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.

Together with its convex hull, it represents the snub cube-first projection of the nonuniform snub cubic antiprism.