- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | spojak |
| Name | small prismated icosiheptapeton |
| Circumradius | sqrt(23/3) = 2.768875 |
| Face vector | 4320, 25920, 47520, 34560, 9702, 1062 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o3x3o *c3x . . . . . . | 4320 | 3 6 3 | 3 12 6 6 3 3 6 | 1 6 3 6 3 6 12 2 1 3 6 3 | 2 1 3 6 3 6 6 1 2 3 | 1 2 3 3 1 ---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+----------------- x . . . . . | 2 | 6480 * * | 2 4 2 0 0 0 0 | 1 4 2 2 1 2 4 0 0 0 0 0 | 2 1 2 4 1 2 2 0 0 0 | 1 2 2 1 0 . . . x . . | 2 | * 12960 * | 0 2 0 2 0 1 1 | 0 1 0 2 0 2 2 1 0 2 2 1 | 1 0 1 1 2 2 2 1 1 2 | 1 1 1 2 1 . . . . . x | 2 | * * 6480 | 0 0 2 0 2 0 2 | 0 0 1 0 2 0 4 0 1 0 4 1 | 0 1 0 2 0 4 2 0 2 2 | 0 2 1 2 1 ---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+----------------- x3o . . . . | 3 | 3 0 0 | 4320 * * * * * * | 1 2 1 0 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 | 1 2 1 0 0 x . . x . . | 4 | 2 2 0 | * 12960 * * * * * | 0 1 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 1 1 0 0 0 | 1 1 1 1 0 x . . . . x | 4 | 2 0 2 | * * 6480 * * * * | 0 0 1 0 1 0 2 0 0 0 0 0 | 0 1 0 2 0 2 1 0 0 0 | 0 2 1 1 0 . . o3x . . | 3 | 0 3 0 | * * * 8640 * * * | 0 0 0 1 0 0 0 1 0 1 1 0 | 1 0 0 0 1 1 0 1 1 1 | 1 1 0 1 1 . . o . . *c3x | 3 | 0 0 3 | * * * * 4320 * * | 0 0 0 0 1 0 0 0 1 0 2 0 | 0 1 0 0 0 2 0 0 2 1 | 0 2 0 1 1 . . . x3o . | 3 | 0 3 0 | * * * * * 4320 * | 0 0 0 0 0 2 0 0 0 2 0 1 | 0 0 1 0 2 0 2 1 0 2 | 1 0 1 2 1 . . . x . x | 4 | 0 2 2 | * * * * * * 6480 | 0 0 0 0 0 0 2 0 0 0 2 1 | 0 0 0 1 0 2 2 0 1 2 | 0 1 1 2 1 ---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+----------------- x3o3o . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 0 | 1080 * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0 x3o . x . . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 0 | * 4320 * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x3o . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * * 2160 * * * * * * * * * | 0 1 0 2 0 0 0 0 0 0 | 0 2 1 0 0 x . o3x . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 0 | * * * 4320 * * * * * * * * | 1 0 0 0 1 1 0 0 0 0 | 1 1 0 1 0 x . o . . *c3x ♦ 6 | 3 0 6 | 0 0 3 0 2 0 0 | * * * * 2160 * * * * * * * | 0 1 0 0 0 2 0 0 0 0 | 0 2 0 1 0 x . . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 0 2 0 | * * * * * 4320 * * * * * * | 0 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x . . x . x ♦ 8 | 4 4 4 | 0 2 2 0 0 0 2 | * * * * * * 6480 * * * * * | 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . o3o3x . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 0 | * * * * * * * 2160 * * * * | 1 0 0 0 0 0 0 1 1 0 | 1 1 0 0 1 . o3o . . *c3x ♦ 4 | 0 0 6 | 0 0 0 0 4 0 0 | * * * * * * * * 1080 * * * | 0 1 0 0 0 0 0 0 2 0 | 0 2 0 0 1 . . o3x3o . ♦ 6 | 0 12 0 | 0 0 0 4 0 4 0 | * * * * * * * * * 2160 * * | 0 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . o3x . *c3x ♦ 12 | 0 12 12 | 0 0 0 4 4 0 6 | * * * * * * * * * * 2160 * | 0 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1 . . . x3o x ♦ 6 | 0 6 3 | 0 0 0 0 0 2 3 | * * * * * * * * * * * 2160 | 0 0 0 0 0 0 2 0 0 2 | 0 0 1 2 1 ---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+----------------- x3o3o3x . . ♦ 20 | 30 30 0 | 20 30 0 20 0 0 0 | 5 10 0 10 0 0 0 5 0 0 0 0 | 432 * * * * * * * * * | 1 1 0 0 0 x3o3o . . *c3x ♦ 20 | 30 0 30 | 20 0 30 0 20 0 0 | 5 0 10 0 10 0 0 0 5 0 0 0 | * 216 * * * * * * * * | 0 2 0 0 0 x3o . x3o . ♦ 9 | 9 9 0 | 3 9 0 0 0 3 0 | 0 3 0 0 0 3 0 0 0 0 0 0 | * * 1440 * * * * * * * | 1 0 1 0 0 x3o . x . x ♦ 12 | 12 6 6 | 4 6 6 0 0 0 3 | 0 2 2 0 0 0 3 0 0 0 0 0 | * * * 2160 * * * * * * | 0 1 1 0 0 x . o3x3o . ♦ 12 | 6 24 0 | 0 12 0 8 0 8 0 | 0 0 0 4 0 4 0 0 0 2 0 0 | * * * * 1080 * * * * * | 1 0 0 1 0 x . o3x . *c3x ♦ 24 | 12 24 24 | 0 12 12 8 8 0 12 | 0 0 0 4 4 0 6 0 0 0 2 0 | * * * * * 1080 * * * * | 0 1 0 1 0 x . . x3o x ♦ 12 | 6 12 6 | 0 6 3 0 0 4 6 | 0 0 0 0 0 2 3 0 0 0 0 2 | * * * * * * 2160 * * * | 0 0 1 1 0 . o3o3x3o . ♦ 10 | 0 30 0 | 0 0 0 20 0 10 0 | 0 0 0 0 0 0 0 5 0 5 0 0 | * * * * * * * 432 * * | 1 0 0 0 1 . o3o3x . *c3x ♦ 32 | 0 48 48 | 0 0 0 32 32 0 24 | 0 0 0 0 0 0 0 8 8 0 8 0 | * * * * * * * * 270 * | 0 1 0 0 1 . . o3x3o *c3x ♦ 30 | 0 60 30 | 0 0 0 20 10 20 30 | 0 0 0 0 0 0 0 0 0 5 5 10 | * * * * * * * * * 432 | 0 0 0 1 1 ---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+----------------- x3o3o3x3o . ♦ 60 | 90 180 0 | 60 180 0 120 0 60 0 | 15 60 0 60 0 60 0 30 0 30 0 0 | 6 0 20 0 15 0 0 6 0 0 | 72 * * * * x3o3o3x . *c3x ♦ 320 | 480 480 480 | 320 480 480 320 320 0 240 | 80 160 160 160 160 0 240 80 80 0 80 0 | 16 16 0 80 0 40 0 0 10 0 | * 27 * * * x3o . x3o x ♦ 18 | 18 18 9 | 6 18 9 0 0 6 9 | 0 6 3 0 0 6 9 0 0 0 0 3 | 0 0 2 3 0 0 3 0 0 0 | * * 720 * * x . o3x3o *c3x ♦ 60 | 30 120 60 | 0 60 30 40 20 40 60 | 0 0 0 20 10 20 30 0 0 10 10 20 | 0 0 0 0 5 5 10 0 0 2 | * * * 216 * . o3o3x3o *c3x ♦ 160 | 0 480 240 | 0 0 0 320 160 160 240 | 0 0 0 0 0 0 0 80 40 80 80 80 | 0 0 0 0 0 0 0 16 10 16 | * * * * 27
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