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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. Uniform 9-polytope - Wikipedia

    en.wikipedia.org/wiki/Uniform_9-polytope

    Uniform 9-polytope. In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets. Each 7-polytope ridge being shared by exactly two 8-polytope facets . A uniform 9-polytope is one which is vertex-transitive, and constructed from uniform 8-polytope facets .

  4. Rectified 9-cubes - Wikipedia

    en.wikipedia.org/wiki/Rectified_9-cubes

    Rectified 9-cubes. In nine-dimensional geometry, a rectified 9-cube is a convex uniform 9-polytope, being a rectification of the regular 9-cube . There are 9 rectifications of the 9-cube. The zeroth is the 9-cube itself, and the 8th is the dual 9-orthoplex. Vertices of the rectified 9-cube are located at the edge-centers of the 9-orthoplex.

  5. McCumber cube - Wikipedia

    en.wikipedia.org/wiki/McCumber_cube

    The McCumber Cube is a model for establishing and evaluating information security ( information assurance) programs. This security model, created in 1991 by John McCumber, is depicted as a three-dimensional Rubik's Cube -like grid. The concept of this model is that, in developing information assurance systems, organizations must consider the ...

  6. 9-orthoplex - Wikipedia

    en.wikipedia.org/wiki/9-orthoplex

    In geometry, a 9-orthoplex or 9- cross polytope, is a regular 9-polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 tetrahedron cells, 4032 5-cells 4-faces, 5376 5-simplex 5-faces, 4608 6-simplex 6-faces, 2304 7-simplex 7-faces, and 512 8-simplex 8-faces . It has two constructed forms, the first being regular with Schläfli symbol {3 ...

  7. Rubik's family cubes of varying sizes - Wikipedia

    en.wikipedia.org/wiki/Rubik's_family_cubes_of...

    Rubik's family cubes of varying sizes. The original Rubik's cube was a mechanical 3×3×3 cube puzzle invented in 1974 by the Hungarian sculptor and professor of architecture Ernő Rubik. Extensions of the Rubik's cube have been around for a long time and come in both hardware and software forms. The major extension have been the availability ...

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  9. Rectified 9-orthoplexes - Wikipedia

    en.wikipedia.org/wiki/Rectified_9-orthoplexes

    The rectified 9-orthoplex is the vertex figure for the demienneractic honeycomb.. or Alternate names. rectified enneacross (Acronym riv) (Jonathan Bowers) Construction. There are two Coxeter groups associated with the rectified 9-orthoplex, one with the C 9 or [4,3 7] Coxeter group, and a lower symmetry with two copies of 8-orthoplex facets, alternating, with the D 9 or [3 6,1,1] Coxeter group.

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