Cube
Solid object with six equal square faces / From Wikipedia, the free encyclopedia
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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]
| 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 | |
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.