| Acronym | hatope |
| Name | hexagon - truncated-octahedron duoprismatic prism |
| Circumradius | sqrt(15)/2 = 1.936492 |
| Volume | 12 sqrt(6) = 29.393877 |
| Face vector | 288, 864, 1008, 576, 166, 22 |
| Confer |
|
Incidence matrix according to Dynkin symbol
x x3x x3x3x o o3o o3o3o | 288 | 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 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 1 1 ------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------ x . . . . . | 2 | 144 * * * * * | 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 0 . x . . . . | 2 | * 144 * * * * | 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 | 1 1 1 1 0 1 . . x . . . | 2 | * * 144 * * * | 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 | 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1 . . . x . . | 2 | * * * 144 * * | 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 | 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 1 | 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1 . . . . x . | 2 | * * * * 144 * | 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 | 1 0 1 1 1 1 . . . . . x | 2 | * * * * * 144 | 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 | 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1 ------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------ x x . . . . | 4 | 2 2 0 0 0 0 | 72 * * * * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 x . x . . . | 4 | 2 0 2 0 0 0 | * 72 * * * * * * * * * * * * * | 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0 x . . x . . | 4 | 2 0 0 2 0 0 | * * 72 * * * * * * * * * * * * | 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0 x . . . x . | 4 | 2 0 0 0 2 0 | * * * 72 * * * * * * * * * * * | 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0 x . . . . x | 4 | 2 0 0 0 0 2 | * * * * 72 * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0 . x3x . . . | 6 | 0 3 3 0 0 0 | * * * * * 48 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1 . x . x . . | 4 | 0 2 0 2 0 0 | * * * * * * 72 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1 . x . . x . | 4 | 0 2 0 0 2 0 | * * * * * * * 72 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1 . x . . . x | 4 | 0 2 0 0 0 2 | * * * * * * * * 72 * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1 . . x x . . | 4 | 0 0 2 2 0 0 | * * * * * * * * * 72 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 . . x . x . | 4 | 0 0 2 0 2 0 | * * * * * * * * * * 72 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1 . . x . . x | 4 | 0 0 2 0 0 2 | * * * * * * * * * * * 72 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1 . . . x3x . | 6 | 0 0 0 3 3 0 | * * * * * * * * * * * * 48 * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 . . . x . x | 4 | 0 0 0 2 0 2 | * * * * * * * * * * * * * 72 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1 . . . . x3x | 6 | 0 0 0 0 3 3 | * * * * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 ------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------ x x3x . . . ♦ 12 | 6 6 6 0 0 0 | 3 3 0 0 0 2 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x x . x . . ♦ 8 | 4 4 0 4 0 0 | 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 | * 36 * * * * * * * * * * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 x x . . x . ♦ 8 | 4 4 0 0 4 0 | 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 | * * 36 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 x x . . . x ♦ 8 | 4 4 0 0 0 4 | 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 | * * * 36 * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 x . x x . . ♦ 8 | 4 0 4 4 0 0 | 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 | * * * * 36 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 x . x . x . ♦ 8 | 4 0 4 0 4 0 | 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 | * * * * * 36 * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0 x . x . . x ♦ 8 | 4 0 4 0 0 4 | 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 | * * * * * * 36 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0 x . . x3x . ♦ 12 | 6 0 0 6 6 0 | 0 0 3 3 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * 24 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 x . . x . x ♦ 8 | 4 0 0 4 0 4 | 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 36 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0 x . . . x3x ♦ 12 | 6 0 0 0 6 6 | 0 0 0 3 3 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 24 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 . x3x x . . ♦ 12 | 0 6 6 6 0 0 | 0 0 0 0 0 2 3 0 0 3 0 0 0 0 0 | * * * * * * * * * * 24 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x3x . x . ♦ 12 | 0 6 6 0 6 0 | 0 0 0 0 0 2 0 3 0 0 3 0 0 0 0 | * * * * * * * * * * * 24 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 . x3x . . x ♦ 12 | 0 6 6 0 0 6 | 0 0 0 0 0 2 0 0 3 0 0 3 0 0 0 | * * * * * * * * * * * * 24 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . x3x . ♦ 12 | 0 6 0 6 6 0 | 0 0 0 0 0 0 3 3 0 0 0 0 2 0 0 | * * * * * * * * * * * * * 24 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 . x . x . x ♦ 8 | 0 4 0 4 0 4 | 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 | * * * * * * * * * * * * * * 36 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1 . x . . x3x ♦ 12 | 0 6 0 0 6 6 | 0 0 0 0 0 0 0 3 3 0 0 0 0 0 2 | * * * * * * * * * * * * * * * 24 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 . . x x3x . ♦ 12 | 0 0 6 6 6 0 | 0 0 0 0 0 0 0 0 0 3 3 0 2 0 0 | * * * * * * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 . . x x . x ♦ 8 | 0 0 4 4 0 4 | 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 | * * * * * * * * * * * * * * * * * 36 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 . . x . x3x ♦ 12 | 0 0 6 0 6 6 | 0 0 0 0 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * * * * * * * * * * 24 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 . . . x3x3x ♦ 24 | 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------ x x3x x . . ♦ 24 | 12 12 12 12 0 0 | 6 6 6 0 0 4 6 0 0 6 0 0 0 0 0 | 2 3 0 0 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * | 1 1 0 0 0 0 x x3x . x . ♦ 24 | 12 12 12 0 12 0 | 6 6 0 6 0 4 0 6 0 0 6 0 0 0 0 | 2 0 3 0 0 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * | 1 0 1 0 0 0 x x3x . . x ♦ 24 | 12 12 12 0 0 12 | 6 6 0 0 6 4 0 0 6 0 0 6 0 0 0 | 2 0 0 3 0 0 3 0 0 0 0 0 2 0 0 0 0 0 0 0 | * * 12 * * * * * * * * * * * * | 0 1 1 0 0 0 x x . x3x . ♦ 24 | 12 12 0 12 12 0 | 6 0 6 6 0 0 6 6 0 0 0 0 4 0 0 | 0 3 3 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 | * * * 12 * * * * * * * * * * * | 1 0 0 1 0 0 x x . x . x ♦ 16 | 8 8 0 8 0 8 | 4 0 4 0 4 0 4 0 4 0 0 0 0 4 0 | 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 | * * * * 18 * * * * * * * * * * | 0 1 0 1 0 0 x x . . x3x ♦ 24 | 12 12 0 0 12 12 | 6 0 0 6 6 0 0 6 6 0 0 0 0 0 4 | 0 0 3 3 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 | * * * * * 12 * * * * * * * * * | 0 0 1 1 0 0 x . x x3x . ♦ 24 | 12 0 12 12 12 0 | 0 6 6 6 0 0 0 0 0 6 6 0 4 0 0 | 0 0 0 0 3 3 0 2 0 0 0 0 0 0 0 0 2 0 0 0 | * * * * * * 12 * * * * * * * * | 1 0 0 0 1 0 x . x x . x ♦ 16 | 8 0 8 8 0 8 | 0 4 4 0 4 0 0 0 0 4 0 4 0 4 0 | 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * 18 * * * * * * * | 0 1 0 0 1 0 x . x . x3x ♦ 24 | 12 0 12 0 12 12 | 0 6 0 6 6 0 0 0 0 0 6 6 0 0 4 | 0 0 0 0 0 3 3 0 0 2 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * 12 * * * * * * | 0 0 1 0 1 0 x . . x3x3x ♦ 48 | 24 0 0 24 24 24 | 0 0 12 12 12 0 0 0 0 0 0 0 8 12 8 | 0 0 0 0 0 0 0 4 6 4 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * 6 * * * * * | 0 0 0 1 1 0 . x3x x3x . ♦ 36 | 0 18 18 18 18 0 | 0 0 0 0 0 6 9 9 0 9 9 0 6 0 0 | 0 0 0 0 0 0 0 0 0 0 3 3 0 3 0 0 3 0 0 0 | * * * * * * * * * * 8 * * * * | 1 0 0 0 0 1 . x3x x . x ♦ 24 | 0 12 12 12 0 12 | 0 0 0 0 0 4 6 0 6 6 0 6 0 6 0 | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 3 0 0 3 0 0 | * * * * * * * * * * * 12 * * * | 0 1 0 0 0 1 . x3x . x3x ♦ 36 | 0 18 18 0 18 18 | 0 0 0 0 0 6 0 9 9 0 9 9 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 3 0 0 3 0 | * * * * * * * * * * * * 8 * * | 0 0 1 0 0 1 . x . x3x3x ♦ 48 | 0 24 0 24 24 24 | 0 0 0 0 0 0 12 12 12 0 0 0 8 12 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 0 0 0 2 | * * * * * * * * * * * * * 6 * | 0 0 0 1 0 1 . . x x3x3x ♦ 48 | 0 0 24 24 24 24 | 0 0 0 0 0 0 0 0 0 12 12 12 8 12 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 2 | * * * * * * * * * * * * * * 6 | 0 0 0 0 1 1 ------------+-----+-------------------------+----------------------------------------------+-------------------------------------------------------------+-----------------------------------------+------------ x x3x x3x . ♦ 72 | 36 36 36 36 36 0 | 18 18 18 18 0 12 18 18 0 18 18 0 12 0 0 | 6 9 9 0 9 9 0 6 0 0 6 6 0 6 0 0 6 0 0 0 | 3 3 0 3 0 0 3 0 0 0 2 0 0 0 0 | 4 * * * * * x x3x x . x ♦ 48 | 24 24 24 24 0 24 | 12 12 12 0 12 8 12 0 12 12 0 12 0 12 0 | 4 6 0 6 6 0 6 0 6 0 4 0 4 0 6 0 0 6 0 0 | 2 0 2 0 3 0 0 3 0 0 0 2 0 0 0 | * 6 * * * * x x3x . x3x ♦ 72 | 36 36 36 0 36 36 | 18 18 0 18 18 12 0 18 18 0 18 18 0 0 12 | 6 0 9 9 0 9 9 0 0 6 0 6 6 0 0 6 0 0 6 0 | 0 3 3 0 0 3 0 0 3 0 0 0 2 0 0 | * * 4 * * * x x . x3x3x ♦ 96 | 48 48 0 48 48 48 | 24 0 24 24 24 0 24 24 24 0 0 0 16 24 16 | 0 12 12 12 0 0 0 8 12 8 0 0 0 8 12 8 0 0 0 4 | 0 0 0 4 6 4 0 0 0 2 0 0 0 2 0 | * * * 3 * * x . x x3x3x ♦ 96 | 48 0 48 48 48 48 | 0 24 24 24 24 0 0 0 0 24 24 24 16 24 16 | 0 0 0 0 12 12 12 8 12 8 0 0 0 0 0 0 8 12 8 4 | 0 0 0 0 0 0 4 6 4 2 0 0 0 0 2 | * * * * 3 * . x3x x3x3x ♦ 144 | 0 72 72 72 72 72 | 0 0 0 0 0 24 36 36 36 36 36 36 24 36 24 | 0 0 0 0 0 0 0 0 0 0 12 12 12 12 18 12 12 18 12 6 | 0 0 0 0 0 0 0 0 0 0 4 6 4 3 3 | * * * * * 2
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