Celliprismated hexateron

The celliprismated hexateron, or cappix, also called the steritruncated 5-simplex, is a convex uniform polyteron. It consists of 15 tetrahedral prisms, 20 triangular-hexagonal duoprisms, 15 truncated tetrahedral prisms, 6 truncated pentachora, and 6 small prismatodecachora. One small prismatodecachoron, 1 tetrahedral prism, 1 truncated pentachoron, 3 truncated tetrahedral prisms, and 3 triangular-hexagonal duoprisms join at each vertex. As the name suggests, it is the steritruncation of the hexateron.

Vertex coordinates
The vertices of a celliprismated hexateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * (3$\sqrt{2}$/2, $\sqrt{3}$, $\sqrt{6}$/2, $\sqrt{3}$/2, $\sqrt{10}$/2, 0)

Representations
A celliprismated hexateron has the following Coxeter diagrams:


 * x3x3o3o3x (full symmetry)
 * xuxx3ooxx3oooo3xxxo&#xt (A4 axial, small prismatodecachoron-first)