| Compound of five nonconvex great rhombicuboctahedra | |
|---|---|
 | |
| Type | Uniform compound |
| Index | UC67 |
| Polyhedra | 5 nonconvex great rhombicuboctahedra |
| Faces | 40 triangles, 30+60 squares |
| Edges | 240 |
| Vertices | 120 |
| Symmetry group | Icosahedral (Ih) |
| Subgroup restricting to one constituent | Pyritohedral (Th) |
This uniform polyhedron compound is a composition of 5 nonconvex great rhombicuboctahedra, in the same arrangement (i.e. sharing vertices with) 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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