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  2. 9-cube - Wikipedia

    en.wikipedia.org/wiki/9-cube

    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.

  3. Hypercube - Wikipedia

    en.wikipedia.org/wiki/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 ...

  4. Cube 2: Hypercube - Wikipedia

    en.wikipedia.org/wiki/Cube_2:_Hypercube

    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 ...

  5. Partial cube - Wikipedia

    en.wikipedia.org/wiki/Partial_cube

    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.

  6. Hypercube graph - Wikipedia

    en.wikipedia.org/wiki/Hypercube_graph

    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.

  7. Tesseract - Wikipedia

    en.wikipedia.org/wiki/Tesseract

    In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. 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 .

  8. Uniform 10-polytope - Wikipedia

    en.wikipedia.org/wiki/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 .

  9. Hyperrectangle - Wikipedia

    en.wikipedia.org/wiki/Hyperrectangle

    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.

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