A mathematical object existing in more than three dimensions, analogous to the cube in that each two-dimensional facet of the surface is a square; a generalization of a cube in more than three dimensions.

A multicomputer in which the nodes are placed at the vertices of a d-dimensional cube. In most cases, a binary hypercube is used in which each node is connected to n others in a hypercube containing 2**n nodes.

noun - A shape of n dimensions where the vertices in each dimension are +/-1. It is the n-dimensional analog of the square in planespace, the cube in realmspace, and the tesseract in tetraspace. All of a hypercube's faces are (n-1) dimensional hypercubes. Sometimes the term is restricted only to dimensions above the third, and frequently it is used to refer only to the tesseract.

A cube of four (and higher) dimensions. In formal terminologies used by network topologists, a point is a 0-hypercube, a line segment is a 1-hypercube, a square is a 2-hypercube, and a cube is a 3-hypercube. The secret to Emeagwali's success in programming his hypercube computer was that the hypercube topology enabled him to acquire a concrete mental image of the entire system, including mentally visualizing the name, location and 12-nearest neighbors of each of his 4096 clusters of 16-processors.

a cube in a higher-dimensional world

a cube-like logical model in which all measurements are organized into a multidimensional space

a cube within a cube according to physicists

Design for interconnecting elements of a massively parallel system. Connected processors, constituting a virtual subnetwork, form a cube.

An OLAP product that stores all data in a single cube which has all the application dimensions applied to it.

In topology, the four-dimensional figure whose faces are cubes of identical size (as the cube is the 3D figure whose faces are squares of identical size). In an SN0 system with 32 or more CPUs, the CPU node s are connected by data paths that follow the edges of a hypercube.

A network with logarithmic complexity which has the structure of a generalised cube: to obtain a hypercube of the next dimension one doubles the perimeter of the structure and connect their vertices with the original structure.

A multidimensional construction formed by the conjunction of several dimensions. Each cell is defined by a single member of each dimension.