hexagon-octagon duoprismatic prism
- more general:
- n,m-dippip
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | haop (old: hodippip) |
| Name |
hexagon octagonal-prism duoprism, hexagon-octagon duoprismatic prism |
| Circumradius | sqrt[9+2 sqrt(2)]/2 = 1.719624 |
| Volume | 3 [1+sqrt(2)] sqrt(3) = 12.544622 |
| Face vector | 96, 240, 220, 90, 16 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x6o x8o . . . . . | 96 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+----+----------+----------------+--------------+------ x . . . . | 2 | 48 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 96 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 96 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+----+----------+----------------+--------------+------ x x . . . | 4 | 2 2 0 | 48 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 48 * * * | 0 2 1 0 0 | 1 2 0 . x6o . . | 6 | 0 6 0 | * * 16 * * | 1 0 0 2 0 | 2 0 1 . x . x . | 4 | 0 2 2 | * * * 96 * | 0 1 0 1 1 | 1 1 1 . . . x8o | 8 | 0 0 8 | * * * * 12 | 0 0 1 0 2 | 0 2 1 ----------+----+----------+----------------+--------------+------ x x6o . . ♦ 12 | 6 12 0 | 6 0 2 0 0 | 8 * * * * | 2 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 48 * * * | 1 1 0 x . . x8o ♦ 16 | 8 0 16 | 0 8 0 0 2 | * * 6 * * | 0 2 0 . x6o x . ♦ 12 | 0 12 6 | 0 0 2 6 0 | * * * 16 * | 1 0 1 . x . x8o ♦ 16 | 0 8 16 | 0 0 0 8 2 | * * * * 12 | 0 1 1 ----------+----+----------+----------------+--------------+------ x x6o x . ♦ 24 | 12 24 12 | 12 6 4 12 0 | 2 6 0 2 0 | 8 * * x x . x8o ♦ 32 | 16 16 32 | 8 16 0 16 4 | 0 8 2 0 2 | * 6 * . x6o x8o ♦ 48 | 0 48 48 | 0 0 8 48 6 | 0 0 0 8 6 | * * 2
x x3x x4x . . . . . | 96 | 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 | 48 * * * * | 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 | * 48 * * * | 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 | * * 48 * * | 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 | * * * 48 * | 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 | * * * * 48 | 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 ----------+----+----------------+-------------------------------+-------------------------+---------- x x . . . | 4 | 2 2 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 | * 24 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 24 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 24 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 0 | * * * * 16 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 24 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 24 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x x . | 4 | 0 0 2 2 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 | * * * * * * * * 24 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x4x | 8 | 0 0 0 4 4 | * * * * * * * * * 12 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+----+----------------+-------------------------------+-------------------------+---------- x x3x . . ♦ 12 | 6 6 6 0 0 | 3 3 0 0 2 0 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0 x x . x . ♦ 8 | 4 4 0 4 0 | 2 0 2 0 0 2 0 0 0 0 | * 12 * * * * * * * * | 1 0 1 0 0 x x . . x ♦ 8 | 4 4 0 0 4 | 2 0 0 2 0 0 2 0 0 0 | * * 12 * * * * * * * | 0 1 1 0 0 x . x x . ♦ 8 | 4 0 4 4 0 | 0 2 2 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 | * * * * 12 * * * * * | 0 1 0 1 0 x . . x4x ♦ 16 | 8 0 0 8 8 | 0 0 4 4 0 0 0 0 0 2 | * * * * * 6 * * * * | 0 0 1 1 0 . x3x x . ♦ 12 | 0 6 6 6 0 | 0 0 0 0 2 3 0 3 0 0 | * * * * * * 8 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 0 6 | 0 0 0 0 2 0 3 0 3 0 | * * * * * * * 8 * * | 0 1 0 0 1 . x . x4x ♦ 16 | 0 8 0 8 8 | 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * 6 * | 0 0 1 0 1 . . x x4x ♦ 16 | 0 0 8 8 8 | 0 0 0 0 0 0 0 4 4 2 | * * * * * * * * * 6 | 0 0 0 1 1 ----------+----+----------------+-------------------------------+-------------------------+---------- x x3x x . ♦ 24 | 12 12 12 12 0 | 6 6 6 0 4 6 0 6 0 0 | 2 3 0 3 0 0 2 0 0 0 | 4 * * * * x x3x . x ♦ 24 | 12 12 12 0 12 | 6 6 0 6 4 0 6 0 6 0 | 2 0 3 0 3 0 0 2 0 0 | * 4 * * * x x . x4x ♦ 32 | 16 16 0 16 16 | 8 0 8 8 0 8 8 0 0 4 | 0 4 4 0 0 2 0 0 2 0 | * * 3 * * x . x x4x ♦ 32 | 16 0 16 16 16 | 0 8 8 8 0 0 0 8 8 4 | 0 0 0 4 4 2 0 0 0 2 | * * * 3 * . x3x x4x ♦ 48 | 0 24 24 24 24 | 0 0 0 0 8 12 12 12 12 6 | 0 0 0 0 0 0 4 4 3 3 | * * * * 2
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