Truncated heptapeton

The truncated heptapeton, or til, also called the truncated 6-simplex, is a convex uniform polypeton. It consists of 7 hexatera and 7 truncated hexatera. 1 hexateron and 5 truncated hexatera join at each vertex. As the name suggests, it is the truncation of the heptapeton.

Vertex coordinates
The vertices of a truncated heptapeton of edge length 1 can be given in seven dimensions as all permutations of:


 * $$\left(\sqrt2,\,\frac{\sqrt2}{2},\,0,\,0,\,0,\,0,\,0\right).$$

Representations
A truncated heptapeton has the following Coxeter diagrams:


 * x3x3o3o3o3o (full symmetry)
 * xux3oox3ooo3ooo3ooo&#xt (A5 axial, hexateron-first)