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Alphabetical Index of Polytopes

Total count of actually available polytopes: 4052
Total count of contained incidence matrices: 9300
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 explicitly 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 - Y - Z

Acronym Dim. Name Circumradius

0 ... 9

(2,2n)-pap 4D dyad - 2n-gon prismantiprismoid, s2s2s-2n-x, edge-alternated square - 4n-gon duoprism ...
(n,2m)-pap 4D n-gon - 2m-gon prismantiprismoid, s-n-s-2-s-2m-x, edge-alternated 2n-gon - 4m-gon duoprism ...
... 4D mono-augmented trigonal mibdi-laced wedge ...
10,n-dip 4D decagon - n-gon duoprism sqrt[(3+sqrt(5))/2+1/(4 sin2(π/n))]
... 2D hyperbolic [10,8,4,6] tiling with tetragonal Coxeter domain
..., 10Y4-8T-0 4D parallelly oct dissected octet
..., 10Y4-8T-1-alt 4D alternating staggered 1×60°-gyrated 10Y4-8T-0
..., 10Y4-8T-1-hel 4D helical staggered 1×60°-gyrated 10Y4-8T-0
..., 10Y4-8T-2-alt 4D alternating staggered 2×60°-gyrated 10Y4-8T-0
..., 10Y4-8T-2-hel 4D helical staggered 2×60°-gyrated 10Y4-8T-0
..., 10Y4-8T-3 4D 3×60°-gyrated 10Y4-8T-0, trat-mirrored 10Y4-8T-0
12,n-dip 4D dodecagon - n-gon duoprism sqrt[2+sqrt(3)+1/(4 sin2(π/n))]
... 3D triangle hecatonicosahedron
... 3D dodeca-augmented rhombicuboctahedron
... 3D external blend of 12 raded-1-10-5-5 edge facetings
... 4D (1,4)-expanded bited ...
... 4D 1/10-luna of hexacosachoron 1.618034
2,n-dap 4D digon - n-gon duoantiprism, hemiated square - 2n-gon duoprism sqrt[A2/2+B2/(4 sin2(π/2n))]
... 3D external blend of 20 sidtid-0-3-3-3 edge facetings
... 3D 24 face equihedral toroid
... 3D t24-s6-n8 2.431352
... 4D 2affic (?) 1.414214
... 4D 2affidhi (?) 2.236068
... 3D 2cho (?) 1
... 3D 2co (?) 1
... 3D 2co+16{3} (?) 1
... 4D 2cont (?) 3.414214
... 3D 2cube (?) 0.866025
... 4D 2cuhsquah (?)
... 5D 2dah (?) 0.790569
... 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+fix (?) 1.618034
... 4D 2firgaghi (?) 1.070466
... 4D 2firgogishi (?) 0.661585
... 6D 2firl (?) 0.845154
... 4D 2firp (?) 0.774597
... 4D 2firsashi (?) 2.802517
... 5D 2firx (?) 0.816497
... 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 2gidditdy (?) 1.732051
... 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
... 7D 2guhsa (?) 0.707107
... 5D 2hehad (?) 0.707107
... 4D 2hex+8oct (?) 0.707107
... 2D 2hexat (?)
... 4D 2hi (?) 3.702459
... 2D 2hoha (?)
... 5D 2howoh (?) 1.732051
... 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
... 4D 2iddip (?) 1.693527
... 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-p 3D 2n-gonal prism sqrt[1/4+1/(4 sin2(π/2n))]
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))]
... 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 pentagonal butterfly wedge, blend of 2 pentagonal pyramids, half of blend of 2 pentagonal antiprisms 0.951057
... 3D 2pip (?), decagonal prism with winding number 2 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 2ratho (?) 1
... 5D 2rhohid (?) 1
... 4D 2rico (?) 1.732051
... 4D 2rico+64{6}+128{3} (?) 1.732051
... 4D 2rico+64{6}+192{3} (?) 1.732051
... 4D 2ridditdy (?) 1.732051
... 4D 2rit+64tet (?) 1.224745
... 2D 2srothat (?)
... 4D 2rox (?) 3.077684
... 4D 2rox+1440{5}+2400{3} (?) 3.077684
... 4D 2rox+sophi (?) 3.077684
... 4D 2sadtifady (?) 2.288246
... 3D 2seihid (?) 1.618034
... 4D 2sidditdy (?) 1.732051
... 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
2sophip 5D 2sophi prism 3.118034
... 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
... 4D 2tah (?) 2.121320
... 4D 2tes (?) 1
... 3D 2tet (?) 0.612372
... 3D 2thah (?) 0.707107
... 4D 2thahp (?) 0.866025
... 2D 2that (?)
... 2D 2that+∞{3} (?)
... 4D 2thex (?) 1.581139
... 4D 2tho (?) 0.707107
... 4D 2tho+24{4} (?) 0.707107
... 6D 2thox (?) 0.707107
... 3D 2ti (?) 2.478019
... 3D 2tic (?) 1.778824
... 3D 2tid (?) 2.969449
... 3D 2tiggy (?) 1.053292
... 3D 2tigid (?) 1.876844
... 4D 2titho (?) 1.581139
... 2D 2toxat (?)
... 3D 2trip (?), hexagonal prism with winding number 2 0.763763
... 3D 2tut (?) 1.172604
... 4D 2xhi (?) 7.579634
... 4D 2/10-luna of hexacosachoron 1.618034
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 general variant of triddap sqrt[(a2+b2)/3]
... 3D triaconta-augmented rhombicosidodeahedron ...
... 3D 32 face equihedral toroid
... 2D hyperbolic [(33,4)4] tiling
... 3D triangle triacontahexahedron
..., {3} || gybef 4D {3} || gyrobifastegium ...
... 3D 3doe (?) 1.401259
... 4D 3doe-1pap-10mibdi-10teddi-diminished ex 1.618034
... 4D 3ex+2fix+gaghi (?) 1.618034
... 4D 3ex+fix (?) 1.618034
... 3D 3gidtid (?) 0.866025
... 3D 3gissid (?) 0.535233
... 3D 3ike+3gad (?), 3cid (?) 0.951057
... 3D 3ike+gad (?) 0.951057
... 4D 3pen (?) 0.632456
..., 3Q3-S3-2P6-2P3-gyro 3D parallelly that dissected, elongated rich
..., 3Q3-S3-2P6-2P3-ortho 3D parallelly that dissected, elongated gyrich
..., 3Q4-T-2P8-P4 4D parallelly sirco dissected ratoh
... 4D 3rasishi (?) 2.802517
... 3D 3sidtid (?) 0.866025
... 4D 3sishi (?) 0.809017
... 3D 3sissid+gike (?) 0.587785
... 4D three squaf blend, "thah-squares star" atop cube 0.879465
... 4D three squippyp blend, "coord-axes edge star" atop cube 0.866025
... 3D 3tet (?) 0.612372
... 4D three tisdip blend, "coord-planes squares star" atop cube 0.912871
... 4D 3/10-luna of hexacosachoron 1.618034
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 sqrt[1/2+1/(4 sin2(π/n))+1/(4 sin2(π/m))]
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))]
... 2D hyperbolic [4,6,6,∞] tiling with tetragonal Coxeter domain 0.707107 i
... 4D tetracontadisdiminished ex 1.618034
... 4D tetracontadisdiminished sidpixhi 5.236068
... 4D 4D corner hypercubera 1
..., {4} || perp {4} 5D (degenerate) square atop fully orthogonal square, square disphenoid ∞   i.e. flat in euclidean space
... 3D 4ike+2gad (?) 0.951057
... 3D 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
... 4D 4/10-luna of hexacosachoron 1.618034
... 3D Leonardo polyhedron of type {4,5;19}
... 3D Leonardo polyhedron of type {4,5;31}
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))]
..., {5} || perp {5/2} 5D (degenerate) pentagon atop fully perpendicular pentagram ∞   i.e. flat in euclidean space
..., K-4.146 4D pentagon - pentagonal-rotunda wedge, {5} || pero 3.077684
... 4D pentadiminished 2/10-luna of hexacosachoron 1.618034
..., {5} || gyro pedip 5D (degenerate) pentagon atop gyrated pedip ∞   i.e. flat in euclidean space
... 3D 5ike+gad (?) 0.951057
..., 5Y4-3T-3Q3-T3 4D ...
..., 5Y4-4T-4P4 3D elongated 10Y4-8T-0
..., 5Y4-4T-6P3-sq-para 3D para-staggered shear-elongated 10Y4-8T-0
..., 5Y4-4T-6P3-sq-skew 3D skew-staggered shear-elongated 10Y4-8T-0
..., 5Y4-4T-6P3-tri-0 4D trat-elongated 10Y4-8T-0
..., 5Y4-4T-6P3-tri-1-alt 4D trat-elongated 10Y4-8T-1-alt
..., 5Y4-4T-6P3-tri-1-hel 4D trat-elongated 10Y4-8T-1-hel
..., 5Y4-4T-6P3-tri-2-alt 4D trat-elongated 10Y4-8T-2-alt
..., 5Y4-4T-6P3-tri-2-hel 4D trat-elongated 10Y4-8T-2-hel
..., 5Y4-4T-6P3-tri-3 4D trat-elongated 10Y4-8T-3
... 3D Leonardo polyhedron of type {5,4;13}
6,n-dip 4D hexagon - n-gonal duoprism sqrt[1+1/(4 sin2(π/n))]
... 3D 6doe (?) 1.401259
... 3D 6gissid (?) 0.535233
... 3D squippy-teddi-G3 toroid ...
..., 6Q3-2S3-gyro 3D parallelly that dissected rich
..., 6Q3-2S3-ortho 3D (un)gyrated 6Q3-2S3-gyro
..., 6Q4-2T 4D parallelly squobcu dissected pacratoh
... 4D 6tes (?) 1
... 3D 6tet (?) 0.612372
... 4D general 7-2-stepprism sqrt(A2+B2)
8,n-dip 4D octagon - n-gonal duoprism sqrt[(2+sqrt(2))/2+1/(4 sin2(π/n))]


... 3D a3b3c, general variation of truncated octahedron sqrt[(3a2+4b2+3c2+4ab+2ac+4bc)/8]
... 3D a3b4c, general variation of great rhombicuboctahedron sqrt[2a2+4b2+3c2+4ab+(2ac+4bc)sqrt(2)]/2
... 3D a3b5c, general variation of great rhombicosidodecahedron sqrt[(f+2)a2+4(f+1)ab+2(2f+1)ac+4(f+1)b2+4(2f+1)bc+3(f+1)c2]/2
... 4D triangular duoexpandoprism sqrt[(a2+3b2)/3]
... 4D terminally chamfered hexadecachoron
... 4D chamfered hexadecachoron
... 4D tetracontoctachoron-derived Gévay polychoron ...
addasi 3D altered disnub icosahedron, compound of 20 oct (but not dasi) 0.707107
afdec 4D antifrustic distetracontoctachoron 1.414214
affic 4D antifrustary tetracontoctachoron 1.414214
affidhi 4D antifrustary dishecatonicosachoron 2.236068
affip 4D antifustric prismatochoron, compound of 16 hiddip 1.414214
affixthi 4D antifrustic hexacositrishecatonicosachoron 2.236068
afpox (old: affopix) 4D antifustric prismatohexacosachoron, compound of 60 gippid 2.236068
ahach 3D hyperbolic alternated order 6 cubical honeycomb, hyperbolic snub order 6 cubical honeycomb 0 i
ahexah 3D hyperbolic alternated hexagonal-tiling honeycomb 0.816497 i
... 3D general tetrahedral-octahedral honeycomb variant ao3bo3oa3ob3*a&#zc (but not ao3bo3ob3oa3*a&#zc)
... 3D general tetrahedral-octahedral honeycomb variant ao3bo3ob3oa3*a&#zc (but not ao3bo3oa3ob3*a&#zc)
... 4D aoc3ddd3cao *b3oca&#ze, general variant of prismatorhombisnub icositetrachoron sqrt[(a2+ac+c2+2ad+2cd+2d2)/2]
... 4D aoc3ooo3cao *b3oca&#zd sqrt[(a2+ac+c2)/2]
apech 3D hyperbolic alternated order 5 cubical honeycomb 0.393076 i
aphexah 3D hyperbolic alternated order 5 hexagonal-tiling honeycomb 0.220528 i
apid (alt.: bamid) 4D antiprismatodecachoron, biambodecachoron, triangle based biambodecachoron 0.774597
arie 3D antirhombicosicosahedron, compound of 5 co 1
arsdod depabdirox 4D around-symmetrical dodecadiminishing of deep parabidiminished rox 3.077684
arse aurap 4D around-symmetrically expanded augmented rectified pentachoron
arse biscrahi 4D bistratic icosidodecahedron-first subsegment of small rhombihexacosachoron, around-symmetrically expanded biscrahi 6.073594
arspabd biscrox 4D around-symmetrically parabidiminished bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
arsted biscrox 4D around-symmetrically tridiminished bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
arsted diddidex 4D around-symmetrical tridiminishing of (axial) duo-disdodeca-icosa-diminished hexacosachoron 1.618034
ashexah 3D hyperbolic alternated order 4 hexagonal-tiling honeycomb 0.408248 i
asquat 2D hyperbolic order ∞ square tiling 0 i
atich 3D alternatedly truncated cubic honeycomb
aubautipip 4D augmented biaugmented-triangular-prism prism
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
auteddipe 4D augmented-tridiminished-icosahedron prism ...
autepe 4D augmented tetrahedral prism
autic, J66 3D augmented truncated cube
autid, J68 3D augmented truncated dodecahedron
autip, J49 3D augmented triangular prism
autipip 4D augmented-triangular-prism prism ...
autodip 4D augmented 3-8-duoprism ...
autpen 4D augmented truncated pentachoron ...
autut, J65 3D augmented truncated tetrahedron
auwaco, J87 3D augmented sphenocorona
ax (old: hexe) 6D hexeract, dodecapeton, 6D measure-polytope6), geoex(id) 1.224745
axh 6D hexeractic pentacomb, 6D hypercubical honeycomb6)
azap 2D apeirogonal antiprism
azat 2D hyperbolic order 3 apeirogonal tiling, hyperbolic order 3 horocyclic tiling, hyperbolic truncated order ∞ horocyclic tiling 0.866025 i
azazat 2D hyperbolic order ∞ apeirogonal tiling, hyperbolic order ∞ horocyclic tiling 0 i
aze 1D apeirogon, infinitogon, horogon (esp. when used as tile in hyperbolic geometry)
azip 2D apeirogonal prism
aztrat 2D hyperbolic order ∞ triangular tiling 0 i


bacox 5D biprismatocellihexateron 1
bad 5D biprismatododecateron 0.866025
... 4D vertex figure of biprismatododecateron 0.816497
badhidy (old: buthi) 4D blendic dishecatonicosa-dishecatonicosachoron, compound of tigaghi and quit sishi 2
badohi 4D blendic dishecatonicosachoron 2
bagydrid, J79 3D bigyrate diminished rhombicosidodecahedron 2.232951
bamic (old: apic) 4D biambotetracontoctachoron, antiprismatotetracontoctachoron, triangle based biambotetracontoctachoron 1.732051
bamich 3D biambocubic honeycomb
bapril 6D biprismatorhombated heptapeton, biruncitruncated heptapeton 2.203893
bark 8D birectified diacosipentacontahexazetton 1.224745
barm (old: scram, bram, remak, kram) 6D birectified pentacontitetrapeton, (small centrorhombated pentacontitetrapeton) 2.449490
barn 9D birectified enneract, birectified octadecayotton, Gosset polytope 06,1,1 1.870829
barz (old: drhio) 7D birectified hecatonicosoctaexon 1.224745
batal 6D bitruncated heptapeton 1.647509
batatoh (alt.: cytatoh) 3D bitruncated alternated-cubic honeycomb, bitruncated tetrahedral-octahedral honeycomb, cyclotruncated tetrahedral-octahedral honeycomb, quarter cubic honeycomb
batch 3D bitruncated cubic honeycomb, truncated-octahedral honeycomb, Voronoi complex of body-centered cubic (bcc) lattice
baticot 4D bitruncated icositetrachoric tetracomb, small tetracontaoctachoric tetracomb
batitit 4D bitruncated tesseractic tetracomb
bauautipip 4D biaugmented augmented-triangular-prism prism ...
bauco 3D bi-augmented cuboctahedron, 4fold rhombohedron ...
baucubaike 4D bi-augmented cubaike
baudeca 4D biaugmented decachoron
baupip, J53 3D biaugmented pentagonal prism
bautic, J67 3D biaugmented truncated cube
bautip, J50 3D biaugmented triangular prism
bautipip 4D biaugmented-triangular-prism prism
... 4D BAVFfxoo xFofxFVo3xxFxooxo5xooxFfoV&#zx
bay 8D diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 24,1 1.414214
bayoh 8D diacositetracont-myriaheptachiliadiacosioctaconta-zettic octacomb, Gosset octacomb 25,1
be 8D octadecazetton, enneaenneazetton, bi-enneazetton, quadritruncated enneazetton, equatorial cross-section of (vertex first) q-enne 2
bend 5D biprismatointercepted dodecateron 0.866025
... 4D vertex figure of biprismatointercepted dodecateron 0.816497
berlin (old: shabrilq) 7D birectified pentacontihexahecatonicosihexaexon (small demibirhombated pentacontihexapentacosiheptacontihexaexon) 3.570714
bersa (old: dars) 7D birectified hepteract, Gosset polytope 04,1,1 1.581139
bhidtex 4D bi-hecatonicosidiminished truncated hexacosichoron 4.643523
... 3D cubically-diminished dodecahedron, bi-tetrahedrally-diminished dodecahedron 1.401259
bichon (old: dubatch) 4D bicubical honeycomb, tetragonary disphenoidal honeycomb, bitruncated-cubical-honeycomb dual, Delone complex of body-centered cubic lattice A3*
bicont (old: ducont) 4D bitetracontoctachoron, tetracontoctachoron dual, bi-apiculated icositetrachoron, tetradisphenoidal 288-cell 1.306563
bicotoe 6D bi - (cuboctahedron, truncated octahedron)-duoprism 1.870829
bicypdex (alt.: bicypaugap) 4D bi-cyclopentadiminished hexacosachoron, bi-cyclopentaaugmented great antiprism 1.618034
bicypdrahi 4D (bistratic) bi-cyclopentadiminished rectified hexacosachoron 4.534568
bicypdrox 4D (bistratic) bi-cyclopentadiminished rectified hexacosachoron 3.077684
bicyte ausodip 4D bicyclotetraugmented square-octagon duoprism ...
bicyte gysrit 4D bicyclotetragyrated small rhombitesseract 1.847759
bideca (old: dudeca) 4D bidecachoron, decachoron dual, bi-apiculated pentachoron 0.816497
bidex 4D bi-icositetradiminished hexacosachoron 1.618034
bidhin (alt.: octahex, tetalrap, tetaltet octtric) 5D bidiminished hemipenteract, oct || hex, tet || inverted rap, (tet,dual tet,oct)-trigonic 0.790569
bidoctaco, {4} || co, K-4.28 4D square atop cuboctahedron, bidiminished octaco, square first rotunda of cytau tes 1
bidot 5D bidodecateron, triangular duotegmatic icosateron, triangular duotegmatic alterprism, dodecateron dual 0.790569
bidrap, K-4.8 4D bidiminished rectified pentachoron, antiduowedge, square - tetrahedral wedge, digonal gyrobicupolaic ring, {4} || tet, line || ortho trip 0.774597
bidrappy 5D bidrap pyramid 0.790569
bidsid pixhi 4D bi-icositetra-diminished small disprismatohexacosihecatonicosachoron 5.236068
bidsrip 4D bidiminished small rhombated pentachoron 1.183216
bif 8D diacositetracont-dischiliahectohexaconta-zetton, Gosset polyzetton 14,2 2
bifoh 8D diacositetracont-dischiliahectohexaconta-zettic octacomb, Gosset octacomb 15,2
bilbiro, J91 3D bilunabirotunda
... 4D bilbiro wedge ...
bimtec 4D bimesotruncatotetracontoctachoron sqrt[3a2+4ab sqrt(2)+3b2]
bimted (old: bimtid) 4D bimesotruncatodecachoron sqrt[(3a2+4ab+3b2)/5]
bimteth 3D bimesotruncatotetrahedral honeycomb
bimtich 3D bimesotruncatocubic honeycomb
bipach 3D biprismatocubic honeycomb
bipec 4D biprismatotetracontoctachoron sqrt[a2+ab sqrt(2)+b2]
biped 4D biprismatodecachoron sqrt[(2a2+ab+2b2)/5]
bipgy srit 4D bipara(bi)gyrated small rhombitesseract, pseudo cantellated tesseract 1.847759
birachach 3D hyperbolic birectified alternated order-6 cubic honeycomb, hyperbolic runcic order-6 cubic honeycomb 1.168771 i
birapech 3D hyperbolic birectified alternated order-5 cubic honeycomb, hyperbolic runcic order-5 cubic honeycomb 1.507495 i
birashexah 3D hyperbolic birectified alternated order 4 hexagonal-tiling honeycomb 0.934758 i
birgax 4D bi-icositetra-replinished grand hexacosachoron 0.618034
biscex 4D bistratic vertex-first cap of hexacosachoron 1.618034
bisch 3D bisnub cubic honeycomb
biscpoxic 4D bistratic vertex-first cap of poxic
biscrahi 4D bistratic icosidodecahedron-first cap of rectified hecatonicosachoron 4.534568
biscrox 4D bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
biscsrico 4D bistratic cuboctahedron-first cap of small rhombated icositetrachoron 2.613126
biscsrip 4D bistratic trip-cap of srip, {3}-diminished small rhombated pentachoron 1.183216
bitach 4D bitruncatocubic honeycomb, tegum sum of 2 inverted (x,y)-tichs
bitapech 3D hyperbolic bitruncated alternated order-5 cubic honeycomb, runcicantic order-5 cubic honeycomb 2.850727 i
bitapna 4D bitrigonal antiprismattic enenehexachoro, compound of 8 ico in rico army, compound of 2 kitapna 1
bitdi 3D chiral Weimholt hexahedron, bitrigonally diminished icosahedron, vertex figure of bidex 0.951057
bitec (old: sidwapic) 4D bitruncatotetracontoctachoron, snub disphenic antiprismatotetracontoctachoron, general variant of hull of tastic, tegum sum of 2 inverted (x,y)-ticoes sqrt(3y2+3y+1)
bited (old: sidwapid) 4D bitruncatodecachoron, snub disphenic antiprismatodecachoron, general variant of hull of tisted, tegum sum of 2 inverted (x,y)-tips sqrt[(3y2+3y+2)/5]
bitefa 4D bitegmic hecatontetracontatetrachoron, compound of 12 ico in spic army, compound of 2 kitefa 1
bitem (old: gacram, botam, kobtam) 6D bitruncated pentacontitetrapeton, (great centrorhombated pentacontitetrapeton, heptacontidia-bitruncated pentacontitetrapeton) 4.123106
bitettut (alt.: pabex gee) 6D bi - (tetrahedron, truncated tetrahedron)-duoprism, partially bi-expanded hexacontitetrapeton 1.322876
bithi 4D blendic trishecatonicosachoron 2
bithit 4D bitruncated hexadecachoric tetracomb, bitruncated demitesseractic tetracomb, runcicantic tesseractic tetracomb
bithon 3D bitetrahedral honeycomb
bittin 5D bitruncated penteract 2.549510
bittit 5D bitruncated triacontiditeron, Voronoi cell of lattice D5* 2.121320
bittix (old: dittox) 5D bitruncated hexateron 1.554563
bittixa (old: bittixalbittix) 6D bitruncated-hexateron alterprism, bitruncated-hexateron atop inverted bitruncated-hexateron 1.581139
bittoc 7D bitruncated octaexon 1.713914
bobipyr 3D bowtie bipyramid, crossed-square bipyramid, bowtie (line-)tegum 0.707107
boprag 6D biprismatorhombated hexacontitetrapeton, biruncitruncated hexeract 3.674235
boprax 6D biprismatorhombated hexeract, biruncitruncated hexacross 3.464102
borfy 8D birectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t2(41,2) 2.449490
botag 6D bitruncated hexacontitetrapeton, bitruncated hexacross 2.121320
botajik 6D bitruncated icosiheptaheptacontidipeton 2.943920
botox 6D bitruncated hexeract 2.915476
brade 10D birectified dekeract, birectified icosaxennon, Gosset polytope 07,1,1 2
brag (old: dric) 6D birectified hexacontitetrapeton, Voronoi cell of lattice D6* 1.224745
bragabrox 7D brag atop brox, brag-first rotunda of sez 1.414214
bragasochax 7D brag atop sochax, 2nd subsegment of lin in hax-first orientation 1.322876
brake 10D birectified chilliaicositetraxennon 1.224745
branq (old: dranq) 7D birectified hecatonicosihexapentacosiheptacontihexaexon 1.936492
brav 9D birectified pentacosidodecayotton 1.224745
braxh 6D birectified hexeractic honeycomb
breday 9D birectified decayotton, Gosset polytope 06,2 1.024695
brene 8D birectified enneazetton, Gosset polytope 05,2 1
bricot 4D birectified icositetrachoric tetracomb, birectified demitesseractic tetracomb, runcic tesseractic tetracomb
bril (old: driss) 6D birectified heptapeton, vertex figure of lin, Gosset polytope 03,2 0.925820
brilalspil 7D bril atop inverted spil 1.322876
brilastaf 7D bril atop staf, hop-first subsegment of laq 1
brillip 7D birectified - heptapeton prism 1.052209
brilpy 7D birectified-heptapetonal pyramid, vertex pyramid of pentacontihexahecatonicosihexaexon 1.322876
brinoh 5D birectified penteractic pentacomb
bro 8D birectified octeract, birectified hexadecazetton, Gosset polytopes 05,1,1 1.732051
broc (old: droc) 7D birectified octaexon, duorectified octaexon, vertex figure of bif, Gosset polytope 04,2 0.968246
broca (old: brocalbroc) 8D broc alterprism, broc atop inverted broc, central segment of hocto 1
brox (old: drax) 6D birectified hexeract, Gosset polytope 03,1,1 1.414214
broxa sophax 7D brox atop sophax, hax-first subsegment of rolaq 1.732051
bru 10D birectified hendecaxennon, Gosset polytope 07,2 1.044466
buffy 8D diacositetracont-dischiliahectohexacont-myriaheptachiliadiacosioctaconta-zetton, rectified bif:  t1(12,4), birectified bay:  t2(21,4), tetrarectified fy:  t4(41,2), Gosset polytope 04,2,1 3.872983
... 4D BxxFxfofx3oooxxxFFF3xBxfFxxof *b3xxBxfFfxo&#zx


... 2D c01 of hyperbolic [10,8,4,6] tiling with tetragonal Coxeter domain *
... 2D c0 of hyperbolic [10,8,4,6] tiling with tetragonal Coxeter domain *
cabbix 5D cellibiprismatohexateron 0.866025
... 4D vertex figure of cellibiprismatohexateron 0.816497
cabisch 3D cantic bisnub cubic honeycomb
cadditradid 3D complex (ditrigonary) rhombidodecadodecahedron 0.866025
caddix 5D cellidishexateron 0.866025
... 4D vertex figure of cellidishexateron 0.816497
cagoraht (old: gicaricot) 4D celligreatorhombated hexadecachoric tetracomb (great cellirhombated icositetrachoric tetracomb)
cagral (old: gacral) 6D celligreatorhombated heptapeton, stericantitruncated heptapeton 2.618615
cagratit (old: gicartit) 4D celligreatorhombated tesseractic tetracomb (great cellirhombated tesseractic tetracomb), great rhombitesseractic-prismatotesseractic tetracomb, stericantitruncated tesseractic tetracomb
cagricot (old: gicaroht) 4D celligreatorhombated icositetrachoric tetracomb (great cellirhombated hexadecachoric tetracomb)
cakix 6D celliskewed hexeract 1.581139
capicot 4D celliprismated icositetrachoric tetracomb, great prismatotetracontaoctachoric tetracomb
capirsit 4D celliprismatorhombisnub ico tetracomb
capoht 4D celliprismated demitesseractic tetracomb, tomoicositetrachoric-diprismatotesseractic tetracomb
capotat 4D celliprismated tesseractic tetracomb, tomotesseractic-diprismatotesseractic tetracomb, steritruncated tesseractic tetracomb
cappin 5D celliprismated penteract, steritruncated pentacross 2.423081
cappix (old: happix) 5D celliprismated hexateron, cellitruncated hexateron, hedratoprismated hexateron, steritruncated hexateron 1.632993
cappixa (old: cappixalcappix) 6D cappix alterprism, cappix atop alternate cappix 1.658312
caprohax 6D small celliprismatorhombated hemihexeract, steriruncicantellated demihexeract, pentisteriruncic hexeract 3.278719
capshot 4D celliprismatosnub hex tetracomb
capsthat 4D celliprismatosnub truncated hex tetracomb
capt 5D celliprismated triacontiditeron, steritruncated penteract 2.878460
captal 6D celliprismatotruncated heptapeton, steriruncitruncated heptapeton 2.591194
captatit 4D celliprismatotruncated tesseractic tetracomb, great tomocubic-diprismatotesseractic tetracomb, steriruncitruncated tesseractic tetracomb
capticot 4D celliprismatotruncated icositetrachoric tetracomb, celliprismatotruncated demitesseractic tetracomb
captid (old: hiptid) 5D celliprismatotruncated dodecateron, hedratoprismatotruncated dodecateron, steriruncitruncated hexateron 2.236068
captint 5D celliprismatotruncated penteractitriacontiditeron, steriruncitruncated penteract, steriruncitruncated pentacross 3.701317
captog 6D celliprismatotruncated hexacontitetrapeton, steriruncitruncated hexacross 4.123106
caquitpica 3D cubatiquasitrunciprismated cubatiapeiratic honeycomb
card (old: scard, shard) 5D (small) cellirhombated dodecateron, small hedratorhombated dodecateron, stericantellated hexateron 1.658312
... 4D longer antiduowedge, vertex figure of cellirhombated dodecateron 0.953463
cardip 6D cellirhombated-dodecateron prism 1.732051
caricot (old: scaricot) 4D (small) cellirhombated icositetrachoric tetracomb, great disicositetrachoric tetracomb
carnit (old: scarnit) 5D (small) cellirhombated penteractitriacontiditeron, stericantellated penteract, stericantellated pentacross 2.660531
cartit (old: scartit) 4D (small) cellirhombated tesseractic tetracomb, small rhombitesseractic-prismatotesseractic tetracomb, stericantellated tesseractic tetracomb
casch 3D cantic snub cubic honeycomb
catal 6D cellitruncated heptapeton, steritruncated heptapeton 1.851640
catax 6D cellitruncated hexeract 3.456841
cathix 6D cellitruncated hemihexeract, steritruncated demihexeract, penticantic hexeract 2.598076
catjak (old: detidjik) 6D cellitruncated icosiheptapeton (disteridisicosiheptaheptacontidipeton) 2.581989
catog 6D cellitruncated hexacontitetrapeton, steritruncated hexacross 2.828427
cha 2D complexihexaapeirogonal tiling
chad 5D cellihemidodecateron 1
... 4D vertex figure of cellihemidodecateron 0.866025
chata 2D complexitrihexaapeirogonal tiling
chatit 2D complexitrihexagonal tiling
chexah 3D hyperbolic cubic-hexagonal-tiling honeycomb, bitruncated order 4 hexagonal-tiling honeycomb, bitruncated order 6 cubic honeycomb 1.870829 i
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 honeycomb3), Voronoi complex of primitive cubical lattice, Delone complex of primitive cubical lattice
... 3D cubically truncated rhombic dodecahedral honeycomb
chont 4D hyperbolic (order 3) cubic-honeycomb tetracomb 0.5 i
chope 4D cubohemioctahedron prism 1.118034
chopy, pt || cho 4D (degenerate) cubohemioctahedron pyramid ∞   i.e. flat in euclidean space
cid 3D small complex icosidodecahedron 0.951057
ciddoh 3D hyperbolic cubic-dodecahedral honeycomb, hyperbolic bitruncated order 5 cubic honeycomb, hyperbolic bitruncated order 4 dodecahedral honeycomb 2.443795 i
co   (alt.: ratet – old: ratit, rotet) 3D cuboctahedron, (small) rhombitetratetrahedron, rectified cube, rectified octahedron, cantellated tetrahedron, expanded tetrahedron, trigonal gyrobicupola, vertex figure of octet, lattice A3 contact polytope (span of its roots), lattice B3 contact polytope (span of its small roots) 1
... 3D (ico derived) tridpy variant, o3m4o3o cell
... 3D (tes derived) tridpy variant, o4m3o3o cell
... 3D (hi derived) tridpy variant, o5m3o3o cell
... 3D (ex derived) pedpy variant, o3m3o5o cell
... 4D augmented axially-octahedral ursachoron ofxo3xooo4oooo&#xt ...
coa tutcup, co || tutcup 5D co atop tuta 1.224745
coaescu, co || escu, K-4.62 4D cuboctahedron atop elongated square cupola 1.447009
coaop, co || op, K-4.63 4D cuboctahedron atop octagonal-prism 1.447009
coarit 5D co atop rit 1.224745
coasirco, co || sirco, K-4.61 4D cuboctahedron atop small rhombicuboctahedron 1.447009
coatic, K-4.129 4D cuboctahedron atop truncated cube, cuboctahedral cap of small rhombated icositetrachoron 2.613126
coaticbicu 4D coatic bicupola
coatobcu 4D coatoe bicupola, equatorially contracted rectified icositetrachoron
coatoe, co || toe, K-4.95 4D cuboctahedron atop truncated octahedron, cuboctahedral cap of rectified icosatetrachoron 1.732051
coatope (alt.: cotoe totric) 5D co atop tope, (co,toe,toe)-trigonic, co-first cap of sibrant at (rico,rico)-margin 2.236068
coatotum 4D bistratic co-cap of prip, tut-diminished prip, Stott expansion of tip, (co,toe)-based tutsachoron, (co,toe)-based tutism 1.612452
coatut, co || tut, K-4.48 4D cuboctahedron atop truncated tetrahedron, cuboctahedral cap of small rhombated pentachoron 1.183216
coatuttip 5D co atop tuttip, co-first cap of sarx 1.290994
coatutu 4D expanded axially-tetrahedral ursachoron, (co,tut)-based ursulate 1.328131
cocube 6D cuboctahedron-cube duoprism 1.322876
codify (alt.: trihexdip) 8D tetracontaocta-diminished dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, tegum sum of 3 pairwise bigyrated hexadecachoron duoprisms, tri-hexadecachoron-duoprism 1
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 (old: gocrax, goharx) 5D celligreatorhombated hexateron (great cellirhombated hexateron, great hedratorhombated hexateron), stericanitruncated hexateron 2.327373
cograxa (old: cograxalcograx) 6D cograx alterprism, cograx atop alternate cograx 2.345208
cogrin (old: gocrin) 5D celligreatorhombated penteract (great cellirhombated penteract), stericantitruncated penteract 3.988340
cohon 3D hyperbolic x4o3o4o3*a tesselation, cubic-octahedral honeycomb 0.377964 i
coid 6D cuboctahedron-icosidodecahedron duoprism 1.902113
coike 6D cuboctahedron-icosahedron duoprism 1.380039
cont 4D tetracontoctachoron, octagonny, bitruncated icositetrachoron 3.414214
..., cont || grico 5D (degenerate) cont atop grico ∞   i.e. flat in euclidean space
contip 5D tetracontoctachoron prism, bitruncated-icositetrachoron prism 3.450631
contit 4D tetracontoctachoric tetracomb, lamina-truncate of hyperbolic o3x4x3o8o tesselation 0.594604 i
copal 6D celliprismated heptapeton, steriruncinated heptapeton 1.963961
copatoe (alt.: coco totric) 5D cope atop toe, (co,co,toe)-trigonic 1.870829
copatope 5D cope atop tope, coatoe prism, cope-first monostratic cap of ricope 1.802776
copatut 5D cope atop tut 1.190238
cope, K-4.43 4D cuboctahedron prism 1.118034
copea tuttip 5D cope atop tuttip, cope-first monostratic cap of srippip 1.284523
copeatope 5D cope atop tope, coatoe-prism 1.802776
copen 7D cuboctahedron - pentachoron duoprism 1.183216
cophix 6D small celliprismated hemihexeract, steriruncinated demihexeract, pentisteric hexeract 2.179449
copog 6D celliprismated hexacontitetrapeton, steriruncinated hexacross 3.316625
copox 6D celliprismated hexeract, steriruncinated hexeract 3.087966
copril 6D celliprismatorhombated heptapeton, steriruncicantellated heptapeton 2.725541
copy, pt || co 4D (degenerate) cuboctahedron pyramid ∞   i.e. flat in euclidean space
coqroc 4D tetracontoctiquasirhombated tetracontoctachoron 1.325654
cosa 2D complexisquariapeirogonal tiling
cotco 3D cuboctatruncated cuboctahedron, cubitruncated cuboctahedron 1.322876
cotcope 4D cuboctatruncated-cuboctahedron prism, cubitruncated-cuboctahedron prism 1.414214
cotoe 6D cuboctahedron - truncated-octahedron duoprism 1.870829
cotut totric 5D (co,tut,toe)-trigonic 1.732051
crag (old: scrag) 6D cellirhombated hexacontitetrapeton, 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
crohax (old: scrohax) 6D (small) cellirhombated hemihexeract, pentiruncinated demihexeract, pentiruncic hexeract 2.397916
cubaco, cube || co, K-4.35 4D cube atop cuboctahedron, cubical cupola 1.031784
cubaike, cube || ike, K-4.21 4D cube atop icosahedron 1
cubaope 5D cube atop octahedral-prism 0.895420
cubasc 5D (degenerate) cubical scalene, line atop fully orthogonal cube ∞   i.e. flat in euclidean space
cubasirco, cube || sirco, K-4.71 4D cube atop small rhombicuboctahedron, cubical cap of small disprismatotesseractihexadecachoron 1.485633
cubasquasc 5D cube atop squasc 1
cubatic, cube || tic 4D (degenerate) cube atop truncated cube ∞   i.e. flat in euclidean space
cube (alt: squip) 3D cube, hexahedron, 3D measure-polytope3), geochor(id), square prism, triangular antitegum, Voronoi cell of primitive cubical lattice, Delone cell of primitive cubical lattice, terminally chamfered tetrahedron, surtegmated tetrahedron 0.866025
... 4D pyrithohedral cube-doe-bilbiro honeycomb
... 3D cubically truncated rhombic dodecahedron, chamfered octahedron
cubedoe 6D cube-dodecahedron duoprism 1.647278
cubesirco 6D cube-small-rhombicuboctahedron duoprism 1.645329
cubhex 7D cube-hexadecachoron duoprism 1.118034
cubid 6D cube-icosidodecahedron duoprism 1.835220
cubike 6D cube-icosahedron duoprism 1.286277
cubpen 7D cube-pentachoron duoprism 1.072381
cubpy, K-4.26 4D cubical pyramid, vertex-pyramid of ico 1
cubpyp 5D cubpy prism 1.118034
cuhsquah 4D cubihemisquare honeycomb, cell-alternated cubical honeycomb
cute (old: cubdipy) 4D cubical (line-)tegum, cubical bipyramid ...
cutep 5D cubical-tegum prism, prism of tepepy ...
cutpica 3D cubatitrunciprismated cubatiapeiratic honeycomb
cydadex 4D cyclical decadiminishing of ex 1.618034
cyloh 6D cycloheptapetic honeycomb, Delone complex of lattice A6
cypit 4D cyclopentachoric tetracomb, pentachoric-dispentachoric tetracomb, Delone complex of lattice A4
cypropit 5D cycloprismatorhombated pentachoric tetrachomb, great prismatodispentachoric tetracomb, runcitruncated pentachoric tetrachomb
cytacoh 3D hyperbolic o3x4x3o4*a tesselation, cyclotruncated cubic-octahedral honeycomb 0.944355 i
cytau tes 4D cyclotetraaugmented tesseract, cyclotetradiminished icositetrachoron 1
cytaxh 5D cyclotruncated hexateric honeycomb
cyte cubau sodip 4D cyclotetra cubaugmented sodip ...
cyte gysrit 4D cyclotetragyrated small rhombitesseract 1.847759
cyte opau sodip 4D cyclotetra octagon-prism-augmented sodip ...
cyted spic 4D cyclotetradiminished small prismatotetracontoctachoron 1.847759
cyted srit 4D cyclotetradiminished small rhombitesseract, cyclotetraugmented octagonal duoprism 1.847759
cythdex 4D cyclical triangularily-hexagonally diminished hexacosachoron 1.618034
cyticth 3D hyperbolic x3o3o3x4*a tesselation, cyclotruncated cubic-tetrahedral honeycomb 1.553774 i
cytid rico 4D cyclotridiminished rectified-icositetrachoron, metatridiminished rectified-icositetrachoron 1.732051
cytid srico 4D cyclotridiminished small rhombated icositetrachoron 2.613126
cytitoh 3D hyperbolic o3x3x3o4*a tesselation, cyclotruncated tetrahedral-octahedral honeycomb 1.189207 i
cytitoh 3D hyperbolic x3x3o3o4*a tesselation, cyclotruncated tetrahedral-octahedral honeycomb 1.391625 i
cytoch 3D hyperbolic x3x4o3o4*a tesselation, cyclotruncated octahedral-cubic honeycomb 1 i
cytopit 4D cyclotruncated pentachoric tetracomb, small truncated-pentachoric tetracomb
cyxh 5D cyclohexateric honeycomb, Delone complex of lattice A5


... 3D d3o3x, variation of cuboctahedron 2.661453
dacox 5D dodecacellihexateron 1
dadjak 6D decadiminishing of jak 0.816497
dah 5D dishexadecateron, vertex figure of kaje 0.790569
dahi 4D dishecatonicosachoron 3
dahiquatady 4D dishecatonicosiquasitruncated dishecatonicosachoron 4.134026
dahitady 4D dishecatonicositruncated dishecatonicosachoron 2.431014
daj (old: dije) 6D disicosiheptapeton, vertex figure of nal 0.816497
damibdrox 4D deep metabidiminished rectified hexacosachoron 3.077684
danbitot 5D dispenteractibitruncated triacontaditeron 1.802776
danpit 5D dispenteractiprismated triacontaditeron 2.5
dap, 10-ap 3D decagonal antiprism 1.674505
dapabdi poxic (alt.: hau sircope) 4D deep parabidiminished poxic, hexa-augmented sircope
dapabdi spic 4D deep parabidiminished small prismatotetracontoctachoron, hexa-gyro-augmented truncated-cube prism 1.847759
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
daso (old: doso) 3D disnub octahedron, compound of 8 oct 0.707107
dastop 4D dodeca-star toroidi-prism 0.707107
... 4D dastop + 2x 2did (?) 0.707107
datap 4D ditetrahedronary prismatochoron, compound of 100 hiddip 1.414214
datcathi 4D ditetrahedronary coincidic trishecatonicosachoron 1.414214
datha 3D ditetratihemiapeiratic honeycomb
dattady 4D ditetrahedronary dishecatonicosachoron 1.414214
dattathi 4D ditetrahedronary trishecatonicosachoron 1.414214
dawci, J90 3D disphenocingulum
day 9D decayotton, 9D simplex9), pyroxenn(id), enneazettal pyramid, vertex figure of ux, Gosset polytope 08 0.670820
... 4D DCBAVFfxoo xxxFofxFVo3xoxxFxooxo5ofxooxFfoV&#zx
deca 4D decachoron, bitruncated pentachoron, equatorial cross-section of (vertex first) q-pent 1.414214
deca agrip 5D deca atop grip, deca-first cap of pirx 1.914854
deca aprip 5D deca atop prip 1.620185
..., deca || gippid 5D (degenerate) deca atop gippid ∞   i.e. flat in euclidean space
decap 5D decachoron prism 1.5
dedip (old: dadip) 4D decagon-decagon duoprism 2.288246
degpy, 10/3-pyr 3D decagrammic pyramid 0.636010
dehad 5D dodecahemidodecateron 1
deker 10D dekeract, icosaxennon, 10D measure-polytope10), geodak(id) 1.581139
depat 2D hyperbolic order 10 pentagonal tiling 0.206652 i
desided 3D disnub icosidodecadodecahedron, compound of 2 sided 1.126898
dibhid 5D dodecabiprismatohemidodecateron 1
... 4D vertex figure of dodecabiprismatohemidodecateron 0.866025
did 3D dodecadodecahedron, great dodecadodecahedron 1
... 3D did+sidhei+gidhei (?) 1
... 4D did atop 3doe (?) 1.414214
dida raded, did || raded 4D dodecadodecahedron atop rhombidodecadodecahedron 1.336349
didadoe 4D did atop doe 1.414214
didamibdrox 4D diminished deep metabidiminished rectified hexacosachoron 3.077684
diddatigid, did || tigid 4D dodecadodecahedron atop truncated great dodecahedron, did-first cap of sirfix 4.352502
diddip 4D dodecadodecahedron prism 1.118034
diddoh 3D hyperbolic disdodecahedral honeycomb, hyperbolic bitruncated order 5 dodecahedral honeycomb 1.798907 i
didhi 4D dodecahedronary dishecatonicosachoron 1
didpy, pt || did 4D (degenerate) did pyramid ∞   i.e. flat in euclidean space
dih 3D hyperbolic bitruncated order 3 icosahedral honeycomb, hyperbolic disicosahedral honeycomb 2.910693 i
dihin (alt.: penalrap) 5D (vertex-)diminished hemipenteract, pentachoron atop alternate rectified pentachoron 0.790569
dihipap 4D dyad-hexagonal prismantiprismoid, s2s2s6x, edge-alternated sitwadip ...
dijak (alt.: taccahin) 6D (mono-)diminished icosiheptaheptacontidipeton, tac atop hin 0.816497
... 4D mono-diminished vertex-first rotunda of hexacosachoron 1.618034
... 4D diminished thawro-wedged 1/6-luna of hexacosachoron, {6},ike-wedge, ike,thawro,thawro-multiwedge ...
dip (old: dep) 3D decagonal prism 1.693527
dippit 4D disprismatotesseract 1.485633
diquitdi 4D disicositetraquasitruncated disicositetrachoron 1.608038
dird 3D dirhimbidodecahedron, compound of 12 pip 0.986715
dirico 4D diminished rectified icosatetrachoron 1.732051
dirid, J76 3D diminished rhombicosidodecahedron 2.232951
dis 3D disnubihedron, compound of 12 tet 0.612372
disco 3D disnub cuboctahedron, compound of 2 snic
disdi 4D disnub disicositetrachoron 1
disdi-verf 3D vertex figure of disnub disicositetrachoron 0.866025
disdid 3D disnub dodecadodecahedron, compound of 2 siddid
dish 3D hyperbolic dissquare-tiling honeycomb, hyperbolic bitruncated order-4 square tiling honeycomb 1.553774 i
dispap 4D dyad-square prismantiprismoid, s2s2s4x, edge-alternated sodip ...
dissid 3D disnub icosidodecahedron, compound of 2 snid
dissit 3D disnub tetrahedron, compound of 4 oct 0.707107
distadedip 4D decagon-decagram duoprism 1.732051
ditatha 2D ditrigonary trigonal hemiapeirogonal tesselation, alternate triangular tiling
ditdap 4D digon-triangle duoantiprism, hemiated shiddip sqrt[A2/2+B2]
ditdi 4D disicositetratruncated disicositetrachoron 2.326846
ditdid 3D ditrigonal dodecadodecahedron, vertex figure of dittady 0.866025
... 3D ditdid+gidtid (?) 0.866025
ditdidap 4D ditrigonary-dodecadodecahedron antiprism 0.951057
ditdiddip 4D ditrigonal-dodecadodecahedron prism 1
ditetaf (alt.: traltepe, penaltrip) 5D diminished tetaf, triangle atop gyrated tepe, pen atop gyrated trip, (edge,perp triangle,gyro trip)-trigonic 0.790569
dithix 4D ditrigonary hecatonicosihexacosichoron 1.732051
ditoh 3D ditetrahedral-octahedral honeycomb
ditra 3D ditriangular trapezoprism sqrt[(a+b)2+c2]/2
ditrah 3D hyperbolic distriangular-tiling honeycomb 2.075910 i
dittadphi 4D ditetrahedronary disprismatohecatonicosachoron 1.414214
dittady 4D ditrigonary dishecatonicosachoron 1
... 4D dittady+dox (?) 1
dittafady 4D ditetrahedrofissary dishecatonicosachoron 1.414214
dittec 3D ditruncated cube, truncated truncated cube, expanded ambiated tic sqrt[(7+4 sqrt(2))y2+(24+16 sqrt(2))y+(24+16 sqrt(2))]/2
dittet 3D ditruncated tetrahedron, truncated truncated tetrahedron, expanded ambiated tut sqrt[(11y2+36y+36)/8]
ditti 3D ditrigonal icosahedron, vertex figure of idhi 1.401259
dittoe 3D ditruncated octahedron, truncated truncated octahedron, expanded ambiated toe sqrt[(5y2+9y sqrt(2)+9)/2]
ditusna 4D disicosahedronary tetrasnubbachoron, compound of 20 ex in rahi army, compound of 2 kidisna 1.618034
doa pabidrid, doe || pabidrid, K-4.155 4D dodecahedron atop parabidiminished rhombicosidodecahedron 5.236068
doaid, doe || id, K-4.77 4D dodecahedron atop icosidodecahedron, dodecahedral cupola 1.618034
doasrid, doe || srid, K-4.152 4D dodecahedron atop small rhombicosidodecahedron, dodecahedral cap of small disprismatohexacosihecatonicosachoron 5.236068
doasridaid 4D doe atop srid atop id
doc 4D distetracontoctachoron 2.449490
dod honho 4D disoctidishemioctintercepted hemioctachoron 1
dodoe 6D dodecahedron-dodecahedron duoprism (or simply: dodecahedral duoprism) 1.981679
doe 3D dodecahedron, cosmohedron, Goldberg polyhedron GP(1,0) 1.401259
... 4D rico-derived polychoron incorporating does 2.802517
... 3D dodecahedrically truncated rhombic triacontahedron, chamfered icosahedron
..., doe || 6-dim-id || f-ike || doe 4D axially-pyritohedral (2,24,12,6)-diminishing of ex 1.618034
..., doe || ipe 5D (degenerate) doe atop ipe ∞   i.e. flat in euclidean space
doehon 3D hyperbolic order 4 dodecahedral honeycomb 0.899454 i
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
dot (alt.: rapa) 5D dodecateron, birectified hexateron, equatorial cross-section of (vertex first) 1/q-ax, rap alterprism, rap atop inverted rap, vertex figure of mo, Gosset polytope 02,2 0.866025
dotet 6D (line,)dodecateron-tegum, dodecateron dipyramid
dotip 6D dodecateron prism 1
dotpy 6D dodecateron pyramid, vertex pyramid of mo 1
dottascad 6D dodecateron atop small cellated dodecateron 1
dottasibrid 6D dot atop sibrid, dot-first cap of ram 1.732051
dottaspix 6D dodecateron atop small prismated hexateron, dot-first cap of birectified hexacontitetrapeton 1.224745
dotum 6D dot-first bistratic cap of tim, dot-based tutsatope, dot-based tutism 2.645751
dox (old: gex) 4D dodecahedronary hexacosachoron (great hexacosachoron), compound of 25 ico 1
dri 3D dirhombicosahedron, compound of 20 trip 0.763763
dritit (old: sipstar) 3D disrhombitritrihedron, "square-pentagon-pentagram(star)-thingy", vertex figure of retroantiprismatosnub disicositetrachoron, edge faceting sidtid-3-0-6-3-b 0.866025
dro 3D dirhombioctahedron, compound of 8 trip 0.763763
dudsi 3D dual of D-stellation of icosahedron, D-faceting of dodecahedron, vertex figure of paphicki 0.866025
duhd 4D decahemidecachoron, copyropodichoron 1
duspid 4D small-prismated-decachoron dual, crystalic icosachoron
dutip 4D truncated-pentachoron dual, apiculated pentachoron, tetrakis pentachoron
... 5D point || hex || gyro hex, Dutour polyteron type A
... 7D point || pseudo hax || gee, Dutour polyexon type A
... 8D point || pseudo hesa || zee, Dutour polyzetton type A
dygytpuf, K-4.13 4D dyadic gyrotegmipucofastegium, 3-prism atop reflected ortho 3-prism 0.866025


e 3D icosiicosahedron, compound of 10 tet 0.612372
ebauco 3D elongated bi-augmented cuboctahedron, 4fold elongated rhombohedron, bi-augmented pexco ...
ebdah hithi 4D exoblendic dishemihecatonicostrishecatonicosachoron 2
ebuthi 4D exotic blendic tetrishecatonicosachoron 2
ecubedpy 4D elongated cubical bipyramid, hexadiminished icositetrachoron 1
ecubpy 4D elongated cubical pyramid, heptadiminished icositetrachoron 1
ecypit 5D elongated cyclopentachoric tetracomb, elongated pentachoric-dispentachoric tetracomb
editetaf 5D edge-diminished tetaf, (top base) edge-diminishing of tet-first rotunda of hin 0.790569
editoh 3D elongated ditetrahedral-octahedral honeycomb
efdit xithi 4D exofissary ditrigonal hexacositrishecatonicosachoron 1.732051
eikedpy 4D elongated icosahedral bipyramid
eikepy 4D elongated icosahedral pyramid
ek 8D diacosipentacontahexazetton, octacross8), aeroyott(id), octaexal antiprism, vertex figure of vee, (one of the) Delone cell(s) of lattice E8, Gosset polytope 51,1, lattice C8 contact polytope (span of its small roots) 0.707107
ekip 9D diacosipentacontahexazetton prism, vertex figure of rake 0.866025
endjak 6D ennea-diminished jak 0.816497
ene 8D enneazetton, 8D simplex8), pyroyott(id), octaexal pyramid, vertex figure of day, (one of the) Delone cell(s) of lattice E8, Gosset polytope 07 0.666667
enep 9D enneazetton prism, vertex figure of ru 0.833333
enne 9D enneract, octadecayotton, 9D measure-polytope9), geoxenn(id) 1.5
eocta sirco 4D elongated octasirco ...
eoctaco 4D elongated octaco
eoctatut 4D elongated octatut
eoctpy 4D elongated octahedral pyramid, diminished pex hex
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
epipdapy 4D elongated pentagonal-prismatic bipyramid ...
epippy 4D elongated pentagonal-prismatic pyramid ...
epobcu, J38 3D elongated pentagonal orthobicupola
epobro, J42 3D elongated pentagonal orthobirotunda
epocuro, J40 3D elongated pentagonal orthocupolarotunda
epro, J21 3D elongated pentagonal rotunda
erich 3D parallelly that elongated rich
esch 3D edge-snub cubic honeycomb
escu, J19 3D elongated square cupola, diminished small rhombicuboctahedron 1.398966
escupe, K-4.68 4D elongated-square-cupola prism 1.485633
esircoatic 4D elongated sircoatic, diminished srit
esquidpy, J15 3D elongated square dipyramid
esquidpyp 4D elongated square dipyramid prism, J15 prism ...
esquigybcu, J37 3D elongated square gyrobicupola, pseudorhombicuboctahedron, Miller's solid 1.398966
esquippidpy 4D elongated square-pyramidal bipyramid, esquidpy-wedge, half of partially (mono-)expanded hex
esquipuf 4D elongated square pucofastegium, square atop octagon-prism atop octagon-prism
esquipy, J8 3D elongated square pyramid
esquipyp 4D elongated square-pyramidal-prism, elongated-square-pyramid prism, external blend of square-pyramidal prism and tesseract
etcu, J18 3D elongated triangular cupola
etedpy 4D elongated tetrahedral bipyramid
etepe 4D elongated tetrahedral-prism, elongated-triangular-pyramid prism, external blend of tetrahedral prism and (triangle,square)-duoprism
etepy 4D elongated tetrahedral pyramid
etetaco 4D elongated tetaco ...
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
etripdapy 4D elongated trigonal-prismatic bipyramid ...
etrippy 4D elongated trigonal-prismatic pyramid ...
etripuf 4D elongated trigonal pucofastegium ...
etripy, J7 3D elongated triangular pyramid
etutatoe 4D elongated tutatoe ...
... 4D ex+fix (?) 1.618034
... 4D ex+gohi+120id (?) 1.618034
ex, pT 4D hexacosachoron, 600-cell, hydrochoron, tetraplex, polytetrahedron 1.618034
... 3D expanded dodeca-augmented great rhombicuboctahedron ...
exip 5D hexacosachoron prism 1.693527
exrad 3D expanded rhombic dodecahedron
exrhote 3D expanded rhombic triacontahedron
extoh 3D expanded octahedral-tetrahedral honeycomb


... 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
... 4D FAxoAFxoxx3FxAAoxFxox oxofofxFof3ooxofxfoFf&#zx
... 4D FAxoFFxoox3foFFxofoxo oxofofxFof3ooxofxfoFf&#zx
... 4D FAxoFFxxox3foFFxofxxo oxofofxFof3ooxofxfoFf&#zx
... 4D FAxoFFxxox3foFFxofxxo xoxFxFoAxF3oxxofxFoFf&#zx
fe 6D tetradecapeton, tritruncated heptapeton, equatorial cross-section of (vertex first) q-hept 1.732051
fenandoh 5D facetospinopenteractidishexadecateron 1.274755
... 4D vertex figure of facetospinopenteractidishexadecateron 0.919866
... 4D Ffxo oxFx3xfox5xoxx&#zx
... 4D Ffxo xofo3ofox5xoxx&#zx
fib 8D dischiliahectohexaconta-diacositetraconta-zetton 1
fidoh 5D facetoinverted decahexadecateron 1.274755
... 4D vertex figure of facetoinverted decahexadecateron 0.919866
firgaghi 4D faceted rectified great grand hecatonicosachoron 1.070466
firgogishi 4D facetorectified great grand stellated hecatonicosachoron 0.661585
firl 6D facetorectified heptapeton 0.845154
firn 5D facetorectified penteract 1.414214
firp 4D faceted rectified pentachoron, retropyrohemiperichoron, vertex figure of dah, tetrahedral cuploid 0.774597
... 4D firp+rap+15{4} (?) 0.774597
firsashi 4D faceted rectified small stellated hecatonicosachoron 2.802517
firt 4D facetorectified tesseract 1.224745
firx 5D facetorectified hexateron 0.816497
... 4D fix+gahi+120id (?) 1.618034
fix, pI 4D icosahedral hecatonicosachoron, faceted hexacosichoron, polyicosahedron 1.618034
..., fix || padohi 5D (degenerate) fix atop padohi ∞   i.e. flat in euclidean space
fohaf 6D tetradecahemitetradecapeton 1
... 4D fooo3xxoF3xfxo *b3oxFo&#zx
... 4D triacontapenta-diminished hexacosachoron, fooo5ofxo xofx5oxox&#zx 1.618034
forx 6D facetorectified hexeract 1.581139
frasa 7D facetorectified hepteract 1.732051
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
... 4D dodeca-diminished equatorial tetrastratic segment of rox 3.077684
... 4D Fxo oxf3xox5xfo&zxt
... 4D equatorial tetrastratic segment of rectified hexacosachoron 3.077684
... 4D Fxox3xoxf3oFxx *b3oxfo&#zx
... 4D Fxxox5ofxfo xofox5oxofx&#zx
... 4D Fxxx3xxoF3xfxo *b3oxFo&#zx
... 4D Fxxx5ofxo xofx5oxox&#zx
fy 8D dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, Gosset polyzetton 41,2, Witting polytope, vertex figure of goh, lattice E8 contact polytope (span of its roots) 1


gabach 7D great bicellihexadecaexon 3.872983
gabbadipady 4D great blendic disprismatodishecatonicosachoron 2
gabbathi 4D great blendic trishecatonicosachoron 2
gabdacan 5D great biprismatodiscellipenteract 1.021221
... 4D vertex figure of great biprismatodiscellipenteract 1.118034
gabippady (old: gabbippady) 4D great blendic prismatodishecatonicosachoron 2
gabirch 3D great birhombatocubic honeycomb
gaborg 6D great birhombihexacontitetrapeton, bicantitruncated hexacross 3.391165
gaborx 6D great birhombated hexeract, bicantitruncated hexeract 4
gabred 4D great birhombatodecachoron sqrt[(2a2+2ab+3b2)/5]
gabreth 3D great birhombitetrahedral honeycomb
gabric 4D great birhombatotetracontoctachoron sqrt[a2 + 2 sqrt(2) ab + 3b2]
gabril 6D great birhombated heptapeton, bicantitruncated heptapeton 2.390457
gacal 6D great cellated heptapeton, steriruncicantitruncated heptapeton 3.380617
gacdupthix 4D small capped dipentary tetrishecatonicosahexacosichoron 1.328131
gacicot (old: otit) 4D great cellated icositetrachoric tetracomb, omnitruncated icositetrachoric tetracomb
gacid 3D great complex icosidodecahedron 0.587785
gacnet 5D great cellated penteractitriacontiditeron, omnitruncated penteract, omnitruncated pentacross 4.829189
gacoca 3D great cubaticubatiapeiratic honeycomb
gacocaddit 3D hyperbolic x3o3o4o3*a tesselation, grand cuboctahedronary cubic-distetrahedral honeycomb 0.511081 i
gacotat (old: otatit) 4D great cellated tesseractic tetracomb, omnitruncated tesseractic tetracomb
gacquitpica 3D great cubatiquasitrunciprismated cubatiapeiratic honeycomb
gactipeca 3D great cubatitrunciprismated cubatiapeiratic honeycomb
gad 3D great dodecahedron, faceted icosahedron, vertex figure of fix 0.951057
gad phiddix 4D great dipentary hecatonicosadishexacosachoron 1.328131
gadatady 4D grand ditetrahedral dishecatonicosachoron 0.874032
gadathiphi 4D grand ditetrahedronary hecatonicosaprismatohecatonicosachoron 0.874032
... 4D gadathiphi+600 2tet (?) 0.874032
gaddadid, gad || did 4D great dodecahedron atop dodecadodecahedron, great-dodecahedral cupola 1.064815
gaddaraded, gad || raded 4D great dodecahedron atop rhombidodecadodecahedron, gad-first cap of quipdohi 1.328131
gaddatigid, gad || tigid 4D (degenerate) gad atop tigid ∞   i.e. flat in euclidean space
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
gadencorn 5D great dispinocellirhombated penteract 1.192297
... 4D vertex figure of great dispinocellirhombated penteract 0.907821
gadinnert 5D great dispenteractirhombated triacontaditeron 2.336045
gadixady 4D great dishexacosadishecatonicosachoron 3.139124
gadixhix (old: gixhix) 4D great dodecahedronary hexacosahemihexacosachoron, compound of 25 ihi (but not sadixhix) 1
gadpy 4D great-dodecahedral pyramid, vertex cap of fix 1.618034
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
gadtatdic 3D hyperbolic grand ditetrahedronary tetrahedral-discubic honeycomb 0.722778 i
gadtaxadiap 5D grand ditetrahedronary hexacosadishecatonicosachoron atop alternate grand ditetrahedronary hexacosadishecatonicosachoron, grand ditetrahedronary hexacosadishecatonicosachoron alterprism 0.951057
gadtaxady 4D grand ditetrahedronary hexacosadishecatonicosachoron 0.874032
gadtaxhi 4D great ditetrahedronary hexacosihecatonicosachoron 0.874032
gadtaxhiap 5D grand ditetrahedrary hexacontahecatonicosachoron antiprism 0.951057
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
gafwan 5D great facetosphenary penteract 0.792893
... 4D vertex figure of great facetosphenary penteract 0.776106
... 4D gaghi+didhi (?) 1
... 4D gaghi+idhi (?) 1
... 4D gaghi+paphacki+sridaphi (?) 1
... 4D gaghi+sridixhi (?) 1
gaghi, gapD 4D great grand hecatonicosachoron, greatened aggrandized polydodecahedron 1
..., gaghi || gofix 5D (degenerate) gaghi atop gofix, (degenerate) gaghi antiprism, (degenerate) gofix antiprism ∞   i.e. flat in euclidean space
gaghipy, pt || gaghi 5D (degenerate) gaghi pyramid ∞   i.e. flat in euclidean space
gahax 7D gee atop hax, gee-first segment of naq 0.866025
gahfipto 4D great hexadecafeceted prismatotesseractioctachoron 0.890446
... 4D gahi+gohi (?) 1.618034
gahi, apD 4D grand hecatonicosachoron, aggrandized polydodecahedron 1.618034
gaje (old: gaj, older: gij) 6D great icosiheptaheptacontidipeton 0.816497
ganbathi 4D great spinoblendic trishecatonicosachoron 2
ganbippady 4D great spinoblendic prismatodishecatonicosachoron 2
gancpan 5D great spinocelliprismated penteract 1.276197
... 4D vertex figure of great spinocelliprismated penteract 0.920055
gap 4D great antiprism, grand antiprism, pentagonal double antiprismoid (but not: great duoantiprism), bicyclical decadiminishing of ex 1.618034
... 4D dual of great antiprism ...
... 3D cell of gap dual, adjacent bikis doe
gapcyxh 5D great prismated cyclohexateric honeycomb, Voronoi complex of lattice A5*
gapil 6D great prismated heptapeton, runcicantitruncated heptapeton 2.803060
gappip 5D great-antiprism prism 1.693527
gapquinoh 5D great prismated quarterpenteractic pentacomb
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
gaqrich 3D great quasirhombated cubic honeycomb
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
gaqrigohi 4D great quasirhombated great hecatonicosachoron 2
gaqrin 5D great quasirhombated penteract 1.673396
gaqript 4D grand quasirhombated prismatotesseract 0.765367
gaqrisashi 4D great quasirhombated small stellated hecatonicosachoron 5.018002
gaqrit 4D great quasirhombated tesseract 1.401594
gaqrox 6D great quasirhombihexeract 1.906840
gaquacint 5D great quasicellated penteractitriacontiditeron 3.029675
gaquapac 4D great quasiprismatotetracontoctachoron 1.127864
gaquapan 5D great quasiprismated penteract 2.527061
gaquapech 3D great quasiprismated cubic honeycomb
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
gaquidpothip 5D great-quasidisprismatotesseractihexadecachoric prism, great-quasiprismated-tesseract prism 2.001839
gaquipadah 4D great quasiprismatodishexadecachoron 0.890446
gaquitxog 6D great quasiterated hexeractihexacontatetrapeton 4.288753
garag 7D gee atop rag, gee-first rotunda of rez 1
garawv hixhi 4D great retrosphenoverted hecatonicosihexacosihecatonicosachoron 1.054256
garcornit 5D great retrocellirhombated penteractitriacontaditeron 1.192297
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
garpop 4D grand rhombated prismatopentachoron 1.183216
gart 5D great rhombated triacontiditeron, cantitruncated pentacross 2.645751
garx 5D great rhombated hexateron, cantitruncated hexateron 2
gashi, aspD 4D grand stellated hecatonicosachoron, aggrandized stellated polydodecahedron 0.618034
gashia 5D grand stellated hecatonicosachoron antiprism, grand stellated hecatonicosachoron alterprism, grand stellated hecatonicosachoron atop dual grand stellated hecatonicosachoron 0.680827
gassic 3D (chiral) great snub cube, compound of 3 squap 0.822664
gassid 3D great snub dodecahedron, compound of 6 pap 0.951057
gatopin 5D great pteroprismated penteract 0.914214
... 4D vertex figure of great pteroprismated penteract 0.837186
... 4D gax+gashi+120gid (?) 0.618034
... 4D gax+gofix (?) 0.618034
gax, apT 4D grand hexacosachoron, aggrandized polytetrahedron 0.618034
gedak 6D hexacontitetradishexeract, compound of 2 hax 0.866025
gee (old: xic) 6D hexacontitetrapeton, hexacross6), aeroex(id), hexateral antiprism, triacontaditeric bipyramid, octahedral duotegum, square triotegum, vertex figure of zee, Gosset polytope 31,1, lattice C6 contact polytope (span of its small roots) 0.707107
geedatepthi 4D great exoditetrahedrary prismatotrishecatonicosachoron 1.414214
geep 7D hexacontitetrapeton prism, hexacross prism, vertex figure of rek 0.866025
geepy 7D hexacontitetrapeton pyramid, vertex-first rotunda of gee 0.707107
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
gektabcadont (old: giktabacadint) 5D great skewtrigonary biprismatocellidispenteractitriacontiditeron 1.5
getdoca (old: gotactictosquath) 3D great tetradicubatiapeiratic honeycomb, great tetrahedral cubic tomocubic tomosquare tiling honeycomb
getit cadoca 3D great tritrigonary cubatidicubatiapeiratic honeycomb
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
getut 4D great tristetracosioctacontachoron 1
... 3D vertex figure of getut 0.866025
ghaha 2D great hexahexaapeirogonal tiling
ghahoh 4D great hexadecahemihexadecachoron 1
gheat 2D great heptagonal tiling, hyperbolic order 7/2 heptagon tiling 0.873057 i
ghihi 4D great hecatonicosihecatonicosachoron 0.854102
ghipady 4D great hecatonicosiprismatodishecatonicosachoron 4.087567
ghothat, (inbetween: ghath) 2D great hexagonal-trigonal-hexagonal tiling
gibcotdin 5D great biprismatocellitriacontadiadispenteract 2.001839
gibil biro 3D great bilunabirotunda
gibpof 6D great biprismated tetradecapeton, biruncicantitruncated heptapeton 3
gibrant 5D great birhombated penteractitriacontiditeron, bicantitruncated penteract 3.391165
gibricot 4D great birhombated icositetrachoric tetracomb, great grand prismatodisicositetrachoric tetracomb
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 (ditrigonary) rhombicosidodecahedron 0.866025
gichado 4D great cubihexadecadisoctachoron 1.174172
gico 4D great icositetrachoron, stella prismata, compound of 3 tes 1
... 4D gico+8co+16 2thah (?) 1
gid 3D great icosidodecahedron 0.618034
gid thipady 4D great ditrigonary 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 ditrigonary dodekicosidodecahedron, great dodekified icosidodecahedron 1.134229
gidditdiddip 4D great-ditrigonary-dodekicosidodecahedron prism 1.239546
gidditdy 4D great ditrigonary dishecatonicosachoron 1.732051
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
gidpicdoh 3D hyperbolic great disprismated cubical-dodecahedral honeycomb, hyperbolic omnitruncated order 5 cubical honeycomb, hyperbolic omnitruncated order 4 dodecahedral honeycomb 4.248159 i
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
gidpixhip 5D great-disprismatohexacosihecatonicosachoron prism, omnitruncated-hexacosachoron prism 12.796423
gidrid (subsym.: gidrikid) 3D great dirhombicosidodecahedron, great snub disicosidisdodecahedron, Miller's monster, (subsym.: great dirhombichiricosadodecahedron) 0.707107
gidriddip 4D great-dirhombicosidodecahedron prism, great-snub-disicosidisdodecahedron prism, prism of Miller's monster 0.866025
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 ditrigonary hecatonicosihexacosihecatonicosachoron 3.139124
gidtid 3D great ditrigonary icosidodecahedron, vertex figure of gidtixhi 0.866025
gidtidap 4D great-ditrigonary-icosidodecahedron antiprism 0.951057
gidtiddip 4D great-ditrigonary-icosidodecahedron prism 1
gidtixhi 4D great ditrigonary hexacosihecatonicosachoron 1
... 4D gidtixhi+dox (?) 1
gidtixhipy, pt || gidtixhi 5D (degenerate) gidtixhi pyramid ∞   i.e. flat in euclidean space
gifdahihox 4D great fissary dodecahedronary hecatonicosihemihexacosachoron 1
gifodib 3D sidtid faceting sidtid-2-10-20-0 (i.e. with 10(=d) {3}, 20(=i) {4}, and 2(=b) {5/2}) 0.866025
giid 3D great icosicosidodecahedron 1.134229
giidip 4D great-icosicosidodecahedron prism 1.239546
gik vadixady 4D great skewverted dishexacosidishecatonicosachoron 2.013884
gik vipathi 4D great skewverted prismatotriakishecatonicosachoron 2.828427
gik vixathi 4D great skewverted hexacositriakishecatonicosachoro 2.013884
gikagid, gike || gid 4D great icosahedron atop great icosidodecahedron, great icosahedral cap of rectified grand hexacosachoron, great-icosahedral cupola 0.726543
gike 3D great icosahedron, retrosnub tetrahedron, retrosnub tetratetrahedron, edgified penta-stellahedron, vertex figure of gax 0.587785
gikepy 4D great-icosahedral pyramid, vertex cap of gax 0.618034
gikkiv datapixady 4D great skewverted ditrigonary prismatohexacosadishecatonicosachoron 2.013884
gikkiv pacoca (old: sic vacpeca) 3D great skewverted prismatocubaticubatiapeiratic honeycomb, small skewverted cubatiprismated cubatiapeiratic honeycomb
gikkivcadach 3D great skewverted cubatiapeiroducubatic honeycomb
gikrid 3D great chirorhombidodecahedron, compound of 6 stip 0.725530
gikviphado 4D great skewverted prismatohexadecadisoctachoron 1.414214
ginnont 5D great penteractipenteractitriacontiditeron 1.021221
ginnontip 6D ginnont prism 1.137055
gipaht 4D great prismated demitesseractic tetracomb
gipbin 5D great prismated biprismatopenteract 0.914214
... 4D vertex figure of great prismated biprismatopenteract 0.837186
gipdohiny 4D great pental dishecatonicosaintercepted hecatonicosachoron 0.726543
gipe 4D great-icosahedron prism 0.771681
giphado 4D great prismatohexadecadisoctachoron 1.082392
giphatit 4D great prismated demitesseractic tetracomb, great diprismatodemitesseractic tetracomb, steriruncicantic tesseractic tetracomb
giphiddix 4D great prismatohecatonicosadishexacosachoron 1.624598
giphidy 4D great prismated hecatonicosadishecatonicosachoron 1.348948
giphihix 4D great prismatohecatonicosahecatonicosahexacosachoron 1.893038
giphin 5D great prismated hemipenteract, steriruncicantic penteract 3.259601
giphixhi 4D great prismatohecatonicosihexacosihecatonicosachoron 2.920251
gipidded 3D hyperbolic great prismatodisdodecahedral honeycomb, hyperbolic omnitruncated order 5 dodecahedral tesselation 3.176503 i
gipiddih 3D hyperbolic great prismatodisicosahedral honeycomb, hyperbolic omnitruncated order 3 icosahedral honeycomb 4.308399 i
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
gippich (old: otch) 3D great prismated cubic honeycomb, omnitruncated cubic honeycomb
gippict 4D great prismated icositetrachoric tetracomb
gippid 4D great prismatodecachoron, omnitruncated pentachoron, Voronoi cell of lattice A4* 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
gippitip 6D great-prismated-triacontiditeron prism 3.905125
gippittit 4D great prismated tesseractic tetracomb, great diprismatotesseractic tetracomb, runcicantitruncated tesseractic tetracomb
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
giqragashi 4D great quasirhombated grand stellated hecatonicosachoron 2
girc 4D great retrotetracontoctachoron 0.765367
gircaptint (old: grecaptint) 5D great retrocelliprismatotruncated penteractitriacontaditeron 1.949424
girco 3D great rhombicuboctahedron (but not querco), truncated cuboctahedron, omnitruncated octahedron, omnitruncated cube 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
girhax 6D great rhombated hemihexeract, cantitruncated demihexeract, runcicantic hexeract 3.278719
girhin 5D great rhombated hemipenteract, cantitruncated demipenteract, runcicantic penteract 2.761340
girjak 6D great rhombated icosiheptaheptacontidipeton 3.605551
girn 5D great rhombated penteract, cantitruncated penteract 3.563671
girpdi 4D great rhombiprismic disicosatetrachoron 1.938391
girpdo 4D great rhombiprismatodisoctachoron 1.174172
girpith 4D great rhombiprismated tesseractihexadecachoron 1.082392
girpixhi 4D great rhombiprismic hexacosahecatonicosachoron 1.021064
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
gisdiddit 6D (gisdid,gisdid)-duotegum, gisdid duotegum, tegum product of 2 great snub dodekicosidodecahedra 0.707107
gisdipthi 4D great stellated dipental trishecatonicosachoron 1.328131
... 4D gishi+gashi (?) 0.618034
gishi, gspD 4D great stellated hecatonicosachoron, greatened stellated polydodecahedron 0.618034
giship 3D tristrophic heptagrammic prism, heptagrammic prism of winding number 3, great heptagrammic prism, great stellated heptagonal prism 0.716257
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, tri-stellahedron 0.535233
gissidagid, gissid || gid 4D great stellated dodecahedron atop great icosidodecahedron, great stellated dodecahedral cupola 0.692924
gissidagike 4D great stellated dodecahedron antiprism, great icosahedron antiprism, taller great stellated dodecahedron atop great icosahedron 0.662791
gissiddip 4D great-stellated-dodecahedron prism 0.732444
gissidpy 4D great-stellated-dodecahedral pyramid, vertex cap of gaghi 0.591923
gissidragike 4D great stellated dodecahedron retroprism, great icosahedron retroprism, narrower great stellated dodecahedron atop great icosahedron 0.618034
git thixady 4D great tritrigonal hecatonicosihexacosidishecatonicosachoron 1.136572
githawro 3D great triangular hebesphenorotunda
gitphi 4D great tripesic hecatonicosachoron 0.874032
gitpodady 4D great (intersected) tripesic dodecahedronary dishecatonicosachoron 1
gittifcoth 4D great tesseractifaceted cubitesseractihexadecachoron 0.890446
gittith 4D great tesseractitesseractihexadecachoron 0.890446
gittithip 5D great-tesseractitesseractihexadecachoron prism 1.021221
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
gloptin 5D great lapidoprismatotruncated penteract 1.416813
gnappoth 4D great spinoprismatotesseractihexadecachoron 0.890446
gobath 3D great biambotetrahedral honeycomb
gocad (old: gohad) 5D great cellated dodecateron (great hedrated dodecateron), omnitruncated hexateron, Voronoi cell of lattice A5* 2.958040
gocadip 6D great-cellated-hexateron prism 3
gocco 3D great cubicuboctahedron 0.736813
goccope 4D great-cubicuboctahedron prism 0.890446
goccopen 7D (gocco,pen)-duoprism 0.971027
gocog 6D great cellated hexacontitetrapeton, steriruncicantitruncated hemihexeract, omnitruncated hemihexeract 5.244044
gocypapit 5D bitruncated pentachoric tetracomb, great cycloprismated pentachoric tetrachomb, grand prismatodispentachoric tetracomb
gocyropit 4D great cyclorhombated pentachoric tetrachomb, great truncated-pentachoric tetracomb, cantitruncated pentachoric tetrachomb
... 4D gofix+gishi+120gid (?) 0.618034
gofix, gpI 4D great icosahedral hecatonicosachoron, great faceted hexacosichoron, greatened polyicosahedron 0.618034
..., gofix || quipdohi 5D (degenerate) gofix atop quipdohi ∞   i.e. flat in euclidean space
gogishi, gaspD 4D great grand stellated hecatonicosachoron, greatened aggrandized stellated polydodecahedron 0.540182
gogishiagax 5D great grand stellated hecatonicosachoron antiprism, grand hexacosachoron antiprism, taller great grand stellated hecatonicosachoron atop grand hexacosachoron 0.667731
gogiship 5D great-grand-stellated-hecatonicosachoron prism 0.736068
gogishiragax 5D great grand stellated hecatonicosachoron retroprism, grand hexacosachoron retroprism, narrower great grand stellated hecatonicosachoron atop grand hexacosachoron 0.636010
goh 8D Gosset octacomb 52,1, Delone complex of lattice E8
gohi, gpD 4D great hecatonicosachoron, greatened polydodecahedron 1.618034
gohihix 4D great hecatonicosihecatonicosihexacosachoron 1.464888
gohiny 4D great hecatonicosintercepted hecatonicosachoron 0.661585
gohip 5D great hexacosachoron prism 1.693527
gondip 4D great octagonal spinoduoprism 0.890446
gook 8D great octeractiocteractidiacosipentacontahexazetton 1.338990
gopam (old: gakpam) 6D great prismated pentacontitetrapeton, (great heptaheptacontidiprismated pentacontitetrapeton), omnitruncated pentacontitetrapeton, omnitruncated icosiheptaheptacontidipeton 6.244998
gopog 6D great prismated hexacontitetrapeton, runcicantitruncated hexacross 3.872983
goquidipdy 4D great quasidisprismatodishecatonicosachoron 6.566933
gorcrin 5D great retrocelligreat rhombated penteract 2.143163
gosid 3D great snub icosidodecahedron, tsathoggua
gosiddip 4D great-snub-icosidodecahedron prism
gososaz 7D great hepteractihepteractihecatonicosoctaexon 1.242133
gossa 2D great squarisquariapeirogonal tiling
gotaf 6D great terated tetradecapeton, omnitruncated heptapeton, Voronoi cell of lattice A6* 3.741657
gotanq (old: gotalq) 7D great terated hecatonicosihexapentacosiheptacontihexaexon, omnitruncated Gosset polyexon 32,1, great terated pentacontihexapentacosiheptacontihexaexon, omnitruncated Gosset polyexon 21,3, great terated pentacontihexahecatonicosihexaexon, omnitruncated Gosset polyexon 12,3 9.987492
gotaxog 6D great terated hexeractihexacontatetrapeton 6.293378
gotdatixhi 4D great toroidoditrigonary hexacosihecatonicosachoron 1.732051
gotditpix 4D great toroidoditrigonary prismatohexacosichoron 1.732051
gotto 4D great trisoctachoron, great triakisoctachoron 1.224745
... 2D Gott's snic-based pseudopolyhedron
goxaxog 6D great hexeractihexeractihexacontitetrapeton 1.137055
goxaxogip 7D goxaxog prism 1.242133
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
graht 2D great rhombihexagonal tiling
gram (old: gakbram) 6D great rhombated pentacontitetrapeton, (old: great heptacontiduo-birhombated pentacontitetrapeton), cantitruncated pentacontitetrapeton 5
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, runcicantic cubic 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
..., grico || gippic 5D (degenerate) grico atop gippic ∞   i.e. flat in euclidean space
gricoa (old: gricoalgrico) 5D great-rhombated-icositetrachoron alterprism, great-rhombated-icositetrachoron atop alternate great-rhombated-icositetrachoron 4.311477
gricope (old: gripe) 5D great-rhombated-icositetrachoron prism, cantitruncated-icositetrachoron prism 4.328427
gricot 4D great rhombated icositetrachoric tetracomb, great prismatodisicositetrachoric tetracomb
grid 3D great rhombicosidodecahedron (but not qrid), truncated icosidodecahedron, omnitruncated icosahedron, omnitruncated dodecahedron 3.802395
..., xFoFx3xxxxx5xofox&#xt   (F=ff=x+f) 4D bilunabirotundic great rhombicosidodecahedron prism
gridaphi 4D great retroinverted dodecahedronary prismatohecatonicosachoron 1
griddip, K-4.150 4D great-rhombicosidodecahedron prism 3.835128
griddoh 3D hyperbolic great rhombated (order 4) dodecahedral honeycomb, hyperbolic cantitruncated order 4 dodecahedral honeycomb 3.466586 i
gridixhi 4D great retroinverted dodecahedronary hexacosahecatonicosachoron 1
gridtathi 4D great retroinverted ditetrahedronary trishecatonicosachoron 1.414214
grih 3D hyperbolic great rhombated order 3 icosahedral honeycomb, hyperbolic cantitruncated order 3 icosahedral honeycomb 3.601065 i
gril 6D great rhombated heptapeton, cantitruncated heptapeton 2.104417
grip 4D great rhombated pentachoron, cantitruncated pentachoron 1.843909
gripa (old: gripalgrip) 9D grip alterprism, grip atop inverted grip, medial spid-first segment of spat 1.870829
gripady 4D great rhombiprismic dishecatonicosachoron 1.207883
gripagippid 5D grip atop gippid, grip-first cap of cograx 2.327373
gripech 3D hyperbolic great rhombated order 5 cubic honeycomb, hyperbolic cantitruncated order 5 cubic honeycomb 3.185991 i
griphi 4D great retropental hecatonicosachoron 1.175571
gripped 3D hyperbolic great rhombated order 5 dodecahedral honeycomb, hyperbolic cantitruncated order 5 dodecahedral honeycomb 2.456999 i
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
gritta gidpith 5D grit atop gidpith, grit-first segment of cogrin 3.988340
grittip 5D truncated-tesseract prism, central segment of prin 3.047217
grittit 4D great prismatotesseractic tetracomb, cantitruncated tesseractic tetracomb
grix 4D great rhombated hexacosachoron, cantitruncated hexacosachoron 9.124101
..., grix || prix 5D (degenerate) grix atop prix ∞   i.e. flat in euclidean space
grixip 5D great-rhombated-hexacosachoron prism 9.137791
grog 6D great rhombihexacontitetrapeton, cantitruncated hexacross 2.645751
groh 5D great rhombihexahedron 0.736813
... 3D groh+8{6/2} (?) 0.736813
grohp 7D great-rhombihexahedron prism 0.890446
grotazt 2D hyperbolic great rhombitriapeirogonal tiling, hyperbolic omnitruncated trigonal-horocyclic tiling, hyperbolic truncated triapeirogonal tiling 2.397916 i
grotehat 2D hyperbolic great rhombitetrahexagon tiling, hyperbolic order 6 omnitruncated square tiling, hyperbolic order 4 omnitruncated hexagon tiling 2.474067 i
grotepet (old: opeat) 2D great rhombitetrapentagonal tiling, omnitruncated pentagonal tiling, hyperbolic omnitruncated tetrapentagonal tiling 3.121470 i
grothaph (old: otathaph) 3D great rhombitrihexagonal prismatic honeycomb, omnitruncated triangular-hexagonal prismatic honeycomb
grothat (old: othat) 2D great rhombitrihexagonal tiling, omnitruncated trihexagonal tiling
grothet (old: othet) 2D hyperbolic great rhombitruncated triheptagonal tiling, hyperbolic omnitruncated triheptagonal tiling 4.779184 i
grotoct (old: otoct) 2D hyperbolic great rhombated trioctagonal tiling, hyperbolic omnitruncated trioctagonal tiling 3.699185 i
grox 6D great rhombihexeract, cantitruncated hexeract 4.045239
gudap (old: gedap) 4D great duoantiprism, (old: great double antiprism – but not: great antiprism) 1
guhsa (old: xhaf) 7D hexacontitetrahemihepteract, hexacontitetrahemitetradecaexon 0.707107
guph 7D great petated hexadecaexon, hexipentisteriruncicantitruncated octaexon, omnitruncated octaexon 4.582576
guposaz 7D great petated hepteractihecatonicosoctaexon 1.242133
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
gyautisdip 4D gyro-augmented 3-4-duoprism ...
gybadrid, J82 3D gyrate(d) bidiminished rhombicosidodecahedron 2.232951
gybef, J26 3D gyrobifastegium
gybeffip 4D gybef prism
gyeditoh 3D gyroelongated ditetrahedral-octahedral honeycomb
gyepabro, J48 3D gyroelongated pentagonal birotunda
gyepcu, J24 3D gyroelongated pentagonal cupola
gyepcuro, J47 5D gyroelongated pentagonal cupolarotunda
gyepibcu, J46 3D gyroelongated pentagonal bicupola
gyepip, J11 3D gyroelongated pentagonal pyramid, diminished icosahedron
gyepipa pero, K-4.140 4D gyroelongated pentagonal pyramid atop pentagonal rotunda 3.077684
gyepippip 4D gyroelongated-pentagonal-pyramid prism 1.074481
gyepro, J25 3D gyroelongated pentagonal rotunda
gyerich 3D parallelly that elongated gyrich
gyescu, J23 3D gyroelongated square cupola
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 cupola
gyetibcu, J44 3D gyroelongated triangular bicupola
gyetoh 3D gyroelongated tetrahedral-octahedral honeycomb, gyroelongated alternated cubic honeycomb
gypasp 4D great pyramidic swirlprism 0.618034
gyprip 4D gyrated prip 1.612452
gyquerco (alt.: rers quigybcu) 3D inverto-elongated retrograde square gyrobicupola, gyrated quasirhombicuboctahedron, pseudo great rhombicuboctahedron, retroelongated retrosquare gyrobicupola 0.736813
gyrich 3D gyrated rectified cubical honeycomb
gyrid, J72 3D gyrated rhombicosidodecahedron 2.232951
gyspid (alt: tetacobcu) 4D gyrated small prismatodecachoron, orthobicupola of runcinated pentachoron, tetaco orthobicupola 1
gytoh 3D gyrated tetrahedral-octahedral honeycomb, gyrated alternated cubic honeycomb
gytoph 3D gyrated-bifastegium honeycomb
gytoph 3D gyrated triangular prismatic honeycomb


hachon 3D hyperbolic order 6 cubical honeycomb 0 i
haco (old: hicco) 5D hexagon cuboctahedron duoprism 1.414214
hacube (old: hiccube) 5D hexagon cube duoprism 1.322876
haddet 4D demidistesseract, hexadecadistesseract, compound of 2 hex 0.707107
hadedip 4D hexagon - decagon duoprism 1.902113
hadoe 5D hexagon - dodecahedron duoprism 1.721489
haf, K-4.46 4D hexagonal antifastegium, hexagon - hap wedge, {6} || gyro hip 1.130454
hagippid 6D hexagon - great-prismated-pentachoron duoprism 2.449490
hagirco (old: higgirco) 5D hexagon great-rhombicuboctahedron duoprism 2.524147
hagrid 5D hexagon - great-rhombicosidodecahedron duoprism 3.931692
hagy gircope 4D hexa-gyro-augmented gircope
hahip (old: hiddippip) 5D hexagon hexagonal-prism duoprism, hexagon-hexagon duoprismatic prism 1.5
han 5D hexadecapenteract, vertex figure of daj 0.790569
hap, 6-ap 3D hexagonal antiprism 1.087664
happip, K-4.53 4D hexagonal-antiprism prism 1.197085
haprojak 6D demiprismatorhombated icosiheptapeton 3.559026
haquitco 5D hexagon quasitruncated-cuboctahedron duoprism 1.459000
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, alt. hipdaw) 5D hexagon-tetrahedron duoprism, hexagon duofastegium, hip disphenoid 1.172604
hatha 2D hexaapeirogonaltruncated hexaapeirogonal tiling
hatho 4D hemitesseractihemioctachoron 0.707107
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
hatope 6D hexagon - truncated-octahedron duoprismatic prism 1.936492
hatricu 5D hexagon-tricu duoprism, trip-first half of haco 1.414214
hatut (old: hittut) 5D hexagon truncatet-tetrahedron duoprism 1.541104
hau gircope 4D hexa-augmented gircope
hau ticcup 4D hexa-(ortho-)augmented ticcup
haucope 4D hexa-augmented cope
hauhocto 8D hexadeca-augmented hemiocteract ...
hautope 4D hexa-augmented tope
hawmco, J89 3D hebesphenomegacorona
... 4D external blend of the hebesphenomegacorona-prism and a cube-pyramid, cubic-pyramid-augmented hebesphenomegacorona-prism
hax 6D hemihexeract, vertex figure of laq, Gosset polytope 13,1 0.866025
haxabrag 7D hax-first monostratic cap of lin, hax atop brag 1.322876
haxabrox 7D hax atop brox, hax-first cap of rolaq 1.732051
haxarag 7D hemihexeract atop rectified hexacontitetrapeton, vertex-first subsegment of pentacontihexapentacosiheptacontihexaexon 1
haxesc 8D (degenerate) demihexaractic scalene, line atop fully orthogonal demihexaract ∞   i.e. flat in euclidean space
haxh 6D hemihexeractic pentacomb, Delone complex of lattice D6
haxip 7D hemihexeractic prism, vertex figure of rinquoh 1.060660
haxpy 7D hemihexeractic pyramid, vertex pyramid of laq 1
haxt 7D demihexeractic (line-)tegum, demihexeractic bipyramid ...
he (old: ache) 7D hexadecaexon, trirectified octaexon, equatorial cross-section of (vertex first) 1/q-octo, Gosset polytope 03,3 1
heat 2D hyperbolic order 3 heptagonal tiling 1.742610 i
hede 10D demi-dekeract, Gosset polytope 17,1 1.118034
hedhon 3D hyperbolic order 6 dodecahedral honeycomb 0 i
hedip 4D heptagonal-heptagonal duoprism 1.629715
hedjak 6D heptadiminished jak, square || hin 0.816497
hehad 5D hexadecahemidecateron, vertex figure of thox 0.707107
hehah 7D hexadecahemihexadecaexon 1
hejak 6D demified icosiheptaheptacontidipeton 1.632993
hejaka 7D hejak alterprism, hejak atop alternate hejak 1.658312
henne 9D demi-enneract, Gosset polytope 16,1 1.060660
hep 3D heptagonal prism 1.256179
hept 7D hepteract, tetradecaexon, 7D measure-polytope7), geozett(id) 1.322876
hesa (old: hiss) 7D hemihepteract, vertex figure of bay, Gosset polytope 14,1 0.935414
hesapy 8D hemihepteractic pyramid, vertex pyramid of bay 1.414214
hetrat 2D hyperbolic order 7 triangular tiling 0.873057 i
... 4D hex+8oct (?) 0.707107
hex, K-4.2 (alt: octit, trapt) 4D hexadecachoron, tetracross4), orthoplex, hemitesseract, hemioctachoron, 16-cell, aeroter(id), tetrahedral antiprism, vertex figure of tac, (line-)octahedral tegum, (line-)trigonal-antirprismatic tegum, Gosset polytope 11,1, 8-3-stepprism, lattice C4 contact polytope (span of its small roots) 0.707107
..., hex || sidpith 5D (degenerate) hex atop sidpith ∞   i.e. flat in euclidean space
hexaco 5D hexadecachoron atop cuboctahedron, 0.147584-luna of rectified triacontiditeron 1
hexaf, hex || gyro hexip 6D hexadecachoral alterfastegium, hex atop gyrated hexip, hex-first rotunda of hax 0.866025
hexah 3D hyperbolic order 3 hexagonal-tiling honeycomb 1.414214 i
hexaico, hex || ico 5D hexadecachoron-first rotunda of rectified triacontiditeron, hexadecachoron atop icositetrachoron 1
hexal hesa 8D hex atop alternated hesa, hex-first cap of codify 1
hexal trahex 7D hex atop gyrated trahex, hex-first cap of hesa 0.935414
hexalhax 7D hex atop alternate hax 0.866025
hexalrit 5D hex atop gyrated rit, hex-first cap of siphin 1.274755
hexarit 5D (degenerate) hex atop rit ∞   i.e. flat in euclidean space
hexasc 6D hexadecachoric scalene, hexadecachoron-pyramid pyramid, line atop fully orthogonal hexadecachoron, 1/4-lune of hexacontatetrapeton 0.707107
hexat 2D hexagonal tiling, Voronoi complex of hexagonal lattice A2
hexathex 5D (degenerate) hex atop thex ∞   i.e. flat in euclidean space
hexdip 8D hexadecachoron duoprism 1
hexete 7D hexadecachoric tettene, hexadecachoron-pyramid pyramid-pyramid, triangle atop fully orthogonal hexadecachoron 0.707107
hexip 5D hexadecachoron prism, vertex figure of rag 0.866025
hexipaico 6D hexip atop ico, diminished 1/4-lune of rag 1
hexippy 6D hexip pyramid, vertex pyramid of rag 1
hexpy 5D hexadecachoral pyramid, vertex-first rotunda of triacontiditeron 0.707107
hext 4D hexadecachoric tetracomb, demitesseractic tetracomb, Delone complex of body-centered tesseractic lattice, Gosset polytope 11,1,1
hextes 8D hexadecachoron-tesseract duoprism 1.224745
hextum 5D hex-based tutsatope, hex-based tutism, hex-first rotunda of tot 1.581139
hexu 5D hexadecachoral-based ursateron ofx3xoo3ooo4ooo&#xt, hex-based ursulate 1.144123
hi, pD 4D hecatonicosachoron, 120-cell, dodecacontachoron, twelftychoron, cosmochoron, dodecaplex, polydodecahedron 3.702459
... 4D hi dimpled in by 120 ikadoes ...
hiarahi, hi || rahi 5D (degenerate) hi atop rahi ∞   i.e. flat in euclidean space
hibbit 4D hexagonal duoprismatic tetracomb, Voronoi complex of bihexagonal lattice A2×A2
hicu 3D hexagonal cupola ∞   i.e. flat in euclidean space
hid 5D hexagon icosidodecahedron duoprism 1.902113
hiddip 4D hexagonal-hexagonal duoprism, Voronoi cell of lattice A2×A2 1.414214
hidhi 4D hecatonicosa-diminished hecatonicosachoron 3.702459
hidicau pretasto 4D hexadeca-diminished icositetra-augmented pentagonorhombic-trisnub-trisoctachoron
hidlin 7D hexadeca-diminished pentacontihexahecatonicosihexaexon 1.322876
hihexah 3D hyperbolic order 6 hexagonal-tiling honeycomb 0 i
hihexat 2D hyperbolic order 6 hexagonal tiling 0.353553 i
hihiquatady 4D hecatonicosihecatonicosiquasitruncated dishecatonicosachoron 3.605551
hike 5D hexagon icosahedron duoprism 1.380039
hiktut 3D hexakis truncated tetrahedron 1.172604
hin 5D hemipenteract, demipenteract, hemitesseractic gyroprism, tetrahedral altersquarism, vertex figure of jak, Gosset polytope 12,1 0.790569
hinaf, hin || alt. hinnip 7D hemipenteractic alterfastegium, hin atop alternate hinnip, hin-first rotunda of hesa 0.935414
hinanit 6D hin atop nit, hin-first cap of rojak 1.290994
hinarin 6D demipenteract atop rectified penteract, demipenteract-first cap of demified icosiheptaheptacontidipeton 1.632993
hinasiphin 6D hin atop siphin, hin-first cap of sochax 1.322876
hinhi 4D hecatonicosintercepted hecatonicosachoron 2.802517
hinnip 6D hemipenteractic prism, vertex figure of ranq 0.935414
hinnit 4D hexadekintercepted tesseract 1.224745
hinoh 5D hemipenteractic pentacomb, Delone complex of lattice D5
hinpy 6D demipenteractic pyramid, vertex pyramid of jak 0.816497
hinro (alt.: hinarat) 6D demipenteractic rotunda, hin-first half of mo, hin atop rat 1
hinsc 7D demipenteractic scalene, demipenteractic-pyramid pyramid, line atop fully orthogonal demipenteract 0.866025
hint 6D demipenteractic (line-)tegum, demipenteractic dipyramid ...
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
hippy, 6pyr 3D (degenerate) hexagonal pyramid ∞   i.e. flat in euclidean space
hippyp 4D hexagon-pyramidal prism, line || hip ∞   i.e. flat in euclidean space
hirki 3D hemirhombichiro-icosahedron, compound of 5 thah 0.707107
hisquat 2D hyperbolic order 6 square tiling 0.5 i
hisquippy 5D hexagon-squippy douprism, half of hoct 1.224745
histodip 4D hexagon - octagram duoprism 1.137055
hit 5D hexadecateron 0.790569
... 4D vertex figure of hexadecateron 0.774597
hitte 4D hyperbolic (order 3) hecatonicosachoric tetracomb 2.301105 i
hittip 6D hexagon-hexagon-hexagon-triprism 1.732051
hitwadip 4D hexagon - dodecagon duoprism 2.175328
hix 5D hexateron, 5D simplex5), pyropet(id), pentachoral pyramid, regular tet-scalene, regular triangle-tettene, regular line-pennene, regular (point-)hixene, digonal gyrotrigonism, vertex figure of hop, Gosset polytope 04 0.645497
hixacube 6D hix atop edge-parallel cube 0.866025
hixadot 6D hexateron atop dodecateron, hix-first half of hax 0.866025
hixady 4D hecatonicosihexacosidishecatonicosachoron 3
hixaf 7D hexateron antifastegium, hix atop inverted hixip, hix-first cap of naq 0.866025
hixalrix 6D hexateron atop inverted rectified hexateron, hix-first rotunda of jak 0.816497
hixascad 6D hexateron atop small cellated decateron, hix-first rotunda of small terated tetradecapeton 1
hixip 6D hexateron prism, vertex figure of roc 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
hixu 6D hexateral-based ursapeton ofx3xoo3ooo3ooo3ooo&#xt, hix-based ursulate 1.048383
... 3D ho oh&#q, narrower variant of digonal antiprism 1.767767
... 3D ho3oh&#q, narrower variant of trigonal antiprism, hemiation of hip 1.118034
hoct 5D hexagon octahedron duoprism 1.224745
hocto (alt.: gecdify) 8D hemiocteract, 64(=g)+48(=c)-diminished fy, Gosset polytope 15,1 1
hocucup 4D hollow cubic cupoliprism, six tepe blend, "coord-planes squares star" atop "coord-planes squares star" 0.790569
hoddated ex 4D (shallow-)hexa-octa-diminished deep-tetra-diminished hexacosachoron 1.618034
hodho 4D hexadecoctidishemioctachoron 1
hodip 4D hexagon - octagon duoprism 1.645329
hog dhidicup 4D hollow gidhid cupoliprism 0.732444
hog dhidicup verf 3D vertex figure of hog dhidicup 0.730749
hoh honho 4D hexadecoctihemihexadekintercepted hemioctachoron 1
hoha 3D hexagonal hemiapeirogonal tesselation
hohoh 4D hexadecoctihemihexadecachoron 1
hop (old: hep) 6D heptapeton, 6D simplex6), pyroex(id), hexateral pyramid, vertex figure of oca, Gosset polytope 05 0.654654
hopabril 7D heptapeton atop birectified heptapeton, hop-first monostratic cap of hesa 0.935414
hopalbril 7D hop atop inverted bril, hop-first cap of laq 1
hopalril 7D hop atop inverted ril, hop-first cap of naq 0.866025
hopastaf 7D hop atop staf, half of suph (its hop-first rotunda), partial Stott expansion of oca 1
hopip 7D heptapeton prism, vertex figure of rene 0.823754
hopitjak (old: hoptijak) 6D demiprismatotruncated icosiheptaheptacontidipeton 3.109126
hosiap 5D hollow stellated icosatetrachoric antiprism, pseudo stico atop pseudo stico 0.790569
hossdap 4D hollow small stellated dodecahedral antiprism, pseudo sissid atop pseudo sissid 0.707107
... 4D hossdap + 2 2sissid (?) 0.707107
hot thibbit 4D hexagonal-omnitruncated-trihexagonal duoprismatic tetracomb
hotjak 6D demitruncated icosiheptapeton 2.828427
howoh 5D hexadecasphenohexadecateron, cantellated hexadecahemidecateron 1.732051
... 4D vertex figure of hexadecasphenohexadecateron 0.957427
hudsi 3D dual of H-stellation of icosahedron, H-faceting of dodecahedron, vertex figure of paphacki, huitzilopochtli 0.866025
huhoh 4D hexadecahemihexadecachoron 1
huht 2D hexahexagonal tiling
... 3D (infinite series of) hyperbolic uniform honeycombs with pyritohedral vertex figure


ica sidpith, ico || sidpith 5D icositetrachoron atop small disprismatotesseractihexadecachoron 1.847759
ica tutcup, ico || tutcup 5D icositetrachoron atop truncated-tetrahedral-cupoliprism 1.224745
icaf (alt.: icalicope) 6D icositetrachoron antifastegium, icositetrachoron atop inverted icositetrachoral-prism 1.123033
icarico 5D (degenerate) ico atop rico ∞   i.e. flat in euclidean space
icarit, ico || rit 5D icositetrachoron atop rectified tesseract, ico-first half of nit 1.224745
icates, ico || tes 5D icositetrachoron atop tesseract 1.050501
icathex 5D ico atop thex, ico-first segment of sart 1.732051
icau pretasto 4D icositetra-augmented pentagonorhombic-trisnub-trisoctachoron
icau prissi 4D icositetra-augmented prismatorhombisnub icositetrachoron
ico 4D icositetrachoron, 24-cell, xylochoron, octaplex, rectified hexadecachoron, birectified tesseract, vertex figure of hext, Voronoi cell of lattice F4, Voronoi cell of lattice D4*, surtegmated tesseract, Gosset polytope 01,1,1, lattice B4 contact polytope (span of its small roots), lattice D4 contact polytope (span of its roots), lattice F4 contact polytope (span of its small roots) 1
... 4D ico+gico+72{4} (?) 1
... 4D ico+gico+24co (?) 1
..., ico || sadi 5D ico atop sadi ∞   i.e. flat in euclidean space
..., ico || spic 5D (degenerate) ico atop spic ∞   i.e. flat in euclidean space
..., ico || srit 5D (degenerate) ico atop srit ∞   i.e. flat in euclidean space
icoap (alt.: icoalico) 5D icositetrachoral antiprism, icositetrachoron atop dual icositetrachoron 1.050501
icodip 8D icositetrachoron duoprism 1.414214
icope 5D icositetrachoron prism 1.118034
icopy 5D (degenerate) ico pyramid ∞   i.e. flat in euclidean space
icot 4D icositetrachoric tetracomb, Voronoi complex of body-centered tesseractic (bct) lattice, Gosset polytope 01,1,1,1
icou 5D icositetrachoral-based ursateron ofx3xoo4ooo3ooo&#xt, ico-based ursulate 1.738546
icoy 9D icosayotton, quadrirectified decayotton, equatorial cross-section of (vertex first) 1/q-deker, Gosset polytope 04,4 1.118034
id 3D icosidodecahedron, rectified icosahedron, rectified dodecahedron 1.618034
... 3D id+seihid+sidhid (?) 1.618034
... 4D (0,0,20,0,0)-diminished vertex-first-rotunda of ex, icosi-diminished vertex-first-rotunda of ex, mono-augmented axially-icosahedral ursachoron ofxo3xooo5oooo&#xt 1.618034
... 4D id - srid - F-ike - ti tower, thawro'd rox ...
idasrid, id || srid, K-4.131 4D icosidodecahedron atop small rhombicosidodecahedron, icosidodecahedron cupola, ike-first supra-cap of rox 3.077684
idasridati 4D id atop srid atop ti
idati, id || ti, K-4.158 4D icosidodecahedron atop truncated icosahedron, icosidodecahedral cap of small rhombated hexacosachoron 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 1.414214
idim sidpixhi 4D icosa-diminished small disprismatohexacosihecatonicosachoron 5.236068
idimex 4D spid-diminished ex, icosidiminished ex 1.618034
idimsrahi 4D icosa-diminished small rhombated hecatonicosachoron 6.735034
idimsrix 4D icosa-diminished small rhombated hexacosachoron 6.073594
idinaq (alt.: trahixdap) 7D icosa-diminished naq, triangular-hexateric duoalterprism 0.866025
idirek 8D icositetra-diminished rectified diacosipentacontahexazetton 1
idisdid 3D invertidisnub dodecadodecahedron, compound of 2 isdid
idodip 6D icosidodecahedron-icosidodecahedron duoprism 2.288246
idprahi 4D icositetra-diminished prismatorhombated hecatonicosachoron 8.278950
idprix 4D icositetra-diminished prismatorhombated hexacosachoron 9.744610
idsid pixhi 4D icositetra-diminished small disprismatohexacosihecatonicosachoron 5.236068
idsrahi 4D icositetra-diminished small rhombated hecatonicosachoron 6.735034
idsrix 4D 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
ikadoaid 4D (1,0,0,12,0)-diminished vertex-first-rotunda of ex, trideca-diminished vertex-first rotunda of hexacosachoron, ike atop (pseudo) doe atop id 1.618034
ikadoe (alt.: ikap), ike || doe, K-4.78 4D icosahedron atop dodecahedron, icosahedral antiprism, dodecahedral antiprism, segment of vertex-first hexacosachoron 1.618034
ikaid, ike || id, K-4.137 4D icosahedron atop icosidodecahedron, icosahedral cap of rectified hexacosachoron, icosahedral cupola 3.077684
ike   (alt.: snit) 3D icosahedron, snub tetrahedron, snub tetratetrahedron, snub triangle antiprism, hydrohedron, gyroelongated pentagonal bipyramid, vertex figure of ex 0.951057
... 3D ike+3gad (?) 0.951057
... 3D icosahedrally truncated rhombic triacontahedron, chamfered dodecahedron, Goldberg polyhedron GP(2,0)
... 4D (1,0,8,12,0)-diminished vertex-first-rotunda of ex, (subsymmetrical) icosiena -diminished vertex-first rotunda of hexacosachoron 1.618034
..., ike || dope 5D (degenerate) ike atop dope ∞   i.e. flat in euclidean space
... 4D (1,0,4,12,0)-diminished vertex-first-rotunda of ex, heptadeca-diminished vertex-first rotunda of hexacosachoron 1.618034
ikedip 6D icosahedron-icosahedron duoprism 1.344997
ikedoe 6D icosahedron-dodecahedron duoprism 1.693527
ikepy, K-4.84 4D icosahedral pyramid, vertex cap of hexacosachoron 1.618034
ikhon 3D hyperbolic order 3 icosahedral honeycomb 0.509376 i
ikid 6D icosahedron-icosidodecahedron duoprism 1.876844
iktum 4D bistratic icosahedron-first cap of truncated hexacosachoron, ike-based tutsatope, ike-based tutism 4.643523
iku 4D (1,0,20,0,0)-diminished vertex-first-rotunda of ex, (full-symmetrical) icosiena -diminished vertex-first-rotunda of ex, axially-icosahedral ursachoron ofx3xoo5ooo&#xt, ike-based ursulate 1.618034
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
iquipadah 4D inverted quasiprismatodishexadecachoron 1.485633
irl 5D invertiretrolepidoteron 1.224745
... 4D vertex figure of invertiretrolepidoteron 0.912871
irohlohn 5D invertiretrohexadecalepidohemipenteract 1.224745
... 4D vertex figure of invertiretrohexadecalepidohemipenteract 0.912871
isdid 3D inverted snub dodecadodecahedron, vertisnub dodecadodecahedron, nyarlathotep
isdiddip 4D inverted-snub-dodecadodecahedron prism
ite (old: it, older: ikedpy) 4D (line-)ikosahedron-tegum, icosahedral bipyramid


jak (old: yaz) 6D icosiheptaheptacontidipeton, Gosset polypeton 22,1, vertex figure of naq, Delone cell of lattice E6 0.816497
jaka (alt.: pabdinaq, old: jakaljak) 7D jak alterprism, jak atop inverted jak, vertex-first medial segment of naq, parabidiminished naq 0.866025
jakaf (old: jakaljakip) 8D icosiheptaheptacontidipeton alterfastegium, icosiheptaheptacontidipeton atop inverted icosiheptaheptacontidipeton-prism 1
jakamo 7D jak atop mo, jak-first half of parabidiminished laq 1
jakap 8D jaka prism, jakip alterprism 1
jakatrim 7D jak atop trim, jak-first cap of stanq 1.658312
jakip 7D icosihepta-heptacontidi-peton prism, vertex figure of riffy 0.957427
jakoh 6D icosiheptaheptacontidipetic hexacomb, Gosset hexacomb 22,2, Delone complex of lattice E6
jakpy 7D icosihepta-heptacontidi-peton pyramid, vertex-first cap of naq 0.866025


ka 10D chilliaicositetraxennon, decacross10), aerodak(id), decayottal antiprism, Gosset polytope 71,1, lattice C10 contact polytope (span of its small roots) 0.707107
kadify 8D heptacontadia-diminished dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, tegum sum of two mutually inverted birectified enneazetta, bidiambooctadecazetton 1
kafandoh 5D spikifacetospinodishexadecateron 1.620185
... 4D vertex figure of spikifacetospinodishexadecateron 0.951190
kaje 6D heptacontidiaicosiheptapeton, vertex figure of quil 0.816497
kavahto 4D skewverted hexadecatrisoctachoron 1.414214
kavipathi 4D skewverted prismatotrishecatonicosachoron 2.828427
kaviphdit 4D skewverted prismatohexadecadistesseract 1.414214
kepisna 4D chiropental snubbachoron, chiral compound of 6 ex in rox army 1.618034
ki 3D chiro-icosahedron, compound of 5 tet 0.612372
kidisna 4D chiro-icosahedronary disnubbachoron, chiral compound of 10 ex in rahi army 1.618034
kitapna 4D chirotrigonal antiprismattic enenahexachoron, chiral compound of 4 ico in rico army 1
kitefa 4D chirotegmic hecatontetracontatetrachoron, chiral compound of 6 ico in spic army 1
koho 4D skew octahemioctachoron 0.707107
kred (old: red) 3D chiro-rhombidodecahedron, compound of 6 pip 0.986715
kri 3D chirorhombicosahedron, compound of 10 trip 0.763763


laq 7D pentacontihexapentacosiheptacontihexaexon, Gosset polyexon 21,3, vertex figure of naquoh, lattice E7 contact polytope (span of its roots) 1
laqalin 8D pentacontihexapentacosiheptacontihexaexon atop pentacontihexahecatonicosihexaexon, 21,3 atop 12,3 , laq-first cap of bay, 21,3 -first cap of 21,4 1.414214
laqpe 8D pentacontihexapentacosiheptacontihexaexon prism 1.118034
lawx 5D ???-sphenary hexateron 1.290994
lifpipixhi 4D polar facetopental prismatohexacosahecatonicosachoron 3.077684
lin 7D pentacontihexahecatonicosihexaexon, Gosset polyexon 12,3, Voronoi cell of lattice E7* 1.322876
linaranq 8D pentacontihexahecatonicosihexaexon atop rectified pentacontihexapentacosiheptacontihexaexon, laq-first subsegment of bay 1.414214
linoh 7D pentacontihexahecatonicosihexaexic heptacomb, Gosset heptacomb 13,3, Voronoi complex of lattice E7*
... 3D lamina-truncate of hyperbolic o8o4x *b3x tesselation 0.321797 i
... 4D lamina-truncate of hyperbolic x3x4x338o tesselation 1.864101 i
... 3D lamina-truncate of hyperbolic x4x3o8o tesselation 0.594604 i


... 3D dual of uniform triangular prism, triangular dipyramid (but not tridpy), o3m3o3o cell
... 3D dual of uniform n-gonal prism, n-gonal dipyramid
... 4D great-rhombated-pentachoron dual
... 4D small-rhombated-pentachoron dual
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
mabirch 3D medial birhombatocubic honeycomb
mabred 4D medial birhombatodecachoron sqrt[(2a2+2ab+3b2)/5]
mabric 4D medial birhombatotetracontoctachoron sqrt[a2 + 2 sqrt(2) ab + 3b2]
madek 6D pentacontatetradisheptacontadipeton, compound of 2 jak 0.816497
magydrid, J78 3D metagyrate diminished rhombicosidodecahedron 2.232951
mardatathi 4D medial retroditetrahedral triakishecatonicosachoron 1.414214
medrojak (alt.: tritith) 6D pentacontitetra-diminished rojak, tri - (triangle,triangle,hexagon)-trioprism 1.290994
mesdi 4D medial snub disicositetrachoron 1
mesdi-verf 3D vertex figure of medial snub disicositetrachoron 0.866025
mibdi, J62 3D metabidiminished icosahedron 0.951057
mibdiadoe, mibdi || doe, K-4.82 4D metabidiminished icosahedron atop dodecahedron, metabidiminished segment of vertex-first hexacosachoron 1.618034
mibdinit 5D metabidiminished nit, rectified bidhin 1.224745
mibdip 4D metabidiminished-icosahedron prism 1.074481
mibdipy, K-4.87 4D metabidiminished-icosahedral pyramid 1.618034
mibdirit 4D metabidiminished rectified tesseract, wedge-diminished rectified tesseract, bistratic cuboctahedron based wedge 1.224745
mibkid 3D metabikis dodecahedron, (subsymmetrically) metabistellated-dodecahedron, dual of mibdi
middit thix 4D medial ditrigonal trishecatonicosihexacosachoron 1.732051
mif pixady 4D circumfacetopental hexacosadishecatonicosachoron 0.726543
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, vertex figure of jakoh, lattice E6 contact polytope (span of its roots) 1
moarojak 7D mo-first monostratic cap of lin, mo atop rojak 1.322876
mohiny 4D medial hecatonicosintercepted hecatonicosachoron 1.070466
... 3D mono lowered small rhombicuboctahedron ...
... 3D mono lowered truncated cube ...
mrawv hixhi 4D medial retrosphenoverted hecatonicosihexacosihecatonicosachoron 3.963358
mriphi 4D medial retropental hecatonicosachoron 1.902113


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-dafup 5D (n,m)-duoantifastegiaprism, (n,m)-duoantiwedge, (n,m)-dip atop bidual (n,m)-dip sqrt([2+1/(1-cos(pi/n))+1/(1-cos(pi/m))]/8)
n,m-dap 6D n-gon - m-gon duoantiprism, hemiated 2n-gon - 2m-gon duoprism sqrt[A2/(4 sin2(π/2n))+B2/(4 sin2(π/2m))]
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 sqrt[1/(4 sin2(π d/n))+2/5]
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, n-gonal duofastegium, n-gonal prism disphenoid sqrt[3/8+1/(4 sin2(π/n))]
n,tet-dippip 6D n-gon - tetrahedron duoprismatic prism
n,ti-dip 5D n-gon - truncated-icosahedron duoprism sqrt[(29+9 sqrt(5))/8+1/(4 sin2(π/n))]
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,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-af, K-4.174 4D n-gonal antifastegium, n-gonal - n-antiprismatic wedge, {n} || gyro n-prism sqrt[(1+2 cos(π/n)-2 cos2(π/n))/(2+4 cos(π/n)-6 cos2(π/n))]
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))]
n-appy 4D n-antiprismatical pyramid sqrt[(2-2 cos(π/n))/(5-6 cos(π/n))]
n-apt 4D (line-)n-antiprismatic tegum, n-antiprismatic bipyramid, n-pyramidal antiprism
n-aw, {2n} || n-ap 4D anti-n-wedge, n-gonal anti-wedge, 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))]
n-azedip 3D n-gonal - apeirogonal duoprism
... 4D n-fold dissected cubic polytwister, n-fold dissected cubiter, cubiswirlic 6n-choron ...
n-cuf 4D n-gonal cupofastegium, 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))]
n-cufbil 4D n-gonal cupofastegia biluna
n-dep 4D n-gonal duoexpandoprism, expanded n-n-duoprism, tegum sum of 2 alternated n-2n-duoprisms sqrt[1/(4 sin2(π/2n))+1/(4 sin2(π/n))]
... 4D n-fold dissected dodecahedron polytwister, n-fold dissected doter, dodecaswirlic 12n-choron ...
... 4D n-fold dissected great-dodecahedral polytwister, n-fold dissected gaditer, great-dodecaswirlic 12n-choron ...
n-gytpuf 4D n-gonal gyrotegmicupolafastegium, n-cupola atop inverted gyrated n-cupola, 2n-prismatic gyrated bi-wedge
... 4D n-fold dissected icosahedral polytwister, n-fold dissected ikter, icosaswirlic 20n-choron ...
... 4D (n,m)-double antiprismatoid ...
n-m-det 4D (n,m)-ditetragoltriate ...
... 4D n-fold dissected octahedral polytwister, n-fold dissected octer, octaswirlic 8n-choron ...
n-p 3D n-gonal prism sqrt[1/4+1/(4 sin2(π/n))]
n-pidpy 4D n-prismatic bipyramid
n-pipy 4D n-prism pyramid, general vertex pyramid of o-3-x-3-o-n-o 1/sqrt[3 - 1/sin2(π/n)]
n-puf 4D n-gonal pucofastegium, 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-sc, n-pyr-pyr 4D {n}-scalene, {n}-pyramidal pyramid, n tet rosette, line atop fully orthogonal {n} sqrt[(4 sin2(π/n)-1)/(3 sin2(π/n)-1)]/2
n-tepuf 4D n-gonal tegmipucofastegium, n-cupola atop inverted ortho n-cupola, 2n-prismatic ortho bi-wedge
... 4D n-fold dissected tetrahedral polytwister, n-fold dissected tetter, tetraswirlic 4n-choron ...
n/2-ap 3D n/2 antiprism sqrt[(3-2 cos(2π/n))/(8-8 cos(2π/n))]
n/d,2n/d-dip 4D n/d-gram - 2n/d-gram duoprism sqrt[1/(4 sin2(π d/n))+1/(4 sin2(π d/2n))]
n/d,2n/d-dipcup 5D n/d,2n/d-dip cupoliprism sqrt([7+4 cos(π d/n)-2 cos2(π d/n)]/[8-8 cos2(π d/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-af 4D n/d-grammal antifastegium, n/d-grammal - n/d-antiprismatic wedge, {n/d} || gyro n/d-prism sqrt[(1+2 cos(π d/n)-2 cos2(π d/n))/(2+4 cos(π d/n)-6 cos2(π d/n))]
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 sqrt[(7+4 cos(π d/n)-4 cos2(π d/n))/(12-16 cos2(π d/n))]
n/d-cuf 4D n/d-grammal cupofastegium, 2n-gon - n/d-prismatic wedge, n/d-grammal orthobicupolaic ring, {2n/d} || n/d-prism, {n/d} || n/d-cupola sqrt[(5+2 cos(π d/n)-4cos2(π d/n))/(8-12 cos2(π d/n))]
n/d-cupe 4D n/d-cupola prism, n/d-prism atop 2n/d-prism sqrt[(5+2 cos(π d/n)-4 cos2(π d/n))/(6-8 cos2(π d/n))]
n/d-daf 5D n/d-duoantifastegium, (2,n)-duoantiwedge, n/d-p atop bidual n/d-p sqrt([3+1/(1-cos(pi d/n))]/8)
n/d-dow 5D n/d-grammal disphenoid, n/d-grammal biwedge, {n/d} || perp {n/d} sqrt[1+1/(2 sin2(π d/n))]/2
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/sin2(πd/n)]
n/d-pyp 4D n/d-pyramidal prism, line || n/d-prism sqrt[1/4+1/(4-1/sin2[π d/n])]
nal 7D hecatonicosihexa-pentacontihexa-exon, vertex figure of fib 0.866025
naq (alt: rocalroc) 7D hecatonicosihexapentacosiheptacontihexaexon, Gosset polyexon 32,1, vertex figure of fy, (one of the) Delone cell(s) of lattice E7, tegum sum of 2 mutually inverted rectified octaexa, biambohexadecaexon, lattice E7* contact polytope (span of its roots) 0.866025
naqpe 8D naq prism, prism of Gosset polyexon 32,1 , vertex figure of rigoh 1
naquiptant 5D penteractiquasiprismatotruncated penteractitriacontaditeron 1.621320
naquitant 5D penteractiquasitruncated penteractitriacontaditeron 1.354911
naquoh 7D hecatonicosihexapentacosiheptacontihexaexic heptacomb, Gosset heptacomb 33,1, Delone complex of lattice E7
narptint 5D penteractiretroprismatotruncated penteractitriacontaditeron 2.621320
nat 5D spinotriacontaditeron 1.224745
... 4D vertex figure of spinotriacontaditeron 0.912871
... 4D n/d-grammic retroantiprismatic hemiantiprism 0.707107
nipdip 4D spinoprismatodispentachoron 1
nipixady 4D intercepted invertopental hexacosadishecatonicosachoron 3.077684
nippant 5D penteractiprismated penteractitriacontaditeron 3.505073
niptant 5D penteractiprismatotruncated penteractitriacontaditeron 2.621320
nit 5D penteractitriacontiditeron, birectified penteract, birectified triacontiditeron, birectified pentacross, Gosset polytope 02,1,1 1.224745
nitarin 6D nit atop rin, nit-first rotunda of brox 1.414214
nitasiphin 6D nit atop siphin, hin-first medial segment of rojak 1.290994
nitasirhin 6D nit atop sirhin, nit-first cap of ram 1.732051
nitip 6D penteractitriacontiditeron prism 1.322876
... 3D noble {9,3} modwrap within srid 2.232951
noqrant 5D penteractiquasirhombated penteractitriacontaditeron 1.849749
noqraptant 5D penteractiquasiretroprismatotruncated penteractitriacontaditeron 1.621320
noquapant 5D penteractiquasiprismated penteractitriacontaditeron 2.283521
nottant 5D penteractitruncated penteractitriacontaditeron 2.159679
nurrant 5D penteractirhombated penteractitriacontaditeron 3.013043


... 4D omni-pecu-augmented (10,10)-duoprism
... 4D omni-pecu-augmented (10,20)-duoprism
... 4D omni-pippy-augmented (5,10)-duoprism
... 4D omni-pippy-augmented (5,20)-duoprism
... 4D omni-pecu-gyroaugmented (10,10)-duoprism
... 4D omni-pecu-gyroaugmented (10,20)-duoprism
... 6D tetradecapeton dual 0.774597
... 6D pentacontitetrapeton dual, convex hull of madek 0.816497
... 5D hyperbolic order 3 icositetrachoric-tetracomb pentacomb 1 i
... 3D hyperbolic o3o3o4s4*a tesselation
... 3D hyperbolic o3o3o4x4*a tesselation 0.5 i
... 4D hyperbolic order 3 small-stellated-hecatonicosachoral tetracomb 0.242934 i
... 4D o3o3β4o (?) ...
... 4D o3o3β4x (?) ...
... 4D o3o3β5o (?) ...
... 4D o3o3β5x (?) ...
... 3D hyperbolic o3o4o8x tesselation 0.400236 i
... 3D hyperbolic o3o4s4o4*a tesselation
... 3D hyperbolic o3o4x4o4*a tesselation 0.292893 i
... 3D hyperbolic o3o4x4o4*b tesselation 0.216606 i
... 2D hyperbolic tetrapentagonal tiling of family o3o4o5*a 0.438176 i
... 3D hyperbolic o3o5o10x tesselation 0.202376 i
... 4D hyperbolic great-hecatonicosachoral tetracomb 0.393076 i
... 3D hyperbolic o3o5x5o5*b tesselation
... 2D hyperbolic order 3 tritetragonal tiling 0.728238 i
... 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 cyclotruncated tetrahedral-icosahedral honeycomb 0.786151 i
... 2D hyperbolic tritetragonal tiling of family o3o4o5*a 0.297397 i
... 3D o3x4q, variation of truncated cube, hull of sno 2.121320
... 3D o3x4u, variation of truncated cube 2.613126
... 3D hyperbolic o3x4x3o5*a tesselation
... 4D hyperbolic o3x4x3o8o tesselation 0.594604 i
... 2D hyperbolic ditetragonal tiling of family o3o4o5*a 0.921730 i
... 3D hyperbolic o3x5x3o5*a tesselation
... 3D hyperbolic o4o3x3x3*b tesselation 1 i
... 3D family of (generally hypercompact) hyperbolic o4s4o2Qo honeycombs (Q≥2)
... 3D family of hyperbolic o4s4oPo honeycombs (P≠2)
... 3D o4x3o5β (?) ...
... 3D family of (generally hypercompact) hyperbolic o4x4o2Qo honeycombs (Q≥2)
o4x4oP*a 2D family of (generally hyperbolic) order 2P square tilings
... 3D family of hyperbolic o4x4oPo honeycombs (P≠2)
... 3D o5/2f5x variation of truncated great dodecahedron 2.478019
... 3D o5/2β5o (?) ...
... 3D o5/2β5x (?) ...
... 4D hyperbolic birectified order 5 hecatonicosachoric tetracomb 0.747674 i
... 3D o5x3o5β (?) ...
... 3D hyperbolic o8o4x *b3x tesselation 0.321797 i
... 4D icositetrachoron-derived Gévay polychoron, rectified o3m4o3o ...
... 4D tesseract-derived Gévay polychoron, rectified o4m3o3o ...
... 4D hecatonicosachoron-derived Gévay polychoron, rectified o5m3o3o ...
oaf, K-4.58 4D octagonal antifastegium, octagon - oap wedge, {8} || gyro op 1.409438
oap, 8-ap 3D octagonal antiprism 1.375549
oappip, K-4.65 4D octagonal-antiprism prism 1.463603
... 3D (hi derived) truncated tridpy variant, o2o3o symmetric co relative ...
... 3D (ico derived) truncated tridpy variant, o2o3o symmetric co relative ...
... 3D (tes derived) truncated tridpy variant, o2o3o symmetric co relative ...
oca (old: oc) 7D octaexon, 7D simplex7), pyrozett(id), heptapetal pyramid, vertex figure of ene, (one of the) Delone cell(s) of lattice E7, Gosset polytope 06 0.661438
ocalroc 8D oca atop inverted roc, oca-first cap of fy 1
ocat 2D hyperbolic order 3 octagonal tiling 1.345608 i
oco (old: occo) 5D octagon cuboctahedron duoprism 1.645329
ococat 2D hyperbolic order 8 octagonal tiling 0.227545 i
ocpe 8D octaexon prism, vertex figure of reday 0.829156
oct (alt.: trap, tatet) 3D octahedron, rectified tetrahedron, tricross3), tetratetrahedron, aerochor(id), trigonal antiprism, larger Delone cell of face-centered cubic (fcc) lattice, equatorial cross-section of (vertex first) 1/q-tes, vertex figure of hex, Gosset polytope 01,1, lattice C3 contact polytope (span of its small roots) 0.707107
... 3D oct+6{4} (?) 0.707107
... 3D octahedrally truncated rhombic dodecahedron, chamfered cube
... 4D augmented axially-tetrahedral ursachoron ofxo3xooo3oooo&#xt ...
... 4D oxFxofx3xooxFxo3ofxfooo&#xt   (F=ff=x+f)
... 4D oxFxoo3xooxFx3ofxfox&#xt   (F=ff=x+f)
... 4D oxFxofx3xfoxFxo3ooxfooo&#xt   (F=ff=x+f)
... 4D oxFxoo3xfoxFx3ooxfox&#xt   (F=ff=x+f)
octa tethex 8D oct atop tethex 1
octa tratet 6D oct atop tratet, oct-first cap of ril 0.845154
octa tutcup, oct || tutcup 5D oct atop tuta 1.274755
octaco, K-4.29 4D octahedron atop cuboctahedron, half of icositetrachoron (its oct-first rotunda), rectified octahedron-pyramid 1
octacope 5D oct atop cope, oct-first cap of nit 1.224745
octacube (alt.: octap), oct || cube, K-4.15 4D octahedron atop cube, octahedral antiprism, cubical antiprism, vertex figure of icoap 0.879465
octasc 5D octahedral scalene, octahedron-pyramid pyramid, line atop fully orthogonal octahedron, 1/4-lune of triacontiditeron 0.707107
octasirco, oct || sirco, K-4.107 4D octahedron atop small rhombicuboctahedron, octahedral cap of small prismatotetracontoctachoron 1.847759
octasircoacube 4D oct atop sirco atop cube
octatepe (alt.: tettet octtric) 5D oct atop tepe, diminished rix, (tet,tet,oct)-trigonic 0.816497
octatetdip 7D oct atop tetdip, oct-first half of roc 0.866025
octatoe, oct || toe 4D (degenerate) octahedron atop truncated octahedron ∞   i.e. flat in euclidean space
octatricu, oct || tricu, K-4.30 4D octahedron atop trigonal cupola, 2/6-luna of icositetrachoron 1
octatut, oct || tut, K-4.52 4D octahedron atop truncated tetrahedron, octahedral cap of small rhombated pentachoron 1.183216
... 4D octatut,tricuf-blend
octatutbicu 4D octatut bicupola ...
octatuttip (alt.: octtut tuttric) 5D oct atop tuttip, (oct,tut,tut)-trigonic 1.414214
octco 6D octahedron-cuboctahedron duoprism 1.224745
octco tuttric 5D (oct,co,tut)-trigonic 1.224745
octcube 6D octahedron-cube duoprism 1.118034
octdip 6D octahedron-octahedron duoprism, dual of Delone cell of lattice D6*, vertex figure of traxh 1
octdoe 6D octahedron-dodecahedron duoprism 1.569562
octepe 7D octahedral pennene 0.707107
octet 3D alternated cubic honeycomb, tetrahedral-octahedral honeycomb, Delone complex of face-centered cubic (fcc) lattice
... 3D alternated cubically truncated rhombic dodecahedral honeycomb
octete 6D octahedral tettene, octahedral-pyramid pyramid pyramid, triangle atop fully orthogonal octahedron 0.707107
octh 3D hyperbolic order 4 octahedral honeycomb 0 i
octhex 7D octahedron - hexadecachoron duoprism, vertex figure of troch 1
octhipdaw (alt.: traporhip) 5D (oct,hip)-disphenoid, trigonal antiprism atop axis-orthogonal hexagonal prism 1.224745
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-polytope8), geoyott(id) 1.414214
octpen 7D octahedron - pentachoron duoprism, vertex figure of tro 0.948683
octpy || octaco 5D 1/4-lune of rectified triacontiditeron, octahedron-pyramid atop octhedron-first-rotunda-of-icositetrachoron 1
octpy, K-4.3 4D octahedral pyramid, half of hex (its vertex-first rotunda) 0.707107
octpyp, line||ope 5D octahedron-prismatic wedge, line atop ope, octahedral-pyramid prism, half of hexip 0.866025
octrap 7D octahedron - rectified-pentachoron duoprism 1.048809
octsnich 4D hyperbolic octahedral - snub-cubic honeycomb 0.380999 i
octu 4D axially-octahedral ursachoron ofx3xoo4ooo&#xt, oct-based ursulate, vertex figure of s3s4o3o4o 1.144123
octum 4D octahedron-first rotunda of truncated hexadecachoron, oct-based tutsatope, oct-based tutism 1.581139
ocube 5D octagon - cube duoprism 1.567516
oddimo (alt.: bittip) 6D octadeca-diminished mo, bitriangular trioprism, triangular trioalterprism 1
odedip 4D octagon-decagon duoprism 2.079697
odho 4D octidishemioctachoron 1
... 4D octa-diminished thawro-wedged 2/6-luna of hexacosachoron ...
odinaq 7D octa-diminished naq 0.866025
odip 4D octagon-octagon duoprism 1.847759
odipt 4D octagonal-duoprismatic tetracomb 0.321797 i
odnit 5D octadiminished nit 1.224745
odoe 5D octagon - dodecahedron duoprism 1.915889
odsnic 3D octadiminished snub cube, chiral 4fold dodecahedron-like barrel, vertex figure of octsnich 1.343713
... 4D oFfoo3ooxxF3Fxoxo3ooffx&#zx
... 4D oFFxx3xxoof3fooxo3ooffx&#zx
... 4D oFFxx3xxoof3fooxx3xxFFo&#zx
... 4D oFFxx3xxoxf3Fxxox3oofFx&#zx
ofiddady 4D omnifacetododecahedronary dishecatonicosachoron 1
... 4D ofoxFxo3xxFxoox3xoofxfo&#xt   (F=ff=x+f)
ofpipixhi 4D omnifacetopental prismatohexacosahecatonicosachoron 0.726543
..., ofx3xoo4ooo&#xt || o3o4x 5D cube atop (oct,co)-ursachoron, (oct,co)-ursachoron based wedge 1.994779
... 4D oFxFox5AxFoFx2oxofox5ooxofx&#zx
... 4D oFxx3xxof3foxo3oofx&#zx
... 4D axially pyritohedral octa-diminishing of telex, hexa-diminishing of oofoo3oxoxo5xooox&#xt
... 4D oFxxox5Fofxfo oxofox5ooxofx&#zx
... 4D oFxxx5Fofxo oxofx5ooxox&#zx
ogirco 5D octagon - great-rhombicuboctahedron duoprism 2.660531
ogpy, 8/3-pyr 3D octagrammic pyramid 0.594604
ogrid 5D octagon - great-rhombicosidodecahedron duoprism 4.020611
oh 4D octahemihexadecachoron 1
ohix 7D octagon - hexateron duoprism 1.457317
oho 3D octahemioctahedron, facetorectified cube, allelotetratetrahedron 1
... 3D oho+8{3} 1
ohope 4D octahemioctahedron prism 1.118034
ohopy, pt || oho 4D (degenerate) octahemioctahedron pyramid ∞   i.e. flat in euclidean space
ohuhoh 4D octihexadecahemihexadecachoron 1
oid 5D octagon-icosidodecahedron duoprism 2.079697
oike 5D octagon-icosahedron duoprism 1.616049
omfapaxady 4D omnicircumfacetopental hexacosadishecatonicosachoron 0.726543
ondip 4D octagonal spinoduoprism 1.485633
... 4D medial tetrastratic segment of telex
... 4D ooofxfooo3xoxxoxxox5ofxofoxfo&#xt
... 4D ooofxxFfooFoofo3oxFxoFxxxFooFxx3xfoxFoofFxxFoox&#xt
... 4D ooofxxFfooFxofx3oxFxoFxxxFoxFxo3xfoxFoofFxxfooo&#xt
... 4D oooxfxooo3xoxoxoxox5ofxfofxfo&#xt
... 4D ooxf3xfox3oxFx&#xt
op 3D octagonal prism, bidiminished small rhombicuboctahedron 1.398966
opatic, op || tic, K-4.106 4D octagonal prism atop truncated cube 1.847759
ope, K-4.11 (alt: dytpuf) 4D octahedron prism, vertex figure of rat, dyadic tegmipucofastegium 0.866025
opeaco 5D octahedron-prism atop cuboctahedron, diminished 1/4-lune of rat 1
opeacope 5D ope atop cope, octaco-prism, ope-first half of icope 1.118034
opeah 5D ope atop hexagon, (trip,gyro trip,hexagon)-trigonic 1
opeatut (alt.: octoct tuttric) 5D ope atop tut, (oct,oct,tut)-trigonic 1.190238
opeatuttip 5D ope atop tuttip, octatut-prism, ope-first cap of srippip 1.284523
open 6D octagon-pentachoron duoprism 1.614654
opepy 5D octahedral-prismatic pyramid, vertex pyramid of rectified triacontiditeron 1
opet 5D octahedral-prism tegum, (line, octahedral prism) duotegum ...
... 3D oq ou&#h squippy variant 1.224745
... 4D pentachoron-derived Gévay polychoron, rectified o3m3o3o 1.095445
... 4D hexacosachoron-derived Gévay polychoron, rectified o3m3o5o 6.412847
... 3D oq4oo&#h squippy variant 1.060660
... 3D oqo3ooq&#xt, cubera (cube chimera), (fully) mono-truncated cube 0.866025
... 3D truncated pedpy variant, o2o5o symmetric co relative 1.203002
osirco 5D octagon small-rhombicuboctahedron duoprism 1.914214
osquat 2D hyperbolic order 8 square tiling 0.321797 i
osrid 5D octagon - small-rhombicosidodecahedron duoprism 2.587117
ostodip 4D octagon-octagram duoprism 1.414214
otacoh 3D hyperbolic x3x4x3x4*a tesselation, omnitruncated cubic-octahderal honeycomb 2.197368 i
otathisbit 4D omnitruncated-trihexagonal-square duoprismatic tetracomb
otbaquitit 4D octagonnally tetrablended quasitruncated tesseract 0.615370
otbott 4D octagonnally tetrablended truncated tesseract 2.149726
otcypit 4D omnitruncated cyclopentachoric tetracomb, great-prismatodecachoric tetracomb, Voronoi complex of lattice A4*
otet 5D octagon-tetrahedron duoprism, octagon duofastegium 1.442951
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
otitch 3D hyperbolic x3x3x3x4*a tesselation, omnitruncated tetrahedral-cubic honeycomb 2.942253 i
otoe (old: otto) 5D octagon truncated-octahedron duoprism 2.051123
otrat 2D hyperbolic order 8 triangular tiling 0.594604 i
otut 5D octagon - truncated-tetrahedron duoprism 1.755593
otwadip 4D octagon - dodecagon duoprism 2.332200
owau prit   (alt.: pox spic, alt.: phic prico) 4D octa-augmented prismatorhombated tesseract, partially octa-expanded small prismated (dis)icositetrachoron, partially hexadeca-contracted prismatorhombated icositetrachoron
owaudope 4D omni-augmented dodecahedral-prism
owoct 5D octagon octahedron duoprism 1.485633
... 3D vertex figure of thex 0.948683
... 3D vertex figure of ope 0.816497
... 3D 20 thawroes toroid
... 4D oxFxofo3xfoxFxx3ooxfoox&#xt   (F=ff=x+f)
... 6D (mono) tetal tratet augmented tetdip 0.866025
... 7D oxo3ooo3ooo3xoo3ooo3oxx&#xt 1
... 4D oxofofoxo3oofoxofoo5xxoxxxoxx&#xt
... 4D oxofxfooo3xxxxoxxox5ooxofoxfo&#xt
... 4D oxofxfoxo3xxFxoxFxx5xxoxFxoxx&#xt
... 4D oxofxfoxo3xxxxoxxxx5ooxofoxoo&#xt
... 4D oxoofooxo3oofxoxfoo5xxoxxxoxx&#xt
... 4D oxoxfxooo3xxxoxoxox5ooxfofxfo&#xt
... 4D oxoxfxoxo3xxxoxoxxx5ooxfofxoo&#xt
... 4D oxqw wxwx3ooxx4qwox&#zx
... 4D oxqwQ wxwxx3ooxxx4qwoxo&#zx
... 3D octagonal Leonardo style "polyhedron of renaissance", vertex figure of lamina-trunc(o8o4xb3x) 1.847759
... 4D proh-cap augmented bistratic prit-cap ...
... 4D oxwQ wxoo3xxxx4oxxo&#zx ...
... 4D point atop tet atop co
... 4D oct atop tut atop toe
... 4D oxxFxoAFxxFoxFx3xofxxFoooFxxfox3xFxoFxxFAoxFxxo&#xt


... 3D p12-h4
... 3D pentagonal antidipyramid, pentagonal antitegum, pentagonal kiteohedron, dual of pap, axial bi-kis-doe, deca-truncated sissid
pabac carnit 5D partially bicontracted cellirhombated penteractitriacontiditeron ...
pabac scant 5D partially bicontracted small cellated penteractitriacontiditeron ...
pabac sirn 5D partially bicontracted small rhombated penteract ...
pabac span 5D partially bicontracted small prismated penteract ...
pabacca pin 5D partially bicontracted celliprismated penteract ...
pabaud, J59 3D parabiaugmented dodecahedron
pabauhip, J55 3D parabiaugmented hexagonal prism
pabautid, J69 3D parabiaugmented truncated dodecahedron
pabdico 4D parabidiminished icositetrachoron, hexa-augmented tesseract 1
pabdimo, dot||scad||dot 6D parabidiminished mo, dodecateron atop pseudo small cellated dodecateron atop dodecateron 1
pabdiproh 4D parabidiminished prismatorhombated hexadecachoron, tristratic tic-first central segment of proh 2.613126
pabdirico 4D parabidiminished rectified icosatetrachoron, bistratic co-first central segment of rico, axis-orthogonal partial Stott expanded rit 1.732051
pabex hax 6D partially biexpanded hemihexeract, truncated tetrahedral duoalterprism 1.658312
pabex hix (alt.: thiddipcup) 5D partially bi-expanded hexateron, thiddip cupoliprism 1.190238
pabex rat 5D partially biexpanded rectified triacontiditeron ...
pabex sart 5D partially biexpanded small rhombated triacontiditeron ...
pabex tac 5D partially biexpanded triacontaditeron ...
pabex thex 4D partially biexpanded truncated hexadecachoron, partially bicontracted prismatorhombated tesseract ...
... 3D partially bi-expanded hyperbolic order 8 triangular tiling, partially bi-contracted hyperbolic shieldotritetragonal tiling
pabexnit 5D partially biexpanded penteractitriacontiditeron ...
pabexrico 4D partially bi-expanded rico, partially bi-contracted proh
pabexrit 4D partially bi-expanded rit, partially bi-contracted tat
pabextah 4D partially bi-expanded tesseractihexadecachoron, partially bi-contracted great rhombated tesseract
pabextet 3D partially bi-expanded tetrahedron
pabextico 4D partially bi-expanded tico, partially bi-contracted gidpith
pabextot 5D partially biexpanded truncated triacontaditeron ...
pabextut 3D partially bi-expanded truncated tetrahedron
pabgyrid, J73 3D parabigyrated rhombicosidodecahedron 2.232951
pabidrid, J80 3D parabidiminished rhombicosidodecahedron 2.232951
pac gidpith 4D partially (mono-)contracted gidpith
pac girco 3D partially (mono-)contracted great rhombicuboctahedron ...
pac grit 4D partially (mono-)contracted great rhombated tesseract
pac scant 5D partially contracted small cellated penteractitriacontiditeron ...
pac span 5D partially contracted small prismated penteract ...
... 2D partially contracted hyperbolic order 3 tritetragonal tiling
... 3D partially contracted hyperbolic shieldotritetragonal tiling
... 3D partially contracted hyperbolic x4o3x3o3*b tesselation
... 3D partially contracted hyperbolic x4o3x3x3*b tesselation
pacca pin 5D partially contracted celliprismated penteract ...
paccarnit 5D partially contracted cellirhombated penteractitriacontiditeron ...
pacop 3D partially Stott contracted octagonal prism
pacprich 3D partially contracted prismatorhombated cubic honeycomb
pacprit 4D partially (mono-)contracted prit ...
pacproh 4D partially (mono-)contracted proh
pacratoh 3D partially contracted runcinated tetrahedral-octahedral honeycomb
pacrothat 2D partially contracted rhombitrihexagonal tiling
pacsid pith (alt: cuba sircobcu) 4D partially (mono-) contracted sidpith, partially expanded quawros, cubasirco bicupola
pacsirn 5D partially contracted small rhombated penteract ...
pacsrich 3D partially contracted small rhombated cubic honeycomb
pacsrit 4D partially (mono-)contracted small rhombated tesseract ...
pactat 4D partially (mono-)contracted tat
pactic 3D partially (mono-)contracted truncated cube ...
padedip 4D pentagon - decagon duoprism 1.828016
padex snic 3D partially dodeca-expanded snub cube
padiap 4D prismatic double inverted antiprism, pentagrammic double antiprismoid 0.618034
padohi 4D prismatodishecatonicosachoron 2.497212
..., padohi || rofix 5D (degenerate) padohi atop rofix ∞   i.e. flat in euclidean space
paf, K-4.22 4D pentagonal antifastegium, pentagon - pap wedge, {5} || gyro pip 1
pagydrid, J77 3D paragyrate diminished rhombicosidodecahedron 2.232951
pahtex prit 4D partially demitesseractic-expanded prit, partially demitesseractic-contracted gidpith
pahtex sidpith 4D partially demitesseractic-expanded sidpith, partially demitesseractic-contracted proh
pahtex srit 4D partially demitesseractic-expanded srit, partially demitesseractic-contracted grit
pahtex tes 4D partially demitesseractic-expanded tesseract, partially demitesseractic-contracted truncated tesseract, hexadecachorally truncated tesseract
pakid 3D pentakis dodecahedron, apiculated dodecahedron
paltite 4D prismatoaltitruncated ico tetracomb
pap 3D pentagonal antiprism, para-bidiminished icosahedron 0.951057
... 4D dodecaswirlic triacosihexacontachoron, thirtyfold dissected dodecahedral polytwister, thirtyfold dissected doter ...
papadoe, pap || doe, K-4.81 4D pentagonal-antiprism atop dodecahedron, parabidiminished segment of vertex-first hexacosachoron, pentagonal-antiprism-first cap of grand antiprism 1.618034
papaid, pap || id, K-4.142 7D pentagonal-antiprism atop icosidodecahedron 3.077684
paphacki 4D pentagon-prismatic heptacosicosachoron, great prismasaurus (also: great prismosaurus) 1
paphicki 4D pentagram-prismatic heptacosicosachoron, small prismasaurus (also: small prismosaurus) 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
paqri 4D prismatoquasirhombated icositetrachoron 1.938391
paqrich 3D prismated quasirhombated cubic honeycomb
paqrigafix (old: paquerfix) 4D prismatoquasirhombated great facetted hexacosachoron 1.878261
paqrigagishi (old: paqrahi) 4D prismatoquasirhombated great grand stellated hecatonicosachoron 1.207883
paqrigshi (old: paqraghi) 4D prismatoquasirhombated great stellated hecatonicosachoron (prismatoquasirhombated grand hecatonicosachoron) 3.199386
paqrit 4D prismatoquasirhombated tesseract 1.174172
... 3D para bi lowered truncated cube ...
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
pataht 4D prismatotruncated demitesseractic tetracomb, prismatodiprismatodisicositetrachoric tetracomb
patal 6D prismatotruncated heptapeton, runcitruncated heptapeton 2
patex cube 3D partially tetrahedrally-expanded cube, tetrahedrally truncated cube, chamfered tetrahedron, partially tri-expanded tetrahedron
patex sirco 3D partially tetrahedrally-expanded small rhombicuboctahedron, tetrahedrally lowered small rhombicuboctahedron, partially tri-expanded truncated tetrahedron ...
paticot 4D prismatotruncated icositetrachoric tetracomb, small diprismatodisicositetrachoric tetracomb
patom (old: kaprom) 6D prismatotruncated pentacontitetrapeton, runcitruncated pentacontitetrapeton, (heptacontidiprismatorhombated pentacontitetrapeton) 3.872983
pattin 5D prismatotruncated penteract, runcitruncated penteract 3.239235
pattit 5D prismatotruncated triacontiditeron, runcitruncated pentacross 2.738613
pattix 5D prismatotruncated hexateron, runcitruncated hexateron 1.848423
pautpen 4D penta-augmentated truncated pentachoron ...
paw, K-4.133, {10} || pap 4D antipentawedge, decagon - pentagonn-antiprismatic wedge, pentagonal gyrobicupolaic ring, {10} || pap, {5} || gyrated pecu 3.077684
pd{3,5,3} 3D partial diminishing (old: truncation) of hyperbolic order 3 icosahedral tesselation 0.509376 i
peat 2D hyperbolic order 4 pentagonal tiling 0.899454 i
pechon 3D hyperbolic order 5 cubic honeycomb 0.555893 i
peco 5D pentagon-cuboctahedron duoprism 1.312862
pecu, J5 3D pentagonal cupola 2.232951
pecube 5D pentagon-cube duoprism 1.213922
pecuf, K-4.154 4D pentagonal cupofastegium, decagon - pentagon-prismatic wedge, pentagonal orthobicupolaic ring, {10} || pip, {5} || pecu, 2/5-luna of stawros 5.236068
pecupe 4D pentagonal-cupola prism, pentagonal-prism atop decagonal-prism 2.288246
pedap 4D pentagonal duoantiprism ...
pedecat 2D hyperbolic order 5 decagonal tiling 0.154508 i
pedhon 3D hyperbolic order 5 dodecahedral honeycomb 0.427486 i
pedip 4D pentagon-pentagon duoprism 1.203002
pedisna 4D pental disnubbachoron, compound of 12 ex in rox army, compound of 2 kepisna 1.618034
... 3D vertex figure of pental disnubbachoron, biform twirled compound of 2 vertex-first icosahedra 0.951057
pedoe 5D pentagon-dodecahedron duoprism 1.639247
pedpedip 4D pentadiminished pentagonal duoprism 1.203002
pedpy (alt.: pet), J13 3D pentagonal dipyramid, (line-)pentagon-tegum
pegybcu, J31 3D pentagonal gyrobicupola
pegycuro, J33 3D pentagonal gyrocupolarotunda
pen, K-4.1 4D pentachoron, 4D simplex4), 5-cell, pyroter(id), tetrahedral pyramid, triangle-pyramidal pyramid, regular triangle-scalene, regular line-tettene, regular (point-)pennene, 3 tet rosette, vertex figure of hix, Gosset polytope 03, 5-2-stepprism 0.632456
penaf (old: penalpenp) 6D pentachoron antifastegium, pentachoron atop inverted pentachoral-prism, pen-first cap of jak 0.816497
penalsrip, pen || inv srip 5D (degenerate) pen atop inverted srip ∞   i.e. flat in euclidean space
penarappip 6D pen-first cap of birectified heptapeton 0.925820
penaspid 5D pentachoron atop small prismated decachoron, pen-first rotunda of scad 1
penasrip 5D pen atop srip 1.274755
penatrip 5D pentachoron atop trigonal prism, (edge,perp triangle,trip)-trigonic 1
pendip 8D pentachoron duoprism, vertex figure of icoy 0.894427
penit (old: pendpy) 5D pentachoral (line-)tegum, pentachoral dipyramid
pennatip 5D pen atop tip, pen-first cap of rin 1.414214
penp 5D pentachoron prism, vertex figure of ril 0.806226
penpasc 7D pentachoron-prismatic scalene, pentachoron-prism-pyramid pyramid, line atop fully orthogonal pentachoron prism 0.935414
penppy 6D penp pyramid, vertex-pyramid of ril 0.845154
penrap 8D (pentachoron, rectified pentachoron)-duoprism, vertex figure of tergoh 1
penrapdit 8D (pen,rap)-duotegum, tegum product of pentachoron and rectified pentachoron
pent 5D penteract, decateron, 5D measure-polytope5), geopet(id) 1.118034
pentanit 6D pent atop nit 1.228783
pentarin 6D tesseract atop rectified tesseract 1.418705
pente (old: pennit) 4D hyperbolic order 5 pentachoric tetracomb 0.393076 i
penth (alt.: stenoh) 5D penteractic pentacomb, 5D hypercubical honeycomb5), (alt.: small terated penteractic pentacomb)
penu 5D pentachoral-based ursateron ofx3xoo3ooo3ooo&#xt, pen-based ursulate 1.029086
pepat 2D hyperbolic order 5 pentagonal tiling 0.528686 i
pepip 5D pentagon duoprismatic prism 1.302772
peppia pero, K-4.139 4D pentagonal-pyramid atop pentagonal-rotunda 3.077684
peppy, 5pyr, J2 3D pentagonal pyramid 0.951057
peppyp, K-4.38 4D pentagon-pyramidal prism, J2 prism, line || pip 1.074481
pepuf, K-4.165 4D pentagonal pucofastegium, pentagon - decagon-prismatic wedge, pentagonal magnabicupolaic ring, {5} || dip, {10} || pecu, {5}-first cap of srahi 6.735034
pero, J6 3D pentagonal rotunda, half of icosidodecahedron 1.618034
perope, K-4.92 4D pentagonal-rotunda prism 1.693527
pesc (old: peppypy), K-4.86 4D pentagon scalene, pentagon-pyramidal pyramid, line atop fully orthogonal pentagon, 5 tet rosette 1.618034
pesquat 2D hyperbolic order 5 square tiling 0.747674 i
petet 5D pentagon-tetrahedron duoprism, pentagon duofastegium 1.048144
pettip 6D pentagon-pentagon-pentagon-triprism 1.473370
pex hex 4D partially (mono-)expanded hex, partially contracted quawros
pex rat 5D partially expanded rectified triacontiditeron ...
pex sart 5D partially expanded small rhombated triacontiditeron ...
pex tac 5D partially expanded triacontaditeron ...
pex thex 4D partially (mono-)expanded thex ...
... 3D partially extended hyperbolic o4o3x3o3*b tesselation
... 3D partially extended hyperbolic o4o3x3x3*b tesselation
... 3D partially expanded hyperbolic order 8 triangular tiling
pexco 3D partially (mono-)expanded cuboctahedron, 4fold elongated cuboctahedron ...
pexhax 6D partially expanded hemihexeract 1.322876
pexhin (old: tutas) 5D partially expanded hemipenteract, truncated tetrahedron altersquarism, tuta alterprism, cyclodiminished siphin 1.274755
pexhix (alt.: triddipah, tripotricudaw) 5D partially expanded hexateron, triangle-triangle duoprism atop hexagon, (trip, ortho tricu)-disphenoid 1
pexic 4D partially (mono-)expanded icositetrachoron ...
pexnit 5D partially expanded penteractitriacontiditeron ...
pexrich 3D partially expanded rectified cubic honeycomb
pexrico 4D partially (mono-)expanded rico
pexrit 4D partially (mono-)expanded rit
pextah 4D partially (mono-)expanded tesseractihexadecachoron
pextet 3D partially (edge-)expanded tetrahedron
pextich 3D partially expanded truncated cubic honeycomb
pextico 4D partially (mono-)expanded tico
pextoe 3D partially (mono-)expanded truncated octahedron ...
pextoh 3D partially expanded tetrahedral-octahedral honeycomb
pextot 5D partially expanded truncated triacontaditeron ...
pextrat 2D partially expanded triangular tiling
pextut 3D partially (edge-)expanded truncated tetrahedron
phexah 3D hyperbolic order 5 hexagonal-tiling honeycomb 0.381966 i
phexdo 3D partially hexa-expanded dodecahedron
phexid 3D partially hexa-expanded icosidodecahedron
phexik 3D partially hexa-expanded icosahedron
phiddip 4D pentagon hexagon duoprism 1.312862
phitte 4D hyperbolic order 5 hecatonicosachoric tetracomb 0.206652 i
phud 4D prismatohemidecachoron 1
pibhaki 4D pentagonal-bipyramidal heptacosiicosachoron, rectified-hexacosachoron dual, surtegmated hecatonicosachoron
pibox srico 4D partially bi-octa-expanded small rhombitetracontoctachoron
pibox tico 4D partially bi-octa-expanded truncated icositetrachoron
picnut 4D prismatocubiintercepted tesseract 0.890446
pid 5D pentagon - icosidodecahedron duoprism 1.828016
pikap (alt.: snittap) 4D pyritohedral icosahedral antiprism, snub-tetrahedral antiprism, non-uniform alternation of tope ...
pike 5D pentagon-icosahedron duoprism 1.275976
pinnip 4D prismatointercepted pentachoron, retropyroinvertirectichoron, vertex figure of han 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, copyrofacetoretropodichoron 1
... 4D piphid+10tet (?) 1
pippindip 4D prismatopentintercepted dispentachoron 1.183216
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
pirghia 5D prismatorhombated great hecatonicosachoron alterprism 4.923348
pirhatit 4D prismatorhombated demitesseractic tetracomb, great prismatodemitesseractic tetracomb, steriruncic tesseractic tetracomb
pirhin 5D prismatorhombated hemipenteract, runcicantellated demipenteract, steriruncic penteract 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
pitest 4D hyperbolic order 5 tesseractic tetracomb 0.242934 i
pithatit 4D prismatotruncated demitesseractic tetracomb, small prismatodemitesseractic tetracomb, stericantic tesseractic tetracomb
pithax 6D prismatotruncated hemihexeract, runcitruncated demihexeract, stericantic hexeract 2.958040
pithin 5D prismatotruncated hemipenteract, runcitruncated demipenteract, stericantic penteract 2.371708
pittip 4D prismatotriakispentachoron 1.612452
pobcu, J30 3D pentagonal orthobicupola
pobro, J34 3D pentagonal orthobirotunda 1.618034
poc gippic 4D partially octa-contracted great prismatotetracontoctachoron
poc prico   (alt.: phex spic) 4D partially octa-contracted prismatorhombated icositetrachoron, partially hexadeca-expanded small prismated (dis)icositetrachoron ...
poccont 4D partially octa-contracted tetracontoctachoron
pocsric   (alt.: phixic) 4D partially octa-contracted small rhombated icositetrachoron, partially hexadeca-expanded icositetrachoron, octa-augmented truncated tesseract ...
poct 5D pentagon - octahedron duoprism 1.106168
pocuro, J32 3D pentagonal orthocupolarotunda
... 4D pocuro wedge ...
podip 4D pentagon - octagon duoprism 1.559075
potag 6D prismatotruncated hexacontitetrapeton, runcitruncated hexacross 2.738613
potatit 4D prismatotruncated tesseractic tetracomb, small tomocubic-diprismatotesseractic tetracomb, runcitruncated tesseractic tetracomb
potax 6D prismatotruncated hexeract, runcitruncated hexeract 3.762560
pox prico 4D partially octa-expanded prismatorhombated icositetrachoron
pox rico 4D partially octa-expanded rectified icositetrachoron
pox snic 3D partially octa-expanded snub cube
pox srico 4D partially octa-expanded small rhombated icositetrachoron
pox tico 4D partially octa-expanded truncated icositetrachoron
poxic   (alt.: phic srico, alt.: owau sidpith) 4D partially octa-expanded icositetrachoron, partially hexadeca-contracted small rhombated icositetrachoron, octa-augmented small diprismated tesseractithexadecachoron ...
prahi 4D prismatorhombated hecatonicosachoron, runcitruncated hexacosachoron 8.278950
..., prahi || grix 5D (degenerate) prahi atop grix ∞   i.e. flat in euclidean space
prahip (old: prahipe) 5D prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism 8.294035
praht 4D prismatorhombated demitesseractic tetracomb, great tetracontaoctachoric tetracomb
prap vixhi 4D pentagonal retroprismatoverted hexacosahecatonicosachoron 1.175571
praquinoh 5D prismatorhombated quarterpenteractic pentacomb
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
pretasto 4D pentagonorhombic trisnub trisoctachoron
prich 3D prismatorhombated cubic honeycomb, runcitruncated cubic honeycomb
prico 4D prismatorhombated icositetrachoron, runcitruncated icositetrachoron 3.498949
..., prico || gyro grico 5D (degenerate) prico atop gyrated grico ∞   i.e. flat in euclidean space
pricoa (old: pricoalprico) 5D prismatorhombated-icositetrachoron alterprism, prismatorhombated-icositetrachoron atop alternate prismatorhombated-icositetrachoron 3.522336
pricope (old: pripe) 5D prismatorhombated-icositetrachoron prism, runcitruncated-icositetrachoron prism 3.534493
pricot 4D prismatorhombated icositetrachoric tetracomb, great diprismatodisicositetrachoric tetracomb
priddoh 3D hyperbolic prismatorhombated (order 4) dodecahedral honeycomb, hyperbolic prismatotruncated order 5 cubical honeycomb, hyperbolic runcitruncated order 5 cubical honeycomb 2.878623 i
prih 3D hyperbolic prismatorhombated order 3 icosahedral honeycomb, hyperbolic runcitruncated order 3 icosahedral honeycomb 2.809263 i
pril 6D prismatorhombated heptapeton, runcicantellated heptapeton 2.104417
prin 5D prismatorhombated penteract, runcicantellated penteract 3.047217
prip 4D prismatorhombated pentachoron, runcitruncated pentachoron 1.612452
pripa (old: pripalprip) 5D prip alterprism, prip atop inverted prip, medial segment of card 1.658312
pripa gippid 5D prip atop gippid, prip-first cap of pattit 2.738613
pripagrip 5D prip atop grip 1.870829
pripalgrip 5D prip atop alternate grip 1.848423
pripech 3D hyperbolic prismatorhombated order 5 cubic honeycomb, hyperbolic prismatotruncated order 4 dodecahedral honeycomb, hyperbolic runcicantellated order 5 cubic honeycomb, hyperbolic runcitruncated order 4 dodecahedral honeycomb 3.081165 i
pripped 3D hyperbolic prismatorhombated order 5 dodecahedral honeycomb, hyperbolic runcitruncated order 5 dodecahedral honeycomb 2.212971 i
prippip 5D prismatorhombated-pentachoron prism 1.688194
pripro 5D prip-first rotunda of captid 2.236068
prishi 4D prismatorhombisnub hecatonicosachoron 3.625437
prisquah 4D hyperbolic prismatorhombated square-tiling honeycomb, hyperbolic prismatotruncated order 4 octahedral honeycomb, hyperbolic runcitruncated order 4 octahedral honeycomb 2.345208 i
prissi 4D prismatorhombisnub icositetrachoron, prismato-semistruncated icositetrachoron, runcic snub icositetrachoron 2.497212
pristrah 4D hyperbolic prismatorhombisnub triangular-tiling honeycomb, hyperbolic runcisnub triangular tiling honeycomb, edge-alternated hyperbolic prismatorhombated triangular-tiling honeycomb ...
prit 4D prismatorhombated tesseract, prismatotruncated hexadecachoron, runcitruncated hexadecachoron 2.370932
..., prit || grit 5D (degenerate) prit atop grit ∞   i.e. flat in euclidean space
pritrah 3D hyperbolic prismatorhombated triangular-tiling honeycomb 1.931852 i
prittip 5D prismatorhombated-tesseract prism, prismatotruncated-hexadecachoron prism, runcitruncated-hexadecachoron prism, central segment of cappin 2.423081
prittit 4D prismatorhombated tesseractic tetracomb, rhombitesseractic-diprismatotesseractic tetracomb, runcicantellated tesseractic tetracomb
prix 4D prismatorhombated hexacosichoron, runcitruncated hecatonicosachoron 9.744610
prixip 5D prismatorhombated-hexacosachoron prism, runcitruncated-hexacosachoron prism 9.757429
prog 6D prismatorhombated hexacontitetrapeton, runcicantellated hexacross 3
proh 4D prismatorhombated hexadecachoron, prismatotruncated tesseract, runcitruncated tesseract 2.613126
..., proh || gidpith 5D (degenerate) proh atop gidpith ∞   i.e. flat in euclidean space
prohagrit 5D proh atop grit, proh-first segment of pattin 3.239235
prohax 6D prismatorhombated hemihexeract, runcicantellated demihexeract, steriruncic hexeract 2.783882
prohp 5D prismatorhombated-hexadecachoron prism, prismatotruncated-tesseract prism, runcitruncated-tesseract prism, central segment of carnit 2.660531
prom (old: kaptom) 6D prismatorhombated pentacontitetrapeton, (heptacontidiprismatotruncated pentacontitetrapeton) 4.582576
prox 6D prismatorhombated hexeract, runcicantellated hexeract 3.598576
... 4D (0,0,0,12,0)-diminished vertex-first-rotunda of ex, dodeca-diminished vertex-first rotunda of hexacosachoron 1.618034
pta cubaike 4D cube-augmented cubaike 1
ptaika cube 4D ike-augmented cubaike
puko 8D petiskewed octeract 1.732051
puph 7D petaprismated hexadecaexon 1.732051
pybiscrox 4D pyritohedral bistratic icosahedron-first cap of rectified hexacosachoron 3.077684
pysna 4D s2s3s4x, pyritosnub alterprism, edge-alternated great-rhombicuboctahedronal prism, edge-snub octahedral hosochoron ...
pysnan 5D pyritosnub penteract, edge-alternation of great cellated penteractitriacontiditeron ...
pysnet 4D s3s3s4x, pyritosnub tesseract, edge-alternated great diprismated tesseractihexadecachoron, edge-snub hexadecachoron ...
pysnic 3D pyritosnub cube, pyritohedral sirco variant, hexadiminished id 1.618034
pysnic 3D pyritosnub cube, pyritohedral sirco variant, edge-alternated girco 2.317611
pystid 3D pyritohedrally stellated icosidodecahedron


... 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 x6o, variation of hexagonal prism 1.224745
... 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 q3x3o, variation of truncated tetrahedron, triangle-snub small rhombicuboctahedron 1.398966
... 3D q3x4x, variation of girco, hull of quitco 2.564844
... 3D qo ou&#h disphenoid 1.224745
... 4D qo3oo3oo&#x, shallower variant of tetrahedral pyramid, vertex pyramid of tes 1
... 3D qo3oo&#h, taller variant of trigonal pyramid, vertex figure of tico 0.981981
... 3D qo3oo&#x, shallower variant of trigonal pyramid, vertex pyramid of cube 0.866025
... 4D qo3oq3oo&#x, shallower variant of rap, segment of tes 1
... 3D qo3oq&#x, shallower variant of trigonal antiprism, medial segment of cube 0.866025
qragishi (old: qraghi) 4D quasirhombated grand stellated hecatonicosachoron 1.662508
qrasquit 2D quasirhombated square tiling
qrico 4D quasirhombated icositetrachoron 1.082392
qrid 3D quasi rhombicosidodecahedron, great rhombicosidodecahedron (but not grid) 0.716891
qriddip 4D quasi-rhombicosidodecahedron prism 0.874032
qrigfix (old: querfix) 4D quasirhombated great faceted hexacosachoron 1.027486
qrigogishi (old: qrahi) 4D quasirhombated great grand stellated hecatonicosachoron 0.799575
qrit 4D quasirhombated tesseract 0.765367
qrothat 2D quasirhombitrihexagonal tiling
quacant 5D quasicellated penteractitriacontiditeron 1.021221
... 4D vertex figure of quasicellated penteractitriacontiditeron 1.118034
quacgarn 5D quasicelligreatorhombated penteract 2.143163
quacpot 5D quasicelliprismated triacontiditeron 1.102028
quacrant 5D quasicellirhombipenteractitriacontiditeron 1.192297
quactix 6D quasicellitruncated hexeract 1.431870
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}
quaxoke 8D quasi-exiocteracti-diacosipentacontahexazetton 1.338990
quequapech 3D quasiquasiprismated cubic honeycomb
querco 3D quasirhombicuboctahedron, great rhombicuboctahedron (but not girco) 0.736813
quercope 4D quasirhombicuboctahedron prism 0.890446
queto 8D quasitruncated octeract 0.741790
quicgrat (old: cogqrit) 5D quasicelligreat rhombated triacontiditeron, (celligreat quasirhombated triacontiditeron) 2.001839
quicpatint 5D quasicelliprismatotruncated penteractitriacontiditeron 1.949424
quidex 4D quatro-icositetradiminished hexacosachoron, tristellatododecahedral enneacontahexachoron, dual of sadi
quidpith (old: qippith) 4D quasi(dis)prismatotesseractihexadecachoron 0.890446
quidpixhi 4D quasidisprismatohexacosihecatonicosachoron 0.763932
quil 7D pentacosiheptacontihexa-pentacontihexa-exon, vertex figure of yab 0.866025
quipdohi 4D quasiprismatodishecatonicosachoron 1.328131
quiphi 4D quasiprismatohecatonicosachoron 0.726543
quiposaz 7D quasipetated hepteractihecatonicosoctaexon 1.242133
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
quipqrich 3D quasiprismated quasirhombated cubic honeycomb
quiprich 3D quasiprismatorhombated cubic honeycomb
quiprin 5D quasiprismatorhombated penteract 1.488108
quiproh 4D quasiprismatorhombated hexadecachoron 1.082392
quiptin 5D quasiprismatotruncated penteract 1.416813
quishexah 3D hyperbolic quarter order 4 hexagonal-tiling honeycomb 0.816497 i
quistet 3D quadratisnub tetratetrahedron, chiral edge faceting sidtid-0-8-12-0-b 0.866025
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
quit sissiddip 4D quasitruncated-small-stellated-dodecahedron prism, small-stellated-truncated-dodecahedron prism 0.988665
quitar (old: quahri) 3D quasitruncated rhombihedron, quasihyperhombicosicosahedron, compound of 5 quith 0.579471
quitasa 7D quasitruncated hepteract 0.712292
quitch 3D quasitruncated cubic honeycomb
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
quiten 9D quasitruncated enneract 0.770160
quith 3D quasitruncated hexahedron, stellated truncated hexahedron, stellatruncated cube 0.579471
quithip 4D quasitruncated-hexahedron prism 0.765367
quitit 4D quasitruncated tesseract 0.615370
quititip 5D quasitruncated-tesseract prism 0.792893
quitothit 2D quasitruncated trihexagonal tiling
quitoxog 6D quasiterated hexeractihexacontatetrapeton 1.137055
quitsquat 2D quasitruncated square tiling
quittin 5D quasitruncated penteract 0.649286
quoptax 6D quasiprismatotruncated hexeract 1.686163
quotacog 6D quasitericellated hexacontatetrapeton 1.121320
quothat 2D quasitruncated hexagonal tiling
quotox 6D quasitruncated hexeract 0.681517


... 3D rhombic enneacontahedron
rabird 5D retrobirhombidodecateron 1.414214
raccoth 5D retrocellitriacontadiahexadecateron 1.224745
... 4D vertex figure of retrocellitriacontadiahexadecateron 0.912871
rackix 6D retrocelliskewed hexeract 1.581139
racoh 3D hyperbolic x3o4x3o4*a tesselation, rectified cubic-octahedral honeycomb 1.045866 i
racyxh 5D rhombated cyclohexateric honeycomb, cyclorhombated hexateric honeycomb
rad (old: rhode) 3D rhombic dodecahedron, Voronoi cell of face-centered cubic (fcc) lattice, terminally chamfered cube, terminally chamfered octahedron, surtegmated cube, surtegmated octahedron
radah 5D retrodishexadecateron 0.790569
... 4D vertex figure of retrodishexadecateron 0.774597
radatathi 4D retroditetrahedronary dishecatonicosachoron 1.414214
raddirag 6D rhombidodecahedraly-diminished rectified hexacontatetrapeton 1
rade 10D rectified dekeract, rectified icosaxennon 2.121320
raded 3D rhombidodecadodecahedron 1.322876
... 3D edge faceting raded-1-10-5-5 1.322876
radeda tigid, raded || tigid 4D rhombidodecadodecahedron atop truncated great dodecahedron 2.363565
radh 3D rhombic dodecahedral honeycomb, Voronoi complex of face-centered cubic (fcc) lattice
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, lattice B6 contact polytope (span of its small roots), lattice D6 contact polytope (span of its roots) 1
ragabrag 7D rag atop brag, rag-first rotunda of barz 1.224745
ragaghi 4D rectified great grand hecatonicosachoron 1.070466
..., ragaghi || tigaghi 5D (degenerate) ragaghi atop tigaghi ∞   i.e. flat in euclidean space
ragashi 4D rectified grand stellated hecatonicosachoron 1.175571
ragashia 5D rectified grand stellated hecatonicosachoron alterprism 1.248606
raggix 4D rectified grand hexacosachoron 0.726543
raghi 4D rectified grand hecatonicosachoron 1.902113
ragip 7D rectified-hexacontitetrapeton prism 1.118034
ragishi 4D rectified great stellated hecatonicosachoron 1.175571
rah 3D rhombihexahedron, compound of 3 cube 0.866025
rahi 4D rectified hecatonicosachoron 4.534568
..., rahi || tex 5D (degenerate) rahi atop tex ∞   i.e. flat in euclidean space
rahia sidpixhi 5D (degenerate) rahi atop sidpixhi ∞   i.e. flat in euclidean space
rahipe 5D rectified-hecatonicosachoron prism 4.562051
rahrie 3D rhombihyperhombicosicosahedron, compound of 5 socco 1.398966
rake 10D rectified chilliaicositetraxennon, lattice B10 contact polytope (span of its small roots), lattice D10 contact polytope (span of its roots) 1
ram 6D rectified pentacontitetrapeton, Gosset polypeton 02,2,1, Voronoi cell of lattice E6* 1.732051
ramoh 6D rectified-pentacontitetrapetic hexacomb, Gosset hexacomb 02,2,2, Voronoi complex of lattice E6*
ranq 7D rectified hecatonicosihexapentacosiheptacontihexaexon 1.414214
rap (old: rip, alt.: tetaoct), tet || oct, K-4.5 4D rectified pentachoron, pyrorectichoron, tetrahedral cupola, vertex figure of hin, tetrahedron atop octahedron, Gosset polytope 02,1 0.774597
rapa penp 6D rap atop penp, rap-first cap of ril 0.845154
rapaco (alt.: tetoct cotric) 5D rap atop co, 0.176208-luna of rat, (tet,oct,co)-trigonic 1
rapadeca 5D rap atop deca, rap-first cap of sirhin 1.620185
rapalpenp 6D rap atop inverted penp, pen-first medial subsegment of jak 0.816497
rapalprip, rap || inv prip 5D (degenerate) rap atop inverted prip ∞   i.e. flat in euclidean space
rapalsrip 5D rap atop inverted srip, rap-first cap of spix 1.190238
rapaltip 5D (degenerate) rap atop inverted tip ∞   i.e. flat in euclidean space
rapaspid 5D rectified pentachoron atop small prismated decachoron, rap-first half of rat 1
rapasrip 5D rectified pentachoron atop small rhombated pentachoron, rap-first cap of nit 1.224745
rapatip 5D rap atop tip, rap-first cap of sarx 0.774597
rapatut (alt.: tetoct tuttric) 5D rap atop tut, (tet,oct,tut)-trigonic 1.190238
rapesc 6D rectified-pentachoric scalene, rectified-pentachoron-pyramid pyramid, line atop fully orthogonal rectified pentachoron 0.816497
rapescu 3D retrograde pentagonal cuploid, retrograde pentagonal semicupola 0.866025
rapete 7D rap tettene 0.866025
rapirx 5D retroprismatorhombated hexateron 1.914854
rappip 5D rectified-pentachoron prism, vertex figure of rojak 0.921954
rappisdi 4D retroantiprismatosnub disicositetrachoron 1
... 4D rappisdi+mesdi+288{4} (?) 1
rappy 5D rectified-pentachoric pyramid, vertex cap of hin 0.790569
rapsady 4D retroantiprismatosnub dishecatonicosachoron 1.618034
rapt 5D rectified-pentachoric (line-)tegum, rectified-pentachoric dipyramid ...
raptum 5D rap-first bistratic cap of thin, rap-based tutsatope, rap-based tutism 1.903943
rapu 5D rectified-pentachoral-based ursateron xoo3ofx3xoo3ooo&#xt, rap-based ursulate 1.258489
raquahri 3D rhombiquasihyperhombicosicosahedron, compound of 5 gocco 0.736813
rarsisresa 2D rhombiretrosnub squarirhombisquariapeirogonal tiling
rasa (old: ras) 7D rectified hepteract 1.732051
rasdi 4D retrosnub icositetrachoron, retrosnub disicositetrachoron 0.618034
rasher 3D rhombisnub hyperhombihedron, compound of 5 sroh 1.398966
rasishi 4D rectified small stellated hecatonicosachoron 2.802517
rasishia 5D rasishi alterprism 2.829949
... 5D rasishia + 2x 2rasishi (?) 2.829949
rasisquat 2D retrosnub square tiling
rasquacu 3D retrograde square cupola, crossed square cupola, 4/3-cupola 0.736813
rasquahr 3D rhombisnub quasihyperrhombihedron, compound of 5 groh 0.736813
rasseri 3D rhombisnub rhombicosicoahedron, compound of 5 sirco 1.398966
rassersa 2D rhombisnub squarirhombisquariapeirogonal tiling
rassid 3D rhombisnub dodecahedron, compound of 6 dip 1.693527
rastacu 3D retrograde pentagrammic cupola, 5/3-cupola 0.716891
rat 5D rectified triacontiditeron, rectified pentacross, vertex figure of hinoh, lattice B5 contact polytope (span of its small roots), lattice D5 contact polytope (span of its roots) 1
ratanit 6D rectified triacontaditeron atop penteractitriacontiditeron, rat-first rotunda of brag 1.224745
ratasiphin 6D rat atop siphin, rat-first cap of rojak 1.290994
ratchet 5D retrotriacontidicellihemitriacontaditeron 1
... 4D vertex figure of retrotriacontidicellihemitriacontaditeron 0.866025
rath 3D hyperbolic rectified (order 6) tetrahedral honeycomb 1 i
ratho 4D rectified tesseractihemioctachoron 1
rathotathibit 4D rhombitrihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb
ratip 6D rectified-triacontiditeron prism 1.118034
ratkus 7D retroteriskewed hepteract 1.658312
ratricu 3D retrograde trigonal cupola, 3/2-cupola 0.707107
rawcax (old: rawvdipdopdix) 5D retrosphenary cellihexateron, (retrosphenoverted disprismatoduoprismatodiakishexateron) 1.290994
... 4D vertex figure of retrosphenary cellihexateron 0.921954
rawcbinant (old: recarnit) 5D retrosphenary cellibiprismatopenteractipenteractitriacontaditeron, retrocellirhombated penteractitriacontaditeron 2.660531
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
rawx 5D retrosphenary hexateron 1.290994
rax 6D rectified hexeract, rectified dodecapeton 1.581139
raxh 6D rectified hexeractic pentacomb
rebatch 3D rectified bitruncated cubic honeycomb
rebtatoh 3D rectified bitruncated tetrahedral-octahedral honeycomb
recaptid 5D retrocelliprismatotruncated dodecateron 2.236068
recont 4D rectified tetracontoctachoron 6.754807
recta 3D rectangular alterprism, rectangular trapezoprism sqrt[c2+(a+b)2/2]/2
recto 8D rectified octeract, rectified hexadecazetton 1.870829
reday 9D rectified decayotton, vertex figure of hede, Gosset polytope 07,1 0.894427
redeca 4D rectified decachoron 2.828427
redscox (alt.: trisoo) 6D hecatonenenecontadia-diminished small cellihexeract, partially triexpanded xedrag, tri - (4,8,8)-trioprism 1.978437
... 4D reduced( ofx3/2oxx3ooo&xt by 2tet ) 0.874032
... 4D cuboctahedral retro-cuploid 1
rek 8D rectified diacosipentacontahexazetton, lattice B8 contact polytope (span of its small roots), lattice D8 contact polytope (span of its roots) 1
ren 9D rectified enneract, rectified octadecayotton 2
rene 8D rectified enneazetton, vertex figure of henne, Gosset polytope 06,1 0.881917
repirt 5D retroprismatorhombated triacontiditeron 3
repuko 8D retropetiskewed octeract 1.732051
respic 4D rectified small prismated tetracontoctachoron 3.557647
respid 4D rectified small prismated decachoron 1.732051
retdip (old: retriddip) 4D rectified triddip 1.290994
retic (alt.: amtic) 3D rectified/ambiated truncated cube 3.414214
retoe (alt.: amtoe) 3D rectified/ambiated truncated octahedron 2.121320
retrat 2D retroelongated trangular tiling
retrip (alt.: amtrip) 3D rectified/ambiated trip, kernel of trip and m m3o, o2o3o symmetric co relative 0.816497
retut (alt.: amtut) 3D rectified/ambiated truncated tetrahedron 2.661453
rez (old: rhio) 7D rectified hecatonicosoctaexon, lattice B7 contact polytope (span of its small roots), lattice D7 contact polytope (span of its roots) 1
rhohid 5D rectified hexadecahemidecateron 1
rhom 3D rhombihedron, compound of 5 cube 0.866025
... 2D partially contracted hexagonal tiling, rhombic uBxx3uxBx3xooA3*a&#zx
... 2D partially expanded tri-hexagonal rhombic tiling, rhombic uBxx3xoAo3xooA3*a&#zx
... 2D tri-hexagonal rhombic tiling
rhote (old: rattic) 3D rhombic triacontahedron, terminally chamfered dodecahedron, terminally chamfered icosahedron, surtegmated dodecahedron, surtegmated icosahedron
ri 5D rhombicosahedron 1.322876
... 3D ri+12{10/2} (?) 1.322876
... 3D ri+12{10/4} (?) 1.322876
ribfoh 8D rectified diacositetracont-dischiliahectohexaconta-zettic octacomb, Gosset heptacomb 05,2,1
ricasrit, rico || srit 5D rectified-icositetrachoron atop small-rhombated-tesseract 1.847759
ricatah 5D rico atop tah, rico-first cap of sibrant 2.236068
rich 3D rectified cubic honeycomb
rico 4D rectified icosatetrachoron, cantellated hexadecachoron, hexadecachoron-derived Gévay polychoron 1.732051
... 4D rico-cap augmented thex-rotunda ...
..., rico || gyro srico 5D (degenerate) rico atop gyrated srico ∞   i.e. flat in euclidean space
..., rico || proh 5D (degenerate) rico atop proh ∞   i.e. flat in euclidean space
..., rico || sadi 5D rico atop sadi 1.738546
ricoa (old: ricoalrico), rico || gyro rico 5D rectified icositetrachoron alterprism, rectified icositetrachoron atop gyrated rectified icositetrachoron 1.778824
ricoa ticotum 5D rico-based tutsatope, rico-based tutism, rico-first bistratic cap of pattit 2.738613
ricoaspic 5D rectified icositetrachoron atop small prismated icositetrachoron 1.847759
ricoatico 5D (degenerate) rico atop tico ∞   i.e. flat in euclidean space
ricope 5D rectified-icositetrachoron prism 1.802776
ricot 4D rectified icositetrachoric tetracomb
ridatathi 4D retroinverted ditetrahedral triakishecatonicosachoron 1.414214
ridatha 3D rectified ditetratihemiapeiratic honeycomb
ridditdy 4D retroditrigonary dishecatonicosachoron 1.732051
riddoh 3D hyperbolic rectified order 4 dodecahedral honeycomb 1.272020 i
ridimex (alt.: idimrox) 4D rectified icosidiminished hexacosachoron, icosidiminished rectified hexacosachoron 3.077684
ridtidohi 4D rectified ditrigonary dishecatonicosachoron 1.732051
riffy 8D rectified dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton, t1(41,2) 1.732051
rigfix 4D rectified great faceted hexacosichoron 0.726543
..., rigfix || quipdohi 5D (degenerate) rigfix atop quipdohi ∞   i.e. flat in euclidean space
..., rigfix || sirgaghi 5D (degenerate) rigfix atop sirgaghi ∞   i.e. flat in euclidean space
riggidtixhi 4D rectified great ditrigonary hexacosihecatonicosachoron 1.732051
righi 4D rectified great hecatonicosachoron 1.902113
righia 5D rectified great hecatonicosachoron alterprism 1.917564
rigogishi 4D rectified great grand stellated hecatonicosachoron 0.661585
rih 3D hyperbolic rectified order 3 icosahedral honeycomb 1.427535 i
rihach 3D hyperbolic rectified order 6 cubic honeycomb 0.707107 i
rihexah 3D hyperbolic rectified (order 3) hexagonal-tiling honeycomb 1.732051 i
rihihexah 3D hyperbolic rectified order 6 hexagonal-tiling honeycomb 0.577350 i
ril (old: riss) 6D rectified heptapeton, vertex figure of hesa, Gosset polytope 04,1 0.845154
rila (old: rilalril) 7D rectified heptapeton alterprism, rectified heptapeton atop inverted rectified heptapeton, hop-first medial segment of naq 0.866025
rilalbril 7D rectified heptapeton atop inverted birectified heptapeton, equatorial monostratic segment of demihepteract 0.935414
rilastaf 7D ril atop staf, ril-first rotunda of rez 1
rillip 7D rectified-heptapeton prism, vertex figure of robay 0.981981
rilpy 7D rectified-heptapetonal pyramid, vertex pyramid of demihepteract 0.935414
rin 5D rectified penteract 1.414214
rinah 5D retropenteractihexadecateron 0.790569
... 4D vertex figure of retropenteractihexadecateron 0.774597
rinathin 6D rectified penteract atop truncated demipenteract, rectified demipenteract-first cap of demirectified icosiheptaheptacontidipeton 2.160247
rinnip 6D rectified-penteract prism 1.5
rinoh 5D rectified penteractic pentacomb
rinquoh 7D rectified hecatonicosihexapentacosiheptacontihexaexic honeycomb
ripahi 4D retroinverted prismatohecatonicosachoron 4.534568
... 4D ripahi+600 2thah (?) 4.534568
ripdip 4D rhombiprismato dispentachoron 1.612452
ripech 3D hyperbolic rectified order 5 cubic honeycomb 1.057371 i
ripped 3D hyperbolic rectified order 5 dodecahedral honeycomb 0.813126 i
rippix 5D retroprismated hexateron 1.190238
risadi (alt.: idrox) 4D rectified snub icositetrachoron, icositetradiminished rectified hexacosachoron 3.077684
risdoh 3D rhombisnub dishexahedron, compound of 6 cube, Skilling's compound 0.866025
rishexah 3D hyperbolic rectified order 4 hexagonal-tiling honeycomb 1 i
risquah 3D hyperbolic rectified square-tiling honeycomb 1.224745 i
rissidtixhi 4D rectified small ditrigonary hexacosihecatonicosachoron 1.732051
rit 4D rectified tesseract, rectified octachoron, birectified hexadecachoron, runcic tesseract 1.224745
..., rit || tat 5D (degenerate) rit atop tat ∞   i.e. flat in euclidean space
rita (old: ritag rit) 5D rit atop gyro rit, medial segment of hex-first siphin 1.274755
rita sidpith, rit || sidpith 5D rectified-tesseract atop small-disprismated-tesseractihexadecachoron 1.502958
ritag thex 5D rit atop gyrated thex, rit-first cap of sirhin 1.620185
ritarico 5D rectified-tesseract atop rectified-icositetrachoron, rectified-tesseract-first segment of small-prismated-triacontiditeron 1.870829
ritas 6D rit altersquarism, cyclotetra-diminished sochax, medial segment of siphina, partial Stott expansion of hax 1.322876
ritasrit, rit || srit 5D rectified-tesseract atop small-rhombated-tesseract 2.632865
ritatah, rit || tah 5D (degenerate) rit atop tah ∞   i.e. flat in euclidean space
ritathex 5D (degenerate) rit atop thex ∞   i.e. flat in euclidean space
ritch 3D hyperbolic x3o3x3o4*a tesselation, rectified tetrahedral-cubic honeycomb 1.429970 i
ritgyt 6D rectified-tesseractic gyrotrigonism 1.290994
rithsithbit 4D rhombitrihexagonal-simotrihexagonal duoprismatic tetracomb
ritrah 3D hyperbolic rectified triangular-tiling honeycomb 1 i
rittip 5D rectified-tesseract prism 1.322876
rittit 4D rectified tesseractic tetracomb, quartertesseractic tetracomb
riv 9D rectified pentacosidodecayotton, lattice B9 contact polytope (span of its small roots), lattice D9 contact polytope (span of its roots) 1
rix 5D rectified hexateron, vertex figure of hax, Gosset polytope 03,1 0.816497
rixa (alt.: pabdihax, old: rixalrix) 6D rectified hexateron alterprism, parabidiminished demihexeract, rectified hexateron atop inverted rectified hexateron 0.866025
rixalspix 6D rectified hexateron atop small prismated hexateron, rix-first cap of scal 1.195229
rixasarx 6D rectified hexateron atop small rhombated hexateron, rix-first cap of brox 1.414214
rixasc 7D rectified-hexateronal scalene, rectified-hexateronal-pyramid pyramid, line atop fully orthogonal rectified-hexateron 1
rixascad 6D rectified hexateron atop small cellated dodecateron, half of rectified hexacontitetrapeton (its rix-first rotunda) 1
rixaspix 6D rectified hexateron atop small prismated hexateron, rix-first cap of rojak 1.290994
rixhi 4D retroinverted hexacosahecatonicosachoron 3.077684
rixip 6D rectified-hexateron prism, vertex figure of rolaq 0.957427
rixpy 6D rectified-hexateronal pyramid, vertex pyramid of demihexeract 0.866025
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, vertex figure of hocto, Gosset polytope 05,1 0.866025
rocalbroc 8D roc atop inverted broc, oca-first subsegment of fy 1
rocgrax 5D retrocelligreat rhombated hexateron 2.327373
rocip 8D rectified-octaexon prism, vertex figure of robyah 1
rocpy 8D rectified-octaexonal pyramid, vertex pyramid of demiocteract 1
rocrax (old: sircrax) 5D (small) retrocellirhombated hexateron 1.658312
rofix 4D rectified faceted hexacosichoron 3.077684
..., rofix || sirsashi 5D (degenerate) rofix atop sirsashi ∞   i.e. flat in euclidean space
rojak 6D rectified icosiheptaheptacontidipeton 1.290994
rojaka (alt.: pabdilin, old: rojakalrojak) 7D rojak alterprism, parabidiminished lin, rojak atop alternate rojak 1.322876
rojaka hejak 7D rojak atop hejak, rojak-first cap of rolaq 1.732051
rojkoh 6D rectified icosiheptaheptacontidipetic hexacomb
rolaq 7D rectified pentacontihexapentacosiheptacontihexaexon 1.732051
rolin (old: lanq) 7D rectified pentacontihexahecatonicosihexaexon, pentacontihexahecatonicosihexapentacosiheptacontihexaexon, Gosset polytope 03,2,1 2.449490
rolinoh 7D rectified pentacontihexahecatonicosihexaexic heptacomb, Gosset heptacomb 03,3,1
rorisassa 2D rhombiretrosnub squarisquariapeirogonal tiling
rosaqri (old: rasquahpri) 3D rhombisnub quasirhombicosicosahedron, rhombisnub quasihyperpseudorhombicosicosahedron, compound of 5 querco 0.736813
rosassa 2D rhombisnub squarisquariapeirogonal tiling
rosi 3D rhombisnub icosahedron, compound of 10 hip 1.118034
... 4D vertex-first rotunda of hexacosachoron 1.618034
rox 4D rectified hexacosachoron 3.077684
... 4D rox+720pip (?) 3.077684
roxahi, rox || hi 5D (degenerate) rox atop hi ∞   i.e. flat in euclidean space
roxip 5D rectified-hexacosachoron prism 3.118034
ru 10D rectified hendecaxennon, rectified undecaxennon, Gosset polytope 08,1 0.904534
rusch 3D runcicantic snub cubic honeycomb


... 5D tetrahedral - n-prismantiprismoid ...
... 5D tetrahedral - 2n-prismantiprismoid ...
... 3D β3/2o3β (?) ...
... 3D β3/2β3x3*a (?) ...
... 4D β3o3o4β (?) ...
... 4D β3o3o5β (?) ...
... 4D β3o3β3o (?) ...
... 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 β3β3β3x (?) ...
... 4D β3β3β5o (?) ...
... 4D β3β3β5x (?) ...
... 2D hyperbolic snub tiling of family o3o3o∞*a
... 4D β3β3x3β (?) ...
... 4D β3β3x4β (?) ...
... 4D β3β3x5β (?) ...
... 4D β3β3x *b3o (?) ...
... 4D alternated truncated hyperbolic order 4 icositetrachoral tetracomb
... 4D β3β4o3β (?) ...
... 3D hyperbolic s3s4o4o tesselation ... i
... 3D hyperbolic s3s4o4x tesselation ... i
... 4D β3β4β3o (?) ...
... 4D β3β4β3x (?) ...
... 2D hyperbolic snub tiling of family o3o4o5*a
... 4D β3β4x3β (?) ...
... 4D shi+120x 2sissid(?) ...
... 4D prishi+120x 2did (?) ...
... 2D hyperbolic snub tritritetragonal tiling, hyperbolic snub tiling of family o3o3o4*a
... 2D hyperbolic snub trigonal-horocyclic tiling, hyperbolic snub triapeirogonal 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 (?) ...
... 4D octahedra-alternated faceting of scartit
... 3D hyperbolic alternated small prismated order-4 square tiling honeycomb
... 3D hyperbolic o3o4s4o tesselation
... 3D family of (generally hyperbolic) s4oPo4s tesselation
... 2D hyperbolic snub tetrapentagonal tiling
... 5D tetrahedral - square-prismantiprismoid ...
... 4D s4x2s4x (?) ...
... 3D β5/2o5β (?) ...
... 3D β5/2x5β (?) ...
... 2D hyperbolic snub pentapentagonal tiling
... 3D s60-r60-p12-h30
... 5D triangular,tetrahedral duoantiprism ...
... 5D tetrahedral - hexagon-prismantiprismoid ...
sabach 7D small bicellated hexadecaexon, bistericated octaexon 1.414214
sabbadipady 4D small blendic disprismatodishecatonicosachoron 2
sabbathi 4D small blendic trishecatonicosachoron 2
saberjakh 6D small birhombated icosiheptaheptacontidipetic hexacomb
sabippady (old: sabbippady) 4D small blendic prismatodishecatonicosachoron 2
sabirch 3D small birhombatocubic honeycomb
saborx 6D small birhombated hexeract, bicantellated hexeract 2.645751
sabred 4D small birhombatodecachoron sqrt[(2a2+2ab+3b2)/5]
sabric 4D small birhombatotetracontoctachoron sqrt[a2 + 2 sqrt(2) ab + 3b2]
sabril 6D small birhombated heptapeton, bicantellated heptapeton 1.558387
sabrim (old: pirm, sirmak, skorm) 6D small birhombated pentacontitetrapeton, (prismatorectified pentacontitetrapeton, small rhombated pentacontitetraheptacontidipeton, small heptacontidirhombated pentacontitetrapeton) 3
sabro 7D small birhombated octaexon, bicantellated octaexon 1.658312
sad phiddix 4D small dipentary hecatonicosadishexacosachoron 2.497212
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, snub rhombatohexadecachoron 1.618034
sadinnert 5D small dispenteractirhombated triacontaditeron 2.010695
sadip 5D snub-icositetrachoron prism, snub-disicositetrachoron prism, semistruncated-icositetrachoron prism 1.693527
sadit 4D snub icositetrachoric tetracomb, Gosset's non-Wythoffian 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 dedip 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
sarxasibrid 6D small rhombated hexateron atop small birhombated dodecateron, rix-first subsegment of brox 1.414214
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
satpeb 8D small triprismated bi-enneazetton, triruncinated enneazetton 1.732051
satsa 2D squariapeirotruncated squariapeirogonal tiling
saxoke 8D small exiocteracti-diacosipentacontahexazetton, heptellated octeract 1.790840
sazdideta 4D square antitrapezary disicositetratidistesseratiapeiratic tetracomb
scad (old: shad) 5D small cellated dodecateron, small hedrated dodecateron, stericated hexateron, expanded hexateron, vertex figure of cyxh, lattice A5 contact polytope (span of its roots) 1
scadaspix 6D small cellated dodecateron atop small prismated hexateron, scad-first cap of scal 1.195229
scadip 6D small-cellated-dodecateric prism 1.118034
scadupthix 4D small capped dipentary tetrishecatonicosahexacosichoron 2.497212
scag 6D small cellihexacontitetrapeton, stericated hexacross 2
scajakh 6D small celliicosiheptaheptacontidipetic hexacomb
scal 6D small cellated heptapeton, stericated heptapeton 1.195229
scala (old: scalal scal) 7D small cellated heptapeton alterprism, small cellated heptapeton atop inverted small cellated heptapeton, medial segment of barz 1.224745
scala spil 7D scal atop spil 1.322876
scant 5D small cellated penteractitriacontiditeron, stericated penteract, stericated pentacross 1.567516
scicot 4D small cellated icositetrachoric tetracomb, small cellated demitesseractic tetracomb, stericated icositetrachoric tetracomb
sco 7D small cellated octaexon, stericated octaexon 1.322876
scox 6D small cellihexeract, stericated hexeract 1.978437
scuffi, ike-7-3 3D semicupolaically faceted icosahedron 0.951057
scufgi, sissid-3-7 3D semicupolaically faceted great icosahedron 0.587785
scyropot 4D small cyclorhombated pentachoric tetrachomb, small prismatodispentachoric tetracomb, cantellated pentachoric tetrachomb
se 3D small icosiicosahedron, compound of 5 oct 0.707107
sedit pathi 4D small exoditetrahedronary prismatotriakishecatonicosachoron 2.288246
... 4D hyperbolic honeycomb with seed point at edge of right-angled octahedron domain
... 3D hyperbolic honeycomb with seed point at face of right-angled octahedron domain
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
serch 3D snub rectified cubic honeycomb
sersa 7D small rhombated hepteract, cantellated hepteract 2.790257
seside 3D small snub icosicosidodecahedron, snub disicosidodecahedron, holosnub icosahedron, hastur 1.458190
sesidip 4D small-snub-icosicosidodecahedron prism 1.541531
sethalq 7D small terademified pentacontihexapentacosiheptacontihexaexon 2.828427
setitdin 5D small tesseractitriacontidiadispenteract 2.423081
seto 7D small terated octaexon, pentellated octaexon 1.198958
setut 4D small tristetracosioctacontachoron 1
... 3D vertex figure of setut 0.866025
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, alternate square tiling
shadow 5D small heptagrammic disphenoid, small heptagramm atop fully orthogonal small heptagramm 0.674163
shafipto 4D small hexadecafaceted prismatotesseractioctachoron 1.485633
... 4D shafipto+32tet (?) 1.485633
shaha 2D small hexahexaapeirogonal tiling
shahoh 4D small hexadecahemihexadecachoron 1
shanq 7D small demified hecatonicosihexapentacosiheptacontihexaexon 2
shappy, 7/2-pyr 3D small heptagrammic pyramid 0.650389
shasc 4D small heptagrammic scalene, small-heptagrammic-pyramidal pyramid, line atop fully orthogonal small heptagramm 0.658240
sheat 2D stellated heptagonal tiling, hyperbolic order 7 heptagram tiling 0.484510 i
shexah 3D hyperbolic order 4 hexagonal-tiling honeycomb 0.707107 i
shexat 2D hyperbolic order 4 hexagonal tiling 0.707107 i
shi 4D snub hecatonicosachoron (but not snahi) 2.739576
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
ship 3D bistrophic heptagrammic prism, heptagrammic prism of winding number 2, small heptagrammic prism, small stellated heptagonal prism 0.811783
shipady 4D small hecatonicosiprismatodishecatonicosachoron 1.814331
shitte 4D hyperbolic order 4 hecatonicosachoric tetracomb 0.899454 i
shopjak 6D small demiprismated icosiheptaheptacontidipeton 1.914854
shorjak 6D small demirhombated icosiheptaheptacontidipeton 3.265986
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 hexacontitetrapeton, bicantellated hexacross 2.236068
sibpo 7D small biprismated octaexon, biruncinated octaexon 1.561250
sibpof 6D small biprismated tetradecapeton, biruncinated heptapeton 1.414214
sibrant 5D small birhombated penteractitriacontiditeron, bicantellated penteract, bicantellated pentacross 2.236068
sibricot 4D small birhombated icositetrachoric tetracomb, grand prismatodisicositetrachoric tetracomb
sibrid (old: sadrid) 5D small birhombated dodecateron, bicantellated hexateron 1.414214
sibridacard 6D sibrid atop card, first subsegment of dot-first ram 1.732051
sibtadin 5D small biprismatotriacontadiadispenteract 3.047217
sicdatrid 3D small complex (ditrigonary) rhombicosidodecahedron 0.866025
sichado 4D small cubihexadecadisoctachoron 2.370932
sid pippadia 5D sid pippady alterprism 2.527959
sid pippady 4D small dipentary prismatodishecatonicosachoron 2.497212
sid thipady 4D small ditrigonary hecatonicosiprismatodishecatonicosachoron 1.814331
sid tipathi 4D small ditrigonary 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 ditrigonary dodekicosidodecahedron, small dodekified icosidodecahedron 1.721489
sidditdiddip 4D small-ditrigonary-dodekicosidodecahedron prism 1.792631
sidditdy 4D small ditrigonary dishecatonicosachoron 1.732051
sidditpix 4D small ditrigonary prismatohexacosichoron 1.732051
siddo 3D snub disoctahedron, octahedral compound of 2 ike, vertex figure of sody 0.951057
siddy 5D small dodekicosahedron 1.721489
... 3D siddy+12{10/4} (?) 1.721489
... 3D siddy+20{6/2} (?) 1.721489
siddykid 3D small didyakis dodecahedron
sided 3D snub icosidodecadodecahedron, dagon 1.126898
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
sidpicdoh 3D hyperbolic small disprismated cubical-dodecahedral honeycomb, hyperbolic prismated order 5 cubic honeycomb, hyperbolic runcinated order 5 cubic honeycomb, hyperbolic prismated order 4 dodecahedral honeycomb, hyperbolic runcinated order 4 dodecahedral honeycomb 1.723155 i
sidpichexah 3D hyperbolic small disprismated cubic-hexagonal-tiling honeycomb, hyperbolic prismated order 6 cubical honeycomb, hyperbolic runcinated order 6 cubical honeycomb 1.313295 i
... 5D sid pippadia + 240x 2sissid 2.527959
... 4D sidpippady+120 2sissid (?) 2.497212
sidpith 4D small disprismatotesseractihexadecachoron, runcinated tesseract, small prismated tesseract 1.485633
..., sidpith || prit 5D (degenerate) sidpith atop prit ∞   i.e. flat in euclidean space
..., sidpith || tat 5D (degenerate) sidpith atop tat ∞   i.e. flat in euclidean space
sidpithip 5D small-disprismatotesseractihexadecachoron prism, runcinated-tesseract prism, small-prismated-tesseract prism, central segment of scant 1.567516
sidpixathi 4D small dipentagonal hexacositrihecatonicosachoron 2.497212
sidpixhi 4D small disprismatohexacosihecatonicosachoron, runcinated hecatonicosachoron, runcinated hexacosachoron 5.236068
..., sidpixhi || srix 5D (degenerate) sidpixhi atop srix ∞   i.e. flat in euclidean space
sidpixhip 5D small-disprismatohexacosihecatonicosachoron prism, runcinated-hecatonicosachoron prism, runcinated-hexacosachoron prism 5.259887
sidrebcu 4D stellidodecahedral rectibicupola, orbiform bistratc stack of small stellated dodecahedron atop pseudo dodecadodecahedron atop great dodecahedron 1.064815
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
sidtaxhiap 5D small ditetrahedrary hexacontahecatonicosachoron antiprism 2.321762
sidthidy hi 4D small ditrigonal hecatonicosadishecatonicosihecatonicosachoron 1.732051
sidthixhi 4D small ditrigonary hecatonicosihexacosihecatonicosachoron 1.773668
sidtid 3D small ditrigonary icosidodecahedron, holosnub dodecahedron, vertex figure of sidtixhi 0.866025
... 3D sidtid+ditdid (?) 0.866025
... 3D sidtid+ditdid+gidtid (?) 0.866025
... 3D sidtid+gidtid (?) 0.866025
... 3D edge faceting sidtid-0-3-3-3 0.866025
sidtidap 4D small-ditrigonary-icosidodecahedron antiprism 0.951057
sidtiddip 4D small-ditrigonary-icosidodecahedron prism 1
sidtixhi 4D small ditrigonary hexacosihecatonicosachoron 1
... 4D sidtixhi+dox (?) 1
sidtixhipy, pt || sidtixhi 5D (degenerate) sidtixhi pyramid ∞   i.e. flat in euclidean space
sifdahihox 4D small fissary dodecahedronary hecatonicosihemihexacosachoron 1
sifodib 3D sidtid faceting sidtid-0-10-20-2 (i.e. with 10(=d) {3}, 20(=i) {4}, and 2(=b) {5}) 0.866025
siid 3D small icosicosidodecahedron 1.721489
siida (alt.: siidcup) 4D small icosicosidodecahedral alterprism, small icosicosidodecahedral cupoliprism, closer siid atop siid 1.765796
siidip 4D small-icosicosidodecahedron prism 1.792631
sik vadixady 4D small skewverted dishexacosidishecatonicosachoron 4.684471
sik vipathi 4D small skewverted prismatotriakishecatonicosachoron 2.828427
sik vixathi 4D small skewverted hexacositriakishecatonicosachoro 4.684471
... 2D hyperbolic snub di-horocyclic tiling
..., s∞o2o3x6s 3D ...
..., s∞o2s3s6s 3D full snub triangular prismatic honeycomb
..., s∞o2s3s6x 3D edge-snub triangular prismatic honeycomb
..., s∞o2s4s4s 3D full snub square prismatic honeycomb
..., s∞o2s4s4x 3D edge-snub square prismatic honeycomb
..., s∞o2s4x4s 3D edge-snub square prismatic honeycomb
..., s∞o2s4x4x 3D alternating bistratic tosquat honeycomb
..., s∞o2x3x6s 3D alternating bistratic hexat honeycomb
..., s∞o2x4s4x 3D square-snub square prismatic honeycomb
..., s∞x2o3x6s 3D ...
..., s∞x2s3s6s 3D axial edge-snub triangular prismatic honeycomb
sinnont 5D small penteractipenteractitriacontiditeron 1.567516
sinnontip 6D sinnont prism 1.645329
siphado 4D small prismatohexadecadisoctachoron 2.613126
siphatit 4D small diprismatodemitesseractic tetracomb, steric tesseractic tetracomb
siphidy 4D small prismated hecatonicosadishecatonicosachoron 4.917351
siphin 5D small prismated hemipenteract, runcinated demipenteract, steric penteract 1.274755
siphina 6D siphin alterprism, medial segment of sochax 1.322876
siphinnip 6D small-prismated-hemipenteractic prism 1.369306
sipthi 4D small prismatotriakishecatonicosachoron 1.878261
sipti 4D small prismatotriakisicositetrachoron 3.498949
sirc 4D small retrotetracontoctachoron 1.847759
sircaptint (old: srecaptint) 5D small retrocelliprismatotruncated penteractitriacontaditeron 3.701317
sirco (alt.: esquobcu) 3D small rhombicuboctahedron, expanded octahedron, expanded cube, elongated square-orthobicupola 1.398966
sirco aticu 4D expanded axially-octahedral ursachoron, (sirco,tic)-based ursulate 1.806144
sircoa gircotum 4D bistratic cap of prismatorhombated tesseract, rhombicuboctahedral rotunda, (sirco,girco)-based tutschoron, (sirco,girco)-based tutism 2.370932
sircoagirco, sirco || girco 4D (degenerate) small rhombicuboctahedron atop great rhombicuboctahedron ∞   i.e. flat in euclidean space
sircoatic, sirco || tic, K-4.100 4D small rhombicuboctahedron atop truncated cube, small-rhombicuboctahedral cap of small rhombated tesseract 1.847759
sircoatoe, sirco || toe, K-4.75 4D small rhombicuboctahedron atop truncated octahedron 1.582890
sircope, K-4.66 4D small-rhombicuboctahedron prism, medial (cube-first) subsegment of sidpith 1.485633
sird 5D 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
sirdop 4D small rhombidispentachoron 1.183216
sirdtapady 4D small retroditetrahedronary prismatodishecatonicosachoron 2.288246
... 4D sirdtapady+600 2tet (?) 2.288246
sirdtaxadiap 5D small retroditetrahedronary hexacosidishecatonicosachoron atop alternate small retroditetrahedronary hexacosidishecatonicosachoron, small retroditetrahedronary hexacosidishecatonicosachoron alterprism 2.321762
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
sirgashia 5D small rhombated grand stellated hecatonicosachoron alterprism 1.618034
sirgaship 5D small-rhombated-grand-stellated-hecatonicosachoron prism 1.666693
sirgax 4D small rhombated grand hexacosachoron 1.054256
sirghi 4D small rhombated great hecatonicosachoron 3.387054
sirghia 5D small rhombated great hecatonicosachoron alterprism 3.404434
sirghipe 5D small-rhombated-great-hecatonicosachoron prism 3.423760
sirhax 6D small rhombated hemihexeract, cantellated demihexeract, runcic hexeract 1.936492
sirhesa 7D small rhombated hemihepteract, cantellated demihepteract 2.207940
sirhin 5D small rhombihemipenteract, cantellated demipenteract, runcic penteract 1.620185
sirhina 6D sirhin alterprism, medial segment of sophax 1.658312
sirhinasart 6D sirhin atop sart, nit-first subsegment of ram 1.732051
sirjak 6D small rhombated icosiheptaheptacontidipeton 2.380476
sirn 5D small rhombated penteract, cantellated penteract 2.207107
sirnoh 5D small rhombated penteractic honeycomb
sirpaxhi 4D small rhombiprismic hexacosahecatonicosachoron 9.744610
sirpdi 4D small rhombiprismic disicosatetrachoron 3.498949
sirpdo 4D small rhombiprismatodisoctachoron 2.370932
sirphinady 4D small inverted retropental hecatonicosaintercepted dishecatonicosachoron 3.077684
sirpin 5D small retroprismated penteract 1.914214
sirpith 4D small rhombiprismated tesseractihexadecachoron 2.613126
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
... 4D sishi+gaghi+120did (?) 1
... 4D sishi+gaghi+idhi (?) 1
... 4D sishi+gridixhi (?) 1
... 4D sishi+idhi (?) 1
... 4D sishi+ofiddady (?) 1
... 4D sishi+paphicki+gridaphi (?) 1
sishi, spD 4D small stellated hecatonicosachoron, stellated polydodecahedron 1
..., sishi || fix 5D (degenerate) sishi atop fix, (degenerate) sishi antiprism, (degenerate) fix antiprism ∞   i.e. flat in euclidean space
sishia 5D small stellated hecatonicosachoron alterprism, narrower sishi atop sishi 1.074481
... 5D sishia + 2x 2sishi (?) 1.074481
sishipy, pt || sishi 5D (degenerate) sishi pyramid ∞   i.e. flat in euclidean space
sisp 4D small swirlprism 1.618034
sisquah 3D hyperbolic order 4 square-tiling honeycomb, hyperbolic honeycomb with seed point at vertex of right-angled octahedron domain 0 i
sissid 3D small stellated dodecahedron, penta-stellahedron, vertex figure of gofix 0.587785
sissid || 3doe 4D (degenerate) sissid atop 3doe ∞   i.e. flat in euclidean space
... 3D sissid+3gike (?) 0.587785
sissidadid, sissid || did 4D small stellated dodecahedron atop dodecadodecahedron, small-stellated-dodecahedral cupola 1.064815
sissidadoe 4D (degenerate) sissid atop doe ∞   i.e. flat in euclidean space
sissidagad, sissid || gad 4D small stellated decahedron atop great dodecahedron, sissid antiprism, gad antiprism 1
sissidaraded, sissid || raded 4D small stellated dodecahedron atop rhombidodecadodecahedron, sissid-first cap of padohi 2.497212
sissiddip 4D small-stellated-dodecahedron prism 0.771681
sissiddow 7D sissidic disphenoid, sissid atop fully orthogonal sissid 0.831254
sissidisc 5D small-stellated-dodecahedral scalene, small-stellated-dodecahedral-pyramid pyramid, line atop fully orthogonal small stellated dodecahedron 0.636010
sissidpy 4D small-stellated-dodecahedral pyramid, vertex cap of unit gofix, vertex cap of v-scaled gohi 0.618034
sistadip 4D square-pentagram duoprism 0.881132
sistadow 5D (square,pentagram)-disphenoid, square atop fully orthogonal pentagram 0.707107
sistodip 4D square - octagram duoprism 0.890446
sistople (old: stodop) 4D square-octagram plus-prism, octagram diorthoprism, compound of 2 sistodip 1.485633
sit thixady 4D small tritrigonal hecatonicosihexacosidishecatonicosachoron 3.835128
sitphi 4D small tripesic hecatonicosachoron 2.288246
sitpodadia 5D small (intersected) tripesic dodecahedronary dishecatonicosachoron alterprism 1.074481
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 5.236068
sixipady 4D small hexacosiprismatodishecatonicosachoron 6.881910
skatbacadint 5D small skewtrigonary biprismatocellidispenteractitriacontiditeron 1.5
skiv datapixady 4D small skewverted ditrigonary prismatohexacosadishecatonicosachoron 4.684471
skivcadach 3D small skewverted cubatiapeiroducubatic honeycomb
skiviphado 4D small skewverted prismatohexadecadisoctachoron 1.414214
skivpacoca 3D small skewverted prismatocubaticubatiapeiratic honeycomb
sladid (old: sit) 3D small lanceal disdodecahedron, strombic icositetrahedron, deltoidal icositetrahedron, tetragonal icosikaitetrahedron
sladit 3D small lanceal ditriacontahedron, strombic hexecontahedron, deltoidal hexecontahedron, tetragonal hexecontahedron
snadow, J84 3D snub disphenoid, snub digonal antiprism
snahi 4D s3s3s5s, snub hecatonicosachoron (but not shi), non-uniform alternation of gidpixhi ...
snan 5D snub penteract, alternation of great cellated penteractitriacontiditeron ...
snappoth 4D small spinoprismatotesseractihexadecachoron 1.485633
snasquat 2D snub square tiling
snathaph 3D snub trigonal-hexagonal prismatic honeycomb
snathat 2D snub trihexagonal tiling
snathet 2D hyperbolic snub triheptagonal tiling
snatoct 2D hyperbolic snub trioctagonal tiling
sne 3D snub icosiicosahedron, compound of 5 ike 0.951057
snet 4D s3s3s4s, snub tesseract, non-uniform alternation of gidpith ...
sni (old: snico) / snoc 4D s3s4s3s, (fully) snubbed icositetrachoron (but not sadi) / snubbed tetracontoctachoron, non-uniform alternation of gippic ...
snic 3D snub cube, snub cuboctahedron 1.343713
sniccap 4D s2s3s4s, snub-cubic antiprism, non-uniform alternation of gircope ...
sniccup, K-4.60 4D snub-cube prism, snub-cuboctahedron prism 1.433724
snich, s4s3s4s 3D (full) snub cubical honeycomb, snub bicubic honeycomb
snid 3D snub dodecahedron, snub icosidodecahedron 2.155837
sniddap 4D s2s3s5s, snub-dodecahedral antiprism, non-uniform alternation of griddip ...
sniddip, K-4.110 4D snub-dodecahedron prism, snub-icosidodecahedron prism 2.213060
snip / snad 4D s3s3s3s, snub pentachoron / snub decachoron, non-uniform alternation of gippid ...
snippit (old: spitac, alt.: snahin) 5D snub prismatotriacontaditeron (snub demipenteract), alternation of great prismated triacontaditeron ...
snisquap, J85 3D snub square antiprism
snit 3D pyritohedron, pyritosnub tetrahedron, o2o2o symmetric ike variant, vertex figure of hyperbolic cube + n-prism honeycomb sqrt[a2+c2]
snit 3D pyritohedron, pyritosnub tetrahedron, vertex alternated toe 1.581139
sno 3D snub octahedron, compound of 4 oct 0.707107
snod (snix) 5D snub dodecateron (snub hexateron), alternation of great cellated hexateron ...
snu 3D snubihedron, compound of 6 tet (but not sis) 0.612372
so 3D stella octangula, compound of 2 tet 0.612372
sobath 3D small biambotetrahedral honeycomb
sobcated 4D small bicuntitruncated decachoron, general variant of expanded decachoron, general variant of expanded bideca sqrt[(2a2+3ab+3b2+2ac+4bc+3c2)/5]
sobcotic 4D small bicuntitruncated tetracontoctachoron, general variant of expanded tetracontoctachoron, general variant of expanded bicont sqrt[a2+3ab+3b2+2ac sqrt(2)+4bc sqrt(2)+3c2]
sobpoxog 6D small biprismated hexeractihexacontatetrapeton, biruncinated hexeract, biruncinated hexacross 2.345208
sobteb 8D small biterated bi-enneazetton, bipentellated enneazetton 1.414214
socat 2D hyperbolic order 4 octagon tiling 0.594604 i
socco 3D small cubicuboctahedron 1.398966
soccope 4D small-cubicuboctahedron prism 1.485633
soccopen 7D (socco,pen)-duoprism 1.535287
socdip 4D stellated-octagonal duoprism, compound of 4 tes in odip army 1
sochax 6D small cellated hemihexeract, stericated demihexeract, pentic hexaract 1.322876
sodip, K-4.70 4D square - octagon duoprism 1.485633
sody 4D small deckishecatonicosachoron, snub decahecatonicosachoron, compound of 10 ex in hi army, compound of 2 spohi 1.618034
sophax 6D small prismated hemihexeract, runcinated demihexeract, steric hexeract 1.658312
sophi 4D small prismatohecatonicosachoron 3.077684
sophip 5D small-prismatohecatonicosachoron prism 3.118034
sople (old: odop) 4D square-octagon plus-prism, octagonal diorthoprism, compound of 2 sodip 1.485633
soro 8D small rhombated octeract, cantellated octeract 3.040171
sososaz 7D small hepteractihepteractihecatonicosoctaexon 1.719624
sossa 2D small squarisquariapeirogonal tiling
sost 2D squarisquaritiling
sotho 8D small terated hemiocteract, hexic octeract 1.732051
soxaxog 6D small hexeractihexeractihexacontitetrapeton 1.645329
soxaxogip 7D soxaxog prism 1.719624
soxeb 8D small exiated bi-enneazetton, heptellated enneazetton, expanded enneazetton, lattice A8 contact polytope (span of its roots) 1
spacyxh 5D small prismated cyclohexateric honeycomb
spaht 4D small prismated hexadecachoric tetracomb, small disicositetrachoric tetracomb, runcinated demitesseractic tetracomb
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
spaquinoh 5D small prismated quarterpenteractic pentacomb
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 0.509376 i
spene 8D small prismated enneazetton, runcinated enneazetton 1.452966
... 4D hexaconta-sphenated id-first deep parabidiminished rahi ...
sphiddix 4D small prismatohecatonicosadishexacosachoron 6.881910
sphiddixa 5D small prismatohecatonicosadishexacosachoron alterprism 6.893126
sphihix 4D small prismatohecatonicosahecatonicosahexacosachoron 5.515107
sphixhi 4D small prismatohecatonicosihexacosihecatonicosachoron 4.179968
spic 4D small prismatotetracontoctachoron, runcinated icositetrachoron, expanded icositetrachoron 1.847759
..., spic || srico 5D (degenerate) spic atop srico ∞   i.e. flat in euclidean space
spiccup 5D small-prismatotetracontoctachoron prism, runcinated-icositetrachoron prism 1.914214
spict 4D small prismated icositetrachoric tetracomb, small prismatotetracontaoctachoric tetracomb, runcinated icositetrachoric tetracomb
spid 4D small prismatodecachoron, runcinated pentachoron, expanded pentachoron, pyroperichoron, tetaco gyrobicupola, vertex figure of cypit, lattice A4 contact polytope (span of its roots) 1
spida rappip 6D spid || rappip, (rap,rap,spid)-trigonic 1
spidadeca, spid || deca 5D (degenerate) spid atop deca ∞   i.e. flat in euclidean space
spidapenp 6D spid atop penp, wedge of staf 1
spidaprip 5D spid atop prip, spid-first monostratic cap of spat 1.870829
spidasrip 5D spid atop srip, spid-first cap of spix 1.190238
spidatip 5D small-prismate-pentachoron atop alternate truncated-pentachoron 1.274755
spidded 3D hyperbolic small prismated disdodecahedral honeycomb, hyperbolic prismated order 5 dodecahedral honeycomb, hyperbolic runcinated order 5 dodecahedral honeycomb 1.272020 i
spiddih 3D hyperbolic (small) prismated order 3 icosahedral honeycomb, hyperbolic runcinated order 3 icosahedral honeycomb 1.272020 i
spiddihexah 3D hyperbolic small prismatodishexagonal-tiling honeycomb, runcinated order 6 hexagonal-tiling honeycomb 1 i
spiddip 5D small-prismatodecachoron prism 1.118034
spiddish 3D hyperbolic small prismated dissquare-tiling honeycomb 0.840896 i
spidditrah 3D hyperbolic small prismated distriangular-tiling honeycomb 0.759836 i
spidpy 5D (degenerate) spid pyramid ∞   i.e. flat in euclidean space
spidrico 4D swirlprismatodiminished rectified icositetrachoron, 24-diminished rectified icositetrachoron 1.732051
spidrox (alt.: hidrox) 4D swirlprismatodiminished rectified hexacosachoron, 120-diminished rectified hexacosachoron 3.077684
spidy 4D swirlprismattic dishecatonicosachoron, compound of 24 starpedip 1
spil 6D small prismated heptapeton, runcinated heptapeton 1.309307
... 5D vertex figure of spil 0.924211
spila (old: spilal spil) 7D small prismated heptapeton atop inverted small prismated heptapeton 1.322876
spittit (old: sidpitit) 4D small prismatotesseractic tetracomb, small diprismatotesseractic tetracomb, runcinated tesseractic tetracomb
spix 5D small prismated hexateron, runcinated hexateron 1.190238
... 4D q-laced {3} || gyro trip, vertex figure of srix 0.907485
spixa (old: spixalspix) 6D small prismated hexateron alterprism, small prismated hexateron atop inverted small prismated hexateron, medial segment of dot-first birectified hexacontitetrapeton 1.224745
spixady 4D small prismatohexacosadishecatonicosachoron 8.278950
spixalsarx 6D spix atop inverted sarx 1.290994
spixhihy 4D small prismatohexacosihecatonicosihecatonicosachoron 9.744610
spixip 6D small-prismated-hexateron prism 1.290994
spo 7D small prismated octaexon, runcinated octaexon 1.391941
spog 6D small prismatohexacontitetrapeton, runcinated hexacross 1.870829
spohi 4D small pentishecatonicosachoron, snub pentahecatonicosachoron, chiral compound of 5 ex in hi army 1.618034
spojak 6D small prismated icosiheptapeton 2.768875
sporraggix 4D swirlprismatoreplenished rectified grand hexacosachoron 0.726543
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
spuho 8D small petated hemiocteract 1.414214
spysp 4D small pyramidic swirlprism 1.618034
squaco 5D square-cuboctahedron duoprism 1.224745
squacu, J4 3D square cupola 1.398966
squacufbil 4D square-cupofastegia biluna, rotunda of quawros, square atop squobcu
squacupe, K-4.69 4D square-cupola prism, cube atop octagonal prism 1.485633
squadedip, K-4.97 4D square - decagon duoprism 1.765796
squadinit 5D square-diminished nit 1.224745
squadoe 5D square-dodecahedron duoprism 1.569562
squaf, K-4.14 4D square antifastegium, square - squap wedge, {4} || gyro cube, bidiminished octahedral antiprism 0.879465
squagirco 5D square great-rhombicuboctahedron duoprism 2.423081
squagrid 5D square - great-rhombicosidodecahedron duoprism 3.867584
squah 3D hyperbolic order 3 square-tiling honeycomb, hyperbolic honeycomb with seed point in center of right-angled octahedron domain 0.707107 i
squahex 6D square-hexadecachoron duoprism, vertex figure of braxh 1
squahi 6D square-hecatonicosachoron duoprism 3.769377
squahix 7D square - hexateron duoprism, hixip prism, vertex figure of bro 0.957427
squahop 8D square - heptapenton duoprism, vertex figure of barn 0.963624
squap 3D square antiprism 0.822664
... 4D cubiswirlic heptacontidichoron, twelvefold dissected cubic polytwister, twelvefold dissected cubiter 1.538189
... 5D squap - square duoprism, {4}-wedge of tessap 1.050501
squapen 6D square-pentachoron duoprism, vertex figure of bersa 0.948683
... 4D external blend of the square-antiprism prism and 2 cube-pyramids, cubic-pyramid-biaugmented square-antiprism prism
... 4D external blend of the square-antiprism prism and 2 squap-pyramids, squap-pyramid-biaugmented square-antiprism prism
squappip, K-4.19 4D square-antiprism prism 0.962692
squappy 4D square-antiprismatical pyramid 0.879465
squapt 4D (line-)square-antiprismatic tegum, square-antiprismatic bipyramid, square-pyramidal antiprism
squarahi 6D square - rectified-hecatonicosachoron duoprism 4.589369
squarap 6D square - rectified-pentachoron duoprism 1.048809
squarat 7D square rectified-triacontiditeron duoprism 1.224745
squarico 6D square - rectified-icositetrachoron duoprism 1.870829
squarit 6D square - rectified-tesseract duoprism 1.414214
squarox 6D square - rectified-hexacosachoron duoprism 3.157869
squasc (old: squippypy, alt: edihex), 4pyr-pyr, K-4.4 4D square-scalene, square-pyramidal pyramid, line atop fully orthogonal square, 1/4-luna of hex, 4 tet rosette, edge-diminished hex 0.707107
squascop 5D squasc prism, square-scalene prism, square atop cube 0.866025
... 4D squashed hexaconta-sphenated id-first deep parabidiminished rahi ...
squasirco 5D square - small-rhombicuboctahedron duoprism 1.567516
squasnic 5D square - snub-cube duoprism 1.518409
squasnid 5D square - snub-dodecahedron duoprism 2.268840
squasquasc 5D {4} atop squasc 0.790569
squasquippy 5D square-squippy duoprism, squippyp prism 1
squasrid 5D square - small-rhombicosidodecahedron duoprism 2.342236
squat 2D square tiling, 2D hypercubical honeycomb2), Voronoi complex of square lattice, Delone complex of square lattice
squatet 5D square-tetrahedron duoprism, square duofastegium, 2,4-duoprism cupoliprism, vertex figure of brox 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
squatricu 5D square-tricu duoprism 1.224745
squatut 5D square - truncated-tetrahedron duoprism 1.369306
squaw, K-4.64, {8} || squap 4D antitetrawedge, octagon - square-antiprismatic wedge, square gyrobicupolaic ring, {8} || squap, {4} || gyrated squacu 1.447009
squazat 2D order 4 apeirogonal tiling, hyperbolic order 4 horocyclic tiling 0.5 i
squepe 6D square pennene 0.707107
squete 5D square-pyramidal pyramid pyramid, square-tettene, 1/8 of the triacontiditeron 0.707107
squex 6D square-hexacosachoron duoprism 1.765796
squico 6D square-icositetrachoron duoprism 1.224745
squicuf, K-4.73 4D square cupofastegium, octagon - cube wedge of sidpith, square orthobicupolaic ring, {8} || cube, {4} || squacu, 1/4-luna of quawros 1.485634
squicuffip 5D squicuf prism, tes atop op 1.567516
squid 5D square-icosidodecahedron duoprism 1.765796
squiddaf 5D square duoantifastegium, digonal-square duoantiwedge, square prism atop bidual square prism 0.895420
squigybcu, J29 3D square gyrobicupola
squike 5D square-icosahedron duoprism 1.185120
squipdip, K-4.42 4D square-pentagon duoprism 1.106168
squippia squacu, K-4.109 4D square pyramid atop square cupola 1.847759
squippiaco, K-4.31 4D square-pyramid atop cuboctahedron 1
squippiatricu, K-4.32 4D square-pyramid atop triangular-cupola 1
squippy, 4pyr, J1 3D tetragonal pyramid, half of oct 0.707107
squippyal cube, K-4.16 4D squippy atop gyro cube 0.879465
squippyippy 5D square-pyramidal-prismatic pyramid, half of vertex pyramid of rectified triacontiditeron 1
squippyp, K-4.12 4D square-pyramidal prism, J1 prism, line || cube, digonal magnabicupolaic ring 0.866025
squipuf, K-4.105 4D square pucofastegium, square - octagon-prismatic wedge, square magnabicupolaic ring, {4} || op, {8} || squacu, square-cap of srit 1.847759
squix 7D square hixene, square atop fully orthogonal pentachoron 0.707107
squobcu, J28 3D square orthobicupola
squobcupe 4D square orthobicupola prism, J28 prism ...
squoc 9D square - octaexon duoprism, vertex figure of brade 0.968246
squoct 5D square-octahedron duoprism, vertex figure of brinoh 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
..., srahi || xhi 5D (degenerate) srahi atop xhi ∞   i.e. flat in euclidean space
srahip (old: srahipe) 5D small-rhombated-hecatonicosachoron prism 6.753568
sraht 2D small rhombihexagonal tiling
sram (old: skobram, skabram) 6D small rhombated pentacontitetrapeton, (small hebdomecontadiabirhombated pentacontitetrapeton) 3.316625
sratoh (old: ratoh) 3D small rhombated tetrahedral-octahedral honeycomb, runcinated alternated cubic honeycomb, runcinated tetrahedral-octahedral honeycomb, runcic cubic honeycomb
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
..., srico || cont 5D (degenerate) srico atop cont ∞   i.e. flat in euclidean space
..., srico || prico 5D (degenerate) srico atop prico ∞   i.e. flat in euclidean space
sricoa (old: sricoalsrico), srico || gyro srico 5D small-rhombated-icositetrachoron alterprism, small-rhombated-icositetrachoron atop gyrated small-rhombated-icositetrachoron 2.632865
sricope (old: sripe) 5D small-rhombated-icositetrachoron prism, cantellated-icositetrachoron prism 2.660531
sricot 4D small rhombated demitesseractic tetracomb, small prismatodisicositetrachoric tetracomb
srid 3D small rhombicosidodecahedron, expanded icosahedron, expanded dodecahedron 2.232951
..., xFoFx3ooooo5xofox&#xt   (F=ff=x+f) 4D bilunabirotundic rhombicosidodecahedron prism, castellated rhombicosidodecahedral prism
srida gridtum 4D bistratic srid-cap of prahi, (srid,grid)-based tutsachoron, (srid,grid)-based tutism 8.278950
sridaphi 4D small retroinverted dodecahedronary prismatohecatonicosachoron 1
sridati, srid || ti, K-4.126 4D small-rhombicosidodecahedron atop truncated-icosahedron 2.485450
sridatid, K-4.159 4D small rhombicosidodecahedron atop truncated dodecahedron, small-rhombicosidodecahedral cap of small rhombated hecatonicosachoron 6.735034
sridatidu 4D expanded axially-icosahedral ursachoron, (srid,tid)-based ursulate 3.077684
sriddip, K-4.111 4D small-rhombicosidodecahedron prism 2.288246
sriddoh 3D hyperbolic (small) rhombated (order 4) dodecahedral honeycomb, hyperbolic cantelated order 4 dodecahedral honeycomb 2.131920 i
sridixhi 4D small retroinverted dodecahedronary hexacosahecatonicosachoron 1
srih 3D hyperbolic (small) rhombated order 3 icosahedral honeycomb, hyperbolic cantelated order 3 icosahedral honeycomb 2.120267 i
sril 6D small rhombated heptapeton, cantellated heptapeton 1.362770
srip 4D small rhombated pentachoron, cantellated pentachoron 1.183216
sripa (alt: pabdinit, old: sripalsrip) 5D small rhombated pentachoron alterprism, small rhombated pentachoron atop inverted small rhombated pentachoron, parabidiminished nit, equatorial segment of nit 1.224745
sripa gippidtum 5D srip-first bistratic cap of pithin, (srip,gippid)-based tutsateron, (srip,gippid)-based tutism 2.371708
sripadeca 5D srip atop deca, srip-first half of sibrid 1.414214
sripadecu 5D (srip,deca)-based ursateron 1.514954
sripady 4D small rhombiprismic dishecatonicosachoron 8.278950
sripagrip 5D srip atop grip, srip-first cap of sibrant 2.236068
sripal pripu 5D (srip,inv.prip)-based ursateron 1.637956
sripalgrip, srip || inv grip 5D (degenerate) srip atop inverted grip ∞   i.e. flat in euclidean space
sripalprip 5D srip atop inverted prip, srip-first cap of sart 1.732051
sripaltip 5D srip atop inverted tip 1.274755
sripaprip 5D srip atop prip, srip-first cap of card 1.658312
sripatip 5D srip atop tip, srip-first segment of sarx 1.290994
sripech 3D hyperbolic rhombated order 5 cubic tesselation, hyperbolic cantellated order 5 cubic tesselation 2.053119 i
sriphi 4D small retropental hecatonicosachoron 3.077684
sripped 3D hyperbolic (small) rhombated order 5 dodecahedral honeycomb, hyperbolic cantelated order 5 dodecahedral honeycomb 1.546658 i
srippip 5D small-rhombated-pentachoron prism 1.284523
srit 4D small rhombated tesseract, cantellated tesseract 1.847759
..., srit || proh 5D (degenerate) srit atop proh ∞   i.e. flat in euclidean space
sritrah 3D hyperbolic (small) rhombated triangular-tiling honeycomb 1.467890 i
srittip 5D small-rhombated-tesseract prism 1.914214
srittit 4D small rhombitesseractic tetracomb, cantellated tesseractic tetracomb
srix 4D small rhombated hexacosachoron, cantellated hexacosachoron 6.073594
srixasrahi 5D (degenerate) srix atop srahi ∞   i.e. flat in euclidean space
srixip 5D small-rhombated-hexacosachoron prism, cantellated-hexacosachoron prism 6.094140
srocgrin 5D small retrocelligreat rhombated penteract 3.988340
srocth 3D hyperbolic small rhombated order 4 octahedral honeycomb 1.707107 i
srog 6D small rhombihexacontitetrapeton, cantellated hexacross 1.732051
sroh 5D small rhombihexahedron 1.398966
... 3D sroh+8{6/2} (?) 1.398966
srotazt 2D hyperbolic (small) rhombi-trigonal-horocyclic tiling 1.322876 i
srotehat 2D hyperbolic (small) rhombisquarehexagonal tiling 1.405256 i
sroteoct 2D hyperbolic (small) rhombitetraoctagonal tiling 1.175154 i
srotepet 2D hyperbolic rhombisquarepentagonal tiling 1.794231 i
srotezt 2D hyperbolic (small) rhombitetraapeirogonal tiling, hyperbolic rhombisquareapeirogonal tiling 0.978318 i
srothaph (old: rothaph) 3D (small) rhombitriangular-hexagonal prismatic honeycomb
srothat (old: rothat) 2D (small) rhombitrihexagonal tiling
srothet (old: sirthet) 2D small rhombitriheptagonal tiling, hyperbolic rhombitriheptagonal tiling 2.728895 i
srotoct (old: sirtoct) 2D hyperbolic (small) rhombitrioctagonal tiling 2.096343 i
srox 6D small rhombated hexeract, cantellated hexeract 2.515637
stacu 3D pentagrammic cupola, star cupola 0.866025
stacupe 4D pentagrammic-cupola prism, stip atop 2pip 0.874032
stade 5D stellated dodecateron, compound of 2 hix 0.645497
stadidip 4D decagram-decagram duoprism 0.874032
stadow 5D pentagrammic disphenoid, pentagram atop fully orthogonal pentagram 0.623054
staf (interim: stef) 6D small terated tetradecapeton, pentellated heptapeton, expanded heptapeton, lattice A6 contact polytope (span of its roots) 1
stafe 4D stellar (pentagrammal) antifastegium, pentagram - stap wedge, {5/2} || gyro stip 0.535857
stanq 7D small terated hecatonicosihexapentacosiheptacontihexaexon 1.658312
stap 3D bistrophic pentagrammic antiprism, stellar antiprism, 5/2-antiprism 0.656431
stapedit 4D ({5/2},{5})-duotegum, tegum product of a pentagon and a pentagram
stappip 4D pentagramic-antiprism prism 0.825168
stappy, 5/2-pyr 3D pentagrammic pyramid, stellated pentagonal pyramid 0.587785
stappyp 4D pentagram-pyramidal prism, line || stip 0.771681
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 tristrophic pentagrammic antiprism, stellar retroprism (retrograde stellar antiprism), 5/3-antiprism 0.587785
starpedip (old: stipdip, starpendip) 4D pentagram-pentagon duoprism, stellar (pentagonal) pentagonal diprism 1
starpedippy, pt || starpedip 5D (degenerate) starpedip pyramid ∞   i.e. flat in euclidean space
stasc (old: stappypy) 4D stellar scalene, pentagrammic scalene, pentagram-pyramidal pyramid, line atop fully orthogonal pentagram, 5 tet two-step rosette 0.618034
stasissiddow 6D (pentagramm,sissid)-disphenoid, pentagram atop fully orthogonal small stellated doedcahedron 0.639240
stastidedip 4D pentagram - decagram duoprism 0.811393
stastodip 4D pentagram - octagram duoprism 0.754511
state 5D stellar tettene, pentagrammic tettene, pentagram-pyramidal pyramid pyramid, triangle atop fully orthogonal pentagram 0.636010
stawros 4D pentagrammic ({10} || pip-)wedge rosette, bridge cyclopentaaugmented starpedip, ring-augmented starpedip
sted 4D stellated decachoron, compound of 2 pen 0.632456
stef 6D stellated tetradecapeton, compound of 2 hop 0.654654
stefacoth 4D small tesseractifaceted cubitesseractihexadecachoron 1.485633
steth 4D small tesseractitesseractihexadecachoron 1.485633
stethip 5D small-tesseractitesseractihexadecachoron prism 1.567516
stico (old: sico) 4D stellated icositetrachoron, stella tegmata, compound of 3 hex 0.707107
stiddip 3D (tristrophic) decagrammic prism, 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
stippy 4D stellated-pentagonal prismatic pyramid, vertex pyramid of the rectified grand hexacosachoron 0.726543
stiroh 7D small trirhombihexadecaexon, tricantellated octaexon 1.732051
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
stoct 5D pentagram - octahedron duoprism 0.881132
stodatixhi 4D small toroidoditrigonary hexacosihecatonicosachoron 1.732051
stodip 4D octagram-octagram duoprism 0.765367
stoditpix 4D small toroidoditrigonary prismatohexacosichoron 1.732051
stohix 7D octagram - hexateron duoprism 0.842354
stop (old: sop) 3D (tristrophic) octagrammic prism, stellated octagonal prism, 8/3-prism, 8-prism with winding number 3 0.736813
stopen 6D octagram-pentachoron duoprism 1.092197
stotet 5D octagram-tetrahedron duoprism, octagram duofastegium 0.817247
stotoe 5D octagram truncated-octahedron duoprism, star-octagon truncated-octahedron duoprism 1.671195
stowoct 5D octagram octahedron duoprism 0.890446
stoxog 6D small terated hexeractihexacontatetrapeton, pentellated hexeract, pentellated hexacross 1.645329
stut cadoca 3D small tritrigonary cubatidicubatiapeiratic honeycomb
stut dixady 4D small tritrigonal dihexacosidihecatonicosachoron 3.835128
stut phiddix 4D small tritrigonal prismatohecatonicosidishexacosachoron 3.835128
stut phiddixa 5D small tritrigonal prismatohecatonicosidishexacosachoron alterprism 3.855219
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, expanded octaexon, lattice A7 contact polytope (span of its roots) 1
suposaz 7D small petated hepteractihecatonicosoctaexon, hexicated hepteract 1.719624
suthesa 7D small terated demihepteract, hexic hepteract 1.369306
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
... 2D snub of hyperbolic [10,8,4,6] tiling with tetragonal Coxeter domain


... 3D rhombical dodeca-augmented snub-dodecahedral variant, rhombi-propello-icosahedron
... 3D icosa-expanded rhombic enneacontahedron
... 3D rhombical octa-augmented truncated-octehedral variant
... 3D expanded octa-augmented truncated-octehedral variant
... 3D rhombical hexa-augmented snub-cubical variant, rhombi-propello-octahedron
tabatch 3D truncated bitruncated-cubic-honeycomb
tabene 4D trigonal-bipyramidal enneacontahexachoron, rectified-icositetrachoron dual, surtegmated icositetrachoron
tabif 8D truncated diacositetracont-dischiliahectohexaconta-zetton 5.830952
tabtatoh 3D truncated bitruncated tetrahedral-octahedral honeycomb
tac 5D triacontiditeron, pentacross5), aeropet(id), pentachoral antiprism, vertex figure of gee, Gosset polytopes 21,1, lattice C5 contact polytope (span of its small roots) 0.707107
taccarat 6D triacontaditeron atop rectified triacontaditeron, tac-first rotunda of rectified hexacontitetrapeton 1
taccasc 7D triacontiditeron scalene 0.707107
taccup 6D triacontiditeron prism, vertex figure of rez 0.866025
taccuppy 7D triancontaditeron-prism pyramid, vertex pyramid of rectified hecatonicosoctaexon 1
tacog 6D tericellated hexacontitetrapeton, pentitruncated hexeract 3.121320
tacogral (old: gatocral) 6D tericelligreatorhombated heptapeton, pentistericantitruncated heptapeton 2.976095
tacox 6D tericellated hexeract, pentitruncated hexacross 2.474130
tacpy 6D triacontaditeric pyramid, vertex-first rotunda of gee 0.707107
tacpyp 7D triacontaditeric-pyramid prism, edge-first rotunda of geep 0.866025
tactaf 6D tericellitruncated tetradecapeton, pentisteritruncated heptapeton 2.236068
tadeca 4D truncated decachoron sqrt(2y2+7y+7)
tag 6D truncated hexacontitetrapeton 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
tagyrid, J74 3D trigyrated rhombicosidodecahedron 2.232951
tah 4D tesseractihexadecachoron, bitruncated tesseract, bitruncated hexadecachoron, runcicantic tesseract 2.121320
..., tah || grit 5D (degenerate) tah atop grit ∞   i.e. flat in euclidean space
taha (old: tahagtah), tah || gyro tah 5D tah alterprism, tah atop gyro tah 2.150581
tahatico 5D tah atop tico, tah-first segment of pirt 3
tahgyt 6D tesseractihexadecachoric gyrotrigonism 2.160247
tahi 4D triakishecatonicosachoron 2
tahp 5D tesseractihexadecachoron prism, bitruncated-tesseract prism, bitruncated-hexadecachoron prism 2.179449
take 10D truncated chilliaicositetraxennon, truncated decacross 1.581139
taki 3D truncated chiro-icosahedron, compound of 5 tut 1.172604
takus 7D teriskewed hepteract 1.658312
talq 7D truncated pentacontihexapentacosiheptacontihexaexon 2.645751
tan 5D truncated penteract 2.465447
tanoh 5D truncated penteractic pentacomb
tanq 7D truncated hecatonicosihexapentacosiheptacontihexaexon 2.179449
taope 5D triangle atop octahedral-prism 0.866025
tapech 3D hyperbolic truncated alternated order-5 cubic honeycomb, hyperbolic cantic order-5 cubic honeycomb 1.841352 i
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
tasquat 2D hyperbolic truncated infinite-order square tiling 1.098684 i
tassiph 3D truncated square prismatic honeycomb
tastic 4D truncated stellated tetracontoctachoron, compound of 2 truncated icositetrachora 2.645751
tat 4D truncated tesseract 2.149726
..., tat || grit 5D (degenerate) tat atop grit ∞   i.e. flat in euclidean space
..., tat || prit 5D (degenerate) tat atop prit ∞   i.e. flat in euclidean space
tatoh 3D truncated tetrahedral-octahedral honeycomb, truncated alternated cubic honeycomb, cantic cubic honeycomb
tatriddip 4D truncated triangular duoprism sqrt[(2y2+5x+5)/3]
tattip 5D truncated-tesseract prism 2.207107
tattit 4D truncated tesseractic tetracomb
tattoc 7D tritruncated octaexon 1.854050
tau ope 4D tetra-augmented ope
tau tope 4D tetra-augmented tope
taud, J61 3D triaugmented dodecahedron
tauhip, J57 3D triaugmented hexagonal prism
tautid, J71 3D triaugmented truncated dodecahedron
tautip, J51 3D triaugmented trigonal prism
tautipip 4D triaugmented-triangular-prism prism
tautisdip 4D triaugmented 3,4-duoprism ...
taz 7D truncated hecatonicosoctaexon, truncated heptacross 1.581139
tazat 2D hyperbolic truncated order 3 horocyclic tiling, hyperbolic truncated order 3 apeirogonal tiling 1.936492 i
tazt 2D hyperbolic trigonal-horocyclic tiling, hyperbolic triapeirogonal tiling 1 i
taztrat 2D hyperbolic truncated order ∞ trigonal tiling 1.414214 i
te 3D truncated icosiicosahedron, compound of 10 tut 1.172604
teday 9D truncated decayotton 1.431782
teddi adoe, teddi || doe, K-4.83 4D tridiminished-icosahedron atop dodecahedron, triminished segment of vertex-first hexacosachoron 1.618034
teddi aid, teddi || id, K-4.147 4D tridiminished icosahedron atop icosidodecahedron 3.077684
teddi, J63 3D tridiminished icosahedron, ursahedron, vertex figure of sadi 0.951057
teddipe 4D tridiminished-icosahedron prism 1.074481
teddipy, K-4.88 4D tridiminished-icosahedral pyramid 1.618034
teddoe 3D tetrahedrally diminished dodecahedron, vertex figure of pd{3,5,3} 1.401259
tedhin 5D tetradiminished hemipenteract, square || hex 0.790569
tedjak (alt.: hexgyt, hexalhin) 6D tridiminished icosiheptaheptacontidipeton, tridiminished 22,1, hexadecachoral gyrotrigonism 0.816497
tedrid, J83 3D tridiminished rhombicosidodecahedron, magnaursahedron 2.232951
tedrix 5D tridiminished rectified hexateron, square triorthowedge, lace simplex of 3 mutually orthogonal squares 0.816497
tehat 2D hyperbolic tetrahexagonal tiling 1 i
tehipau tuttip 4D hip-wise tetra-augmented tuttip
tek 8D truncated diacosipentacontahexazetton, truncated octacross 1.581139
tekah 3D tetrakis hexahedron, apiculated cube
telex 4D vertex first tele-elongated hexacosachoron
ten 9D truncated enneract 3.450631
tene 8D truncated enneazetton 1.414214
teoct 2D hyperbolic tetraoctagonal tiling 0.840896 i
tepaco (alt.: tettet cotric) 5D tepe atop co, 0.217953-luna of scad, (tet,tet,co)-trigonic, partial Stott expansion of hix 1
tepacube 5D tepe || cube, bidrap prism, bi-edge-dimin. rappip, wedge-faceted rappip 0.921954
tepasc 6D tetrahedral-prismatic scalene, tetrahedron-prism-pyramid pyramid, line atop fully orthogonal tetrahedron prism 0.866025
tepatut (alt.: tettet tuttric) 5D tepe atop tut, tepe-first wedge of siphin, (tet,tet,tut)-trigonic 1.274755
tepcus 3D tetrapod-cut-sirco 1.398966
tepdid 3D tripentadiminished icosidodecahedron 1.618034
tepe, K-4.9 (alt: dycuf) 4D tetrahedron prism, line || trip, square - square bi-wedge, digonal orthobicupolaic ring, vertex figure of rix, dyadic cupolafastegium 0.790569
tepeacope 5D tepe atop cope, tepe-first half of spiddip 1.118034
tepeatuttip 5D tepe atop tuttip, tetatut-prism 1.322876
tepepy 5D tetrahedral-prismatic pyramid, vertex pyramid of rectified hexateron 0.816497
tepepyp 6D tetrahedral-prismatic pyramid prism, prism of tepepy 0.957427
tepet (old: tepeat) 2D hyperbolic tetrapentagonal tiling 1.272020 i
teppix (old: dattix) 4D tripesic hexacosachoron, compound of 60 deca 1.414214
terjakh 6D tetrarectified icosiheptaheptacontidipetic hexacomb
tes (alt.: squadip), K-4.20 4D tesseract, octachoron, "hypercube", 4D measure-polytope4), 8-cell, geoter(id), square duoprism, vertex figure of icot 1
..., tes || sadi 5D tes atop sadi ∞   i.e. flat in euclidean space
..., tes || srit 5D (degenerate) tes atop srit ∞   i.e. flat in euclidean space
tespy 5D (degenerate) tes pyramid ∞   i.e. flat in euclidean space
tessap 5D tesseract antiprism, hexadecachoron antiprism 1.050501
tessarit 5D tesseract atop rectified tesseract 1.227160
test 4D tesseractic tetracomb, 4D hypercubical honeycomb4), Voronoi complex of C4 lattice, Delone complex of C4 lattice
tet 3D tetrahedron, 3D simplex3), pyrochor(id), regular trigonal pyramid, digonal antiprism, regular (di)sphenoid, hemicube, smaller Delone cell of face-centered cubic (fcc) lattice, regular line-scalene, regular (point-)tettene, vertex figure of pen, Gosset polytope 02 0.612372
teta ope (alt.: octarap, tetoct octtric) 5D tetrahedron atop octahedron-prism, octahedron atop rectified-pentachoron, half of dodecateron (its tet-first rotunda), (tet,oct,oct)-trigonic 0.866025
teta tuttip (alt.: tettut tuttric) 5D tet atop tuttip, tet-first cap of sirhin, (tet,tut,tut)-trigonic 1.620185
tetaco altut 4D tetrahedron atop cuboctahedron atop inverted truncated tetrahedron ...
tetaco ausrip 4D tetaco-augmented srip
tetaco, tet || co, K-4.23 4D tetrahedron atop cuboctahedron, tetrahedral rotunda of small prismatodecachoron 1
tetacoaoct 4D octahedron atop (pseudo) cuboctahedron atop tetrahedron 1
tetacope 5D tet atop cope, tet-first segment of spix 1.190238
tetaf (alt.: tetaltepe, tettet altettric) 5D tetrahedral antifastegium, tet atop inverted tepe, tet-first rotunda of hin, (tet,tet,dual tet)-trigonic 0.790569
tetafip 6D prism of tetrahedral antifastegium, tetaf prism, tepe atop inverted squatet, half of hinnip 0.935414
tetal tetdip 7D tet atop dual tetdip 0.935414
tetal tratet 6D tetrahedron atop alternate triangle,tetrahedron-duoprism 0.866025
tetaltut, tet || inv. tut 4D (degenerate) tetrahedron atop inverted truncated tetrahedron, (degenerate) tetrahedron atop alternate truncated tetrahedron ∞   i.e. flat in euclidean space
tetatricu, tet || tricu, K-4.24 4D tetrahedron atop trigonal cupola, 0.290215-luna of small prismatodecachoron 1
tetatut, K-4.56 4D tetrahedron atop truncated tetrahedron, tetrahedral cap of rectified tesseract 1.224745
tetco 6D tetrahedron-cuboctahedron duoprism 1.172604
tetco tuttric 5D (tet,co,tut)-trigonic 1.274755
tetcube 6D tetrahedron - cube duoprism 1.060660
tetcubedaw (alt.: daworsquip) 5D (tet,cube)-disphenoid, 1/6-lune of dodecateron, digonal antiprism atop axis-orthogonal square prism 0.866025
tetcubedaw (alt.: daworsquip) 5D (tet,cube)-disphenoid, dispenoid atop axis-orthogonal square prism 0.873214
tetdip 6D tetrahedron-tetrahedron duoprism, vertex figure of he 0.866025
tetdippy 7D tetdip pyramid, vertex pyramid of he 1
tetdoe 6D tetrahedron-dodecahedron duoprism 1.529224
tete (old: tedpy) 4D (line-)tetrahedron-tegum, tetrahedral bipyramid
tetgittith 7D (tet,gittith)-duoprism 1.080691
tetgocco 6D (tet,gocco)-duoprism 0.958067
tethex 7D tetrahedron - hexadecachoron duoprism, vertex figure of tark 0.935414
tethex aico 8D tethex atop ico 1
tethin 8D tetrahedron - hemipenteract duoprism, vertex figure of trigoh 1
tethix 8D tetrahedron-hexateron duoprism, vertex figure of treday 0.889757
tethop 9D tetrahedron-heptapeton duoprism, vertex figure of tru 0.896421
tetid 6D tetrahedron-icosidodecahedron duoprism 1.730039
tetike 6D tetrahedron-icosahedron duoprism 1.131154
tetoct 6D tetrahedron-octahedron duoprism, vertex figure of sez 0.935414
tetpen 7D tetrahedron-pentachoron duoprism, vertex figure of trene 0.880341
tetrap 7D tetrahedron - rectified-pentachoron duoprism, vertex figure of torfy 0.987421
tetripau tuttip 4D trip-wise tetra-augmented tuttip
tetsocco 6D (tet,socco)-duoprism 1.527124
tetsteth 7D (tet,steth)-duoprism 1.606894
tettac 8D tetrahedron-triacontiditeron duoprism, vertex figure of tarv 0.935414
tettepe 7D tetrahedron-tetrahedron duoprismatic prism, vertex figure of 03,3,1 1
tettes 7D tetrahedron-tesseract duoprism 1.172604
tettut 6D (tetrahedron,truncated-tetrahedron)-duoprism 1.322876
tetu 4D axially-tetrahedral ursachoron ofx3xoo3ooo&#xt, tet-based ursulate, vertex figure of sadit 1
tewau thawrorh 4D tetra-augmented thawro rhombochoron ...
tex 4D truncated hexacosachoron 4.643523
..., tex || sidpixhi 5D (degenerate) tex atop sidpixhi ∞   i.e. flat in euclidean space
texip 5D truncated-hexacosachoron prism 4.749980
tezt 2D hyperbolic tetragonal-horocyclic tiling, hyperbolic square-apeirogon tiling 0.707107 i
tha 2D trigonal hemiapeirogonal tesselation
thah 3D tetrahemihexahedron, vertex figure of tho, triangular crossed cuploid 0.707107
thahp 4D tetrahemihexahedral prism, vertex figure of rhohid 0.866025
thaph 3D truncated-hexagonal prismatic honeycomb
thaquitoth 4D tesseractihexadecaquasitruncated tesseractihexadecachoron 1.338990
thaquitpath 4D tesseractihexadecaquasitruncated prismatotesseractihexadecachoron 1.608038
that 2D trihexagonal tiling, Kagomé tiling
thatoth 4D tesseractihexadecatruncated tesseractihexadecachoron 1.790840
thatpath 4D tesseractihexadecatruncated prismatotesseractihexadecachoron 2.326846
thawro, J92 3D triangular hebesphenorotunda
... 4D thawro pyrite, octa-diminishing of id - srid - F-ike - ti tower ...
... 4D thawro wedge ...
thawrorh 4D thawro rhombochoron ...
... 4D thawro-wedged 1/6-luna of hexacosachoron ...
... 4D thawro-wedged 2/6-luna of hexacosachoron ...
thax 6D truncated hemihexeract, cantic hexeract 2.179449
theat 2D truncated heptagonal tiling, hyperbolic order 3 truncated heptagonal tiling 3.792295 i
thenne 9D truncated hemienneract, cantic enneract 2.850439
thesa 7D truncated demihepteract, cantic hepteract 2.423840
thet 2D hyperbolic triheptagonal tiling 2.012192 i
thetrat 2D truncated order 7 triangular tiling, hyperbolic order 7 truncated trigonal tiling 2.976586 i
thex 4D truncated hexadecachoron, cantic tesseract 1.581139
..., thex || prit 5D (degenerate) thex atop prit ∞   i.e. flat in euclidean space
thexa (old: thexag thex), thex || gyro thex 5D thex alterprism, thex atop gyro thex, equatorial segment of sirhin 1.620185
thexagtah 5D thex atop gyrated tah 2.371708
thexarico 5D thex atop rico, ico-first subsegment of sart 1.732051
thexatah 5D (degenerate) thex atop tah ∞   i.e. flat in euclidean space
thexgyt (alt.: pex tedjak) 6D truncated-hexadecachoral gyrotrigonism, partially expanded tridiminished icosiheptaheptacontidipeton, partially expanded tridiminished 21,2 1.632993
thexip 5D truncated-hexadecachoron prism 1.658312
thext 4D truncated hexadecachoric tetracomb, truncated demitesseractic tetracomb, cantic tesseractic tetracomb
thi 4D truncated hecatonicosachoron 8.218334
thiddip, K-4.47 4D triangle - hexagon duoprism, hexagon - hip wedge 1.154701
thihexat 2D hyperbolic truncated order 6 hexagonal tiling 1.221076 i
thin 5D truncated hemipenteract, cantic penteract 1.903943
thinoh 5D truncated hemipenteractic pentacomb
thipe 5D truncated-hecatonicosachoron prism 8.233530
thiph 3D triangular-hexagonal prismatic honeycomb
thisquat 2D hyperbolic truncated order 6 square tiling 1.632242 i
tho 4D tesseractihemioctachoron, octahemioctachoron, vertex figure of hehad 0.707107
thocto 8D truncated hemiocteract, cantic octeract 2.645751
thon 3D hyperbolic order 6 tetrahedral honeycomb 0 i
thoot thibbit 4D tomohexagonal-omnitruncated-trihexagonal duoprismatic tetracomb
thorahbit 4D tomohexagonal-rhombitrihexagonal duoprismatic tetracomb
thot thibbit 4D trihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb
thotithit 2D trihexagonaltruncated trihexagonal tiling
thox (old: thod) 6D triacontidiahemihexeract, triacontidihemidodecapenton, cytohemiectid, vertex figure of guhsa 0.707107
thrathibbit 8D trihexagonal-rhombitrihexagonal duoprismatic tetracomb
ti 3D truncated icosahedron, buckyball, Goldberg polyhedron GP(1,1) 2.478019
tiatid, ti || tid, K-4.151 4D truncated icosahedron atop truncated dodecahedron 3.835128
tibbic 4D triangular-bipyramidal chilliadiacosichoron, rectified-hecatonicosachoron dual, surtegmated hexacosachoron
tibbid (alt.: durap) 4D triangular-bipyramidal decachoron, rectified-pentachoron dual, surtegmated pentachoron, joined pentachoron
tibbit 4D triangular-bipyramidal triacontadichoron, rectified-tesseract dual, surtegmated hexadecachoron
tic 3D truncated cube, truncated hexahedron 1.778824
... 2D infinite polyhedron from alternating tic/tut structure
... 4D expanded augmented axially-octahedral ursachoron ofx3xoo4xxx&#xt
tica gircobcu 4D ticagirco bicupola
ticagirco, K-4.128