Biprismatorhombated hexeract

The biprismatorhombated hexeract or boprax, also called the biruncitruncated dodecapeton or biruncitruncated 6-cube, is a convex uniform polypeton. It consists of 12 prismatotruncated triacontaditera, 64 prismatorhombated hexatera, 240 square-truncated tetrahedral duoprisms, and 160 triangular-cuboctahedral duoprisms. 2 prismatotruncated triacontaditera, 2 prismatorhombated hexatera, 2 square-truncated tetrahedral duoprisms, and 1 triangular-cuboctahedral duoprism join at each vertex. As the name suggests, it is the biruncitruncation of the hexeract.

Coordinates
The vertex coordinates of a biprismatorhombated hexeract, centered at the origin and with unit edge length, are given by all permutations of:
 * $$\left(±\frac{3\sqrt2}{2},\,±\frac{3\sqrt2}{2},\,±\sqrt2,\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0\right).$$

Representations
A birectified hexeract has the following Coxeter diagrams:
 * o4x3o3x3x3o (full symmetry)
 * x3o3x *b3x3x3o (D6 symmetry)