Compound of six pentagonal prisms

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

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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 prisms

References

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  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR 0397554, S2CID 123279687.