Cantellated 7-simplexes seven-dimensional geometry , a cantellated 7-simplex is a convex uniform 7-polytope , being a cantellation of the regular 7-simplex.unique 6 degrees of cantellation for the 7-simplex, including truncations.Cantellated 7-simplex The vertices of the cantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the cantellated 8-orthoplex .Images Bicantellated 7-simplex Alternate names Small birhombated octaexonCoordinates bicantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bicantellated 8-orthoplex .Images Tricantellated 7-simplex Alternate names Small trirhombihexadecaexonCoordinates tricantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the tricantellated 8-orthoplex .Images Cantitruncated 7-simplex Alternate names Great rhombated octaexonCoordinates cantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the cantitruncated 8-orthoplex .Images Bicantitruncated 7-simplex Alternate names Great birhombated octaexonCoordinates bicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bicantitruncated 8-orthoplex .Images Tricantitruncated 7-simplex Alternate names Great trirhombihexadecaexonCoordinates tricantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the tricantitruncated 8-orthoplex .Images This polytope is one of 71 uniform 7-polytopes with A7 symmetry.
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