pentellated hepteract
- general polytopal classes:
- Wythoffian polyexa
links
| Acronym | stesa |
| Name |
small terated hepteract, pentellated hepteract |
| Circumradius | 11/4+sqrt(2) = 2.040640 |
| Coordinates | (1+sqrt(2), 1+sqrt(2), 1, 1, 1, 1, 1)/sqrt(2) & all permutations, all changes of sign |
| Face vector | 2688, 20160, 56000, 77280, 55944, 19292, 2102, 2686 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3o3o3o3o4x . . . . . . . | 2688 | 10 5 | 5 20 40 10 | 10 20 20 60 60 10 | 10 30 30 10 40 60 40 5 | 5 20 30 20 2 10 20 20 10 1 | 1 5 10 10 5 2 --------------+------+------------+-----------------------+----------------------------------+------------------------------------------+----------------------------------------------+----------------------- . x . . . . . | 2 | 13440 * | 1 4 4 0 | 4 4 6 12 6 0 | 6 12 6 4 12 12 4 0 | 4 12 12 4 1 4 6 4 1 0 | 1 4 6 4 1 1 . . . . . . x | 2 | * 6720 | 0 0 8 4 | 0 4 0 12 24 6 | 0 6 12 0 8 24 24 4 | 0 4 12 12 0 2 8 12 8 1 | 0 1 4 6 4 2 --------------+------+------------+-----------------------+----------------------------------+------------------------------------------+----------------------------------------------+----------------------- o3x . . . . . | 3 | 3 0 | 4480 * * * | 4 4 0 0 0 0 | 6 12 6 0 0 0 0 0 | 4 12 12 4 0 0 0 0 0 0 | 1 4 6 4 1 0 . x3o . . . . | 3 | 3 0 | * 17920 * * | 1 0 3 3 0 0 | 3 3 0 3 6 3 0 0 | 3 6 3 0 1 3 3 1 0 0 | 1 3 3 1 0 1 . x . . . . x | 4 | 2 2 | * * 26880 * | 0 1 0 3 3 0 | 0 3 3 0 3 6 3 0 | 0 3 6 3 0 1 3 3 1 0 | 0 1 3 3 1 1 . . . . . o4x | 4 | 0 4 | * * * 6720 | 0 0 0 0 6 3 | 0 0 3 0 0 6 12 3 | 0 0 3 6 0 0 2 6 6 1 | 0 0 1 3 3 2 --------------+------+------------+-----------------------+----------------------------------+------------------------------------------+----------------------------------------------+----------------------- o3x3o . . . . ♦ 6 | 12 0 | 4 4 0 0 | 4480 * * * * * | 3 3 0 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 0 | 1 3 3 1 0 0 o3x . . . . x ♦ 6 | 6 3 | 2 0 3 0 | * 8960 * * * * | 0 3 3 0 0 0 0 0 | 0 3 6 3 0 0 0 0 0 0 | 0 1 3 3 1 0 . x3o3o . . . ♦ 4 | 6 0 | 0 4 0 0 | * * 13440 * * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 1 2 1 0 0 0 | 1 2 1 0 0 1 . x3o . . . x ♦ 6 | 6 3 | 0 2 3 0 | * * * 26880 * * | 0 1 0 0 2 2 0 0 | 0 2 2 0 0 1 2 1 0 0 | 0 1 2 1 0 1 . x . . . o4x ♦ 8 | 4 8 | 0 0 4 2 | * * * * 20160 * | 0 0 1 0 0 2 2 0 | 0 0 2 2 0 0 1 2 1 0 | 0 0 1 2 1 1 . . . . o3o4x ♦ 8 | 0 12 | 0 0 0 6 | * * * * * 3360 | 0 0 0 0 0 0 4 2 | 0 0 0 2 0 0 0 2 4 1 | 0 0 0 1 2 2 --------------+------+------------+-----------------------+----------------------------------+------------------------------------------+----------------------------------------------+----------------------- o3x3o3o . . . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 0 | 2688 * * * * * * * | 2 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 o3x3o . . . x ♦ 12 | 24 6 | 8 8 12 0 | 2 4 0 4 0 0 | * 6720 * * * * * * | 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0 o3x . . . o4x ♦ 12 | 12 12 | 4 0 12 3 | 0 4 0 0 3 0 | * * 6720 * * * * * | 0 0 2 2 0 0 0 0 0 0 | 0 0 1 2 1 0 . x3o3o3o . . ♦ 5 | 10 0 | 0 10 0 0 | 0 0 5 0 0 0 | * * * 5376 * * * * | 1 0 0 0 1 1 0 0 0 0 | 1 1 0 0 0 1 . x3o3o . . x ♦ 8 | 12 4 | 0 8 6 0 | 0 0 2 4 0 0 | * * * * 13440 * * * | 0 1 0 0 0 1 1 0 0 0 | 0 1 1 0 0 1 . x3o . . o4x ♦ 12 | 12 12 | 0 4 12 3 | 0 0 0 4 3 0 | * * * * * 13440 * * | 0 0 1 0 0 0 1 1 0 0 | 0 0 1 1 0 1 . x . . o3o4x ♦ 16 | 8 24 | 0 0 12 12 | 0 0 0 0 6 2 | * * * * * * 6720 * | 0 0 0 1 0 0 0 1 1 0 | 0 0 0 1 1 1 . . . o3o3o4x ♦ 16 | 0 32 | 0 0 0 24 | 0 0 0 0 0 8 | * * * * * * * 840 | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 0 1 2 --------------+------+------------+-----------------------+----------------------------------+------------------------------------------+----------------------------------------------+----------------------- o3x3o3o3o . . ♦ 15 | 60 0 | 20 60 0 0 | 15 0 30 0 0 0 | 6 0 0 6 0 0 0 0 | 896 * * * * * * * * * | 1 1 0 0 0 0 o3x3o3o . . x ♦ 20 | 60 10 | 20 40 30 0 | 10 10 10 20 0 0 | 2 5 0 0 5 0 0 0 | * 2688 * * * * * * * * | 0 1 1 0 0 0 o3x3o . . o4x ♦ 24 | 48 24 | 16 16 48 6 | 4 16 0 16 12 0 | 0 4 4 0 0 4 0 0 | * * 3360 * * * * * * * | 0 0 1 1 0 0 o3x . . o3o4x ♦ 24 | 24 36 | 8 0 36 18 | 0 12 0 0 18 3 | 0 0 6 0 0 0 3 0 | * * * 2240 * * * * * * | 0 0 0 1 1 0 . x3o3o3o3o . ♦ 6 | 15 0 | 0 20 0 0 | 0 0 15 0 0 0 | 0 0 0 6 0 0 0 0 | * * * * 896 * * * * * | 1 0 0 0 0 1 . x3o3o3o . x ♦ 10 | 20 5 | 0 20 10 0 | 0 0 10 10 0 0 | 0 0 0 2 5 0 0 0 | * * * * * 2688 * * * * | 0 1 0 0 0 1 . x3o3o . o4x ♦ 16 | 24 16 | 0 16 24 4 | 0 0 4 16 6 0 | 0 0 0 0 4 4 0 0 | * * * * * * 3360 * * * | 0 0 1 0 0 1 . x3o . o3o4x ♦ 24 | 24 36 | 0 8 36 18 | 0 0 0 12 18 3 | 0 0 0 0 0 6 3 0 | * * * * * * * 2240 * * | 0 0 0 1 0 1 . x . o3o3o4x ♦ 32 | 16 64 | 0 0 32 48 | 0 0 0 0 24 16 | 0 0 0 0 0 0 8 2 | * * * * * * * * 840 * | 0 0 0 0 1 1 . . o3o3o3o4x ♦ 32 | 0 80 | 0 0 0 80 | 0 0 0 0 0 40 | 0 0 0 0 0 0 0 10 | * * * * * * * * * 84 | 0 0 0 0 0 2 --------------+------+------------+-----------------------+----------------------------------+------------------------------------------+----------------------------------------------+----------------------- o3x3o3o3o3o . ♦ 21 | 105 0 | 35 140 0 0 | 35 0 105 0 0 0 | 21 0 0 42 0 0 0 0 | 7 0 0 0 7 0 0 0 0 0 | 128 * * * * * o3x3o3o3o . x ♦ 30 | 120 15 | 40 120 60 0 | 30 20 60 60 0 0 | 12 15 0 12 30 0 0 0 | 2 6 0 0 0 6 0 0 0 0 | * 448 * * * * o3x3o3o . o4x ♦ 40 | 120 40 | 40 80 120 10 | 20 40 20 80 30 0 | 4 20 10 0 20 20 0 0 | 0 4 5 0 0 0 5 0 0 0 | * * 672 * * * o3x3o . o3o4x ♦ 48 | 96 72 | 32 32 144 36 | 8 48 0 48 72 6 | 0 12 24 0 0 24 12 0 | 0 0 6 4 0 0 0 4 0 0 | * * * 560 * * o3x . o3o3o4x ♦ 48 | 48 96 | 16 0 96 72 | 0 32 0 0 72 24 | 0 0 24 0 0 0 24 3 | 0 0 0 8 0 0 0 0 3 0 | * * * * 280 * . x3o3o3o3o4x ♦ 384 | 960 960 | 0 1280 1920 960 | 0 0 960 1920 1440 480 | 0 0 0 384 960 960 480 120 | 0 0 0 0 64 192 240 160 60 12 | * * * * * 14
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