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Platonic Solids
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Platonic solids, named after philosopher Plato, are three-dimensional objects with faces that are the same regular polygon. There are five polyhedron that meet the definition and they are called the tetrahedron, cube or hexahedron, octahedron, dodecahedron and icosahedron. It is possible to prove that there are exactly five such solids using basic geometry, and Theaetetus has done this at around 400 BC. PlatoÕs philosophy associated platonic solids with the traditional elements; earth was associated with the cube, air with the octahedron, water with the icosahedron, and fire with the tetrahedron. Platonic solids still hold significant interest through topics like virus structures, crystal structures, and mathematics. Duals are a noteworthy consequence of platonic solids. 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