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- general polytopal classes:
- Wythoffian polytera
links
| Acronym | rocgrax |
| Name | retrocelligreat rhombated hexateron |
| Field of sections |
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| Circumradius | sqrt(65/12) = 2.327373 |
| Vertex figure |
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| Colonel of regiment | cograx |
| Face vector | 360, 1080, 1080, 420, 53 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3x3x3/2o3*c . . . . . | 360 | 1 1 2 2 | 1 2 2 2 2 2 1 1 | 2 2 2 1 1 2 1 1 1 | 2 1 1 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x . . . . | 2 | 180 * * * | 1 2 2 0 0 0 0 0 | 2 2 2 1 1 0 0 0 0 | 2 1 1 1 0 . x . . . | 2 | * 180 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 2 1 1 0 | 2 1 1 0 1 . . x . . | 2 | * * 360 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 360 | 0 0 1 0 1 1 0 1 | 0 1 1 0 1 1 0 1 1 | 1 0 1 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x3x . . . | 6 | 3 3 0 0 | 60 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 2 1 1 0 0 x . x . . | 4 | 2 0 2 0 | * 180 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 180 * * * * * | 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 120 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 180 * * * | 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 120 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . o3*c | 3 | 0 0 3 0 | * * * * * * 120 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3/2o | 3 | 0 0 0 3 | * * * * * * * 120 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 30 * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 60 * * * * * * * | 1 0 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 0 | * * 60 * * * * * * | 1 0 0 1 0 x . x . o3*c ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 2 0 | * * * 60 * * * * * | 0 1 0 1 0 x . . x3/2o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 60 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 0 | * * * * * 30 * * * | 1 0 0 0 1 . x3x . o3*c ♦ 12 | 0 6 12 0 | 0 0 0 4 0 0 4 0 | * * * * * * 30 * * | 0 1 0 0 1 . x . x3/2o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 60 * | 0 0 1 0 1 . . x3x3/2o3*c ♦ 12 | 0 0 12 12 | 0 0 0 0 0 4 4 4 | * * * * * * * * 30 | 0 0 0 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x3x3x3x . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 20 0 0 | 5 10 10 0 0 5 0 0 0 | 6 * * * * x3x3x . o3*c ♦ 60 | 30 30 60 0 | 10 30 0 20 0 0 20 0 | 5 0 0 10 0 0 5 0 0 | * 6 * * * x3x . x3/2o ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 0 6 | 0 3 0 0 3 0 0 3 0 | * * 20 * * x . x3x3/2o3*c ♦ 24 | 12 0 24 24 | 0 12 12 0 0 8 8 8 | 0 0 4 4 4 0 0 0 2 | * * * 15 * . x3x3x3/2o3*c ♦ 60 | 0 30 60 60 | 0 0 0 20 30 20 20 20 | 0 0 0 0 0 5 5 10 5 | * * * * 6
x3x3x3x3o3/2*c . . . . . | 360 | 1 1 2 2 | 1 2 2 2 2 2 1 1 | 2 2 2 1 1 2 1 1 1 | 2 1 1 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x . . . . | 2 | 180 * * * | 1 2 2 0 0 0 0 0 | 2 2 2 1 1 0 0 0 0 | 2 1 1 1 0 . x . . . | 2 | * 180 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 2 1 1 0 | 2 1 1 0 1 . . x . . | 2 | * * 360 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 360 | 0 0 1 0 1 1 0 1 | 0 1 1 0 1 1 0 1 1 | 1 0 1 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x3x . . . | 6 | 3 3 0 0 | 60 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 2 1 1 0 0 x . x . . | 4 | 2 0 2 0 | * 180 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 180 * * * * * | 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 120 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 180 * * * | 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 120 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . o3/2*c | 3 | 0 0 3 0 | * * * * * * 120 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * * 120 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 0 | 30 * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 0 | * 60 * * * * * * * | 1 0 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 0 | * * 60 * * * * * * | 1 0 0 1 0 x . x . o3/2*c ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 2 0 | * * * 60 * * * * * | 0 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 60 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 0 | * * * * * 30 * * * | 1 0 0 0 1 . x3x . o3/2*c ♦ 12 | 0 6 12 0 | 0 0 0 4 0 0 4 0 | * * * * * * 30 * * | 0 1 0 0 1 . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 60 * | 0 0 1 0 1 . . x3x3o3/2*c ♦ 12 | 0 0 12 12 | 0 0 0 0 0 4 4 4 | * * * * * * * * 30 | 0 0 0 1 1 ---------------+-----+-----------------+--------------------------------+----------------------------+------------ x3x3x3x . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 20 0 0 | 5 10 10 0 0 5 0 0 0 | 6 * * * * x3x3x . o3/2*c ♦ 60 | 30 30 60 0 | 10 30 0 20 0 0 20 0 | 5 0 0 10 0 0 5 0 0 | * 6 * * * x3x . x3o ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 0 6 | 0 3 0 0 3 0 0 3 0 | * * 20 * * x . x3x3o3/2*c ♦ 24 | 12 0 24 24 | 0 12 12 0 0 8 8 8 | 0 0 4 4 4 0 0 0 2 | * * * 15 * . x3x3x3o3/2*c ♦ 60 | 0 30 60 60 | 0 0 0 20 30 20 20 20 | 0 0 0 0 0 5 5 10 5 | * * * * 6
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