- more general:
- n,grid-dip
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | ogrid |
| Name | octagon - great-rhombicosidodecahedron duoprism |
| Circumradius | sqrt[35+2 sqrt(2)+12 sqrt(5)]/2 = 4.020611 |
| Face vector | 960, 2400, 2056, 684, 70 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x8o x3x5x . . . . . | 960 | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ----------+-----+-----------------+----------------------------+-----------------------+----------- x . . . . | 2 | 960 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 480 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 480 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 480 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ----------+-----+-----------------+----------------------------+-----------------------+----------- x8o . . . | 8 | 8 0 0 0 | 120 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . x . . | 4 | 2 2 0 0 | * 480 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x . | 4 | 2 0 2 0 | * * 480 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . . x | 4 | 2 0 0 2 | * * * 480 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 160 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 240 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x5x | 10 | 0 0 5 5 | * * * * * * 96 | 0 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+-----------------+----------------------------+-----------------------+----------- x8o x . . ♦ 16 | 16 8 0 0 | 2 8 0 0 0 0 0 | 60 * * * * * * | 1 1 0 0 x8o . x . ♦ 16 | 16 0 8 0 | 2 0 8 0 0 0 0 | * 60 * * * * * | 1 0 1 0 x8o . . x ♦ 16 | 16 0 0 8 | 2 0 0 8 0 0 0 | * * 60 * * * * | 0 1 1 0 x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 | * * * 160 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 | * * * * 240 * * | 0 1 0 1 x . . x5x ♦ 20 | 10 0 10 10 | 0 0 5 5 0 0 2 | * * * * * 96 * | 0 0 1 1 . . x3x5x ♦ 120 | 0 60 60 60 | 0 0 0 0 20 30 12 | * * * * * * 8 | 0 0 0 2 ----------+-----+-----------------+----------------------------+-----------------------+----------- x8o x3x . ♦ 48 | 48 24 24 0 | 6 24 24 0 8 0 0 | 3 3 0 8 0 0 0 | 20 * * * x8o x . x ♦ 32 | 32 16 0 16 | 4 16 0 16 0 8 0 | 2 0 2 0 8 0 0 | * 30 * * x8o . x5x ♦ 80 | 80 0 40 40 | 10 0 40 40 0 0 8 | 0 5 5 0 0 8 0 | * * 12 * x . x3x5x ♦ 240 | 120 120 120 120 | 0 60 60 60 40 60 24 | 0 0 0 20 30 12 2 | * * * 8
x4x x3x5x . . . . . | 960 | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------+-----+---------------------+----------------------------------------+--------------------------------+------------- x . . . . | 2 | 480 * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 480 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 480 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 480 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 480 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+-----+---------------------+----------------------------------------+--------------------------------+------------- x4x . . . | 8 | 4 4 0 0 0 | 120 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 240 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 240 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 240 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 0 | * * * * 240 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 240 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 240 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 160 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 240 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x5x | 10 | 0 0 0 5 5 | * * * * * * * * * 96 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+---------------------+----------------------------------------+--------------------------------+------------- x4x x . . ♦ 16 | 8 8 8 0 0 | 2 4 0 0 4 0 0 0 0 0 | 60 * * * * * * * * * | 1 1 0 0 0 x4x . x . ♦ 16 | 8 8 0 8 0 | 2 0 4 0 0 4 0 0 0 0 | * 60 * * * * * * * * | 1 0 1 0 0 x4x . . x ♦ 16 | 8 8 0 0 8 | 2 0 0 4 0 0 4 0 0 0 | * * 60 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 80 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 120 * * * * * | 0 1 0 1 0 x . . x5x ♦ 20 | 10 0 0 10 10 | 0 0 5 5 0 0 0 0 0 2 | * * * * * 48 * * * * | 0 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 0 | 0 0 0 0 3 3 0 2 0 0 | * * * * * * 80 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 0 4 | 0 0 0 0 2 0 2 0 2 0 | * * * * * * * 120 * * | 0 1 0 0 1 . x . x5x ♦ 20 | 0 10 0 10 10 | 0 0 0 0 0 5 5 0 0 2 | * * * * * * * * 48 * | 0 0 1 0 1 . . x3x5x ♦ 120 | 0 0 60 60 60 | 0 0 0 0 0 0 0 20 30 12 | * * * * * * * * * 8 | 0 0 0 1 1 ----------+-----+---------------------+----------------------------------------+--------------------------------+------------- x4x x3x . ♦ 48 | 24 24 24 24 0 | 6 12 12 0 12 12 0 8 0 0 | 3 3 0 4 0 0 4 0 0 0 | 20 * * * * x4x x . x ♦ 32 | 16 16 16 0 16 | 4 8 0 8 8 0 8 0 8 0 | 2 0 2 0 4 0 0 4 0 0 | * 30 * * * x4x . x5x ♦ 80 | 40 40 0 40 40 | 10 0 20 20 0 20 20 0 0 8 | 0 5 5 0 0 4 0 0 4 0 | * * 12 * * x . x3x5x ♦ 240 | 120 0 120 120 120 | 0 60 60 60 0 0 0 40 60 24 | 0 0 0 20 30 12 0 0 0 2 | * * * 4 * . x x3x5x ♦ 240 | 0 120 120 120 120 | 0 0 0 0 60 60 60 40 60 24 | 0 0 0 0 0 0 20 30 12 2 | * * * * 4
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