Update: I turned this into a full page: Top 8 Interesting Things to Know about the Rhombic Triacontahedron
Ball of Whacks is a geometry toy. (Available online and in toy stores that sell cool stuff.)
It is a rhombic triacontahedron. Each of the 30 rhombic faces are golden, in that the ratio of the diagonals is the Golden Ratio.
Good stuff at https://en.wikipedia.org/wiki/Rhombic_triacontahedron
It is the dual of the Icosidodecahedron (which is Archimedean), which is the Hoberman Sphere.
I have a light in my office (which was a gift from my kids) which is the rhombic triacontahedron.
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