Compound of two snub dodecahedra
This uniform polyhedron compound is a composition of the 2 enantiomers of the snub dodecahedron.
| 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) |
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.
Together with its convex hull, it represents the snub dodecahedron-first projection of the nonuniform snub dodecahedral antiprism.
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.
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