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 polyhedrons—polyhedrons 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: | 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 polyhedrons—polyhedrons 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: |