The Greeks proved that there are exactly five regular solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. In 1901, Ludwig Schlafli proved that there are exactly six regular solids in four dimensions, and only three regular solids in each dimension five or higher. The program HyperSolids can show and rotate all regular solids in dimensions 3 and 4, and show the "faces" of these solids.
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