# cube

(redirected from*3-hypercube*)

Also found in: Dictionary, Thesaurus, Wikipedia.

## 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 4^{3}=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

**geometric problems of antiquity,**

three famous problems involving elementary geometric constructions with straight edge and compass, conjectured by the ancient Greeks to be impossible but not proved to be so until modern times.

**.....**Click the link for more information. . The cube, or hexahedron, is one of only five regular polyhedra (see polyhedron

**polyhedron**

, closed solid bounded by plane faces; each face of a polyhedron is a polygon. A cube is a polyhedron bounded by six polygons (in this case squares) meeting at right angles.

**.....**Click the link for more information. ).

## Cube

A solid figure, bounded by six squares, and hence also called a hexahedron.

## 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 = a ^{3}*. It is so named because it expresses the volume of a cube whose edge is equal to

*a*.

## cube

[kyüb] (mathematics)

Regular polyhedron whose faces are all square.

For a number

*a,*the new number obtained by taking the threefold product of*a*with itself:*a*×*a*×*a*.## cube

^{1}

**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 2

^{3})

## cube

^{2}

any of various tropical American plants, esp any of the leguminous genus

*Lonchocarpus,*the roots of which yield rotenone## Cube

(1)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.

"The Cube Language", M. Najork et al, 1991 IEEE Workshop on Visual Langs, Oct 1991, pp.218-224.

## cube

(2)[short for "cubicle"] A module in the open-plan offices
used at many programming shops. "I've got the manuals in my
cube."

## cube

(3)A NeXT machine (which resembles a matte-black cube).

## cube

**(1)**See OLAP cube and OLAP.

**(2)**Apple's earlier Cube computer. See G4.