt[(2+sqrt(2))/2+1/(4 sin2(π/n))]
afdec antifrustic distetracontoctachoron  1.414214
affip antifustric prismatochoron, compound of 16 hiddip  1.414214
affixthi antifrustic hexacositrishecatonicosachoron  2.236068
afpox antifustric prismatohexacosachoron, compound of 60 gippid  2.236068
aurap augmented rectified pentachoron  
badhidy (old: buthi) blendic dishecatonicosa-dishecatonicosachoron, compound of tigaghi and quit sishi  2
badohi blendic dishecatonicosachoron  2
batitit bitruncated tesseractic tetracomb  
bicyte gysrit bicyclotetragyrated small rhombitesseract  1.847759
bidex bi-icositetradiminished hexacosachoron  1.618034
bidsrip bidiminished small rhombated pentachoron  1.183216
bipgy srit bipara(bi)gyrated small rhombitesseract, pseudo cantellated tesseract  1.847759
birgax bi-icositetra-replinished grand hexacosachoron  0.618034
bithi blendic trishecatonicosachoron  2
bricot birectified icositetrachoric tetracomb, birectified demitesseractic tetracomb  
chi chirohecatonicosachoron, chiral compound of 5 ico  1
... ofx3xoo4ooo&#xt  
... bistratic co-cap of prip, tut-diminished prip  1.612452
cont tetracontoctachoron, octagonny, bitruncated icositetrachoron  3.414214
cope, K-4.43 cuboctahedron prism  1.118034
coqroc tetracontoctiquasirhombated tetracontoctachoron  1.325654
cotcope cuboctatruncated-cuboctahedron prism, cubitruncated-cuboctahedron prism  1.414214
croc tetracontoctirhombated tetracontoctachoron  3.200413
cubpy, K-4.26 cubical pyramid, vertex-pyramid of ico  1
cypit cyclopentachoric tetrachomb, pentachoric-dispentachoric tetracomb, Delone complex of lattice A4  
cypropit cycloprismatorhombated pentachoric tetrachomb, great prismatodispentachoric tetracomb  
cyte gysrit cyclotetragyrated small rhombitesseract  1.847759
cyted spic cyclotetradiminished small prismatotetracontoctachoron  1.847759
cyted srit cyclotetradiminished small rhombitesseract, cyclotetraugmented octagonal duoprism  1.847759
cytid rico cyclotridiminished rectified-icositetrachoron, metatridiminished rectified-icositetrachoron  1.732051
cytopit cyclotruncated pentachoric tetracomb, small truncated-pentachoric tetracomb  
dadip (old: dedip) decagon-decagon duoprism  2.288246
dahi dishecatonicosachoron  3
dahiquatady dishecatonicosiquasitruncated dishecatonicosachoron  4.134026
dahitady dishecatonicositruncated dishecatonicosachoron  2.431014
dappip, K-4.96 decagonal-antiprism prism  1.747560
dard tipady diretroditetrahedronary prismatodishecatonicosachoron  1.414214
datap ditetrahedronary prismatochoron, compound of 100 hiddip  1.414214
datcathi ditetrahedronary coincidic trishecatonicosachoron  1.414214
dattady ditetrahedronary dishecatonicosachoron  1.414214
dattathi ditetrahedronary trishecatonicosachoron  1.414214
deca decachoron, bitruncated pentachoron, equatorial cross-section of (vertex first) q-pent  1.414214
diddip dodecadodecahedron prism  1.118034
didhi dodecahedronary dishecatonicosachoron  1
... bistratic trip-cap of srip, {3}-diminished small rhombated pentachoron  1.183216
diquitdi disicositetraquasitruncated disicositetrachoron  1.608038
ditdi disicositetratruncated disicositetrachoron  2.326846
ditdiddip ditrigonal-dodecadodecahedron prism  1
dithix ditrigonary hecatonicosihexacosichoron  1.732051
dittadphi ditetrahedronary disprismatohecatonicosachoron  1.414214
dittady ditrigonary dishecatonicosachoron  1
... dittady+dox (?)  1
dittafady ditetrahedrofissary dishecatonicosachoron  1.414214
doc distetracontoctachoron  2.449490
dod honho disoctidishemioctintercepted hemioctachoron  1
doh honho disoctihemihexadekintercepted hemioctachoron  1
dohitipady dishecatonicositruncated prismatodishecatonicosachoron  4.472136
dope, K-4.74 dodecahedron prism  1.487792
dopix dodecahedronary prismatohexacosachoron, compound of 60 spid  1
dox (old: gex) dodecahedronary hexacosachoron (great hexacosachoron), compound of 25 ico  1
duhd decahemidecachoron  1
ebdah hithi exoblendic dishemihecatonicostrishecatonicosachoron  2
ebuthi exotic blendic tetrishecatonicosachoron  2
efdit xithi exofissary ditrigonal hexacositrishecatonicosachoron  1.732051
ex hexacosachoron, 600-cell, hydrochoron  1.618034
... ex+fix (?)  1.618034
... ex+gohi+120id (?)  1.618034
firgaghi faceted rectified great grand hecatonicosachoron  1.070466
firgogishi facetorectified great grand stellated hecatonicosachoron  0.661585
firp faceted rectified pentachoron  0.774597
... firp+rap+15{4} (?)  0.774597
firsashi faceted rectified small stellated hecatonicosachoron  2.802517
firt facetorectified tesseract  1.224745
fix icosahedral hecatonicosachoron, faceted hexacosichoron  1.618034
... fix+gahi+120id (?)  1.618034
frico facetorectified icositetrachoron  1.732051
frogfix faceted rectified great faceted hexacosichoron  0.726543
frox faceted rectified hexacosichoron  3.077684
... frox+600 2thah (?)  3.077684
fry facetorectified hecatonicosachoron  4.534568
gabbadipady great blendic disprismatodishecatonicosachoron  2
... gabbadipady+ganbathi (?), sanbathi+tigaghi (?)  2
gabbathi great blendic trishecatonicosachoron  2
gabippady (old: gabbippady) great blendic prismatodishecatonicosachoron  2
gadatady grand ditetrahedral dishecatonicosachoron  0.874032
gadathiphi grand ditetrahedronary hecatonicosaprismatohecatonicosachoron  0.874032
... gadathiphi+600 2tet (?)  0.874032
gaddiddip great-dodekicosidodecahedron prism  0.874032
gaddip great-dodecahedron prism  1.074481
gaddit thix grand ditrigonal trishecatonicosihexacosachoron  1.732051
gadixady great dishexacosadishecatonicosachoron  3.139124
gadixhix (old: gixhix) great dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not sadixhix)  1
gadsadox great disnub dihexacosachoron  0.726543
gadtap great ditetrahedronary prismatochoron, compound of 36 stadidip  0.874032
gadtaxady grand ditetrahedronary hexacosadishecatonicosachoron  0.874032
gadtaxhi great ditetrahedronary hexacosihecatonicosachoron  0.874032
gadtef pixady great ditetrahedronary exofissary prismatohexacosadishecatonicosachoron  0.874032
gadtifady (old: gadtafady) great ditetrahedronarofissary dishecatonicosachoron  0.874032
gaedit pathi grand exoditetrahedronary prismatotriakishecatonicosachoron  0.874032
gaghi great grand hecatonicosachoron  1
... gaghi+didhi (?)  1
... gaghi+idhi (?)  1
... gaghi+paphacki+sridaphi (?)  1
... gaghi+sridixhi (?)  1
gahi grand hecatonicosachoron  1.618034
... gahi+gohi (?)  1.618034
ganbathi great spinoblendic trishecatonicosachoron  2
ganbippady great spinoblendic prismatodishecatonicosachoron  2
gap great antiprism, grand antiprism, pentagonal double antiprismoid  1.618034
gapript great pseudorhombated prismatotesseract  0.765367
... gapript+16 2thah (?)  0.765367
gapthi grand prismatotriakishecatonicosachoron  2.400819
gaqri great quasirhombated icositetrachoron  1.230739
gaqrigafix great quasirhombated great faceted hexacosachoron  1.080363
gaqrigaghi great quasirhombated great grand hecatonicosachoron  1.679184
gaqrigagishi great quasirhombated great grand stellated hecatonicosachoron  1.179024
gaqrigashi great quasirhombated great stellated hecatonicosachoron  2.700333
gaqript grand quasirhombated prismatotesseract  0.765367
gaqrisashi great quasirhombated small stellated hecatonicosachoron  5.018002
gaqrit great quasirhombated tesseract  1.401594
gaquapac great quasiprismatotetracontoctachoron  1.127864
gaquatiddip great-quasitruncated-icosidodecahedron prism  1.136572
gaquidapixhi great quasidisprismatohexacosihecatonicosachoron  1.581630
gaquidipdy grand quasidisprismatodishecatonicosachoron  1.695697
gaquidphihi great quasidisprismatohecatonicosihecatonicosachoron  4.242641
gaquidpoth great quasidisprismatotesseractihexadecachoron  1.938391
garawv hixhi great retrosphenoverted hecatonicosihexacosihecatonicosachoron  1.054256
gard tadhix grand retroditetrahedronary dishecatonicosihexacosachoron  0.874032
gardatady grand retroditetrahedral dishecatonicosachoron  0.874032
... gardatady+1440{5}  0.874032
gardatathi grand retroditetrahedronary trishecatonicosachoron  0.874032
gardtapaxhi grand retroditetrahedronary hexacosidishecatonicosachoron  0.874032
gardtaxady grand retroditetrahedronary hexacosidishecatonicosachoron  0.874032
garpit grand rhombated dishexadecachoron  1.847759
gashi grand stellated hecatonicosachoron  0.618034
gax grand hexacosachoron  0.618034
... gax+gashi+120gid (?)  0.618034
... gax+gofix (?)  0.618034
geedatepthi great exoditetrahedrary prismatotrishecatonicosachoron  1.414214
gefdit dixdy great exofissary ditrigonal dihexacosadihecatonicosachoron  1.732051
gefidtethi great exofissary ditetrahedronary tetrakishecatonicosachoron  0.874032
gefirdit xethi great exofissary retroditetrahedronary hexacositrishecatonicosachoron  1.414214
gefradit thix great exofissary retroditetrahedronary triakishecatonicosihexacosachoron  0.874032
gefridit xethi great exofissary retroinverted ditetrahedronary hexacositrishecatonicosachoron  1.414214
getit dixady great tritrigonal dihexacosidihecatonicosachoron  1.136572
getit phiddix great tritrigonal prismatohecatonicosidishexacosachoron  1.136572
getit pixady great tritrigonal prismatohexacosidihecatonicosachoron  1.136572
getit thix great tritrigonal trishecatonicosihexacosachoron  1.136572
getit xethi great tritrigonal hexacositrishecatonicosachoron  1.136572
ghahoh great hexadecahemihexadecachoron  1
ghihi great hecatonicosihecatonicosachoron  0.854102
ghipady great hecatonicosiprismatodishecatonicosachoron  4.087567
gic great tetracontoctachoron, octagrammy  0.585786
gichado great cubihexadecadisoctachoron  1.174172
gico great icositetrachoron, compound of 3 tes  1
... gico+8co+16 2thah (?)  1
gid thipady great ditrigonal hecatonicosiprismatodishecatonicosachoron  4.087567
gid tipathi great ditrigonal prismatotriakishecatonicosachoron  2.920251
gidard tipady great diretroditetrahedronary prismatodishecatonicosachoron  1.414214
giddatady great ditetrahedronary dishecatonicosachoron  1.414214
giddic great distetracontoctachoron  0.765367
giddip great-icosidodecahedron prism  0.794963
giddit thix great ditrigonal trishecatonicosihexacosachoron  1.732051
gidditdiddip great-ditrigonal-dodekicosidodecahedron prism  1.239546
gidditpix great ditrigonary prismatohexacosichoron  1.732051
gidhiquit paddy great dishecatonicosaquasitruncated prismatodishecatonicosachoron  2.140933
gidipthi great dipental trishecatonicosachoron  1.328131
gidpith great disprismatotesseractihexadecachoron, great prismated tesseract, omnitruncated tesseract  3.498949
gidpixathi great dipentagonal hexacositrihecatonicosachoron  1.328131
gidpixhi great disprismatohexacosihecatonicosachoron, omnitruncated hecatonicosachoron, omnitruncated hexacosachoron 12.786651
gidthidy hi great ditrigonal hecatonicosadishecatonicosihecatonicosachoron  1.732051
gidthixhi great ditrigonal hecatonicosihexacosihecatonicosachoron  3.139124
gidtidap great-ditrigonal-icosidodecahedron antiprism ...
gidtiddip great-ditrigonal-icosidodecahedron prism  1
gidtixhi great ditrigonary hexacosihecatonicosachoron  1
... gidtixhi+dox (?)  1
gifdahihox great fissary dodecahedronary hecatonicosihemihexacosachoron  1
giidip great-icosicosidodecahedron prism  1.239546
gik vipathi great skewverted prismatotriakishecatonicosachoron  2.828427
gik vixathi great skewverted hexacositriakishecatonicosachoro  2.013884
gikepy great-icosahedral pyramid, vertex cap of gax  0.618034
gikkiv datapixady great skewverted ditrigonary prismatohexacosadishecatonicosachoron  2.013884
gikviphado great skewverted prismatohexadecadisoctachoron  1.414214
gipe great-icosahedron prism  0.771681
giphado great prismatohexadecadisoctachoron  1.082392
giphiddix great prismatohecatonicosadishexacosachoron  1.624598
giphidy great prismated hecatonicosadishecatonicosachoron  1.348948
giphihix great prismatohecatonicosahecatonicosahexacosachoron  1.893038
giphixhi great prismatohecatonicosihexacosihecatonicosachoron  2.920251
gippapivady great pentagrammal antiprismatoverted dishecatonicosachoron  0.726543
gippic great prismatotetracontoctachoron, omnitruncated icositetrachoron  5.169905
gippid great prismatodecachoron  2.236068
gippixady great prismatohexacosadishecatonicosachoron  1.207883
gippixhihy great prismatohexacosihecatonicosihecatonicosachoron  1.021064
giprapivady great pentagonal retroprismatoverted dishecatonicosachoron  1.902113
gipriphi great pseudorhombated prismatohecatonicosachoron  0.799575
... gipriphi+600 2thah (?)  0.799575
gipthi great prismatotriakishecatonicosachoron  3.531591
gipti great prismatotriakisicositetrachoron  1.938391
girc great retrotetracontoctachoron  0.765367
gircope, K-4.125 great-rhombicuboctahedron prism  2.370932
girfaddic great retrofrustic distetracontoctachoron  1.414214
girfix great rhombated faceted hexacosachoron  7.404918
girfixthi great retrofrustic hexacositrishecatonicosachoron  2.236068
girsiddip great-(inverted)-retrosnub-icosidodecahedron prism  
gisdiddip great-snub-dodekicosidodecahedron prism  
gisdipthi great stellated dipental trishecatonicosachoron  1.328131
gishi great stellated hecatonicosachoron  0.618034
... gishi+gashi (?)  0.618034
gisiddip great-inverted-snub-icosidodecahedron prism  
gisp great swirlprism  0.618034
gissiddip great-stellated-dodecahedron prism  0.732444
git thixady great tritrigonal hecatonicosihexacosidishecatonicosachoron  1.136572
gitphi great tripesic hecatonicosachoron  0.874032
gitpodady great (intersected) tripesic dodecahedronary dishecatonicosachoron  1
gittith great tesseractitesseractihexadecachoron  0.890446
gixathi great hexacositriakishecatonicosachoron  3.804226
gixhi great hexacosihecatonicosachoron  1.244649
gixhidy great hexacosihecatonicosadishecatonicosachoron  1.464888
gixhihy great hexacosihecatonicosihecatonicosachoron  0.763932
gixipady great hexacosiprismatodishecatonicosachoron  1.624598
goccope great-cubicuboctahedron prism  0.890446
gofix great icosahedral hecatonicosachoron, great faceted hexacosichoron  0.618034
... gofix+gishi+120gid (?)  0.618034
gogishi great grand stellated hecatonicosachoron  0.540182
gohi great hecatonicosachoron  1.618034
gohihix great hecatonicosihecatonicosihexacosachoron  1.464888
gohiny great hecatonicosintercepted hecatonicosachoron  0.661585
gondip great octagonal spinoduoprism  0.890446
goquidipdy great quasidisprismatodishecatonicosachoron  6.566933
gosiddip great-snub-icosidodecahedron prism  
gotdatixhi great toroidoditrigonary hexacosihecatonicosachoron  1.732051
gotditpix great toroidoditrigonary prismatohexacosichoron  1.732051
grad tathi great retroditetrahedronary trishecatonicosachoron  1.414214
graggix great rhombated grand hexacosachoron  1.658546
graghi great rhombated grand hecatonicosachoron  4.550627
grahi great rhombated hecatonicosachoron, cantitruncated hecatonicosachoron 11.252107
graphi grand retropental hecatonicosachoron  0.726543
grawv ditathi great retrosphenoverted ditrigonary triakishecatonicosachoron  2.093315
grawv hidy great retrosphenoverted hecatonicosadishecatonicosachoron  1.589926
grawv hixhi great retrosphenoverted hecatonicosihexacosihecatonicosachoron  1.513868
grawvathi great retrosphenoverted triakishecatonicosachoron  2.572554
grawvixady great retrosphenoverted hexacosadishecatonicosachoron  2.036148
grico great rhombated icositetrachoron, cantitruncated icositetrachoron  4.299451
gridaphi great retroinverted dodecahedronary prismatohecatonicosachoron  1
griddip, K-4.150 great-rhombicosidodecahedron prism  3.835128
gridixhi great retroinverted dodecahedronary hexacosahecatonicosachoron  1
gridtathi great retroinverted ditetrahedronary trishecatonicosachoron  1.414214
grip great rhombated pentachoron, cantitruncated pentachoron  1.843909
griphi great retropental hecatonicosachoron  1.175571
grit great rhombated tesseract, cantitruncated tesseract  3.005916
grix great rhombated hexacosachoron, cantitruncated hexacosachoron  9.124101
guti great tetrakisicositetrachoron  2.326846
gwav ditathi great sphenoverted ditrigonary triakishecatonicosachoron  2.036148
gwavathi great sphenoverted triakishecatonicosachoron  1.027486
gwavixady great sphenoverted hexacosadishecatonicosachoron  0.799575
haddet demidistesseract, compound of 2 hex  0.707107
hadedip hexagon - decagon duoprism  1.902113
happip, K-4.53 hexagonal-antiprism prism  1.197085
hex, K-4.2 hexadecachoron, tetracross (β4), hemitesseract, hemioctachoron, 16-cell, aerochoron, tetrahedral antiprism  0.707107
... hex+8oct (?)  0.707107
hext hexadecachoric tetracomb, demitesseractic tetracomb  
hi hecatonicosachoron, 120-cell, dodecacontachoron, cosmochoron  3.702459
hiddip hexagonal-hexagonal duoprism  1.414214
hihiquatady hecatonicosihecatonicosiquasitruncated dishecatonicosachoron  3.605551
hinhi hecatonicosintercepted hecatonicosachoron  2.802517
hinnit hexadekintercepted tesseract  1.224745
hitwadip hexagon - dodecagon duoprism  2.175328
hixady hecatonicosihexacosidishecatonicosachoron  3
hixquathix hecatonicosihexacosaquasitruncated hecatonicosihexacosachoron  2.174739
hixquitixhi hecatonicosihexacosiquasitruncated hexacosihecatonicosachoron  2.351141
hixquitphix hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosachoron  2.483382
hixtaphix hecatonicosihexacositruncated prismatohecatonicosihexacosachoron  7.735167
hixthix hecatonicosihexacositruncated hecatonicosihexacosachoron  6.186316
hixtixhi hecatonicosihexacositruncated hexacosihecatonicosachoron  3.804226
hodho hexadecoctidishemioctachoron  1
hodip hexagon - octagon duoprism  1.645329
hoh honho hexadecoctihemihexadekintercepted hemioctachoron  1
hohoh hexadecoctihemihexadecachoron  1
hossdap hollow small stellated dodecahedral antiprism, pseudo sissid atop pseudo sissid  0.754386
hot thibbit hexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
huhoh hexadecahemihexadecachoron  1
ico icositetrachoron, 24-cell, xylochoron, rectified hexadecachoron, birectified tesseract  1
... ico+gico+72{4} (?)  1
... ico+gico+24co (?)  1
icot icositetrachoric tetracomb, Voronoi complex of body-centered tesseractic (bct) lattice  
... bistratic icosidodecahedron-first cap of rectified hecatonicosachoron  4.534568
... icosiena-diminished vertex-first-rotunda of ex  1.618034
... tristratic icosidodecahedron-first cap of small rhombihexacosachoron  6.073594
iddip, K-4.90 icosidodecahedron prism  1.693527
idhi invertidodecahedronary hecatonicosachoron  1
ididdip icosidodecadodecahedron prism  1
idtiddip icosidodecatruncated-icosidodecahedron prism, icositruncated-dodecadodecahedron prism  2.061553
ihi icositetrahemiicositetrachoron  1
... bistratic icosahedron-first cap of truncated hexacosachoron  4.643523
ikedpy icosahedral dipyramid  
ikepy, K-4.84 icosahedral pyramid, vertex cap of hexacosachoron  1.618034
ini icositetrintercepted icositetrachoron  1.732051
inpac icositetraintercepted prismatotetracontaoctachoron  1.847759
... inpac+72{4} (?)  1.847759
ipe, K-4.36 icosahedron prism  1.074481
ipixady invertopental hexacosadishecatonicosachoron  3.077684
iquatoc icositetraquasitruncated tetracontoctachoron  2
iquatpic icositetraquasitruncated prismatotetracontoctachoron  2.828427
isdiddip inverted-snub-dodecadodecahedron prism  
lifpipixhi polar facetopental prismatohexacosahecatonicosachoron  3.077684
mardatathi medial retroditetrahedral triakishecatonicosachoron  1.414214
middit thix medial ditrigonal trishecatonicosihexacosachoron  1.732051
mif pixady circumfacetopental hexacosadishecatonicosachoron  4.534568
mipthi medial prismatotriakishecatonicosachoron  3.199386
mix medial hexacosachoron, mete-star, compound of 120 pen  0.632456
mohiny medial hecatonicosintercepted hecatonicosachoron  1.070466
mrawv hixhi medial retrosphenoverted hecatonicosihexacosihecatonicosachoron  3.963358
mriphi medial retropental hecatonicosachoron  1.902113
n,m-dip n-gon - m-gon duoprism sqrt[1/(4 sin2(π/n))+1/(4 sin2(π/m))]
n,n-dip n-gon - n-gon duoprism 1/(sqrt(2)*sin(π/n))
n/d,m/b-dip n/d-gram - m/b-gram duoprism sqrt[1/(4 sin2(π d/n))+1/(4 sin2(π b/m))]
n/d-appip n/d-antiprism prism sqrt[(5-4 cos(π d/n))/(8–8 cos(π d/n))]
n/d-pyp n/d-pyramidal prism, line || n/d-prism sqrt[1/4+1/(4-1/sin^2[π d/n])]
... n-gon - 2n-prismatic wedge, n-gonal magnabicupolaic ring, {n} || 2n-prism, {2n} || n-cupola sqrt[(2 cos2(π/n)-2 cos(π/n)-3)/(6 cos2(π/n)-2)]
n-appip, K-4.176 n-antiprism prism sqrt[(5-4 cos(π/n))/(8–8 cos(π/n))]
n-cu || inv gyro n-cu n-cupola atop inverted gyrated n-cupola  
nipixady intercepted invertopental hexacosadishecatonicosachoron  3.077684
n-pyap n-pyramidal antiprism,  
... hyperbolic order 3 hecatonicosachoric tesselation  
... o3o3β4o (?) ...
... o3o3β4x (?) ...
... o3o3β5o (?) ...
... o3o3β5x (?) ...
... o3β3o4β (?) ...
... o3β3o5β (?) ...
... o3β3β3o (?) ...
... o3β3β4o (?) ...
... o3β3β4β (?) ...
... o3β3β5o (?) ...
... o3β3β5β (?) ...
... o3β3x3o (?) ...
... o3β3x4o (?) ...
... o3β3x4β (?) ...
... o3β3x4x (?) ...
... o3β3x5o (?) ...
... o3β3x5β (?) ...
... o3β3x5x (?) ...
... o3β4o3o (?) ...
... o3β4β3o (?) ...
... o3β4x3o (?) ...
... o3x3β4o (?) ...
... o3x3β5o (?) ...
... hyperbolic order 4 hecatonicosachoric tesselation  
oappip, K-4.65 octagonal-antiprism prism  1.463603
... omni-augmented (5,20)-duoprism  
... ofx3xoo3ooo&#xt, vertex figure of sadit  
octpy, K-4.3 octahedral pyramid, half of hex (its vertex-first rotunda)  0.707107
odedip octagon-decagon duoprism  2.079697
odho octidishemioctachoron  1
odip octagon-octagon duoprism  1.847759
odop octagonal diorthoprism, compound of 2 sodip  1.485633
ofiddady omnifacetododecahedronary dishecatonicosachoron  1
ofpipixhi omnifacetopental prismatohexacosahecatonicosachoron  0.726543
oh octihemihexadecachoron  1
ohope octahemioctahedron prism  1.118034
ohuhoh octihexadecahemihexadecachoron  1
omfapaxady omnicircumfacetopental hexacosadishecatonicosachoron  0.726543
ondip octagonal spinoduoprism  1.485633
ope, K-4.11 octahedron prism  0.866025
ostodip octagon-octagram duoprism  1.414214
otathisbit omnitruncated-trihexagonal-square duoprismatic tetracomb  
otbaquitit octagonnally tetrablended quasitruncated tesseract  0.615370
otbott octagonnally tetrablended truncated tesseract  2.149726
otcypit omnitruncated cyclopentachoric tetracomb, great-prismatodecachoric tetracomb, Voronoi complex of lattice A4*  
otwadip octagon - dodecagon duoprism  2.332200
owau prit octa-augmented prismatorhombated tesseract  
pabdirico parabidiminished rectified icosatetrachoron, bistratic co-first central segment of rico  1.732051
padedip pentagon - decagon duoprism  1.828016
padiap prismatic double inverted antiprism, pentagrammic double antiprismoid  0.618034
padohi prismatodishecatonicosachoron  2.497212
paphacki pentagon-prismatic heptacosicosachoron, great prismasaurus  1
paphicki pentagram-prismatic heptacosicosachoron, small prismasaurus  1
pappip, K-4.39 pentagonal-antiprism prism  1.074481
pappy pentagon-antiprismatical pyramid  1.618034
papvixhi pentagonal prismatoverted hexacosahecatonicosachoron  1.902113
paqraghi prismatoquasirhombated grand hecatonicosachoron  3.199386
paqri prismatoquasirhombated icositetrachoron  1.938391
paqrigafix (old: paquerfix) prismatoquasirhombated great facetted hexacosachoron  1.878261
paqrigagishi (old: paqrahi) prismatoquasirhombated great grand stellated hecatonicosachoron  1.207883
paqrit prismatoquasirhombated tesseract  1.174172
pedip pentagon-pentagon duoprism  1.203002
pen, K-4.1 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
peppyp, K-4.38 pentagon-pyramidal prism, J2 prism, line || pip  1.074481
peppypy, 5pyr-pyr, K-4.86 pentagon-pyramidal pyramid, pentagon-scalene, 5 tet rosette  1.618034
phiddip pentagon hexagon duoprism  1.312862
pinnip prismatointercepted pentachoron  0.774597
... pinnip+5 2thah (?)  0.774597
pinnipdip pentaintercepted prismatodispentachoron, prismatopentaintercepted dispentachoron  1.183216
... pinnipdip+15{4} (?)  1.183216
pinpith prismatointercepted prismatotesseractihexadecachoron  1.847759
... pinpith+48{4}  1.847759
pinpixhi prismatointercepted prismatohexacontahecatonicosachoron  6.735034
... pinpixhi+1800{4} (?)  6.735034
piphid prismatopentahemidecachoron  1
... piphid+10tet (?)  1
pippy, K-4.141 pentagonal-prismatic pyramid, vertex pyramid of the rectified hexacosachoron  3.077684
pirgaghi prismatorhombated great grand hecatonicosachoron  1.893038
pirghi prismatorhombated great hecatonicosachoron  4.917351
pirpop pseudorhombated prismatopentachoron  1.183216
... pirpop+5 2thah (?)  1.183216
pirshi prismatorhombated (small) stellated hecatonicosachoron  5.515107
pistadedip pentagon - decagram duoprism  1.051462
pistodip pentagon - octagram duoprism  1.008216
pittip prismatotriakispentachoron  1.612452
podip pentagon - octagon duoprism  1.559075
prahi prismatorhombated hecatonicosachoron, runcitruncated hexacosachoron  8.278950
prap vixhi pentagonal retroprismatoverted hexacosahecatonicosachoron  1.175571
prarsi prismatorhombiretrosnub icositetrachoron  1.328131
prico prismatorhombated icositetrachoron, runcitruncated icositetrachoron  3.498949
prip prismatorhombated pentachoron, runcitruncated pentachoron  1.612452
prissi prismatorhombisnub icositetrachoron, prismato-semistruncated icositetrachoron  2.497212
prit prismatorhombated tesseract, prismatotruncated hexadecachoron, runcitruncated hexadecachoron  2.370932
prix prismatorhombated hexacosichoron, runcitruncated hecatonicosachoron  9.744610
proh prismatorhombated hexadecachoron, prismatotruncated tesseract, runcitruncated tesseract  2.613126
... dodeca-diminished vertex-first rotunda of hexacosachoron  1.618034
... n-prism pyramid, general vertex pyramid of o-3-x-3-o-n-o 1/sqrt[3 - 1/sin2(π/n)]
... q x3o3o, variation of tetrahedron prism, vertex figure of rectified penteract  0.935414
qraghi quasirhombated grand hecatonicosachoron  1.662508
qrahi quasirhombated hecatonicosachoron  0.799575
qrico quasirhombated icositetrachoron  1.082392
qriddip quasi-rhombicosidodecahedron prism  0.874032
qrit quasirhombated tesseract  0.765367
quad pagaxhi quasidisprismatogrand hexacosihecatonicosachoron  0.874032
quadippady quasidisprismatodishecatonicosachoron, Unholey Terror  1.414214
quawros quadratic ({8} || cube-)wedge rosette, bridge cyclotetraaugmented tesseract, ring-augmented tesseract, cube || {8} || cube, {4} || squobcu || {4}  
quercope quasirhombicuboctahedron prism  0.890446
querfix quasirhombated faceted hexacosachoron  1.027486
quidpith (old: qippith) quasi(dis)prismatotesseractihexadecachoron  0.890446
quidpixhi quasidisprismatohexacosihecatonicosachoron  0.763932
quipdohi quasiprismatodishecatonicosachoron  1.328131
quiphi quasiprismatohecatonicosachoron  0.726543
quippic quasiprismatotetracontoctachoron  0.765367
quippirfix quasiprismatorhombated faceted hexacosachoron  3.531591
quippirgashi quasiprismatorhombated grand stellated hecatonicosachoron  1.348948
quippirgax quasiprismatorhombated grand hexacosachoron  1.021064
quippirghi quasiprismatorhombated grand hecatonicosachoron  2.400819
quiproh quasiprismatorhombated hexadecachoron  1.082392
quit gashi quasitruncated grand stellated hecatonicosachoron  0.953850
quit gishi quasitruncated great stellated hecatonicosachoron  0.953850
quit gissiddip quasitruncated-great-stellated-dodecahedron prism  0.826058
quit gogishi quasitruncated great grand stellated hecatonicosachoron  0.677481
quit sishi quasitruncated small stellated hecatonicosachoron  2
quitcope quasitruncated-cuboctahedron prism  1.174172
quitdiddip quasitruncated-dodecadodecahedron prism  1.732051
quithip quasitruncated-hexahedron prism  0.765367
quitit quasitruncated tesseract  0.615370
quitsissiddip quasitruncated-small-stellated-dodecahedron prism, small-stellated-truncated-dodecahedron prism  0.988665
radatathi retroditetrahedronary dishecatonicosachoron  1.414214
radiddip (old: radedip) rhombidodecadodecahedron prism  1.414214
rafficdi retrofrustic tetracontoctadisicositetrachoron  1.414214
raffixthi retrofrustic hexacositrishecatonicosachoron  2.236068
ragaghi rectified great grand hecatonicosachoron  1.070466
ragashi rectified grand stellated hecatonicosachoron  1.175571
raggix rectified grand hexacosachoron  0.726543
raghi rectified grand hecatonicosachoron  1.902113
ragishi rectified great stellated hecatonicosachoron  1.175571
rahi rectified hecatonicosachoron  4.534568
rap (old: rip), K-4.5 rectified pentachoron, tetrahedral cupola  0.774597
rapsady retroantiprismatosnub dishecatonicosachoron ...
rasishi rectified small stellated hecatonicosachoron  2.802517
ratho rectified tesseractihemioctachoron  1
rathotathibit rhombitrihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
rawvathi retrosphenoverted triakishecatonicosachoron  2.689994
rawvatoth retrosphenoverted tesseractitesseractihexadacachoron  1.847759
rawvaty retrosphenoverted triakisicositetrachoron  2.613126
rawvhiddix retrosphenoverted hecatonicosadishexacosachoron  1.258409
rawvhitto retrosphenoverted hexadecatesseractioctachoron  1.732051
rawvid tixady retrosphenoverted ditrigonary hexacosadishecatonicosachoron  5.330704
rawvtip retrosphenoverted triakispentachoron  1.183216
rico rectified icosatetrachoron, cantellated hexadecachoron  1.732051
ricot rectified icositetrachoric tetracomb  
ridatathi retroinverted ditetrahedral triakishecatonicosachoron  1.414214
ridtidohi rectified ditrigonal dishecatonicosachoron  1.732051
rigfix rectified great faceted hexacosichoron  0.726543
riggidtixhi rectified great ditrigonal hexacosihecatonicosachoron  1.732051
righi rectified great hecatonicosachoron  1.902113
rigogishi rectified great grand stellated hecatonicosachoron  0.661585
ripahi retroinverted prismatohecatonicosachoron  4.534568
... ripahi+600 2thah (?)  4.534568
rissidtixhi rectified small ditrigonal hexacosihecatonicosachoron  1.732051
rit rectified tesseract, rectified octachoron, birectified hexadecachoron  1.224745
rithsithbit rhombitrihexagonal-simotrihexagonal duoprismatic tetracomb  
rittit rectified tesseractic tetracomb  
rixhi retroinverted hexacosahecatonicosachoron  3.077684
rofix rectified faceted hexacosichoron  3.077684
... vertex-first rotunda of hexacosachoron  1.618034
rox rectified hexacosachoron  3.077684
... rox+720pip (?)  3.077684
... β3/2o3β (?) ...
... β3o3o4β (?) ...
... β3o3o5β (?) ...
... β3o3β3o (?) ...
... β3o3β4o (?) ...
... β3o3β4β (?) ...
... β3o3β4x (?) ...
... β3o3β5o (?) ...
... β3o3β5β (?) ...
... β3o3β5x (?) ...
... β3o4o3β (?) ...
... β3o4β3o (?) ...
... β3β3o3β (?) ...
... β3β3o4β (?) ...
... β3β3o5β (?) ...
... β3β3β3o (?) ...
... s3s3s3s (?) ...
... β3β3β3x (?) ...
... s3s3s4s (?) ...
... s3s3s4x (?) ...
... β3β3β5o (?) ...
... s3s3s5s (?) ...
... β3β3β5x (?) ...
... β3β3x *b3o (?) ...
... β3β3x3β (?) ...
... β3β3x4β (?) ...
... β3β3x5β (?) ...
... β3β4o3β (?) ...
... β3β4β3o (?) ...
... s3s4s3s (?) ...
... β3β4β3x (?) ...
... β3β4x3β (?) ...
... β3x3o4β (?) ...
... β3x3o5β (?) ...
... β3x3β3o (?) ...
... β3x3β3x (?) ...
... β3x3β4β (?) ...
... β3x3β4x (?) ...
... β3x3β5o (?) ...
... β3x3β5β (?) ...
... β3x3β5x (?) ...
... β3x3x3β (?) ...
... β3x3x4β (?) ...
... β3x3x5β (?) ...
... β3x4β3o (?) ...
... β3x4β3x (?) ...
... β3x4x3β (?) ...
... β5/2o5β (?) ...
sabbadipady small blendic disprismatodishecatonicosachoron  2
... sabbadipady+sanbathi (?), ganbathi+quitsishi (?)  2
sabbathi small blendic trishecatonicosachoron  2
sabippady (old: sabbippady) small blendic prismatodishecatonicosachoron  2
saddiddip small-dodekicosidodecahedron prism  2.288246
sadi   (alt.: idex) snub icositetrachoron, snub disicositetrachoron, semistruncated icositetrachoron, icositetradiminished hexacosachoron  1.618034
sadit snub icositetrachoric tetracomb  
sadixady small dishexacosadishecatonicosachoron  1.773668
sadixhix (old: sixhix) small dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not gadixhix)  1
sadsadox small disnub dihexacosachoron  3.077684
sadtap small ditetrahedronary prismatochoron, compound of 36 dadip  2.288246
sadtef pixady small ditetrahedronary exofissary prismatohexacosadishecatonicosachoron  2.288246
sadtifady small ditetrahedronarofissary dishecatonicosachoron  2.288246
sanbathi small spinoblendic trishecatonicosachoron  2
sanbippady small spinoblendic prismatodishecatonicosachoron  2
sand tathi small intercepted ditetrahedronary trishecatonicosachoron  2.288246
saquid paxhi small quasidisprismatohexacosihecatonicosachoron, Holey Terror  2.288246
scyropot small cyclorhombated pentachoric tetrachomb, small prismatodispentachoric tetracomb  
sedit pathi small exoditetrahedronary prismatotriakishecatonicosachoron  2.288246
seedatepthi small exoditetrahedrary prismatotrishecatonicosachoron  1.414214
sefdit dixdy small exofissary ditrigonal dihexacosadihecatonicosachoron  1.732051
sefidtethi small exofissary ditetrahedronary tetrakishecatonicosachoron  2.288246
sefradit thix small exofissary retroditetrahedronary triakishecatonicosihexacosachoron  2.288246
sesidip small-snub-icosicosidodecahedron prism  1.541531
sgysrahi swirl-gyrated small rhombated hecatonicosachoron, swirl-gyrated cantellated hecatonicosachoron  6.735034
shafipto small hexadecafaceted prismatotesseractioctachoron  1.485633
... shafipto+32tet (?)  1.485633
shahoh small hexadecahemihexadecachoron  1
shiddip, K-4.54 square - hexagon duoprism  1.224745
shihi small hecatonicosihecatonicosachoron  5.854102
shihix small hecatonicosihecatonicosihexacosachoron  2.975584
shinhi small hecatonicosintercepted hecatonicosachoron  4.534568
shipady small hecatonicosiprismatodishecatonicosachoron  1.814331
sichado small cubihexadecadisoctachoron  2.370932
sid thipady small ditrigonal hecatonicosiprismatodishecatonicosachoron  1.814331
sid tipathi small ditrigonal prismatotriakishecatonicosachoron  4.179968
siddapady small disprismatodishecatonicosachoron  2
siddatady small ditetrahedral dishecatonicosachoron  2.288246
siddic small distetracontoctachoron  1.847759
siddiddip snub-dodecadodecahedron prism  
siddit paxhi small ditetrahedronary hexacosidishecatonicosachoron  2.288246
siddit thix small ditrigonal trishecatonicosihexacosachoron  1.732051
sidditdiddip small-ditrigonal-dodekicosidodecahedron prism  1.792631
sidditpix small ditrigonary prismatohexacosichoron  1.732051
sidhiquit paddy small dishecatonicosaquasitruncated prismatodishecatonicosachoron  5.605034
sididdip snub-icosidodecadodecahedron prism  
sidipthi small dipental trishecatonicosachoron  2.497212
sidpith small disprismatotesseractihexadecachoron, runcinated tesseract, small prismated tesseract  1.485633
sidpitit small prismatotesseractic tetracomb, small diprismatotesseractic tetracomb  
sidpixathi small dipentagonal hexacositrihecatonicosachoron  2.497212
sidpixhi small disprismatohexacosihecatonicosachoron, runcinated hecatonicosachoron, runcinated hexacosachoron  5.236068
sidsrahi swirl-diminished small rhombated hecatonicosachoron, swirl-diminished cantellated hecatonicosachoron  6.735034
sidtaxady small ditetrahedronary hexacosidishecatonicosachoron  2.288246
sidtaxhi small ditetrahedronary hexacosihecatonicosachoron  2.288246
sidthidy hi small ditrigonal hecatonicosadishecatonicosihecatonicosachoron  1.732051
sidthixhi small ditrigonal hecatonicosihexacosihecatonicosachoron  1.773668
sidtidap small-ditrigonal-icosidodecahedron antiprism ...
sidtiddip small-ditrigonal-icosidodecahedron prism  1
sidtixhi small ditrigonary hexacosihecatonicosachoron  1
... sidtixhi+dox (?)  1
sifdahihox small fissary dodecahedronary hecatonicosihemihexacosachoron  1
siidcup small icosicosidodecahedral cupoliprism, closer siid atop siid  1.765796
siidip small-icosicosidodecahedron prism  1.792631
sik vipathi small skewverted prismatotriakishecatonicosachoron  2.828427
sik vixathi small skewverted hexacositriakishecatonicosachoro  4.684471
siphado small prismatohexadecadisoctachoron  2.613126
siphidy small prismated hecatonicosadishecatonicosachoron  4.917351
sipthi small prismatotriakishecatonicosachoron  1.878261
sipti small prismatotriakisicositetrachoron  3.498949
sirc small retrotetracontoctachoron  1.847759
sircope, K-4.66 small-rhombicuboctahedron prism  1.485633
sirdatady small retroditetrahedral dishecatonicosachoron  2.288246
... sirdatady+1440{5/2}  2.288246
sirdtapady small retroditetrahedronary prismatodishecatonicosachoron  2.288246
... sirdtapady+600 2tet (?)  2.288246
sirdtaxady small retroditetrahedronary hexacosidishecatonicosachoron  2.288246
sirfix small rhombated faceted hexacosachoron  4.352502
sirfixthi small retrofrustic hexacositrishecatonicosachoron  2.236068
sirgaghi small rhombated great grand hecatonicosachoron  1.513868
sirgashi small rhombated grand stellated hecatonicosachoron  1.589926
sirgax small rhombated grand hexacosachoron  1.054256
sirghi small rhombated great hecatonicosachoron  3.387054
sirsashi small rhombated small stellated hecatonicosachoron  3.963358
sirsiddip small-(inverted)-retrosnub-icosicosidodecahedron prism  0.766294
sisdipthi small stellated dipental trishecatonicosachoron  2.497212
sishi small stellated hecatonicosachoron  1
... sishi+gaghi+120did (?)  1
... sishi+gaghi+idhi (?)  1
... sishi+gridixhi (?)  1
... sishi+idhi (?)  1
... sishi+ofiddady (?)  1
... sishi+paphicki+gridaphi (?)  1
sisp small swirlprism  1.618034
sissiddip small-stellated-dodecahedron prism  0.771681
sistodip square - octagram duoprism  0.890446
sit thixady small tritrigonal hecatonicosihexacosidishecatonicosachoron  3.835128
sitphi small tripesic hecatonicosachoron  2.288246
sitpodady small (intersected) tripesic dodecahedronary dishecatonicosachoron  1
sitwadip square - dodecagon duoprism  2.057195
six fipady small hexacosafaceted prismatodishecatonicosachoron  5.236068
sixathi small hexacositriakishecatonicosachoron  2.351141
... six fipady+1200tet (?)  5.236068
sixhidy small hexacosihecatonicosadishecatonicosachoron  2.975584
sixhihy small hexacosihecatonicosihecatonicosachoron  0.763932
sixipady small hexacosiprismatodishecatonicosachoron  6.881910
skiv datapixady small skewverted ditrigonary prismatohexacosadishecatonicosachoron  4.684471
skiviphado small skewverted prismatohexadecadisoctachoron  1.414214
sniccup, K-4.60 snub-cube prism, snub-cuboctahedron prism  
sniddip, K-4.110 snub-dodecahedron prism, snub-icosidodecahedron prism  
soccope small-cubicuboctahedron prism  1.485633
sodip, K-4.70 square - octagon duoprism  1.485633
sophi small prismatohecatonicosachoron  3.077684
spapivady small pentagrammal antiprismatoverted dishecatonicosachoron  1.175571
sphiddix small prismatohecatonicosadishexacosachoron  6.881910
sphihix small prismatohecatonicosahecatonicosahexacosachoron  5.515107
sphixhi small prismatohecatonicosihexacosihecatonicosachoron  4.179968
spic small prismatotetracontoctachoron, runcinated icositetrachoron  1.847759
spid small prismatodecachoron, runcinated pentachoron  1
spidrox swirlprismatodiminished rectified hexacosachoron  3.077684
spidy swirlprismattic dishecatonicosachoron, compound of 24 starpedip  1
spixady small prismatohexacosadishecatonicosachoron  8.278950
spixhihy small prismatohexacosihecatonicosihecatonicosachoron  9.744610
sprapivady small pentagonal retroprismatoverted dishecatonicosachoron  3.077684
spriphi small pseudorhombated prismatohecatonicosachoron  6.735034
... spriphi+600 2thah (?)  6.735034
spript small pseudorhombated prismatotesseract  1.847759
... spript+16 2thah (?)  1.847759
squadedip, K-4.97 square - decagon duoprism  1.765796
squappip, K-4.19 square-antiprism prism  0.962692
squipdip, K-4.42 square-pentagon duoprism  1.106168
squippyp, K-4.12 square-pyramidal prism, J1 prism, line || cube, digonal magnabicupolaic ring  0.866025
squippypy, 4pyr-pyr, K-4.4 square-pyramidal pyramid, quarter of hex, square-scalene, 4 tet rosette  0.707107
sradditdahix small retroditetrahedronary dishecatonicosihexacosachoron  2.288246
sraghi small rhombated grand hecatonicosachoron  2.689994
srahi small rhombated hecatonicosachoron, cantellated hecatonicosachoron  6.735034
srawv ditathi small retrosphenoverted ditrigonary triakishecatonicosachoron  3.294556
srawv hidy small retrosphenoverted hecatonicosadishecatonicosachoron  3.387054
srawv hixhi small retrosphenoverted hecatonicosihexacosihecatonicosachoron  6.073594
srawvathi small retrosphenoverted triakishecatonicosachoron  4.352502
srawvixady small retrosphenoverted hexacosadishecatonicosachoron  6.735034
srico small rhombated icositetrachoron, cantellated icositetrachoron  2.613126
sridaphi small retroinverted dodecahedronary prismatohecatonicosachoron  1
sriddip, K-4.111 small-rhombicosidodecahedron prism  2.288246
sridixhi small retroinverted dodecahedronary hexacosahecatonicosachoron  1
srip small rhombated pentachoron, cantellated pentachoron  1.183216
sriphi small retropental hecatonicosachoron  3.077684
srit small rhombated tesseract, cantellated tesseract  1.847759
srittit small rhombitesseractic tetracomb  
srix small rhombated hexacosachoron, cantellated hexacosachoron  6.073594
stadidip decagram-decagram duoprism  0.874032
stappyp pentagram-pyramidal prism, line || stip  0.771681
stappypy, 5/2pyr-pyr pentagram-pyramidal pyramid, pentagram-scalene, 5 tet two-step rosette  0.618034
stardedip pentagram - decagon duoprism  1.701302
stardip pentagram-pentagram duoprism  0.743496
starodip pentagram - octagon duoprism  1.408368
starpedip (older: stipdip, oldest: starpendip) pentagram-pentagon duoprism, stellar (pentagonal) pentagonal diprism  1
stastidedip pentagram - decagram duoprism  0.811393
stastodip pentagram - octagram duoprism  0.754511
stawros pentagrammic ({10} || pip-)wedge rosette, bridge cyclopentaaugmented starpedip, ring-augmented starpedip  
sted stellated decachoron, compound of 2 pen  0.632456
steth small tesseractitesseractihexadecachoron  1.485633
stico stellated icositetrachoron, compound of 3 hex  0.707107
sto small trisoctachoron, small triakisoctachoron  1.224745
... sto+16tet (?)  1.224745
stoc stellated tetracontoctachoron, compound of 2 ico  1
stodatixhi small toroidoditrigonary hexacosihecatonicosachoron  1.732051
stodip octagram-octagram duoprism  0.765367
stoditpix small toroidoditrigonary prismatohexacosichoron  1.732051
stodop octagram diorthoprism, compound of 2 sistodip  1.485633
stut dixady small tritrigonal dihexacosidihecatonicosachoron  3.835128
stut phiddix small tritrigonal prismatohecatonicosidishexacosachoron  3.835128
stut pixady small tritrigonal prismatohexacosidihecatonicosachoron  3.835128
stut thix small tritrigonal trishecatonicosihexacosachoron  3.835128
stut xethi small tritrigonal hexacositrishecatonicosachoron  3.835128
suti small tetrakisicositetrachoron  1.608038
swav ditathi small sphenoverted ditrigonary triakishecatonicosachoron  2.572554
swavathi small sphenoverted triakishecatonicosachoron  2.093315
swavixady small sphenoverted hexacosadishecatonicosachoron  3.294556
taggix truncated grand hexacosachoron  1.199039
taghi truncated grand hecatonicosachoron  3.477092
tah tesseractihexadecachoron, bitruncated tesseract, bitruncated hexadecachoron  2.121320
tahi triakishecatonicosachoron  2
tat truncated tesseract  2.149726
tattit truncated tesseractic tetracomb  
... tridiminished-icosahedron prism  1.074481
tedpy tetrahedral dipyramid  
tepe, K-4.9 tetrahedron prism, line || trip, square - square bi-wedge, digonal orthobicupolaic ring  0.790569
teppix (old: dattix) tripesic hexacosachoron, compound of 60 deca  1.414214
tes, K-4.20 tesseract, octachoron, "hypercube", 4D measure-polytope (γ4), 8-cell, geochoron  1
test tesseractic tetracomb, 4D hypercubical honeycomb (δ4)  
tex truncated hexacosachoron  4.643523
thaquitoth tesseractihexadecaquasitruncated tesseractihexadecachoron  1.338990
thaquitpath tesseractihexadecaquasitruncated prismatotesseractihexadecachoron  2.326846
thatoth tesseractihexadecatruncated tesseractihexadecachoron  1.790840
thatpath tesseractihexadecatruncated prismatotesseractihexadecachoron  1.608038
thex truncated hexadecachoron  1.581139
thext truncated hexadecachoric tetracomb, truncated demitesseractic tetracomb  
thi truncated hecatonicosachoron  8.218334
thiddip, K-4.47 triangle - hexagon duoprism, hexagon - hip wedge  1.154701
tho tesseractihemioctachoron, octahemioctachoron  0.707107
thoot thibbit tomohexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
thorahbit tomohexagonal-rhombitrihexagonal duoprismatic tetracomb  
thot thibbit trihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
thrathibbit trihexagonal-rhombitrihexagonal duoprismatic tetracomb  
... bistratic icosidodecahedron-first subsegment of small rhombihexacosachoron  6.073594
... ofx3xoo4xxx&#xt  
ticcup, K-4.99 truncated-cube prism  1.847759
tico truncated icositetrachoron, cantitruncated hexadecachoron  2.645751
ticot truncated icositetrachoric tetracomb  
... ofx3xoo5xxx&#xt  
tiddip, K-4.130 truncated-dodecahedron prism  3.011250
tidox (old: togex) truncated dodecahedronary-hexacosachoron (truncated great hexacosachoron), compound of 25 tico  2.645751
tidtidohi truncated ditrigonal dishecatonicosachoron  2.645751
tiffix truncated faceted hexacosichoron  4.643523
tigaghi truncated great grand hecatonicosachoron  2
tigfix truncated great faceted hexacosichoron  1.199039
tiggidtixhi truncated great ditrigonal hexacosihecatonicosachoron  2.645751
tiggipe truncated-great-icosahedron prism  1.165943
tighi truncated great hecatonicosachoron  3.477092
tigiddip truncated-great-dodecahedron prism  1.942303
tip truncated pentachoron  1.264911
tipe, K-4.127 truncated-icosahedron prism  2.527959
tisdip, K-4.18 triangle - square duoprism, square - cube wedge  0.912871
tissidtixhi truncated small ditrigonal hexacosihecatonicosachoron  2.645751
tisthit triangular-simotrihexagonal tetracomb  
titho truncated tesseractihemioctachoron  1.581139
titwadip triangle - dodecagon duoprism, dodecagon - twip wedge  2.016280
todip, K-4.59 triangle - octagon duoprism, octagon - op wedge  1.428440
todithix toroidoditrigonary hecatonicosihexacosichoron  1.732051
todtixhi toroidal ditrigonal hexacosihecatonicosachoron  1.732051
tope, K-4.89 truncated-octahedron prism  1.658312
tosot thibbit tomosquare-omnitruncated-trihexagonal duoprismatic tetracomb  
tradedip, K-4.94 triangle - decagon duoprism, decagon - dip wedge  1.717954
trapedip, K-4.34 triangle - pentagon duoprism, pentagon - pip wedge  1.028076
tribbit triangular duoprismatic tetracomb  
triddip, K-4.10 triangle-triangle duoprism, triangle - trip wedge  0.816497
trip || refl ortho trip 3-prism atop reflected ortho 3-prism  0.866025
trippy, K-4.7 trigonal-prismatic pyramid, vertex pyramid of the rectified pentachoron  0.774597
... ofx3xoo3xxx&#xt  
tutcup, tut || inv tut, K-4.55 truncated tetrahedral cupoliprism, truncated tetrahedron atop inverted truncated tetrahedron, tetrahedrally medial part of rectified tesseract  1.224745
tuttip, K-4.57 truncated-tetrahedron prism  1.274755
twaddip dodecagonal-dodecagonal duoprism  2.732051
wavathi sphenoverted triakishecatonicosachoron  1.662508
wavaty sphenoverted triakisicositetrachoron  1.082392
wavdatixady sphenoverted ditrigonal hexacosadishecatonicosachoron  1.258409
wavhiddix sphenoverted hecatonicosadishexacosachoron  5.330704
wavitoth sphenoverted tesseractitesseractihexadecachoron  0.765367
... hyperbolic order 5 pentachoric tesselation  
... x3o3o5v, variation of small disprismatohexacosihecatonicosachoron  3.835128
... x3o3β4o (?) ...
... x3o3β4x (?) ...
... x3o3β5o (?) ...
... x3o3β5x (?) ...
... x3o4q3o, variation of small rhombated icositetrachoron  3.316625
... x3o4β3o (?) ...
... x3β3o3o (?) ...
... x3β3o3β (?) ...
... x3β3o3x (?) ...
... x3β3o4o (?) ...
... x3β3o4β (?) ...
... x3β3o4x (?) ...
... x3β3o5o (?) ...
... x3β3o5β (?) ...
... x3β3o5x (?) ...
... x3β3β3x (?) ...
... x3β3β4o (?) ...
... x3β3β4β (?) ...
... x3β3β4x (?) ...
... x3β3β5o (?) ...
... x3β3β5β (?) ...
... x3β3β5x (?) ...
... x3β3x4β (?) ...
... x3β3x5β (?) ...
... x3β4o3o (?) ...
... x3β4o3β (?) ...
... x3β4o3x (?) ...
... x3β4β3x (?) ...
... x3x3β3o (?) ...
... x3x3β4o (?) ...
... x3x3β5o (?) ...
... x3x4β3o (?) ...
... tesseractic tetracomb  
... hyperbolic order 5 tesseractic tesselation  
... hyperbolic order 5 hecatonicosachoric tesselation  
xhi hexacosihecatonicosachoron, bitruncated hecatonicosachoron, bitruncated hexacosachoron  7.579634
xhidy hexacosihecatonicosadishecatonicosachoron  3
xithi hexacositriakishecatonicosachoron  3.872983
... half of truncated hexadecachoron  1.581139
... bistratic cap of prismatorhombated tesseract, rhombicuboctahedral rotunda  2.370932
... bistratic srid-cap of prahi  8.278950

Count of actually available polychora: 986


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----
 5D
----

Acronym Name Circumradius
3,n-dippip triangle - n-gon duoprismatic prism sqrt[7/12+1/(4 sin2(π/n))]
5,n-dippip pentagon - n-gon duoprismatic prism sqrt[(15+2 sqrt(5))/20+1/(4 sin2(π/n))]
bidsid pixhi bi-icositetra-diminished small disprismatohexacosihecatonicosachoron  5.236068
bittin bitruncated penteract  2.549510
bittit bitruncated triacontiditeron  2.121320
bittix (old: dittox) bitruncated hexateron  1.554563
brinoh birectified penteractic pentacomb  
cappin celliprismated penteract, steritruncated pentacross  2.423081
cappix (old: happix) celliprismated hexateron, cellitruncated hexateron, hedratoprismated hexateron, steritruncated hexateron  1.632993
capt celliprismated triacontiditeron, steritruncated penteract  2.878460
captid (old: hiptid) celliprismatotruncated dodecateron, hedratoprismatotruncated dodecateron, steriruncitruncated hexateron  2.236068
captint celliprismatotruncated penteractitriacontiditeron, steriruncitruncated penteract, steriruncitruncated pentacross  3.701317
card (older: scard, oldest: shard) (small) cellirhombated dodecateron, small hedratorhombated dodecateron, stericantellated hexateron  1.658312
carnit (old: scarnit) (small) cellirhombated penteractitriacontiditeron, stericantellated penteract, stericantellated pentacross  2.660531
cogart (old: gocart) celligreatorhombated triacontiditeron (great cellirhombated triacontiditeron), stericantitruncated pentacross  3.534493
cograx (older: gocrax, oldest: goharx) celligreatorhombated hexateron (great cellirhombated hexateron, great hedratorhombated hexateron), stericanitruncated hexateron  2.327373
cogrin (old: gocrin) celligreatorhombated penteract (great cellirhombated penteract), stericantitruncated penteract  3.988340
contip tetracontoctachoron prism, bitruncated-icositetrachoron prism  3.450631
cyxh cyclohexateric honeycomb  
decap decachoron prism  1.500000
dot dodecateron, birectified hexateron, equatorial cross-section of (vertex first) 1/q-ax  0.866025
exip hexacosachoron prism  1.693527
fawdint frustisphenary dispenteractitriacontaditeron, fastegiverted dispenteractitriacontaditeron  0.914214
gacnet great cellated penteractitriacontiditeron, omnitruncated penteract, omnitruncated pentacross  4.829189
gappip great-antiprism prism  1.693527
gart great rhombated triacontiditeron, cantitruncated pentacross  2.645751
garx great rhombated hexateron, cantitruncated hexateron  2
getitdin great tesseractitriacontidiadispenteract  1.276197
gibcotdin great biprismatocellitriacontadiadispenteract  2.001839
gibrant great birhombated penteractitriacontiditeron, bicantitruncated penteract  3.391165
gibrid (old: gadrid) great birhombated dodecateron, bicantitruncated hexateron  2.179449
gibtadin great biprismatotriacontadiadispenteract  1.488108
gidpithip great-disprismatotesseractihexadecachoric prism, great-prismated-tesseract prism, central segment of cogart  3.534493
ginnont great penteractipenteractitriacontiditeron  1.021221
giphin great prismated hemipenteract  3.259601
gippiccup great-prismatotetracontoctachoron prism, omnitruncated-icositetrachoron prism  5.194028
gippiddip great-prismatodecachoron prism  2.291288
gippin great prismated penteract, runcicantitruncated penteract  4.371952
gippit great prismated triacontiditeron, omnitruncated hemipenteract  3.872983
gippix great prismated hexateron, runcicantitruncated hexateron  2.581989
girhin great rhombated hemipenteract, cantitruncated demipenteract  2.761340
girn great rhombated penteract, cantitruncated penteract  3.563671
gocad (old: gohad) great cellated dodecateron (great hedrated dodecateron), omnitruncated hexateron  2.958040
grahip (old: grahipe) great-rhombated-hecatonicosachoron prism, cantitruncated-hecatonicosachoron prism 11.263210
gricope (old: gripe) great-rhombated-icositetrachoron prism, cantitruncated-icositetrachoron prism  4.328427
grippip great-rhombated-pentachoron prism  1.910497
grittip truncated-tesseract prism, central segment of prin  3.047217
grixip great-rhombated-hexacosachoron prism  4.776223
haco (old: hicco) hexagon cuboctahedron duoprism  1.414214
hacube (old: hiccube) hexagon cube duoprism  1.322876
hadoe hexagon - dodecahedron duoprism  1.721489
hagirco (old: higgirco) hexagon great-rhombicuboctahedron duoprism  2.524147
hagrid hexagon - great-rhombicosidodecahedron duoprism  3.931692
hasirco (old: hissirco) hexagon small-rhombicuboctahedron duoprism  1.719624
hasrid hexagon - small-rhombicosidodecahedron duoprism  2.446644
hatet (old: hittet) hexagon-tetrahedron duoprism  1.172604
hati hexagon - truncated-icosahedron duoprism  2.672186
hatic (old: hittic) hexagon truncated-cube duoprism  2.040640
hatid hexagon - truncated-dodecahedron duoprism  3.133309
hatoe (old: hittoe) hexagon truncated-octahedron duoprism  1.870829
hatut (old: hittut) hexagon truncatet-tetrahedron duoprism  1.541104
hexip hexadecachoron prism  0.866025
hid hexagon icosidodecahedron duoprism  1.902113
hike hexagon icosahedron duoprism  1.380039
hin hemipenteract, demipenteract  0.790569
hinoh hemipenteractic pentacomb  
hipe hecatonicosachoron prism  3.736068
hix hexateron, 5D simplex (α5), pyroteron, pentachoral pyramid, regular tet-scalene, regular triangle-tettene, regular line-pennene, regular (point-)hixene  0.645497
hoct hexagon octahedron duoprism  1.224745
icope icositetrachoron prism  1.118034
idprix icositetra-diminished prismatorhombated hexacosachoron  9.744610
idsid pixhi icositetra-diminished small disprismatohexacosihecatonicosachoron  5.236068
idsrix icositetra-diminished small rhombated hexacosachoron  6.073594
n,co-dip n-gon - cuboctahedron duoprism sqrt[1+1/(4 sin2(π/n))]
n,cube-dip n-gon - cube duoprism sqrt[3/4+1/(4 sin2(π/n))]
n,doe-dip n-gon - dodecahedron duoprism sqrt[(9+3 sqrt(5))/8+1/(4 sin2(π/n))]
n,girco-dip n-gon - great-rhombicuboctahedron duoprism sqrt[(13+6 sqrt(2))/4+1/(4 sin2(π/n))]
n,grid-dip n-gon - great-rhombicosidodecahedron duoprism sqrt[(31+12 sqrt(5))/4+1/(4 sin2(π/n))]
n,id-dip n-gon - icosidodecahedron duoprism sqrt[(3+sqrt(5))/2+1/(4 sin2(π/n))]
n,ike-dip n-gon - icosahedron duoprism sqrt[(5+sqrt(5))/8+1/(4 sin2(π/n))]
n,k-dippip n-gon - k-gon duoprismatic prism sqrt[1/4+1/(4 sin2(π/n))+1/(4 sin2(π/k))]
n,n-dippip n-gon - n-gon duoprismatic prism sqrt[1/4+1/(2 sin2(π/n))]
n,oct-dip n-gon - octahedron duoprism sqrt[1/2+1/(4 sin2(π/n))]
n,sirco-dip n-gon small-rhombicuboctahedron duoprism sqrt[(5+2 sqrt(2))/4+1/(4 sin2(π/n))]
n,srid-dip n-gon - small-rhombicosidodecahedron duoprism sqrt[sqrt(5)+11/4+1/(4 sin2(π/n))]
n,tet-dip n-gon - tetrahedron duoprism sqrt[3/8+1/(4 sin2(π/n))]
n,tic-dip n-gon - truncated-cube duoprism sqrt[sqrt(2)+7/4+1/(4 sin2(π/n))]
n,tid-dip n-gon - truncated-dodecahedron duoprism sqrt[(37+15 sqrt(5))/8+1/(4 sin2(π/n))]
n,ti-dip n-gon - truncated-icosahedron duoprism sqrt[(29+9 sqrt(5))/8+1/(4 sin2(π/n))]
n,toe-dip n-gon truncated-octahedron duoprism sqrt[5/2+1/(4 sin2(π/n))]
n,tut-dip n-gon - truncated-tetrahedron duoprism sqrt[11/8+1/(4 sin2(π/n))]
nit penteractitriacontiditeron, birectified penteract, birectified triacontiditeron, birectified pentacross  1.224745
oco (old: occo) octagon cuboctahedron duoprism  1.645329
... bidiminished hemipenteract, oct || hex, tet || rap  0.790569
ocube octagon - cube duoprism  1.567516
odoe octagon - dodecahedron duoprism  1.915889
ogirco octagon - great-rhombicuboctahedron duoprism  2.660531
ogrid octagon - great-rhombicosidodecahedron duoprism  4.020611
oid octagon-icosidodecahedron duoprism  2.079697
oike octagon-icosahedron duoprism  1.453140
osirco octagon small-rhombicuboctahedron duoprism  1.914214
osrid octagon - small-rhombicosidodecahedron duoprism  2.587117
otet octagon-tetrahedron duoprism  1.442951
oti octagon - truncated-icosahedron duoprism  2.801372
otic (old: ottic) octagon - truncated-cube duoprism  2.207107
otid octagon - truncated-dodecahedron duoprism  3.244185
otoe (old: otto) octagon truncated-octahedron duoprism  2.051123
otut octagon - truncated-tetrahedron duoprism  1.755593
owoct octagon octahedron duoprism  1.485633
pattin prismatotruncated penteract, runcitruncated penteract  3.239235
pattit prismatotruncated triacontiditeron, runcitruncated pentacross  2.738613
pattix prismatotruncated hexateron, runcitruncated hexateron  1.848423
peco pentagon-cuboctahedron duoprism  1.312862
pecube pentagon-cube duoprism  1.213922
pedoe pentagon-dodecahedron duoprism  1.639247
pendpy pentachoral dipyramid  
penp pentachoron prism  0.806226
pent penteract, decateron, 5D measure-polytope (γ5), geoteron  1.118034
penth penteractic pentacomb, 5D hypercubical honeycomb (δ5)  
petet pentagon-tetrahedron duoprism  1.048144
pid pentagon - icosidodecahedron duoprism  1.828016
pike pentagon-icosahedron duoprism  1.275976
pirhin prismatorhombated hemipenteract, runcicantellated demipenteract  2.150581
pirt prismatorhombated triacontiditeron, runcicantellated pentacross  3
pirx prismatorhombated hexateron, runcicantellated hexateron  1.914854
pithin prismatotruncated hemipenteract, runcitruncated demipenteract  2.371708
poct pentagon - octahedron duoprism  1.106168
prahip (old: prahipe) prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism  8.294035
pricope (old: pripe) prismatorhombated-icositetrachoron prism, runcitruncated-icositetrachoron prism  3.534493
prin prismatorhombated penteract, runcicantellated penteract  3.047217
prippip prismatorhombated-pentachoron prism  1.688194
prittip prismatorhombated-tesseract prism, prismatotruncated-hexadecachoron prism, runcitruncated-hexadecachoron prism, central segment of cappin  2.423081
prohp prismatorhombated-hexadecachoron prism, prismatotruncated-tesseract prism, runcitruncated-tesseract prism, central segment of carnit  2.660531
... q x3o3o3o, variation of pentachoron prism, vertex figure of rectified hexeract  0.948683
rahipe rectified-hecatonicosachoron prism  4.562051
rappip rectified-pentachoron prism  0.921954
rat rectified triacontiditeron, rectified pentacross  1
rawn (old: rawvanant) retrosphenary penteract  2.207107
recarnit retrocellirhombated penteractitriacontaditeron  2.660531
ricope rectified-icositetrachoron prism  1.802776
rin rectified penteract  1.414214
rinoh rectified penteractic pentacomb  
rittip rectified-tesseract prism  1.322876
rix rectified hexateron  0.816497
roxip rectified-hexacosachoron prism  3.118034
sadip snub-icositetrachoron prism, snub-disicositetrachoron prism, semistruncated-icositetrachoron prism  1.693527
sart small rhombated triacontiditeron, cantellated pentacross  1.732051
sarx small rhombated hexateron, cantellated hexateron  1.290994
scad (old: shad) small cellated dodecateron, small hedrated dodecateron, stericated hexateron  1
scant small cellated penteractitriacontiditeron, stericated penteract, stericated pentacross  1.567516
setitdin small tesseractitriacontidiadispenteract  2.423081
sibcotdin small biprismatocellitriacontadiadispenteract  3.534493
sibrant small birhombated penteractitriacontiditeron, bicantellated penteract, bicantellated pentacross  2.236068
sibrid (old: sadrid) small birhombated dodecateron, bicantellated hexateron  1.414214
sibtadin small biprismatotriacontadiadispenteract  3.047217
sidpithip small-disprismatotesseractihexadecachoron prism, runcinated-tesseract prism, small-prismated-tesseract prism, central segment of scant  1.567516
sidpixhip small-disprismatohexacosihecatonicosachoron prism, runcinated-hecatonicosachoron prism, runcinated-hexacosachoron prism  5.259887
sinnont small penteractipenteractitriacontiditeron  1.567516
siphin small prismated hemipenteract, runcinated demipenteract  1.274755
sirhin small rhombated hemipenteract, cantellated demipenteract  1.620185
sirn small rhombated penteract, cantellated penteract  2.207107
sirpin small retroprismated penteract  1.914214
span small prismated penteract, runcinated penteract  1.914214
spat small prismated triacontiditeron, runcinated pentacross  1.870829
spiccup small-prismatotetracontoctachoron prism, runcinated-icositetrachoron prism  1.914214
spiddip small-prismatodecachoron prism  1.118034
spix small prismated hexateron, runcinated hexateron  1.190238
squaco square-cuboctahedron duoprism  1.224745
squadoe square-dodecahedron duoprism  1.569562
squagirco square great-rhombicuboctahedron duoprism  2.423081
squagrid square - great-rhombicosidodecahedron duoprism  3.867584
squasirco square - small-rhombicuboctahedron duoprism  1.567516
squasrid square - small-rhombicosidodecahedron duoprism  2.342236
squatet square-tetrahedron duoprism  0.935414
squati square - truncated-icosahedron duoprism  2.576932
squatic square - truncated-cube duoprism  1.914214
squatid square - truncated-dodecahedron duoprism  3.052479
squatoe (old: squato) square - truncated-octahedron duoprism  1.732051
squatut square - truncated-tetrahedron duoprism  1.369306
squid square-icosidodecahedron duoprism  1.765796
squike square-icosahedron duoprism  1.185120
squoct square-octahedron duoprism  1
srahip (old: srahipe) small-rhombated-hecatonicosachoron prism  6.753568
sricope (old: sripe) small-rhombated-icositetrachoron prism, cantellated-icositetrachoron prism  2.660531
srippip small-rhombated-pentachoron prism  1.284523
srittip small-rhombated-tesseract prism  1.914214
srixip small-rhombated-hexacosachoron prism, cantellated-hexacosachoron prism  6.094140
tac triacontiditeron, pentacross (β5), aeroteron, pentachoral antiprism  0.707107
tahp tesseractihexadecachoron prism, bitruncated-tesseract prism, bitruncated-hexadecachoron prism  2.179449
tan truncated penteract  2.465447
tattip truncated-tesseract prism  2.207107
texip truncated-hexacosachoron prism  4.749980
thexip truncated-hexadecachoron prism  1.658312
thin truncated hemipenteract  1.903943
thipe truncated-hecatonicosachoron prism  4.670365
ticope truncated-icositetrachoron prism  2.692582
tippip truncated-pentachoron prism  1.360147
tix truncated hexateron  1.322876
tot truncated triacontiditeron, truncated pentacross  1.581139
traco triangle - cuboctahedron duoprism  1.154701
tracube triangle - cube duoprism  1.040833
tradoe triangle - dodecahedron duoprism  1.515539
tragirco triangle - great-rhombicuboctahedron duoprism  2.388442
tragrid triangle - great-rhombicosidodecahedron duoprism  3.845977
trapedippip triangle-pentagon duoprismatic prism  1.143215
trasirco triangle small-rhombicuboctahedron duoprism  1.513420
trasrid triangle - small-rhombicosidodecahedron duoprism  2.306383
tratet triangle - tetrahedron duoprism  0.841625
trati triangle - truncated-icosahedron duoprism  2.544388
tratic triangle truncated-cube duoprism  1.870173
tratid triangle - truncated-dodecahedron duoprism  3.025056
tratoe triangle truncated-octahedron duoprism  1.683251
tratrip (old: triddippip) triangle triangular-prism duoprism, triangle-triangle duoprismatic prism  0.957427
tratut triangle truncated-tetrahedron duoprism  1.307032
trid triangle - icosidodecahedron duoprism  1.717954
trike triangle - icosahedron duoprism  1.112583
troct triangle-octahedron duoprism  0.912871
wacbinant sphenary cellibiprismatopenteractipenteractitriacontaditeron  1.192297
wavinant sphenoverted penteractipenteractitriacontaditeron  0.792893
xhip hexacosihecatonicosachoron prism, bitruncated-hecatonicosachoron prism, bitruncated-hexacosachoron prism  7.596108

Count of actually available polytera: 220


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----
 6D
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Acronym Name Circumradius
3,3,4-tip triangle-triangle-square triprism  1.080123
4,n,m-tip square - n-gon - m-gon - triprism  
4,n,n-tip square - n-gon - n-gon - triprism sqrt[1/2+1/(2 sin2(π/n))]
ax (old: hexe) hexeract, dodecapeton, 6D measure-polytope (γ6), geopeton  1.224745
bapril biprismatorhombated heptapeton, biruncitruncated heptapeton  2.203893
barm (older: scram, even older: bram,
again older: remak, oldest kram) 		birectified pentacontitetrapeton (small centrorhombated pentacontitetrapeton)  2.449490
batal bitruncated heptapeton  1.647509
bitem (older: gacram, even older: botam,
oldest: kobtam) 		bitruncated pentacontitetrapeton (great centrorhombated pentacontitetrapeton, heptacontidia-bitruncated pentacontitetrapeton)  4.123106
botag bitruncated hexacontatetrapeton, bitruncated hexacross  2.121320
botajik bitruncated icosiheptaheptacontidipeton  2.943920
botox bitruncated hexeract  2.915476
brag (old: dric) birectified hexacontitetrapeton  1.224745
bril (old: driss) birectified heptapeton  0.925820
brox (old: drax) birectified hexeract  1.414214
cagral (old: gacral) celligreatorhombated heptapeton, stericantitruncated heptapeton  2.618615
captal celliprismatotruncated heptapeton, steriruncitruncated heptapeton  2.591194
catal cellitruncated heptapeton, steritruncated heptapeton  1.851640
catog cellitruncated hexacontatetrapeton, steritruncated hexacross  2.828427
cocube cuboctahedron-cube duoprism  1.322876
codip cuboctahedron-cuboctahedron duoprism  1.414214
codoe cuboctahedron-dodecahedron duoprism  1.721489
coid cuboctahedron-icosidodecahedron duoprism  1.902113
coike cuboctahedron-icosahedron duoprism  1.380039
copal celliprismated heptapeton, steriruncinated heptapeton  1.963961
copog celliprismated hexacontatetrapeton, steriruncinated hexacross  3.316625
copril celliprismatorhombated heptapeton, steriruncicantellated heptapeton  2.725541
crag (old: scrag) cellirhombated hexacontatetrapeton, stericantellated hexacross  3.082207
cral (old: scral) cellirhombated heptapeton, stericantellated heptapeton  1.927248
crax (old: scrax) (small) cellirhombated hexeract, stericantellated hexeract  3.277597
cubedoe cube-dodecahedron duoprism  1.647278
cubid cube-icosidodecahedron duoprism  1.835220
cubike cube-icosahedron duoprism  1.286277
dodoe dodecahedron-dodecahedron duoprism  1.981679
dotip dodecateron prism  1
fe tetradecapeton, tritruncated heptapeton, equatorial cross-section of (vertex first) q-hept  1.732051
gaborg great birhombihexacontatetrapeton, bicantitruncated hexacross  3.391165
gabril great birhombated heptapeton, bicantitruncated heptapeton  2.390457
gacal great cellated heptapeton, steriruncicantitruncated heptapeton  3.380617
gapil great prismated heptapeton, runcicantitruncated heptapeton  2.803060
gee (old: xic) hexacontitetrapeton, hexacross (β6), aeropeton, hexateral antiprism  0.707107
gibpof great biprismated tetradecapeton, biruncicantitruncated heptapeton  3
gotaf great terated tetradecapeton, omnitruncated heptapeton  3.741657
gril great rhombated heptapeton, cantitruncated heptapeton  2.104417
grog great rhombihexacontatetrapeton, cantitruncated hexacross  2.645751
grox great rhombihexeract, cantitruncated hexeract  4.045239
harjak (old: trojak) demirectified icosiheptaheptacontidipeton (trirectified icosiheptaheptacontidipeton)  2.160247
hax hemihexeract  0.866025
hejak demified icosiheptaheptacontidipeton  1.632993
hinnip hemipenteractic prism  0.935414
hixip hexateron prism  0.816497
hop (old: hep) heptapeton, 6D simplex (α6), pyropeton, hexateral pyramid  0.654654
iddoe icosidodecahedron-dodecahedron duoprism  2.140458
idodip icosidodecahedron-icosidodecahedron duoprism  2.288246
ikedip icosahedron-icosahedron duoprism  1.344997
ikedoe icosahedron-dodecahedron duoprism  1.693527
ikid icosahedron-icosidodecahedron duoprism  1.876844
jak icosiheptaheptacontidipeton, Gosset polypeton 21,2  0.816497
mo pentacontitetrapeton, Gosset polypeton 12,2  1
n,co-dippip n-gon - cuboctahedron duoprismatic prism  
n,doe-dippip n-gon - dodecahedron duoprismatic prism  
n,ex-dip n-gon - hexacosachoron duoprism  
n,hex-dip n-gon - hexadecachoron duoprism  
n,hi-dip n-gon - hecatonicosachoron duoprism  
n,ico-dip n-gon - icositetrachoron duoprism  
n,id-dippip n-gon - icosidodecahedron duoprismatic prism  
n,ike-dippip n-gon - icosahedron duoprismatic prism  
n,m,k-tip n-gon - m-gon - k-gon - triprism sqrt[1/(4 sin2(π/n))+1/(4 sin2(π/m))+1/(4 sin2(π/k))]
n,n,k-tip n-gon - n-gon - k-gon - triprism sqrt[1/(2 sin2(π/n))+1/(4 sin2(π/k))]
n,n,n-tip n-gon - n-gon - n-gon - triprism sqrt[3/(4 sin2(π/n))]
n,oct-dippip n-gon - octahedron duoprismatic prism  
n,pen-dip n-gon - pentachoron duoprism  
n,rahi-dip n-gon - rectified-hecatonicosachoron duoprism  
n,rap-dip n-gon - rectified-pentachoron duoprism  
n,rico-dip n-gon - rectified-icositetrachoron duoprism  
n,rit-dip n-gon - rectified-tesseract duoprism  
n,rox-dip n-gon - rectified-hexacosachoron duoprism  
n,tes-dip n-gon - tesseract duoprism  
n,tet-dippip n-gon - tetrahedron duoprismatic prism  
nitip penteractitriacontiditeron prism  1.322876
octco octahedron-cuboctahedron duoprism  1.224745
octcube octahedron-cube duoprism  1.118034
octdip octahedron-octahedron duoprism  1
octdoe octahedron-dodecahedron duoprism  1.569562
octid octahedron-icosidodecahedron duoprism  1.765796
octike octahedron-icosahedron duoprism  1.185120
patal prismatotruncated heptapeton, runcitruncated heptapeton  2
potag prismatotruncated hexacontatetrapeton, runcitruncated hexacross  2.738613
pril prismatorhombated heptapeton, runcicantellated heptapeton  2.104417
prog prismatorhombated hexacontatetrapeton, runcicantellated hexacross  3
rag (old: ric) rectified hexacontitetrapeton  1
ram rectified pentacontitetrapeton  1.732051
ratip rectified-triacontiditeron prism  1.118034
rax rectified hexeract, rectified dodecapeton  1.581139
ril (old: riss) rectified heptapeton  0.845154
rinnip rectified-penteract prism  1.500000
rixip rectified-hexateron prism  0.957427
rojak rectified icosiheptaheptacontidipeton  1.290994
saborx small birhombated hexeract, bicantellated hexeract  2.645751
sabril small birhombated heptapeton, bicantellated heptapeton  1.558387
sabrim (older: pirm, even older: sirmak,
oldest: skorm) 		small birhombated pentacontitetrapeton (prismatorectified pentacontitetrapeton, small rhombated pentacontitetraheptacontidipeton, small heptacontidirhombated pentacontitetrapeton)  3
scag small cellihexacontatetrapeton, stericated hexacross  2
scal small cellated heptapeton, stericated heptapeton  1.195229
scox small cellihexeract, stericated hexeract  1.978437
shopjak small demiprismated icosiheptaheptacontidipeton  1.914854
siborg small birhombated hexacontatetrapeton, bicantellated hexacross  2.236068
sibpof small biprismated tetradecapeton, biruncinated heptapeton  1.414214
sirhax small rhombated hemihexeract, cantellated demihexeract  1.936492
sirjak small rhombated icosiheptaheptacontidipeton  2.380476
sobpoxog small biprismated hexeractihexacontatetrapeton, biruncinated hexeract, biruncinated hexacross  2.345208
sochax small cellated hemihexeract, stericated demihexeract  1.322876
sophax small prismated hemihexeract, runcinated demihexeract  1.658312
spam (old: skopam) small prismated pentacontitetrapeton (small hebdomecontadiaprismated pentacontitetrapeton)  2.236068
spil small prismated heptapeton, runcinated heptapeton  1.309307
spog small prismatohexacontatetrapeton, runcinated hexacross  1.870829
spox small prismated hexeract, runcinated hexeract  2.263033
squahex square-hexadecachoron duoprism  1
squahi square-hecatonicosachoron duoprism  3.769377
squapen square-pentachoron duoprism  0.948683
squarahi square - rectified-hecatonicosachoron duoprism  4.589369
squarap square - rectified-pentachoron duoprism  1.048809
squarico square - rectified-icositetrachoron duoprism  1.870829
squarit square - rectified-tesseract duoprism  1.414214
squarox square - rectified-hexacosachoron duoprism  3.157869
squex square-hexacosachoron duoprism  1.765796
squico square-icositetrachoron duoprism  1.224745
sram (older: skobram, oldest skabram) small rhombated pentacontitetrapeton (small hebdomecontadiabirhombated pentacontitetrapeton)  3.316625
sril small rhombated heptapeton, cantellated heptapeton  1.362770
srog small rhombihexacontatetrapeton, cantellated hexacross  1.732051
srox small rhombated hexeract, cantellated hexeract  2.515637
staf (interim: stef) small terated tetradecapeton, pentellated heptapeton  1
stoxog small terated hexeractihexacontatetrapeton, pentellated hexeract, pentellated hexacross  1.645329
taccup triacontiditeron prism  0.866025
tacog tericellated hexacontatetrapeton, pentitruncated hexeract  3.121320
tacogral (old: gatocral) tericelligreatorhombated heptapeton, pentistericantitruncated heptapeton  2.976095
tacox tericellated hexeract, pentitruncated hexacross  2.474130
tactaf tericellitruncated tetradecapeton, pentisteritruncated heptapeton  2.236068
tag truncated hexacontatetrapeton  1.581139
tagopal (old: gatopal) terigreatoprismated heptapeton, pentiruncicantitruncated heptapeton  3.116775
taporf (old: staporf) teriprismatorhombitetradecapeton, pentiruncicantellated heptapeton  2.449490
tapox (old: stapox) teriprismated hexeract, penticantellated hexacross  2.707107
tetco tetrahedron-cuboctahedron duoprism  1.172604
tetcube tetrahedron - cube duoprism  1.060660
tetdip tetrahedron-tetrahedron duoprism  0.866025
tetdoe tetrahedron-dodecahedron duoprism  1.529224
tetid tetrahedron-icosidodecahedron duoprism  1.730039
tetike tetrahedron-icosahedron duoprism  1.131154
tetoct tetrahedron-octahedron duoprism  0.935414
thax truncated hemihexeract  1.581139
til truncated heptapeton  1.362771
tim truncated pentacontitetrapeton  2.645751
titam (older: cacram, totam, tomak, katom) tritruncated pentacontitetrapeton (centrocellirhombated pentacontitetrapeton, trunkated pentacontitetraheptacontidipeton, heptacontiditruncated pentacontitetrapeton)  3.741657
tocal teracellated heptapeton, pentitruncated heptapeton  1.647509
tocral (old: stocral) tericellirhombated heptapeton, pentiruncitruncated heptapeton  2.329929
togral (old: gotral) terigreatorhombated heptapeton, penticantitruncated heptapeton  2.390457
tojak truncated icosiheptaheptacontidipeton  2
topag (old: stopag) teriprismated hexacontatetrapeton, penticantellated hexeract  2.921564
topal (old: stopal) teriprismated heptapeton, penticantellated heptapeton  1.690309
tox truncated hexeract  2.745093
tracope triangle-cuboctahedron duoprismatic prism  1.258306
tradope triangle-dodecahedron duoprismatic prism  1.595888
trahex triangle - hexadecachoron duoprism  0.912871
trahi triangle - hecatonicosachoron duoprism  3.747204
trapen triangle - pentachoron duoprism  0.856349
trarahi triangle - rectified-hecatonicosachoron duoprism  4.571175
trarap triangle - rectified-pentachoron duoprism  0.966092
trarico triangle - rectified-icositetrachoron duoprism  1.825742
trarit triangle - rectified-tesseract duoprism  1.354006
trarox triangle - rectified-hexacosachoron duoprism  3.131369
tratepe triangle-tetrahedron-duoprism prism  0.978945
tratess triangle - tesseract duoprism  1.154701
trex triangle - hexacosachoron duoprism  1.717954
trico triangle - icositetrachoron duoprism  1.154701
tridep triangle-icosidodecahedron duoprismatic prism  1.789237
trikep triangle-icosahedron duoprismatic prism  1.219771
trim (older: cacam, even older: tram,
oldest: mak) 		trirectified pentacontitetrapeton (centrocellated pentacontitetrapeton, pentacontitetraheptacontidipeton)  1.414214
trittip triangle-triangle-triangle-triprism  1
trope (old: troctip) triangle-octahedron duoprismatic prism  1.040833
xog hexeractihexacontatetrapeton, tritruncated hexeract, tritruncated hexacross  2.549510

Count of actually available polypeta: 178


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----
 7D
----

Acronym Name Circumradius
barz (old: drhio) birectified hecatonicosoctaexon  1.224745
berlin (old: shabrilq) birhombated pentacontihexahecatonicosihexaexon (small demibirhombated pentacontihexapentacosiheptacontihexaexon)  3.570714
bersa (old: dars) birectified hepteract  1.581139
bittoc bitruncated octaexon  1.713914
branq (old: dranq) birectified hecatonicosihexapentacosiheptacontihexaexon  1.936492
brillip birectified - heptapeton prism  1.052209
broc (old: droc) birectified octaexon, duorectified octaexon  0.968246
copen cuboctahedron - pentachoron duoprism  1.183216
geep hexacontitetrapeton prism, hexacross prism  0.866025
he (old: ache) hexadecaexon, trirectified octaexon, equatorial cross-section of (vertex first) 1/q-octo  1
hept hepteract, tetradecaexon, 7D measure-polytope (γ7), geoexon  1.322876
hesa (old: hiss) hemihepteract  0.935414
hopip heptapeton prism  0.823754
jakip icosihepta-heptacontidi-peton prism  0.957427
laq pentacontihexapentacosiheptacontihexaexon, Gosset polyexon 21,3  1
lin pentacontihexahecatonicosihexaexon, Gosset polyexon 12,3  1.322876
n,hix-dip n-gon - hexateron duoprism sqrt[5/12 + 1/(2 sin(π/n))2]
n,n,n-tippip n-gon - n-gon - n-gon - triprismatic prism sqrt[1/4+3/(4 sin2(π/n))]
naq hecatonicosihexapentacosiheptacontihexaexon, Gosset polyexon 31,2  0.866025
oca (old: oc) octaexon, 7D simplex (α7), pyroexon, heptapetal pyramid  0.661438
octico octahedron - icositetrachoron duoprism  1.224745
octpen octahedron - pentachoron duoprism  0.948683
octrap octahedron - rectified-pentachoron duoprism  1.048809
ranq rectified hecatonicosihexapentacosiheptacontihexaexon  3.278719
rasa (old: ras) rectified hepteract  1.732051
rez (old: rhio) rectified hecatonicosoctaexon  1
rillip rectified-heptapeton prism  0.981981
roc rectified octaexon  0.866025
rolaq rectified pentacontihexapentacosiheptacontihexaexon  1.732051
rolin (old: lanq) rectified pentacontihexahecatonicosihexaexon, pentacontihexahecatonicosihexapentacosiheptacontihexaexon  2.449490
sabach small bicellated hexadecaexon, bistericated octaexon  1.414214
sabro small birhombated octaexon, bicantellated octaexon  1.658312
saro small rhombated octaexon, cantellated octaexon  1.414214
sarz small rhombated hecatonicosoctaexon, cantellated heptacross  1.732051
sco small cellated octaexon, stericated octaexon  1.322876
seto small terated octaexon, pentellated octaexon  1.198958
sez (old: shio) hepteractihecatonicosoctaexon  1.414214
shilq small demified pentacontihexapentacosiheptacontihexaexon  2.179449
spaz small prismated hecatonicosoctaexon, runcinated heptacross  1.870829
spo small prismated octaexon, runcinated octaexon  1.391941
squahix square - hexateron duoprism  0.957427
suph small petated hexadecaexon, hexicated octaexon  1
talq truncated pentacontihexapentacosiheptacontihexaexon  2.645751
tanq truncated hecatonicosihexapentacosiheptacontihexaexon  2.179449
tasa truncated hepteract  2.998773
tattoc tritruncated octaexon  1.854050
taz truncated hecatonicosoctaexon, truncated heptacross  1.581139
tethex tetrahedron - hexadecachoron duoprism  0.935414
tetpen tetrahedron-pentachoron duoprism  0.880341
tetrap tetrahedron - rectified-pentachoron duoprism  0.987421
thesa truncated demihepteract  2.423840
toc truncated octaexon  1.391941
trahin triangle - hemipenteract duoprism  0.978945
trahix triangle - hexateron duoprism  0.866025
tratac triangle - triacontiditeron duoprism  1.154701
tratratrip triangle - triangle - triangle - triprismatic prism  1.118034
trippen triangle - pentachoron duoprism-prism  0.991632
zee (old: hio) hecatonicosoctaexon, heptacross (β7), aeroexon, heptapetal antiprism  0.707107

Count of actually available polyexa: 58


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----
 8D
----

Acronym Name Circumradius
bark birectified diacosipentacontahexazetton  1.224745
bay diacositetracont-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 21,4  1.414214
be octadecazetton, enneaenneazetton, bi-enneazetton, quadritruncated enneazetton, equatorial cross-section of (vertex first) q-enne  2
bif diacositetracont-dischiliahectohexaconta-zetton, Gosset polyzetton 12,4  2
borfy birectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t2(41,2)  2.449490
brene birectified enneazetton  1
bro birectified octeract, birectified hexadecazetton  1.732051
buffy diacositetracont-dischiliahectohexacont-myriaheptachiliadiacosioctaconta-zetton; rectified bif,  t1(12,4); birectified bay,  t2(21,4); tetrarectified fy,  t4(41,2)  3.872983
ek diacosipentacontahexazetton, octacross (β8), aerozetton, octaexal antiprism  0.707107
ene enneazetton, 8D simplex (α8), pyrozetton, octaexal pyramid  0.666667
fy dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 41,2, Witting polytope  1
hocto hemiocteract  1
n,n,n,n-quip n-gon - n-gon - n-gon - n-gon - tetraprism (or: -quadprism) sqrt[1/sin2(π/n)]
ocpe octaexon prism  0.829156
octo octeract, hexadecazetton, 8D measure-polytope (γ8), geozetton  1.414214
pendip pentachoron duoprism  1.054093
recto rectified octeract, rectified hexadecazetton  1.224745
rek rectified diacosipentacontahexazetton  1
rene rectified enneazetton  0.881917
riffy rectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t1(41,2)  1.732051
robay rectified diacositetracont-myriaheptachiliadiacosioctaconta-zetton, t1(21,4)  2.645751
spene small prismated enneazetton, runcinated enneazetton  1.452966
squahop square - heptapenton duoprism  0.963624
srek small rhombated diacosipentacontahexazetton, cantellated octacross  1.732051
srene small rhombated enneazetton, cantellated enneazetton  1.452966
tark trirectified diacosipentacontahexazetton  1.414214
tek truncated diacosipentacontahexazetton, truncated octacross  1.581139
tene truncated enneazetton  1.414214
tethix tetrahedron-hexateron duoprism  0.889757
tettac tetrahedron-triacontiditeron duoprism  0.935414
thocto truncated hemiocteract  2.645751
tocto truncated octeract  3.232607
torfy trirectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t3(41,2)  3.162278
trene trirectified enneazetton  1.054093
trigee triangle - hexacontitetrapeton duoprism  0.912871
trihop triangle - heptapenton duoprism  0.872872
triquip triangle-triangle-triangle-triangle-tetraprism (or: -quadprism)  1.154701
tro trirectified octeract, trirectified hexadecazetton  1.581139
zeep hecatonicosoctaexon prism  0.866025

Count of actually available polyzetta: 39


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----
 9D
----

Acronym Name Circumradius
barn birectified enneract, birectified octadecayotton  1.870829
brav birectified pentacosidodecayotton  1.224745
breday birectified decayotton  1
day decayotton, 9D simplex (α9), pyroyotton, enneazettal pyramid  0.670820
ekip diacosipentacontahexazetton prism  0.866025
enep enneazetton prism  0.833333
enne enneract, octadecayotton, 9D measure-polytope (γ9), geoyotton  1.500000
henne demi-enneract  1.060660
icoy icosayotton, quadrirectified decayotton, equatorial cross-section of (vertex first) 1/q-deker  1.118034
reday rectified decayotton  0.894427
ren rectified enneract, rectified octadecayotton  2
riv rectified pentacosidodecayotton  1
tarv trirectified pentacosidodecayotton  1.414214
treday trirectified decayotton  1.095445
vee pentacosidodecayotton, enneacross (β9), aeroyotton, enneazettal antiprism  0.707107

Count of actually available polyyotta: 15


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-----
 10D
-----

Acronym Name Circumradius
deker dekeract, icosaxennon, 10D measure-polytope (γ10), geoxennon  1.581139
hede demi-dekeract  1.118034
ka chilliaicositetraxennon, decacross (β10), aeroxennon, decayottal antiprism  0.707107
rake rectified chilliaicositetraxennon  1
ru rectified hendecaxennon, rectified undecaxennon  0.904534
ux hendecaxennon, undecaxennon, 10D simplex (α10), pyroxennon, decayottal pyramid  0.674200

Count of actually available polyxenna: 6


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