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Compound of twelve pentagonal prisms
Polyhedral compound / From Wikipedia, the free encyclopedia
This uniform polyhedron compound is a symmetric arrangement of 12 pentagonal prisms, aligned in pairs with the axes of fivefold rotational symmetry of a dodecahedron.
Compound of twelve pentagonal prisms | |
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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.