steriruncicantellated hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | coprix |
| Name |
(small) celliprismatorhombated hexeract, steriruncicantellated hexeract |
| Circumradius | sqrt[(26+9 sqrt(2))/2] = 4.400450 |
| Coordinates | ((1+3 sqrt(2))/2, (1+3 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign |
| Face vector | 11520, 40320, 52800, 31680, 8348, 668 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3x3x3o4x . . . . . . | 11520 | 2 1 2 2 | 1 2 4 4 2 2 1 2 1 | 1 2 2 4 4 2 4 2 1 2 1 1 | 2 2 1 2 1 2 4 2 2 1 | 1 2 1 1 2 ------------+-------+------------------------+------------------------------------------------+----------------------------------------------------------+------------------------------------------+------------------ . x . . . . | 2 | 11520 * * * | 1 1 2 2 0 0 0 0 0 | 1 2 2 2 2 1 2 1 0 0 0 0 | 2 2 1 2 1 1 2 1 1 0 | 1 2 1 1 1 . . x . . . | 2 | * 5760 * * | 0 2 0 0 2 2 0 0 0 | 1 0 0 4 4 0 0 0 1 2 1 0 | 2 2 0 0 0 2 4 2 0 1 | 1 2 1 0 2 . . . x . . | 2 | * * 11520 * | 0 0 2 0 1 0 1 1 0 | 0 1 0 2 0 2 2 0 1 1 0 1 | 1 0 1 1 0 2 2 0 2 1 | 1 1 0 1 2 . . . . . x | 2 | * * * 11520 | 0 0 0 2 0 1 0 1 1 | 0 0 1 0 2 0 2 2 0 1 1 1 | 0 1 0 1 1 0 2 2 2 1 | 0 1 1 1 2 ------------+-------+------------------------+------------------------------------------------+----------------------------------------------------------+------------------------------------------+------------------ o3x . . . . | 3 | 3 0 0 0 | 3840 * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 | 1 2 1 1 0 . x3x . . . | 6 | 3 3 0 0 | * 3840 * * * * * * * | 1 0 0 2 2 0 0 0 0 0 0 0 | 2 2 0 0 0 1 2 1 0 0 | 1 2 1 0 1 . x . x . . | 4 | 2 0 2 0 | * * 11520 * * * * * * | 0 1 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 0 1 1 0 1 0 | 1 1 0 1 1 . x . . . x | 4 | 2 0 0 2 | * * * 11520 * * * * * | 0 0 1 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0 1 1 1 0 | 0 1 1 1 1 . . x3x . . | 6 | 0 3 3 0 | * * * * 3840 * * * * | 0 0 0 2 0 0 0 0 1 1 0 0 | 1 0 0 0 0 2 2 0 0 1 | 1 1 0 0 2 . . x . . x | 4 | 0 2 0 2 | * * * * * 5760 * * * | 0 0 0 0 2 0 0 0 0 1 1 0 | 0 1 0 0 0 0 2 2 0 1 | 0 1 1 0 2 . . . x3o . | 3 | 0 0 3 0 | * * * * * * 3840 * * | 0 0 0 0 0 2 0 0 1 0 0 1 | 0 0 1 0 0 2 0 0 2 1 | 1 0 0 1 2 . . . x . x | 4 | 0 0 2 2 | * * * * * * * 5760 * | 0 0 0 0 0 0 2 0 0 1 0 1 | 0 0 0 1 0 0 2 0 2 1 | 0 1 0 1 2 . . . . o4x | 4 | 0 0 0 4 | * * * * * * * * 2880 | 0 0 0 0 0 0 0 2 0 0 1 1 | 0 0 0 0 1 0 0 2 2 1 | 0 0 1 1 2 ------------+-------+------------------------+------------------------------------------------+----------------------------------------------------------+------------------------------------------+------------------ o3x3x . . . ♦ 12 | 12 6 0 0 | 4 4 0 0 0 0 0 0 0 | 960 * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 o3x . x . . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 0 | * 3840 * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 | 1 1 0 1 0 o3x . . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 0 0 | * * 3840 * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 | 0 1 1 1 0 . x3x3x . . ♦ 24 | 12 12 12 0 | 0 4 6 0 4 0 0 0 0 | * * * 1920 * * * * * * * * | 1 0 0 0 0 1 0 1 0 0 | 1 1 0 0 1 . x3x . . x ♦ 12 | 6 6 0 6 | 0 2 0 3 0 3 0 0 0 | * * * * 3840 * * * * * * * | 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 1 . x . x3o . ♦ 6 | 3 0 6 0 | 0 0 3 0 0 0 2 0 0 | * * * * * 3840 * * * * * * | 0 0 1 0 0 1 0 0 1 0 | 1 0 0 1 1 . x . x . x ♦ 8 | 4 0 4 4 | 0 0 2 2 0 0 0 2 0 | * * * * * * 5760 * * * * * | 0 0 0 1 0 0 1 0 1 0 | 0 1 0 1 1 . x . . o4x ♦ 8 | 4 0 0 8 | 0 0 0 4 0 0 0 0 2 | * * * * * * * 2880 * * * * | 0 0 0 0 1 0 0 1 1 0 | 0 0 1 1 1 . . x3x3o . ♦ 12 | 0 6 12 0 | 0 0 0 0 4 0 4 0 0 | * * * * * * * * 960 * * * | 0 0 0 0 0 2 0 0 0 1 | 1 0 0 0 2 . . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 0 2 3 0 3 0 | * * * * * * * * * 1920 * * | 0 0 0 0 0 0 2 0 0 1 | 0 1 0 0 2 . . x . o4x ♦ 8 | 0 4 0 8 | 0 0 0 0 0 4 0 0 2 | * * * * * * * * * * 1440 * | 0 0 0 0 0 0 0 2 0 1 | 0 0 1 0 2 . . . x3o4x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * * 480 | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 1 2 ------------+-------+------------------------+------------------------------------------------+----------------------------------------------------------+------------------------------------------+------------------ o3x3x3x . . ♦ 60 | 60 30 30 0 | 20 20 30 0 10 0 0 0 0 | 5 10 0 5 0 0 0 0 0 0 0 0 | 384 * * * * * * * * * | 1 1 0 0 0 o3x3x . . x ♦ 24 | 24 12 0 12 | 8 8 0 12 0 6 0 0 0 | 2 0 4 0 4 0 0 0 0 0 0 0 | * 960 * * * * * * * * | 0 1 1 0 0 o3x . x3o . ♦ 9 | 9 0 9 0 | 3 0 9 0 0 0 3 0 0 | 0 3 0 0 0 3 0 0 0 0 0 0 | * * 1280 * * * * * * * | 1 0 0 1 0 o3x . x . x ♦ 12 | 12 0 6 6 | 4 0 6 6 0 0 0 3 0 | 0 2 2 0 0 0 3 0 0 0 0 0 | * * * 1920 * * * * * * | 0 1 0 1 0 o3x . . o4x ♦ 12 | 12 0 0 12 | 4 0 0 12 0 0 0 0 3 | 0 0 4 0 0 0 0 3 0 0 0 0 | * * * * 960 * * * * * | 0 0 1 1 0 . x3x3x3o . ♦ 60 | 30 30 60 0 | 0 10 30 0 20 0 20 0 0 | 0 0 0 5 0 10 0 0 5 0 0 0 | * * * * * 384 * * * * | 1 0 0 0 1 . x3x3x . x ♦ 48 | 24 24 24 24 | 0 8 12 12 8 12 0 12 0 | 0 0 0 2 4 0 6 0 0 4 0 0 | * * * * * * 960 * * * | 0 1 0 0 1 . x3x . o4x ♦ 24 | 12 12 0 24 | 0 4 0 12 0 12 0 0 6 | 0 0 0 0 4 0 0 3 0 0 3 0 | * * * * * * * 960 * * | 0 0 1 0 1 . x . x3o4x ♦ 48 | 24 0 48 48 | 0 0 24 24 0 0 16 24 12 | 0 0 0 0 0 8 12 6 0 0 0 2 | * * * * * * * * 480 * | 0 0 0 1 1 . . x3x3o4x ♦ 192 | 0 96 192 192 | 0 0 0 0 64 96 64 96 48 | 0 0 0 0 0 0 0 0 16 32 24 8 | * * * * * * * * * 60 | 0 0 0 0 2 ------------+-------+------------------------+------------------------------------------------+----------------------------------------------------------+------------------------------------------+------------------ o3x3x3x3o . ♦ 180 | 180 90 180 0 | 60 60 180 0 60 0 60 0 0 | 15 60 0 30 0 60 0 0 15 0 0 0 | 6 0 20 0 0 6 0 0 0 0 | 64 * * * * o3x3x3x . x ♦ 120 | 120 60 60 60 | 40 40 60 60 20 30 0 30 0 | 10 20 20 10 20 0 30 0 0 10 0 0 | 2 5 0 10 0 0 5 0 0 0 | * 192 * * * o3x3x . o4x ♦ 48 | 48 24 0 48 | 16 16 0 48 0 24 0 0 12 | 4 0 16 0 16 0 0 12 0 0 6 0 | 0 4 0 0 4 0 0 4 0 0 | * * 240 * * o3x . x3o4x ♦ 72 | 72 0 72 72 | 24 0 72 72 0 0 24 36 18 | 0 24 24 0 0 24 36 18 0 0 0 3 | 0 0 8 12 6 0 0 0 3 0 | * * * 160 * . x3x3x3o4x ♦ 1920 | 960 960 1920 1920 | 0 320 960 960 640 960 640 960 480 | 0 0 0 160 320 320 480 240 160 320 240 80 | 0 0 0 0 0 32 80 80 40 10 | * * * * 12
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