Small cellidodecateron

The small cellidodecateron, or scad, also called the small cellated hexateron or stericated 5-simplex, is a convex uniform polyteron. It consists of 12 regular pentachora, 30 tetrahedral prisms, and 20 triangular duoprisms. 2 pentachora, 8 tetrahedral prisms, and 6 triangular duoprisms join at each vertex. It can be formed by expanding the facets of the hexateron outward.

Vertex coordinates
The vertices of a small cellated dodecateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * $$\left(\sqrt2,\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,0\right).$$

Representations
A small cellated dodecateron has the following Coxeter diagrams:


 * x3o3o3o3x (full symmetry)
 * xxo3ooo3ooo3oxx&#xt (A4 axial, pentachoron-first)
 * x(xo)o3o(xo)x x(ox)o3o(ox)x&#xt (A2×A2 axial, triangular duoprism-first)
 * x(uo)x x(ox)o3o(oo)o3o(ox)x&#xt (A3×A1 axial, tetrahedral prism-first)

Related polytopes
The small cellidodecateron is the colonel of a regiment with 11 members. Of these 11, 7 have full symmetry, while the other 4 have single A5 symmetry only.