Truncated 6-simplexes
In six-dimensional geometry, a truncated 6-simplex is a convex uniform 6-polytope, being a truncation of the regular 6-simplex.
There are unique 3 degrees of truncation. Vertices of the truncation 6-simplex are located as pairs on the edge of the 6-simplex. Vertices of the bitruncated 6-simplex are located on the triangular faces of the 6-simplex. Vertices of the tritruncated 6-simplex are located inside the tetrahedral cells of the 6-simplex.
Truncated 6-simplex
Alternate names
- Truncated heptapeton
Coordinates
The vertices of the truncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the truncated 7-orthoplex.Bitruncated 6-simplex
Alternate names
- Bitruncated heptapeton
Coordinates
The vertices of the bitruncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the bitruncated 7-orthoplex.Tritruncated 6-simplex
The tritruncated 6-simplex is an isotopic uniform polytope, with 14 identical bitruncated 5-simplex facets.The tritruncated 6-simplex is the intersection of two 6-simplexes in dual configuration: and.
Alternate names
- Tetradecapeton