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Cantellated 6-cube
In six-dimensional geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube. There are 8 cantellations for the 6-cube, including truncations. Half of them are more easily constructed from the dual 5-orthoplex. Cantellated 6-cube Alternate names * Cantellated hexeract * Small rhombated hexeract (acronym: srox) (Jonathan Bowers) Images Bicantellated 6-cube Alternate names * Bicantellated hexeract * Small birhombated hexeract (acronym: saborx) (Jonathan Bowers) Images Cantitruncated 6-cube Alternate names * Cantitruncated hexeract * Great rhombihexeract (acronym: grox) (Jonathan Bowers) Images It is fourth in a series of cantitruncated hypercubes: Bicantitruncated 6-cube Alternate names * Bicantitruncated hexeract * Great birhombihexeract (acronym: gaborx) (Jonathan Bowers)Klitzing, (o3o3x3x3x4o - gaborx) Images Related polytopes These polytopes are part of a set of 63 uniform 6-polytopes generated from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
