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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. 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.

  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. 10-simplex - Wikipedia

    en.wikipedia.org/wiki/10-simplex

    10-simplex. In geometry, a 10- simplex is a self-dual regular 10-polytope. It has 11 vertices, 55 edges, 165 triangle faces, 330 tetrahedral cells, 462 5-cell 4-faces, 462 5-simplex 5-faces, 330 6-simplex 6-faces, 165 7-simplex 7-faces, 55 8-simplex 8-faces, and 11 9-simplex 9-faces. Its dihedral angle is cos −1 (1/10), or approximately 84.26°.

  9. 10-orthoplex - Wikipedia

    en.wikipedia.org/wiki/10-orthoplex

    10-orthoplex. In geometry, a 10-orthoplex or 10- cross polytope, is a regular 10-polytope with 20 vertices, 180 edges, 960 triangle faces, 3360 octahedron cells, 8064 5-cells 4-faces, 13440 5-faces, 15360 6-faces, 11520 7-faces, 5120 8-faces, and 1024 9-faces . It has two constructed forms, the first being regular with Schläfli symbol {3 8 ,4 ...