Prismatorhombated hexateron

The prismatorhombated hexateron, or pirx, also called the runcicantellated 5-simplex, is a convex uniform polyteron. It consists of 20 triangular duoprisms, 15 truncated tetrahedral prisms, 6 decachora, and 6 prismatorhombated pentachora. 2 prismatorhombated pentachora, 1 decachoron, 1 triangular duoprism, and 2 truncated tetrahedral prisms join at each vertex. As the name suggests, it is the runcicantellation of the hexateron.

Vertex coordinates
The vertices of a prismatorhombated hexateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * $$\left(\frac{3\sqrt2}{2},\,\sqrt2,\,\sqrt2,\,\frac{\sqrt2}{2},\,0,\,0\right).$$

Representations
A prismatorhombated hexateron has the following Coxeter diagrams:


 * x3o3x3x3o (full symmetry)
 * oxxx3xxoo3xxux3ooox&#xt (A4 axial, decachoron-first)

Related polytopes
The prismatorhombated hexateron is the colonel of a three-member regiment that also includes the retroprismatorhombated hexateron and lepidoprismatorhombated hexateron.