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.

Rhombic hexecontahedron
TypeStellation of rhombic triacontahedron
Vertices62 (12+20+30)
Edges120 (60+60)
Faces60 golden rhombi
SymmetryIh, [5,3], (*532)
Propertiesnon-convex, zonohedron

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

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