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In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract.It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length.
The Dalí cross, a net of a tesseract The tesseract can be unfolded into eight cubes into 3D space, just as the cube can be unfolded into six squares into 2D space.. In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. [1]
The hypercube graph Q n (for n > 1) : is the Hasse diagram of a finite Boolean algebra. is a median graph. Every median graph is an isometric subgraph of a hypercube, and can be formed as a retraction of a hypercube. has more than 2 2 n-2 perfect matchings. (this is another consequence that follows easily from the inductive construction.)
A hypercube is a convex polytope, the n-dimensional analogue of a square and a cube. It may also refer to: Cube 2: Hypercube, a film; Tesseract, a four-dimensional ...
The most familiar 4-polytope is the tesseract or hypercube, the 4D analogue of the cube. The convex regular 4-polytopes can be ordered by size as a measure of 4-dimensional content (hypervolume) for the same radius. Each greater polytope in the sequence is rounder than its predecessor, enclosing more content [5] within the same radius. The 4 ...
An example of an OLAP cube. An OLAP cube is a multi-dimensional array of data. [1] Online analytical processing (OLAP) [2] is a computer-based technique of analyzing data to look for insights.
The term unit cube or unit hypercube is also used for hypercubes, or "cubes" in n-dimensional spaces, for values of n other than 3 and edge length 1. [ 1 ] [ 2 ] Sometimes the term "unit cube" refers in specific to the set [0, 1] n of all n -tuples of numbers in the interval [0, 1].
In computer networking, hypercube networks are a type of network topology used to connect and route data between multiple processing units or computers. Hypercube networks consist of 2 m nodes, which form the vertices of squares to create an internetwork connection. A hypercube is basically a multidimensional mesh network with two nodes in each ...