Compound of two snub dodecahedra

Compound of two snub dodecahedra
Compound of two snub dodecahedra
UC69-2 snub dodecahedra.png
Type Uniform compound
Index UC69
Polyhedra 2 snub dodecahedra
Faces 40+120 triangles, 24 pentagons
Edges 300
Vertices 120
Symmetry group icosahedral (Ih)
Subgroup restricting to one constituent chiral icosahedral (I)

This uniform polyhedron compound is a composition of the 2 enantiomers of the snub dodecahedron.

The vertex arrangement of this compound is shared by a convex nonuniform truncated icosidodecahedron, with rectangular faces, alongside irregular hexagons and decagons, each alternating two different 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 .