Prismatotruncated hexateron

The prismatotruncated hexateron, or pattix, also called the runcitruncated 5-simplex, is a convex uniform polyteron. It consists of 15 octahedral prisms, 20 triangular-hexagonal duoprisms, 6 small rhombated pentachora, and 6 prismatorhombated pentachora. One small rhombated pentachoron, 1 octahedral prism, 2 prismatorhombated pentachora, and 2 triangular-hexagonal duoprisms join at each vertex. As the name suggests, it is the runcitruncation of the hexateron.

Vertex coordinates
The vertices of a prismatotruncated hexateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * (3$\sqrt{2}$/2, $\sqrt{3}$, $\sqrt{123}$/2, $\sqrt{3}$/2, 0, 0)

Representations
A prismatotruncated hexateron has the following Coxeter diagrams:


 * x3x3o3x3o (full symmetry)
 * xuxx3ooxx3xxxo3ooox&#xt (A4 axial, small rhombated pentachoron-first)