Cantellated 6-simplexes
In six-dimensional geometry, a cantellated 6-simplex is a convex uniform 6-polytope, being a cantellation of the regular 6-simplex.
There are unique 4 degrees of cantellation for the 6-simplex, including truncations.
Cantellated 6-simplex
Alternate names
- Small rhombated heptapeton
Coordinates
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.Bicantellated 6-simplex
Alternate names
- Small prismated heptapeton
Coordinates
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.Cantitruncated 6-simplex
Alternate names
- Great rhombated heptapeton
Coordinates
The vertices of the 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.Bicantitruncated 6-simplex
Alternate names
- Great birhombated heptapeton