http://arstechnica.com/science/2014/02/after-400-years-mathematicians-find-a-new-class-of-shapes/
Platonic solids, the first class of such shapes, are well-known. They
consist of five different shapes: tetrahedron, cube, octahedron,
dodecahedron, and icosahedron. They have four, six, eight, twelve, and
twenty faces, respectively.
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