Compound of two snub icosidodecadodecahedra

Compound of two snub icosidodecadodecahedra
TypeUniform compound
IndexUC75
Polyhedra2 snub icosidodecadodecahedra
Faces40+120 triangles,
24 pentagons,
24 pentagrams
Edges360
Vertices120
Symmetry groupicosahedral (Ih)
Subgroup restricting to one constituentchiral icosahedral (I)
3D model of the compound of two snub icosidodecahedra

The compound of two snub icosidodecadodecahedra is a uniform polyhedron compound, composed of the 2 enantiomers of the snub icosidodecadodecahedron. Its convex hull is a nonuniform truncated icosidodecahedron.

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.