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9-cube. In geometry, a 9-cube is a nine- dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces . It can be named by its Schläfli symbol {4,3 7 }, being composed of three 8-cubes around each 7-face.
Cube 2: Hypercube. Cube 2: Hypercube (stylized on-screen as Cube²: Hypercube) is a 2002 Canadian science fiction horror film directed by Andrzej Sekuła, 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 . Released in 2002, Hypercube ...
In geometry, a hypercube is an n -dimensional analogue of a square ( n = 2) and a cube ( n = 3 ). 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. A unit hypercube's longest diagonal in n ...
Hypercube graph. In graph theory, the hypercube graph Qn is the graph formed from the vertices and edges of an n -dimensional hypercube. For instance, the cube graph Q3 is the graph formed by the 8 vertices and 12 edges of a three-dimensional cube. Qn has 2n vertices, 2n – 1n edges, and is a regular graph with n edges touching each vertex.
In geometry, a 10-cube is a ten- dimensional hypercube. It has 1024 vertices, 5120 edges, 11520 square faces, 15360 cubic cells, 13440 tesseract 4-faces, 8064 5-cube 5-faces, 3360 6-cube 6-faces, 960 7-cube 7-faces, 180 8-cube 8-faces, and 20 9-cube 9-faces . It can be named by its Schläfli symbol {4,3 8 }, being composed of 3 9-cubes around ...
Hypercubic honeycomb. In geometry, a hypercubic honeycomb is a family of regular honeycombs ( tessellations) in n - dimensional spaces with the Schläfli symbols {4,3...3,4} and containing the symmetry of Coxeter group Rn (or B~n–1) for n ≥ 3 . The tessellation is constructed from 4 n - hypercubes per ridge. The vertex figure is a cross ...
This is commonly referred to as Binary labelling. A 3D hypercube internetwork would be a cube with 8 nodes and 12 edges. A 4D hypercube network can be created by duplicating two 3D networks, and adding a most significant bit. The new added bit should be ‘0’ for one 3D hypercube and ‘1’ for the other 3D hypercube.
Types. A four-dimensional orthotope is likely a hypercuboid. The special case of an n-dimensional orthotope where all edges have equal length is the n-cube or hypercube.. By analogy, the term "hyperrectangle" can refer to Cartesian products of orthogonal intervals of other kinds, such as ranges of keys in database theory or ranges of integers, rather than real numbers.