Prismatorhombated hexacontatetrapeton

The prismatorhombated hexacontatetrapeton or prog, also called the runcicantellated hexacontatetrapeton or runcicantellated 6-orthoplex, is a convex uniform polypeton. It consists of 12 bitruncated triacontaditera, 64 prismatorhombated hexatera, 60 truncated hexadecachoric prisms, and 160 triangular-octahedral duoprisms. 1 bitruncated triacontaditeron, 4 prismatorhombated hexatera, 2 truncated hexadecachoric prisms, and 1 triangular-octahedral duoprism join at each vertex. As the name suggests, it is the runcicantellation of the hexacontatetrapeton.

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

Representations
A prismatorhombated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3x3x3o3x (full symmetry)
 * o3x3o *b3x3o3x (D6 symmetry)