Compound of two snub cubes
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 .
| 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) |
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.
Together with its convex hull, it represents the snub cube-first projection of the nonuniform snub cubic antiprism.
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