Compound of four hexagonal prisms
From HandWiki
Short description: Polyhedral compound
| Compound of four hexagonal prisms | |
|---|---|
| 200px | |
| Type | Uniform compound |
| Index | UC38 |
| Polyhedra | 4 hexagonal prisms |
| Faces | 8 hexagons, 24 squares |
| Edges | 72 |
| Vertices | 48 |
| Symmetry group | octahedral (Oh) |
| Subgroup restricting to one constituent | 3-fold antiprismatic (D3d) |
This uniform polyhedron compound is a symmetric arrangement of 4 hexagonal prisms, aligned with the axes of threefold rotational symmetry of an octahedron. It shares the same vertex arrangement as a nonuniform rhombicuboctahedron.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the permutations of
- (±1, ±(1−√6), ±(1+√6))
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79 (3): 447–457, doi:10.1017/S0305004100052440.
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