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Platonic Solids

name
cube
dodecahedron
icosahedron
octahedron
tetrahedron
transparency
color
There are only five convex polyhedra with identical regular convex faces, as proved in Euclid's Elements. All their vertices lie on a sphere, all their faces are tangent to another sphere, all their edges are tangent to a third sphere, all their dihedral and solid angles are equal, and all their vertices are surrounded by the same number of faces.
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