penticantellated hexacross
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | tapox (old: stapox) |
| Name |
teriprismated hexeract, penticantellated hexacross |
| Circumradius | 2+sqrt(1/2) = 2.707107 |
| Coordinates | ((1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign |
| Face vector | 3840, 21120, 38720, 30240, 9528, 728 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3x3o3o4x . . . . . . | 3840 | 2 6 3 | 1 6 6 3 6 12 3 | 3 3 6 12 6 3 6 2 6 6 1 | 3 6 3 2 6 6 2 1 3 3 2 | 1 3 3 1 2 1 ------------+------+-----------------+-------------------------------------+------------------------------------------------------+-----------------------------------------------+--------------------- x . . . . . | 2 | 3840 * * | 1 3 3 0 0 0 0 | 3 3 3 6 3 0 0 0 0 0 0 | 3 6 3 1 3 3 1 0 0 0 0 | 1 3 3 1 1 0 . . x . . . | 2 | * 11520 * | 0 1 0 1 2 2 0 | 1 0 2 2 0 2 2 1 2 1 0 | 2 2 0 1 2 1 0 1 2 1 1 | 1 2 1 0 1 1 . . . . . x | 2 | * * 5760 | 0 0 2 0 0 4 2 | 0 1 0 4 4 0 2 0 2 4 1 | 0 2 2 0 2 4 2 0 1 2 2 | 0 1 2 1 2 1 ------------+------+-----------------+-------------------------------------+------------------------------------------------------+-----------------------------------------------+--------------------- x3o . . . . | 3 | 3 0 0 | 1280 * * * * * * | 3 3 0 0 0 0 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 x . x . . . | 4 | 2 2 0 | * 5760 * * * * * | 1 0 2 2 0 0 0 0 0 0 0 | 2 2 0 1 2 1 0 0 0 0 0 | 1 2 1 0 1 0 x . . . . x | 4 | 2 0 2 | * * 5760 * * * * | 0 1 0 2 2 0 0 0 0 0 0 | 0 2 2 0 1 2 1 0 0 0 0 | 0 1 2 1 1 0 . o3x . . . | 3 | 0 3 0 | * * * 3840 * * * | 1 0 0 0 0 2 2 0 0 0 0 | 2 2 0 0 0 0 0 1 2 1 0 | 1 2 1 0 0 1 . . x3o . . | 3 | 0 3 0 | * * * * 7680 * * | 0 0 1 0 0 1 0 1 1 0 0 | 1 0 0 1 1 0 0 1 1 0 1 | 1 1 0 0 1 1 . . x . . x | 4 | 0 2 2 | * * * * * 11520 * | 0 0 0 1 0 0 1 0 1 1 0 | 0 1 0 0 1 1 0 0 1 1 1 | 0 1 1 0 1 1 . . . . o4x | 4 | 0 0 4 | * * * * * * 2880 | 0 0 0 0 2 0 0 0 0 2 1 | 0 0 1 0 0 2 2 0 0 1 2 | 0 0 1 1 2 1 ------------+------+-----------------+-------------------------------------+------------------------------------------------------+-----------------------------------------------+--------------------- x3o3x . . . ♦ 12 | 12 12 0 | 4 6 0 4 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 0 3 | 2 0 3 0 0 0 0 | * 1920 * * * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 x . x3o . . ♦ 6 | 3 6 0 | 0 3 0 0 2 0 0 | * * 3840 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 | 1 1 0 0 1 0 x . x . . x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 0 | * * * 5760 * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0 x . . . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 0 2 | * * * * 2880 * * * * * * | 0 0 1 0 0 1 1 0 0 0 0 | 0 0 1 1 1 0 . o3x3o . . ♦ 6 | 0 12 0 | 0 0 0 4 4 0 0 | * * * * * 1920 * * * * * | 1 0 0 0 0 0 0 1 1 0 0 | 1 1 0 0 0 1 . o3x . . x ♦ 6 | 0 6 3 | 0 0 0 2 0 3 0 | * * * * * * 3840 * * * * | 0 1 0 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1 . . x3o3o . ♦ 4 | 0 6 0 | 0 0 0 0 4 0 0 | * * * * * * * 1920 * * * | 0 0 0 1 0 0 0 1 0 0 1 | 1 0 0 0 1 1 . . x3o . x ♦ 6 | 0 6 3 | 0 0 0 0 2 3 0 | * * * * * * * * 3840 * * | 0 0 0 0 1 0 0 0 1 0 1 | 0 1 0 0 1 1 . . x . o4x ♦ 8 | 0 4 8 | 0 0 0 0 0 4 2 | * * * * * * * * * 2880 * | 0 0 0 0 0 1 0 0 0 1 1 | 0 0 1 0 1 1 . . . o3o4x ♦ 8 | 0 0 12 | 0 0 0 0 0 0 6 | * * * * * * * * * * 480 | 0 0 0 0 0 0 2 0 0 0 2 | 0 0 0 1 2 1 ------------+------+-----------------+-------------------------------------+------------------------------------------------------+-----------------------------------------------+--------------------- x3o3x3o . . ♦ 30 | 30 60 0 | 10 30 0 20 20 0 0 | 5 0 10 0 0 5 0 0 0 0 0 | 384 * * * * * * * * * * | 1 1 0 0 0 0 x3o3x . . x ♦ 24 | 24 24 12 | 8 12 12 8 0 12 0 | 2 4 0 6 0 0 4 0 0 0 0 | * 960 * * * * * * * * * | 0 1 1 0 0 0 x3o . . o4x ♦ 12 | 12 0 12 | 4 0 12 0 0 0 3 | 0 4 0 0 3 0 0 0 0 0 0 | * * 960 * * * * * * * * | 0 0 1 1 0 0 x . x3o3o . ♦ 8 | 4 12 0 | 0 6 0 0 8 0 0 | 0 0 4 0 0 0 0 2 0 0 0 | * * * 960 * * * * * * * | 1 0 0 0 1 0 x . x3o . x ♦ 12 | 6 12 6 | 0 6 3 0 4 6 0 | 0 0 2 3 0 0 0 0 2 0 0 | * * * * 1920 * * * * * * | 0 1 0 0 1 0 x . x . o4x ♦ 16 | 8 8 16 | 0 4 8 0 0 8 4 | 0 0 0 4 2 0 0 0 0 2 0 | * * * * * 1440 * * * * * | 0 0 1 0 1 0 x . . o3o4x ♦ 16 | 8 0 24 | 0 0 12 0 0 0 12 | 0 0 0 0 6 0 0 0 0 0 2 | * * * * * * 480 * * * * | 0 0 0 1 1 0 . o3x3o3o . ♦ 10 | 0 30 0 | 0 0 0 10 20 0 0 | 0 0 0 0 0 5 0 5 0 0 0 | * * * * * * * 384 * * * | 1 0 0 0 0 1 . o3x3o . x ♦ 12 | 0 24 6 | 0 0 0 8 8 12 0 | 0 0 0 0 0 2 4 0 4 0 0 | * * * * * * * * 960 * * | 0 1 0 0 0 1 . o3x . o4x ♦ 12 | 0 12 12 | 0 0 0 4 0 12 3 | 0 0 0 0 0 0 4 0 0 3 0 | * * * * * * * * * 960 * | 0 0 1 0 0 1 . . x3o3o4x ♦ 64 | 0 96 96 | 0 0 0 0 64 96 48 | 0 0 0 0 0 0 0 16 32 24 8 | * * * * * * * * * * 120 | 0 0 0 0 1 1 ------------+------+-----------------+-------------------------------------+------------------------------------------------------+-----------------------------------------------+--------------------- x3o3x3o3o . ♦ 60 | 60 180 0 | 20 90 0 60 120 0 0 | 15 0 60 0 0 30 0 30 0 0 0 | 6 0 0 15 0 0 0 6 0 0 0 | 64 * * * * * x3o3x3o . x ♦ 60 | 60 120 30 | 20 60 30 40 40 60 0 | 10 10 20 30 0 10 20 0 20 0 0 | 2 5 0 0 10 0 0 0 5 0 0 | * 192 * * * * x3o3x . o4x ♦ 48 | 48 48 48 | 16 24 48 16 0 48 12 | 4 16 0 24 12 0 16 0 0 12 0 | 0 4 4 0 0 6 0 0 0 4 0 | * * 240 * * * x3o . o3o4x ♦ 24 | 24 0 36 | 8 0 36 0 0 0 18 | 0 12 0 0 18 0 0 0 0 0 3 | 0 0 6 0 0 0 3 0 0 0 0 | * * * 160 * * x . x3o3o4x ♦ 128 | 64 192 192 | 0 96 96 0 128 192 96 | 0 0 64 96 48 0 0 32 64 48 16 | 0 0 0 16 32 24 8 0 0 0 2 | * * * * 60 * . o3x3o3o4x ♦ 320 | 0 960 480 | 0 0 0 320 640 960 240 | 0 0 0 0 0 160 320 160 320 240 40 | 0 0 0 0 0 0 0 32 80 80 10 | * * * * * 12 snubbed forms: x3o3x3o3o4s
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