Compound of six pentagonal prisms

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Compound of six pentagonal prisms
UC34-6 pentagonal prisms.png
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 6 pentagonal prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.

Related polyhedra[edit]

This compound shares its vertex arrangement with four uniform polyhedra as follows:

Uniform great rhombicosidodecahedron.png
Nonconvex great rhombicosidodecahedron
Great dodecicosidodecahedron.png
Great dodecicosidodecahedron
Great rhombidodecahedron.png
Great rhombidodecahedron
Great truncated dodecahedron.png
Truncated great dodecahedron
UC34-6 pentagonal prisms.png
Compound of six pentagonal prisms
UC35-12 pentagonal prisms.png
Compound of twelve pentagonal prisms

References[edit]

  • Skilling, John (1976), Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society 79 (03): 447–457, doi:10.1017/S0305004100052440, MR 0397554 .