- Compound of twelve pentagonal prisms
Compound of twelve pentagonal prisms Type Uniform compound Index UC35 Polyhedra 12 pentagonal prisms Faces 24 pentagons, 60 squares Edges 180 Vertices 60 Symmetry group icosahedral (Ih) Subgroup restricting to one constituent 5-fold dihedral (D5)
It results from composing the two enantiomorphs of the compound of six pentagonal prisms. In doing so, the vertices of the two enantiomorphs coincide, with the result that the full compound has two pentagonal prisms incident on each of its vertices.
Nonconvex great rhombicosidodecahedron
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 (03): 447–457, doi:10.1017/S0305004100052440, MR0397554 .
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