Cantellated 8-simplexes
In eight-dimensional geometry, a cantellated 8-simplex is a convex uniform 8-polytope, being a cantellation of the regular 8-simplex.
There are six unique cantellations for the 8-simplex, including permutations of truncation.
Cantellated 8-simplex
Alternate names
- Small rhombated enneazetton
Coordinates
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.Bicantellated 8-simplex
Alternate names
- Small birhombated enneazetton
Coordinates
The 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.Tricantellated 8-simplex
Alternate names
- Small trirhombihexadecaexon
Coordinates
The Cartesian coordinates of the vertices of the 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.Cantitruncated 8-simplex
Alternate names
- Great rhombated enneazetton
Coordinates
The Cartesian coordinates of the vertices of the 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.Bicantitruncated 8-simplex
Alternate names
- Great birhombated enneazetton
Coordinates
The Cartesian coordinates of the vertices of the 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.Tricantitruncated 8-simplex
- Great trirhombated enneazetton