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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. 9-demicube - Wikipedia

    en.wikipedia.org/wiki/9-demicube

    In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes . E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM 9 for a 9-dimensional half measure polytope.

  6. 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 ...

  7. Rummikub - Wikipedia

    en.wikipedia.org/wiki/Rummikub

    Rummikub ( / ˈrʌmikjuːb /, "rummy cube" [1]) is a tile-based game for 2 to 4 players, combining elements of the card game rummy and mahjong. There are 106 tiles in the game, including 104 numbered tiles (valued 1 to 13 in four different colors, two copies of each) and two jokers. Players have 14 or 16 tiles initially and take turns putting ...

  8. 5-demicube - Wikipedia

    en.wikipedia.org/wiki/5-demicube

    5-demicube. In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube ( penteract) with alternated vertices removed. It was discovered by Thorold Gosset. Since it was the only semiregular 5-polytope (made of more than one type of regular facets ), he called it a 5-ic semi-regular.

  9. Sphere packing in a cube - Wikipedia

    en.wikipedia.org/wiki/Sphere_packing_in_a_cube

    In geometry, sphere packing in a cube is a three-dimensional sphere packing problem with the objective of packing spheres inside a cube. It is the three-dimensional equivalent of the circle packing in a square problem in two dimensions. The problem consists of determining the optimal packing of a given number of spheres inside the cube.