- general polytopal classes:
- Wythoffian polytera
links
| Acronym | recard |
| Name | retrocellirhombated dodecaateron |
| Circumradius | sqrt(11)/2 = 1.658312 |
| General of army | card |
| Colonel of regiment | card |
| Face vector | 180, 720, 780, 300, 44 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3/2o3*a3x3/2o3*a . . . . . | 180 | 4 2 2 | 4 2 4 2 1 4 1 | 2 4 2 2 1 2 2 2 | 2 1 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x . . . . | 2 | 360 * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1 0 . x . . . | 2 | * 180 * | 2 0 0 0 1 2 0 | 2 2 1 0 0 0 2 1 | 2 1 1 0 1 . . . x . | 2 | * * 180 | 0 0 2 0 0 2 1 | 0 2 0 1 0 2 1 2 | 1 0 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x . . . | 6 | 3 3 0 | 120 * * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0 x . o3*a . . | 3 | 3 0 0 | * 120 * * * * * | 1 0 0 1 1 0 0 0 | 1 1 0 1 0 x . . *a3x . | 6 | 3 0 3 | * * 120 * * * * | 0 1 0 1 0 1 0 0 | 1 0 1 1 0 x . . . o3*a | 3 | 3 0 0 | * * * 120 * * * | 0 0 1 0 1 1 0 0 | 0 1 1 1 0 . x3/2o . . | 3 | 0 3 0 | * * * * 60 * * | 2 0 0 0 0 0 2 0 | 2 1 0 0 1 . x . x . | 4 | 0 2 2 | * * * * * 180 * | 0 1 0 0 0 0 1 1 | 1 0 1 0 1 . . . x3/2o | 3 | 0 0 3 | * * * * * * 60 | 0 0 0 0 0 2 0 2 | 0 0 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x3/2o3*a . . ♦ 12 | 12 12 0 | 4 4 0 0 4 0 0 | 30 * * * * * * * | 1 1 0 0 0 x3x . *a3x . ♦ 24 | 12 12 12 | 4 0 4 0 0 6 0 | * 30 * * * * * * | 1 0 1 0 0 x3x . . o3*a ♦ 12 | 12 6 0 | 4 0 0 4 0 0 0 | * * 30 * * * * * | 0 1 1 0 0 x . o3*a3x . ♦ 12 | 12 0 6 | 0 4 4 0 0 0 0 | * * * 30 * * * * | 1 0 0 1 0 x . o3*a . o3*a ♦ 6 | 12 0 0 | 0 4 0 4 0 0 0 | * * * * 30 * * * | 0 1 0 1 0 x . . *a3x3/2o3*a ♦ 12 | 12 0 12 | 0 0 4 4 0 0 4 | * * * * * 30 * * | 0 0 1 1 0 . x3/2o x . ♦ 6 | 0 6 3 | 0 0 0 0 2 3 0 | * * * * * * 60 * | 1 0 0 0 1 trip . x . x3/2o ♦ 6 | 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * * 60 | 0 0 1 0 1 trip --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x3/2o3*a3x . ♦ 60 | 60 60 30 | 20 20 20 0 20 30 0 | 5 5 0 5 0 0 10 0 | 6 * * * * x3x3/2o3*a . o3*a ♦ 30 | 60 30 0 | 20 20 0 20 10 0 0 | 5 0 5 0 5 0 0 0 | * 6 * * * x3x . *a3x3/2o3*a ♦ 60 | 60 30 60 | 20 0 20 20 0 30 20 | 0 5 5 0 0 5 0 10 | * * 6 * * x . o3*a3x3/2o3*a ♦ 30 | 60 0 30 | 0 20 20 20 0 0 10 | 0 0 0 5 5 5 0 0 | * * * 6 * . x3/2o x3/2o ♦ 9 | 0 9 9 | 0 0 0 0 3 9 3 | 0 0 0 0 0 0 3 3 | * * * * 20
x3x3o3/2*a3x3/2o3*a . . . . . | 180 | 4 2 2 | 4 2 4 2 1 4 1 | 2 4 2 2 1 2 2 2 | 2 1 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x . . . . | 2 | 360 * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1 0 . x . . . | 2 | * 180 * | 2 0 0 0 1 2 0 | 2 2 1 0 0 0 2 1 | 2 1 1 0 1 . . . x . | 2 | * * 180 | 0 0 2 0 0 2 1 | 0 2 0 1 0 2 1 2 | 1 0 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x . . . | 6 | 3 3 0 | 120 * * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0 x . o3/2*a . . | 3 | 3 0 0 | * 120 * * * * * | 1 0 0 1 1 0 0 0 | 1 1 0 1 0 x . . *a3x . | 6 | 3 0 3 | * * 120 * * * * | 0 1 0 1 0 1 0 0 | 1 0 1 1 0 x . . . o3*a | 3 | 3 0 0 | * * * 120 * * * | 0 0 1 0 1 1 0 0 | 0 1 1 1 0 . x3o . . | 3 | 0 3 0 | * * * * 60 * * | 2 0 0 0 0 0 2 0 | 2 1 0 0 1 . x . x . | 4 | 0 2 2 | * * * * * 180 * | 0 1 0 0 0 0 1 1 | 1 0 1 0 1 . . . x3/2o | 3 | 0 0 3 | * * * * * * 60 | 0 0 0 0 0 2 0 2 | 0 0 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x3o3/2*a . . ♦ 12 | 12 12 0 | 4 4 0 0 4 0 0 | 30 * * * * * * * | 1 1 0 0 0 x3x . *a3x . ♦ 24 | 12 12 12 | 4 0 4 0 0 6 0 | * 30 * * * * * * | 1 0 1 0 0 x3x . . o3*a ♦ 12 | 12 6 0 | 4 0 0 4 0 0 0 | * * 30 * * * * * | 0 1 1 0 0 x . o3/2*a3x . ♦ 12 | 12 0 6 | 0 4 4 0 0 0 0 | * * * 30 * * * * | 1 0 0 1 0 x . o3/2*a . o3*a ♦ 6 | 12 0 0 | 0 4 0 4 0 0 0 | * * * * 30 * * * | 0 1 0 1 0 x . . *a3x3/2o3*a ♦ 12 | 12 0 12 | 0 0 4 4 0 0 4 | * * * * * 30 * * | 0 0 1 1 0 . x3o x . ♦ 6 | 0 6 3 | 0 0 0 0 2 3 0 | * * * * * * 60 * | 1 0 0 0 1 trip . x . x3/2o ♦ 6 | 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * * 60 | 0 0 1 0 1 trip --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x3o3/2*a3x . ♦ 60 | 60 60 30 | 20 20 20 0 20 30 0 | 5 5 0 5 0 0 10 0 | 6 * * * * x3x3o3/2*a . o3*a ♦ 30 | 60 30 0 | 20 20 0 20 10 0 0 | 5 0 5 0 5 0 0 0 | * 6 * * * x3x . *a3x3/2o3*a ♦ 60 | 60 30 60 | 20 0 20 20 0 30 20 | 0 5 5 0 0 5 0 10 | * * 6 * * x . o3/2*a3x3/2o3*a ♦ 30 | 60 0 30 | 0 20 20 20 0 0 10 | 0 0 0 5 5 5 0 0 | * * * 6 * . x3o x3/2o ♦ 9 | 0 9 9 | 0 0 0 0 3 9 3 | 0 0 0 0 0 0 3 3 | * * * * 20
x3x3o3/2*a3x3o3/2*a . . . . . | 180 | 4 2 2 | 4 2 4 2 1 4 1 | 2 4 2 2 1 2 2 2 | 2 1 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x . . . . | 2 | 360 * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1 0 . x . . . | 2 | * 180 * | 2 0 0 0 1 2 0 | 2 2 1 0 0 0 2 1 | 2 1 1 0 1 . . . x . | 2 | * * 180 | 0 0 2 0 0 2 1 | 0 2 0 1 0 2 1 2 | 1 0 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x . . . | 6 | 3 3 0 | 120 * * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0 x . o3/2*a . . | 3 | 3 0 0 | * 120 * * * * * | 1 0 0 1 1 0 0 0 | 1 1 0 1 0 x . . *a3x . | 6 | 3 0 3 | * * 120 * * * * | 0 1 0 1 0 1 0 0 | 1 0 1 1 0 x . . . o3/2*a | 3 | 3 0 0 | * * * 120 * * * | 0 0 1 0 1 1 0 0 | 0 1 1 1 0 . x3o . . | 3 | 0 3 0 | * * * * 60 * * | 2 0 0 0 0 0 2 0 | 2 1 0 0 1 . x . x . | 4 | 0 2 2 | * * * * * 180 * | 0 1 0 0 0 0 1 1 | 1 0 1 0 1 . . . x3o | 3 | 0 0 3 | * * * * * * 60 | 0 0 0 0 0 2 0 2 | 0 0 2 1 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x3o3/2*a . . ♦ 12 | 12 12 0 | 4 4 0 0 4 0 0 | 30 * * * * * * * | 1 1 0 0 0 x3x . *a3x . ♦ 24 | 12 12 12 | 4 0 4 0 0 6 0 | * 30 * * * * * * | 1 0 1 0 0 x3x . . o3/2*a ♦ 12 | 12 6 0 | 4 0 0 4 0 0 0 | * * 30 * * * * * | 0 1 1 0 0 x . o3/2*a3x . ♦ 12 | 12 0 6 | 0 4 4 0 0 0 0 | * * * 30 * * * * | 1 0 0 1 0 x . o3/2*a . o3/2*a ♦ 6 | 12 0 0 | 0 4 0 4 0 0 0 | * * * * 30 * * * | 0 1 0 1 0 x . . *a3x3o3/2*a ♦ 12 | 12 0 12 | 0 0 4 4 0 0 4 | * * * * * 30 * * | 0 0 1 1 0 . x3o x . ♦ 6 | 0 6 3 | 0 0 0 0 2 3 0 | * * * * * * 60 * | 1 0 0 0 1 . x . x3o ♦ 6 | 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * * 60 | 0 0 1 0 1 --------------------+-----+-------------+---------------------------+-------------------------+----------- x3x3o3/2*a3x . ♦ 60 | 60 60 30 | 20 20 20 0 20 30 0 | 5 5 0 5 0 0 10 0 | 6 * * * * x3x3o3/2*a . o3/2*a ♦ 30 | 60 30 0 | 20 20 0 20 10 0 0 | 5 0 5 0 5 0 0 0 | * 6 * * * x3x . *a3x3o3/2*a ♦ 60 | 60 30 60 | 20 0 20 20 0 30 20 | 0 5 5 0 0 5 0 10 | * * 6 * * x . o3/2*a3x3o3/2*a ♦ 30 | 60 0 30 | 0 20 20 20 0 0 10 | 0 0 0 5 5 5 0 0 | * * * 6 * . x3o x3o ♦ 9 | 0 9 9 | 0 0 0 0 3 9 3 | 0 0 0 0 0 0 3 3 | * * * * 20
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