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Alphabetical Index of Polytopes

Total count of actually available polytopes: 2130
Acronyms and some of the names are due to Jonathan Bowers.

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

0...9 - A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Z



Acronym Dim. Name Circumradius

0 ... 9
..., co || sirco, K-4.61 4D cuboctahedron atop small rhombicuboctahedron, cuboctahedral cupola  1.447009
..., co || tic, K-4.129 4D cuboctahedron atop truncated cube, cuboctahedral cap of small rhombated icositetrachoron  2.613126
..., co || toe, K-4.95 4D cuboctahedron atop truncated octahedron, cuboctahedral cap of rectified icosatetrachoron  1.732051
..., co || tut, K-4.48 4D cuboctahedron atop truncated tetrahedron, cuboctahedral cap of small rhombated pentachoron  1.183216
..., cube || co, K-4.35 4D cube atop cuboctahedron, cubical cupola  1.031784
..., cube || ike, K-4.21 4D cube atop icosahedron  1
..., cube || sirco, K-4.71 4D cube atop small rhombicuboctahedron, cubical cap of small disprismatotesseractihexadecachoron  1.485633
..., doe || id, K-4.77 4D dodecahedron atop icosidodecahedron, dodecahedral cupola  1.618034
..., doe || srid, K-4.152 4D dodecahedron atop small rhombicosidodecahedron, dodecahedral cap of small disprismatohexacosihecatonicosachoron  5.236068
..., id || srid, K-4.131 4D icosidodecahedron atop small rhombicosidodecahedron, icosidodecahedron cupola  3.077684
..., id || ti, K-4.158 4D icosidodecahedron atop truncated icosahedron, icosidodecahedral cap of small rhombated hexacosachoron  6.073594
..., ike || doe, K-4.78 4D icosahedron atop dodecahedron,  1.618034
..., ike || id, K-4.137 4D icosahedron atop icosidodecahedron, icosahedral cap of rectified hexacosachoron, icosahedral cupola  3.077684
..., K-4.105 4D square - octagon-prismatic wedge, square magnabicupolaic ring, {4} || op, {8} || squacu, square-cap of srit  1.847759
..., K-4.133 4D decagon - pentagonn-antiprismatic wedge, pentagonal gyrobicupolaic ring, {10} || pap, {5} || gyrated pecu  3.077684
..., K-4.154 4D decagon - pentagon-prismatic wedge, pentagonal orthobicupolaic ring, {10} || pip, {5} || pecu, 2/5-luna of stawros  5.236068
..., K-4.165 4D pentagon - decagon-prismatic wedge, pentagonal magnabicupolaic ring, {5} || dip, {10} || pecu  6.735034
..., K-4.27 4D hexagon - octahedral wedge, triangular gyrobicupolaic ring, {6} || oct, {3} || gyrated tricu, 1/6-luna of ico  1
..., K-4.51 4D triangle - hexagon-prismatic wedge, trigonal magnabicupolaic ring, {3} || hip, {6} || tricu  1.183216
..., K-4.6 4D triangle oct wedge, {3} || gyro trip, {3} || oct  0.774597
..., K-4.64 4D octagon - square-antiprismatic wedge, square gyrobicupolaic ring, {8} || squap, {4} || gyrated squacu  1.447009
..., K-4.73 4D octagon - cube wedge, square orthobicupolaic ring, {8} || cube, {4} || squacu, 1/4-luna of quawros  1.485634
..., K-4.8 4D square - tetrahedral wedge, digonal gyrobicupolaic ring, {4} || tet, line || ortho trip  0.774597
..., n-pyr-pyr 4D {n}-pyramidal pyramid, {n}-scalene, n tet rosette sqrt[(4 sin2(π/n)-1)/(3 sin2(π/n)-1)]/2
..., oct || co || co || oct 4D elongated icositetrachoron  
..., oct || co, K-4.29 4D octahedron atop cuboctahedron, half of icositetrachoron (its oct-first rotunda)  1
..., oct || cube, K-4.15 4D octahedron atop cube, octahedral antiprism, cubical antiprism  0.879465
..., oct || sirco, K-4.107 4D octahedron atop small rhombicuboctahedron, octahedral cap of small prismatotetracontoctachoron  1.847759
..., oct || tricu, K-4.30 4D octahedron atop trigonal cupola, 2/6-luna of icositetrachoron  1
..., oct || tut, K-4.52 4D octahedron atop truncated tetrahedron, octahedral cap of small rhombated pentachoron  1.183216
..., sirco || tic, K-4.100 4D small rhombicuboctahedron atop truncated cube, small-rhombicuboctahedral cap of small rhombated tesseract  1.847759
..., sirco || toe, K-4.75 4D small rhombicuboctahedron atop truncated octahedron  1.582890
..., srid || tid, K-4.159 4D small rhombicosidodecahedron atop truncated dodecahedron, small-rhombicosidodecahedral cap of small rhombated hecatonicosachoron  6.735034
..., tet || co, K-4.23 4D tetrahedron atop cuboctahedron, half of small prismatodecachoron, tetrahedral cap of small prismatodecachoron  1
..., tet || tut, K-4.56 4D tetrahedron atop truncated tetrahedron, tetrahedral cap of rectified tesseract  1.224745
..., ti || srid, K-4.126 4D truncated icosahedron atop small rhombicosidodecahedron  2.485450
..., ti || tid, K-4.151 4D truncated icosahedron atop truncated dodecahedron  3.835128
..., tic || girco, K-4.128 4D truncated cube atop great rhombicuboctahedron, truncated-cubical cap of prismatorhombated hexadecachoron, cuboctahedral supra-cap of small rhombated icositetrachoron  2.613126
..., tic || toe, K-4.98 4D truncated cube atop truncated octahedron  1.785406
..., tid || grid, K-4.173 4D truncated dodecahedron atop great rhombicosidodecahedron, truncated-dodecahedral cap of prismatorhombated hexacosichoron  9.744610
..., toe || girco, K-4.149 4D truncated octahedron atop great rhombicuboctahedron, truncated octahedral cap of prismatorhombated icositetrachoron  3.498949
..., tut || toe, K-4.76 4D truncated tetrahedron atop truncated octahedron, truncated-tetrahedral cap of prismatorhombated pentachoron  1.612452
... 4D 1/10-luna of hexacosachoron  1.618034
10,n-dip 4D decagon - n-gon duoprism sqrt[(3+sqrt(5))/2+1/(4 sin2(π/n))]
12,n-dip 4D dodecagon - n-gon duoprism sqrt[2+sqrt(3)+1/(4 sin2(π/n))]
... 4D 2/10-luna of hexacosachoron  1.618034
... 3D 2cho (?)  1
... 3D 2co (?)  1
... 3D 2co+16{3} (?)  1
... 4D 2cont (?)  3.414214
... 3D 2cube (?)  0.866025
... 4D 2deca (?)  1.414214
... 3D 2did (?)  1
... 3D 2ditdid+5cube (?)  0.866025
... 4D 2dittafady (?)  1.414214
... 3D 2doe (?)  1.401259
... 4D 2ex (?)  1.618034
... 4D 2ex+120ike (?)  1.618034
... 4D 2firgaghi (?)  1.070466
... 4D 2firgogishi (?)  0.661585
... 4D 2firp (?)  0.774597
... 4D 2firsashi (?)  2.802517
... 4D 2firt (?)  1.224745
... 4D 2fix (?)  1.618034
... 4D 2frico (?)  1.732051
... 4D 2fry (?)  4.534568
... 3D 2gad (?)  0.951057
... 3D 2gad+ike (?)  0.951057
... 4D 2gadtifady (?)  0.874032
... 4D 2gaghi (?)  1
... 4D 2gaghi+2paphacki (?)  1
... 4D 2gahi (?)  1.618034
... 4D 2gashi (?)  0.618034
... 4D 2gax (?)  0.618034
... 3D 2geihid (?)  0.618034
... 3D 2gid (?)  0.618034
... 4D 2gidditpix+2dithix (?)  1.732051
... 3D 2gidhei (?)  1
... 3D 2gidhid (?)  0.618034
... 3D 2gidtid+5cube (?)  0.866025
... 4D 2gifdahihox (?)  1
... 3D 2gike (?)  0.587785
... 3D 2gike+sissid (?)  0.587785
... 4D 2gippapivady (?)  0.726543
... 4D 2giprapivady (?)  1.902113
... 4D 2gishi (?)  0.618034
... 3D 2gissid (?)  0.535233
... 4D 2gitphi (?)  0.874032
... 4D 2gofix (?)  0.618034
... 4D 2gogishi (?)  0.540182
... 4D 2gohi (?)  1.618034
... 4D 2grahi (?) 11.252107
... 4D 2grico (?)  4.299451
... 4D 2grip (?)  1.843909
... 4D 2grit (?)  3.005916
... 4D 2grix (?)  9.124101
... 4D 2hex+8oct (?)  0.707107
... 4D 2hi (?)  3.702459
... 4D 2huhoh+3tes+8co (?)  1
... 4D 2ico (?)  1
... 4D 2ico+2gico (?)  1
... 4D 2ico+48{4}+128{3} (?)  1
... 3D 2id (?)  1.618034
... 3D 2id+40{3} (?)  1.618034
... 3D 2ike (?)  0.951057
... 3D 2ike+4gad (?)  0.951057
... 3D 2ike+gad (?)  0.951057
2n,2m-dip 4D 2n-gonal - 2m-gonal duoprism sqrt[1/(4 sin2(π/2n))+1/(4 sin2(π/2m))]
2n,m-dip 4D 2n-gonal - m-gonal duoprism sqrt[1/(4 sin2(π/2n))+1/(4 sin2(π/m))]
2n/2-p 3D 2n-gonal prism of winding number 2 sqrt[1/4+1/(4 sin2(π/n))]
2n/d-p 3D 2n/d-prism, 2n-prism with winding number d sqrt[1/4+1/(4 sin2(π d/2n))]
... 4D 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))]
... 4D 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))]
2n-p 3D 2n-gonal prism sqrt[1/4+1/(4 sin2(π/2n))]
... 3D 2oct (?)  0.707107
... 3D 2oct+12{4} (?)  0.707107
... 3D 2oct+6{4} (?)  0.707107
... 3D 2oct+8{3} (?)  0.707107
... 4D 2oh (?)  1
... 3D blend of 2 pentagonal antiprisms, pair of pentagonal butterfly wedges  0.951057
... 4D 2papvixhi (?)  1.902113
... 4D 2pen (?)  0.632456
... 3D 2pip (?), decagonal prism with winding number 2  0.986715
... 3D orthogonal blend of pentagonal prisms, vertex figure of sadsadox  0.986715
... 4D 2prahi (?)  8.278950
... 4D 2prapvixhi (?)  1.175571
... 4D 2prico (?)  3.498949
... 4D 2prip (?)  1.612452
... 4D 2prit (?)  2.370932
... 4D 2prix (?)  9.744610
... 4D 2proh (?)  2.613126
... 4D 2quiphi (?)  0.726543
... 3D 2quitgissid (?)  0.657550
... 3D 2quith (?)  0.579471
... 3D 2quitsissid (?)  0.852911
... 3D 2raded (?)  1.322876
... 4D 2rahi (?)  4.534568
... 4D 2rahi+2400tet (?)  4.534568
... 4D 2rap (?)  0.774597
... 4D 2rap+20tet (?)  0.774597
... 4D 2rico (?)  1.732051
... 4D 2rico+64{6}+128{3} (?)  1.732051
... 4D 2rico+64{6}+192{3} (?)  1.732051
... 4D 2rit+64tet (?)  1.224745
... 2D 2rothat (?)  
... 4D 2rox (?)  3.077684
... 4D 2rox+1440{5}+2400{3} (?)  3.077684
... 4D 2sadtifady (?)  2.288246
... 3D 2seihid (?)  1.618034
... 4D 2sidditpix+2dithix (?)  1.732051
... 3D 2sidhei (?)  1
... 3D 2sidhid (?)  1.618034
... 3D 2sidtid+5cube (?)  0.866025
... 4D 2sifdahihox (?)  1
... 3D 2sirco (?)  1.398966
... 4D 2sishi (?)  1
... 4D 2sishi+2paphicki (?)  1
... 3D 2sissid (?)  0.587785
... 3D 2sissid+4gike (?)  0.587785
... 3D 2sissid+gike (?)  0.587785
... 4D 2sitphi (?)  2.288246
... 4D 2sophi (?)  3.077684
... 4D 2spapivady (?)  1.175571
... 4D 2sprapivady (?)  3.077684
... 4D 2srahi (?)  6.735034
... 4D 2srahi+1440{10}+4800{3} (?)  6.735034
... 4D 2srahi+2400trip (?)  6.735034
... 4D 2srico (?)  2.613126
... 4D 2srico+144{8}+576{3} (?)  2.613126
... 4D 2srico+192trip (?)  2.613126
... 3D 2srid (?)  2.232951
... 4D 2srip (?)  1.183216
... 4D 2srip+20{6}+40{3} (?)  1.183216
... 4D 2srip+20{6}+60{3} (?)  1.183216
... 4D 2srip+20trip (?)  1.183216
... 4D 2srit (?)  1.847759
... 4D 2srit+48{8}+128{3} (?)  1.847759
... 4D 2srit+64trip (?)  1.847759
... 4D 2srix (?)  6.073594
... 4D 2srix+2400{6}+4800{3} (?)  6.073594
... 4D 2srix+2400{6}+7200{3} (?)  6.073594
... 3D orthogonal blend of pentagagramic prisms, vertex figure of gadsadox  0.725530
... 4D 2tah (?)  2.121320
... 4D 2tes (?)  1
... 3D 2tet (?)  0.612372
... 3D 2thah (?)  0.707107
... 2D 2that (?)  
... 2D 2that+∞{3} (?)  
... 4D 2thex (?)  1.581139
... 4D 2tho (?)  0.707107
... 4D 2tho+24{4} (?)  0.707107
... 3D 2ti (?)  2.478019
... 3D 2tic (?)  1.778824
... 3D 2tid (?)  2.969449
... 3D 2tiggy (?)  1.053292
... 3D 2tigid (?)  1.876844
... 2D 2toxat (?)  
... 3D 2trip (?), hexagonal prism with winding number 2  0.763763
... 3D 2tut (?)  1.172604
... 4D 2xhi (?)  7.579634
3,3,4-tip 6D triangle-triangle-square triprism  1.080123
3,n-dip, K-4.175 4D triangle - n-gon duoprism, n-gon - n-prismatic wedge sqrt[1/3+1/(4 sin2(π/n))]
3,n-dippip 5D triangle - n-gon duoprismatic prism sqrt[7/12+1/(4 sin2(π/n))]
... 4D 3/10-luna of hexacosachoron  1.618034
... 3D 3doe (?)  1.401259
... 3D 3gidtid (?)  0.866025
... 3D 3gissid (?)  0.535233
... 3D 3ike+gad (?)  0.951057
... 4D 3pen (?)  0.632456
... 3D 3sidtid (?)  0.866025
... 3D 3sissid+gike (?)  0.587785
... 3D 3tet (?)  0.612372
4,2n-dip 4D square - 2n-gon duoprism sqrt[1/2+1/(4 sin2(π/2n))]
4,n,m-tip 6D square - n-gon - m-gon - triprism  
4,n,n-tip 6D square - n-gon - n-gon - triprism sqrt[1/2+1/(2 sin2(π/n))]
4,n-dip, K-4.177 4D square - n-gonal duoprism sqrt[1/2+1/(4 sin2(π/n))]
... 4D 4/10-luna of hexacosachoron  1.618034
... 3D 4ike+2gad (?)  0.951057
... 4D 4ike+gad (?)  0.951057
... 3D 4oct (?)  0.707107
... 4D 4pen+160{3} (?)  0.632456
... 3D 4sissid+2gike (?)  0.587785
... 3D 4tet (?)  0.612372
... 3D 4thah (?)  0.707107
5,n-dip 4D pentagon - n-gon duoprism sqrt[(5+sqrt(5))/10+1/(4 sin2(π/n))]
5,n-dippip 5D pentagon - n-gon duoprismatic prism sqrt[(15+2 sqrt(5))/20+1/(4 sin2(π/n))]
... 3D 5ike+gad (?)  0.951057
6,n-dip 4D hexagon - n-gonal duoprism sqrt[1+1/(4 sin2(π/n))]
... 4D hexagon - triangle-prismatic wedge, triangle orthobicupolaic ring, {6} || trip, {3} || tricu  1
... 3D 6doe (?)  1.401259
... 3D 6gissid (?)  0.535233
... 4D 6tes (?)  1
... 3D 6tet (?)  0.612372
8,n-dip 4D octagon - n-gonal duoprism sqrt[(2+sqrt(2))/2+1/(4 sin2(π/n))]

A
... 3D a3b3c, general variation of truncated octahedron ...
... 3D a3b4c, general variation of great rhombicuboctahedron ...
... 3D a3b5c, general variation of great rhombicosidodecahedron ...
addasi 3D altered disnub icosahedron, compound of 20 oct (but not dasi)  0.707107
afdec 4D antifrustic distetracontoctachoron  1.414214
affip 4D antifustric prismatochoron, compound of 16 hiddip  1.414214
affixthi 4D antifrustic hexacositrishecatonicosachoron  2.236068
afpox 4D antifustric prismatohexacosachoron, compound of 60 gippid  2.236068
arie 3D antirhombicosicosahedron, compound of 5 co  1
aud, J58 3D augmented dodecahedron  
auhip, J54 3D augmented hexagonal prism  
aupip, J52 3D augmented pentagonal prism  
aurap 4D augmented rectified pentachoron  
auteddi, J64 3D augmented tridiminished icosahedron  
autic, J66 3D augmented truncated cube  
autid, J68 3D augmented truncated dodecahedron  
autip, J49 3D augmented triangular prism  
autut, J65 3D augmented truncated tetrahedron  
auwaco, J87 3D augmented sphenocorona  
ax (old: hexe) 6D hexeract, dodecapeton, 6D measure-polytope (γ6), geopeton  1.224745
azap 2D apeirogonal antiprism  
azip 2D apeirogonal prism  

B
badhidy (old: buthi) 4D blendic dishecatonicosa-dishecatonicosachoron, compound of tigaghi and quit sishi  2
badohi 4D blendic dishecatonicosachoron  2
bapril 6D biprismatorhombated heptapeton, biruncitruncated heptapeton  2.203893
bark 8D birectified diacosipentacontahexazetton  1.224745
barm (older: scram, even older: bram,
again older: remak, oldest kram) 		6D birectified pentacontitetrapeton (small centrorhombated pentacontitetrapeton)  2.449490
barn 9D birectified enneract, birectified octadecayotton  1.870829
barz (old: drhio) 7D birectified hecatonicosoctaexon  1.224745
batal 6D bitruncated heptapeton  1.647509
batatoh 3D bitruncated alternated-cubic honeycomb, bitruncated tetrahedral-octahedral honeycomb, quarter cubic honeycomb  
batch 3D bitruncated cubic honeycomb, truncated-octahedral honeycomb, Voronoi complex of body-centered cubic (bcc) lattice  
batitit 4D bitruncated tesseractic tetracomb  
baupip, J53 3D biaugmented pentagonal prism  
bautic, J67 3D biaugmented truncated cube  
bautip, J50 3D biaugmented triangular prism  
bay 8D diacositetracont-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 21,4  1.414214
be 8D octadecazetton, enneaenneazetton, bi-enneazetton, quadritruncated enneazetton, equatorial cross-section of (vertex first) q-enne  2
berlin (old: shabrilq) 7D birhombated pentacontihexahecatonicosihexaexon (small demibirhombated pentacontihexapentacosiheptacontihexaexon)  3.570714
bersa (old: dars) 7D birectified hepteract  1.581139
bicyte gysrit 4D bicyclotetragyrated small rhombitesseract  1.847759
bidex 4D bi-icositetradiminished hexacosachoron  1.618034
bidsid pixhi 5D bi-icositetra-diminished small disprismatohexacosihecatonicosachoron  5.236068
bidsrip 4D bidiminished small rhombated pentachoron  1.183216
bif 8D diacositetracont-dischiliahectohexaconta-zetton, Gosset polyzetton 12,4  2
bilbiro, J91 3D bilunabirotunda  
bipgy srit 4D bipara(bi)gyrated small rhombitesseract, pseudo cantellated tesseract  1.847759
birgax 4D bi-icositetra-replinished grand hexacosachoron  0.618034
bitem (older: gacram, even older: botam,
oldest: kobtam) 		6D bitruncated pentacontitetrapeton (great centrorhombated pentacontitetrapeton, heptacontidia-bitruncated pentacontitetrapeton)  4.123106
bithi 4D blendic trishecatonicosachoron  2
bittin 5D bitruncated penteract  2.549510
bittit 5D bitruncated triacontiditeron  2.121320
bittix (old: dittox) 5D bitruncated hexateron  1.554563
bittoc 7D bitruncated octaexon  1.713914
borfy 8D birectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t2(41,2)  2.449490
botag 6D bitruncated hexacontatetrapeton, bitruncated hexacross  2.121320
botajik 6D bitruncated icosiheptaheptacontidipeton  2.943920
botox 6D bitruncated hexeract  2.915476
brag (old: dric) 6D birectified hexacontitetrapeton  1.224745
branq (old: dranq) 7D birectified hecatonicosihexapentacosiheptacontihexaexon  1.936492
brav 9D birectified pentacosidodecayotton  1.224745
breday 9D birectified decayotton  1
brene 8D birectified enneazetton  1
bricot 4D birectified icositetrachoric tetracomb, birectified demitesseractic tetracomb  
bril (old: driss) 6D birectified heptapeton  0.925820
brillip 7D birectified - heptapeton prism  1.052209
brinoh 5D birectified penteractic pentacomb  
bro 8D birectified octeract, birectified hexadecazetton  1.732051
broc (old: droc) 7D birectified octaexon, duorectified octaexon  0.968246
brox (old: drax) 6D birectified hexeract  1.414214
buffy 8D diacositetracont-dischiliahectohexacont-myriaheptachiliadiacosioctaconta-zetton; rectified bif,  t1(12,4); birectified bay,  t2(21,4); tetrarectified fy,  t4(41,2)  3.872983

C
cadditradid 3D complex (ditrigonal) rhombidodecadodecahedron  0.866025
cagral (old: gacral) 6D celligreatorhombated heptapeton, stericantitruncated heptapeton  2.618615
cappin 5D celliprismated penteract, steritruncated pentacross  2.423081
cappix (old: happix) 5D celliprismated hexateron, cellitruncated hexateron, hedratoprismated hexateron, steritruncated hexateron  1.632993
capt 5D celliprismated triacontiditeron, steritruncated penteract  2.878460
captal 6D celliprismatotruncated heptapeton, steriruncitruncated heptapeton  2.591194
captid (old: hiptid) 5D celliprismatotruncated dodecateron, hedratoprismatotruncated dodecateron, steriruncitruncated hexateron  2.236068
captint 5D celliprismatotruncated penteractitriacontiditeron, steriruncitruncated penteract, steriruncitruncated pentacross  3.701317
card (older: scard, oldest: shard) 5D (small) cellirhombated dodecateron, small hedratorhombated dodecateron, stericantellated hexateron  1.658312
carnit (old: scarnit) 5D (small) cellirhombated penteractitriacontiditeron, stericantellated penteract, stericantellated pentacross  2.660531
catal 6D cellitruncated heptapeton, steritruncated heptapeton  1.851640
catog 6D cellitruncated hexacontatetrapeton, steritruncated hexacross  2.828427
chi 4D chirohecatonicosachoron, chiral compound of 5 ico  1
cho 3D cubohemioctahedron, rhomballelohedron  1
... 3D cho+4{6/2} (?)  1
chon 3D cubic honeycomb, 3D hypercubical honeycomb (δ3), Voronoi complex of primitive cubical lattice, Delone complex of primitive cubical lattice  
cid 3D small complex icosidodecahedron  0.951057
co   (alt.: rotet) 3D cuboctahedron, rhombitetratetrahedron, rectified cube, rectified octahedron, cantellated tetrahedron, trigonal gyrobicupola  1
... 4D ofx3xoo4ooo&#xt  
... 4D bistratic co-cap of prip, tut-diminished prip  1.612452
cocube 6D cuboctahedron-cube duoprism  1.322876
codip 6D cuboctahedron-cuboctahedron duoprism  1.414214
codoe 6D cuboctahedron-dodecahedron duoprism  1.721489
cogart (old: gocart) 5D celligreatorhombated triacontiditeron (great cellirhombated triacontiditeron), stericantitruncated pentacross  3.534493
cograx (older: gocrax, oldest: goharx) 5D celligreatorhombated hexateron (great cellirhombated hexateron, great hedratorhombated hexateron), stericanitruncated hexateron  2.327373
cogrin (old: gocrin) 5D celligreatorhombated penteract (great cellirhombated penteract), stericantitruncated penteract  3.988340
coid 6D cuboctahedron-icosidodecahedron duoprism  1.902113
coike 6D cuboctahedron-icosahedron duoprism  1.380039
cont 4D tetracontoctachoron, octagonny, bitruncated icositetrachoron  3.414214
contip 5D tetracontoctachoron prism, bitruncated-icositetrachoron prism  3.450631
copal 6D celliprismated heptapeton, steriruncinated heptapeton  1.963961
cope, K-4.43 4D cuboctahedron prism  1.118034
copen 7D cuboctahedron - pentachoron duoprism  1.183216
copog 6D celliprismated hexacontatetrapeton, steriruncinated hexacross  3.316625
copril 6D celliprismatorhombated heptapeton, steriruncicantellated heptapeton  2.725541
coqroc 4D tetracontoctiquasirhombated tetracontoctachoron  1.325654
cotco 3D cuboctatruncated cuboctahedron, cubitruncated cuboctahedron  1.322876
cotcope 4D cuboctatruncated-cuboctahedron prism, cubitruncated-cuboctahedron prism  1.414214
crag (old: scrag) 6D cellirhombated hexacontatetrapeton, stericantellated hexacross  3.082207
cral (old: scral) 6D cellirhombated heptapeton, stericantellated heptapeton  1.927248
crax (old: scrax) 6D (small) cellirhombated hexeract, stericantellated hexeract  3.277597
croc 4D tetracontoctirhombated tetracontoctachoron  3.200413
cube, 4-p 3D cube, hexahedron, 3D measure-polytope (γ3), geohedron, square prism, triangular antitegum, Voronoi cell of primitive cubical lattice, Delone cell of primitive cubical lattice  0.866025
cubedoe 6D cube-dodecahedron duoprism  1.647278
cubid 6D cube-icosidodecahedron duoprism  1.835220
cubike 6D cube-icosahedron duoprism  1.286277
cubpy, K-4.26 4D cubical pyramid, vertex-pyramid of ico  1
cypit 4D cyclopentachoric tetrachomb, pentachoric-dispentachoric tetracomb, Delone complex of lattice A4  
cypropit 4D cycloprismatorhombated pentachoric tetrachomb, great prismatodispentachoric tetracomb  
cyte gysrit 4D cyclotetragyrated small rhombitesseract  1.847759
cyted spic 4D cyclotetradiminished small prismatotetracontoctachoron  1.847759
cyted srit 4D cyclotetradiminished small rhombitesseract, cyclotetraugmented octagonal duoprism  1.847759
cytid rico 4D cyclotridiminished rectified-icositetrachoron, metatridiminished rectified-icositetrachoron  1.732051
cytopit 4D cyclotruncated pentachoric tetracomb, small truncated-pentachoric tetracomb  
cyxh 5D cyclohexateric honeycomb  

D
dadip (old: dedip) 4D decagon-decagon duoprism  2.288246
dahi 4D dishecatonicosachoron  3
dahiquatady 4D dishecatonicosiquasitruncated dishecatonicosachoron  4.134026
dahitady 4D dishecatonicositruncated dishecatonicosachoron  2.431014
dap, 10-ap 3D decagonal antiprism  1.674505
dappip, K-4.96 4D decagonal-antiprism prism  1.747560
dard tipady 4D diretroditetrahedronary prismatodishecatonicosachoron  1.414214
dasi 3D disnub icosahedron, compound of 20 oct (but not addasi)  0.707107
datap 4D ditetrahedronary prismatochoron, compound of 100 hiddip  1.414214
datcathi 4D ditetrahedronary coincidic trishecatonicosachoron  1.414214
dattady 4D ditetrahedronary dishecatonicosachoron  1.414214
dattathi 4D ditetrahedronary trishecatonicosachoron  1.414214
dawci, J90 3D disphenocingulum  
day 9D decayotton, 9D simplex (α9), pyroyotton, enneazettal pyramid  0.670820
deca 4D decachoron, bitruncated pentachoron, equatorial cross-section of (vertex first) q-pent  1.414214
decap 5D decachoron prism  1.500000
deker 10D dekeract, icosaxennon, 10D measure-polytope (γ10), geoxennon  1.581139
desided 3D disnub icosidodecadodecahedron, compound of 2 sided  
did 3D dodecadodecahedron, great dodecadodecahedron  1
... 3D did+sidhei+gidhei (?)  1
diddip 4D dodecadodecahedron prism  1.118034
didhi 4D dodecahedronary dishecatonicosachoron  1
... 4D bistratic trip-cap of srip, {3}-diminished small rhombated pentachoron  1.183216
dip (old: dep) 3D decagonal prism  1.693527
diquitdi 4D disicositetraquasitruncated disicositetrachoron  1.608038
dird 3D dirhimbidodecahedron, compound of 12 pip  0.986715
dirid, J76 3D diminished rhombicosidodecahedron  2.232951
dis 3D disnubihedron, compound of 12 tet  0.612372
disco 3D disnub cuboctahedron, compound of 2 snic  
disdid 3D disnub dodecadodecahedron, compound of 2 siddid  
dissid 3D disnub icosidodecahedron, compound of 2 snid  
dissit 3D disnub tetrahedron, compound of 4 oct  0.707107
ditatha 2D ditrigonary trigonal hemiapeirogonal tesselation  
ditdi 4D disicositetratruncated disicositetrachoron  2.326846
ditdid 3D ditrigonal dodecadodecahedron  0.866025
... 3D ditdid+gidtid (?)  0.866025
ditdiddip 4D ditrigonal-dodecadodecahedron prism  1
dithix 4D ditrigonary hecatonicosihexacosichoron  1.732051
dittadphi 4D ditetrahedronary disprismatohecatonicosachoron  1.414214
dittady 4D ditrigonary dishecatonicosachoron  1
... 4D dittady+dox (?)  1
dittafady 4D ditetrahedrofissary dishecatonicosachoron  1.414214
doc 4D distetracontoctachoron  2.449490
dod honho 4D disoctidishemioctintercepted hemioctachoron  1
dodoe 6D dodecahedron-dodecahedron duoprism  1.981679
doe 3D dodecahedron, cosmohedron  1.401259
doh honho 4D disoctihemihexadekintercepted hemioctachoron  1
dohitipady 4D dishecatonicositruncated prismatodishecatonicosachoron  4.472136
dope, K-4.74 4D dodecahedron prism  1.487792
dopix 4D dodecahedronary prismatohexacosachoron, compound of 60 spid  1
doso 3D disnub octahedron, compound of 8 oct  0.707107
dot 5D dodecateron, birectified hexateron, equatorial cross-section of (vertex first) 1/q-ax  0.866025
dotip 6D dodecateron prism  1
dox (old: gex) 4D dodecahedronary hexacosachoron (great hexacosachoron), compound of 25 ico  1
dri 3D dirhombicosahedron, compound of 20 trip  0.763763
dro 3D dirhombioctahedron, compound of 8 trip  0.763763
duhd 4D decahemidecachoron  1

E
e 3D icosiicosahedron, compound of 10 tet  0.612372
ebdah hithi 4D exoblendic dishemihecatonicostrishecatonicosachoron  2
ebuthi 4D exotic blendic tetrishecatonicosachoron  2
efdit xithi 4D exofissary ditrigonal hexacositrishecatonicosachoron  1.732051
ek 8D diacosipentacontahexazetton, octacross (β8), aerozetton, octaexal antiprism  0.707107
ekip 9D diacosipentacontahexazetton prism  0.866025
ene 8D enneazetton, 8D simplex (α8), pyrozetton, octaexal pyramid  0.666667
enep 9D enneazetton prism  0.833333
enne 9D enneract, octadecayotton, 9D measure-polytope (γ9), geoyotton  1.500000
epcu, J20 3D elongated pentagonal cupola  
epedpy, J16 3D elongated pentagonal dipyramid  
epeppy, J9 3D elongated pentagonal pyramid  
epgybro, J43 3D elongated pentagonal gyrobirotunda  
epgycuro, J41 3D elongated pentagonal gyrocupolarotunda  
epigybcu, J39 3D elongated pentagonal gyrobicupola  
epobcu, J38 3D elongated pentagonal orthobicupola  
epobro, J42 3D elongated pentagonal orthobirotunda  
epocuro, J40 3D elongated pentagonal orthocupolarotunda  
epro, J21 3D elongated pentagonal rotunda  
escu, J19 3D elongated square cupola, diminished small rhombicuboctahedron  1.398966
esquidpy, J15 3D elongated square dipyramid  
esquigybcu, J37 3D elongated square gyrobicupola, pseudorhombicuboctahedron, Miller's solid  1.398966
esquipy, J8 3D elongated square pyramid  
etcu, J18 3D elongated triangular cupola  
etidpy, J14 3D elongated trigonal dipyramid  
etigybcu, J36 3D elongated triangular gyrobicupola  
etobcu, J35 3D elongated triangular orthobicupola  
etoh 3D elongated tetrahedral-octahedral honeycomb, elongated alternated cubic honeycomb  
etoph 3D elongated-triagonal prismatic honeycomb  
etrat 2D elongated triangular tiling  
etripy, J7 3D elongated triangular pyramid  
ex 4D hexacosachoron, 600-cell, hydrochoron  1.618034
... 4D ex+fix (?)  1.618034
... 4D ex+gohi+120id (?)  1.618034
exip 5D hexacosachoron prism  1.693527

F
... 3D f v10o, variation of decagonal prism, hull of 10/3-prism  1.286277
... 3D f v3o, variation of triangular prism, vertex figure of rectified great grand hecatonicosachoron  0.884212
... 3D f v5o, variation of pentagonal prism, vertex figure of righi  0.964832
... 3D f x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron  0.993902
... 3D f x4o, variation of cube  1.074481
... 3D f x5/2o, variation of 5/2-prism, vertex figure of raghi  0.964832
... 3D f x5o, variation of pentagonal prism  1.173932
... 3D f3o3x, variation of cuboctahedron  1.327129
... 3D f3o4x, variation of small rhombicuboctahedron  1.789732
... 3D f3o5x, variation of srid, hull of siid, hull of quit gissid  2.785428
... 3D f3v5v, variation of grid, hull of idtid  3.236068
... 3D f3x5o, variation of ti, hull of tigid, hull of gaddid  3.036797
... 3D f3x5x, variation of great rhombicosidodecahedron, hull of quitdid  4.341518
fawdint 5D frustisphenary dispenteractitriacontaditeron, fastegiverted dispenteractitriacontaditeron  0.914214
fe 6D tetradecapeton, tritruncated heptapeton, equatorial cross-section of (vertex first) q-hept  1.732051
firgaghi 4D faceted rectified great grand hecatonicosachoron  1.070466
firgogishi 4D facetorectified great grand stellated hecatonicosachoron  0.661585
firp 4D faceted rectified pentachoron  0.774597
... 4D firp+rap+15{4} (?)  0.774597
firsashi 4D faceted rectified small stellated hecatonicosachoron  2.802517
firt 4D facetorectified tesseract  1.224745
fix 4D icosahedral hecatonicosachoron, faceted hexacosichoron  1.618034
... 4D fix+gahi+120id (?)  1.618034
frico 4D facetorectified icositetrachoron  1.732051
frogfix 4D faceted rectified great faceted hexacosichoron  0.726543
frox 4D faceted rectified hexacosichoron  3.077684
... 4D frox+600 2thah (?)  3.077684
fry 4D facetorectified hecatonicosachoron  4.534568
fy 8D dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 41,2, Witting polytope  1

G
gabbadipady 4D great blendic disprismatodishecatonicosachoron  2
... 4D gabbadipady+ganbathi (?), sanbathi+tigaghi (?)  2
gabbathi 4D great blendic trishecatonicosachoron  2
gabippady (old: gabbippady) 4D great blendic prismatodishecatonicosachoron  2
gaborg 6D great birhombihexacontatetrapeton, bicantitruncated hexacross  3.391165
gabril 6D great birhombated heptapeton, bicantitruncated heptapeton  2.390457
gacal 6D great cellated heptapeton, steriruncicantitruncated heptapeton  3.380617
gacid 3D great complex icosidodecahedron  0.587785
gacnet 5D great cellated penteractitriacontiditeron, omnitruncated penteract, omnitruncated pentacross  4.829189
gad 3D great dodecahedron  0.951057
gadatady 4D grand ditetrahedral dishecatonicosachoron  0.874032
gadathiphi 4D grand ditetrahedronary hecatonicosaprismatohecatonicosachoron  0.874032
... 4D gadathiphi+600 2tet (?)  0.874032
gaddid 3D great dodekicosidodecahedron  0.716891
gaddiddip 4D great-dodekicosidodecahedron prism  0.874032
gaddip 4D great-dodecahedron prism  1.074481
gaddit thix 4D grand ditrigonal trishecatonicosihexacosachoron  1.732051
gadixady 4D great dishexacosadishecatonicosachoron  3.139124
gadixhix (old: gixhix) 4D great dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not sadixhix)  1
gadsadox 4D great disnub dihexacosachoron  0.726543
gadsid 3D great disnub dodecahedron, compound of 12 pap  0.951057
gadtap 4D great ditetrahedronary prismatochoron, compound of 36 stadidip  0.874032
gadtaxady 4D grand ditetrahedronary hexacosadishecatonicosachoron  0.874032
gadtaxhi 4D great ditetrahedronary hexacosihecatonicosachoron  0.874032
gadtef pixady 4D great ditetrahedronary exofissary prismatohexacosadishecatonicosachoron  0.874032
gadtifady (old: gadtafady) 4D great ditetrahedronarofissary dishecatonicosachoron  0.874032
gaedit pathi 4D grand exoditetrahedronary prismatotriakishecatonicosachoron  0.874032
gaghi 4D great grand hecatonicosachoron  1
... 4D gaghi+didhi (?)  1
... 4D gaghi+idhi (?)  1
... 4D gaghi+paphacki+sridaphi (?)  1
... 4D gaghi+sridixhi (?)  1
gahi 4D grand hecatonicosachoron  1.618034
... 4D gahi+gohi (?)  1.618034
ganbathi 4D great spinoblendic trishecatonicosachoron  2
ganbippady 4D great spinoblendic prismatodishecatonicosachoron  2
gap 4D great antiprism, grand antiprism, pentagonal double antiprismoid  1.618034
gapil 6D great prismated heptapeton, runcicantitruncated heptapeton  2.803060
gappip 5D great-antiprism prism  1.693527
gapript 4D great pseudorhombated prismatotesseract  0.765367
... 4D gapript+16 2thah (?)  0.765367
gapthi 4D grand prismatotriakishecatonicosachoron  2.400819
gaqri 4D great quasirhombated icositetrachoron  1.230739
gaqrigafix 4D great quasirhombated great faceted hexacosachoron  1.080363
gaqrigaghi 4D great quasirhombated great grand hecatonicosachoron  1.679184
gaqrigagishi 4D great quasirhombated great grand stellated hecatonicosachoron  1.179024
gaqrigashi 4D great quasirhombated great stellated hecatonicosachoron  2.700333
gaqript 4D grand quasirhombated prismatotesseract  0.765367
gaqrisashi 4D great quasirhombated small stellated hecatonicosachoron  5.018002
gaqrit 4D great quasirhombated tesseract  1.401594
gaquapac 4D great quasiprismatotetracontoctachoron  1.127864
gaquatid 3D great quasitruncated icosidodecahedron, stellatruncated icosidodecahedron  1.020684
gaquatiddip 4D great-quasitruncated-icosidodecahedron prism  1.136572
gaquidapixhi 4D great quasidisprismatohexacosihecatonicosachoron  1.581630
gaquidipdy 4D grand quasidisprismatodishecatonicosachoron  1.695697
gaquidphihi 4D great quasidisprismatohecatonicosihecatonicosachoron  4.242641
gaquidpoth 4D great quasidisprismatotesseractihexadecachoron  1.938391
garawv hixhi 4D great retrosphenoverted hecatonicosihexacosihecatonicosachoron  1.054256
gard tadhix 4D grand retroditetrahedronary dishecatonicosihexacosachoron  0.874032
gardatady 4D grand retroditetrahedral dishecatonicosachoron  0.874032
... 4D gardatady+1440{5}  0.874032
gardatathi 4D grand retroditetrahedronary trishecatonicosachoron  0.874032
gardtapaxhi 4D grand retroditetrahedronary hexacosidishecatonicosachoron  0.874032
gardtaxady 4D grand retroditetrahedronary hexacosidishecatonicosachoron  0.874032
gari 3D great antirhombicosahedron, compound of 5 cho  1
garpit 4D grand rhombated dishexadecachoron  1.847759
gart 5D great rhombated triacontiditeron, cantitruncated pentacross  2.645751
garx 5D great rhombated hexateron, cantitruncated hexateron  2
gashi 4D grand stellated hecatonicosachoron  0.618034
gassic 3D (chiral) great snub cube, compound of 3 squap  0.822664
gassid 3D great snub dodecahedron, compound of 6 pap  0.951057
gax 4D grand hexacosachoron  0.618034
... 4D gax+gashi+120gid (?)  0.618034
... 4D gax+gofix (?)  0.618034
gee (old: xic) 6D hexacontitetrapeton, hexacross (β6), aeropeton, hexateral antiprism  0.707107
geedatepthi 4D great exoditetrahedrary prismatotrishecatonicosachoron  1.414214
geep 7D hexacontitetrapeton prism, hexacross prism  0.866025
gefdit dixdy 4D great exofissary ditrigonal dihexacosadihecatonicosachoron  1.732051
gefidtethi 4D great exofissary ditetrahedronary tetrakishecatonicosachoron  0.874032
gefirdit xethi 4D great exofissary retroditetrahedronary hexacositrishecatonicosachoron  1.414214
gefradit thix 4D great exofissary retroditetrahedronary triakishecatonicosihexacosachoron  0.874032
gefridit xethi 4D great exofissary retroinverted ditetrahedronary hexacositrishecatonicosachoron  1.414214
geihid 3D great icosihemidodecahedron  0.618034
getit dixady 4D great tritrigonal dihexacosidihecatonicosachoron  1.136572
getit phiddix 4D great tritrigonal prismatohecatonicosidishexacosachoron  1.136572
getit pixady 4D great tritrigonal prismatohexacosidihecatonicosachoron  1.136572
getit thix 4D great tritrigonal trishecatonicosihexacosachoron  1.136572
getit xethi 4D great tritrigonal hexacositrishecatonicosachoron  1.136572
getitdin 5D great tesseractitriacontidiadispenteract  1.276197
ghahoh 4D great hexadecahemihexadecachoron  1
ghihi 4D great hecatonicosihecatonicosachoron  0.854102
ghipady 4D great hecatonicosiprismatodishecatonicosachoron  4.087567
gibcotdin 5D great biprismatocellitriacontadiadispenteract  2.001839
gibpof 6D great biprismated tetradecapeton, biruncicantitruncated heptapeton  3
gibrant 5D great birhombated penteractitriacontiditeron, bicantitruncated penteract  3.391165
gibrid (old: gadrid) 5D great birhombated dodecateron, bicantitruncated hexateron  2.179449
gibtadin 5D great biprismatotriacontadiadispenteract  1.488108
gic 4D great tetracontoctachoron, octagrammy  0.585786
gicdatrid 3D great complex (ditrigonal) rhombicosidodecahedron  0.866025
gichado 4D great cubihexadecadisoctachoron  1.174172
gico 4D great icositetrachoron, compound of 3 tes  1
... 4D gico+8co+16 2thah (?)  1
gid 3D great icosidodecahedron  0.618034
gid thipady 4D great ditrigonal hecatonicosiprismatodishecatonicosachoron  4.087567
gid tipathi 4D great ditrigonal prismatotriakishecatonicosachoron  2.920251
... 3D gid+geihid+gidhid (?)  0.618034
gidard tipady 4D great diretroditetrahedronary prismatodishecatonicosachoron  1.414214
gidasid 3D great invertidisnub dodecahedron, compound of 12 starp  0.587785
giddasid 3D great disnub icosidodecahedron, compound of 2 gosid  
giddatady 4D great ditetrahedronary dishecatonicosachoron  1.414214
giddic 4D great distetracontoctachoron  0.765367
giddip 4D great-icosidodecahedron prism  0.794963
giddird 3D great dirhombidodecahedron, compound of 12 stip  0.725530
giddit thix 4D great ditrigonal trishecatonicosihexacosachoron  1.732051
gidditdid 3D great ditrigonal dodekicosidodecahedron, great dodekified icosidodecahedron  1.134229
gidditdiddip 4D great-ditrigonal-dodekicosidodecahedron prism  1.239546
gidditpix 4D great ditrigonary prismatohexacosichoron  1.732051
giddy 3D great dodekicosahedron  1.134229
... 3D giddy+12{10/2} (?)  1.134229
... 3D giddy+20{6/2}  1.134229
gidhei 3D great dodecahemicosahedron, small dodecahemiicosahedron (but not sidhei)  1
gidhid 3D great dodecahemidodecahedron  0.618034
gidhiquit paddy 4D great dishecatonicosaquasitruncated prismatodishecatonicosachoron  2.140933
gidipthi 4D great dipental trishecatonicosachoron  1.328131
gidisdrid 3D great disnub dirhombicosidodecahedron, Skilling's figure  0.707107
gidpith 4D great disprismatotesseractihexadecachoron, great prismated tesseract, omnitruncated tesseract  3.498949
gidpithip 5D great-disprismatotesseractihexadecachoric prism, great-prismated-tesseract prism, central segment of cogart  3.534493
gidpixathi 4D great dipentagonal hexacositrihecatonicosachoron  1.328131
gidpixhi 4D great disprismatohexacosihecatonicosachoron, omnitruncated hecatonicosachoron, omnitruncated hexacosachoron 12.786651
gidrid 3D great dirhombicosidodecahedron, great snub disicosidisdodecahedron, Miller's monster  0.707107
gidrissid 3D great diretrosnub icosidodecahedron, compound of 2 girsid  
gidsac 3D great disnub cube, compound of 6 squap  0.822664
gidsid 3D great invertidisnub icosidodecahedron, compound of 2 gisid  
gidthidy hi 4D great ditrigonal hecatonicosadishecatonicosihecatonicosachoron  1.732051
gidthixhi 4D great ditrigonal hecatonicosihexacosihecatonicosachoron  3.139124
gidtid 3D great ditrigonal icosidodecahedron  0.866025
gidtidap 4D great-ditrigonal-icosidodecahedron antiprism ...
gidtiddip 4D great-ditrigonal-icosidodecahedron prism  1
gidtixhi 4D great ditrigonary hexacosihecatonicosachoron  1
... 4D gidtixhi+dox (?)  1
gifdahihox 4D great fissary dodecahedronary hecatonicosihemihexacosachoron  1
giid 3D great icosicosidodecahedron  1.134229
giidip 4D great-icosicosidodecahedron prism  1.239546
gik vipathi 4D great skewverted prismatotriakishecatonicosachoron  2.828427
gik vixathi 4D great skewverted hexacositriakishecatonicosachoro  2.013884
gike 3D great icosahedron, retrosnub tetrahedron, retrosnub tetratetrahedron  0.587785
gikepy 4D great-icosahedral pyramid, vertex cap of gax  0.618034
gikkiv datapixady 4D great skewverted ditrigonary prismatohexacosadishecatonicosachoron  2.013884
gikrid 3D great chirorhombidodecahedron, compound of 6 stip  0.725530
gikviphado 4D great skewverted prismatohexadecadisoctachoron  1.414214
ginnont 5D great penteractipenteractitriacontiditeron  1.021221
gipe 4D great-icosahedron prism  0.771681
giphado 4D great prismatohexadecadisoctachoron  1.082392
giphiddix 4D great prismatohecatonicosadishexacosachoron  1.624598
giphidy 4D great prismated hecatonicosadishecatonicosachoron  1.348948
giphihix 4D great prismatohecatonicosahecatonicosahexacosachoron  1.893038
giphin 5D great prismated hemipenteract  3.259601
giphixhi 4D great prismatohecatonicosihexacosihecatonicosachoron  2.920251
gippapivady 4D great pentagrammal antiprismatoverted dishecatonicosachoron  0.726543
gippic 4D great prismatotetracontoctachoron, omnitruncated icositetrachoron  5.169905
gippiccup 5D great-prismatotetracontoctachoron prism, omnitruncated-icositetrachoron prism  5.194028
gippid 4D great prismatodecachoron  2.236068
gippiddip 5D great-prismatodecachoron prism  2.291288
gippin 5D great prismated penteract, runcicantitruncated penteract  4.371952
gippit 5D great prismated triacontiditeron, omnitruncated hemipenteract  3.872983
gippix 5D great prismated hexateron, runcicantitruncated hexateron  2.581989
gippixady 4D great prismatohexacosadishecatonicosachoron  1.207883
gippixhihy 4D great prismatohexacosihecatonicosihecatonicosachoron  1.021064
giprapivady 4D great pentagonal retroprismatoverted dishecatonicosachoron  1.902113
gipriphi 4D great pseudorhombated prismatohecatonicosachoron  0.799575
... 4D gipriphi+600 2thah (?)  0.799575
gipthi 4D great prismatotriakishecatonicosachoron  3.531591
gipti 4D great prismatotriakisicositetrachoron  1.938391
girc 4D great retrotetracontoctachoron  0.765367
girco 3D great rhombicuboctahedron (but not querco), truncated cuboctahedron  2.317611
gircope, K-4.125 4D great-rhombicuboctahedron prism  2.370932
gird 3D great rhombidodecahedron  0.716891
... 3D gird+12{10/4} (?)  0.716891
... 3D gird+20{6/2} (?)  0.716891
girfaddic 4D great retrofrustic distetracontoctachoron  1.414214
girfix 4D great rhombated faceted hexacosachoron  7.404918
girfixthi 4D great retrofrustic hexacositrishecatonicosachoron  2.236068
girhin 5D great rhombated hemipenteract, cantitruncated demipenteract  2.761340
girn 5D great rhombated penteract, cantitruncated penteract  3.563671
girsid 3D great (inverted) retrosnub icosidodecahedron, azathoth  
girsiddip 4D great-(inverted)-retrosnub-icosidodecahedron prism  
gisdid 3D great snub dodekicosidodecahedron, shub-niggurath  0.707107
gisdiddip 4D great-snub-dodekicosidodecahedron prism  
gisdipthi 4D great stellated dipental trishecatonicosachoron  1.328131
gishi 4D great stellated hecatonicosachoron  0.618034
... 4D gishi+gashi (?)  0.618034
gisid 3D great inverted snub icosidodecahedron, great vertisnub icosidodecahedron, cthulhu  
gisiddip 4D great-inverted-snub-icosidodecahedron prism  
gisp 4D great swirlprism  0.618034
gissed 3D great invertisnub dodecahedron, compound of 6 starp  0.587785
gissi 3D great snub icosahedron, compound of 10 oct (but not si)  0.707107
gissid 3D great stellated dodecahedron  0.535233
gissiddip 4D great-stellated-dodecahedron prism  0.732444
git thixady 4D great tritrigonal hecatonicosihexacosidishecatonicosachoron  1.136572
gitphi 4D great tripesic hecatonicosachoron  0.874032
gitpodady 4D great (intersected) tripesic dodecahedronary dishecatonicosachoron  1
gittith 4D great tesseractitesseractihexadecachoron  0.890446
gixathi 4D great hexacositriakishecatonicosachoron  3.804226
gixhi 4D great hexacosihecatonicosachoron  1.244649
gixhidy 4D great hexacosihecatonicosadishecatonicosachoron  1.464888
gixhihy 4D great hexacosihecatonicosihecatonicosachoron  0.763932
gixipady 4D great hexacosiprismatodishecatonicosachoron  1.624598
gocad (old: gohad) 5D great cellated dodecateron (great hedrated dodecateron), omnitruncated hexateron  2.958040
gocco 3D great cubicuboctahedron  0.736813
goccope 4D great-cubicuboctahedron prism  0.890446
gofix 4D great icosahedral hecatonicosachoron, great faceted hexacosichoron  0.618034
... 4D gofix+gishi+120gid (?)  0.618034
gogishi 4D great grand stellated hecatonicosachoron  0.540182
gohi 4D great hecatonicosachoron  1.618034
gohihix 4D great hecatonicosihecatonicosihexacosachoron  1.464888
gohiny 4D great hecatonicosintercepted hecatonicosachoron  0.661585
gondip 4D great octagonal spinoduoprism  0.890446
goquidipdy 4D great quasidisprismatodishecatonicosachoron  6.566933
gosid 3D great snub icosidodecahedron, tsathoggua  
gosiddip 4D great-snub-icosidodecahedron prism  
gotaf 6D great terated tetradecapeton, omnitruncated heptapeton  3.741657
gotdatixhi 4D great toroidoditrigonary hexacosihecatonicosachoron  1.732051
gotditpix 4D great toroidoditrigonary prismatohexacosichoron  1.732051
grad tathi 4D great retroditetrahedronary trishecatonicosachoron  1.414214
graggix 4D great rhombated grand hexacosachoron  1.658546
graghi 4D great rhombated grand hecatonicosachoron  4.550627
grahi 4D great rhombated hecatonicosachoron, cantitruncated hecatonicosachoron 11.252107
grahip (old: grahipe) 5D great-rhombated-hecatonicosachoron prism, cantitruncated-hecatonicosachoron prism 11.263210
graphi 4D grand retropental hecatonicosachoron  0.726543
grassid 3D great rhombisnub dodecahedron, compound of 6 stiddip  0.794963
gratoh 3D great rhombated tetrahedral-octahedral honeycomb, cantitruncated alternated cubic honeycomb, cantitruncated tetrahedral-octahedral honeycomb  
grawv ditathi 4D great retrosphenoverted ditrigonary triakishecatonicosachoron  2.093315
grawv hidy 4D great retrosphenoverted hecatonicosadishecatonicosachoron  1.589926
grawv hixhi 4D great retrosphenoverted hecatonicosihexacosihecatonicosachoron  1.513868
grawvathi 4D great retrosphenoverted triakishecatonicosachoron  2.572554
grawvixady 4D great retrosphenoverted hexacosadishecatonicosachoron  2.036148
grich 3D great rhombated cubic honeycomb, cantitruncated cubic honeycomb  
grico 4D great rhombated icositetrachoron, cantitruncated icositetrachoron  4.299451
gricope (old: gripe) 5D great-rhombated-icositetrachoron prism, cantitruncated-icositetrachoron prism  4.328427
grid 3D great rhombicosidodecahedron (but not qrid), truncated icosidodecahedron  3.802395
gridaphi 4D great retroinverted dodecahedronary prismatohecatonicosachoron  1
griddip, K-4.150 4D great-rhombicosidodecahedron prism  3.835128
gridixhi 4D great retroinverted dodecahedronary hexacosahecatonicosachoron  1
gridtathi 4D great retroinverted ditetrahedronary trishecatonicosachoron  1.414214
gril 6D great rhombated heptapeton, cantitruncated heptapeton  2.104417
grip 4D great rhombated pentachoron, cantitruncated pentachoron  1.843909
griphi 4D great retropental hecatonicosachoron  1.175571
grippip 5D great-rhombated-pentachoron prism  1.910497
griso 3D great rhombisnub octahedron, compound of 4 hip  1.118034
grit 4D great rhombated tesseract, cantitruncated tesseract  3.005916
grittip 5D truncated-tesseract prism, central segment of prin  3.047217
grix 4D great rhombated hexacosachoron, cantitruncated hexacosachoron  9.124101
grixip 5D great-rhombated-hexacosachoron prism  4.776223
grog 6D great rhombihexacontatetrapeton, cantitruncated hexacross  2.645751
groh 3D great rhombihexahedron  0.736813
... 3D groh+8{6/2} (?)  0.736813
grox 6D great rhombihexeract, cantitruncated hexeract  4.045239
guti 4D great tetrakisicositetrachoron  2.326846
gwav ditathi 4D great sphenoverted ditrigonary triakishecatonicosachoron  2.036148
gwavathi 4D great sphenoverted triakishecatonicosachoron  1.027486
gwavixady 4D great sphenoverted hexacosadishecatonicosachoron  0.799575
gybef, J26 3D gyrobifastigium  
gyepabro, J48 3D gyroelongated pentagonal birotunda  
gyepcu, J24 3D gyroelongated pentagonal cupola  
gyepcuro, J47 3D gyroelongated pentagonal cupolarotunda  
gyepibcu, J46 3D gyroelongated pentagonal bicupola  
gyepip, J11 3D gyroelongated pentagonal pyramid, diminished icosahedron  
gyepro, J25 3D gyroelongated pentagonal rotunda  
gyescu, J23 3D gyroelongated square bicupola  
gyesp, J10 3D gyroelongated square pyramid  
gyesqidpy, J17 3D gyroelongated square dipyramid  
gyesquibcu, J45 3D gyroelongated square bicupola  
gyetaph 3D gyroelongated triangular-prismatic honeycomb  
gyetcu, J22 3D gyroelongated triangular bicupola  
gyetibcu, J44 3D gyroelongated triangular bicupola  
gyetoh 3D gyroelongated tetrahedral-octahedral honeycomb, gyroelongated alternated cubic honeycomb  
gyrid, J72 3D gyrated rhombicosidodecahedron  2.232951
gytoh 3D gyrated tetrahedral-octahedral honeycomb, gyrated alternated cubic honeycomb  
gytoph 3D gyrated triangular prismatic honeycomb  

H
haco (old: hicco) 5D hexagon cuboctahedron duoprism  1.414214
hacube (old: hiccube) 5D hexagon cube duoprism  1.322876
haddet 4D demidistesseract, compound of 2 hex  0.707107
hadedip 4D hexagon - decagon duoprism  1.902113
hadoe 5D hexagon - dodecahedron duoprism  1.721489
hagirco (old: higgirco) 5D hexagon great-rhombicuboctahedron duoprism  2.524147
hagrid 5D hexagon - great-rhombicosidodecahedron duoprism  3.931692
hap, 6-ap 3D hexagonal antiprism  1.087664
happip, K-4.53 4D hexagonal-antiprism prism  1.197085
harjak (old: trojak) 6D demirectified icosiheptaheptacontidipeton (trirectified icosiheptaheptacontidipeton)  2.160247
hasirco (old: hissirco) 5D hexagon small-rhombicuboctahedron duoprism  1.719624
hasrid 5D hexagon - small-rhombicosidodecahedron duoprism  2.446644
hatet (old: hittet) 5D hexagon-tetrahedron duoprism  1.172604
hati 5D hexagon - truncated-icosahedron duoprism  2.672186
hatic (old: hittic) 5D hexagon truncated-cube duoprism  2.040640
hatid 5D hexagon - truncated-dodecahedron duoprism  3.133309
hatoe (old: hittoe) 5D hexagon truncated-octahedron duoprism  1.870829
hatut (old: hittut) 5D hexagon truncatet-tetrahedron duoprism  1.541104
hawmco, J89 3D hebesphenomegacorona  
hax 6D hemihexeract  0.866025
he (old: ache) 7D hexadecaexon, trirectified octaexon, equatorial cross-section of (vertex first) 1/q-octo  1
hede 10D demi-dekeract  1.118034
hejak 6D demified icosiheptaheptacontidipeton  1.632993
henne 9D demi-enneract  1.060660
hept 7D hepteract, tetradecaexon, 7D measure-polytope (γ7), geoexon  1.322876
hesa (old: hiss) 7D hemihepteract  0.935414
hex, K-4.2 4D hexadecachoron, tetracross (β4), hemitesseract, hemioctachoron, 16-cell, aerochoron, tetrahedral antiprism  0.707107
... 4D hex+8oct (?)  0.707107
hexat 2D hexagonal tiling, Voronoi complex of hexagonal lattice  
hexip 5D hexadecachoron prism  0.866025
hext 4D hexadecachoric tetracomb, demitesseractic tetracomb  
hi 4D hecatonicosachoron, 120-cell, dodecacontachoron, cosmochoron  3.702459
hid 5D hexagon icosidodecahedron duoprism  1.902113
hiddip 4D hexagonal-hexagonal duoprism  1.414214
hihiquatady 4D hecatonicosihecatonicosiquasitruncated dishecatonicosachoron  3.605551
hike 5D hexagon icosahedron duoprism  1.380039
hin 5D hemipenteract, demipenteract  0.790569
hinhi 4D hecatonicosintercepted hecatonicosachoron  2.802517
hinnip 6D hemipenteractic prism  0.935414
hinnit 4D hexadekintercepted tesseract  1.224745
hinoh 5D hemipenteractic pentacomb  
hip 3D hexagonal prism, Voronoi cell of unit-stacked hexagonal lattice  1.118034
hipe 5D hecatonicosachoron prism  3.736068
hiph 3D hexagonal prismatic honeycomb, Voronoi complex of unit-stacked hexagonal lattice  
hirki 3D hemirhombichiro-icosahedron, compound of 5 thah  0.707107
hitwadip 4D hexagon - dodecagon duoprism  2.175328
hix 5D hexateron, 5D simplex (α5), pyroteron, pentachoral pyramid, regular tet-scalene, regular triangle-tettene, regular line-pennene, regular (point-)hixene  0.645497
hixady 4D hecatonicosihexacosidishecatonicosachoron  3
hixip 6D hexateron prism  0.816497
hixquathix 4D hecatonicosihexacosaquasitruncated hecatonicosihexacosachoron  2.174739
hixquitixhi 4D hecatonicosihexacosiquasitruncated hexacosihecatonicosachoron  2.351141
hixquitphix 4D hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosachoron  2.483382
hixtaphix 4D hecatonicosihexacositruncated prismatohecatonicosihexacosachoron  7.735167
hixthix 4D hecatonicosihexacositruncated hecatonicosihexacosachoron  6.186316
hixtixhi 4D hecatonicosihexacositruncated hexacosihecatonicosachoron  3.804226
hoct 5D hexagon octahedron duoprism  1.224745
hocto 8D hemiocteract  1
hodho 4D hexadecoctidishemioctachoron  1
hodip 4D hexagon - octagon duoprism  1.645329
hoh honho 4D hexadecoctihemihexadekintercepted hemioctachoron  1
hoha 2D hexagonal hemiapeirogonal tesselation  
hohoh 4D hexadecoctihemihexadecachoron  1
hop (old: hep) 6D heptapeton, 6D simplex (α6), pyropeton, hexateral pyramid  0.654654
hopip 7D heptapeton prism  0.823754
hossdap 4D hollow small stellated dodecahedral antiprism, pseudo sissid atop pseudo sissid  0.754386
hot thibbit 4D hexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
huhoh 4D hexadecahemihexadecachoron  1

I
ico 4D icositetrachoron, 24-cell, xylochoron, rectified hexadecachoron, birectified tesseract  1
... 4D ico+gico+72{4} (?)  1
... 4D ico+gico+24co (?)  1
icope 5D icositetrachoron prism  1.118034
icot 4D icositetrachoric tetracomb, Voronoi complex of body-centered tesseractic (bct) lattice  
icoy 9D icosayotton, quadrirectified decayotton, equatorial cross-section of (vertex first) 1/q-deker  1.118034
id 3D icosidodecahedron  1.618034
... 3D id+seihid+sidhid (?)  1.618034
... 4D bistratic icosidodecahedron-first cap of rectified hecatonicosachoron  4.534568
... 4D icosiena-diminished vertex-first-rotunda of ex  1.618034
... 4D tristratic icosidodecahedron-first cap of small rhombihexacosachoron  6.073594
iddei 3D icosidisicosahedron, compound of 5 oho  1
iddip, K-4.90 4D icosidodecahedron prism  1.693527
iddoe 6D icosidodecahedron-dodecahedron duoprism  2.140458
ided 3D icosidodecadodecahedron  1.322876
idhi 4D invertidodecahedronary hecatonicosachoron  1
ididdip 4D icosidodecadodecahedron prism  1
idisdid 3D invertidisnub dodecadodecahedron, compound of 2 isdid  
idodip 6D icosidodecahedron-icosidodecahedron duoprism  2.288246
idprix 5D icositetra-diminished prismatorhombated hexacosachoron  9.744610
idsid pixhi 5D icositetra-diminished small disprismatohexacosihecatonicosachoron  5.236068
idsrix 5D icositetra-diminished small rhombated hexacosachoron  6.073594
idtid 3D icosidodecatruncated icosidodecahedron, icositruncated dodecadodecahedron  2
idtiddip 4D icosidodecatruncated-icosidodecahedron prism, icositruncated-dodecadodecahedron prism  2.061553
ihi 4D icositetrahemiicositetrachoron  1
ike   (alt.: snit) 3D icosahedron, snub tetrahedron, snub tetratetrahedron, hydrohedron  0.951057
... 3D ike+3gad (?)  0.951057
... 4D bistratic icosahedron-first cap of truncated hexacosachoron  4.643523
ikedip 6D icosahedron-icosahedron duoprism  1.344997
ikedoe 6D icosahedron-dodecahedron duoprism  1.693527
ikedpy 4D icosahedral dipyramid  
ikepy, K-4.84 4D icosahedral pyramid, vertex cap of hexacosachoron  1.618034
ikid 6D icosahedron-icosidodecahedron duoprism  1.876844
ini 4D icositetrintercepted icositetrachoron  1.732051
inpac 4D icositetraintercepted prismatotetracontaoctachoron  1.847759
... 4D inpac+72{4} (?)  1.847759
ipe, K-4.36 4D icosahedron prism  1.074481
ipixady 4D invertopental hexacosadishecatonicosachoron  3.077684
iquatoc 4D icositetraquasitruncated tetracontoctachoron  2
iquatpic 4D icositetraquasitruncated prismatotetracontoctachoron  2.828427
isdid 3D inverted snub dodecadodecahedron, vertisnub dodecadodecahedron, nyarlathotep  
isdiddip 4D inverted-snub-dodecadodecahedron prism  

J
jak 6D icosiheptaheptacontidipeton, Gosset polypeton 21,2  0.816497
jakip 7D icosihepta-heptacontidi-peton prism  0.957427

K
ka 10D chilliaicositetraxennon, decacross (β10), aeroxennon, decayottal antiprism  0.707107
ki 3D chiro-icosahedron, compound of 5 tet  0.612372
kred (old: red) 3D chiro-rhombidodecahedron, compound of 6 pip  0.986715
kri 3D chirorhombicosahedron, compound of 10 trip  0.763763

L
laq 7D pentacontihexapentacosiheptacontihexaexon, Gosset polyexon 21,3  1
lifpipixhi 4D polar facetopental prismatohexacosahecatonicosachoron  3.077684
lin 7D pentacontihexahecatonicosihexaexon, Gosset polyexon 12,3  1.322876

M
mabaud, J60 3D metabiaugmented dodecahedron  
mabauhip, J56 3D metabiaugmented hexagonal prism  
mabautid, J70 3D metabiaugmented truncated dodecahedron  
mabgyrid, J74 3D metabigyrated rhombicosidodecahedron  2.232951
mabidrid, J81 3D metabidiminished rhombicosidodecahedron  2.232951
mardatathi 4D medial retroditetrahedral triakishecatonicosachoron  1.414214
mibdi, J62 3D metabidiminished icosahedron  0.951057
middit thix 4D medial ditrigonal trishecatonicosihexacosachoron  1.732051
mif pixady 4D circumfacetopental hexacosadishecatonicosachoron  4.534568
mipthi 4D medial prismatotriakishecatonicosachoron  3.199386
mix 4D medial hexacosachoron, mete-star, compound of 120 pen  0.632456
mo 6D pentacontitetrapeton, Gosset polypeton 12,2  1
mohiny 4D medial hecatonicosintercepted hecatonicosachoron  1.070466
mrawv hixhi 4D medial retrosphenoverted hecatonicosihexacosihecatonicosachoron  3.963358
mriphi 4D medial retropental hecatonicosachoron  1.902113

N
n,co-dip 5D n-gon - cuboctahedron duoprism sqrt[1+1/(4 sin2(π/n))]
n,co-dippip 6D n-gon - cuboctahedron duoprismatic prism  
n,cube-dip 5D n-gon - cube duoprism sqrt[3/4+1/(4 sin2(π/n))]
n,doe-dip 5D n-gon - dodecahedron duoprism sqrt[(9+3 sqrt(5))/8+1/(4 sin2(π/n))]
n,doe-dippip 6D n-gon - dodecahedron duoprismatic prism  
n,ex-dip 6D n-gon - hexacosachoron duoprism  
n,girco-dip 5D n-gon - great-rhombicuboctahedron duoprism sqrt[(13+6 sqrt(2))/4+1/(4 sin2(π/n))]
n,grid-dip 5D n-gon - great-rhombicosidodecahedron duoprism sqrt[(31+12 sqrt(5))/4+1/(4 sin2(π/n))]
n,hex-dip 6D n-gon - hexadecachoron duoprism  
n,hi-dip 6D n-gon - hecatonicosachoron duoprism  
n,hix-dip 7D n-gon - hexateron duoprism sqrt[5/12 + 1/(2 sin(π/n))2]
n,ico-dip 6D n-gon - icositetrachoron duoprism  
n,id-dip 5D n-gon - icosidodecahedron duoprism sqrt[(3+sqrt(5))/2+1/(4 sin2(π/n))]
n,id-dippip 6D n-gon - icosidodecahedron duoprismatic prism  
n,ike-dip 5D n-gon - icosahedron duoprism sqrt[(5+sqrt(5))/8+1/(4 sin2(π/n))]
n,ike-dippip 6D n-gon - icosahedron duoprismatic prism  
n,k-dippip 5D n-gon - k-gon duoprismatic prism sqrt[1/4+1/(4 sin2(π/n))+1/(4 sin2(π/k))]
n,m,k-tip 6D n-gon - m-gon - k-gon - triprism sqrt[1/(4 sin2(π/n))+1/(4 sin2(π/m))+1/(4 sin2(π/k))]
n,m-dip 4D n-gon - m-gon duoprism sqrt[1/(4 sin2(π/n))+1/(4 sin2(π/m))]
n,n,k-tip 6D n-gon - n-gon - k-gon - triprism sqrt[1/(2 sin2(π/n))+1/(4 sin2(π/k))]
n,n,n,n-quip 8D n-gon - n-gon - n-gon - n-gon - tetraprism (or: -quadprism) sqrt[1/sin2(π/n)]
n,n,n-tip 6D n-gon - n-gon - n-gon - triprism sqrt[3/(4 sin2(π/n))]
n,n,n-tippip 7D n-gon - n-gon - n-gon - triprismatic prism sqrt[1/4+3/(4 sin2(π/n))]
n,n-dip 4D n-gon - n-gon duoprism 1/(sqrt(2)*sin(π/n))
n,n-dippip 5D n-gon - n-gon duoprismatic prism sqrt[1/4+1/(2 sin2(π/n))]
n,oct-dip 5D n-gon - octahedron duoprism sqrt[1/2+1/(4 sin2(π/n))]
n,oct-dippip 6D n-gon - octahedron duoprismatic prism  
n,pen-dip 6D n-gon - pentachoron duoprism  
n,rahi-dip 6D n-gon - rectified-hecatonicosachoron duoprism  
n,rap-dip 6D n-gon - rectified-pentachoron duoprism  
n,rico-dip 6D n-gon - rectified-icositetrachoron duoprism  
n,rit-dip 6D n-gon - rectified-tesseract duoprism  
n,rox-dip 6D n-gon - rectified-hexacosachoron duoprism  
n,sirco-dip 5D n-gon small-rhombicuboctahedron duoprism sqrt[(5+2 sqrt(2))/4+1/(4 sin2(π/n))]
n,srid-dip 5D n-gon - small-rhombicosidodecahedron duoprism sqrt[sqrt(5)+11/4+1/(4 sin2(π/n))]
n,tes-dip 6D n-gon - tesseract duoprism  
n,tet-dip 5D n-gon - tetrahedron duoprism sqrt[3/8+1/(4 sin2(π/n))]
n,tet-dippip 6D n-gon - tetrahedron duoprismatic prism  
n,tic-dip 5D n-gon - truncated-cube duoprism sqrt[sqrt(2)+7/4+1/(4 sin2(π/n))]
n,tid-dip 5D n-gon - truncated-dodecahedron duoprism sqrt[(37+15 sqrt(5))/8+1/(4 sin2(π/n))]
n,ti-dip 5D n-gon - truncated-icosahedron duoprism sqrt[(29+9 sqrt(5))/8+1/(4 sin2(π/n))]
n,toe-dip 5D n-gon truncated-octahedron duoprism sqrt[5/2+1/(4 sin2(π/n))]
n,tut-dip 5D n-gon - truncated-tetrahedron duoprism sqrt[11/8+1/(4 sin2(π/n))]
n/2-ap 3D n/2 antiprism sqrt[(3–2 cos(2π/n))/(8–8 cos(2π/n))]
n/d,m/b-dip 4D n/d-gram - m/b-gram duoprism sqrt[1/(4 sin2(π d/n))+1/(4 sin2(π b/m))]
n/d-ap 3D 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-appip 4D n/d-antiprism prism sqrt[(5-4 cos(π d/n))/(8–8 cos(π d/n))]
n/d-cu 3D n/d-gonal cupola  
n/d-p 3D n/d-prism, n-prism with winding number d sqrt[1/4+1/(4 sin2(π d/n))]
n/d-py 3D n/d-gonal pyramid 1/sqrt[4-1/sin^2(πd/n)]
n/d-pyp 4D n/d-pyramidal prism, line || n/d-prism sqrt[1/4+1/(4-1/sin^2[π d/n])]
... 4D 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-ap 3D n-gonal antiprism sqrt[(3–2 cos(π/n))/(8–8 cos(π/n))]
n-appip, K-4.176 4D n-antiprism prism sqrt[(5-4 cos(π/n))/(8–8 cos(π/n))]
naq 7D hecatonicosihexapentacosiheptacontihexaexon, Gosset polyexon 31,2  0.866025
n-azedip 3D n-gonal - apeirogonal duoprism  
n-cu || inv gyro n-cu 4D n-cupola atop inverted gyrated n-cupola  
nipixady 4D intercepted invertopental hexacosadishecatonicosachoron  3.077684
nit 5D penteractitriacontiditeron, birectified penteract, birectified triacontiditeron, birectified pentacross  1.224745
nitip 6D penteractitriacontiditeron prism  1.322876
n-p 3D n-gonal prism sqrt[1/4+1/(4 sin2(π/n))]
n-pyap 4D n-pyramidal antiprism,  

O
... 4D hyperbolic order 3 hecatonicosachoric tesselation  
... 4D o3o3β4o (?) ...
... 4D o3o3β4x (?) ...
... 4D o3o3β5o (?) ...
... 4D o3o3β5x (?) ...
... 2D hyperbolic tetrapentagonal tiling of family o3o4o5*a  
... 2D hyperbolic order 3 heptagonal tiling  
... 2D hyperbolic order 3 tritetragonal tiling  
... 2D hyperbolic order 3 octagonal tiling  
... 2D hyperbolic order 3 horocyclic tiling, hyperbolic order ∞ truncated horocyclic tiling  
... 3D o3q4x, variation of truncated cube  2.179449
... 4D o3β3o4β (?) ...
... 4D o3β3o5β (?) ...
... 4D o3β3β3o (?) ...
... 4D o3β3β4o (?) ...
... 4D o3β3β4β (?) ...
... 4D o3β3β5o (?) ...
... 4D o3β3β5β (?) ...
... 4D o3β3x3o (?) ...
... 4D o3β3x4o (?) ...
... 4D o3β3x4β (?) ...
... 4D o3β3x4x (?) ...
... 4D o3β3x5o (?) ...
... 4D o3β3x5β (?) ...
... 4D o3β3x5x (?) ...
... 3D o3β4o (?) ...
... 4D o3β4o3o (?) ...
... 4D o3β4β3o (?) ...
... 3D o3β4x (?) ...
... 4D o3β4x3o (?) ...
... 3D o3β5o (?) ...
... 3D o3β5x (?) ...
... 4D o3x3β4o (?) ...
... 4D o3x3β5o (?) ...
... 3D hyperbolic o3x3x3o4*a tesselation  
... 3D hyperbolic o3x3x3o5*a tesselation  
... 2D hyperbolic tritetragonal tiling of family o3o4o5*a  
... 3D o3x4q, variation of truncated cube, hull of sno  2.121320
... 3D o3x4u, variation of truncated cube  2.613126
... 3D hyperbolic o3x4x3o4*a tesselation  
... 3D hyperbolic o3x4x3o5*a tesselation  
... 2D hyperbolic ditetragonal tiling of family o3o4o5*a  
... 3D hyperbolic rectified order 3 icosahedral tesselation  
... 3D hyperbolic bitruncated order 3 icosahedral tesselation  
... 3D hyperbolic o3x5x3o5*a tesselation  
... 2D hyperbolic triheptagonal tiling  
... 2D hyperbolic order 3 truncated heptagonal tiling  
... 2D hyperbolic trioctagonal tiling  
... 2D hyperbolic order 3 truncated octagonal tiling  
... 2D hyperbolic trigonal-horocyclic tiling  
... 2D hyperbolic order 3 truncated horocyclic tiling  
... 4D hyperbolic order 4 hecatonicosachoric tesselation  
... 3D hyperbolic order 4 dodecahedral tesselation  
... 3D hyperbolic rectified order 4 dodecahedral tesselation  
... 3D hyperbolic truncated order 4 dodecahedral tesselation  
... 2D hyperbolic order 4 pentagonal tiling  
... 3D hyperbolic rectified order 5 cubic tesselation  
... 3D hyperbolic rhombated order 4 dodecahedral tesselation, hyperbolic cantelated order 4 dodecahedral tesselation  
... 3D hyperbolic bitruncated order 5 cubic tesselation  
... 3D hyperbolic great rhombated order 5 cubic tesselation, hyperbolic cantitruncated order 5 cubic tesselation  
... 2D hyperbolic tetrapentagonal tiling  
... 2D hyperbolic order 4 truncated pentagonal tiling  
... 2D hyperbolic tetragonal-horocyclic tiling  
... 2D hyperbolic order 4 truncated horocyclic tiling  
... 3D o5/2β5o (?) ...
... 3D o5/2β5x (?) ...
... 3D hyperbolic rectified order 5 dodecahedral tesselation  
... 3D hyperbolic bitruncated order 5 dodecahedral tesselation  
oap, 8-ap 3D octagonal antiprism  1.375549
oappip, K-4.65 4D octagonal-antiprism prism  1.463603
... 4D omni-augmented (5,20)-duoprism  
oca (old: oc) 7D octaexon, 7D simplex (α7), pyroexon, heptapetal pyramid  0.661438
oco (old: occo) 5D octagon cuboctahedron duoprism  1.645329
ocpe 8D octaexon prism  0.829156
oct 3D octahedron, rectified tetrahedron, tricross (β3), tetratetrahedron, aerohedron, trigonal antiprism, larger Delone cell of face-centered cubic (fcc) lattice, equatorial cross-section of (vertex first) 1/q-tes  0.707107
... 3D oct+6{4} (?)  0.707107
... 4D ofx3xoo3ooo&#xt, vertex figure of sadit  
... 5D bidiminished hemipenteract, oct || hex, tet || rap  0.790569
octco 6D octahedron-cuboctahedron duoprism  1.224745
octcube 6D octahedron-cube duoprism  1.118034
octdip 6D octahedron-octahedron duoprism  1
octdoe 6D octahedron-dodecahedron duoprism  1.569562
octet 3D alternated cubic honeycomb, tetrahedral-octahedral honeycomb, Delone complex of face-centered cubic (fcc) lattice  
octico 7D octahedron - icositetrachoron duoprism  1.224745
octid 6D octahedron-icosidodecahedron duoprism  1.765796
octike 6D octahedron-icosahedron duoprism  1.185120
octo 8D octeract, hexadecazetton, 8D measure-polytope (γ8), geozetton  1.414214
octpen 7D octahedron - pentachoron duoprism  0.948683
octpy, K-4.3 4D octahedral pyramid, half of hex (its vertex-first rotunda)  0.707107
octrap 7D octahedron - rectified-pentachoron duoprism  1.048809
ocube 5D octagon - cube duoprism  1.567516
odedip 4D octagon-decagon duoprism  2.079697
odho 4D octidishemioctachoron  1
odip 4D octagon-octagon duoprism  1.847759
odoe 5D octagon - dodecahedron duoprism  1.915889
odop 4D octagonal diorthoprism, compound of 2 sodip  1.485633
ofiddady 4D omnifacetododecahedronary dishecatonicosachoron  1
ofpipixhi 4D omnifacetopental prismatohexacosahecatonicosachoron  0.726543
ogirco 5D octagon - great-rhombicuboctahedron duoprism  2.660531
ogrid 5D octagon - great-rhombicosidodecahedron duoprism  4.020611
oh 4D octihemihexadecachoron  1
oho 3D octahemioctahedron, allelotetratetrahedron  1
... 3D oho+8{3}  1
ohope 4D octahemioctahedron prism  1.118034
ohuhoh 4D octihexadecahemihexadecachoron  1
oid 5D octagon-icosidodecahedron duoprism  2.079697
oike 5D octagon-icosahedron duoprism  1.453140
... 2D hyperbolic order 4 horocyclic tiling  
omfapaxady 4D omnicircumfacetopental hexacosadishecatonicosachoron  0.726543
ondip 4D octagonal spinoduoprism  1.485633
op 3D octagonal prism, bidiminished small rhombicuboctahedron  1.398966
ope, K-4.11 4D octahedron prism  0.866025
osirco 5D octagon small-rhombicuboctahedron duoprism  1.914214
osrid 5D octagon - small-rhombicosidodecahedron duoprism  2.587117
ostodip 4D octagon-octagram duoprism  1.414214
otathaph 3D omnitruncated triangular-hexagonal prismatic honeycomb  
otathisbit 4D omnitruncated-trihexagonal-square duoprismatic tetracomb  
otbaquitit 4D octagonnally tetrablended quasitruncated tesseract  0.615370
otbott 4D octagonnally tetrablended truncated tesseract  2.149726
otch 3D omnitruncated cubic honeycomb  
otcypit 4D omnitruncated cyclopentachoric tetracomb, great-prismatodecachoric tetracomb, Voronoi complex of lattice A4*  
otet 5D octagon-tetrahedron duoprism  1.442951
othat 2D omnitruncated trihexagonal tiling, great rhombitrihexagonal tiling  
oti 5D octagon - truncated-icosahedron duoprism  2.801372
otic (old: ottic) 5D octagon - truncated-cube duoprism  2.207107
otid 5D octagon - truncated-dodecahedron duoprism  3.244185
otoe (old: otto) 5D octagon truncated-octahedron duoprism  2.051123
otut 5D octagon - truncated-tetrahedron duoprism  1.755593
otwadip 4D octagon - dodecagon duoprism  2.332200
owau prit 4D octa-augmented prismatorhombated tesseract  
owoct 5D octagon octahedron duoprism  1.485633

P
pabaud, J59 3D parabiaugmented dodecahedron  
pabauhip, J55 3D parabiaugmented hexagonal prism  
pabautid, J69 3D parabiaugmented truncated dodecahedron  
pabdirico 4D parabidiminished rectified icosatetrachoron, bistratic co-first central segment of rico  1.732051
pabgyrid, J73 3D parabigyrated rhombicosidodecahedron  2.232951
pabidrid, J80 3D parabidiminished rhombicosidodecahedron  2.232951
padedip 4D pentagon - decagon duoprism  1.828016
padiap 4D prismatic double inverted antiprism, pentagrammic double antiprismoid  0.618034
padohi 4D prismatodishecatonicosachoron  2.497212
pagydrid, J77 3D paragyrate diminished rhombicosidodecahedron  2.232951
pap 3D pentagonal antiprism, para-bidiminished icosahedron  0.951057
paphacki 4D pentagon-prismatic heptacosicosachoron, great prismasaurus  1
paphicki 4D pentagram-prismatic heptacosicosachoron, small prismasaurus  1
pappip, K-4.39 4D pentagonal-antiprism prism  1.074481
pappy 4D pentagon-antiprismatical pyramid  1.618034
papvixhi 4D pentagonal prismatoverted hexacosahecatonicosachoron  1.902113
paqraghi 4D prismatoquasirhombated grand hecatonicosachoron  3.199386
paqri 4D prismatoquasirhombated icositetrachoron  1.938391
paqrigafix (old: paquerfix) 4D prismatoquasirhombated great facetted hexacosachoron  1.878261
paqrigagishi (old: paqrahi) 4D prismatoquasirhombated great grand stellated hecatonicosachoron  1.207883
paqrit 4D prismatoquasirhombated tesseract  1.174172
passipsi 3D pseudosnub pentagrammattic snub (pseudo)icosiicosahedron, compound of 5 sissid  0.587785
passipsido 3D pseudosnub pentagrammatic snub (pseudo)disoctahedron, compound of 2 sissid  0.587785
patal 6D prismatotruncated heptapeton, runcitruncated heptapeton  2
pattin 5D prismatotruncated penteract, runcitruncated penteract  3.239235
pattit 5D prismatotruncated triacontiditeron, runcitruncated pentacross  2.738613
pattix 5D prismatotruncated hexateron, runcitruncated hexateron  1.848423
pd{3,5,3} 3D partial diminishing (old: truncation) of hyperbolic order 3 icosahedral tesselation  
peco 5D pentagon-cuboctahedron duoprism  1.312862
pecu, J5 3D pentagonal cupola  2.232951
pecube 5D pentagon-cube duoprism  1.213922
pedip 4D pentagon-pentagon duoprism  1.203002
pedoe 5D pentagon-dodecahedron duoprism  1.639247
pedpy, J13 3D pentagonal dipyramid  
pegybcu, J31 3D pentagonal gyrobicupola  
pegycuro, J33 3D pentagonal gyrocupolarotunda  
pen, K-4.1 4D pentachoron, 4D simplex (α4), 5-cell, pyrochoron, tetrahedral pyramid, triangle-pyramidal pyramid, regular triangle-scalene, regular line-tettene, regular (point-)pennene, 3 tet rosette  0.632456
pendip 8D pentachoron duoprism  1.054093
pendpy 5D pentachoral dipyramid  
penp 5D pentachoron prism  0.806226
pent 5D penteract, decateron, 5D measure-polytope (γ5), geoteron  1.118034
penth 5D penteractic pentacomb, 5D hypercubical honeycomb (δ5)  
peppy, 5pyr, J2 3D pentagonal pyramid  0.951057
peppyp, K-4.38 4D pentagon-pyramidal prism, J2 prism, line || pip  1.074481
peppypy, 5pyr-pyr, K-4.86 4D pentagon-pyramidal pyramid, pentagon-scalene, 5 tet rosette  1.618034
pero, J6 3D pentagonal rotunda, half of icosidodecahedron  1.618034
petet 5D pentagon-tetrahedron duoprism  1.048144
phiddip 4D pentagon hexagon duoprism  1.312862
pid 5D pentagon - icosidodecahedron duoprism  1.828016
pike 5D pentagon-icosahedron duoprism  1.275976
pinnip 4D prismatointercepted pentachoron  0.774597
... 4D pinnip+5 2thah (?)  0.774597
pinnipdip 4D pentaintercepted prismatodispentachoron, prismatopentaintercepted dispentachoron  1.183216
... 4D pinnipdip+15{4} (?)  1.183216
pinpith 4D prismatointercepted prismatotesseractihexadecachoron  1.847759
... 4D pinpith+48{4}  1.847759
pinpixhi 4D prismatointercepted prismatohexacontahecatonicosachoron  6.735034
... 4D pinpixhi+1800{4} (?)  6.735034
pip 3D pentagonal prism, 5-p, vertex figure of rox  0.986715
piphid 4D prismatopentahemidecachoron  1
... 4D piphid+10tet (?)  1
pippy, K-4.141 4D pentagonal-prismatic pyramid, vertex pyramid of the rectified hexacosachoron  3.077684
pirgaghi 4D prismatorhombated great grand hecatonicosachoron  1.893038
pirghi 4D prismatorhombated great hecatonicosachoron  4.917351
pirhin 5D prismatorhombated hemipenteract, runcicantellated demipenteract  2.150581
pirpop 4D pseudorhombated prismatopentachoron  1.183216
... 4D pirpop+5 2thah (?)  1.183216
pirshi 4D prismatorhombated (small) stellated hecatonicosachoron  5.515107
pirt 5D prismatorhombated triacontiditeron, runcicantellated pentacross  3
pirx 5D prismatorhombated hexateron, runcicantellated hexateron  1.914854
pistadedip 4D pentagon - decagram duoprism  1.051462
pistodip 4D pentagon - octagram duoprism  1.008216
pithin 5D prismatotruncated hemipenteract, runcitruncated demipenteract  2.371708
pittip 4D prismatotriakispentachoron  1.612452
pobcu, J30 3D pentagonal orthobicupola  
pobro, J34 3D pentagonal orthobirotunda  1.618034
poct 5D pentagon - octahedron duoprism  1.106168
pocuro, J32 3D pentagonal orthocupolarotunda  
podip 4D pentagon - octagon duoprism  1.559075
potag 6D prismatotruncated hexacontatetrapeton, runcitruncated hexacross  2.738613
prahi 4D prismatorhombated hecatonicosachoron, runcitruncated hexacosachoron  8.278950
prahip (old: prahipe) 5D prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism  8.294035
prap vixhi 4D pentagonal retroprismatoverted hexacosahecatonicosachoron  1.175571
prarsi 4D prismatorhombiretrosnub icositetrachoron  1.328131
presipsi 3D pseudoretrosnub pentagonal snub (pseudo)icosiicosahedron, compound of 5 gad  0.951057
presipsido 3D pseudoretrosnub pentagonal snub (pseudo)disoctahedron, compound of 2 gad  0.951057
prich 3D prismatorhombated cubic honeycomb, runcitruncated cubic honeycomb  
prico 4D prismatorhombated icositetrachoron, runcitruncated icositetrachoron  3.498949
pricope (old: pripe) 5D prismatorhombated-icositetrachoron prism, runcitruncated-icositetrachoron prism  3.534493
pril 6D prismatorhombated heptapeton, runcicantellated heptapeton  2.104417
prin 5D prismatorhombated penteract, runcicantellated penteract  3.047217
prip 4D prismatorhombated pentachoron, runcitruncated pentachoron  1.612452
prippip 5D prismatorhombated-pentachoron prism  1.688194
prissi 4D prismatorhombisnub icositetrachoron, prismato-semistruncated icositetrachoron  2.497212
prit 4D prismatorhombated tesseract, prismatotruncated hexadecachoron, runcitruncated hexadecachoron  2.370932
prittip 5D prismatorhombated-tesseract prism, prismatotruncated-hexadecachoron prism, runcitruncated-hexadecachoron prism, central segment of cappin  2.423081
prix 4D prismatorhombated hexacosichoron, runcitruncated hecatonicosachoron  9.744610
prog 6D prismatorhombated hexacontatetrapeton, runcicantellated hexacross  3
proh 4D prismatorhombated hexadecachoron, prismatotruncated tesseract, runcitruncated tesseract  2.613126
prohp 5D prismatorhombated-hexadecachoron prism, prismatotruncated-tesseract prism, runcitruncated-tesseract prism, central segment of carnit  2.660531
... 4D dodeca-diminished vertex-first rotunda of hexacosachoron  1.618034
... 4D n-prism pyramid, general vertex pyramid of o-3-x-3-o-n-o 1/sqrt[3 - 1/sin2(π/n)]

Q
... 3D q x3o, variation of triangular prism, vertex figure of rectified tesseract  0.912871
... 4D q x3o3o, variation of tetrahedron prism, vertex figure of rectified penteract  0.935414
... 5D q x3o3o3o, variation of pentachoron prism, vertex figure of rectified hexeract  0.948683
... 3D q x4o, variation of cube, vertex figure of rectified cubic honeycomb  1
... 3D q x5o, variation of pentagonal prism  1.106168
... 3D q x8o, variation of octagonal prism  1.485633
... 3D q3o3x, variation of cuboctahedron  1.215958
... 3D q3o4x, variation of small rhombicuboctahedron, hull of tisso  1.658312
... 3D q3o5x, variation of srid  2.601518
... 3D q3x4x, variation of girco, hull of quitco  1.062393
qraghi 4D quasirhombated grand hecatonicosachoron  1.662508
qrahi 4D quasirhombated hecatonicosachoron  0.799575
qrico 4D quasirhombated icositetrachoron  1.082392
qrid 3D quasi rhombicosidodecahedron, great rhombicosidodecahedron (but not grid)  0.716891
qriddip 4D quasi-rhombicosidodecahedron prism  0.874032
qrit 4D quasirhombated tesseract  0.765367
quad pagaxhi 4D quasidisprismatogrand hexacosihecatonicosachoron  0.874032
quadippady 4D quasidisprismatodishecatonicosachoron, Unholey Terror  1.414214
quawros 4D quadratic ({8} || cube-)wedge rosette, bridge cyclotetraaugmented tesseract, ring-augmented tesseract, cube || {8} || cube, {4} || squobcu || {4}  
querco 3D quasirhombicuboctahedron, great rhombicuboctahedron (but not girco)  0.736813
quercope 4D quasirhombicuboctahedron prism  0.890446
querfix 4D quasirhombated faceted hexacosachoron  1.027486
quidpith (old: qippith) 4D quasi(dis)prismatotesseractihexadecachoron  0.890446
quidpixhi 4D quasidisprismatohexacosihecatonicosachoron  0.763932
quipdohi 4D quasiprismatodishecatonicosachoron  1.328131
quiphi 4D quasiprismatohecatonicosachoron  0.726543
quippic 4D quasiprismatotetracontoctachoron  0.765367
quippirfix 4D quasiprismatorhombated faceted hexacosachoron  3.531591
quippirgashi 4D quasiprismatorhombated grand stellated hecatonicosachoron  1.348948
quippirgax 4D quasiprismatorhombated grand hexacosachoron  1.021064
quippirghi 4D quasiprismatorhombated grand hecatonicosachoron  2.400819
quiproh 4D quasiprismatorhombated hexadecachoron  1.082392
quit gashi 4D quasitruncated grand stellated hecatonicosachoron  0.953850
quit gishi 4D quasitruncated great stellated hecatonicosachoron  0.953850
quit gissid 3D quasitruncated great stellated dodecahedron, great stellated truncated dodecahedron, great stellatruncated dodecahedron  0.657550
quit gissiddip 4D quasitruncated-great-stellated-dodecahedron prism  0.826058
quit gogishi 4D quasitruncated great grand stellated hecatonicosachoron  0.677481
quit sishi 4D quasitruncated small stellated hecatonicosachoron  2
quit sissid 3D quasitruncated small stellated dodecahedron, small stellated truncated dodecahedron, small stellatruncated dodecahedron  0.852911
quitar (old: quahri) 3D quasitruncated rhombihedron, quasihyperhombicosicosahedron, compound of 5 quith  0.579471
quitco 3D quasitruncated cuboctahedron, great truncated cuboctahedron, stellatruncated cuboctahedron  1.062393
quitcope 4D quasitruncated-cuboctahedron prism  1.174172
quitdid 3D quasitruncated dodecadodecahedron, stellatruncated dodecadodecahedron  1.658312
quitdiddip 4D quasitruncated-dodecadodecahedron prism  1.732051
quith 3D quasitruncated hexahedron, stellated truncated hexahedron, stellatruncated cube  0.579471
quithip 4D quasitruncated-hexahedron prism  0.765367
quitit 4D quasitruncated tesseract  0.615370
quitsissiddip 4D quasitruncated-small-stellated-dodecahedron prism, small-stellated-truncated-dodecahedron prism  0.988665

R
rad (old: rhode) 3D rhombic dodecahedron, Voronoi cell of face-centered cubic (fcc) lattice  
radatathi 4D retroditetrahedronary dishecatonicosachoron  1.414214
raded 3D rhombidodecadodecahedron  1.322876
radiddip (old: radedip) 4D rhombidodecadodecahedron prism  1.414214
rafficdi 4D retrofrustic tetracontoctadisicositetrachoron  1.414214
raffixthi 4D retrofrustic hexacositrishecatonicosachoron  2.236068
rag (old: ric) 6D rectified hexacontitetrapeton  1
ragaghi 4D rectified great grand hecatonicosachoron  1.070466
ragashi 4D rectified grand stellated hecatonicosachoron  1.175571
raggix 4D rectified grand hexacosachoron  0.726543
raghi 4D rectified grand hecatonicosachoron  1.902113
ragishi 4D rectified great stellated hecatonicosachoron  1.175571
rah 3D rhombihexahedron, compound of 3 cube  0.866025
rahi 4D rectified hecatonicosachoron  4.534568
rahipe 5D rectified-hecatonicosachoron prism  4.562051
rahrie 3D rhombihyperhombicosicosahedron, compound of 5 socco  1.398966
rake 10D rectified chilliaicositetraxennon  1
ram 6D rectified pentacontitetrapeton  1.732051
ranq 7D rectified hecatonicosihexapentacosiheptacontihexaexon  3.278719
rap (old: rip), K-4.5 4D rectified pentachoron, tetrahedral cupola  0.774597
rappip 5D rectified-pentachoron prism  0.921954
rapsady 4D retroantiprismatosnub dishecatonicosachoron ...
raquahri 3D rhombiquasihyperhombicosicosahedron, compound of 5 gocco  0.736813
rasa (old: ras) 7D rectified hepteract  1.732051
rasher 3D rhombisnub hyperhombihedron, compound of 5 sroh  1.398966
rasishi 4D rectified small stellated hecatonicosachoron  2.802517
rasquahr 3D rhombisnub quasihyperrhombihedron, compound of 5 groh  0.736813
rasseri 3D rhombisnub rhombicosicoahedron, compound of 5 sirco  1.398966
rassid 3D rhombisnub dodecahedron, compound of 6 dip  1.693527
rat 5D rectified triacontiditeron, rectified pentacross  1
ratho 4D rectified tesseractihemioctachoron  1
rathotathibit 4D rhombitrihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
ratip 6D rectified-triacontiditeron prism  1.118034
ratoh 3D runcinated alternated cubic honeycomb, runcinated tetrahedral-octahedral honeycomb  
ratricu 3D retrograde trigonal cupola, 3/2-cupola  0.707107
rawn (old: rawvanant) 5D retrosphenary penteract  2.207107
rawvathi 4D retrosphenoverted triakishecatonicosachoron  2.689994
rawvatoth 4D retrosphenoverted tesseractitesseractihexadacachoron  1.847759
rawvaty 4D retrosphenoverted triakisicositetrachoron  2.613126
rawvhiddix 4D retrosphenoverted hecatonicosadishexacosachoron  1.258409
rawvhitto 4D retrosphenoverted hexadecatesseractioctachoron  1.732051
rawvid tixady 4D retrosphenoverted ditrigonary hexacosadishecatonicosachoron  5.330704
rawvtip 4D retrosphenoverted triakispentachoron  1.183216
rax 6D rectified hexeract, rectified dodecapeton  1.581139
recarnit 5D retrocellirhombated penteractitriacontaditeron  2.660531
recto 8D rectified octeract, rectified hexadecazetton  1.224745
reday 9D rectified decayotton  0.894427
rek 8D rectified diacosipentacontahexazetton  1
ren 9D rectified enneract, rectified octadecayotton  2
rene 8D rectified enneazetton  0.881917
rez (old: rhio) 7D rectified hecatonicosoctaexon  1
rhom 3D rhombihedron, compound of 5 cube  0.866025
rhote (old: rattic) 3D rhombic triacontahedron  
ri 3D rhombicosahedron  1.322876
... 3D ri+12{10/2} (?)  1.322876
... 3D ri+12{10/4} (?)  1.322876
rich 3D rectified cubic honeycomb  
rico 4D rectified icosatetrachoron, cantellated hexadecachoron  1.732051
ricope 5D rectified-icositetrachoron prism  1.802776
ricot 4D rectified icositetrachoric tetracomb  
ridatathi 4D retroinverted ditetrahedral triakishecatonicosachoron  1.414214
ridtidohi 4D rectified ditrigonal dishecatonicosachoron  1.732051
riffy 8D rectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t1(41,2)  1.732051
rigfix 4D rectified great faceted hexacosichoron  0.726543
riggidtixhi 4D rectified great ditrigonal hexacosihecatonicosachoron  1.732051
righi 4D rectified great hecatonicosachoron  1.902113
rigogishi 4D rectified great grand stellated hecatonicosachoron  0.661585
ril (old: riss) 6D rectified heptapeton  0.845154
rillip 7D rectified-heptapeton prism  0.981981
rin 5D rectified penteract  1.414214
rinnip 6D rectified-penteract prism  1.500000
rinoh 5D rectified penteractic pentacomb  
ripahi 4D retroinverted prismatohecatonicosachoron  4.534568
... 4D ripahi+600 2thah (?)  4.534568
risdoh 3D rhombisnub dishexahedron, compound of 6 cube, Skilling's compound  0.866025
rissidtixhi 4D rectified small ditrigonal hexacosihecatonicosachoron  1.732051
rit 4D rectified tesseract, rectified octachoron, birectified hexadecachoron  1.224745
rithsithbit 4D rhombitrihexagonal-simotrihexagonal duoprismatic tetracomb  
rittip 5D rectified-tesseract prism  1.322876
rittit 4D rectified tesseractic tetracomb  
riv 9D rectified pentacosidodecayotton  1
rix 5D rectified hexateron  0.816497
rixhi 4D retroinverted hexacosahecatonicosachoron  3.077684
rixip 6D rectified-hexateron prism  0.957427
ro 3D (chiral) rhombioctahedron, compound of 4 trip  0.763763
robay 8D rectified diacositetracont-myriaheptachiliadiacosioctaconta-zetton, t1(21,4)  2.645751
roc 7D rectified octaexon  0.866025
rofix 4D rectified faceted hexacosichoron  3.077684
rojak 6D rectified icosiheptaheptacontidipeton  1.290994
rolaq 7D rectified pentacontihexapentacosiheptacontihexaexon  1.732051
rolin (old: lanq) 7D rectified pentacontihexahecatonicosihexaexon, pentacontihexahecatonicosihexapentacosiheptacontihexaexon  2.449490
rosaqri (old: rasquahpri) 3D rhombisnub quasirhombicosicosahedron, rhombisnub quasihyperpseudorhombicosicosahedron, compound of 5 querco  0.736813
rosi 3D rhombisnub icosahedron, compound of 10 hip  1.118034
rothaph 3D rhombitriangular-hexagonal prismatic honeycomb  
rothat 2D rhombitrihexagonal tiling  
... 4D vertex-first rotunda of hexacosachoron  1.618034
rox 4D rectified hexacosachoron  3.077684
... 4D rox+720pip (?)  3.077684
roxip 5D rectified-hexacosachoron prism  3.118034
ru 10D rectified hendecaxennon, rectified undecaxennon  0.904534

S
... 4D β3/2o3β (?) ...
... 3D β3/2β3x3*a (?) ...
... 4D β3o3o4β (?) ...
... 4D β3o3o5β (?) ...
... 4D β3o3β3o (?) ...
... 4D β3o3β4o (?) ...
... 4D β3o3β4β (?) ...
... 4D β3o3β4x (?) ...
... 4D β3o3β5o (?) ...
... 4D β3o3β5β (?) ...
... 4D β3o3β5x (?) ...
... 4D β3o4o3β (?) ...
... 3D β3o4β (?) ...
... 4D β3o4β3o (?) ...
... 3D β3o5β (?) ...
... 4D β3β3o3β (?) ...
... 4D β3β3o4β (?) ...
... 4D β3β3o5β (?) ...
... 4D β3β3β3o (?) ...
... 4D s3s3s3s (?) ...
... 4D β3β3β3x (?) ...
... 2D hyperbolic snub tiling of family o3o3o4*a  
... 4D s3s3s4s (?) ...
... 4D s3s3s4x (?) ...
... 4D β3β3β5o (?) ...
... 4D s3s3s5s (?) ...
... 4D β3β3β5x (?) ...
... 2D hyperbolic snub tiling of family o3o3o∞*a  
... 4D β3β3x *b3o (?) ...
... 4D β3β3x3β (?) ...
... 4D β3β3x4β (?) ...
... 4D β3β3x5β (?) ...
... 4D β3β4o3β (?) ...
... 4D β3β4β3o (?) ...
... 4D s3s4s3s (?) ...
... 4D β3β4β3x (?) ...
... 2D hyperbolic snub tiling of family o3o4o5*a  
... 4D β3β4x3β (?) ...
... 2D hyperbolic snub triheptagonal tiling  
... 2D hyperbolic snub tritritetragonal tiling  
... 2D hyperbolic snub trioctagonal tiling  
... 2D hyperbolic snub trigonal-horocyclic tiling  
... 4D β3x3o4β (?) ...
... 4D β3x3o5β (?) ...
... 4D β3x3β3o (?) ...
... 4D β3x3β3x (?) ...
... 4D β3x3β4β (?) ...
... 4D β3x3β4x (?) ...
... 4D β3x3β5o (?) ...
... 4D β3x3β5β (?) ...
... 4D β3x3β5x (?) ...
... 4D β3x3x3β (?) ...
... 4D β3x3x4β (?) ...
... 4D β3x3x5β (?) ...
... 3D β3x4β (?) ...
... 4D β3x4β3o (?) ...
... 4D β3x4β3x (?) ...
... 4D β3x4x3β (?) ...
... 3D β3x5β (?) ...
... 2D hyperbolic snub tetrapentagonal tiling  
... 4D β5/2o5β (?) ...
... 3D β5/2x5β (?) ...
... 2D hyperbolic snub pentapentagonal tiling  
sabach 7D small bicellated hexadecaexon, bistericated octaexon  1.414214
sabbadipady 4D small blendic disprismatodishecatonicosachoron  2
... 4D sabbadipady+sanbathi (?), ganbathi+quitsishi (?)  2
sabbathi 4D small blendic trishecatonicosachoron  2
sabippady (old: sabbippady) 4D small blendic prismatodishecatonicosachoron  2
saborx 6D small birhombated hexeract, bicantellated hexeract  2.645751
sabril 6D small birhombated heptapeton, bicantellated heptapeton  1.558387
sabrim (older: pirm, even older: sirmak,
oldest: skorm) 		6D small birhombated pentacontitetrapeton (prismatorectified pentacontitetrapeton, small rhombated pentacontitetraheptacontidipeton, small heptacontidirhombated pentacontitetrapeton)  3
sabro 7D small birhombated octaexon, bicantellated octaexon  1.658312
saddid 3D small dodekicosidodecahedron  2.232951
saddiddip 4D small-dodekicosidodecahedron prism  2.288246
sadi   (alt.: idex) 4D snub icositetrachoron, snub disicositetrachoron, semistruncated icositetrachoron, icositetradiminished hexacosachoron  1.618034
sadip 5D snub-icositetrachoron prism, snub-disicositetrachoron prism, semistruncated-icositetrachoron prism  1.693527
sadit 4D snub icositetrachoric tetracomb  
sadixady 4D small dishexacosadishecatonicosachoron  1.773668
sadixhix (old: sixhix) 4D small dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not gadixhix)  1
sadsadox 4D small disnub dihexacosachoron  3.077684
sadsid 3D small disnub dodecahedron, compound of 12 stap  0.656431
sadtap 4D small ditetrahedronary prismatochoron, compound of 36 dadip  2.288246
sadtef pixady 4D small ditetrahedronary exofissary prismatohexacosadishecatonicosachoron  2.288246
sadtifady 4D small ditetrahedronarofissary dishecatonicosachoron  2.288246
sanbathi 4D small spinoblendic trishecatonicosachoron  2
sanbippady 4D small spinoblendic prismatodishecatonicosachoron  2
sand tathi 4D small intercepted ditetrahedronary trishecatonicosachoron  2.288246
sapisseri 3D (chiral) snub pseudosnub rhombicosahedron, compound of 20 thah  0.707107
saquid paxhi 4D small quasidisprismatohexacosihecatonicosachoron, Holey Terror  2.288246
saro 7D small rhombated octaexon, cantellated octaexon  1.414214
sart 5D small rhombated triacontiditeron, cantellated pentacross  1.732051
sarx 5D small rhombated hexateron, cantellated hexateron  1.290994
sarz 7D small rhombated hecatonicosoctaexon, cantellated heptacross  1.732051
sassid 3D (chiral) small snub dodecahedron, compound of 6 stap  0.656431
sassiph 3D snub square prismatic honeycomb  
scad (old: shad) 5D small cellated dodecateron, small hedrated dodecateron, stericated hexateron  1
scag 6D small cellihexacontatetrapeton, stericated hexacross  2
scal 6D small cellated heptapeton, stericated heptapeton  1.195229
scant 5D small cellated penteractitriacontiditeron, stericated penteract, stericated pentacross  1.567516
sco 7D small cellated octaexon, stericated octaexon  1.322876
scox 6D small cellihexeract, stericated hexeract  1.978437
scyropot 4D small cyclorhombated pentachoric tetrachomb, small prismatodispentachoric tetracomb  
se 3D small icosiicosahedron, compound of 5 oct  0.707107
sedit pathi 4D small exoditetrahedronary prismatotriakishecatonicosachoron  2.288246
seedatepthi 4D small exoditetrahedrary prismatotrishecatonicosachoron  1.414214
sefdit dixdy 4D small exofissary ditrigonal dihexacosadihecatonicosachoron  1.732051
sefidtethi 4D small exofissary ditetrahedronary tetrakishecatonicosachoron  2.288246
sefradit thix 4D small exofissary retroditetrahedronary triakishecatonicosihexacosachoron  2.288246
seihid 3D small icosihemidodecahedron  1.618034
seside 3D small snub icosicosidodecahedron, snub disicosidodecahedron, holosnub icosahedron, hastur  1.458190
sesidip 4D small-snub-icosicosidodecahedron prism  1.541531
setitdin 5D small tesseractitriacontidiadispenteract  2.423081
seto 7D small terated octaexon, pentellated octaexon  1.198958
sez (old: shio) 7D hepteractihecatonicosoctaexon  1.414214
sgysrahi 4D swirl-gyrated small rhombated hecatonicosachoron, swirl-gyrated cantellated hecatonicosachoron  6.735034
sha 2D square hemiapeirogonal tesselation  
shafipto 4D small hexadecafaceted prismatotesseractioctachoron  1.485633
... 4D shafipto+32tet (?)  1.485633
shahoh 4D small hexadecahemihexadecachoron  1
shiddip, K-4.54 4D square - hexagon duoprism  1.224745
shihi 4D small hecatonicosihecatonicosachoron  5.854102
shihix 4D small hecatonicosihecatonicosihexacosachoron  2.975584
shilq 7D small demified pentacontihexapentacosiheptacontihexaexon  2.179449
shinhi 4D small hecatonicosintercepted hecatonicosachoron  4.534568
shipady 4D small hecatonicosiprismatodishecatonicosachoron  1.814331
shopjak 6D small demiprismated icosiheptaheptacontidipeton  1.914854
shothat, (inbetween: shath) 2D small hexagonal-trigonal-hexagonal tiling  
si 3D snub icosahedron, compound of 10 oct (but not gissi)  0.707107
sibcotdin 5D small biprismatocellitriacontadiadispenteract  3.534493
siborg 6D small birhombated hexacontatetrapeton, bicantellated hexacross  2.236068
sibpof 6D small biprismated tetradecapeton, biruncinated heptapeton  1.414214
sibrant 5D small birhombated penteractitriacontiditeron, bicantellated penteract, bicantellated pentacross  2.236068
sibrid (old: sadrid) 5D small birhombated dodecateron, bicantellated hexateron  1.414214
sibtadin 5D small biprismatotriacontadiadispenteract  3.047217
sicdatrid 3D small complex (ditrigonal) rhombicosidodecahedron  0.866025
sichado 4D small cubihexadecadisoctachoron  2.370932
sid thipady 4D small ditrigonal hecatonicosiprismatodishecatonicosachoron  1.814331
sid tipathi 4D small ditrigonal prismatotriakishecatonicosachoron  4.179968
siddapady 4D small disprismatodishecatonicosachoron  2
siddatady 4D small ditetrahedral dishecatonicosachoron  2.288246
siddic 4D small distetracontoctachoron  1.847759
siddid (old: siided) 3D snub dodecadodecahedron, chaugnar faugn  
siddiddip 4D snub-dodecadodecahedron prism  
siddit paxhi 4D small ditetrahedronary hexacosidishecatonicosachoron  2.288246
siddit thix 4D small ditrigonal trishecatonicosihexacosachoron  1.732051
sidditdid 3D small ditrigonal dodekicosidodecahedron, small dodekified icosidodecahedron  1.721489
sidditdiddip 4D small-ditrigonal-dodekicosidodecahedron prism  1.792631
sidditpix 4D small ditrigonary prismatohexacosichoron  1.732051
siddo 3D snub disoctahedron, octahedral compound of 2 ike  0.951057
siddy 3D small dodekicosahedron  1.721489
... 3D siddy+12{10/4} (?)  1.721489
... 3D siddy+20{6/2} (?)  1.721489
sided 3D snub icosidodecadodecahedron, dagon  
sidhei 3D small dodecahemicosahedron, great dodecahemiicosahedron (but not gidhei)  1
sidhid 3D small dodecahemidodecahedron  1.618034
sidhiquit paddy 4D small dishecatonicosaquasitruncated prismatodishecatonicosachoron  5.605034
sididdip 4D snub-icosidodecadodecahedron prism  
sidipthi 4D small dipental trishecatonicosachoron  2.497212
sidpith 4D small disprismatotesseractihexadecachoron, runcinated tesseract, small prismated tesseract  1.485633
sidpithip 5D small-disprismatotesseractihexadecachoron prism, runcinated-tesseract prism, small-prismated-tesseract prism, central segment of scant  1.567516
sidpitit 4D small prismatotesseractic tetracomb, small diprismatotesseractic tetracomb  
sidpixathi 4D small dipentagonal hexacositrihecatonicosachoron  2.497212
sidpixhi 4D small disprismatohexacosihecatonicosachoron, runcinated hecatonicosachoron, runcinated hexacosachoron  5.236068
sidpixhip 5D small-disprismatohexacosihecatonicosachoron prism, runcinated-hecatonicosachoron prism, runcinated-hexacosachoron prism  5.259887
sidsrahi 4D swirl-diminished small rhombated hecatonicosachoron, swirl-diminished cantellated hecatonicosachoron  6.735034
sidtaxady 4D small ditetrahedronary hexacosidishecatonicosachoron  2.288246
sidtaxhi 4D small ditetrahedronary hexacosihecatonicosachoron  2.288246
sidthidy hi 4D small ditrigonal hecatonicosadishecatonicosihecatonicosachoron  1.732051
sidthixhi 4D small ditrigonal hecatonicosihexacosihecatonicosachoron  1.773668
sidtid 3D small ditrigonal icosidodecahedron  0.866025
... 3D sidtid+ditdid (?)  0.866025
... 3D sidtid+ditdid+gidtid (?)  0.866025
... 3D sidtid+gidtid (?)  0.866025
sidtidap 4D small-ditrigonal-icosidodecahedron antiprism ...
sidtiddip 4D small-ditrigonal-icosidodecahedron prism  1
sidtixhi 4D small ditrigonary hexacosihecatonicosachoron  1
... 4D sidtixhi+dox (?)  1
sifdahihox 4D small fissary dodecahedronary hecatonicosihemihexacosachoron  1
siid 3D small icosicosidodecahedron  1.721489
siidcup 4D small icosicosidodecahedral cupoliprism, closer siid atop siid  1.765796
siidip 4D small-icosicosidodecahedron prism  1.792631
sik vipathi 4D small skewverted prismatotriakishecatonicosachoron  2.828427
sik vixathi 4D small skewverted hexacositriakishecatonicosachoro  4.684471
... 2D hyperbolic snub di-horocyclic tiling  
sinnont 5D small penteractipenteractitriacontiditeron  1.567516
siphado 4D small prismatohexadecadisoctachoron  2.613126
siphidy 4D small prismated hecatonicosadishecatonicosachoron  4.917351
siphin 5D small prismated hemipenteract, runcinated demipenteract  1.274755
sipthi 4D small prismatotriakishecatonicosachoron  1.878261
sipti 4D small prismatotriakisicositetrachoron  3.498949
sirc 4D small retrotetracontoctachoron  1.847759
sirco 3D small rhombicuboctahedron  1.398966
sircope, K-4.66 4D small-rhombicuboctahedron prism  1.485633
sird 3D small rhombidodecahedron  2.232951
... 3D sird+12{10/2} (?)  2.232951
... 3D sird+20{6/2} (?)  2.232951
sirdatady 4D small retroditetrahedral dishecatonicosachoron  2.288246
... 4D sirdatady+1440{5/2}  2.288246
sirdtapady 4D small retroditetrahedronary prismatodishecatonicosachoron  2.288246
... 4D sirdtapady+600 2tet (?)  2.288246
sirdtaxady 4D small retroditetrahedronary hexacosidishecatonicosachoron  2.288246
sirfix 4D small rhombated faceted hexacosachoron  4.352502
sirfixthi 4D small retrofrustic hexacositrishecatonicosachoron  2.236068
sirgaghi 4D small rhombated great grand hecatonicosachoron  1.513868
sirgashi 4D small rhombated grand stellated hecatonicosachoron  1.589926
sirgax 4D small rhombated grand hexacosachoron  1.054256
sirghi 4D small rhombated great hecatonicosachoron  3.387054
sirhax 6D small rhombated hemihexeract, cantellated demihexeract  1.936492
sirhin 5D small rhombated hemipenteract, cantellated demipenteract  1.620185
sirjak 6D small rhombated icosiheptaheptacontidipeton  2.380476
sirn 5D small rhombated penteract, cantellated penteract  2.207107
sirpin 5D small retroprismated penteract  1.914214
sirsashi 4D small rhombated small stellated hecatonicosachoron  3.963358
sirsei 3D small retrosnub icosiicosahedron, compound of 5 gike  0.587785
sirsid 3D small (inverted) retrosnub icosicosidodecahedron, retrosnub disicosidodecahedron, yog sothoth  0.580695
sirsiddip 4D small-(inverted)-retrosnub-icosicosidodecahedron prism  0.766294
sirsido 3D small retrosnub disoctahedron, compound of 2 gike  0.587785
sis 3D small snubihedron, compound of 6 tet (but not snu)  0.612372
sisdipthi 4D small stellated dipental trishecatonicosachoron  2.497212
sishi 4D small stellated hecatonicosachoron  1
... 4D sishi+gaghi+120did (?)  1
... 4D sishi+gaghi+idhi (?)  1
... 4D sishi+gridixhi (?)  1
... 4D sishi+idhi (?)  1
... 4D sishi+ofiddady (?)  1
... 4D sishi+paphicki+gridaphi (?)  1
sisp 4D small swirlprism  1.618034
sissid 3D small stellated dodecahedron  0.587785
... 3D sissid+3gike (?)  0.587785
sissiddip 4D small-stellated-dodecahedron prism  0.771681
sistodip 4D square - octagram duoprism  0.890446
sit thixady 4D small tritrigonal hecatonicosihexacosidishecatonicosachoron  3.835128
sitphi 4D small tripesic hecatonicosachoron  2.288246
sitpodady 4D small (intersected) tripesic dodecahedronary dishecatonicosachoron  1
sitwadip 4D square - dodecagon duoprism  2.057195
six fipady 4D small hexacosafaceted prismatodishecatonicosachoron  5.236068
sixathi 4D small hexacositriakishecatonicosachoron  2.351141
... 4D six fipady+1200tet (?)  5.236068
sixhidy 4D small hexacosihecatonicosadishecatonicosachoron  2.975584
sixhihy 4D small hexacosihecatonicosihecatonicosachoron  0.763932
sixipady 4D small hexacosiprismatodishecatonicosachoron  6.881910
skiv datapixady 4D small skewverted ditrigonary prismatohexacosadishecatonicosachoron  4.684471
skiviphado 4D small skewverted prismatohexadecadisoctachoron  1.414214
snadow, J84 3D snub disphenoid  
snasquat 2D snub square tiling  
snathaph 3D snub trigonal-hexagonal prismatic honeycomb  
snathat 2D snub trihexagonal tiling  
sne 3D snub icosiicosahedron, compound of 5 ike  0.951057
snic 3D snub cube, snub cuboctahedron  
sniccup, K-4.60 4D snub-cube prism, snub-cuboctahedron prism  
snid 3D snub dodecahedron, snub icosidodecahedron  
sniddip, K-4.110 4D snub-dodecahedron prism, snub-icosidodecahedron prism  
snisquap, J85 3D snub square antiprism  
sno 3D snub octahedron, compound of 4 oct  0.707107
snu 3D snubihedron, compound of 6 tet (but not sis)  0.612372
so 3D stella octangula, compound of 2 tet  0.612372
sobpoxog 6D small biprismated hexeractihexacontatetrapeton, biruncinated hexeract, biruncinated hexacross  2.345208
socco 3D small cubicuboctahedron  1.398966
soccope 4D small-cubicuboctahedron prism  1.485633
sochax 6D small cellated hemihexeract, stericated demihexeract  1.322876
sodip, K-4.70 4D square - octagon duoprism  1.485633
sophax 6D small prismated hemihexeract, runcinated demihexeract  1.658312
sophi 4D small prismatohecatonicosachoron  3.077684
spam (old: skopam) 6D small prismated pentacontitetrapeton (small hebdomecontadiaprismated pentacontitetrapeton)  2.236068
span 5D small prismated penteract, runcinated penteract  1.914214
spapivady 4D small pentagrammal antiprismatoverted dishecatonicosachoron  1.175571
spat 5D small prismated triacontiditeron, runcinated pentacross  1.870829
spaz 7D small prismated hecatonicosoctaexon, runcinated heptacross  1.870829
spd{3,5,3}   (old: spt{3,5,3}) 3D semi partial diminishing (old: truncation) of hyperbolic order 3 icosahedral tesselation  
spene 8D small prismated enneazetton, runcinated enneazetton  1.452966
sphiddix 4D small prismatohecatonicosadishexacosachoron  6.881910
sphihix 4D small prismatohecatonicosahecatonicosahexacosachoron  5.515107
sphixhi 4D small prismatohecatonicosihexacosihecatonicosachoron  4.179968
spic 4D small prismatotetracontoctachoron, runcinated icositetrachoron  1.847759
spiccup 5D small-prismatotetracontoctachoron prism, runcinated-icositetrachoron prism  1.914214
spid 4D small prismatodecachoron, runcinated pentachoron  1
spiddip 5D small-prismatodecachoron prism  1.118034
spidrox 4D swirlprismatodiminished rectified hexacosachoron  3.077684
spidy 4D swirlprismattic dishecatonicosachoron, compound of 24 starpedip  1
spil 6D small prismated heptapeton, runcinated heptapeton  1.309307
spix 5D small prismated hexateron, runcinated hexateron  1.190238
spixady 4D small prismatohexacosadishecatonicosachoron  8.278950
spixhihy 4D small prismatohexacosihecatonicosihecatonicosachoron  9.744610
spo 7D small prismated octaexon, runcinated octaexon  1.391941
spog 6D small prismatohexacontatetrapeton, runcinated hexacross  1.870829
spox 6D small prismated hexeract, runcinated hexeract  2.263033
sprapivady 4D small pentagonal retroprismatoverted dishecatonicosachoron  3.077684
spriphi 4D small pseudorhombated prismatohecatonicosachoron  6.735034
... 4D spriphi+600 2thah (?)  6.735034
spript 4D small pseudorhombated prismatotesseract  1.847759
... 4D spript+16 2thah (?)  1.847759
squaco 5D square-cuboctahedron duoprism  1.224745
squacu, J4 3D square cupola  1.398966
squadedip, K-4.97 4D square - decagon duoprism  1.765796
squadoe 5D square-dodecahedron duoprism  1.569562
squagirco 5D square great-rhombicuboctahedron duoprism  2.423081
squagrid 5D square - great-rhombicosidodecahedron duoprism  3.867584
squahex 6D square-hexadecachoron duoprism  1
squahi 6D square-hecatonicosachoron duoprism  3.769377
squahix 7D square - hexateron duoprism  0.957427
squahop 8D square - heptapenton duoprism  0.963624
squap 3D square antiprism  0.822664
squapen 6D square-pentachoron duoprism  0.948683
squappip, K-4.19 4D square-antiprism prism  0.962692
squarahi 6D square - rectified-hecatonicosachoron duoprism  4.589369
squarap 6D square - rectified-pentachoron duoprism  1.048809
squarico 6D square - rectified-icositetrachoron duoprism  1.870829
squarit 6D square - rectified-tesseract duoprism  1.414214
squarox 6D square - rectified-hexacosachoron duoprism  3.157869
squasirco 5D square - small-rhombicuboctahedron duoprism  1.567516
squasrid 5D square - small-rhombicosidodecahedron duoprism  2.342236
squat 2D square tiling, 2D hypercubical honeycomb (δ2), Voronoi complex of square lattice, Delone complex of square lattice  
squatet 5D square-tetrahedron duoprism  0.935414
squati 5D square - truncated-icosahedron duoprism  2.576932
squatic 5D square - truncated-cube duoprism  1.914214
squatid 5D square - truncated-dodecahedron duoprism  3.052479
squatoe (old: squato) 5D square - truncated-octahedron duoprism  1.732051
squatut 5D square - truncated-tetrahedron duoprism  1.369306
squex 6D square-hexacosachoron duoprism  1.765796
squico 6D square-icositetrachoron duoprism  1.224745
squid 5D square-icosidodecahedron duoprism  1.765796
squigybcu, J29 3D square gyrobicupola  
squike 5D square-icosahedron duoprism  1.185120
squipdip, K-4.42 4D square-pentagon duoprism  1.106168
squippy, 4pyr, J1 3D tetragonal pyramid, half of oct  0.707107
squippyp, K-4.12 4D square-pyramidal prism, J1 prism, line || cube, digonal magnabicupolaic ring  0.866025
squippypy, 4pyr-pyr, K-4.4 4D square-pyramidal pyramid, quarter of hex, square-scalene, 4 tet rosette  0.707107
squobcu, J28 3D square orthobicupola  
squoct 5D square-octahedron duoprism  1
sradditdahix 4D small retroditetrahedronary dishecatonicosihexacosachoron  2.288246
sraghi 4D small rhombated grand hecatonicosachoron  2.689994
srahi 4D small rhombated hecatonicosachoron, cantellated hecatonicosachoron  6.735034
srahip (old: srahipe) 5D small-rhombated-hecatonicosachoron prism  6.753568
sram (older: skobram, oldest skabram) 6D small rhombated pentacontitetrapeton (small hebdomecontadiabirhombated pentacontitetrapeton)  3.316625
srawv ditathi 4D small retrosphenoverted ditrigonary triakishecatonicosachoron  3.294556
srawv hidy 4D small retrosphenoverted hecatonicosadishecatonicosachoron  3.387054
srawv hixhi 4D small retrosphenoverted hecatonicosihexacosihecatonicosachoron  6.073594
srawvathi 4D small retrosphenoverted triakishecatonicosachoron  4.352502
srawvixady 4D small retrosphenoverted hexacosadishecatonicosachoron  6.735034
srek 8D small rhombated diacosipentacontahexazetton, cantellated octacross  1.732051
srene 8D small rhombated enneazetton, cantellated enneazetton  1.452966
srich 3D small rhombated cubic honeycomb, cantellated cubic honeycomb  
srico 4D small rhombated icositetrachoron, cantellated icositetrachoron  2.613126
sricope (old: sripe) 5D small-rhombated-icositetrachoron prism, cantellated-icositetrachoron prism  2.660531
srid 3D small rhombicosidodecahedron  2.232951
sridaphi 4D small retroinverted dodecahedronary prismatohecatonicosachoron  1
sriddip, K-4.111 4D small-rhombicosidodecahedron prism  2.288246
sridixhi 4D small retroinverted dodecahedronary hexacosahecatonicosachoron  1
sril 6D small rhombated heptapeton, cantellated heptapeton  1.362770
srip 4D small rhombated pentachoron, cantellated pentachoron  1.183216
sriphi 4D small retropental hecatonicosachoron  3.077684
srippip 5D small-rhombated-pentachoron prism  1.284523
srit 4D small rhombated tesseract, cantellated tesseract  1.847759
srittip 5D small-rhombated-tesseract prism  1.914214
srittit 4D small rhombitesseractic tetracomb  
srix 4D small rhombated hexacosachoron, cantellated hexacosachoron  6.073594
srixip 5D small-rhombated-hexacosachoron prism, cantellated-hexacosachoron prism  6.094140
srog 6D small rhombihexacontatetrapeton, cantellated hexacross  1.732051
sroh 3D small rhombihexahedron  1.398966
... 3D sroh+8{6/2} (?)  1.398966
srox 6D small rhombated hexeract, cantellated hexeract  2.515637
stadidip 4D decagram-decagram duoprism  0.874032
staf (interim: stef) 6D small terated tetradecapeton, pentellated heptapeton  1
stap 3D stellar antiprism, 5/2-antiprism  0.656431
stappy, 5/2-pyr 3D pentagrammic pyramid  0.587785
stappyp 4D pentagram-pyramidal prism, line || stip  0.771681
stappypy, 5/2pyr-pyr 4D pentagram-pyramidal pyramid, pentagram-scalene, 5 tet two-step rosette  0.618034
stardedip 4D pentagram - decagon duoprism  1.701302
stardip 4D pentagram-pentagram duoprism  0.743496
starodip 4D pentagram - octagon duoprism  1.408368
starp (old: restap) 3D stellar retroprism (retrograde stellar antiprism), 5/3-antiprism  0.587785
starpedip (older: stipdip, oldest: starpendip) 4D pentagram-pentagon duoprism, stellar (pentagonal) pentagonal diprism  1
stastidedip 4D pentagram - decagram duoprism  0.811393
stastodip 4D pentagram - octagram duoprism  0.754511
stawros 4D pentagrammic ({10} || pip-)wedge rosette, bridge cyclopentaaugmented starpedip, ring-augmented starpedip  
sted 4D stellated decachoron, compound of 2 pen  0.632456
steth 4D small tesseractitesseractihexadecachoron  1.485633
stico 4D stellated icositetrachoron, compound of 3 hex  0.707107
stiddip 3D stellated decagonal prism, 10/3-prism, 10-prism with winding number 3  0.794963
stip 3D stellated pentagonal prism, 5/2-prism, 5-prism with winding number 2, vertex figure of raggix  0.725530
stiscu 3D pentagrammic cuploid, star semicupola  0.866025
sto 4D small trisoctachoron, small triakisoctachoron  1.224745
... 4D sto+16tet (?)  1.224745
stoc 4D stellated tetracontoctachoron, compound of 2 ico  1
stodatixhi 4D small toroidoditrigonary hexacosihecatonicosachoron  1.732051
stodip 4D octagram-octagram duoprism  0.765367
stoditpix 4D small toroidoditrigonary prismatohexacosichoron  1.732051
stodop 4D octagram diorthoprism, compound of 2 sistodip  1.485633
stop (old: sop) 3D stellated octagonal prism, 8/3-prism, 8-prism with winding number 3  0.736813
stoxog 6D small terated hexeractihexacontatetrapeton, pentellated hexeract, pentellated hexacross  1.645329
stut dixady 4D small tritrigonal dihexacosidihecatonicosachoron  3.835128
stut phiddix 4D small tritrigonal prismatohecatonicosidishexacosachoron  3.835128
stut pixady 4D small tritrigonal prismatohexacosidihecatonicosachoron  3.835128
stut thix 4D small tritrigonal trishecatonicosihexacosachoron  3.835128
stut xethi 4D small tritrigonal hexacositrishecatonicosachoron  3.835128
suph 7D small petated hexadecaexon, hexicated octaexon  1
suti 4D small tetrakisicositetrachoron  1.608038
swav ditathi 4D small sphenoverted ditrigonary triakishecatonicosachoron  2.572554
swavathi 4D small sphenoverted triakishecatonicosachoron  2.093315
swavixady 4D small sphenoverted hexacosadishecatonicosachoron  3.294556

T
tac 5D triacontiditeron, pentacross (β5), aeroteron, pentachoral antiprism  0.707107
taccup 6D triacontiditeron prism  0.866025
tacog 6D tericellated hexacontatetrapeton, pentitruncated hexeract  3.121320
tacogral (old: gatocral) 6D tericelligreatorhombated heptapeton, pentistericantitruncated heptapeton  2.976095
tacox 6D tericellated hexeract, pentitruncated hexacross  2.474130
tactaf 6D tericellitruncated tetradecapeton, pentisteritruncated heptapeton  2.236068
tag 6D truncated hexacontatetrapeton  1.581139
taggix 4D truncated grand hexacosachoron  1.199039
taghi 4D truncated grand hecatonicosachoron  3.477092
tagopal (old: gatopal) 6D terigreatoprismated heptapeton, pentiruncicantitruncated heptapeton  3.116775
tah 4D tesseractihexadecachoron, bitruncated tesseract, bitruncated hexadecachoron  2.121320
tahi 4D triakishecatonicosachoron  2
tahp 5D tesseractihexadecachoron prism, bitruncated-tesseract prism, bitruncated-hexadecachoron prism  2.179449
taki 3D truncated chiro-icosahedron, compound of 5 tut  1.172604
talq 7D truncated pentacontihexapentacosiheptacontihexaexon  2.645751
tan 5D truncated penteract  2.465447
tanq 7D truncated hecatonicosihexapentacosiheptacontihexaexon  2.179449
taporf (old: staporf) 6D teriprismatorhombitetradecapeton, pentiruncicantellated heptapeton  2.449490
tapox (old: stapox) 6D teriprismated hexeract, penticantellated hexacross  2.707107
tar (old: harie) 3D truncated rhombihedron, hyperhombicosicosahedron, compound of 5 tic  1.778824
targi 3D trireplinished great icosahedron  0.587785
tark 8D trirectified diacosipentacontahexazetton  1.414214
tarv 9D trirectified pentacosidodecayotton  1.414214
tasa 7D truncated hepteract  2.998773
tassiph 3D truncated square prismatic honeycomb  
tat 4D truncated tesseract  2.149726
tatoh 3D truncated tetrahedral-octahedral honeycomb, truncated alternated cubic honeycomb  
tattip 5D truncated-tesseract prism  2.207107
tattit 4D truncated tesseractic tetracomb  
tattoc 7D tritruncated octaexon  1.854050
taud, J61 3D metabiaugmented dodecahedron  
tauhip, J57 3D triaugmented hexagonal prism  
tautid, J71 3D triaugmented truncated dodecahedron  
tautip, J51 3D triaugmented trigonal prism  
taz 7D truncated hecatonicosoctaexon, truncated heptacross  1.581139
te 3D truncated icosiicosahedron, compound of 10 tut  1.172604
teddi, J63 3D tridiminished icosahedron, vertex figure of sadi  0.951057
... 4D tridiminished-icosahedron prism  1.074481
tedpy 4D tetrahedral dipyramid  
tedrid, J83 3D tridiminished rhombicosidodecahedron  2.232951
tek 8D truncated diacosipentacontahexazetton, truncated octacross  1.581139
tene 8D truncated enneazetton  1.414214
tepe, K-4.9 4D tetrahedron prism, line || trip, square - square bi-wedge, digonal orthobicupolaic ring  0.790569
teppix (old: dattix) 4D tripesic hexacosachoron, compound of 60 deca  1.414214
tes, K-4.20 4D tesseract, octachoron, "hypercube", 4D measure-polytope (γ4), 8-cell, geochoron  1
test 4D tesseractic tetracomb, 4D hypercubical honeycomb (δ4)  
tet 3D tetrahedron, 3D simplex (α3), pyrohedron, triangle pyramid, digonal antiprism, smaller Delone cell of face-centered cubic (fcc) lattice, regular line-scalene, regular (point-)tettene  0.612372
tetco 6D tetrahedron-cuboctahedron duoprism  1.172604
tetcube 6D tetrahedron - cube duoprism  1.060660
tetdip 6D tetrahedron-tetrahedron duoprism  0.866025
tetdoe 6D tetrahedron-dodecahedron duoprism  1.529224
tethex 7D tetrahedron - hexadecachoron duoprism  0.935414
tethix 8D tetrahedron-hexateron duoprism  0.889757
tetid 6D tetrahedron-icosidodecahedron duoprism  1.730039
tetike 6D tetrahedron-icosahedron duoprism  1.131154
tetoct 6D tetrahedron-octahedron duoprism  0.935414
tetpen 7D tetrahedron-pentachoron duoprism  0.880341
tetrap 7D tetrahedron - rectified-pentachoron duoprism  0.987421
tettac 8D tetrahedron-triacontiditeron duoprism  0.935414
tex 4D truncated hexacosachoron  4.643523
texip 5D truncated-hexacosachoron prism  4.749980
tha 2D trigonal hemiapeirogonal tesselation  
thah 3D tetrahemihexahedron  0.707107
thaph 3D truncated-hexagonal prismatic honeycomb  
thaquitoth 4D tesseractihexadecaquasitruncated tesseractihexadecachoron  1.338990
thaquitpath 4D tesseractihexadecaquasitruncated prismatotesseractihexadecachoron  2.326846
that 2D trihexagonal tiling, Kagomé tiling  
thatoth 4D tesseractihexadecatruncated tesseractihexadecachoron  1.790840
thatpath 4D tesseractihexadecatruncated prismatotesseractihexadecachoron  1.608038
thawro, J92 3D triangular hebesphenorotunda  
thax 6D truncated hemihexeract  1.581139
thesa 7D truncated demihepteract  2.423840
thex 4D truncated hexadecachoron  1.581139
thexip 5D truncated-hexadecachoron prism  1.658312
thext 4D truncated hexadecachoric tetracomb, truncated demitesseractic tetracomb  
thi 4D truncated hecatonicosachoron  8.218334
thiddip, K-4.47 4D triangle - hexagon duoprism, hexagon - hip wedge  1.154701
thin 5D truncated hemipenteract  1.903943
thipe 5D truncated-hecatonicosachoron prism  4.670365
thiph 3D triangular-hexagonal prismatic honeycomb  
tho 4D tesseractihemioctachoron, octahemioctachoron  0.707107
thocto 8D truncated hemiocteract  2.645751
thoot thibbit 4D tomohexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
thorahbit 4D tomohexagonal-rhombitrihexagonal duoprismatic tetracomb  
thot thibbit 4D trihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb  
thrathibbit 4D trihexagonal-rhombitrihexagonal duoprismatic tetracomb  
ti 3D truncated icosahedron, buckyball  2.478019
... 4D bistratic icosidodecahedron-first subsegment of small rhombihexacosachoron  6.073594
tic 3D truncated cube, truncated hexahedron  1.778824
... 4D ofx3xoo4xxx&#xt  
ticcup, K-4.99 4D truncated-cube prism  1.847759
tich 3D truncated cubic honeycomb  
tico 4D truncated icositetrachoron, cantitruncated hexadecachoron  2.645751
ticope 5D truncated-icositetrachoron prism  2.692582
ticot 4D truncated icositetrachoric tetracomb  
tid 3D truncated dodecahedron  2.969449
... 4D ofx3xoo5xxx&#xt  
tiddip, K-4.130 4D truncated-dodecahedron prism  3.011250
tidox (old: togex) 4D truncated dodecahedronary-hexacosachoron (truncated great hexacosachoron), compound of 25 tico  2.645751
tidtidohi 4D truncated ditrigonal dishecatonicosachoron  2.645751
tiffix 4D truncated faceted hexacosichoron  4.643523
tigaghi 4D truncated great grand hecatonicosachoron  2
tigfix 4D truncated great faceted hexacosichoron  1.199039
tiggidtixhi 4D truncated great ditrigonal hexacosihecatonicosachoron  2.645751
tiggipe 4D truncated-great-icosahedron prism  1.165943
tiggy 3D truncated great icosahedron, great truncated icosahedron  1.053292
tighi 4D truncated great hecatonicosachoron  3.477092
tigid 3D truncated great dodecahedron  1.876844
tigiddip 4D truncated-great-dodecahedron prism  1.942303
til 6D truncated heptapeton  1.362771
tim 6D truncated pentacontitetrapeton  2.645751
tip 4D truncated pentachoron  1.264911
tipe, K-4.127 4D truncated-icosahedron prism  2.527959
tiph 3D triangular prismatic honeycomb, Delone complex of unit-stacked hexagonal lattice  
tippip 5D truncated-pentachoron prism  1.360147
tisdip, K-4.18 4D triangle - square duoprism, square - cube wedge  0.912871
tissidtixhi 4D truncated small ditrigonal hexacosihecatonicosachoron  2.645751
tisso 3D truncated stella octangula, compound of 2 tut  1.172604
tisthit 4D triangular-simotrihexagonal tetracomb  
titam (older: cacram, totam, tomak, katom) 6D tritruncated pentacontitetrapeton (centrocellirhombated pentacontitetrapeton, trunkated pentacontitetraheptacontidipeton, heptacontiditruncated pentacontitetrapeton)  3.741657
titho 4D truncated tesseractihemioctachoron  1.581139
titwadip 4D triangle - dodecagon duoprism, dodecagon - twip wedge  2.016280
tix 5D truncated hexateron  1.322876
tobcu, J27 3D triangular orthobicupola  1
toc 7D truncated octaexon  1.391941
tocal 6D teracellated heptapeton, pentitruncated heptapeton  1.647509
tocral (old: stocral) 6D tericellirhombated heptapeton, pentiruncitruncated heptapeton  2.329929
tocto 8D truncated octeract  3.232607
todip, K-4.59 4D triangle - octagon duoprism, octagon - op wedge  1.428440
todithix 4D toroidoditrigonary hecatonicosihexacosichoron  1.732051
todtixhi 4D toroidal ditrigonal hexacosihecatonicosachoron  1.732051
toe 3D truncated octahedron, Voronoi cell of body-centered cubic (bcc) lattice  1.581139
togral (old: gotral) 6D terigreatorhombated heptapeton, penticantitruncated heptapeton  2.390457
tojak 6D truncated icosiheptaheptacontidipeton  2
topag (old: stopag) 6D teriprismated hexacontatetrapeton, penticantellated hexeract  2.921564
topal (old: stopal) 6D teriprismated heptapeton, penticantellated heptapeton  1.690309
tope, K-4.89 4D truncated-octahedron prism  1.658312
torfy 8D trirectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t3(41,2)  3.162278
tosot thibbit 4D tomosquare-omnitruncated-trihexagonal duoprismatic tetracomb  
tosquat 2D truncated square tiling  
tot 5D truncated triacontiditeron, truncated pentacross  1.581139
tox 6D truncated hexeract  2.745093
toxat 2D truncated hexagonal tiling  
traco 5D triangle - cuboctahedron duoprism  1.154701
tracope 6D triangle-cuboctahedron duoprismatic prism  1.258306
tracube 5D triangle - cube duoprism  1.040833
tradedip, K-4.94 4D triangle - decagon duoprism, decagon - dip wedge  1.717954
tradoe 5D triangle - dodecahedron duoprism  1.515539
tradope 6D triangle-dodecahedron duoprismatic prism  1.595888
tragirco 5D triangle - great-rhombicuboctahedron duoprism  2.388442
tragrid 5D triangle - great-rhombicosidodecahedron duoprism  3.845977
trahex 6D triangle - hexadecachoron duoprism  0.912871
trahi 6D triangle - hecatonicosachoron duoprism  3.747204
trahin 7D triangle - hemipenteract duoprism  0.978945
trahix 7D triangle - hexateron duoprism  0.866025
trapedip, K-4.34 4D triangle - pentagon duoprism, pentagon - pip wedge  1.028076
trapedippip 5D triangle-pentagon duoprismatic prism  1.143215
trapen 6D triangle - pentachoron duoprism  0.856349
trarahi 6D triangle - rectified-hecatonicosachoron duoprism  4.571175
trarap 6D triangle - rectified-pentachoron duoprism  0.966092
trarico 6D triangle - rectified-icositetrachoron duoprism  1.825742
trarit 6D triangle - rectified-tesseract duoprism  1.354006
trarox 6D triangle - rectified-hexacosachoron duoprism  3.131369
trasirco 5D triangle small-rhombicuboctahedron duoprism  1.513420
trasrid 5D triangle - small-rhombicosidodecahedron duoprism  2.306383
trat 2D triangular tiling, Delone complex of hexagonal lattice  
tratac 7D triangle - triacontiditeron duoprism  1.154701
tratepe 6D triangle-tetrahedron-duoprism prism  0.978945
tratess 6D triangle - tesseract duoprism  1.154701
tratet 5D triangle - tetrahedron duoprism  0.841625
trati 5D triangle - truncated-icosahedron duoprism  2.544388
tratic 5D triangle truncated-cube duoprism  1.870173
tratid 5D triangle - truncated-dodecahedron duoprism  3.025056
tratoe 5D triangle truncated-octahedron duoprism  1.683251
tratratrip 7D triangle - triangle - triangle - triprismatic prism  1.118034
tratrip (old: triddippip) 5D triangle triangular-prism duoprism, triangle-triangle duoprismatic prism  0.957427
tratut 5D triangle truncated-tetrahedron duoprism  1.307032
treday 9D trirectified decayotton  1.095445
trene 8D trirectified enneazetton  1.054093
trex 6D triangle - hexacosachoron duoprism  1.717954
tribbit 4D triangular duoprismatic tetracomb  
trico 6D triangle - icositetrachoron duoprism  1.154701
tricu, J3 3D triangular cupola, half of cuboctahedron  1
trid 5D triangle - icosidodecahedron duoprism  1.717954
triddip, K-4.10 4D triangle-triangle duoprism, triangle - trip wedge  0.816497
tridep 6D triangle-icosidodecahedron duoprismatic prism  1.789237
tridpy, J12 3D trigonal dipyramid  
trigee 8D triangle - hexacontitetrapeton duoprism  0.912871
trihop 8D triangle - heptapenton duoprism  0.872872
trike 5D triangle - icosahedron duoprism  1.112583
trikep 6D triangle-icosahedron duoprismatic prism  1.219771
trim (older: cacam, even older: tram,
oldest: mak) 		6D trirectified pentacontitetrapeton (centrocellated pentacontitetrapeton, pentacontitetraheptacontidipeton)  1.414214
trip || refl ortho trip 4D 3-prism atop reflected ortho 3-prism  0.866025
trip, 3-p 3D triangular prism, digonal cupola, Delone cell of unit-stacked hexagonal lattice  0.763763
trippen 7D triangle - pentachoron duoprism-prism  0.991632
trippy, K-4.7 4D trigonal-prismatic pyramid, vertex pyramid of the rectified pentachoron  0.774597
triquip 8D triangle-triangle-triangle-triangle-tetraprism (or: -quadprism)  1.154701
trittip 6D triangle-triangle-triangle-triprism  1
tro 8D trirectified octeract, trirectified hexadecazetton  1.581139
troct 5D triangle-octahedron duoprism  0.912871
trope (old: troctip) 6D triangle-octahedron duoprismatic prism  1.040833
tuquith 3D blend of 2 quasitruncated cubes  0.579471
tut 3D truncated tetrahedron  1.172604
... 4D ofx3xoo3xxx&#xt  
tutcup, tut || inv tut, K-4.55 4D truncated tetrahedral cupoliprism, truncated tetrahedron atop inverted truncated tetrahedron, tetrahedrally medial part of rectified tesseract  1.224745
tutic 3D blend of 2 truncated cubes  1.778824
tutrip 3D gyrated blend of 2 digonal cupola, Phillips head  0.763763
tuttip, K-4.57 4D truncated-tetrahedron prism  1.274755
twaddip 4D dodecagonal-dodecagonal duoprism  2.732051
twip 3D dodecagonal prism  1.995508

U
... 3D u x3o, variation of triangular prism, vertex figure of rectified hecatonicosachoron  1.154701
... 3D u x4o, variation of cube  1.224745
... 3D u x5o, variation of pentagonal prism  1.312862
... 3D u x6o, variation of hexagonal prism  1.414214
... 3D u3o3x, variation of cuboctahedron  1.541104
... 3D u3o4x, variation of small rhombicuboctahedron  2.040640
... 3D u3x3o, variation of truncated tetrahedron  1.732051
... 3D u3x4o, variation of truncated octahedron  2.236068
ux 10D hendecaxennon, undecaxennon, 10D simplex (α10), pyroxennon, decayottal pyramid  0.674200

V
... 3D v f3o, variation of triangular prism, vertex figure of rasishi  0.983956
... 3D v f5/2o, variation of 5/2-prism, vertex figure of ragashi  0.905040
... 3D v x3o, variation of triangular prism, vertex figure of rectified great grand stellated hecatonicosachoron  0.654847
... 3D v x5o, variation of pentagonal prism, vertex figure of ragishi  0.905040
... 3D v3o3x, variation of cuboctahedron, vertex figure of gadtaxady  0.820211
... 3D v3o5f, variation of srid, hull of tiggy  1.704262
... 3D v3x3o, variation of truncated tetrahedron, vertex figure of sidtaxhi  0.975835
... 3D v3x5f, variation of grid, hull of gaquatid  4.323687
vee 9D pentacosidodecayotton, enneacross (β9), aeroyotton, enneazettal antiprism  0.707107

W
... 3D w x4o, variation of cube  1.398966
... 3D w x8o, variation of octagonal prism, hull of 8/3-prism  1.778824
... 3D w3x3o, variation of truncated tetrahedron  1.973010
... 3D w3x4x, variation of girco, hull of cotco  3.193704
wacbinant 5D sphenary cellibiprismatopenteractipenteractitriacontaditeron  1.192297
waco, J86 3D sphenocorona  
wamco, J88 3D sphenomegacorona  
wavathi 4D sphenoverted triakishecatonicosachoron  1.662508
wavaty 4D sphenoverted triakisicositetrachoron  1.082392
wavdatixady 4D sphenoverted ditrigonal hexacosadishecatonicosachoron  1.258409
wavhiddix 4D sphenoverted hecatonicosadishexacosachoron  5.330704
wavinant 5D sphenoverted penteractipenteractitriacontaditeron  0.792893
wavitoth 4D sphenoverted tesseractitesseractihexadecachoron  0.765367

X
... 3D x f3o, variation of triangular prism  1.059565
... 3D x f5/2o, variation of 5/2-prism, vertex figure of rofix  0.986715
... 3D x q3o, variation of triangular prism, vertex figure of rectified icositetrachoron  0.957427
... 3D x u3o, variation of triangular prism  1.258306
... 3D x v5o, variation of pentagonal prism, vertex figure of rigfix  0.725530
... 3D x3/2β3x (?) ...
... 3D x3f4o, variation of truncated octahedron, hull of siddo, hull of passipsido  2.176251
... 3D x3f5o, variation of ti, hull of raded, hull of kri  3.463334
... 3D hyperbolic alternated order 5 cubical tesselation  
... 3D hyperbolic birectified alternated order-5 cubic tesselation  
... 4D hyperbolic order 5 pentachoric tesselation  
... 3D hyperbolic x3o3o3x4*a tesselation  
... 3D hyperbolic x3o3o3x5*a tesselation  
... 3D hyperbolic x3o3o4o3*a tesselation  
... 3D hyperbolic x3o3o5o3*a tesselation  
... 4D x3o3o5v, variation of small disprismatohexacosihecatonicosachoron  3.835128
... 2D hyperbolic order 3 trigonal-horocyclic tiling  
... 4D x3o3β4o (?) ...
... 4D x3o3β4x (?) ...
... 4D x3o3β5o (?) ...
... 4D x3o3β5x (?) ...
... 3D hyperbolic x3o3x3o4*a tesselation  
... 3D hyperbolic x3o3x3o5*a tesselation  
... 3D hyperbolic x3o4o3x5*a tesselation  
... 2D hyperbolic tripentagonal tiling of family o3o4o5*a  
... 3D x3o4q, variation of small rhombicuboctahedron  1.732051
... 4D x3o4q3o, variation of small rhombated icositetrachoron  3.316625
... 4D x3o4β3o (?) ...
... 3D hyperbolic x3o4x3o4*a tesselation  
... 3D hyperbolic x3o4x3o5*a tesselation  
... 2D hyperbolic dipentagonal tiling of family o3o4o5*a  
... 3D hyperbolic order 3 icosahedral tesselation  
... 3D hyperbolic prismated order 3 icosahedral tesselation, hyperbolic runcinated order 3 icosahedral tesselation  
... 3D hyperbolic rhombated order 3 icosahedral tesselation, hyperbolic cantelated order 3 icosahedral tesselation  
... 3D hyperbolic x3o5x3o5*a tesselation  
... 2D hyperbolic order 7 triangular tiling  
... 2D hyperbolic rhombitriheptagonal tiling  
... 2D hyperbolic order 8 triangular tiling  
... 2D hyperbolic shieldotritetragonal tiling  
... 2D hyperbolic rhombitrioctagonal tiling  
... 2D hyperbolic order ∞ triangular tiling  
... 2D hyperbolic rhombi-trigonal-horocyclic tiling  
... 3D x3q3o, variation of truncated tetrahedron  1.442951
... 3D x3β3o (?) ...
... 4D x3β3o3o (?) ...
... 4D x3β3o3β (?) ...
... 4D x3β3o3x (?) ...
... 4D x3β3o4o (?) ...
... 4D x3β3o4β (?) ...
... 4D x3β3o4x (?) ...
... 4D x3β3o5o (?) ...
... 4D x3β3o5β (?) ...
... 4D x3β3o5x (?) ...
... 4D x3β3β3x (?) ...
... 4D x3β3β4o (?) ...
... 4D x3β3β4β (?) ...
... 4D x3β3β4x (?) ...
... 4D x3β3β5o (?) ...
... 4D x3β3β5β (?) ...
... 4D x3β3β5x (?) ...
... 4D x3β3x4β (?) ...
... 4D x3β3x5β (?) ...
... 3D x3β4o (?) ...
... 4D x3β4o3o (?) ...
... 4D x3β4o3β (?) ...
... 4D x3β4o3x (?) ...
... 4D x3β4β3x (?) ...
... 3D x3β5o (?) ...
... 3D x3u3o, variation of truncated tetrahedron  1.837117
... 3D x3u4o, variation of truncated octahedron  2.549510
... 3D x3v3o, variation of truncated tetrahedron, vertex figure of dattady  0.935414
... 3D x3w3o, variation of truncated tetrahedron  2.120453
... 3D x3w4o, variation of truncated octahedron, hull of rah, hull of snu  2.956796
... 3D hyperbolic truncated alternated order-5 cubic tesselation  
... 3D hyperbolic bitruncated alternated order-5 cubic tesselation  
... 3D hyperbolic x3x3o3o4*a tesselation  
... 3D hyperbolic x3x3o3o5*a tesselation  
... 3D hyperbolic x3x3o3x4*a tesselation  
... 3D hyperbolic x3x3o3x5*a tesselation  
... 2D hyperbolic shieldo-trigonal-horocyclic tiling  
... 4D x3x3β3o (?) ...
... 4D x3x3β4o (?) ...
... 4D x3x3β5o (?) ...
... 3D x3x3u, variation of truncated octahedron  2.091650
... 3D hyperbolic x3x3x3o4*a tesselation  
... 3D hyperbolic x3x3x3o5*a tesselation  
... 3D hyperbolic x3x3x3x4*a tesselation  
... 3D hyperbolic x3x3x3x5*a tesselation  
... 3D hyperbolic x3x4o3o4*a tesselation  
... 3D hyperbolic x3x4o3o5*a tesselation  
... 3D hyperbolic x3x4o3x5*a tesselation  
... 2D hyperbolic shieldotetrapentagonal tiling of family o3o4o5*a, ditrigonal tiling of family o3o4o5*a  
... 3D x3x4q, variation of great rhombicuboctahedron  2.645751
... 4D x3x4β3o (?) ...
... 3D hyperbolic x3x4x3o4*a tesselation  
... 3D hyperbolic x3x4x3o5*a tesselation  
... 3D hyperbolic x3x4x3x4*a tesselation  
... 3D hyperbolic x3x4x3x5*a tesselation  
... 2D hyperbolic omnitruncated tiling of family o3o4o5*a  
... 3D hyperbolic truncated order 3 icosahedral tesselation  
... 3D hyperbolic x3x5o3o5*a tesselation  
... 3D hyperbolic prismatotruncated order 3 icosahedral tesselation, hyperbolic runcitruncated order 3 icosahedral tesselation  
... 3D hyperbolic great rhombated order 3 icosahedral tesselation, hyperbolic cantitruncated order 3 icosahedral tesselation  
... 3D hyperbolic omnitruncated order 3 icosahedral tesselation  
... 2D hyperbolic order 7 truncated trigonal tiling  
... 2D hyperbolic omnitruncated triheptagonal tiling  
... 2D hyperbolic order 8 truncated trigonal tiling  
... 2D hyperbolic omnitruncated trioctagonal tiling  
... 2D hyperbolic order ∞ truncated trigonal tiling  
... 2D hyperbolic omnitruncated trigonal-horocyclic tiling  
... 3D hyperbolic x4o3o3o3*a tesselation  
... 4D tesseractic tetracomb  
... 4D hyperbolic order 5 tesseractic tesselation  
... 3D hyperbolic x4o3o4o3*a tesselation  
... 3D hyperbolic order 5 cubic tesselation  
... 3D hyperbolic x4o3o5o3*a tesselation  
... 3D hyperbolic prismated order 5 cubic tesselation, hyperbolic runcinated order 5 cubic tesselation  
... 3D hyperbolic rhombated order 5 cubic tesselation, hyperbolic cantelated order 5 cubic tesselation  
... 3D hyperbolic prismatotruncated order 4 dodecahedral tesselation, hyperbolic runcitruncated order 4 dodecahedral tesselation  
... 2D hyperbolic order 5 square tiling  
... 2D hyperbolic rhombisquarepentagonal tiling  
... 3D hyperbolic truncated order 5 cubic tesselation  
... 3D hyperbolic prismatotruncated order 5 cubical tesselation, hyperbolic runcitruncated order 5 cubical tesselation  
... 3D hyperbolic great rhombated order 5 cubic tesselation, hyperbolic cantitruncated order 5 cubic tesselation  
... 3D hyperbolic omnitruncated order 5 cubical tesselation, hyperbolic omnitruncated order 4 dodecahedral tesselation  
... 2D hyperbolic order 5 truncated square tiling  
... 2D hyperbolic omnitruncated tetrapentagonal tiling  
... 3D x5/2β5o (?) ...
... 3D hyperbolic x5o3o3o3*a tesselation  
... 4D hyperbolic order 5 hecatonicosachoric tesselation  
... 3D hyperbolic x5o3o4o3*a tesselation  
... 3D hyperbolic order 5 dodecahedral tesselation  
... 3D hyperbolic x5o3o5o3*a tesselation  
... 3D hyperbolic prismated order 5 dodecahedral tesselation, hyperbolic runcinated order 5 dodecahedral tesselation  
... 3D hyperbolic rhombated order 5 dodecahedral tesselation, hyperbolic cantelated order 5 dodecahedral tesselation  
... 2D hyperbolic order 5 pentagonal tiling  
... 3D hyperbolic truncated order 5 dodecahedral tesselation  
... 3D hyperbolic prismatotruncated order 5 dodecahedral tesselation, hyperbolic runcitruncated order 5 dodecahedral tesselation  
... 3D hyperbolic great rhombated order 5 dodecahedral tesselation, hyperbolic cantitruncated order 5 dodecahedral tesselation  
... 3D hyperbolic omnitruncated order 5 dodecahedral tesselation  
... 2D hyperbolic order 5 truncated pentagonal tiling  
xhi 4D hexacosihecatonicosachoron, bitruncated hecatonicosachoron, bitruncated hexacosachoron  7.579634
xhidy 4D hexacosihecatonicosadishecatonicosachoron  3
xhip 5D hexacosihecatonicosachoron prism, bitruncated-hecatonicosachoron prism, bitruncated-hexacosachoron prism  7.596108
... 2D hyperbolic order ∞ horocyclic tiling  
... 2D hyperbolic order ∞ horocyclic tiling  
xithi 4D hexacositriakishecatonicosachoron  3.872983
xog 6D hexeractihexacontatetrapeton, tritruncated hexeract, tritruncated hexacross  2.549510
... 4D half of truncated hexadecachoron  1.581139
... 4D bistratic cap of prismatorhombated tesseract, rhombicuboctahedral rotunda  2.370932
... 4D bistratic srid-cap of prahi  8.278950

Z
zee (old: hio) 7D hecatonicosoctaexon, heptacross (β7), aeroexon, heptapetal antiprism  0.707107
zeep 8D hecatonicosoctaexon prism  0.866025

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