 Compound of twelve pentagonal prisms

Compound of twelve pentagonal prisms Type Uniform compound Index UC_{35} Polyhedra 12 pentagonal prisms Faces 24 pentagons, 60 squares Edges 180 Vertices 60 Symmetry group icosahedral (I_{h}) Subgroup restricting to one constituent 5fold dihedral (D_{5}) 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.
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.
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 prismsReferences
 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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