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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 hexagon is a closed plane figure with six edges and six vertices. A regular hexagon is a convex figure with sides of the same length, and internal angles of 120 degrees. It has six rotational symmetries and six reflection symmetries, making up the dihedral group D 6. The properties of hexagons are numerous and interesting.