Biprismatorhombated hexacontatetrapeton

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

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

Representations
A biprismatorhombated hexacontatetrapeton has the following Coxeter diagrams:
 * o4x3x3o3x3o (full symmetry)
 * x3x3x *b3o3x3o (D6 symmetry)