Cantellated 6-simplexes six-dimensional geometry , a cantellated 6-simplex is a convex uniform 6-polytope , being a cantellation of the regular 6-simplex.unique 4 degrees of cantellation for the 6-simplex, including truncations.Cantellated 6-simplex The vertices of the cantellated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the cantellated 7-orthoplex .Images Bicantellated 6-simplex Alternate names The vertices of the bicantellated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the bicantellated 7-orthoplex .Images Cantitruncated 6-simplex Alternate names Great rhombated heptapetonCoordinates cantitruncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the cantitruncated 7-orthoplex .Images Bicantitruncated 6-simplex Alternate names Great birhombated heptapetonCoordinates bicantitruncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the bicantitruncated 7-orthoplex .Images The truncated 6-simplex is one of 35 uniform 6-polytopes based on the Coxeter group , all shown here in A6 Coxeter plane orthographic projections .
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