Compound of two snub cubes | |
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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.