runcitruncated pentacontitetrapeton,
(heptacontidiprismatorhombated pentacontitetrapeton)
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | patom (old: kaprom) |
| Name |
prismatotruncated pentacontitetrapeton, runcitruncated pentacontitetrapeton, (heptacontidiprismatorhombated pentacontitetrapeton) |
| Circumradius | sqrt(15) = 3.872983 |
| Face vector | 12960, 58320, 86400, 54000, 14238, 1278 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3x3o3x *c3x o3o3o3o3o *c3o | 12960 | 4 4 1 | 2 8 4 4 4 4 | 4 4 2 4 4 8 4 1 4 | 2 4 4 1 4 4 4 1 | 1 2 4 1 ------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+-------------- x . . . . . & | 2 | 25920 * * | 1 2 2 1 0 0 | 2 3 1 1 2 2 2 0 0 | 1 3 2 1 3 1 2 0 | 1 1 3 1 . . x . . . | 2 | * 25920 * | 0 2 0 0 2 1 | 2 0 0 2 1 2 0 1 2 | 2 2 2 0 0 2 1 1 | 1 2 2 0 . . . . . x | 2 | * * 6480 | 0 0 0 4 0 4 | 0 0 2 0 0 8 4 0 4 | 0 0 4 0 4 4 4 1 | 0 2 4 1 ------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+-------------- x3o . . . . & | 3 | 3 0 0 | 8640 * * * * * | 2 2 1 0 0 0 0 0 0 | 1 2 2 1 2 0 0 0 | 1 1 2 1 x . x . . . & | 4 | 2 2 0 | * 25920 * * * * | 1 0 0 1 1 1 0 0 0 | 1 2 1 0 0 1 1 0 | 1 1 2 0 x . . . x . | 4 | 4 0 0 | * * 12960 * * * | 0 2 0 0 1 0 1 0 0 | 0 2 0 1 2 0 1 0 | 1 0 2 1 x . . . . x & | 4 | 2 0 2 | * * * 12960 * * | 0 0 1 0 0 2 2 0 0 | 0 0 2 0 3 1 2 0 | 0 1 3 1 . o3x . . . & | 3 | 0 3 0 | * * * * 17280 * | 1 0 0 1 0 0 0 1 1 | 2 1 1 0 0 1 0 1 | 1 2 1 0 . . x . . *c3x | 6 | 0 3 3 | * * * * * 8640 | 0 0 0 0 0 2 0 0 2 | 0 0 2 0 0 2 1 1 | 0 2 2 0 ------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+-------------- x3o3x . . . & ♦ 12 | 12 12 0 | 4 6 0 0 4 0 | 4320 * * * * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 x3o . . x . & ♦ 6 | 9 0 0 | 2 0 3 0 0 0 | * 8640 * * * * * * * | 0 1 0 1 1 0 0 0 | 1 0 1 1 x3o . . . x & ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * * 4320 * * * * * * | 0 0 2 0 2 0 0 0 | 0 1 2 1 x . x3o . . & ♦ 6 | 3 6 0 | 0 3 0 0 2 0 | * * * 8640 * * * * * | 1 1 0 0 0 1 0 0 | 1 1 1 0 x . x . x . ♦ 8 | 8 4 0 | 0 4 2 0 0 0 | * * * * 6480 * * * * | 0 2 0 0 0 0 1 0 | 1 0 2 0 x . x . . *c3x & ♦ 12 | 6 6 6 | 0 3 0 3 0 2 | * * * * * 8640 * * * | 0 0 1 0 0 1 1 0 | 0 1 2 0 x . . . x x ♦ 8 | 8 0 4 | 0 0 2 4 0 0 | * * * * * * 6480 * * | 0 0 0 0 2 0 1 0 | 0 0 2 1 . o3x3o . . ♦ 6 | 0 12 0 | 0 0 0 0 8 0 | * * * * * * * 2160 * | 2 0 0 0 0 0 0 1 | 1 2 0 0 . o3x . . *c3x & ♦ 12 | 0 12 6 | 0 0 0 0 4 4 | * * * * * * * * 4320 | 0 0 1 0 0 1 0 1 | 0 2 1 0 ------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+-------------- x3o3x3o . . & ♦ 30 | 30 60 0 | 10 30 0 0 40 0 | 5 0 0 10 0 0 0 5 0 | 864 * * * * * * * | 1 1 0 0 x3o3x . x . & ♦ 24 | 36 24 0 | 8 24 12 0 8 0 | 2 4 0 4 6 0 0 0 0 | * 2160 * * * * * * | 1 0 1 0 x3o3x . . *c3x & ♦ 60 | 60 60 30 | 20 30 0 30 20 20 | 5 0 10 0 0 10 0 0 5 | * * 864 * * * * * | 0 1 1 0 x3o . o3x . ♦ 9 | 18 0 0 | 6 0 9 0 0 0 | 0 6 0 0 0 0 0 0 0 | * * * 1440 * * * * | 1 0 0 1 x3o . . x x & ♦ 12 | 18 0 6 | 4 0 6 9 0 0 | 0 2 2 0 0 0 3 0 0 | * * * * 4320 * * * | 0 0 1 1 x . x3o . *c3x & ♦ 24 | 12 24 12 | 0 12 0 6 8 8 | 0 0 0 4 0 4 0 0 2 | * * * * * 2160 * * | 0 1 1 0 x . x . x *c3x ♦ 24 | 24 12 12 | 0 12 6 12 0 4 | 0 0 0 0 3 4 3 0 0 | * * * * * * 2160 * | 0 0 2 0 . o3x3o . *c3x ♦ 48 | 0 96 24 | 0 0 0 0 64 32 | 0 0 0 0 0 0 0 8 16 | * * * * * * * 270 | 0 2 0 0 ------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+-------------- x3o3x3o3x . ♦ 180 | 360 360 0 | 120 360 180 0 240 0 | 60 120 0 120 90 0 0 30 0 | 12 30 0 20 0 0 0 0 | 72 * * * x3o3x3o . *c3x & ♦ 480 | 480 960 240 | 160 480 0 240 640 320 | 80 0 80 160 0 160 0 80 160 | 16 0 16 0 0 40 0 10 | * 54 * * x3o3x . x *c3x & ♦ 120 | 180 120 60 | 40 120 60 90 40 40 | 10 20 20 20 30 40 30 0 10 | 0 5 2 0 10 5 10 0 | * * 432 * x3o . o3x x ♦ 18 | 36 0 9 | 12 0 18 18 0 0 | 0 12 6 0 0 0 9 0 0 | 0 0 0 2 6 0 0 0 | * * * 720
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