Word info Synonyms

hypercube

Noun

Meaning

(geometry) A geometric figure in four or more dimensions, which is analogous to a cube in three dimensions. Specifically, the n-dimensional equivalent of a cube for any non-negative integer n.

(geometry) Such a figure in four dimensions; a tesseract.

(computing) A data cube with more than three dimensions.

(computing) A computer architecture in which each processor is connected to n others, by analogy with a hypercube of n dimensions.

Source: en.wiktionary.org

Synonyms

Examples

A distance between two rules can be defined by the number of steps required to move from one vertex, which represents the first rule, and another vertex, representing another rule, along the edge of the hypercube. Source: Internet

A hypercube of dimension n has 2n sides (a 1-dimensional line has 2 end points; a 2-dimensional square has 4 sides or edges; a 3-dimensional cube has 6 2-dimensional faces; a 4-dimensional tesseract has 8 cells). Source: Internet

However, they are special cases of a more general definition that is valid for any kind of n-dimensional convex or non-convex object, such as a hypercube or a set of scattered points. Source: Internet

A side is any element of (n-1) dimension of the parent hypercube. Source: Internet

A unit hypercube is a hypercube whose side has length one unit. Source: Internet

Elements Every n-cube of n > 0 is composed of elements, or n-cubes of a lower dimension, on the (n-1)-dimensional surface on the parent hypercube. Source: Internet

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