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Trirectified 7-orthoplex
In seven-dimensional geometry, a rectified 7-orthoplex is a convex uniform 7-polytope, being a Rectification (geometry), rectification of the regular 7-orthoplex. There are unique 7 degrees of rectifications, the zeroth being the 7-orthoplex, and the 6th and last being the 7-cube. Vertices of the rectified 7-orthoplex are located at the edge-centers of the 7-orthoplex. Vertices of the birectified 7-orthoplex are located in the triangular face centers of the 7-orthoplex. Vertices of the trirectified 7-orthoplex are located in the tetrahedron, tetrahedral cell centers of the 7-orthoplex. Rectified 7-orthoplex The ''rectified 7-orthoplex'' is the vertex figure for the demihepteractic honeycomb. The rectified 7-orthoplex's 84 vertices represent the kissing number of a sphere-packing constructed from this honeycomb. : or Alternate names * rectified heptacross * rectified hecatonicosoctaexon (Acronym rez) (Jonathan Bowers) - rectified 128-faceted polyexon Images Constructio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
7-cube T6
In geometry, a 7-cube is a seven-dimensional space, seven-dimensional hypercube with 128 Vertex (geometry), vertices, 448 Edge (geometry), edges, 672 square Face (geometry), faces, 560 cubic Cell (mathematics), cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces. It can be named by its Schläfli symbol , being composed of 3 6-cubes around each 5-face. It can be called a hepteract, a portmanteau of tesseract (the ''4-cube'') and ''hepta'' for seven (dimensions) in Greek language, Greek. It can also be called a regular tetradeca-7-tope or tetradecaexon, being a 7-polytope, 7 dimensional polytope constructed from 14 regular Facet (geometry), facets. Related polytopes The ''7-cube'' is 7th in a series of hypercube: The Dual polytope, dual of a 7-cube is called a 7-orthoplex, and is a part of the infinite family of cross-polytopes. Applying an ''Alternation (geometry), alternation'' operation, deleting alternating vertices of the hepteract, creates anoth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
