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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]
Cube 2: Hypercube (stylized on-screen as Cube²: Hypercube) is a 2002 Canadian science fiction horror film directed by Andrzej SekuĊa, written by Sean Hood, and produced by Ernie Barbarash, Peter Block, and Suzanne Colvin. It is the second film in the Cube film series and a sequel to Cube.
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 ...
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.)
Cube 2: Hypercube is a sequel to the film Cube. [2] The dusky, dingy rooms of the first film are replaced with high-tech, brightly lit rooms, and the conventional technology of the original traps are replaced with threats based on abstract mathematics.
In geometry, an 8-cube is an eight-dimensional hypercube. It has 256 vertices, 1024 edges, 1792 square faces, 1792 cubic cells, 1120 tesseract 4-faces, 448 5-cube 5-faces, 112 6-cube 6-faces, and 16 7-cube 7-faces. It is represented by Schläfli symbol {4,3 6}, being composed of 3 7-cubes around each 6-face.
The algorithm embeds edge-disjoint binomial trees in the hypercube, such that each neighbor of processing element is the root of a spanning binomial tree on nodes. To broadcast a message, the source node splits its message into k {\displaystyle k} chunks of equal size and cyclically sends them to the roots of the binomial trees.