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Truncated 6-orthoplex
In six-dimensional geometry, a truncated 6-orthoplex is a convex uniform 6-polytope, being a Truncation (geometry), truncation of the regular 6-orthoplex. There are 5 degrees of truncation for the 6-orthoplex. Vertices of the truncated 6-orthoplex are located as pairs on the edge of the 6-orthoplex. Vertices of the bitruncated 6-orthoplex are located on the triangular faces of the 6-orthoplex. Vertices of the tritruncated 6-orthoplex are located inside the tetrahedron, tetrahedral cells of the 6-orthoplex. Truncated 6-orthoplex Alternate names * Truncated hexacross * Truncated hexacontatetrapeton (Acronym: tag) (Jonathan Bowers) Construction There are two Coxeter groups associated with the ''truncated hexacross'', one with the C6 or [4,3,3,3,3] Coxeter group, and a lower symmetry with the D6 or [33,1,1] Coxeter group. Coordinates Cartesian coordinates for the vertices of a truncated 6-orthoplex, centered at the origin, are all 120 vertices are sign (4) and coordinate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
6-cube T5
In geometry, a 6-cube is a six-dimensional hypercube with 64 Vertex (geometry), vertices, 192 Edge (geometry), edges, 240 square Face (geometry), faces, 160 cubic Cell (mathematics), 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 language, Greek. It can also be called a regular dodeca-6-tope or dodecapeton, being a 6-polytope, 6-dimensional polytope constructed from 12 regular Facet (geometry), facets. Related polytopes It is a part of an infinite family of polytopes, called hypercubes. The Dual polytope, 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 (geometry), alternation'' operation, deleting alternating vertices of the 6-cube, creates another uniform polytope, called a 6-demicube, (part of an infini ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
