(heptacontidiprismatotruncated pentacontitetrapeton)
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | prom (old: kaptom) |
| Name |
prismatorhombated pentacontitetrapeton, (heptacontidiprismatotruncated pentacontitetrapeton) |
| Circumradius | sqrt(21) = 4.582576 |
| Face vector | 25960, 103680, 140400, 79920, 18558, 1278 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3o3x3x *c3x . . . . . . | 25920 | 2 4 2 | 4 4 1 4 2 2 4 1 | 2 4 4 4 2 2 4 2 1 2 2 | 2 2 2 2 4 4 2 1 1 | 1 2 2 2 ------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+-------------- x . . . . . & | 2 | 25920 * * | 2 2 1 2 0 0 0 0 | 1 2 4 2 1 1 2 2 0 0 0 | 1 2 1 2 2 4 1 1 0 | 1 1 2 2 . x . . . . & | 2 | * 51840 * | 1 1 0 0 1 1 1 0 | 1 2 1 1 1 0 1 0 1 1 1 | 2 1 1 1 2 1 1 0 1 | 1 2 1 1 . . . . . x | 2 | * * 25920 | 0 0 0 2 0 0 2 1 | 0 0 0 2 0 2 2 1 0 2 1 | 0 0 2 0 2 2 2 1 1 | 0 2 2 1 ------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+-------------- x3x . . . . & | 6 | 3 3 0 | 17280 * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 x . . x . . & | 4 | 2 2 0 | * 25920 * * * * * * | 0 1 1 0 1 0 1 0 0 0 0 | 1 1 0 1 1 1 1 0 0 | 1 1 1 1 x . . . x . | 4 | 4 0 0 | * * 6480 * * * * * | 0 0 4 0 0 0 0 2 0 0 0 | 0 2 0 2 0 4 0 1 0 | 1 0 2 2 x . . . . x & | 4 | 2 0 2 | * * * 25920 * * * * | 0 0 0 1 0 1 1 1 0 0 0 | 0 0 1 0 1 2 1 1 0 | 0 1 2 1 . x3o . . . & | 3 | 0 3 0 | * * * * 17280 * * * | 1 0 0 0 1 0 0 0 1 1 0 | 2 1 1 0 0 0 1 0 1 | 1 2 1 0 . x . x . . | 4 | 0 4 0 | * * * * * 12960 * * | 0 2 0 0 0 0 0 0 1 0 1 | 2 0 0 1 2 0 0 0 1 | 1 2 0 1 . x . . . x & | 4 | 0 2 2 | * * * * * * 25920 * | 0 0 0 1 0 0 1 0 0 1 1 | 0 0 1 0 2 1 1 0 1 | 0 2 1 1 . . o . . *c3x | 3 | 0 0 3 | * * * * * * * 8640 | 0 0 0 0 0 2 0 0 0 2 0 | 0 0 2 0 0 0 2 1 1 | 0 2 2 0 ------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+-------------- x3x3o . . . & ♦ 12 | 6 12 0 | 4 0 0 0 4 0 0 0 | 4320 * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 x3x . x . . & ♦ 12 | 6 12 0 | 2 3 0 0 0 3 0 0 | * 8640 * * * * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 x3x . . x . & ♦ 12 | 12 6 0 | 2 3 3 0 0 0 0 0 | * * 8640 * * * * * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 x3x . . . x & ♦ 12 | 6 6 6 | 2 0 0 3 0 0 3 0 | * * * 8640 * * * * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 x . o3x . . & ♦ 6 | 3 6 0 | 0 3 0 0 2 0 0 0 | * * * * 8640 * * * * * * | 1 1 0 0 0 0 1 0 0 | 1 1 1 0 x . o . . *c3x & ♦ 6 | 3 0 6 | 0 0 0 3 0 0 0 2 | * * * * * 8640 * * * * * | 0 0 1 0 0 0 1 1 0 | 0 1 2 0 x . . x . x & ♦ 8 | 4 4 4 | 0 2 0 2 0 0 2 0 | * * * * * * 12960 * * * * | 0 0 0 0 1 1 1 0 0 | 0 1 1 1 x . . . x x ♦ 8 | 8 0 4 | 0 0 2 4 0 0 0 0 | * * * * * * * 6480 * * * | 0 0 0 0 0 2 0 1 0 | 0 0 2 1 . x3o3x . . ♦ 12 | 0 24 0 | 0 0 0 0 8 6 0 0 | * * * * * * * * 2160 * * | 2 0 0 0 0 0 0 0 1 | 1 2 0 0 . x3o . . *c3x & ♦ 12 | 0 12 12 | 0 0 0 0 4 0 6 4 | * * * * * * * * * 4320 * | 0 0 1 0 0 0 1 0 1 | 0 2 1 0 . x . x . x ♦ 8 | 0 8 4 | 0 0 0 0 0 2 4 0 | * * * * * * * * * * 6480 | 0 0 0 0 2 0 0 0 1 | 0 2 0 1 ------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+-------------- x3x3o3x . . & ♦ 60 | 30 120 0 | 20 30 0 0 40 30 0 0 | 5 10 0 0 10 0 0 0 5 0 0 | 864 * * * * * * * * | 1 1 0 0 x3x3o . x . & ♦ 24 | 24 24 0 | 8 12 6 0 8 0 0 0 | 2 0 4 0 4 0 0 0 0 0 0 | * 2160 * * * * * * * | 1 0 1 0 x3x3o . . *c3x & ♦ 60 | 30 60 60 | 20 0 0 30 20 0 30 20 | 5 0 0 10 0 10 0 0 0 5 0 | * * 864 * * * * * * | 0 1 1 0 x3x . x3x . ♦ 36 | 36 36 0 | 12 18 9 0 0 9 0 0 | 0 6 6 0 0 0 0 0 0 0 0 | * * * 1440 * * * * * | 1 0 0 1 x3x . x . x & ♦ 24 | 12 24 12 | 4 6 0 6 0 6 12 0 | 0 2 0 2 0 0 3 0 0 0 3 | * * * * 4320 * * * * | 0 1 0 1 x3x . . x x & ♦ 24 | 24 12 12 | 4 6 6 12 0 0 6 0 | 0 0 2 2 0 0 3 3 0 0 0 | * * * * * 4320 * * * | 0 0 1 1 x . o3x . *c3x & ♦ 24 | 12 24 24 | 0 12 0 12 8 0 12 8 | 0 0 0 0 4 4 6 0 0 2 0 | * * * * * * 2160 * * | 0 1 0 1 x . o . x *c3x ♦ 12 | 12 0 12 | 0 0 3 12 0 0 0 4 | 0 0 0 0 0 4 0 3 0 0 0 | * * * * * * * 2160 * | 0 0 2 0 . x3o3x . *c3x ♦ 96 | 0 192 96 | 0 0 0 0 64 48 96 32 | 0 0 0 0 0 0 0 0 8 16 24 | * * * * * * * * 270 | 0 2 0 0 ------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+-------------- x3x3o3x3x . ♦ 360 | 360 720 0 | 240 360 90 0 240 180 0 0 | 60 120 120 0 120 0 0 0 30 0 0 | 12 30 0 20 0 0 0 0 0 | 72 * * * x3x3o3x . *c3x & ♦ 960 | 480 1920 960 | 320 480 0 480 640 480 960 320 | 80 160 0 160 160 160 240 0 80 160 240 | 16 0 16 0 80 0 40 0 10 | * 54 * * x3x3o . x *c3x & ♦ 120 | 120 120 120 | 40 60 30 120 40 0 60 40 | 10 0 20 20 20 40 30 30 0 10 0 | 0 5 2 0 0 10 5 10 0 | * * 432 * x3x . x3x x ♦ 72 | 72 72 36 | 24 36 18 36 0 18 36 0 | 0 12 12 12 0 0 18 9 0 0 9 | 0 0 0 2 6 6 0 0 0 | * * * 720
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