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The cube is the only regular hexahedron and is one of the five Platonic solids . It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped , an equilateral cuboid and a right rhombohedron . It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron .
The regular icosahedron (often simply called the icosahedron) is the regular polyhedron and Platonic solid having 12 polyhedron vertices, 30 polyhedron edges, and 20 equivalent equilateral triangle faces, . SEE ALSO: Regular Icosahedron.