Compound of two snub cubes
| Compound of two snub cubes | |
|---|---|
 | |
| Type | Uniform compound |
| Index | UC68 |
| Schläfli symbol | βr{4,3} |
| Coxeter diagram |    |
| Polyhedra | 2 snub cubes |
| Faces | 16+48 triangles 12 squares |
| Edges | 120 |
| Vertices | 48 |
| Symmetry group | octahedral (Oh) |
| Subgroup restricting to one constituent | chiral octahedral (O) |
This uniform polyhedron compound is a composition of the 2 enantiomers of the snub cube. As a holosnub, it is represented by Schläfli symbol βr{4,3} and Coxeter diagram .
The vertex arrangement of this compound is shared by a convex nonuniform truncated cuboctahedron, having rectangular faces, alongside irregular hexagons and octagons, each alternating with two edge lengths.
Truncated cuboctahedron
This compound can be seen as the union of the two chiral alternations of a truncated cuboctahedron:
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.