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The 600-Cell
The 600-cell is a four-dimensional, convex, regular polytope. Its dual is the 120-cell, also known as the hyperdodecahedron. Since the dual of the dodecahedron is the icosahedron, the 600-cell is sometimes called the “hypericosahedron,” That might lead one to think that the cells of a 600-cell are icosahedra, though, and they are actually tetrahedra. These tetrahedra meet twenty at a vertex. I…
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