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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. It can be called a hexeract, a portmanteau of tesseract (the 4-cube) with hex for six (dimensions ...
Full snub 6-cube. The full snub 6-cube or omnisnub 6-cube, defined as an alternation of the omnitruncated 6-cube is not uniform, but it can be given Coxeter diagram and symmetry [4,3,3,3,3] +, and constructed from 12 snub 5-cubes, 64 snub 5-simplexes, 60 snub tesseract antiprisms, 192 snub 5-cell antiprisms, 160 3-sr{4,3} duoantiprisms, 240 4-s{3,4} duoantiprisms, and 23040 irregular 5 ...
Dual. self-dual. Properties. vertex-transitive, edge-transitive, face-transitive, cell-transitive. The 6-cubic honeycomb or hexeractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 6-space. It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space.
Apple TV+ is rounding out the cast of the upcoming drama series “Firebug” with four new additions. Greg Kinnear (“As Good as It Gets,” “Little Miss Sunshine”), Rafe Spall (“Trying ...
Hypercubic honeycomb. In geometry, a hypercubic honeycomb is a family of regular honeycombs ( tessellations) in n - dimensional spaces with the Schläfli symbols {4,3...3,4} and containing the symmetry of Coxeter group Rn (or B~n–1) for n ≥ 3 . The tessellation is constructed from 4 n - hypercubes per ridge. The vertex figure is a cross ...
Compound of six cubes. A compound of six cubes has two forms. One form is a symmetric arrangement of six cubes, considered as square prisms. It is a special case of the compound of six cubes with rotational freedom . Another form is not related to a compound of six cubes with rotational freedom. [1]
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