Truncated 6-simplexes

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.

The vertices of the truncated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,0,0,0,1,2).

The tritruncated 6-simplex is an isotopic uniform polytope, with 14 identical bitruncated 5-simplex facets.