Compound of two snub cubes

Compound of two snub cubes
Type	Uniform compound
Index	UC68
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.

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.

References

• Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554 .

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