Small teritetradecapeton

The small teritetradecapeton or staf, also called the pentellated heptapeton or pentellated 6-simplex, is a convex uniform polypeton. It consists of 14 hexatera, 42 pentachoric prisms, and 70 triangular-tetrahedral duoprisms. 2 hexatera, 10 pentachoric prisms, and 20 triangular-tetrahedral duoprisms join at each vertex. As the name suggests, it is the pentellation of the heptapeton. It can be constructed by expanding the facets of the heptapeton outward and filling in the gaps with new facets.

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


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

Representations
A small teritetradecapeton has the following Cooxeter diagrams:


 * x3o3o3o3o3x (full symmetry)
 * xxo3ooo3ooo3ooo3oxx&#xt (A5 axial, hexateron-first)
 * x(xo)o3o(xo)x x(ox)o3o(oo)o3o(ox)x&#xt (A3×A2 axial, triangular-tetrahedral duoprism first)

Related polytopes
The small teritetradecapeton is the colonel of a regiment of 19 members.