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
3D model of a rhombic hexecontahedron

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.[1]

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