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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 .
A hexahedron (plural: hexahedra) is any polyhedron with six faces . A cube , for example, is a regular hexahedron with all its faces square , and three squares around each vertex . There are seven topologically distinct convex hexahedra, one of which exists in two mirror image forms.