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Cantellated 6-simplex
In six-dimensional geometry, a cantellated 6-simplex is a convex uniform 6-polytope, being a cantellation of the regular 6-simplex. There are unique 4 degrees of cantellation for the 6-simplex, including truncations. Cantellated 6-simplex Alternate names * Small rhombated heptapeton (Acronym: sril) (Jonathan Bowers) Coordinates The vertices of the ''cantellated 6-simplex'' can be most simply positioned in 7-space as permutations of (0,0,0,0,1,1,2). This construction is based on Facet (geometry), facets of the cantellated 7-orthoplex. Images Bicantellated 6-simplex Alternate names * Small prismated heptapeton (Acronym: sabril) (Jonathan Bowers) Coordinates The vertices of the ''bicantellated 6-simplex'' can be most simply positioned in 7-space as permutations of (0,0,0,1,1,2,2). This construction is based on Facet (geometry), facets of the bicantellated 7-orthoplex. Images Cantitruncated 6-simplex Alternate names * Great rhombated heptapeton (Acronym: gr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
6-simplex T0
In geometry, a 6-simplex is a Duality (mathematics), self-dual Regular polytope, regular 6-polytope. It has 7 vertex (geometry), vertices, 21 Edge (geometry), edges, 35 triangle Face (geometry), faces, 35 Tetrahedron, tetrahedral Cell (mathematics), cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces. Its dihedral angle is cos−1(1/6), or approximately 80.41°. Alternate names It can also be called a heptapeton, or hepta-6-tope, as a 7-facet (geometry), facetted polytope in 6-dimensions. The 5-polytope#A note on generality of terms for n-polytopes and elements, name ''heptapeton'' is derived from ''hepta'' for seven Facet (mathematics), facets in Greek language, Greek and Peta-, ''-peta'' for having five-dimensional facets, and ''-on''. Jonathan Bowers gives a heptapeton the acronym hop. As a configuration This Regular 4-polytope#As configurations, configuration matrix represents the 6-simplex. The rows and columns correspond to vertices, edges, faces, cells, 4-faces and 5-face ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
