Compound of six pentagonal prisms
This uniform polyhedron compound is a chiral symmetric arrangement of 6 pentagonal prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.
| 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) |
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 |
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (03): 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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