cube(redirected from regular hexahedron)
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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 antiquitygeometric 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 polyhedronpolyhedron
, 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. ).
(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.
"The Cube Language", M. Najork et al, 1991 IEEE Workshop on Visual Langs, Oct 1991, pp.218-224.
cube(1) See OLAP cube and OLAP.
(2) Apple's earlier Cube computer. See G4.