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Cantellated 8-simplex
In eight-dimensional geometry, a cantellated 8-simplex is a convex uniform 8-polytope, being a cantellation of the regular 8-simplex. There are six unique cantellations for the 8-simplex, including permutations of truncation. Cantellated 8-simplex Alternate names * Small rhombated enneazetton (acronym: srene) (Jonathan Bowers) Coordinates The Cartesian coordinates of the vertices of the ''cantellated 8-simplex'' can be most simply positioned in 9-space as permutations of (0,0,0,0,0,0,1,1,2). This construction is based on facets of the cantellated 9-orthoplex. Images Bicantellated 8-simplex Alternate names * Small birhombated enneazetton (acronym: sabrene) (Jonathan Bowers) Coordinates The Cartesian coordinates of the vertices of the ''bicantellated 8-simplex'' can be most simply positioned in 9-space as permutations of (0,0,0,0,0,1,1,2,2). This construction is based on facets of the bicantellated 9-orthoplex. Images Tricantellated 8-simplex Alternate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
8-simplex T02
In geometry, an 8-simplex is a self-dual Regular polytope, regular 8-polytope. It has 9 vertex (geometry), vertices, 36 Edge (geometry), edges, 84 triangle Face (geometry), faces, 126 tetrahedral Cell (mathematics), cells, 126 5-cell 4-faces, 84 5-simplex 5-faces, 36 6-simplex 6-faces, and 9 7-simplex 7-faces. Its dihedral angle is cos−1(1/8), or approximately 82.82°. It can also be called an enneazetton, or ennea-8-tope, as a 9-facet (geometry), facetted polytope in eight-dimensions. The 5-polytope#A note on generality of terms for n-polytopes and elements, name ''enneazetton'' is derived from ''ennea'' for nine Facet (mathematics), facets in Greek language, Greek and Zetta, ''-zetta'' for having seven-dimensional facets, and ''-on''. As a configuration This Regular 4-polytope#As configurations, configuration matrix represents the 8-simplex. The rows and columns correspond to vertices, edges, faces, cells, 4-faces, 5-faces, 6-faces and 7-faces. The diagonal numbers say how man ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
