steriruncicantellated demihexeract,
pentisteriruncic hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | caprohax |
| Name |
small celliprismatorhombated hemihexeract, steriruncicantellated demihexeract, pentisteriruncic hexeract |
| Circumradius | sqrt(43)/2 = 3.278719 |
| Coordinates | (7/sqrt(8), 5/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 3840, 15360, 21760, 13440, 3496, 296 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o *b3x3x3x o3o3o *b3o3o3o | 3840 | 3 3 1 1 | 3 3 3 3 3 3 3 1 | 1 3 3 3 3 3 3 1 3 3 3 | 1 1 1 3 3 3 3 1 1 3 | 1 1 1 3 1 ---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+---------------- x . . . . . | 2 | 5760 * * * | 2 1 1 1 0 0 0 0 | 1 2 2 2 1 1 1 0 0 0 0 | 1 1 1 2 2 2 1 0 0 0 | 1 1 1 2 0 . . . x . . | 2 | * 5760 * * | 0 1 0 0 2 1 1 0 | 0 2 0 0 1 1 0 1 2 2 1 | 1 0 0 2 2 0 1 1 1 2 | 1 1 0 2 1 . . . . x . | 2 | * * 1920 * | 0 0 3 0 0 3 0 1 | 0 0 3 0 3 0 3 0 3 0 3 | 0 1 0 3 0 3 3 1 0 3 | 1 0 1 3 1 . . . . . x | 2 | * * * 1920 | 0 0 0 3 0 0 3 1 | 0 0 0 3 0 3 3 0 0 3 3 | 0 0 1 0 3 3 3 0 1 3 | 0 1 1 3 1 ---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+---------------- x3o . . . . | 3 | 3 0 0 0 | 3840 * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 x . . x . . | 4 | 2 2 0 0 | * 2880 * * * * * * | 0 2 0 0 1 1 0 0 0 0 0 | 1 0 0 2 2 0 1 0 0 0 | 1 1 0 2 0 x . . . x . | 4 | 2 0 2 0 | * * 2880 * * * * * | 0 0 2 0 1 0 1 0 0 0 0 | 0 1 0 2 0 2 1 0 0 0 | 1 0 1 2 0 x . . . . x | 4 | 2 0 0 2 | * * * 2880 * * * * | 0 0 0 2 0 1 1 0 0 0 0 | 0 0 1 0 2 2 1 0 0 0 | 0 1 1 2 0 . o . *b3x . . | 3 | 0 3 0 0 | * * * * 3840 * * * | 0 1 0 0 0 0 0 1 1 1 0 | 1 0 0 1 1 0 0 1 1 1 | 1 1 0 1 1 . . . x3x . | 6 | 0 3 3 0 | * * * * * 1920 * * | 0 0 0 0 1 0 0 0 2 0 1 | 0 0 0 2 0 0 1 1 0 2 | 1 0 0 2 1 . . . x . x | 4 | 0 2 0 2 | * * * * * * 2880 * | 0 0 0 0 0 1 0 0 0 2 1 | 0 0 0 0 2 0 1 0 1 2 | 0 1 0 2 1 . . . . x3x | 6 | 0 0 3 3 | * * * * * * * 640 | 0 0 0 0 0 0 3 0 0 0 3 | 0 0 0 0 0 3 3 0 0 3 | 0 0 1 3 1 ---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+---------------- x3o3o . . . ♦ 4 | 6 0 0 0 | 4 0 0 0 0 0 0 0 | 960 * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x3o . *b3x . . ♦ 12 | 12 12 0 0 | 4 6 0 0 4 0 0 0 | * 960 * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x3o . . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 | * * 1920 * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x3o . . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 0 | * * * 1920 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 x . . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 0 2 0 0 | * * * * 960 * * * * * * | 0 0 0 2 0 0 1 0 0 0 | 1 0 0 2 0 x . . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 0 2 0 | * * * * * 1440 * * * * * | 0 0 0 0 2 0 1 0 0 0 | 0 1 0 2 0 x . . . x3x ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 0 2 | * * * * * * 960 * * * * | 0 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0 . o3o *b3x . . ♦ 4 | 0 6 0 0 | 0 0 0 0 4 0 0 0 | * * * * * * * 960 * * * | 1 0 0 0 0 0 0 1 1 0 | 1 1 0 0 1 . o . *b3x3x . ♦ 12 | 0 12 6 0 | 0 0 0 0 4 4 0 0 | * * * * * * * * 960 * * | 0 0 0 1 0 0 0 1 0 1 | 1 0 0 1 1 . o . *b3x . x ♦ 6 | 0 6 0 3 | 0 0 0 0 2 0 3 0 | * * * * * * * * * 1920 * | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1 . . . x3x3x ♦ 24 | 0 12 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * * * * * 480 | 0 0 0 0 0 0 1 0 0 2 | 0 0 0 2 1 ---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+---------------- x3o3o *b3x . . ♦ 32 | 48 48 0 0 | 32 24 0 0 32 0 0 0 | 8 8 0 0 0 0 0 8 0 0 0 | 120 * * * * * * * * * | 1 1 0 0 0 x3o3o . x . ♦ 8 | 12 0 4 0 | 8 0 6 0 0 0 0 0 | 2 0 4 0 0 0 0 0 0 0 0 | * 480 * * * * * * * * | 1 0 1 0 0 x3o3o . . x ♦ 8 | 12 0 0 4 | 8 0 0 6 0 0 0 0 | 2 0 0 4 0 0 0 0 0 0 0 | * * 480 * * * * * * * | 0 1 1 0 0 x3o . *b3x3x . ♦ 60 | 60 60 30 0 | 20 30 30 0 20 20 0 0 | 0 5 10 0 10 0 0 0 5 0 0 | * * * 192 * * * * * * | 1 0 0 1 0 x3o . *b3x . x ♦ 24 | 24 24 0 12 | 8 12 0 12 8 0 12 0 | 0 2 0 4 0 6 0 0 0 4 0 | * * * * 480 * * * * * | 0 1 0 1 0 x3o . . x3x ♦ 18 | 18 0 9 9 | 6 0 9 9 0 0 0 3 | 0 0 3 3 0 0 3 0 0 0 0 | * * * * * 640 * * * * | 0 0 1 1 0 x . . x3x3x ♦ 48 | 24 24 24 24 | 0 12 12 12 0 8 12 8 | 0 0 0 0 4 6 4 0 0 0 2 | * * * * * * 240 * * * | 0 0 0 2 0 . o3o *b3x3x . ♦ 20 | 0 30 10 0 | 0 0 0 0 20 10 0 0 | 0 0 0 0 0 0 0 5 5 0 0 | * * * * * * * 192 * * | 1 0 0 0 1 . o3o *b3x . x ♦ 8 | 0 12 0 4 | 0 0 0 0 8 0 6 0 | 0 0 0 0 0 0 0 2 0 4 0 | * * * * * * * * 480 * | 0 1 0 0 1 . o . *b3x3x3x ♦ 60 | 0 60 30 30 | 0 0 0 0 20 20 30 10 | 0 0 0 0 0 0 0 0 5 10 5 | * * * * * * * * * 192 | 0 0 0 1 1 ---------------+------+---------------------+----------------------------------------+-------------------------------------------------+-----------------------------------------+---------------- x3o3o *b3x3x . ♦ 320 | 480 480 160 0 | 320 240 240 0 320 160 0 0 | 80 80 160 0 80 0 0 80 80 0 0 | 10 40 0 16 0 0 0 16 0 0 | 12 * * * * x3o3o *b3x . x ♦ 64 | 96 96 0 32 | 64 48 0 48 64 0 48 0 | 16 16 0 32 0 24 0 16 0 32 0 | 2 0 8 0 8 0 0 0 8 0 | * 60 * * * x3o3o . x3x ♦ 24 | 36 0 12 12 | 24 0 18 18 0 0 0 4 | 6 0 12 12 0 0 6 0 0 0 0 | 0 3 3 0 0 4 0 0 0 0 | * * 160 * * x3o . *b3x3x3x ♦ 360 | 360 360 180 180 | 120 180 180 180 120 120 180 60 | 0 30 60 60 60 90 60 0 30 60 30 | 0 0 0 6 15 20 15 0 0 6 | * * * 32 * . o3o *b3x3x3x ♦ 120 | 0 180 60 60 | 0 0 0 0 120 60 90 20 | 0 0 0 0 0 0 0 30 30 60 15 | 0 0 0 0 0 0 0 6 15 6 | * * * * 32
x3x3x3o3o4s ... starting figure: x3x3x3o3o4x
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