(prismatorectified pentacontitetrapeton,
small rhombated pentacontitetraheptacontidipeton,
small heptacontidirhombated pentacontitetrapeton)
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | sabrim (old: pirm, sirmak, skorm) |
| Name |
small birhombated pentacontitetrapeton, (prismatorectified pentacontitetrapeton, small rhombated pentacontitetraheptacontidipeton, small heptacontidirhombated pentacontitetrapeton) |
| Circumradius | 3 |
| Face vector | 6480, 38880, 62640, 38880, 9198, 558 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3x3o3x *c3o . . . . . . | 6480 | 2 8 2 | 1 8 4 4 4 8 4 1 | 4 2 4 8 4 2 2 4 2 4 2 4 | 2 4 2 1 4 2 4 2 1 2 2 | 2 1 2 2 1 ---------------+------+-----------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------+----------------- x . . . . . | 2 | 6480 * * | 1 4 2 0 0 0 0 0 | 4 2 2 4 2 1 0 0 0 0 0 0 | 2 4 2 1 2 1 2 0 0 0 0 | 2 1 2 1 0 . . x . . . | 2 | * 25920 * | 0 1 0 1 1 1 1 0 | 1 0 1 1 1 0 1 1 1 1 1 1 | 1 1 1 0 1 1 1 1 1 1 1 | 1 1 1 1 1 . . . . x . | 2 | * * 6480 | 0 0 2 0 0 4 0 1 | 0 1 0 4 0 2 0 2 0 4 0 2 | 0 2 0 1 4 0 2 2 0 1 2 | 2 0 1 2 1 ---------------+------+-----------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------+----------------- x3o . . . . | 3 | 3 0 0 | 2160 * * * * * * * | 4 2 0 0 0 0 0 0 0 0 0 0 | 2 4 2 1 0 0 0 0 0 0 0 | 2 1 2 0 0 x . x . . . | 4 | 2 2 0 | * 12960 * * * * * * | 1 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 0 | 1 1 1 1 0 x . . . x . | 4 | 2 0 2 | * * 6480 * * * * * | 0 1 0 2 0 1 0 0 0 0 0 0 | 0 2 0 1 2 0 1 0 0 0 0 | 2 0 1 1 0 . o3x . . . | 3 | 0 3 0 | * * * 8640 * * * * | 1 0 0 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x3o . . | 3 | 0 3 0 | * * * * 8640 * * * | 0 0 1 0 0 0 1 0 0 1 1 0 | 1 0 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . x . x . | 4 | 0 2 2 | * * * * * 12960 * * | 0 0 0 1 0 0 0 1 0 1 0 1 | 0 1 0 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . x . . *c3o | 3 | 0 3 0 | * * * * * * 8640 * | 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 1 0 0 1 1 0 1 1 1 | 0 1 1 1 1 . . . o3x . | 3 | 0 0 3 | * * * * * * * 2160 | 0 0 0 0 0 2 0 0 0 4 0 0 | 0 0 0 1 4 0 0 2 0 0 2 | 2 0 0 2 1 ---------------+------+-----------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------+----------------- x3o3x . . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 0 | 2160 * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 0 | * 2160 * * * * * * * * * * | 0 2 0 1 0 0 0 0 0 0 0 | 2 0 1 0 0 x . x3o . . ♦ 6 | 3 6 0 | 0 3 0 0 2 0 0 0 | * * 4320 * * * * * * * * * | 1 0 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 0 2 0 0 | * * * 6480 * * * * * * * * | 0 1 0 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . x . . *c3o ♦ 6 | 3 6 0 | 0 3 0 0 0 0 2 0 | * * * * 4320 * * * * * * * | 0 0 1 0 0 1 1 0 0 0 0 | 0 1 1 1 0 x . . o3x . ♦ 6 | 3 0 6 | 0 0 3 0 0 0 0 2 | * * * * * 2160 * * * * * * | 0 0 0 1 2 0 0 0 0 0 0 | 2 0 0 1 0 . o3x3o . . ♦ 6 | 0 12 0 | 0 0 0 4 4 0 0 0 | * * * * * * 2160 * * * * * | 1 0 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . o3x . x . ♦ 6 | 0 6 3 | 0 0 0 2 0 3 0 0 | * * * * * * * 4320 * * * * | 0 1 0 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . o3x . . *c3o ♦ 6 | 0 12 0 | 0 0 0 4 0 0 4 0 | * * * * * * * * 2160 * * * | 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o3x . ♦ 12 | 0 12 12 | 0 0 0 0 4 6 0 4 | * * * * * * * * * 2160 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x3o . *c3o ♦ 6 | 0 12 0 | 0 0 0 0 4 0 4 0 | * * * * * * * * * * 2160 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . x . x *c3o ♦ 6 | 0 6 3 | 0 0 0 0 0 3 2 0 | * * * * * * * * * * * 4320 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+------+-----------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------+----------------- x3o3x3o . . ♦ 30 | 30 60 0 | 10 30 0 20 20 0 0 0 | 5 0 10 0 0 0 5 0 0 0 0 0 | 432 * * * * * * * * * * | 1 1 0 0 0 x3o3x . x . ♦ 24 | 24 24 12 | 8 12 12 8 0 12 0 0 | 2 4 0 6 0 0 0 4 0 0 0 0 | * 1080 * * * * * * * * * | 1 0 1 0 0 x3o3x . . *c3o ♦ 30 | 30 60 0 | 10 30 0 20 0 0 20 0 | 5 0 0 0 10 0 0 0 5 0 0 0 | * * 432 * * * * * * * * | 0 1 1 0 0 x3o . o3x . ♦ 9 | 9 0 9 | 3 0 9 0 0 0 0 3 | 0 3 0 0 0 3 0 0 0 0 0 0 | * * * 720 * * * * * * * | 2 0 0 0 0 x . x3o3x . ♦ 24 | 12 24 24 | 0 12 12 0 8 12 0 8 | 0 0 4 6 0 4 0 0 0 2 0 0 | * * * * 1080 * * * * * * | 1 0 0 1 0 x . x3o . *c3o ♦ 12 | 6 24 0 | 0 12 0 0 8 0 8 0 | 0 0 4 0 4 0 0 0 0 0 2 0 | * * * * * 1080 * * * * * | 0 1 0 1 0 x . x . x *c3o ♦ 12 | 6 12 6 | 0 6 3 0 0 6 4 0 | 0 0 0 3 2 0 0 0 0 0 0 2 | * * * * * * 2160 * * * * | 0 0 1 1 0 . o3x3o3x . ♦ 30 | 0 60 30 | 0 0 0 20 20 30 0 10 | 0 0 0 0 0 0 5 10 0 5 0 0 | * * * * * * * 432 * * * | 1 0 0 0 1 . o3x3o . *c3o ♦ 24 | 0 96 0 | 0 0 0 32 32 0 32 0 | 0 0 0 0 0 0 8 0 8 0 8 0 | * * * * * * * * 270 * * | 0 1 0 0 1 . o3x . x *c3o ♦ 12 | 0 24 6 | 0 0 0 8 0 12 8 0 | 0 0 0 0 0 0 0 4 2 0 0 4 | * * * * * * * * * 1080 * | 0 0 1 0 1 . . x3o3x *c3o ♦ 30 | 0 60 30 | 0 0 0 0 20 30 20 10 | 0 0 0 0 0 0 0 0 0 5 5 10 | * * * * * * * * * * 432 | 0 0 0 1 1 ---------------+------+-----------------+-------------------------------------------+-------------------------------------------------------------+--------------------------------------------------+----------------- x3o3x3o3x . ♦ 180 | 180 360 180 | 60 180 180 120 120 180 0 60 | 30 60 60 90 0 60 30 60 0 30 0 0 | 6 15 0 20 15 0 0 6 0 0 0 | 72 * * * * x3o3x3o . *c3o ♦ 240 | 240 960 0 | 80 480 0 320 320 0 320 0 | 80 0 160 0 160 0 80 0 80 0 80 0 | 16 0 16 0 0 40 0 0 10 0 0 | * 27 * * * x3o3x . x *c3o ♦ 60 | 60 120 30 | 20 60 30 40 0 60 40 0 | 10 10 0 30 20 0 0 20 10 0 0 20 | 0 5 2 0 0 0 10 0 0 5 0 | * * 216 * * x . x3o3x *c3o ♦ 60 | 30 120 60 | 0 60 30 0 40 60 40 20 | 0 0 20 30 20 10 0 0 0 10 10 20 | 0 0 0 0 5 5 10 0 0 0 2 | * * * 216 * . o3x3o3x *c3o ♦ 240 | 0 960 240 | 0 0 0 320 320 480 320 80 | 0 0 0 0 0 0 80 160 80 80 80 160 | 0 0 0 0 0 0 0 16 10 40 16 | * * * * 27
or . . . . . . | 6480 | 4 8 | 2 16 4 8 4 | 8 4 8 8 8 2 4 | 4 8 4 1 4 4 1 | 2 2 4 ------------------+------+-------------+----------------------------+------------------------------------+--------------------------------+---------- x . . . . . & | 2 | 12960 * | 1 4 2 0 0 | 4 3 2 4 2 0 0 | 2 6 2 1 1 2 0 | 2 1 3 . . x . . . | 2 | * 25920 | 0 2 0 2 1 | 2 0 2 1 2 1 2 | 2 2 2 0 2 1 1 | 1 2 2 ------------------+------+-------------+----------------------------+------------------------------------+--------------------------------+---------- x3o . . . . & | 3 | 3 0 | 4320 * * * * | 4 2 0 0 0 0 0 | 2 4 2 1 0 0 0 | 2 1 2 x . x . . . & | 4 | 2 2 | * 25920 * * * | 1 0 1 1 1 0 0 | 1 1 1 0 1 1 0 | 1 1 2 x . . . x . | 4 | 4 0 | * * 6480 * * | 0 2 0 2 0 0 0 | 0 4 0 1 0 1 0 | 2 0 2 . o3x . . . & | 3 | 0 3 | * * * 17280 * | 1 0 1 0 0 1 1 | 2 1 1 0 1 0 1 | 1 2 1 . . x . . *c3o | 3 | 0 3 | * * * * 8640 | 0 0 0 0 2 0 2 | 0 0 2 0 2 1 1 | 0 2 2 ------------------+------+-------------+----------------------------+------------------------------------+--------------------------------+---------- x3o3x . . . & ♦ 12 | 12 12 | 4 6 0 4 0 | 4320 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 x3o . . x . & ♦ 6 | 9 0 | 2 0 3 0 0 | * 4320 * * * * * | 0 2 0 1 0 0 0 | 2 0 1 x . x3o . . & ♦ 6 | 3 6 | 0 3 0 2 0 | * * 8640 * * * * | 1 1 0 0 1 0 0 | 1 1 1 x . x . x . ♦ 8 | 8 4 | 0 4 2 0 0 | * * * 6480 * * * | 0 2 0 0 0 1 0 | 1 0 2 x . x . . *c3o & ♦ 6 | 3 6 | 0 3 0 0 2 | * * * * 8640 * * | 0 0 1 0 1 1 0 | 0 1 2 . o3x3o . . ♦ 6 | 0 12 | 0 0 0 8 0 | * * * * * 2160 * | 2 0 0 0 0 0 1 | 1 2 0 . o3x . . *c3o & ♦ 6 | 0 12 | 0 0 0 4 4 | * * * * * * 4320 | 0 0 1 0 1 0 1 | 0 2 1 ------------------+------+-------------+----------------------------+------------------------------------+--------------------------------+---------- x3o3x3o . . & ♦ 30 | 30 60 | 10 30 0 40 0 | 5 0 10 0 0 5 0 | 864 * * * * * * | 1 1 0 x3o3x . x . & ♦ 24 | 36 24 | 8 24 12 8 0 | 2 4 4 6 0 0 0 | * 2160 * * * * * | 1 0 1 x3o3x . . *c3o & ♦ 30 | 30 60 | 10 30 0 20 20 | 5 0 0 0 10 0 5 | * * 864 * * * * | 0 1 1 x3o . o3x . ♦ 9 | 18 0 | 6 0 9 0 0 | 0 6 0 0 0 0 0 | * * * 720 * * * | 2 0 0 x . x3o . *c3o & ♦ 12 | 6 24 | 0 12 0 8 8 | 0 0 4 0 4 0 2 | * * * * 2160 * * | 0 1 1 x . x . x *c3o ♦ 12 | 12 12 | 0 12 3 0 4 | 0 0 0 3 4 0 0 | * * * * * 2160 * | 0 0 2 . o3x3o . *c3o ♦ 24 | 0 96 | 0 0 0 64 32 | 0 0 0 0 0 8 16 | * * * * * * 270 | 0 2 0 ------------------+------+-------------+----------------------------+------------------------------------+--------------------------------+---------- x3o3x3o3x . ♦ 180 | 360 360 | 120 360 180 240 0 | 60 120 120 90 0 30 0 | 12 30 0 20 0 0 0 | 72 * * x3o3x3o . *c3o & ♦ 240 | 240 960 | 80 480 0 640 320 | 80 0 160 0 160 80 160 | 16 0 16 0 40 0 10 | * 54 * x3o3x . x *c3o & ♦ 60 | 90 120 | 20 120 30 40 40 | 10 10 20 30 40 0 10 | 0 5 2 0 5 10 0 | * * 432
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