![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Rhombic_hexecontahedron.png/640px-Rhombic_hexecontahedron.png&w=640&q=50)
Rhombic hexecontahedron
3D geometric shape / From Wikipedia, the free encyclopedia
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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]
Rhombic hexecontahedron | |
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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 |
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Rhombic_hexecontahedron.stl/640px-Rhombic_hexecontahedron.stl.png)
It is topologically identical to the convex deltoidal hexecontahedron which has kite faces.