- Compound of six pentagonal prisms
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Compound of six pentagonal prisms Type Uniform compound Index UC34 Polyhedra 6 pentagonal prisms Faces 12 pentagons,
30 squaresEdges 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 6 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 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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