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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.
The hypercube is the special case of a hyperrectangle (also called an n-orthotope). A unit hypercube is a hypercube whose side has length one unit. Often, the hypercube whose corners (or vertices) are the 2 n points in R n with each coordinate equal to 0 or 1 is called the unit hypercube.
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 ...
Octahedron. In geometry, an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Regular octahedra occur in nature as crystal structures.
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]
A four-dimensional orthotope is likely a hypercuboid. [3]The special case of an n-dimensional orthotope where all edges have equal length is the n-cube or hypercube. [2]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.
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 ...
Coxeter group. In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors). Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; for example, the symmetry group of each regular polyhedron is a finite ...
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