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general/6-polytopes

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B6 polytope

[[File:6-cube t0.svg160px]][6-cube](6-cube)[[File:6-cube t5.svg160px]][6-orthoplex](6-orthoplex)[[File:6-demicube t0 B6.svg160px]][6-demicube](6-demicube)

In 6-dimensional geometry, there are 64 uniform polytopes with B6 symmetry. There are two regular forms, the 6-orthoplex, and 6-cube with 12 and 64 vertices respectively. The 6-demicube is added with half the symmetry.

They can be visualized as symmetric orthographic projections in Coxeter planes of the B6 Coxeter group, and other subgroups. TOC

Graphs

Symmetric orthographic projections of these 64 polytopes can be made in the B6, B5, B4, B3, B2, A5, A3, Coxeter planes. Ak has [k+1] symmetry, and Bk has [2k] symmetry.

These 64 polytopes are each shown in these 8 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position.

#Coxeter plane graphsCoxeter-Dynkin diagramSchläfli symbolNamesB6[12]B5 / D4 / A4[10]B4[8]B3 / A2[6]B2[4]A5[6]A3[4]12345664789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263
[[File:6-cube t5.svg80px]][[File:6-cube t5 B5.svg80px]][[File:6-cube t5 B4.svg80px]][[File:6-cube t5 B3.svg80px]][[File:6-cube t5 B2.svg80px]][[File:6-cube t5 A5.svg80px]][[File:6-cube t5 A3.svg80px]]{3,3,3,3,4}[6-orthoplex](6-orthoplex)Hexacontatetrapeton (gee)
[[File:6-cube t4.svg80px]][[File:6-cube t4 B5.svg80px]][[File:6-cube t4 B4.svg80px]][[File:6-cube t4 B3.svg80px]][[File:6-cube t4 B2.svg80px]][[File:6-cube t4 A5.svg80px]][[File:6-cube t4 A3.svg80px]]t1{3,3,3,3,4}Rectified 6-orthoplexRectified hexacontatetrapeton (rag)
[[File:6-cube t3.svg80px]][[File:6-cube t3 B5.svg80px]][[File:6-cube t3 B4.svg80px]][[File:6-cube t3 B3.svg80px]][[File:6-cube t3 B2.svg80px]][[File:6-cube t3 A5.svg80px]][[File:6-cube t3 A3.svg80px]]t2{3,3,3,3,4}Birectified 6-orthoplexBirectified hexacontatetrapeton (brag)
[[File:6-cube t2.svg80px]][[File:6-cube t2 B5.svg80px]][[File:6-cube t2 B4.svg80px]][[File:6-cube t2 B3.svg80px]][[File:6-cube t2 B2.svg80px]][[File:6-cube t2 A5.svg80px]][[File:6-cube t2 A3.svg80px]]t2{4,3,3,3,3}Birectified 6-cubeBirectified hexeract (brox)
[[File:6-cube t1.svg80px]][[File:6-cube t1 B5.svg80px]][[File:6-cube t1 B4.svg80px]][[File:6-cube t1 B3.svg80px]][[File:6-cube t1 B2.svg80px]][[File:6-cube t1 A5.svg80px]][[File:6-cube t1 A3.svg80px]]t1{4,3,3,3,3}Rectified 6-cubeRectified hexeract (rax)
[[File:6-cube t0.svg80px]][[File:6-cube t0 B5.svg80px]][[File:4-cube t0.svg80px]][[File:6-cube t0 B3.svg80px]][[File:6-cube t0 B2.svg80px]][[File:6-cube t0 A5.svg80px]][[File:6-cube t0 A3.svg80px]]{4,3,3,3,3}[6-cube](6-cube)Hexeract (ax)
[[File:6-demicube t0 B6.svg80px]][[File:6-demicube t0 D6.svg80px]][[File:6-demicube t0 D5.svg80px]][[File:6-demicube t0 D4.svg80px]][[File:6-demicube t0 D3.svg80px]][[File:6-demicube t0 A5.svg80px]][[File:6-demicube t0 A3.svg80px]]h{4,3,3,3,3}[6-demicube](6-demicube)Hemihexeract
[[File:6-cube t45.svg80px]][[File:6-cube t45 B5.svg80px]][[File:6-cube t45 B4.svg80px]][[File:6-cube t45 B3.svg80px]][[File:6-cube t45 B2.svg80px]][[File:6-cube t45 A5.svg80px]][[File:6-cube t45 A3.svg80px]]t0,1{3,3,3,3,4}Truncated 6-orthoplexTruncated hexacontatetrapeton (tag)
[[File:6-cube t35.svg80px]][[File:6-cube t35 B5.svg80px]][[File:6-cube t35 B4.svg80px]][[File:6-cube t35 B3.svg80px]][[File:6-cube t35 B2.svg80px]][[File:6-cube t35 A5.svg80px]][[File:6-cube t35 A3.svg80px]]t0,2{3,3,3,3,4}Cantellated 6-orthoplexSmall rhombated hexacontatetrapeton (srog)
[[File:6-cube t34.svg80px]][[File:6-cube t34 B5.svg80px]][[File:6-cube t34 B4.svg80px]][[File:6-cube t34 B3.svg80px]][[File:6-cube t34 B2.svg80px]][[File:6-cube t34 A5.svg80px]][[File:6-cube t34 A3.svg80px]]t1,2{3,3,3,3,4}Bitruncated 6-orthoplexBitruncated hexacontatetrapeton (botag)
[[File:6-cube t25.svg80px]][[File:6-cube t25 B5.svg80px]][[File:6-cube t25 B4.svg80px]][[File:6-cube t25 B3.svg80px]][[File:6-cube t25 B2.svg80px]][[File:6-cube t25 A5.svg80px]][[File:6-cube t25 A3.svg80px]]t0,3{3,3,3,3,4}Runcinated 6-orthoplexSmall prismated hexacontatetrapeton (spog)
[[File:6-cube t24.svg80px]][[File:6-cube t24 B5.svg80px]][[File:6-cube t24 B4.svg80px]][[File:6-cube t24 B3.svg80px]][[File:6-cube t24 B2.svg80px]][[File:6-cube t24 A5.svg80px]][[File:6-cube t24 A3.svg80px]]t1,3{3,3,3,3,4}Bicantellated 6-orthoplexSmall birhombated hexacontatetrapeton (siborg)
[[File:6-cube t23.svg80px]][[File:6-cube t23 B5.svg80px]][[File:6-cube t23 B4.svg80px]][[File:6-cube t23 B3.svg80px]][[File:6-cube t23 B2.svg80px]][[File:6-cube t23 A5.svg80px]][[File:6-cube t23 A3.svg80px]]t2,3{4,3,3,3,3}Tritruncated 6-cubeHexeractihexacontitetrapeton (xog)
[[File:6-cube t15.svg80px]][[File:6-cube t15 B5.svg80px]][[File:6-cube t15 B4.svg80px]][[File:6-cube t15 B3.svg80px]][[File:6-cube t15 B2.svg80px]][[File:6-cube t15 A5.svg80px]][[File:6-cube t15 A3.svg80px]]t0,4{3,3,3,3,4}Stericated 6-orthoplexSmall cellated hexacontatetrapeton (scag)
[[File:6-cube t14.svg80px]][[File:6-cube t14 B5.svg80px]][[File:6-cube t14 B4.svg80px]][[File:6-cube t14 B3.svg80px]][[File:6-cube t14 B2.svg80px]][[File:6-cube t14 A5.svg80px]][[File:6-cube t14 A3.svg80px]]t1,4{4,3,3,3,3}Biruncinated 6-cubeSmall biprismato-hexeractihexacontitetrapeton (sobpoxog)
[[File:6-cube t13.svg80px]][[File:6-cube t13 B5.svg80px]][[File:6-cube t13 B4.svg80px]][[File:6-cube t13 B3.svg80px]][[File:6-cube t13 B2.svg80px]][[File:6-cube t13 A5.svg80px]][[File:6-cube t13 A3.svg80px]]t1,3{4,3,3,3,3}Bicantellated 6-cubeSmall birhombated hexeract (saborx)
[[File:6-cube t12.svg80px]][[File:6-cube t12 B5.svg80px]][[File:6-cube t12 B4.svg80px]][[File:6-cube t12 B3.svg80px]][[File:6-cube t12 B2.svg80px]][[File:6-cube t12 A5.svg80px]][[File:6-cube t12 A3.svg80px]]t1,2{4,3,3,3,3}Bitruncated 6-cubeBitruncated hexeract (botox)
[[File:6-cube t05.svg80px]][[File:6-cube t05 B5.svg80px]][[File:6-cube t05 B4.svg80px]][[File:6-cube t05 B3.svg80px]][[File:6-cube t05 B2.svg80px]][[File:6-cube t05 A5.svg80px]][[File:6-cube t05 A3.svg80px]]t0,5{4,3,3,3,3}Pentellated 6-cubeSmall teri-hexeractihexacontitetrapeton (stoxog)
[[File:6-cube t04.svg80px]][[File:6-cube t04 B5.svg80px]][[File:6-cube t04 B4.svg80px]][[File:6-cube t04 B3.svg80px]][[File:6-cube t04 B2.svg80px]][[File:6-cube t04 A5.svg80px]][[File:6-cube t04 A3.svg80px]]t0,4{4,3,3,3,3}Stericated 6-cubeSmall cellated hexeract (scox)
[[File:6-cube t03.svg80px]][[File:6-cube t03 B5.svg80px]][[File:6-cube t03 B4.svg80px]][[File:6-cube t03 B3.svg80px]][[File:6-cube t03 B2.svg80px]][[File:6-cube t03 A5.svg80px]][[File:6-cube t03 A3.svg80px]]t0,3{4,3,3,3,3}Runcinated 6-cubeSmall prismated hexeract (spox)
[[File:6-cube t02.svg80px]][[File:6-cube t02 B5.svg80px]][[File:6-cube t02 B4.svg80px]][[File:6-cube t02 B3.svg80px]][[File:6-cube t02 B2.svg80px]][[File:6-cube t02 A5.svg80px]][[File:6-cube t02 A3.svg80px]]t0,2{4,3,3,3,3}Cantellated 6-cubeSmall rhombated hexeract (srox)
[[File:6-cube t01.svg80px]][[File:6-cube t01 B5.svg80px]][[File:6-cube t01 B4.svg80px]][[File:6-cube t01 B3.svg80px]][[File:6-cube t01 B2.svg80px]][[File:6-cube t01 A5.svg80px]][[File:6-cube t01 A3.svg80px]]t0,1{4,3,3,3,3}Truncated 6-cubeTruncated hexeract (tox)
[[File:6-cube t345.svg80px]][[File:6-cube t345 B5.svg80px]][[File:6-cube t345 B4.svg80px]][[File:6-cube t345 B3.svg80px]][[File:6-cube t345 B2.svg80px]][[File:6-cube t345 A5.svg80px]][[File:6-cube t345 A3.svg80px]]t0,1,2{3,3,3,3,4}Cantitruncated 6-orthoplexGreat rhombated hexacontatetrapeton (grog)
[[File:6-cube t245.svg80px]][[File:6-cube t245 B5.svg80px]][[File:6-cube t245 B4.svg80px]][[File:6-cube t245 B3.svg80px]][[File:6-cube t245 B2.svg80px]][[File:6-cube t245 A5.svg80px]][[File:6-cube t245 A3.svg80px]]t0,1,3{3,3,3,3,4}Runcitruncated 6-orthoplexPrismatotruncated hexacontatetrapeton (potag)
[[File:6-cube t235.svg80px]][[File:6-cube t235 B5.svg80px]][[File:6-cube t235 B4.svg80px]][[File:6-cube t235 B3.svg80px]][[File:6-cube t235 B2.svg80px]][[File:6-cube t235 A5.svg80px]][[File:6-cube t235 A3.svg80px]]t0,2,3{3,3,3,3,4}Runcicantellated 6-orthoplexPrismatorhombated hexacontatetrapeton (prog)
[[File:6-cube t234.svg80px]][[File:6-cube t234 B5.svg80px]][[File:6-cube t234 B4.svg80px]][[File:6-cube t234 B3.svg80px]][[File:6-cube t234 B2.svg80px]][[File:6-cube t234 A5.svg80px]][[File:6-cube t234 A3.svg80px]]t1,2,3{3,3,3,3,4}Bicantitruncated 6-orthoplexGreat birhombated hexacontatetrapeton (gaborg)
[[File:6-cube t145.svg80px]][[File:6-cube t145 B5.svg80px]][[File:6-cube t145 B4.svg80px]][[File:6-cube t145 B3.svg80px]][[File:6-cube t145 B2.svg80px]][[File:6-cube t145 A5.svg80px]][[File:6-cube t145 A3.svg80px]]t0,1,4{3,3,3,3,4}Steritruncated 6-orthoplexCellitruncated hexacontatetrapeton (catog)
[[File:6-cube t135.svg80px]][[File:6-cube t135 B5.svg80px]][[File:6-cube t135 B4.svg80px]][[File:6-cube t135 B3.svg80px]][[File:6-cube t135 B2.svg80px]][[File:6-cube t135 A5.svg80px]][[File:6-cube t135 A3.svg80px]]t0,2,4{3,3,3,3,4}Stericantellated 6-orthoplexCellirhombated hexacontatetrapeton (crag)
[[File:6-cube t134.svg80px]][[File:6-cube t134 B5.svg80px]][[File:6-cube t134 B4.svg80px]][[File:6-cube t134 B3.svg80px]][[File:6-cube t134 B2.svg80px]][[File:6-cube t134 A5.svg80px]][[File:6-cube t134 A3.svg80px]]t1,2,4{3,3,3,3,4}Biruncitruncated 6-orthoplexBiprismatotruncated hexacontatetrapeton (boprax)
[[File:6-cube t125.svg80px]][[File:6-cube t125 B5.svg80px]][[File:6-cube t125 B4.svg80px]][[File:6-cube t125 B3.svg80px]][[File:6-cube t125 B2.svg80px]][[File:6-cube t125 A5.svg80px]][[File:6-cube t125 A3.svg80px]]t0,3,4{3,3,3,3,4}Steriruncinated 6-orthoplexCelliprismated hexacontatetrapeton (copog)
[[File:6-cube t124.svg80px]][[File:6-cube t124 B5.svg80px]][[File:6-cube t124 B4.svg80px]][[File:6-cube t124 B3.svg80px]][[File:6-cube t124 B2.svg80px]][[File:6-cube t124 A5.svg80px]][[File:6-cube t124 A3.svg80px]]t1,2,4{4,3,3,3,3}Biruncitruncated 6-cubeBiprismatotruncated hexeract (boprag)
[[File:6-cube t123.svg80px]][[File:6-cube t123 B5.svg80px]][[File:6-cube t123 B4.svg80px]][[File:6-cube t123 B3.svg80px]][[File:6-cube t123 B2.svg80px]][[File:6-cube t123 A5.svg80px]][[File:6-cube t123 A3.svg80px]]t1,2,3{4,3,3,3,3}Bicantitruncated 6-cubeGreat birhombated hexeract (gaborx)
[[File:6-cube t045.svg80px]][[File:6-cube t045 B5.svg80px]][[File:6-cube t045 B4.svg80px]][[File:6-cube t045 B3.svg80px]][[File:6-cube t045 B2.svg80px]][[File:6-cube t045 A5.svg80px]][[File:6-cube t045 A3.svg80px]]t0,1,5{3,3,3,3,4}Pentitruncated 6-orthoplexTeritruncated hexacontatetrapeton (tacox)
[[File:6-cube t035.svg80px]][[File:6-cube t035 B5.svg80px]][[File:6-cube t035 B4.svg80px]][[File:6-cube t035 B3.svg80px]][[File:6-cube t035 B2.svg80px]][[File:6-cube t035 A5.svg80px]][[File:6-cube t035 A3.svg80px]]t0,2,5{3,3,3,3,4}Penticantellated 6-orthoplexTerirhombated hexacontatetrapeton (tapox)
[[File:6-cube t034.svg80px]][[File:6-cube t034 B5.svg80px]][[File:6-cube t034 B4.svg80px]][[File:6-cube t034 B3.svg80px]][[File:6-cube t034 B2.svg80px]][[File:6-cube t034 A5.svg80px]][[File:6-cube t034 A3.svg80px]]t0,3,4{4,3,3,3,3}Steriruncinated 6-cubeCelliprismated hexeract (copox)
[[File:6-cube t025.svg80px]][[File:6-cube t025 B5.svg80px]][[File:6-cube t025 B4.svg80px]][[File:6-cube t025 B3.svg80px]][[File:6-cube t025 B2.svg80px]][[File:6-cube t025 A5.svg80px]][[File:6-cube t025 A3.svg80px]]t0,2,5{4,3,3,3,3}Penticantellated 6-cubeTerirhombated hexeract (topag)
[[File:6-cube t024.svg80px]][[File:6-cube t024 B5.svg80px]][[File:6-cube t024 B4.svg80px]][[File:6-cube t024 B3.svg80px]][[File:6-cube t024 B2.svg80px]][[File:6-cube t024 A5.svg80px]][[File:6-cube t024 A3.svg80px]]t0,2,4{4,3,3,3,3}Stericantellated 6-cubeCellirhombated hexeract (crax)
[[File:6-cube t023.svg80px]][[File:6-cube t023 B5.svg80px]][[File:6-cube t023 B4.svg80px]][[File:6-cube t023 B3.svg80px]][[File:6-cube t023 B2.svg80px]][[File:6-cube t023 A5.svg80px]][[File:6-cube t023 A3.svg80px]]t0,2,3{4,3,3,3,3}Runcicantellated 6-cubePrismatorhombated hexeract (prox)
[[File:6-cube t015.svg80px]][[File:6-cube t015 B5.svg80px]][[File:6-cube t015 B4.svg80px]][[File:6-cube t015 B3.svg80px]][[File:6-cube t015 B2.svg80px]][[File:6-cube t015 A5.svg80px]][[File:6-cube t015 A3.svg80px]]t0,1,5{4,3,3,3,3}Pentitruncated 6-cubeTeritruncated hexeract (tacog)
[[File:6-cube t014.svg80px]][[File:6-cube t014 B5.svg80px]][[File:6-cube t014 B4.svg80px]][[File:6-cube t014 B3.svg80px]][[File:6-cube t014 B2.svg80px]][[File:6-cube t014 A5.svg80px]][[File:6-cube t014 A3.svg80px]]t0,1,4{4,3,3,3,3}Steritruncated 6-cubeCellitruncated hexeract (catax)
[[File:6-cube t013.svg80px]][[File:6-cube t013 B5.svg80px]][[File:6-cube t013 B4.svg80px]][[File:6-cube t013 B3.svg80px]][[File:6-cube t013 B2.svg80px]][[File:6-cube t013 A5.svg80px]][[File:6-cube t013 A3.svg80px]]t0,1,3{4,3,3,3,3}Runcitruncated 6-cubePrismatotruncated hexeract (potax)
[[File:6-cube t012.svg80px]][[File:6-cube t012 B5.svg80px]][[File:6-cube t012 B4.svg80px]][[File:6-cube t012 B3.svg80px]][[File:6-cube t012 B2.svg80px]][[File:6-cube t012 A5.svg80px]][[File:6-cube t012 A3.svg80px]]t0,1,2{4,3,3,3,3}Cantitruncated 6-cubeGreat rhombated hexeract (grox)
[[File:6-cube t2345.svg80px]][[File:6-cube t2345 B5.svg80px]][[File:6-cube t2345 B4.svg80px]][[File:6-cube t2345 B3.svg80px]][[File:6-cube t2345 B2.svg80px]][[File:6-cube t2345 A5.svg80px]][[File:6-cube t2345 A3.svg80px]]t0,1,2,3{3,3,3,3,4}Runcicantitruncated 6-orthoplexGreat prismated hexacontatetrapeton (gopog)
[[File:6-cube t1345.svg80px]][[File:6-cube t1345 B5.svg80px]][[File:6-cube t1345 B4.svg80px]][[File:6-cube t1345 B3.svg80px]][[File:6-cube t1345 B2.svg80px]][[File:6-cube t1345 A5.svg80px]][[File:6-cube t1345 A3.svg80px]]t0,1,2,4{3,3,3,3,4}Stericantitruncated 6-orthoplexCelligreatorhombated hexacontatetrapeton (cagorg)
[[File:6-cube t1245.svg80px]][[File:6-cube t1245 B5.svg80px]][[File:6-cube t1245 B4.svg80px]][[File:6-cube t1245 B3.svg80px]][[File:6-cube t1245 B2.svg80px]][[File:6-cube t1245 A5.svg80px]][[File:6-cube t1245 A3.svg80px]]t0,1,3,4{3,3,3,3,4}Steriruncitruncated 6-orthoplexCelliprismatotruncated hexacontatetrapeton (captog)
[[File:6-cube t1235.svg80px]][[File:6-cube t1235 B5.svg80px]][[File:6-cube t1235 B4.svg80px]][[File:6-cube t1235 B3.svg80px]][[File:6-cube t1235 B2.svg80px]][[File:6-cube t1235 A5.svg80px]][[File:6-cube t1235 A3.svg80px]]t0,2,3,4{3,3,3,3,4}Steriruncicantellated 6-orthoplexCelliprismatorhombated hexacontatetrapeton (coprag)
[[File:6-cube t1234.svg80px]][[File:6-cube t1234 B5.svg80px]][[File:6-cube t1234 B4.svg80px]][[File:6-cube t1234 B3.svg80px]][[File:6-cube t1234 B2.svg80px]][[File:6-cube t1234 A5.svg80px]][[File:6-cube t1234 A3.svg80px]]t1,2,3,4{4,3,3,3,3}Biruncicantitruncated 6-cubeGreat biprismato-hexeractihexacontitetrapeton (gobpoxog)
[[File:6-cube t0345.svg80px]][[File:6-cube t0345 B5.svg80px]][[File:6-cube t0345 B4.svg80px]][[File:6-cube t0345 B3.svg80px]][[File:6-cube t0345 B2.svg80px]][[File:6-cube t0345 A5.svg80px]][[File:6-cube t0345 A3.svg80px]]t0,1,2,5{3,3,3,3,4}Penticantitruncated 6-orthoplexTerigreatorhombated hexacontatetrapeton (togrig)
[[File:6-cube t0245.svg80px]][[File:6-cube t0245 B5.svg80px]][[File:6-cube t0245 B4.svg80px]][[File:6-cube t0245 B3.svg80px]][[File:6-cube t0245 B2.svg80px]][[File:6-cube t0245 A5.svg80px]][[File:6-cube t0245 A3.svg80px]]t0,1,3,5{3,3,3,3,4}Pentiruncitruncated 6-orthoplexTeriprismatotruncated hexacontatetrapeton (tocrax)
[[File:6-cube t0235.svg80px]][[File:6-cube t0235 B5.svg80px]][[File:6-cube t0235 B4.svg80px]][[File:6-cube t0235 B3.svg80px]][[File:6-cube t0235 B2.svg80px]][[File:6-cube t0235 A5.svg80px]][[File:6-cube t0235 A3.svg80px]]t0,2,3,5{4,3,3,3,3}Pentiruncicantellated 6-cubeTeriprismatorhombi-hexeractihexacontitetrapeton (tiprixog)
[[File:6-cube t0234.svg80px]][[File:6-cube t0234 B5.svg80px]][[File:6-cube t0234 B4.svg80px]][[File:6-cube t0234 B3.svg80px]][[File:6-cube t0234 B2.svg80px]][[File:6-cube t0234 A5.svg80px]][[File:6-cube t0234 A3.svg80px]]t0,2,3,4{4,3,3,3,3}Steriruncicantellated 6-cubeCelliprismatorhombated hexeract (coprix)
[[File:6-cube t0145.svg80px]][[File:6-cube t0145 B5.svg80px]][[File:6-cube t0145 B4.svg80px]][[File:6-cube t0145 B3.svg80px]][[File:6-cube t0145 B2.svg80px]][[File:6-cube t0145 A5.svg80px]][[File:6-cube t0145 A3.svg80px]]t0,1,4,5{4,3,3,3,3}Pentisteritruncated 6-cubeTericelli-hexeractihexacontitetrapeton (tactaxog)
[[File:6-cube t0135.svg80px]][[File:6-cube t0135 B5.svg80px]][[File:6-cube t0135 B4.svg80px]][[File:6-cube t0135 B3.svg80px]][[File:6-cube t0135 B2.svg80px]][[File:6-cube t0135 A5.svg80px]][[File:6-cube t0135 A3.svg80px]]t0,1,3,5{4,3,3,3,3}Pentiruncitruncated 6-cubeTeriprismatotruncated hexeract (tocrag)
[[File:6-cube t0134.svg80px]][[File:6-cube t0134 B5.svg80px]][[File:6-cube t0134 B4.svg80px]][[File:6-cube t0134 B3.svg80px]][[File:6-cube t0134 B2.svg80px]][[File:6-cube t0134 A5.svg80px]][[File:6-cube t0134 A3.svg80px]]t0,1,3,4{4,3,3,3,3}Steriruncitruncated 6-cubeCelliprismatotruncated hexeract (captix)
[[File:6-cube t0125.svg80px]][[File:6-cube t0125 B5.svg80px]][[File:6-cube t0125 B4.svg80px]][[File:6-cube t0125 B3.svg80px]][[File:6-cube t0125 B2.svg80px]][[File:6-cube t0125 A5.svg80px]][[File:6-cube t0125 A3.svg80px]]t0,1,2,5{4,3,3,3,3}Penticantitruncated 6-cubeTerigreatorhombated hexeract (togrix)
[[File:6-cube t0124.svg80px]][[File:6-cube t0124 B5.svg80px]][[File:6-cube t0124 B4.svg80px]][[File:6-cube t0124 B3.svg80px]][[File:6-cube t0124 B2.svg80px]][[File:6-cube t0124 A5.svg80px]][[File:6-cube t0124 A3.svg80px]]t0,1,2,4{4,3,3,3,3}Stericantitruncated 6-cubeCelligreatorhombated hexeract (cagorx)
[[File:6-cube t0123.svg80px]][[File:6-cube t0123 B5.svg80px]][[File:6-cube t0123 B4.svg80px]][[File:6-cube t0123 B3.svg80px]][[File:6-cube t0123 B2.svg80px]][[File:6-cube t0123 A5.svg80px]][[File:6-cube t0123 A3.svg80px]]t0,1,2,3{4,3,3,3,3}Runcicantitruncated 6-cubeGreat prismated hexeract (gippox)
[[File:6-cube t12345.svg80px]][[File:6-cube t12345 B5.svg80px]][[File:6-cube t12345 B4.svg80px]][[File:6-cube t12345 B3.svg80px]][[File:6-cube t12345 B2.svg80px]][[File:6-cube t12345 A5.svg80px]][[File:6-cube t12345 A3.svg80px]]t0,1,2,3,4{3,3,3,3,4}Steriruncicantitruncated 6-orthoplexGreat cellated hexacontatetrapeton (gocog)
[[File:6-cube t02345.svg80px]][[File:6-cube t02345 B5.svg80px]][[File:6-cube t02345 B4.svg80px]][[File:6-cube t02345 B3.svg80px]][[File:6-cube t02345 B2.svg80px]][[File:6-cube t02345 A5.svg80px]][[File:6-cube t02345 A3.svg80px]]t0,1,2,3,5{3,3,3,3,4}Pentiruncicantitruncated 6-orthoplexTerigreatoprismated hexacontatetrapeton (tagpog)
[[File:6-cube t01345.svg80px]][[File:6-cube t01345 B5.svg80px]][[File:6-cube t01345 B4.svg80px]][[File:6-cube t01345 B3.svg80px]][[File:6-cube t01345 B2.svg80px]][[File:6-cube t01345 A5.svg80px]][[File:6-cube t01345 A3.svg80px]]t0,1,2,4,5{3,3,3,3,4}Pentistericantitruncated 6-orthoplexTericelligreatorhombated hexacontatetrapeton (tecagorg)
[[File:6-cube t01245.svg80px]][[File:6-cube t01245 B5.svg80px]][[File:6-cube t01245 B4.svg80px]][[File:6-cube t01245 B3.svg80px]][[File:6-cube t01245 B2.svg80px]][[File:6-cube t01245 A5.svg80px]][[File:6-cube t01245 A3.svg80px]]t0,1,2,4,5{4,3,3,3,3}Pentistericantitruncated 6-cubeTericelligreatorhombated hexeract (tocagrax)
[[File:6-cube t01235.svg80px]][[File:6-cube t01235 B5.svg80px]][[File:6-cube t01235 B4.svg80px]][[File:6-cube t01235 B3.svg80px]][[File:6-cube t01235 B2.svg80px]][[File:6-cube t01235 A5.svg80px]][[File:6-cube t01235 A3.svg80px]]t0,1,2,3,5{4,3,3,3,3}Pentiruncicantitruncated 6-cubeTerigreatoprismated hexeract (tagpox)
[[File:6-cube t01234.svg80px]][[File:6-cube t01234 B5.svg80px]][[File:6-cube t01234 B4.svg80px]][[File:6-cube t01234 B3.svg80px]][[File:6-cube t01234 B2.svg80px]][[File:6-cube t01234 A5.svg80px]][[File:6-cube t01234 A3.svg80px]]t0,1,2,3,4{4,3,3,3,3}Steriruncicantitruncated 6-cubeGreat cellated hexeract (gocax)
[[File:6-cube t012345.svg80px]][[File:6-cube t012345 B5.svg80px]][[File:6-cube t012345 B4.svg80px]][[File:6-cube t012345 B3.svg80px]][[File:6-cube t012345 B2.svg80px]][[File:6-cube t012345 A5.svg80px]][[File:6-cube t012345 A3.svg80px]]t0,1,2,3,4,5{4,3,3,3,3}Omnitruncated 6-cubeGreat teri-hexeractihexacontitetrapeton (gotaxog)

References

  • H.S.M. Coxeter:
    • H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New York, 1973
  • Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995,
    • (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10]
    • (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
    • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
  • N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D. Dissertation, University of Toronto, 1966

Notes

References

  1. "Wiley::Kaleidoscopes: Selected Writings of H.S.M. Coxeter".
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