Stericated 6-cube
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Stericated 6-cube
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. Stericated 6-cube Alternate names * Small cellated hexeract (Acronym: scox) (Jonathan Bowers) Images Steritruncated 6-cube Alternate names * Cellirhombated hexeract (Acronym: catax) (Jonathan Bowers) Images Stericantellated 6-cube Alternate names * Cellirhombated hexeract (Acronym: crax) (Jonathan Bowers) Images Stericantitruncated 6-cube Alternate names * Celligreatorhombated hexeract (Acronym: cagorx) (Jonathan Bowers) Images Steriruncinated 6-cube Alternate names * Celliprismated hexeract (Acronym: copox) (Jonathan Bowers) Images Steriruncitruncated 6-cube Alternate names * Celliprismatotruncated hexeract (Acronym: captix) (Jonathan Bowers) Images Sterirunci ...
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6-cube T0
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 , 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) in Greek. It can also be called a regular dodeca-6-tope or dodecapeton, being a 6-dimensional polytope constructed from 12 regular facets. Related polytopes It is a part of an infinite family of polytopes, called hypercubes. The dual of a 6-cube can be called a 6-orthoplex, and is a part of the infinite family of cross-polytopes. Applying an '' alternation'' operation, deleting alternating vertices of the 6-cube, creates another uniform polytope, called a 6-demicube, (part of an infinite family called demihypercubes), which has 12 5-demicube and 32 5-simplex facets. As a configuration This configuration matrix represents the 6- ...
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