User:Tomruen/uniform polychoron table

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Data table for Uniform polychoron

   Index  JB Name  Name Cell type count C1 C2 C3 C4 # C1/v # C2/v # C3/v # C4/v # C/v # C1 # C2 # C3 # C4 Vertex figure Euler C F E V {3} {4} {5} {6} {8} {10}
Pentachoric (5-cell) Symmetry: 1-9
0 1 PEN 5-cell {3,3,3} 1 {3,3}       4       4 5       {3,3} 0 5 10 10 5 10 0 0 0 0 0
1 3 TIP Truncated 5-cell 2 {3,3} 3.6.6     1 3     4 5 5     {3,3} 0 10 30 40 20 20 0 0 10 0 0
2 2 RAP Rectified 5-cell 2 {3,3} {3,4}     2 3     5 5 5     3.4.4 0 10 30 30 10 30 0 0 0 0 0
3 4 SRIP Cantellated 5-cell 3 3.4.4 {3,4} 3.4.3.4   2 1 2   5 10 5 5   3.4.4 0 20 80 90 30 50 30 0 0 0 0
4 7 GRIP Cantitruncated 5-cell 3 3.4.4 3.6.6 4.6.6   1 1 2   4 10 5 5   {3,3} 0 20 80 120 60 20 30 0 30 0 0
5 8 PRIP Runcitruncated 5-cell 4 3.4.4 3.6.6 4.4.6 3.4.4.4 1 1 2 1 5 10 5 10 5 4-pyr 0 30 120 150 60 40 60 0 20 0 0
6 6 DECA Bitruncated 5-cell 1 3.6.6       4       4 10       {3,3} 0 10 40 60 30 20 0 0 20 0 0
7 5 SPID Runcinated 5-cell 2 {3,3} 3.4.4     2 6     8 10 20     {3,4} 0 30 70 60 20 40 30 0 0 0 0
8 9 GIPPID Omnitruncated 5-cell 2 4.4.6 4.6.6     2 2     4 20 10     {3,3} 0 30 150 240 120 0 90 0 60 0 0
Hexadecachoric (16 cell) Symmetry: 10-21
0 10 TES Tesseract {4,3,3} 1 {4,3}       4       4 8       {3,3} 0 8 24 32 16 0 24 0 0 0 0
0.5 12 HEX 16-cell {3,3,4} 1 {3,3}       8       8 16       {3,4} 0 16 32 24 8 32 0 0 0 0 0
1 13 TAT Truncated tesseract 2 {3,3} 3.8.8     1 3     4 16 8     {3,3} 0 24 88 128 64 64 0 0 0 24 0
1.5 17 THEX Truncated 16-cell 2 3.6.6 {3,4}     4 1     5 16 8     4-pyr 0 24 96 120 48 64 0 0 32 0 0
2 11 RIT Rectified tesseract 2 {3,3} 3.4.3.4     3 2     5 16 8     3.4.4 0 24 88 96 32 64 24 0 0 0 0
2.5 -- -- Rectified 16-cell (24-cell)                                 24 96 96 24 96 0 0 0 0 0
3 14 SRIT Cantellated tesseract 3 3.4.4 {3,4} 3.4.4.4   2 1 2   5 32 16 8   3.4.4 0 56 248 288 96 128 120 0 0 0 0
3.5 -- -- Cantellated 16-cell
(Rect. 24-cell)		                                 48 240 288 96 96 144 0 0 0 0
4 18 GRIT Cantitruncated tesseract 3 3.4.4 3.6.6 4.6.8   1 1 2   4 32 16 8   {3,3} 0 56 248 384 192 64 96 0 64 24 0
4.5 -- -- Cantitruncated 16-cell
(Trunc. 24-cell)		                                 48 240 384 192 0 144 0 96 0 0
5 19 PROH Runcitruncated tesseract 4 3.4.4 3.8.8 4.4.8 3.4.3.4 1 1 2 1 5 32 8 24 16 4-pyr 0 80 368 480 192 128 192 0 0 48 0
5.5 20 PRIT Runcitruncated 16-cell 4 3.6.6 {4,3} 4.4.6 3.4.4.4 1 1 2 1 5 16 24 32 8 4-pyr 0 80 368 480 192 64 240 0 64 0 0
6 16 TAH Bitruncated tesseract 2 3.6.6 4.6.6     2 2     4 16 8     {3,3} 0 24 120 192 96 32 24 0 64 0 0
7 15 SIDPITH Runcinated tesseract 3 {3,3} 3.4.4 {4,3}   1 3 4   8 16 32 32   {3,4} 0 80 208 192 64 64 144 0 0 0 0
8 21 GIDPITH Omnitruncated tesseract 4 4.4.6 4.4.8 4.6.6 4.6.8 1 1 1 1 4 32 24 16 8 {3,3} 0 80 464 768 384 0 288 0 128 48 0
Icositetrachoric (24-cell) Symmetry: 22-31
0 22 ICO 24-cell {3,4,3} 1 {3,4}       6       6 24       {4,3} 0 24 96 96 24 96 0 0 0 0 0
1 24 TICO Truncated 24-cell 2 {4,3} 4.6.6     1 3     4 24 24     {3,3} 0 48 240 384 192 0 144 0 96 0 0
2 23 RICO Rectified 24-cell 2 {4,3} 3.4.3.4     2 3     5 24 24     3.4.4 0 48 240 288 96 96 144 0 0 0 0
3 25 SRICO Cantellated 24-cell 3 3.4.4 3.4.3.4 3.4.4.4   2 2 1   5 96 24 24   3.4.4 0 144 720 864 288 288 432 0 0 0 0
4 28 GRICO Cantitruncated 24-cell 3 3.4.4 3.8.8 4.6.8   1 1 2   4 96 24 24   {3,3} 0 144 720 1152 576 192 288 0 96 144 0
5 29 PRICO Runcitruncated 24-cell 4 3.4.4 4.4.6 4.6.6 3.4.4.4 1 2 1 1 5 96 96 24 24 4-pyr 0 240 1104 1440 576 192 720 0 192 0 0
6 27 CONT Bitruncated 24-cell 1 3.8.8       4       4 48       {3,3} 0 48 336 576 288 192 0 0 0 144 0
7 26 SPIC Runcinated 24-cell 2 3.4.4 {3,4}     8 2     10 192 48     3.3.3.4 0 240 672 576 144 384 288 0 0 0 0
8 30 GIPPIC Omnitruncated 24-cell 2 4.4.6 4.6.8     2 2     4 192 48     {3,3} 0 240 1392 2304 1152 0 864 0 384 144 0
9 31 SADI Snub 24-cell 2 {3,3} {3,5}     5 3     8 120 24     tridim 0 144 480 432 96 480 0 0 0 0 0
Hexacosichoric (600-cell) Symmetry: 32-46
0 32 HI 120-cell {5,3,3} 1 {5,3}       4       4 120       {3,3} 0 120 720 1200 600 0 0 720 0 0 0
0.5 35 EX 600-cell {3,3,5} 1 {3,3}       20       20 600       {3,5} 0 600 1200 720 120 1200 0 0 0 0 0
1 36 THI Truncated 120-cell 2 {3,3} 3.10.10     1 3     4 600 120     {3,3} 0 720 3120 4800 2400 2400 0 0 0 0 720
1.5 41 TEX Truncated 600-cell 2 3.6.6 3.3.3.3.4     5 1     6 600 120     5-pyr 0 720 3600 4320 1440 2400 0 0 1200 0 0
2 33 RAHI Rectified 120-cell 2 {3,3} 3.5.3.5     2 3     5 600 120     3.4.4 0 720 3120 3600 1200 2400 0 720 0 0 0
2.5 34 ROX Rectified 600-cell 2 {3,4} {3,5}     5 2     7 600 120     4.4.5 0 720 3600 3600 720 3600 0 0 0 0 0
3 37 SRAHI Cantellated 120-cell 3 3.4.4 {3,4} 3.4.5.4   2 1 2   5 1200 600 120   3.4.4 0 1920 9120 10800 3600 4800 3600 720 0 0 0
3.5 40 SRIX Cantellated 600-cell 3 4.4.5 3.4.3.4 3.5.3.5   2 2 1   5 720 600 120   3.4.4 0 1440 8640 10800 3600 3600 3600 1440 0 0 0
4 42 GRAHI Cantitruncated 120-cell 3 3.4.4 3.6.6 4.6.10   1 1 2   4 1200 600 120   {3,3} 0 1920 9120 14400 7200 2400 3600 0 2400 0 720
4.5 45 GRIX Cantitruncated 600-cell 3 4.4.5 4.6.6 5.6.6   1 2 1   4 720 600 120   {3,3} 0 1440 8640 14400 7200 0 3600 1440 3600 0 0
5 43 PRIX Runcitruncated 120-cell 4 3.4.4 3.10.10 4.4.10 3.4.3.4 1 1 2 1 5 1200 120 720 600 4-pyr 0 2640 13440 18000 7200 4800 7200 0 0 0 1440
5.5 44 PRAHI Runcitruncated 600-cell 4 3.6.6 4.4.5 4.4.6 3.4.5.4 1 1 2 1 5 600 720 1200 120 4-pyr 0 2640 13440 18000 7200 2400 7200 1440 2400 0 0
6 39 XHI Bitruncated 120-cell 2 3.6.6 5.6.6     2 2     4 600 120     {3,3} 0 720 4320 7200 3600 1200 0 720 2400 0 0
7 38 SIDPIXHI Runcinated 120-cell 4 {3,3} 3.6.6 4.4.5 {5,3} 1 3 3 1 8 600 1200 720 120 {3,4} 0 2640 7440 7200 2400 2400 3600 1440 0 0 0
8 46 GIDPIXHI Omnitruncated 120-cell 4 4.4.6 4.4.10 4.6.6 4.6.10 1 1 1 1 4 1200 720 600 120 {3,3} 0 2640 17040 28800 14400 0 10800 0 4800 0 1440
Grand-Antiprism: 47
  47 GAP Grand antiprism 2 {3,3} 3.3.3.5     10 2     12 300 20     {3,5}/2 0 320 720 500 100 700 0 20 0 0 0
Archimedean-Prisms: 48-64
  48 TEPE Tetrahedral hyperprism 2 {3,3} 3.4.4     1 3     4 2 4     {3,3} 0 6 14 16 8 8 6 0 0 0 0
  49 TUTTIP Truncated-tetrahedral hyperprism 3 3.4.4 3.6.6 4.4.6   1 1 2   4 4 2 4   {3,3} 0 10 34 48 24 8 18 0 8 0 0
  50 COPE Cuboctahedral hyperprism 3 3.4.4 {4,3} 3.4.3.4   2 2 1   5 8 6 2   4-pyr 0 16 52 60 24 16 36 0 0 0 0
  51 OPE Octahedral hyperprism 2 3.4.4 {4,3}     4 1     5 8 2     4-pyr 0 10 28 30 12 16 12 0 0 0 0
  52 TICCUP Truncated-cubic hyperprism 3 3.4.4 3.8.8 4.4.6   1 1 2   4 8 2 6   {3,3} 0 16 64 96 48 16 36 0 0 12 0
  53 SIRCOPE Rhombicuboctahedral hyperprism 3 3.4.4 {4,3} 3.4.4.4   1 3 1   5 8 18 2   4-pyr 0 28 100 120 48 16 84 0 0 0 0
  54 TOPE Truncated-octahedral hyperprism 3 {4,3} 4.4.6 4.6.6   1 2 1   4 6 8 2   {3,3} 0 16 64 96 48 0 48 0 16 0 0
  55 GIRCOPE Truncated cuboctahedral hyperprism 4 {4,3} 4.4.6 4.4.8 4.6.8 1 1 1 1 4 12 8 6 2 {3,3} 0 28 124 192 96 0 96 0 16 12 0
  56 SNICCUP Snub-cubic hyperprism 3 3.4.4 {4,3} 3.3.3.3.4   4 1 1   6 32 6 2   5-pyr 0 40 136 144 48 64 72 0 0 0 0
  57 DOPE Dodecahedral hyperprism 2 4.4.5 {5,3}     3 1     4 12 2     {3,3} 0 14 54 80 40 0 30 24 0 0 0
  58 IDDIP Icosidodecahdral hyperprism 3 3.4.4 4.4.5 3.5.3.5   2 2 1   5 20 12 2   4-pyr 0 34 124 150 60 40 60 24 0 0 0
  59 IPE Icosahedral hyperprism 2 3.4.4 {3,5}     5 1     6 20 2     5-pyr 0 22 70 72 24 40 30 0 0 0 0
  60 TIDDIP Truncated-dodecahedral hyperprism 3 3.4.4 3.10.10 4.4.10   1 1 2   4 20 2 12   {3,3} 0 34 154 240 120 40 90 0 0 0 24
  61 SRIDDIP Rhombicosidodecahedral hyperprism 4 3.4.4 {4,3} 4.4.5 3.4.5.4 1 2 1 1 5 20 30 12 2 4-pyr 0 64 244 300 120 40 180 24 0 0 0
  62 TIPE Truncated-icosahedral hyperprism 3 4.4.5 4.4.6 5.6.6   1 2 1   4 12 20 2   {3,3} 0 34 154 240 120 0 90 24 40 0 0
  63 GRIDDIP Truncated icosidodecahedral hyperprism 4 {4,3} 4.4.6 4.4.10 4.6.10 1 1 1 1 4 30 20 12 2 {3,3} 0 64 304 480 240 0 240 0 40 0 24
  64 SNIDDIP Snub-dodecahedral hyperprism 3 3.4.4 4.4.5 3.3.3.3.5   4 1 1   6 80 12 2   5-pyr 0 94 334 360 120 160 150 24 0 0 0