Compound of six pentagrammic prisms
This uniform polyhedron compound is a chiral symmetric arrangement of 6 pentagrammic prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.
| Compound of six pentagrammic prisms | |
|---|---|
 | |
| Type | Uniform compound |
| Index | UC36 |
| Polyhedra | 6 pentagrammic prisms |
| Faces | 12 pentagrams, 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:
 Rhombicosidodecahedron |
 Small dodecicosidodecahedron |
 Small rhombidodecahedron |
 Small stellated truncated dodecahedron |
Compound of six pentagrammic prisms |
 Compound of twelve pentagrammic prisms |
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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