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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.
Contents
Coordinates
The Cartesian coordinates of the vertices of the stericated 8-simplex can be most simply positioned in 8-space as permutations of (0,0,0,0,1,1,1,1,2). This construction is based on facets of the stericated 9-orthoplex.
Coordinates
The Cartesian coordinates of the vertices of the bistericated 8-simplex can be most simply positioned in 8-space as permutations of (0,0,0,1,1,1,1,2,2). This construction is based on facets of the bistericated 9-orthoplex.
Related polytopes
This polytope is one of 135 uniform 8-polytopes with A8 symmetry.