Cube

Cube

Regular hexahedron
Hexahedron.jpg
(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
Face configuration
V3.3.3.3
Dihedral angle
90°
Cube vertfig.png
4.4.4
(Vertex figure)
Octahedron (vector).svg
Octahedron
(dual polyhedron)
Hexahedron flat color.svg
Net

Net of cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

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. 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. Without the convex restriction, there's one more such figure, which is made out of 7 cubes; it can be formed by putting one cube in the center and attaching a congruent cube to each of its faces.

Video: Cubes - Faces, Vertices and Edges

Orthogonal projections

The cube has four special orthogonal .....

 

 

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