Compound of two snub dodecahedra
Compound of two snub dodecahedra | |
---|---|
Type | Uniform compound |
Index | UC69 |
Schläfli symbol | βr{5,3} |
Coxeter diagram | |
Polyhedra | 2 snub dodecahedra |
Faces | 40+120 triangles, 24 pentagons |
Edges | 300 |
Vertices | 120 |
Symmetry group | icosahedral (Ih) |
Subgroup restricting to one constituent | chiral icosahedral (I) |
This uniform polyhedron compound is a composition of the 2 enantiomers of the snub dodecahedron.
The vertex arrangement of this compound is shared by a convex nonuniform truncated icosidodecahedron, with rectangular faces, alongside irregular hexagons and decagons, each alternating two different edge lengths.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.
This article is issued from Wikipedia - version of the 7/23/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.