Compound of six pentagonal prisms
{{Short description|Polyhedral compound}}
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!bgcolor=#e7dcc3 colspan=2|Compound of six pentagonal prisms | |
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| bgcolor=#e7dcc3|Type | Uniform compound |
| bgcolor=#e7dcc3|Index | UC34 |
| bgcolor=#e7dcc3|Polyhedra | 6 pentagonal prisms |
| bgcolor=#e7dcc3|Faces | 12 pentagons, 30 squares |
| bgcolor=#e7dcc3|Edges | 90 |
| bgcolor=#e7dcc3|Vertices | 60 |
| bgcolor=#e7dcc3|Symmetry group | chiral icosahedral (I) |
| bgcolor=#e7dcc3|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.
Related polyhedra
This compound shares its vertex arrangement with four uniform polyhedra as follows:
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| 100px Truncated great dodecahedron | 100px |
References
- {{citation|first=John|last=Skilling|title=Uniform Compounds of Uniform Polyhedra|journal=Mathematical Proceedings of the Cambridge Philosophical Society|volume=79|issue=3|pages=447–457|year=1976|doi=10.1017/S0305004100052440|bibcode=1976MPCPS..79..447S |mr=0397554|s2cid=123279687}}.
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