penticantellated hexeract
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | topag (old: stopag) |
| Name |
teriprismated hexacontitetrapeton, penticantellated hexeract |
| Circumradius | sqrt[(10+5 sqrt(2))/2] = 2.921564 |
| Coordinates | ((1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign |
| Face vector | 3840, 21120, 39360, 31680, 10328, 728 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o3x3o4x . . . . . . | 3840 | 3 6 2 | 3 12 6 6 3 6 1 | 1 6 6 6 6 12 3 2 3 6 3 | 2 2 3 6 3 3 6 6 1 2 3 | 1 2 1 3 3 1 ------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+--------------------- x . . . . . | 2 | 5760 * * | 2 4 2 0 0 0 0 | 1 4 4 2 2 4 1 0 0 0 0 | 2 2 2 4 2 1 2 2 0 0 0 | 1 2 1 2 1 0 . . . x . . | 2 | * 11520 * | 0 2 0 2 1 1 0 | 0 1 0 2 2 2 0 1 2 2 1 | 1 0 1 1 0 2 2 2 1 1 2 | 1 1 0 1 2 1 . . . . . x | 2 | * * 3840 | 0 0 3 0 0 3 1 | 0 0 3 0 0 6 3 0 0 3 3 | 0 1 0 3 3 0 3 6 0 1 3 | 0 1 1 3 3 1 ------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+--------------------- x3o . . . . | 3 | 3 0 0 | 3840 * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 0 | 1 2 1 1 0 0 x . . x . . | 4 | 2 2 0 | * 11520 * * * * * | 0 1 0 1 1 1 0 0 0 0 0 | 1 0 1 1 0 1 1 1 0 0 0 | 1 1 0 1 1 0 x . . . . x | 4 | 2 0 2 | * * 5760 * * * * | 0 0 2 0 0 2 1 0 0 0 0 | 0 1 0 2 2 0 1 2 0 0 0 | 0 1 1 2 1 0 . . o3x . . | 3 | 0 3 0 | * * * 7680 * * * | 0 0 0 1 0 0 0 1 1 1 0 | 1 0 0 0 0 1 1 0 1 1 1 | 1 1 0 0 1 1 . . . x3o . | 3 | 0 3 0 | * * * * 3840 * * | 0 0 0 0 2 0 0 0 2 0 1 | 0 0 1 0 0 2 0 2 1 0 2 | 1 0 0 1 2 1 . . . x . x | 4 | 0 2 2 | * * * * * 5760 * | 0 0 0 0 0 2 0 0 0 2 1 | 0 0 0 1 0 0 2 2 0 1 2 | 0 1 0 1 2 1 . . . . o4x | 4 | 0 0 4 | * * * * * * 960 | 0 0 0 0 0 0 3 0 0 0 3 | 0 0 0 0 3 0 0 6 0 0 3 | 0 0 1 3 3 1 ------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+--------------------- x3o3o . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 0 | 960 * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x3o . x . . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 0 | * 3840 * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0 x3o . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * * 3840 * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0 x . o3x . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 0 | * * * 3840 * * * * * * * | 1 0 0 0 0 1 1 0 0 0 0 | 1 1 0 0 1 0 x . . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 2 0 0 | * * * * 3840 * * * * * * | 0 0 1 0 0 1 0 1 0 0 0 | 1 0 0 1 1 0 x . . x . x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 0 | * * * * * 5760 * * * * * | 0 0 0 1 0 0 1 1 0 0 0 | 0 1 0 1 1 0 x . . . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 0 2 | * * * * * * 1440 * * * * | 0 0 0 0 2 0 0 2 0 0 0 | 0 0 1 2 1 0 . o3o3x . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 0 | * * * * * * * 1920 * * * | 1 0 0 0 0 0 0 0 1 1 0 | 1 1 0 0 0 1 . . o3x3o . ♦ 6 | 0 12 0 | 0 0 0 4 4 0 0 | * * * * * * * * 1920 * * | 0 0 0 0 0 1 0 0 1 0 1 | 1 0 0 0 1 1 . . o3x . x ♦ 6 | 0 6 3 | 0 0 0 2 0 3 0 | * * * * * * * * * 3840 * | 0 0 0 0 0 0 1 0 0 1 1 | 0 1 0 0 1 1 . . . x3o4x ♦ 24 | 0 24 24 | 0 0 0 0 8 12 6 | * * * * * * * * * * 480 | 0 0 0 0 0 0 0 2 0 0 2 | 0 0 0 1 2 1 ------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+--------------------- x3o3o3x . . ♦ 20 | 30 30 0 | 20 30 0 20 0 0 0 | 5 10 0 10 0 0 0 5 0 0 0 | 384 * * * * * * * * * * | 1 1 0 0 0 0 x3o3o . . x ♦ 8 | 12 0 4 | 8 0 6 0 0 0 0 | 2 0 4 0 0 0 0 0 0 0 0 | * 960 * * * * * * * * * | 0 1 1 0 0 0 x3o . x3o . ♦ 9 | 9 9 0 | 3 9 0 0 3 0 0 | 0 3 0 0 3 0 0 0 0 0 0 | * * 1280 * * * * * * * * | 1 0 0 1 0 0 x3o . x . x ♦ 12 | 12 6 6 | 4 6 6 0 0 3 0 | 0 2 2 0 0 3 0 0 0 0 0 | * * * 1920 * * * * * * * | 0 1 0 1 0 0 x3o . . o4x ♦ 12 | 12 0 12 | 4 0 12 0 0 0 3 | 0 0 4 0 0 0 3 0 0 0 0 | * * * * 960 * * * * * * | 0 0 1 1 0 0 x . o3x3o . ♦ 12 | 6 24 0 | 0 12 0 8 8 0 0 | 0 0 0 4 4 0 0 0 2 0 0 | * * * * * 960 * * * * * | 1 0 0 0 1 0 x . o3x . x ♦ 12 | 6 12 6 | 0 6 3 4 0 6 0 | 0 0 0 2 0 3 0 0 0 2 0 | * * * * * * 1920 * * * * | 0 1 0 0 1 0 x . . x3o4x ♦ 48 | 24 48 48 | 0 24 24 0 16 24 12 | 0 0 0 0 8 12 6 0 0 0 2 | * * * * * * * 480 * * * | 0 0 0 1 1 0 . o3o3x3o . ♦ 10 | 0 30 0 | 0 0 0 20 10 0 0 | 0 0 0 0 0 0 0 5 5 0 0 | * * * * * * * * 384 * * | 1 0 0 0 0 1 . o3o3x . x ♦ 8 | 0 12 4 | 0 0 0 8 0 6 0 | 0 0 0 0 0 0 0 2 0 4 0 | * * * * * * * * * 960 * | 0 1 0 0 0 1 . . o3x3o4x ♦ 96 | 0 192 96 | 0 0 0 64 64 96 24 | 0 0 0 0 0 0 0 0 16 32 8 | * * * * * * * * * * 120 | 0 0 0 0 1 1 ------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+--------------------- x3o3o3x3o . ♦ 60 | 90 180 0 | 60 180 0 120 60 0 0 | 15 60 0 60 60 0 0 30 30 0 0 | 6 0 20 0 0 15 0 0 6 0 0 | 64 * * * * * x3o3o3x . x ♦ 40 | 60 60 20 | 40 60 30 40 0 30 0 | 10 20 20 20 0 30 0 10 0 20 0 | 2 5 0 10 0 0 10 0 0 5 0 | * 192 * * * * x3o3o . o4x ♦ 16 | 24 0 16 | 16 0 24 0 0 0 4 | 4 0 16 0 0 0 6 0 0 0 0 | 0 4 0 0 4 0 0 0 0 0 0 | * * 240 * * * x3o . x3o4x ♦ 72 | 72 72 72 | 24 72 72 0 24 36 18 | 0 24 24 0 24 36 18 0 0 0 3 | 0 0 8 12 6 0 0 3 0 0 0 | * * * 160 * * x . o3x3o4x ♦ 192 | 96 384 192 | 0 192 96 128 128 192 48 | 0 0 0 64 64 96 24 0 32 64 16 | 0 0 0 0 0 16 32 8 0 0 2 | * * * * 60 * . o3o3x3o4x ♦ 320 | 0 960 320 | 0 0 0 640 320 480 80 | 0 0 0 0 0 0 0 160 160 320 40 | 0 0 0 0 0 0 0 0 32 80 10 | * * * * * 12 snubbed forms: x3o3o3x3o4s
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