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- between {R} and {8/3} at L: arccos[-sqrt(2/3)] = 144.735610°
- between {4} and {8/3}: 135°
- between {4} and {R} at L: arccos[-1/sqrt(3)] = 125.264390°
- between {R} and {R} at S: 120°
| Acronym | ... |
| Name | 12S-24R-6O polyhedron within quitco's army |
| |
| Circumradius | sqrt[13-6 sqrt(2)]/2 = 1.062393 |
| Vertex figure | [4,8/3,R2] |
| Coordinates | (1, sqrt(2)-1, 2 sqrt(2)-1)/2 all permutations, all changes of sign |
| General of army | q3x4x |
| Dihedral angles |
|
| Face vector | 48, 96, 42 |
| Confer |
Note, that the hexagons of quitco come in parallel pairs. Accordingly that polyhedron can be blended with narrow hexagonal prisms. The outcome then would be this, then just isogonal polyhedron. The edge ratio of those prisms then would be S : L = h : w = sqrt(3) : (1+sqrt(2)). (Metrical scaling however in here is chosen such that L=1, i.e. S=h/w.)
48 | 1 1 1 1 | 1 1 2 ---+-------------+-------- 2 | 24 * * * | 1 1 0 L 2 | * 24 * * | 1 0 1 L 2 | * * 24 * | 0 1 1 L 2 | * * * 24 | 0 0 2 S ---+-------------+-------- 8 | 4 4 0 0 | 6 * * octagram 4 | 2 0 2 0 | * 12 * square 4 | 0 1 1 2 | * * 24 rectangle
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