Cube (redirected from Cube (geometry))

cube, in geometry, regular solid bounded by six equal squares. All adjacent faces of a cube are perpendicular to each other; any one face of a cube may be its base. The dimensions of a cube are the lengths of the three edges which meet at any vertex. The volume of a cube is equal to the product of its dimensions, and since its dimensions are equal, the volume is equal to the third power, or cube, of any one of its dimensions. Hence, in arithmetic and algebra, the cube of a number or letter is that number or letter raised to the third power. For example, the cube of 4 is 4³=4×4×4=64. The problem of constructing a cube with a volume equal to twice that of a given cube using only a compass and a straightedge is known as the problem of the duplication of the cube and is one of the famous geometric problems of antiquity. The cube, or hexahedron, is one of only five regular polyhedra (see polyhedron).

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cube

See OLAP cube and OLAP.

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cube¹

1. a solid having six plane square faces in which the angle between two adjacent sides is a right angle

2. the product of three equal factors: the cube of 2 is 2 × 2 × 2 (usually written 2³)

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cube²

any of various tropical American plants, esp any of the leguminous genus Lonchocarpus, the roots of which yield rotenone

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cube [kyüb]

(mathematics)

Regular polyhedron whose faces are all square.

For a numbera,the new number obtained by taking the threefold product ofawith itself:a×a×a.

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1.		Cube - Three-dimensional visual language for higher-order logic. "The Cube Language", M. Najork et al, 1991 IEEE Workshop on Visual Langs, Oct 1991, pp.218-224.
2.		cube - [short for "cubicle"] A module in the open-plan offices used at many programming shops. "I've got the manuals in my cube."
3.		cube - A NeXT machine (which resembles a matte-black cube).

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Cube 

(1) One of five types of regular polyhedrons, having six square faces, 12 edges, and eight vertices; three mutually perpendicular edges meet at each vertex. A cube is sometimes called a hexahedron.

(2) The cube of the number a is the third power of the number, that is, the product a • a • a = a³. It is so named because it expresses the volume of a cube whose edge is equal to a.