Compound of six pentagonal prisms
Polyhedral compound
Compound of six pentagonal prisms | |
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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.
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 (3): 447–457, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR 0397554, S2CID 123279687.
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