# Cube

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In geometry, a cube[1] 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.[2]

Table info: Regular hexahedron...
Regular hexahedron

TypePlatonic solid
ElementsF = 6, E = 12
V = 8 (χ = 2)
Faces by sides6{4}
Conway notationC
Schläfli symbols{4,3}
t{2,4} or {4}×{}
tr{2,2}
{}×{}×{} = {}3
Face configurationV3.3.3.3
Wythoff symbol3 | 2 4
Coxeter diagram
SymmetryOh, B3, [4,3], (*432)
Rotation groupO, [4,3]+, (432)
ReferencesU06, C18, W3
Propertiesregular, convexzonohedron, Hanner polytope
Dihedral angle90°

4.4.4
(Vertex figure)

Octahedron
(dual polyhedron)

Net
Close

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.

The cube is the only convex polyhedron whose faces are all squares.

Its generalization for higher dimensional spaces is called a hypercube.