Great birhombidodecateron

The great birhombidodecateron, or gibrid, also called the great birhombated hexateron or bicantitruncated 5-simplex, is a convex uniform polyteron. It consists of 20 triangular duoprisms and 12 great rhombated pentachora. 1 triangular duoprism and 4 great rhombated pentachora join at each vertex. As the name suggests, it is the bicantitruncation of the hexateron. It is also the truncated dodecateron.

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

Representations
A great birhombidodecateron has the following Coxeter diagrams:


 * o3x3x3x3o (full symmetry)
 * xooo3xuxx3xxux3ooox&#xt (A4 axial, great rhombated pentachoron-first)