Runcinated 8-simplexes eight-dimensional geometry , a runcinated 8-simplex convex uniform 8-polytope with 3rd order truncations of the regular 8-simplex. eleven unique runcinations of the 8-simplex, including permutations of truncation and cantellation. The triruncinated 8-simplex and triruncicantitruncated 8-simplex have a doubled symmetry , showing order reflectional symmetry in the A8 Coxeter plane. Runcinated enneazetton Small prismated enneazettonCoordinates Cartesian coordinates of the vertices of the runcinated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the runcinated 9-orthoplex .Images Biruncinated 8-simplex Alternate names Biruncinated enneazetton Small biprismated enneazettonCoordinates coordinates of the vertices of the biruncinated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the biruncinated 9-orthoplex .Images Triruncinated 8-simplex Alternate names Triruncinated enneazetton Small triprismated enneazettonCoordinates triruncinated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the triruncinated 9-orthoplex .Images Runcitruncated 8-simplex Images Biruncitruncated 8-simplex Images Triruncitruncated 8-simplex Images Runcicantellated 8-simplex Images Biruncicantellated 8-simplex Images Runcicantitruncated 8-simplex Images Biruncicantitruncated 8-simplex Images Triruncicantitruncated 8-simplex Images This polytope is one of 135 uniform 8-polytopes with A8 symmetry.
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