Cantellated 8-simplexes eight-dimensional geometry , a cantellated 8-simplex is a convex uniform 8-polytope , being a cantellation of the regular 8-simplex.unique cantellations for the 8-simplex, including permutations of truncation .Cantellated 8-simplex The Cartesian coordinates of the vertices of the cantellated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the cantellated 9-orthoplex .Images Bicantellated 8-simplex Alternate names Small birhombated enneazettonCoordinates Cartesian coordinates of the vertices of the bicantellated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the bicantellated 9-orthoplex .Images Tricantellated 8-simplex Alternate names Small trirhombihexadecaexonCoordinates tricantellated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the tricantellated 9-orthoplex .Images Cantitruncated 8-simplex Alternate names Great rhombated enneazettonCoordinates cantitruncated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the bicantitruncated 9-orthoplex .Images Bicantitruncated 8-simplex Alternate names Great birhombated enneazettonCoordinates bicantitruncated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the bicantitruncated 9-orthoplex .Images Tricantitruncated 8-simplex Great trirhombated enneazettonCoordinates tricantitruncated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the bicantitruncated 9-orthoplex.Images This polytope is one of 135 uniform 8-polytopes with A8 symmetry.
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