Rhombic hexecontahedron

Rhombic hexecontahedron
Type Stellation of rhombic triacontahedron
Vertices 62 (12+20+30)
Edges 120 (60+60)
Faces 60 golden rhombi
Symmetry Ih, [5,3], (*532)
Properties non-convex, zonohedron

In geometry, a rhombic hexecontahedron is a stellation of the rhombic triacontahedron. It is nonconvex with 60 golden rhombic faces with icosahedral symmetry. It was described mathematically in 1940 by Helmut Unkelbach.

It is topologically identical to the convex deltoidal hexecontahedron which has kite faces.