Great rhombated hexateron

The great rhombated hexateron, or garx, also called the cantitruncated 5-simplex, is a convex uniform polyteron. It consists of 15 tetrahedral prisms, 6 truncated pentachora, and 6 great rhombated pentachora. One truncated pentachoron, 1 tetrahedral prism, and 3 great rhombated pentachora join at each vertex. As the name suggests, it is the cantitruncation of the hexateron.

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

Representations
A great rhombated hexateron has the following Coxeter diagrams:


 * x3x3x3o3o (full symmetry)
 * xuxx3xxux3ooox3oooo&#xt (A4 axial, truncated pentachoron-first)