Cellirhombidodecateron

The cellirhombated dodecateron, or card, also called the stericantellated 5-simplex, is a convex uniform polyteron. It consists of 20 triangular duoprisms, 30 cuboctahedral prisms, and 12 small rhombated pentachora. 1 triangular duoprism, 2 small rhombated pentachora, and 4 cuboctahedral prisms join at each vertex. As the name suggests, it is the stericantellation of the hexateron.

Vertex coordinates
The vertices of a cellirhombated dodecateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * (3$\sqrt{2}$/2, $\sqrt{1}$, $\sqrt{3}$, $\sqrt{10}$/2, $\sqrt{5}$/2, 0)

Representations
A cellirhombated dodecateron has the following Coxeter diagrams:


 * x3o3x3o3x (full symmetry)
 * xxxo3xxoo3ooxx3oxxx&#xt (A4 axial, small rhombated pentachoron-first)