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  2. 6-cube - Wikipedia

    en.wikipedia.org/wiki/6-cube

    In geometry, a 6-cube is a six- dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces . It has Schläfli symbol {4,3 4 }, being composed of 3 5-cubes around each 4-face. It can be called a hexeract, a portmanteau of tesseract (the 4-cube) with hex for six (dimensions ...

  3. 6-demicube - Wikipedia

    en.wikipedia.org/wiki/6-demicube

    In geometry, a 6-demicube or demihexeract is a uniform 6-polytope, constructed from a 6-cube ( hexeract) 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 6 for a 6-dimensional half measure ...

  4. Stericated 6-cubes - Wikipedia

    en.wikipedia.org/wiki/Stericated_6-cubes

    Stericated 6-cubes. In six-dimensional geometry, a stericated 6-cube is a convex uniform 6-polytope, constructed as a sterication (4th order truncation) of the regular 6-cube . There are 8 unique sterications for the 6-cube with permutations of truncations, cantellations, and runcinations.

  5. Compound of six cubes with rotational freedom - Wikipedia

    en.wikipedia.org/wiki/Compound_of_six_cubes_with...

    4-fold rotational ( C4h ) This uniform polyhedron compound is a symmetric arrangement of 6 cubes, considered as square prisms. It can be constructed by superimposing six identical cubes, and then rotating them in pairs about the three axes that pass through the centres of two opposite cubic faces. Each cube is rotated by an equal (and opposite ...

  6. Rectified 6-cubes - Wikipedia

    en.wikipedia.org/wiki/Rectified_6-cubes

    Rectified 6-cubes. In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube . There are unique 6 degrees of rectifications, the zeroth being the 6-cube, and the 6th and last being the 6-orthoplex. Vertices of the rectified 6-cube are located at the edge-centers of the 6-cube.

  7. 6-cubic honeycomb - Wikipedia

    en.wikipedia.org/wiki/6-cubic_honeycomb

    The 6-cubic honeycomb can be alternated into the 6-demicubic honeycomb, replacing the 6-cubes with 6-demicubes, and the alternated gaps are filled by 6-orthoplex facets. Trirectified 6-cubic honeycomb. A trirectified 6-cubic honeycomb, , contains all birectified 6-orthoplex facets and is the Voronoi tessellation of the D 6 * lattice.

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