variation of truncated octahedron,
Waterman polyhedron number 5 wrt. face-centered cubic lattice A3 centered at a lattice point
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- between x4o and u3x: arccos[-1/sqrt(3)] = 125.264390°
- between u3x and u3x (at u): arccos(-1/3) = 109.471221°
| Acronym | ... |
| Name |
u3x4o, variation of truncated octahedron, Waterman polyhedron number 5 wrt. face-centered cubic lattice A3 centered at a lattice point |
| |
| Circumradius | sqrt(5) = 2.236068 |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Dihedral angles |
|
| Face vector | 24, 36, 14 |
| Confer |
Incidence matrix according to Dynkin symbol
u3x4o . . . | 24 | 1 2 | 2 1 ------+----+-------+---- u . . | 2 | 12 * | 2 0 . x . | 2 | * 24 | 1 1 ------+----+-------+---- u3x . | 6 | 3 3 | 8 * . x4o | 4 | 0 4 | * 6
u3x4/3o . . . | 24 | 1 2 | 2 1 --------+----+-------+---- u . . | 2 | 12 * | 2 0 . x . | 2 | * 24 | 1 1 --------+----+-------+---- u3x . | 6 | 3 3 | 8 * . x4/3o | 4 | 0 4 | * 6
x3u3x . . . | 24 | 1 1 1 | 1 1 1 ------+----+----------+------ x . . | 2 | 12 * * | 1 1 0 . u . | 2 | * 12 * | 1 0 1 . . x | 2 | * * 12 | 0 1 1 ------+----+----------+------ x3u . | 6 | 3 3 0 | 4 * * x . x | 4 | 2 0 2 | * 6 * . u3x | 6 | 0 3 3 | * * 4
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