pentitruncated hexacross
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | tacox |
| Name |
tericellated hexeract, pentitruncated hexacross |
| Circumradius | sqrt[16+6 sqrt(2)]/2 = 2.474130 |
| Coordinates | ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign |
| Face vector | 1920, 8640, 15680, 13920, 5688, 728 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3o3o3o4x . . . . . . | 1920 | 1 4 4 | 4 4 6 12 6 | 6 12 6 4 12 12 4 | 4 12 12 4 1 4 6 4 1 | 1 4 6 4 1 1 ------------+------+---------------+--------------------------+----------------------------------+-------------------------------------+--------------------- x . . . . . | 2 | 960 * * | 4 4 0 0 0 | 6 12 6 0 0 0 0 | 4 12 12 4 0 0 0 0 0 | 1 4 6 4 1 0 . x . . . . | 2 | * 3840 * | 1 0 3 3 0 | 3 3 0 3 6 3 0 | 3 6 3 0 1 3 3 1 0 | 1 3 3 1 0 1 . . . . . x | 2 | * * 3840 | 0 1 0 3 3 | 0 3 3 0 3 6 3 | 0 3 6 3 0 1 3 3 1 | 0 1 3 3 1 1 ------------+------+---------------+--------------------------+----------------------------------+-------------------------------------+--------------------- x3x . . . . | 6 | 3 3 0 | 1280 * * * * | 3 3 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 | 1 3 3 1 0 0 x . . . . x | 4 | 2 0 2 | * 1920 * * * | 0 3 3 0 0 0 0 | 0 3 6 3 0 0 0 0 0 | 0 1 3 3 1 0 . x3o . . . | 3 | 0 3 0 | * * 3840 * * | 1 0 0 2 2 0 0 | 2 2 0 0 1 2 1 0 0 | 1 2 1 0 0 1 . x . . . x | 4 | 0 2 2 | * * * 5760 * | 0 1 0 0 2 2 0 | 0 2 2 0 0 1 2 1 0 | 0 1 2 1 0 1 . . . . o4x | 4 | 0 0 4 | * * * * 2880 | 0 0 1 0 0 2 2 | 0 0 2 2 0 0 1 2 1 | 0 0 1 2 1 1 ------------+------+---------------+--------------------------+----------------------------------+-------------------------------------+--------------------- x3x3o . . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 960 * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x3x . . . x ♦ 12 | 6 6 6 | 2 3 0 3 0 | * 1920 * * * * * | 0 2 2 0 0 0 0 0 0 | 0 1 2 1 0 0 x . o4x ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 1440 * * * * | 0 0 2 2 0 0 0 0 0 | 0 0 1 2 1 0 . x3o3o . . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 1920 * * * | 1 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x3o . . x ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * * 3840 * * | 0 1 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . . o4x ♦ 8 | 0 4 8 | 0 0 0 4 2 | * * * * * 2880 * | 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1 . . . o3o4x ♦ 8 | 0 0 12 | 0 0 0 0 6 | * * * * * * 960 | 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ------------+------+---------------+--------------------------+----------------------------------+-------------------------------------+--------------------- x3x3o3o . . ♦ 20 | 10 30 0 | 10 0 20 0 0 | 5 0 0 5 0 0 0 | 384 * * * * * * * * | 1 1 0 0 0 0 x3x3o . . x ♦ 24 | 12 24 12 | 8 6 8 12 0 | 2 4 0 0 4 0 0 | * 960 * * * * * * * | 0 1 1 0 0 0 x3x . . o4x ♦ 24 | 12 12 24 | 4 12 0 12 6 | 0 4 3 0 0 3 0 | * * 960 * * * * * * | 0 0 1 1 0 0 x . . o3o4x ♦ 16 | 8 0 24 | 0 12 0 0 12 | 0 0 6 0 0 0 2 | * * * 480 * * * * * | 0 0 0 1 1 0 . x3o3o3o . ♦ 5 | 0 10 0 | 0 0 10 0 0 | 0 0 0 5 0 0 0 | * * * * 384 * * * * | 1 0 0 0 0 1 . x3o3o . x ♦ 8 | 0 12 4 | 0 0 8 6 0 | 0 0 0 2 4 0 0 | * * * * * 960 * * * | 0 1 0 0 0 1 . x3o . o4x ♦ 12 | 0 12 12 | 0 0 4 12 3 | 0 0 0 0 4 3 0 | * * * * * * 960 * * | 0 0 1 0 0 1 . x . o3o4x ♦ 16 | 0 8 24 | 0 0 0 12 12 | 0 0 0 0 0 6 2 | * * * * * * * 480 * | 0 0 0 1 0 1 . . o3o3o4x ♦ 16 | 0 0 32 | 0 0 0 0 24 | 0 0 0 0 0 0 8 | * * * * * * * * 120 | 0 0 0 0 1 1 ------------+------+---------------+--------------------------+----------------------------------+-------------------------------------+--------------------- x3x3o3o3o . ♦ 30 | 15 60 0 | 20 0 60 0 0 | 15 0 0 30 0 0 0 | 6 0 0 0 6 0 0 0 0 | 64 * * * * * x3x3o3o . x ♦ 40 | 20 60 20 | 20 10 40 30 0 | 10 10 0 10 20 0 0 | 2 5 0 0 0 5 0 0 0 | * 192 * * * * x3x3o . o4x ♦ 48 | 24 48 48 | 16 24 16 48 12 | 4 16 6 0 16 12 0 | 0 4 4 0 0 0 4 0 0 | * * 240 * * * x3x . o3o4x ♦ 48 | 24 24 72 | 8 36 0 36 36 | 0 12 18 0 0 18 6 | 0 0 6 3 0 0 0 3 0 | * * * 160 * * x . o3o3o4x ♦ 32 | 16 0 64 | 0 32 0 0 48 | 0 0 24 0 0 0 16 | 0 0 0 8 0 0 0 0 2 | * * * * 60 * . x3o3o3o4x ♦ 160 | 0 320 320 | 0 0 320 480 240 | 0 0 0 160 320 240 80 | 0 0 0 0 32 80 80 40 10 | * * * * * 12 snubbed forms: x3x3o3o3o4s
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