cantellated demihepteract
- general polytopal classes:
- Wythoffian polyexa
links
| Acronym | sirhesa |
| Name |
small rhombated hemihepteract, cantellated demihepteract |
| Circumradius | sqrt(39/8) = 2.207940 |
| Coordinates | (3/sqrt(8), 3/sqrt(8), 3/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all even permutations, all even changes of sign |
| Face vector | 2240, 16800, 31360, 25200, 10360, 2100, 142 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o *b3x3o3o3o . . . . . . . | 2240 | 3 12 | 3 12 12 18 | 1 12 18 4 18 12 | 4 18 12 6 12 3 | 6 12 3 4 3 | 4 3 1 -----------------+------+------------+----------------------+------------------------------+------------------------------+--------------------+--------- x . . . . . . | 2 | 3360 * | 2 4 0 0 | 1 8 6 0 0 0 | 4 12 4 0 0 0 | 6 8 1 0 0 | 4 2 0 . . . x . . . | 2 | * 13440 | 0 1 2 3 | 0 2 3 1 6 3 | 1 6 3 3 6 1 | 3 6 1 3 2 | 3 2 1 -----------------+------+------------+----------------------+------------------------------+------------------------------+--------------------+--------- x3o . . . . . | 3 | 3 0 | 2240 * * * | 1 4 0 0 0 0 | 4 6 0 0 0 0 | 6 4 0 0 0 | 4 1 0 x . . x . . . | 4 | 2 2 | * 6720 * * | 0 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0 . o . *b3x . . . | 3 | 0 3 | * * 8960 * | 0 1 0 1 3 0 | 1 3 0 3 3 0 | 3 3 0 3 1 | 3 1 1 . . . x3o . . | 3 | 0 3 | * * * 13440 | 0 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 -----------------+------+------------+----------------------+------------------------------+------------------------------+--------------------+--------- x3o3o . . . . ♦ 4 | 6 0 | 4 0 0 0 | 560 * * * * * | 4 0 0 0 0 0 | 6 0 0 0 0 | 4 0 0 x3o . *b3x . . . ♦ 12 | 12 12 | 4 6 4 0 | * 2240 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . . x3o . . ♦ 6 | 3 6 | 0 3 0 2 | * * 6720 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . o3o *b3x . . . ♦ 4 | 0 6 | 0 0 4 0 | * * * 2240 * * | 1 0 0 3 0 0 | 3 0 0 3 0 | 3 0 1 . o . *b3x3o . . ♦ 6 | 0 12 | 0 0 4 4 | * * * * 6720 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o3o . ♦ 4 | 0 6 | 0 0 0 4 | * * * * * 6720 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 -----------------+------+------------+----------------------+------------------------------+------------------------------+--------------------+--------- x3o3o *b3x . . . ♦ 32 | 48 48 | 32 24 32 0 | 8 8 0 8 0 0 | 280 * * * * * | 3 0 0 0 0 | 3 0 0 x3o . *b3x3o . . ♦ 30 | 30 60 | 10 30 20 20 | 0 5 10 0 5 0 | * 1344 * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o3o . ♦ 8 | 4 12 | 0 6 0 8 | 0 0 4 0 0 2 | * * 3360 * * * | 0 2 1 0 0 | 1 2 0 . o3o *b3x3o . . ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 5 5 0 | * * * 1344 * * | 1 0 0 2 0 | 2 0 1 . o . *b3x3o3o . ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 0 5 5 | * * * * 2688 * | 0 1 0 1 1 | 1 1 1 . . . x3o3o3o ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 0 0 5 | * * * * * 1344 | 0 0 1 0 2 | 0 2 1 -----------------+------+------------+----------------------+------------------------------+------------------------------+--------------------+--------- x3o3o *b3x3o . . ♦ 160 | 240 480 | 160 240 320 160 | 40 80 80 80 80 0 | 10 16 0 16 0 0 | 84 * * * * | 2 0 0 x3o . *b3x3o3o . ♦ 60 | 60 180 | 20 90 60 120 | 0 15 60 0 30 30 | 0 6 15 0 6 0 | * 448 * * * | 1 1 0 x . . x3o3o3o ♦ 10 | 5 20 | 0 10 0 20 | 0 0 10 0 0 10 | 0 0 5 0 0 2 | * * 672 * * | 0 2 0 . o3o *b3x3o3o . ♦ 20 | 0 90 | 0 0 60 60 | 0 0 0 15 30 15 | 0 0 0 6 6 0 | * * * 448 * | 1 0 1 . o . *b3x3o3o3o ♦ 15 | 0 60 | 0 0 20 60 | 0 0 0 0 15 30 | 0 0 0 0 6 6 | * * * * 448 | 0 1 1 -----------------+------+------------+----------------------+------------------------------+------------------------------+--------------------+--------- x3o3o *b3x3o3o . ♦ 640 | 960 2880 | 640 1440 1920 1920 | 160 480 960 480 960 480 | 60 192 240 192 192 0 | 12 32 0 32 0 | 14 * * x3o . *b3x3o3o3o ♦ 105 | 105 420 | 35 210 140 420 | 0 35 210 0 105 210 | 0 21 105 0 42 42 | 0 7 21 0 7 | * 64 * . o3o *b3x3o3o3o ♦ 35 | 0 210 | 0 0 140 210 | 0 0 0 35 105 105 | 0 0 0 21 42 21 | 0 0 0 7 7 | * * 64
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