- more general:
- n,sirco-dip
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | osirco |
| Name | octagon small-rhombicuboctahedron duoprism |
| Circumradius | sqrt(2)+1/2 = 1.914214 |
| Volume | 4[16+11 sqrt(2)]/3 = 42.075132 |
| Face vector | 192, 576, 616, 264, 34 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x8o x3o4x . . . . . | 192 | 2 2 2 | 1 4 4 1 2 1 | 2 2 2 4 2 1 | 1 2 1 2 ----------+-----+-------------+---------------------+------------------+--------- x . . . . | 2 | 192 * * | 1 2 2 0 0 0 | 2 2 1 2 1 0 | 1 2 1 1 . . x . . | 2 | * 192 * | 0 2 0 1 1 0 | 1 0 2 2 0 1 | 1 1 0 2 . . . . x | 2 | * * 192 | 0 0 2 0 1 1 | 0 1 0 2 2 1 | 0 1 1 2 ----------+-----+-------------+---------------------+------------------+--------- x8o . . . | 8 | 8 0 0 | 24 * * * * * | 2 2 0 0 0 0 | 1 2 1 0 x . x . . | 4 | 2 2 0 | * 192 * * * * | 1 0 1 1 0 0 | 1 1 0 1 x . . . x | 4 | 2 0 2 | * * 192 * * * | 0 1 0 1 1 0 | 0 1 1 1 . . x3o . | 3 | 0 3 0 | * * * 64 * * | 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 2 | * * * * 96 * | 0 0 0 2 0 1 | 0 1 0 2 . . . o4x | 4 | 0 0 4 | * * * * * 48 | 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+-------------+---------------------+------------------+--------- x8o x . . ♦ 16 | 16 8 0 | 2 8 0 0 0 0 | 24 * * * * * | 1 1 0 0 x8o . . x ♦ 16 | 16 0 8 | 2 0 8 0 0 0 | * 24 * * * * | 0 1 1 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 64 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 96 * * | 0 1 0 1 x . . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * 48 * | 0 0 1 1 . . x3o4x ♦ 24 | 0 24 24 | 0 0 0 8 12 6 | * * * * * 8 | 0 0 0 2 ----------+-----+-------------+---------------------+------------------+--------- x8o x3o . ♦ 24 | 24 24 0 | 3 24 0 8 0 0 | 3 0 8 0 0 0 | 8 * * * x8o x . x ♦ 32 | 32 16 16 | 4 16 16 0 8 0 | 2 2 0 8 0 0 | * 12 * * x8o . o4x ♦ 32 | 32 0 32 | 4 0 32 0 0 8 | 0 4 0 0 8 0 | * * 6 * x . x3o4x ♦ 48 | 24 48 48 | 0 24 24 16 24 12 | 0 0 8 12 6 2 | * * * 8
x4x x3o4x . . . . . | 192 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+-----+---------------+-------------------------+---------------------------+----------- x . . . . | 2 | 96 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 96 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 192 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 192 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+-----+---------------+-------------------------+---------------------------+----------- x4x . . . | 8 | 4 4 0 0 | 24 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 96 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 96 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 96 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 96 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 64 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 96 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4x | 4 | 0 0 0 4 | * * * * * * * 48 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+---------------+-------------------------+---------------------------+----------- x4x x . . ♦ 16 | 8 8 8 0 | 2 4 0 4 0 0 0 0 | 24 * * * * * * * * | 1 1 0 0 0 x4x . . x ♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 0 0 | * 24 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 32 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 48 * * * * * | 0 1 0 1 0 x . . o4x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 24 * * * * | 0 0 1 1 0 . x x3o . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * * 32 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * * 48 * * | 0 1 0 0 1 . x . o4x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 24 * | 0 0 1 0 1 . . x3o4x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * * * * * 8 | 0 0 0 1 1 ----------+-----+---------------+-------------------------+---------------------------+----------- x4x x3o . ♦ 24 | 12 12 24 0 | 3 12 0 12 0 8 0 0 | 3 0 4 0 0 4 0 0 0 | 8 * * * * x4x x . x ♦ 32 | 16 16 16 16 | 4 8 8 8 8 0 8 0 | 2 2 0 4 0 0 4 0 0 | * 12 * * * x4x . o4x ♦ 32 | 16 16 0 32 | 4 0 16 0 16 0 0 8 | 0 4 0 0 4 0 0 4 0 | * * 6 * * x . x3o4x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 24 12 | 0 0 8 12 6 0 0 0 2 | * * * 4 * . x x3o4x ♦ 48 | 0 24 48 48 | 0 0 0 24 24 16 24 12 | 0 0 0 0 0 8 12 6 2 | * * * * 4 snubbed forms: s4x2x3o4s
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