runcicantellated hexeract
- general polytopal classes:
- Wythoffian polypeta
links
| Acronym | prox |
| Name |
prismatorhombated hexeract, runcicantellated hexeract |
| Circumradius | sqrt([16+7 sqrt(2)]/2) = 3.598576 |
| Coordinates | ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign |
| Face vector | 3840, 13440, 17600, 11200, 3708, 508 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3x3x3o4x o3o3o3o3o4o | 3840 | 3 2 2 | 3 6 6 1 2 1 | 1 6 6 3 6 3 1 | 2 2 3 6 3 3 | 1 2 1 3 ------------+------+----------------+------------------------------+---------------------------------+------------------------+-------------- . . x . . . | 2 | 5760 * * | 2 2 2 0 0 0 | 1 4 4 1 2 1 0 | 2 2 2 4 2 1 | 1 2 1 2 . . . x . . | 2 | * 3840 * | 0 3 0 1 1 0 | 0 3 0 3 3 0 1 | 1 0 3 3 0 3 | 1 1 0 3 . . . . . x | 2 | * * 3840 | 0 0 3 0 1 1 | 0 0 3 0 3 3 1 | 0 1 0 3 3 3 | 0 1 1 3 ------------+------+----------------+------------------------------+---------------------------------+------------------------+-------------- . o3x . . . | 3 | 3 0 0 | 3840 * * * * * | 1 2 2 0 0 0 0 | 2 2 1 2 1 0 | 1 2 1 1 . . x3x . . | 6 | 3 3 0 | * 3840 * * * * | 0 2 0 1 1 0 0 | 1 0 2 2 0 1 | 1 1 0 2 . . x . . x | 4 | 2 0 2 | * * 5760 * * * | 0 0 2 0 1 1 0 | 0 1 0 2 2 1 | 0 1 1 2 . . . x3o . | 3 | 0 3 0 | * * * 1280 * * | 0 0 0 3 0 0 1 | 0 0 3 0 0 3 | 1 0 0 3 . . . x . x | 4 | 0 2 2 | * * * * 1920 * | 0 0 0 0 3 0 1 | 0 0 0 3 0 3 | 0 1 0 3 . . . . o4x | 4 | 0 0 4 | * * * * * 960 | 0 0 0 0 0 3 1 | 0 0 0 0 3 3 | 0 0 1 3 ------------+------+----------------+------------------------------+---------------------------------+------------------------+-------------- o3o3x . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 960 * * * * * * | 2 2 0 0 0 0 | 1 2 1 0 . o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | * 1920 * * * * * | 1 0 1 1 0 0 | 1 1 0 1 . o3x . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 3840 * * * * | 0 1 0 1 1 0 | 0 1 1 1 . . x3x3o . ♦ 12 | 6 12 0 | 0 4 0 4 0 0 | * * * 960 * * * | 0 0 2 0 0 1 | 1 0 0 2 . . x3x . x ♦ 12 | 6 6 6 | 0 2 3 0 3 0 | * * * * 1920 * * | 0 0 0 2 0 1 | 0 1 0 2 . . x . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * * 1440 * | 0 0 0 0 2 1 | 0 0 1 2 . . . x3o4x ♦ 24 | 0 24 24 | 0 0 0 8 12 6 | * * * * * * 160 | 0 0 0 0 0 3 | 0 0 0 3 ------------+------+----------------+------------------------------+---------------------------------+------------------------+-------------- o3o3x3x . . ♦ 20 | 30 10 0 | 20 10 0 0 0 0 | 5 5 0 0 0 0 0 | 384 * * * * * | 1 1 0 0 o3o3x . . x ♦ 8 | 12 0 4 | 8 0 6 0 0 0 | 2 0 4 0 0 0 0 | * 960 * * * * | 0 1 1 0 . o3x3x3o . ♦ 30 | 30 30 0 | 10 20 0 10 0 0 | 0 5 0 5 0 0 0 | * * 384 * * * | 1 0 0 1 . o3x3x . x ♦ 24 | 24 12 12 | 8 8 12 0 6 0 | 0 2 4 0 4 0 0 | * * * 960 * * | 0 1 0 1 . o3x . o4x ♦ 12 | 12 0 12 | 4 0 12 0 0 3 | 0 0 4 0 0 3 0 | * * * * 960 * | 0 0 1 1 . . x3x3o4x ♦ 192 | 96 192 192 | 0 64 96 64 96 48 | 0 0 0 16 32 24 8 | * * * * * 60 | 0 0 0 2 ------------+------+----------------+------------------------------+---------------------------------+------------------------+-------------- o3o3x3x3o . ♦ 60 | 90 60 0 | 60 60 0 20 0 0 | 15 30 0 15 0 0 0 | 6 0 6 0 0 0 | 64 * * * o3o3x3x . x ♦ 40 | 60 20 20 | 40 20 30 0 10 0 | 10 10 20 0 10 0 0 | 2 5 0 5 0 0 | * 192 * * o3o3x . o4x ♦ 16 | 24 0 16 | 16 0 24 0 0 4 | 4 0 16 0 0 6 0 | 0 4 0 0 4 0 | * * 240 * . o3x3x3o4x ♦ 960 | 960 960 960 | 320 640 960 320 480 240 | 0 160 320 160 320 240 40 | 0 0 32 80 80 10 | * * * 12 snubbed forms: o3o3x3x3o4s
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