Runcinated 8-simplexes
In eight-dimensional geometry, a runcinated 8-simplex is a convex uniform 8-polytope with 3rd order truncations of the regular 8-simplex.
There are eleven unique runcinations of the 8-simplex, including permutations of truncation and cantellation. The triruncinated 8-simplex and triruncicantitruncated 8-simplex have a doubled symmetry, showing order reflectional symmetry in the A8 Coxeter plane.
Runcinated 8-simplex
Alternate names
- Runcinated enneazetton
- Small prismated enneazetton
Coordinates
The Cartesian coordinates of the vertices of the runcinated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the runcinated 9-orthoplex.Biruncinated 8-simplex
Alternate names
- Biruncinated enneazetton
- Small biprismated enneazetton
Coordinates
The Cartesian coordinates of the vertices of the biruncinated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the biruncinated 9-orthoplex.Triruncinated 8-simplex
Alternate names
- Triruncinated enneazetton
- Small triprismated enneazetton