Small cellated heptapeton

The small cellated heptapeton or scal, also called the stericated heptapeton or stericated 6-simplex, is a convex uniform polypeton. It consists of 7 rectified hexatera, 7 small cellidodecatera, 21 rectified pentachoric prisms, 35 triangular-tetrahedral duoprisms, and 35 triangular-octahedral duoprisms. 1 rectified hexateron, 2 small cellidodecatera, 4 rectified pentachoric prisms, 4 triangular-tetrahedral duoprisms, and 6 triangular-octahedral duoprisms join at each vertex. As the name suggests, it is the sterication of the heptapeton.

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


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

Representations
A small cellated heptapeton has the following Coxeter diagrams:


 * x3o3o3o3x3o (full symmetry)
 * oox3xxo3ooo3ooo3oxx&#xt (A5 axial, rectified hexateron-first)

Related polytopes
The small cellated heptapeton is the colonel of a regiment with 125 uniform members plus 11 fissaries.