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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.
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.
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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Household bookshelf arranged by color. A bookcase, or bookshelf, is a piece of furniture with horizontal shelves, often in a cabinet, used to store books or other printed materials. Bookcases are used in private homes, public and university libraries, offices, schools, and bookstores. Bookcases range from small, low models the height of a table ...
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