Great cellidodecateron

The celliprismatotruncated dodecateron, or captid, also called the steriruncitruncated 5-simplex, is a convex uniform polyteron. It consists of 30 truncated tetrahedral prisms, 20 hexagonsl duoprisms, and 12 prismatorhombated pentachora. 2 prismatorhombated pentachora, 2 truncated tetrahedral prisms, and 2 hexagonal duoprisms join at each vertex. As the name suggests, it is the steriruncitruncation of the hexateron.

Vertex coordinates
The vertices of a celliprismatotruncated dodecateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * (2$\sqrt{2}$, 3$\sqrt{3}$/2, $\sqrt{35}$, $\sqrt{3}$, $\sqrt{10}$/2, 0)

Representations
A celliprismatotruncated dodecateron has the following Coxeter diagrams:


 * x3x3o3x3x (full symmetry)
 * xxxux3xxxoo3ooxxx3xuxxx&#xt (A4 axial, prismatorhombated pentachoron-first)