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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.
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.
The Cartesian coordinates for the 480 vertices of a cantic 6-cube centered at the origin and edge length 6 √ 2 are coordinate permutations: (±1,±1,±3,±3,±3,±3) with an odd number of plus signs.
Get organizers for all of your Christmas decorations on sale now for as low as $10 AOL This foldable storage shelf is on sale for under $60: 'It is like a magic act'
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.
In six-dimensional geometry, a runcinated 6-cube is a convex uniform 6-polytope with 3rd order truncations (runcination) of the regular 6-cube. There are 12 unique runcinations of the 6-cube with permutations of truncations, and cantellations. Half are expressed relative to the dual 6-orthoplex.
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