Cantellated 7-simplexes
In seven-dimensional geometry, a cantellated 7-simplex is a convex uniform 7-polytope, being a cantellation of the regular 7-simplex.
There are unique 6 degrees of cantellation for the 7-simplex, including truncations.
Cantellated 7-simplex
Alternate names
- Small rhombated octaexon
Coordinates
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.Bicantellated 7-simplex
Alternate names
- Small birhombated octaexon
Coordinates
The vertices of the 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.Tricantellated 7-simplex
Alternate names
- Small trirhombihexadecaexon
Coordinates
The vertices of the 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.Cantitruncated 7-simplex
Alternate names
- Great rhombated octaexon
Coordinates
The vertices of the 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.Bicantitruncated 7-simplex
Alternate names
- Great birhombated octaexon
Coordinates
The vertices of the 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.Tricantitruncated 7-simplex
Alternate names
- Great trirhombihexadecaexon