# 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]

**Table info: Regular hexahedron...**▼

Regular hexahedron | |
---|---|

(Click here for rotating model) | |

Type | Platonic solid |

Elements | F = 6, E = 12V = 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 | O_{h}, B_{3}, [4,3], (*432) |

Rotation group | O, [4,3]^{+}, (432) |

References | U_{06}, C_{18}, W_{3} |

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.