| Compound of five great cubicuboctahedra | |
|---|---|
| |
| Type | Uniform compound |
| Index | UC65 |
| Polyhedra | 5 great cubicuboctahedra |
| Faces | 40 triangles, 30 squares, 30 octagrams |
| Edges | 240 |
| Vertices | 120 |
| Symmetry group | icosahedral (Ih) |
| Subgroup restricting to one constituent | pyritohedral (Th) |
This uniform polyhedron compound is a composition of 5 great cubicuboctahedra, in the same arrangement as the compound of 5 truncated cubes.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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