[[Image:PlatonicSolids.jpg|right|600px|thumb|The five regular convex polyhedra, also known as the Platonic Solids]]
[[Image:PlatonicSolids.jpg|right|600px|thumb|The five regular convex polyhedra, also known as the Platonic Solids]]
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A regular polyhedron is a polyhedron all of whose faces are identical regular polygons, and all of whose vertices have the same number of faces around each vertex. There are only five regular convex polyhedra—polyhedra in which the all of the faces are on the outside of the polyhedron.<ref>As opposed to four "star polyhedra" in which the "faces" of the polyhedron slice into the polyhedron</ref>. They are:
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A regular polyhedron is a polyhedron all of whose faces are identical regular polygons, and all of whose vertices have the same number of faces around each vertex. There are only five regular convex polyhedra—polyhedra in which the all of the faces are on the outside of the polyhedron.<ref>As opposed to four "star polyhedra" in which the "faces" of the polyhedron slice into the polyhedron</ref> They are: