Compound of six pentagrammic prisms
Appearance
Compound of six pentagrammic prisms | |
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Type | Uniform compound |
Index | UC36 |
Polyhedra | 6 pentagrammic prisms |
Faces | 12 pentagrams, 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 pentagrammic 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:
![]() Rhombicosidodecahedron |
![]() Small dodecicosidodecahedron |
![]() Small rhombidodecahedron |
![]() Small stellated truncated dodecahedron |
![]() Compound of six pentagrammic prisms |
![]() Compound of twelve pentagrammic prisms |
References
[edit]- 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.