- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | ghopjak |
| Name | great demiprismated icosiheptaheptacontidipeton |
| Circumradius | sqrt(68/3) = 4.760952 |
| Face vector | 12960, 38880, 43200, 21600, 4662, 342 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o
| 3
x---x---x---x---o
3 3 3 3
x3x3x3x3o *c3o . . . . . . | 12960 | 1 1 2 2 | 1 2 2 2 2 4 1 1 | 2 2 4 1 1 4 1 1 2 2 | 4 1 1 2 2 2 2 1 | 2 2 1 1 ---------------+-------+-----------------------+-----------------------------------------+---------------------------------------------------+-----------------------------------+------------- x . . . . . | 2 | 6480 * * * | 1 2 2 0 0 0 0 0 | 2 2 4 1 1 0 0 0 0 0 | 4 1 1 2 2 0 0 0 | 2 2 1 0 . x . . . . | 2 | * 6480 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 4 1 1 0 0 | 4 1 1 0 0 2 2 0 | 2 2 0 1 . . x . . . | 2 | * * 12960 * | 0 1 0 1 0 2 1 0 | 1 0 2 1 0 2 1 0 1 2 | 2 1 0 1 2 1 2 1 | 1 2 1 1 . . . x . . | 2 | * * * 12960 | 0 0 1 0 1 2 0 1 | 0 1 2 0 1 2 0 1 2 1 | 2 0 1 2 1 2 1 1 | 2 1 1 1 ---------------+-------+-----------------------+-----------------------------------------+---------------------------------------------------+-----------------------------------+------------- x3x . . . . | 6 | 3 3 0 0 | 2160 * * * * * * * | 2 2 0 0 0 0 0 0 0 0 | 4 1 1 0 0 0 0 0 | 2 2 0 0 x . x . . . | 4 | 2 0 2 0 | * 6480 * * * * * * | 1 0 2 1 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 | 1 2 1 0 x . . x . . | 4 | 2 0 0 2 | * * 6480 * * * * * | 0 1 2 0 1 0 0 0 0 0 | 2 0 1 2 1 0 0 0 | 2 1 1 0 . x3x . . . | 6 | 0 3 3 0 | * * * 4320 * * * * | 1 0 0 0 0 2 1 0 0 0 | 2 1 0 0 0 1 2 0 | 1 2 0 1 . x . x . . | 4 | 0 2 0 2 | * * * * 6480 * * * | 0 1 0 0 0 2 0 1 0 0 | 2 0 1 0 0 2 1 0 | 2 1 0 1 . . x3x . . | 6 | 0 0 3 3 | * * * * * 8640 * * | 0 0 1 0 0 1 0 0 1 1 | 1 0 0 1 1 1 1 1 | 1 1 1 1 . . x . . *c3o | 3 | 0 0 3 0 | * * * * * * 4320 * | 0 0 0 1 0 0 1 0 0 2 | 0 1 0 0 2 0 2 1 | 0 2 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * * 4320 | 0 0 0 0 1 0 0 1 2 0 | 0 0 1 2 0 2 0 1 | 2 0 1 1 ---------------+-------+-----------------------+-----------------------------------------+---------------------------------------------------+-----------------------------------+------------- x3x3x . . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 1080 * * * * * * * * * | 2 1 0 0 0 0 0 0 | 1 2 0 0 x3x . x . . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 2160 * * * * * * * * | 2 0 1 0 0 0 0 0 | 2 1 0 0 x . x3x . . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 0 | * * 4320 * * * * * * * | 1 0 0 1 1 0 0 0 | 1 1 1 0 x . x . . *c3o ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 2 0 | * * * 2160 * * * * * * | 0 1 0 0 2 0 0 0 | 0 2 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 2160 * * * * * | 0 0 1 2 0 0 0 0 | 2 0 1 0 . x3x3x . . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 0 | * * * * * 2160 * * * * | 1 0 0 0 0 1 1 0 | 1 1 0 1 . x3x . . *c3o ♦ 12 | 0 6 12 0 | 0 0 0 4 0 0 4 0 | * * * * * * 1080 * * * | 0 1 0 0 0 0 2 0 | 0 2 0 1 . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 2160 * * | 0 0 1 0 0 2 0 0 | 2 0 0 1 . . x3x3o . ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 0 4 | * * * * * * * * 2160 * | 0 0 0 1 0 1 0 1 | 1 0 1 1 . . x3x . *c3o ♦ 12 | 0 0 12 6 | 0 0 0 0 0 4 4 0 | * * * * * * * * * 2160 | 0 0 0 0 1 0 1 1 | 0 1 1 1 ---------------+-------+-----------------------+-----------------------------------------+---------------------------------------------------+-----------------------------------+------------- x3x3x3x . . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 20 0 0 | 5 10 10 0 0 5 0 0 0 0 | 432 * * * * * * * | 1 1 0 0 x3x3x . . *c3o ♦ 60 | 30 30 60 0 | 10 30 0 20 0 0 20 0 | 5 0 0 10 0 0 5 0 0 0 | * 216 * * * * * * | 0 2 0 0 x3x . x3o . ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 0 6 | 0 3 0 0 3 0 0 3 0 0 | * * 720 * * * * * | 2 0 0 0 x . x3x3o . ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 0 8 | 0 0 4 0 4 0 0 0 2 0 | * * * 1080 * * * * | 1 0 1 0 x . x3x . *c3o ♦ 24 | 12 0 24 12 | 0 12 6 0 0 8 8 0 | 0 0 4 4 0 0 0 0 0 2 | * * * * 1080 * * * | 0 1 1 0 . x3x3x3o ♦ 60 | 0 30 30 60 | 0 0 0 10 30 20 0 20 | 0 0 0 0 0 5 0 10 5 0 | * * * * * 432 * * | 1 0 0 1 . x3x3x . *c3o ♦ 96 | 0 48 96 48 | 0 0 0 32 24 32 32 0 | 0 0 0 0 0 8 8 0 0 8 | * * * * * * 270 * | 0 1 0 1 . . x3x3o *c3o ♦ 30 | 0 0 30 30 | 0 0 0 0 0 20 10 10 | 0 0 0 0 0 0 0 0 5 5 | * * * * * * * 432 | 0 0 1 1 ---------------+-------+-----------------------+-----------------------------------------+---------------------------------------------------+-----------------------------------+------------- x3x3x3x3o . ♦ 360 | 180 180 180 360 | 60 90 180 60 180 120 0 120 | 15 60 60 0 60 30 0 60 30 0 | 6 0 20 15 0 6 0 0 | 72 * * * x3x3x3x . *c3o ♦ 960 | 480 480 960 480 | 160 480 240 320 240 320 320 0 | 80 80 160 160 0 80 80 0 0 80 | 16 16 0 0 40 0 10 0 | * 27 * * x . x3x3o *c3o ♦ 60 | 30 0 60 60 | 0 30 30 0 0 40 20 20 | 0 0 20 10 10 0 0 0 10 10 | 0 0 0 5 5 0 0 2 | * * 216 * . x3x3x3o *c3o ♦ 480 | 0 240 480 480 | 0 0 0 160 240 320 160 160 | 0 0 0 0 0 80 40 80 80 80 | 0 0 0 0 0 16 10 16 | * * * 27
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