- more general:
- n,toe-dip
- general polytopal classes:
- Wythoffian polytera lace simplices
links
| Acronym | hatoe (old: hittoe) |
| Name | hexagon truncated-octahedron duoprism |
| Circumradius | sqrt(7/2) = 1.870829 |
| Volume | 12 sqrt(6) = 29.393877 |
| Face vector | 144, 360, 324, 126, 20 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x6o x3x4o . . . . . | 144 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+-----+------------+-----------------+---------------+------ x . . . . | 2 | 144 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 72 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 144 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+-----+------------+-----------------+---------------+------ x6o . . . | 6 | 6 0 0 | 24 * * * * | 1 2 0 0 0 | 2 1 0 x . x . . | 4 | 2 2 0 | * 72 * * * | 1 0 2 0 0 | 2 0 1 x . . x . | 4 | 2 0 2 | * * 144 * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 48 * | 0 0 2 0 1 | 1 0 2 . . . x4o | 4 | 0 0 4 | * * * * 36 | 0 0 0 2 1 | 0 1 2 ----------+-----+------------+-----------------+---------------+------ x6o x . . ♦ 12 | 12 6 0 | 2 6 0 0 0 | 12 * * * * | 2 0 0 x6o . x . ♦ 12 | 12 0 6 | 2 0 6 0 0 | * 24 * * * | 1 1 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 48 * * | 1 0 1 x . . x4o ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * 36 * | 0 1 1 . . x3x4o ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * 6 | 0 0 2 ----------+-----+------------+-----------------+---------------+------ x6o x3x . ♦ 36 | 36 18 18 | 6 18 18 6 0 | 3 3 6 0 0 | 8 * * x6o . x4o ♦ 24 | 24 0 24 | 4 0 24 0 6 | 0 4 0 6 0 | * 6 * x . x3x4o ♦ 48 | 24 24 48 | 0 12 24 16 12 | 0 0 8 6 2 | * * 6
x6o x3x3x . . . . . | 144 | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ----------+-----+--------------+----------------------+---------------------+-------- x . . . . | 2 | 144 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 72 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 72 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 72 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ----------+-----+--------------+----------------------+---------------------+-------- x6o . . . | 6 | 6 0 0 0 | 24 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . x . . | 4 | 2 2 0 0 | * 72 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x . | 4 | 2 0 2 0 | * * 72 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . . x | 4 | 2 0 0 2 | * * * 72 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 24 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 36 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x3x | 6 | 0 0 3 3 | * * * * * * 24 | 0 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+--------------+----------------------+---------------------+-------- x6o x . . ♦ 12 | 12 6 0 0 | 2 6 0 0 0 0 0 | 12 * * * * * * | 1 1 0 0 x6o . x . ♦ 12 | 12 0 6 0 | 2 0 6 0 0 0 0 | * 12 * * * * * | 1 0 1 0 x6o . . x ♦ 12 | 12 0 0 6 | 2 0 0 6 0 0 0 | * * 12 * * * * | 0 1 1 0 x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 | * * * 24 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 | * * * * 36 * * | 0 1 0 1 x . . x3x ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 2 | * * * * * 24 * | 0 0 1 1 . . x3x3x ♦ 24 | 0 12 12 12 | 0 0 0 0 4 6 4 | * * * * * * 6 | 0 0 0 2 ----------+-----+--------------+----------------------+---------------------+-------- x6o x3x . ♦ 36 | 36 18 18 0 | 6 18 18 0 6 0 0 | 3 3 0 6 0 0 0 | 4 * * * x6o x . x ♦ 24 | 24 12 0 12 | 4 12 0 12 0 6 0 | 2 0 2 0 6 0 0 | * 6 * * x6o . x3x ♦ 36 | 36 0 18 18 | 6 0 18 18 0 0 6 | 0 3 3 0 0 6 0 | * * 4 * x . x3x3x ♦ 48 | 24 24 24 24 | 0 12 12 12 8 12 8 | 0 0 0 4 6 4 2 | * * * 6
x3x x3x4o . . . . . | 144 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+-----+--------------+----------------------+---------------------+-------- x . . . . | 2 | 72 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 72 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 72 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 144 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+-----+--------------+----------------------+---------------------+-------- x3x . . . | 6 | 3 3 0 0 | 24 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 36 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 72 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 36 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 72 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 48 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x4o | 4 | 0 0 0 4 | * * * * * * 36 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+-----+--------------+----------------------+---------------------+-------- x3x x . . ♦ 12 | 6 6 6 0 | 2 3 0 3 0 0 0 | 12 * * * * * * | 2 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 24 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 24 * * * * | 1 0 1 0 x . . x4o ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 2 | * * * 18 * * * | 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 0 | * * * * 24 * * | 1 0 0 1 . x . x4o ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 2 | * * * * * 18 * | 0 1 0 1 . . x3x4o ♦ 24 | 0 0 12 24 | 0 0 0 0 0 8 6 | * * * * * * 6 | 0 0 1 1 ----------+-----+--------------+----------------------+---------------------+-------- x3x x3x . ♦ 36 | 18 18 18 18 | 6 9 9 9 9 6 0 | 3 3 3 0 3 0 0 | 8 * * * x3x . x4o ♦ 24 | 12 12 0 24 | 4 0 12 0 12 0 6 | 0 4 0 3 0 3 0 | * 6 * * x . x3x4o ♦ 48 | 24 0 24 48 | 0 12 24 0 0 16 12 | 0 0 8 6 0 0 2 | * * 3 * . x x3x4o ♦ 48 | 0 24 24 48 | 0 0 0 12 24 16 12 | 0 0 0 0 8 6 2 | * * * 3
x3x x3x3x . . . . . | 144 | 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 | 72 * * * * | 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 | * 72 * * * | 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 | * * 72 * * | 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 | * * * 72 * | 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 | * * * * 72 | 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 ----------+-----+----------------+-------------------------------+------------------------------+---------- x3x . . . | 6 | 3 3 0 0 0 | 24 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 36 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 36 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 36 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 0 | * * * * 36 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 36 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 36 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 24 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 36 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3x | 6 | 0 0 0 3 3 | * * * * * * * * * 24 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+----------------+-------------------------------+------------------------------+---------- x3x x . . ♦ 12 | 6 6 6 0 0 | 2 3 0 0 3 0 0 0 0 0 | 12 * * * * * * * * * | 1 1 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 0 | 2 0 3 0 0 3 0 0 0 0 | * 12 * * * * * * * * | 1 0 1 0 0 x3x . . x ♦ 12 | 6 6 0 0 6 | 2 0 0 3 0 0 3 0 0 0 | * * 12 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 12 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 18 * * * * * | 0 1 0 1 0 x . . x3x ♦ 12 | 6 0 0 6 6 | 0 0 3 3 0 0 0 0 0 2 | * * * * * 12 * * * * | 0 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 0 | 0 0 0 0 3 3 0 2 0 0 | * * * * * * 12 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 0 4 | 0 0 0 0 2 0 2 0 2 0 | * * * * * * * 18 * * | 0 1 0 0 1 . x . x3x ♦ 12 | 0 6 0 6 6 | 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * 12 * | 0 0 1 0 1 . . x3x3x ♦ 24 | 0 0 12 12 12 | 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * 6 | 0 0 0 1 1 ----------+-----+----------------+-------------------------------+------------------------------+---------- x3x x3x . ♦ 36 | 18 18 18 18 0 | 6 9 9 0 9 9 0 6 0 0 | 3 3 0 3 0 0 3 0 0 0 | 4 * * * * x3x x . x ♦ 24 | 12 12 12 0 12 | 4 6 0 6 6 0 6 0 6 0 | 2 0 2 0 3 0 0 3 0 0 | * 6 * * * x3x . x3x ♦ 36 | 18 18 0 18 18 | 6 0 9 9 0 9 9 0 0 6 | 0 3 3 0 0 3 0 0 3 0 | * * 4 * * x . x3x3x ♦ 48 | 24 0 24 24 24 | 0 12 12 12 0 0 0 8 12 8 | 0 0 0 4 6 4 0 0 0 2 | * * * 3 * . x x3x3x ♦ 48 | 0 24 24 24 24 | 0 0 0 0 12 12 12 8 12 8 | 0 0 0 0 0 0 4 6 4 2 | * * * * 3
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