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Rectified 9-orthoplex
In nine-dimensional geometry, a rectified 9-simplex is a convex uniform 9-polytope, being a rectification of the regular 9-orthoplex. There are 9 rectifications of the 9-orthoplex. Vertices of the rectified 9-orthoplex are located at the edge-centers of the 9-orthoplex. Vertices of the birectified 9-orthoplex are located in the triangular face centers of the 9-orthoplex. Vertices of the trirectified 9-orthoplex are located in the tetrahedral cell centers of the 9-orthoplex. These polytopes are part of a family 511 uniform 9-polytopes with BC9 symmetry. Rectified 9-orthoplex The ''rectified 9-orthoplex'' is the vertex figure for the demienneractic honeycomb. : or Alternate names * rectified enneacross (Acronym riv) (Jonathan Bowers) Construction There are two Coxeter groups associated with the ''rectified 9-orthoplex'', one with the C9 or ,37Coxeter group, and a lower symmetry with two copies of 8-orthoplex facets, alternating, with the D9 or 6,1,1Coxeter group. C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
9-cube T8
In geometry, a 9-cube is a nine-dimensional hypercube with 512 Vertex (geometry), vertices, 2304 Edge (geometry), edges, 4608 square Face (geometry), faces, 5376 cube, cubic Cell (mathematics), cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces. It can be named by its Schläfli symbol , being composed of three 8-cubes around each 7-face. It is also called an enneract, a portmanteau of tesseract (the ''4-cube'') and ''enne'' for nine (dimensions) in Greek language, Greek. It can also be called a regular octadeca-9-tope or octadecayotton, as a 9-polytope, nine-dimensional polytope constructed with 18 regular Facet (geometry), facets. It is a part of an infinite family of polytopes, called hypercubes. The Dual polytope, dual of a 9-cube can be called a 9-orthoplex, and is a part of the infinite family of cross-polytopes. Cartesian coordinates Cartesian coordinates for the vertices of a 9-cube centered at the origin a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
