8-simplex - meaning and definition. What is 8-simplex
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What (who) is 8-simplex - definition


8-simplex         
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CONVEX REGULAR 8-POLYTOPE
Enneazetton; 0 70 polytope; Ennea-8-tope
In geometry, an 8-simplex is a self-dual regular 8-polytope. It has 9 vertices, 36 edges, 84 triangle faces, 126 tetrahedral cells, 126 5-cell 4-faces, 84 5-simplex 5-faces, 36 6-simplex 6-faces, and 9 7-simplex 7-faces.
Stericated 8-simplexes         
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In eight-dimensional geometry, a stericated 8-simplex is a convex uniform 8-polytope with 4th order truncations (sterication) of the regular 8-simplex. There are 16 unique sterications for the 8-simplex including permutations of truncation, cantellation, and runcination.
Runcinated 8-simplexes         
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In eight-dimensional geometry, a runcinated 8-simplex is a convex uniform 8-polytope with 3rd order truncations (runcination) of the regular 8-simplex.