steriruncicantic hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | gophax |
| Name |
great prismated demihexeract, steriruncicantic hexeract |
| Circumradius | sqrt(67)/2 = 4.092676 |
| Coordinates | (7/sqrt(8), 7/sqrt(8), 5/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all changes of sign |
| Face vector | 5760, 17280, 19680, 10560, 2636, 236 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3o *b3x3x3o . . . . . . | 5760 | 1 2 1 2 | 2 1 2 1 2 4 2 1 | 1 2 4 2 1 1 2 4 2 1 | 1 2 4 2 1 2 1 2 | 2 1 2 1 ---------------+------+---------------------+-----------------------------------------+--------------------------------------------+--------------------------------+------------- x . . . . . | 2 | 2880 * * * | 2 1 2 0 0 0 0 0 | 1 2 4 2 1 0 0 0 0 0 | 1 2 4 2 1 0 0 0 | 2 1 2 0 . x . . . . | 2 | * 5760 * * | 1 0 0 1 1 2 0 0 | 1 1 2 0 0 1 2 2 1 0 | 1 2 2 1 0 2 1 1 | 2 1 1 1 . . . x . . | 2 | * * 2880 * | 0 1 0 0 2 0 2 0 | 0 2 0 2 0 1 0 4 0 1 | 1 0 4 0 1 2 0 2 | 2 0 2 1 . . . . x . | 2 | * * * 5760 | 0 0 1 0 0 2 1 1 | 0 0 2 1 1 0 1 2 2 1 | 0 1 2 2 1 1 1 2 | 1 1 2 1 ---------------+------+---------------------+-----------------------------------------+--------------------------------------------+--------------------------------+------------- x3x . . . . | 6 | 3 3 0 0 | 1920 * * * * * * * | 1 1 2 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 2 1 1 0 x . . x . . | 4 | 2 0 2 0 | * 1440 * * * * * * | 0 2 0 2 0 0 0 0 0 0 | 1 0 4 0 1 0 0 0 | 2 0 2 0 x . . . x . | 4 | 2 0 0 2 | * * 2880 * * * * * | 0 0 2 1 1 0 0 0 0 0 | 0 1 2 2 1 0 0 0 | 1 1 2 0 . x3o . . . | 3 | 0 3 0 0 | * * * 1920 * * * * | 1 0 0 0 0 1 2 0 0 0 | 1 2 0 0 0 2 1 0 | 2 1 0 1 . x . *b3x . . | 6 | 0 3 3 0 | * * * * 1920 * * * | 0 1 0 0 0 1 0 2 0 0 | 1 0 2 0 0 2 0 1 | 2 0 1 1 . x . . x . | 4 | 0 2 0 2 | * * * * * 5760 * * | 0 0 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1 1 1 | 1 1 1 1 . . . x3x . | 6 | 0 0 3 3 | * * * * * * 1920 * | 0 0 0 1 0 0 0 2 0 1 | 0 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x3o | 3 | 0 0 0 3 | * * * * * * * 1920 | 0 0 0 0 1 0 0 0 2 1 | 0 0 0 2 1 0 1 2 | 0 1 2 1 ---------------+------+---------------------+-----------------------------------------+--------------------------------------------+--------------------------------+------------- x3x3o . . . ♦ 12 | 6 12 0 0 | 4 0 0 4 0 0 0 0 | 480 * * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 x3x . *b3x . . ♦ 24 | 12 12 12 0 | 4 6 0 0 4 0 0 0 | * 480 * * * * * * * * | 1 0 2 0 0 0 0 0 | 2 0 1 0 x3x . . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 0 3 0 0 | * * 1920 * * * * * * * | 0 1 1 1 0 0 0 0 | 1 1 1 0 x . . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 0 2 0 | * * * 960 * * * * * * | 0 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 960 * * * * * | 0 0 0 2 1 0 0 0 | 0 1 2 0 . x3o *b3x . . ♦ 12 | 0 12 6 0 | 0 0 0 4 4 0 0 0 | * * * * * 480 * * * * | 1 0 0 0 0 2 0 0 | 2 0 0 1 . x3o . x . ♦ 6 | 0 6 0 3 | 0 0 0 2 0 3 0 0 | * * * * * * 1920 * * * | 0 1 0 0 0 1 1 0 | 1 1 0 1 . x . *b3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 0 4 6 4 0 | * * * * * * * 960 * * | 0 0 1 0 0 1 0 1 | 1 0 1 1 . x . . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 0 3 0 2 | * * * * * * * * 1920 * | 0 0 0 1 0 0 1 1 | 0 1 1 1 . . . x3x3o ♦ 12 | 0 0 6 12 | 0 0 0 0 0 0 4 4 | * * * * * * * * * 480 | 0 0 0 0 1 0 0 2 | 0 0 2 1 ---------------+------+---------------------+-----------------------------------------+--------------------------------------------+--------------------------------+------------- x3x3o *b3x . . ♦ 96 | 48 96 48 0 | 32 24 0 32 32 0 0 0 | 8 8 0 0 0 8 0 0 0 0 | 60 * * * * * * * | 2 0 0 0 x3x3o . x . ♦ 24 | 12 24 0 12 | 8 0 6 8 0 12 0 0 | 2 0 4 0 0 0 4 0 0 0 | * 480 * * * * * * | 1 1 0 0 x3x . *b3x3x . ♦ 120 | 60 60 60 60 | 20 30 30 0 20 30 20 0 | 0 5 10 10 0 0 0 5 0 0 | * * 192 * * * * * | 1 0 1 0 x3x . . x3o ♦ 18 | 9 9 0 18 | 3 0 9 0 0 9 0 6 | 0 0 3 0 3 0 0 0 3 0 | * * * 640 * * * * | 0 1 1 0 x . . x3x3o ♦ 24 | 12 0 12 24 | 0 6 12 0 0 0 8 8 | 0 0 0 4 4 0 0 0 0 2 | * * * * 240 * * * | 0 0 2 0 . x3o *b3x3x . ♦ 60 | 0 60 30 30 | 0 0 0 20 20 30 10 0 | 0 0 0 0 0 5 10 5 0 0 | * * * * * 192 * * | 1 0 0 1 . x3o . x3o ♦ 9 | 0 9 0 9 | 0 0 0 3 0 9 0 3 | 0 0 0 0 0 0 3 0 3 0 | * * * * * * 640 * | 0 1 0 1 . x . *b3x3x3o ♦ 60 | 0 30 30 60 | 0 0 0 0 10 30 20 20 | 0 0 0 0 0 0 0 5 10 5 | * * * * * * * 192 | 0 0 1 1 ---------------+------+---------------------+-----------------------------------------+--------------------------------------------+--------------------------------+------------- x3x3o *b3x3x . ♦ 960 | 480 960 480 480 | 320 240 240 320 320 480 160 0 | 80 80 160 80 0 80 160 80 0 0 | 10 40 16 0 0 16 0 0 | 12 * * * x3x3o . x3o ♦ 36 | 18 36 0 36 | 12 0 18 12 0 36 0 12 | 3 0 12 0 6 0 12 0 12 0 | 0 3 0 4 0 0 4 0 | * 160 * * x3x . *b3x3x3o ♦ 360 | 180 180 180 360 | 60 90 180 0 60 180 120 120 | 0 15 60 60 60 0 0 30 60 30 | 0 0 6 20 15 0 0 6 | * * 32 * . x3o *b3x3x3o ♦ 180 | 0 180 90 180 | 0 0 0 60 60 180 60 60 | 0 0 0 0 0 15 60 30 60 15 | 0 0 0 0 0 6 20 6 | * * * 32
o3x3x3x3o4s ... starting figure: o3x3x3x3o4x
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