steriruncitruncated demihexeract,
pentistericantic hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | capthix |
| Name |
small celliprismatotruncated hemihexeract, steriruncitruncated demihexeract, pentistericantic hexeract |
| Circumradius | sqrt(43)/2 = 3.278719 |
| Coordinates | (7/sqrt(8), 5/sqrt(8), 3/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 5760, 23040, 31200, 17760, 4136, 296 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3o *b3o3x3x . . . . . . | 5760 | 1 4 2 1 | 4 2 1 2 2 4 4 1 2 | 2 2 4 4 1 2 1 2 2 2 2 4 1 | 1 2 2 2 2 4 1 1 1 2 2 | 1 1 2 2 1 ---------------+------+----------------------+----------------------------------------------+-----------------------------------------------------------+---------------------------------------------+---------------- x . . . . . | 2 | 2880 * * * | 4 2 1 0 0 0 0 0 0 | 2 2 4 4 1 2 0 0 0 0 0 0 0 | 1 2 2 2 2 4 1 0 0 0 0 | 1 1 2 2 0 . x . . . . | 2 | * 11520 * * | 1 0 0 1 1 1 1 0 0 | 1 1 1 1 0 0 1 1 1 1 1 1 0 | 1 1 1 1 1 1 0 1 1 1 1 | 1 1 1 1 1 . . . . x . | 2 | * * 5760 * | 0 1 0 0 0 2 0 1 1 | 0 0 2 0 1 1 0 1 0 2 0 2 1 | 0 1 0 2 0 2 1 1 0 1 2 | 1 0 1 2 1 . . . . . x | 2 | * * * 2880 | 0 0 1 0 0 0 4 0 2 | 0 0 0 4 0 2 0 0 2 0 2 4 1 | 0 0 2 0 2 4 1 0 1 2 2 | 0 1 2 2 1 ---------------+------+----------------------+----------------------------------------------+-----------------------------------------------------------+---------------------------------------------+---------------- x3x . . . . | 6 | 3 3 0 0 | 3840 * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 0 x . . . x . | 4 | 2 0 2 0 | * 2880 * * * * * * * | 0 0 2 0 1 1 0 0 0 0 0 0 0 | 0 1 0 2 0 2 1 0 0 0 0 | 1 0 1 2 0 x . . . . x | 4 | 2 0 0 2 | * * 1440 * * * * * * | 0 0 0 4 0 2 0 0 0 0 0 0 0 | 0 0 2 0 2 4 1 0 0 0 0 | 0 1 2 2 0 . x3o . . . | 3 | 0 3 0 0 | * * * 3840 * * * * * | 1 0 0 0 0 0 1 1 1 0 0 0 0 | 1 1 1 0 0 0 0 1 1 1 0 | 1 1 1 0 1 . x . *b3o . . | 3 | 0 3 0 0 | * * * * 3840 * * * * | 0 1 0 0 0 0 1 0 0 1 1 0 0 | 1 0 0 1 1 0 0 1 1 0 1 | 1 1 0 1 1 . x . . x . | 4 | 0 2 2 0 | * * * * * 5760 * * * | 0 0 1 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 0 1 0 1 0 1 1 | 1 0 1 1 1 . x . . . x | 4 | 0 2 0 2 | * * * * * * 5760 * * | 0 0 0 1 0 0 0 0 1 0 1 1 0 | 0 0 1 0 1 1 0 0 1 1 1 | 0 1 1 1 1 . . . o3x . | 3 | 0 0 3 0 | * * * * * * * 1920 * | 0 0 0 0 1 0 0 0 0 2 0 0 1 | 0 0 0 2 0 0 1 1 0 0 2 | 1 0 0 2 1 . . . . x3x | 6 | 0 0 3 3 | * * * * * * * * 1920 | 0 0 0 0 0 1 0 0 0 0 0 2 1 | 0 0 0 0 0 2 1 0 0 1 2 | 0 0 1 2 1 ---------------+------+----------------------+----------------------------------------------+-----------------------------------------------------------+---------------------------------------------+---------------- x3x3o . . . ♦ 12 | 6 12 0 0 | 4 0 0 4 0 0 0 0 0 | 960 * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 x3x . *b3o . . ♦ 12 | 6 12 0 0 | 4 0 0 0 4 0 0 0 0 | * 960 * * * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 | 1 1 0 1 0 x3x . . x . ♦ 12 | 6 6 6 0 | 2 3 0 0 0 3 0 0 0 | * * 1920 * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 | 1 0 1 1 0 x3x . . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 0 0 3 0 0 | * * * 1920 * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 1 0 x . . o3x . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 0 2 0 | * * * * 960 * * * * * * * * | 0 0 0 2 0 0 1 0 0 0 0 | 1 0 0 2 0 x . . . x3x ♦ 12 | 6 0 6 6 | 0 3 3 0 0 0 0 0 2 | * * * * * 960 * * * * * * * | 0 0 0 0 0 2 1 0 0 0 0 | 0 0 1 2 0 . x3o *b3o . . ♦ 6 | 0 12 0 0 | 0 0 0 4 4 0 0 0 0 | * * * * * * 960 * * * * * * | 1 0 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x3o . x . ♦ 6 | 0 6 3 0 | 0 0 0 2 0 3 0 0 0 | * * * * * * * 1920 * * * * * | 0 1 0 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x3o . . x ♦ 6 | 0 6 0 3 | 0 0 0 2 0 0 3 0 0 | * * * * * * * * 1920 * * * * | 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 1 . x . *b3o3x . ♦ 12 | 0 12 12 0 | 0 0 0 0 4 6 0 4 0 | * * * * * * * * * 960 * * * | 0 0 0 1 0 0 0 1 0 0 1 | 1 0 0 1 1 . x . *b3o . x ♦ 6 | 0 6 0 3 | 0 0 0 0 2 0 3 0 0 | * * * * * * * * * * 1920 * * | 0 0 0 0 1 0 0 0 1 0 1 | 0 1 0 1 1 . x . . x3x ♦ 12 | 0 6 6 6 | 0 0 0 0 0 3 3 0 2 | * * * * * * * * * * * 1920 * | 0 0 0 0 0 1 0 0 0 1 1 | 0 0 1 1 1 . . . o3x3x ♦ 12 | 0 0 12 6 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 480 | 0 0 0 0 0 0 1 0 0 0 2 | 0 0 0 2 1 ---------------+------+----------------------+----------------------------------------------+-----------------------------------------------------------+---------------------------------------------+---------------- x3x3o *b3o . . ♦ 48 | 24 96 0 0 | 32 0 0 32 32 0 0 0 0 | 8 8 0 0 0 0 8 0 0 0 0 0 0 | 120 * * * * * * * * * * | 1 1 0 0 0 x3x3o . x . ♦ 24 | 12 24 12 0 | 8 6 0 8 0 12 0 0 0 | 2 0 4 0 0 0 0 4 0 0 0 0 0 | * 480 * * * * * * * * * | 1 0 1 0 0 x3x3o . . x ♦ 24 | 12 24 0 12 | 8 0 6 8 0 0 12 0 0 | 2 0 0 4 0 0 0 0 4 0 0 0 0 | * * 480 * * * * * * * * | 0 1 1 0 0 x3x . *b3o3x . ♦ 60 | 30 60 60 0 | 20 30 0 0 20 30 0 20 0 | 0 5 10 0 10 0 0 0 0 5 0 0 0 | * * * 192 * * * * * * * | 1 0 0 1 0 x3x . *b3o . x ♦ 24 | 12 24 0 12 | 8 0 6 0 8 0 12 0 0 | 0 2 0 4 0 0 0 0 0 0 4 0 0 | * * * * 480 * * * * * * | 0 1 0 1 0 x3x . . x3x ♦ 36 | 18 18 18 18 | 6 9 9 0 0 9 9 0 6 | 0 0 3 3 0 3 0 0 0 0 0 3 0 | * * * * * 640 * * * * * | 0 0 1 1 0 x . . o3x3x ♦ 24 | 12 0 24 12 | 0 12 6 0 0 0 0 8 8 | 0 0 0 0 4 4 0 0 0 0 0 0 2 | * * * * * * 240 * * * * | 0 0 0 2 0 . x3o *b3o3x . ♦ 30 | 0 60 30 0 | 0 0 0 20 20 30 0 10 0 | 0 0 0 0 0 0 5 10 0 5 0 0 0 | * * * * * * * 192 * * * | 1 0 0 0 1 . x3o *b3o . x ♦ 12 | 0 24 0 6 | 0 0 0 8 8 0 12 0 0 | 0 0 0 0 0 0 2 0 4 0 4 0 0 | * * * * * * * * 480 * * | 0 1 0 0 1 . x3o . x3x ♦ 18 | 0 18 9 9 | 0 0 0 6 0 9 9 0 3 | 0 0 0 0 0 0 0 3 3 0 0 3 0 | * * * * * * * * * 640 * | 0 0 1 0 1 . x . *b3o3x3x ♦ 60 | 0 60 60 30 | 0 0 0 0 20 30 30 20 20 | 0 0 0 0 0 0 0 0 0 5 10 10 5 | * * * * * * * * * * 192 | 0 0 0 1 1 ---------------+------+----------------------+----------------------------------------------+-----------------------------------------------------------+---------------------------------------------+---------------- x3x3o *b3o3x . ♦ 480 | 240 960 480 0 | 320 240 0 320 320 480 0 160 0 | 80 80 160 0 80 0 80 160 0 80 0 0 0 | 10 40 0 16 0 0 0 16 0 0 0 | 12 * * * * x3x3o *b3o . x ♦ 96 | 48 192 0 48 | 64 0 24 64 64 0 96 0 0 | 16 16 0 32 0 0 16 0 32 0 32 0 0 | 2 0 8 0 8 0 0 0 8 0 0 | * 60 * * * x3x3o . x3x ♦ 72 | 36 72 36 36 | 24 18 18 24 0 36 36 0 12 | 6 0 12 12 0 6 0 12 12 0 0 12 0 | 0 3 3 0 0 4 0 0 0 4 0 | * * 160 * * x3x . *b3o3x3x ♦ 360 | 180 360 360 180 | 120 180 90 0 120 180 180 120 120 | 0 30 60 60 60 60 0 0 0 30 60 60 30 | 0 0 0 6 15 20 15 0 0 0 6 | * * * 32 * . x3o *b3o3x3x ♦ 180 | 0 360 180 90 | 0 0 0 120 120 180 180 60 60 | 0 0 0 0 0 0 30 60 60 30 60 60 15 | 0 0 0 0 0 0 0 6 15 20 6 | * * * * 32
x3x3o3x3o4s ... starting figure: x3x3o3x3o4x
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