| Compound of six pentagonal prisms | |
|---|---|
| Type | Uniform compound |
| Index | UC34 |
| Polyhedra | 6 pentagonal prisms |
| Faces | 12 pentagons,30 squares |
| Edges | 90 |
| Vertices | 60 |
| Symmetry group | chiral icosahedral (I) |
| Subgroup restricting to one constituent | 5-fold dihedral (D5) |
This uniform polyhedron compound is a chiral symmetric arrangement of six pentagonal prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.
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Related polyhedra
This compound shares its vertex arrangement with four uniform polyhedra as follows:
| Nonconvex great rhombicosidodecahedron | Great dodecicosidodecahedron | Great rhombidodecahedron |
| Truncated great dodecahedron | Compound of six pentagonal prisms | Compound of twelve pentagonal prisms |
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR 0397554, S2CID 123279687.