Compound of two snub dodecahedra
Appearance
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.
Together with its convex hull, it represents the snub dodecahedron-first projection of the nonuniform snub dodecahedral antiprism.
References
[edit]- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.