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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.
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 ...
In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. [1] Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles.
Cube. (film series) Cube is a Canadian science fiction horror film series. The films were directed by Vincenzo Natali, [1] Andrzej Sekuła, [2] Ernie Barbarash [3] and Yasuhiko Shimizu respectively. The films are centered, with slight variations, on the same science-fictional setting: a gigantic, mechanized cubical structure of unknown purpose ...
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 ...
Partial cube. In graph theory, a partial cube is a graph that is an isometric subgraph of a hypercube. [ 1] In other words, a partial cube can be identified with a subgraph of a hypercube in such a way that the distance between any two vertices in the partial cube is the same as the distance between those vertices in the hypercube.
Uniform 10-polytope. Graphs of three regular and related uniform polytopes . In ten-dimensional geometry, a 10-polytope is a 10-dimensional polytope whose boundary consists of 9-polytope facets, exactly two such facets meeting at each 8-polytope ridge . A uniform 10-polytope is one which is vertex-transitive, and constructed from uniform facets .
[8] [9] [better source needed] The physical form of the CM-1, CM-2, and CM-200 chassis was a cube-of-cubes, referencing the machine's internal 12-dimensional hypercube network, with the red light-emitting diodes (LEDs), by default indicating the processor status, visible through the doors of each cube.
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