Small rhombated heptapeton

The small rhombated heptapeton or sril, also called the cantellated heptapeton or cantellated 6-simplex, is a convex uniform polypeton. It consists of 7 rectified hexatera, 7 small rhombated hexatera, and 21 pentachoric prisms. 1 rectified hexateron, 4 small rhombated hexatera, and 2 pentachoric prisms join at each vertex. As the name suggests, it is the cantellation of the heptapeton.

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


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

REpresentations
A small rhombated eptapeton has the following Coxeter diagrams:


 * x3o3x3o3o3o (full symmetry)
 * oxx3xxo3oox&#xt (A5 axial, rectified hexateron-first)

Related polytopes
The small rhombated heptapeton is the colonel of a regiment of 31 members.