Truncated 7-simplexes
In seven-dimensional geometry, a truncated 7-simplex is a convex uniform 7-polytope, being a truncation of the regular 7-simplex.
There are unique 3 degrees of truncation. Vertices of the truncation 7-simplex are located as pairs on the edge of the 7-simplex. Vertices of the bitruncated 7-simplex are located on the triangular faces of the 7-simplex. Vertices of the tritruncated 7-simplex are located inside the tetrahedral cells of the 7-simplex.
Truncated 7-simplex
In seven-dimensional geometry, a truncated 7-simplex is a convex uniform 7-polytope, being a truncation of the regular 7-simplex.Alternate names
- Truncated octaexon
Coordinates
The vertices of the truncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the truncated 8-orthoplex.Bitruncated 7-simplex
Alternate names
- Bitruncated octaexon
Coordinates
The vertices of the bitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bitruncated 8-orthoplex.Tritruncated 7-simplex
Alternate names
- Tritruncated octaexon