Cube

Regular hexahedron
(Click here for rotating model)
Type	Platonic solid
Elements	F = 6, E = 12 V = 8 (χ = 2)
Faces by sides	6{4}
Conway notation	C
Schläfli symbols	{4,3}
	t{2,4} or {4}×{} tr{2,2} {}×{}×{} = {}3
Face configuration	V3.3.3.3
Wythoff symbol	3 | 2 4
Coxeter diagram
Symmetry	Oh, B3, [4,3], (*432)
Rotation group	O, [4,3]+, (432)
References	U06, C18, W3
Properties	regular, convexzonohedron, Hanner polytope
Dihedral angle	90°
4.4.4 (Vertex figure)	Octahedron (dual polyhedron)
Net

In geometry, a cube^[a] is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meeting at each vertex. Viewed from a corner, it is a hexagon and its net is usually depicted as a cross.^[1]

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, a right rhombohedron, and a 3-zonohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations.

The cube is dual to the octahedron. It has cubical or octahedral symmetry, and is the only convex polyhedron whose faces are all squares. Its generalization for higher-dimensional spaces is called a hypercube.

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