- more general:
- n-tut-dip
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | otut |
| Name | octagon - truncated-tetrahedron duoprism |
| Circumradius | sqrt[(19+4 sqrt(2))/8] = 1.755593 |
| Volume | 23[2+sqrt(2)]/6 = 13.087819 |
| Face vector | 96, 240, 220, 90, 16 |
| Confer |
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| External links | |
As abstract polytope otut is isomorphic tostotut, thereby replacing octagons by octagrams, resp. replacingop bystop as well astodip bytistodip andhodip byhistodip.
Incidence matrix according toDynkin symbol
x8o x3x3o . . . . . | 96 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2----------+----+----------+----------------+--------------+------x . . . . | 2 | 96 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1. . x . . | 2 | * 48 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2. . . x . | 2 | * * 96 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2----------+----+----------+----------------+--------------+------x8o . . . | 8 | 8 0 0 | 12 * * * * | 1 2 0 0 0 | 2 1 0x . x . . | 4 | 2 2 0 | * 48 * * * | 1 0 2 0 0 | 2 0 1x . . x . | 4 | 2 0 2 | * * 96 * * | 0 1 1 1 0 | 1 1 1. . x3x . | 6 | 0 3 3 | * * * 32 * | 0 0 2 0 1 | 1 0 2. . . x3o | 3 | 0 0 3 | * * * * 32 | 0 0 0 2 1 | 0 1 2----------+----+----------+----------------+--------------+------x8o x . .♦ 16 | 16 8 0 | 2 8 0 0 0 | 6 * * * * | 2 0 0x8o . x .♦ 16 | 16 0 8 | 2 0 8 0 0 | * 12 * * * | 1 1 0x . x3x .♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 32 * * | 1 0 1x . . x3o♦ 6 | 3 0 6 | 0 0 3 0 2 | * * * 32 * | 0 1 1. . x3x3o♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * 8 | 0 0 2----------+----+----------+----------------+--------------+------x8o x3x .♦ 48 | 48 24 24 | 6 24 24 8 0 | 3 3 8 0 0 | 4 * *x8o . x3o♦ 24 | 24 0 24 | 3 0 24 0 8 | 0 3 0 8 0 | * 4 *x . x3x3o♦ 24 | 12 12 24 | 0 6 12 8 8 | 0 0 4 4 2 | * * 8
x4x x3x3o. . . . . | 96 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1----------+----+-------------+----------------------+--------------------+--------x . . . . | 2 | 48 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0. x . . . | 2 | * 48 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1. . x . . | 2 | * * 48 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1. . . x . | 2 | * * * 96 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1----------+----+-------------+----------------------+--------------------+--------x4x . . . | 8 | 4 4 0 0 | 12 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0x . x . . | 4 | 2 0 2 0 | * 24 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0x . . x . | 4 | 2 0 0 2 | * * 48 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0. x x . . | 4 | 0 2 2 0 | * * * 24 * * * | 1 0 0 0 2 0 0 | 2 0 0 1. x . x . | 4 | 0 2 0 2 | * * * * 48 * * | 0 1 0 0 1 1 0 | 1 1 0 1. . x3x . | 6 | 0 0 3 3 | * * * * * 32 * | 0 0 1 0 1 0 1 | 1 0 1 1. . . x3o | 3 | 0 0 0 3 | * * * * * * 32 | 0 0 0 1 0 1 1 | 0 1 1 1----------+----+-------------+----------------------+--------------------+--------x4x x . .♦ 16 | 8 8 8 0 | 2 4 0 4 0 0 0 | 6 * * * * * * | 2 0 0 0x4x . x .♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 0 | * 12 * * * * * | 1 1 0 0x . x3x .♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 16 * * * * | 1 0 1 0x . . x3o♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 16 * * * | 0 1 1 0. x x3x .♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 0 | * * * * 16 * * | 1 0 0 1. x . x3o♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 16 * | 0 1 0 1. . x3x3o♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 8 | 0 0 1 1----------+----+-------------+----------------------+--------------------+--------x4x x3x .♦ 48 | 24 24 24 24 | 6 12 12 12 12 8 0 | 3 3 4 0 4 0 0 | 4 * * *x4x . x3o♦ 24 | 12 12 0 24 | 3 0 12 0 12 0 8 | 0 3 0 4 0 4 0 | * 4 * *x . x3x3o♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 | * * 4 *. x x3x3o♦ 24 | 0 12 12 24 | 0 0 0 6 12 8 8 | 0 0 0 0 4 4 2 | * * * 4
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