Great prismated hexateron

The great prismated hexateron, or gippix, also called the runcicantitruncated 5-simplex, is a convex uniform polyteron. It consists of 20 triangular-hexagonal duoprisms, 15 truncated tetrahedral prisms, 6 small rhombated pentachora, and 6 great prismatodecachora. 2 great prismatodecachora, 1 great rhombated pentachoron, 1 truncated tetrahedral prism, and 1 triangular-hexagonal duoprism join at each vertex. As the name suggests, it is the runcicantitruncation of the hexateron.

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