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
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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 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.