Great rhombated hexacontatetrapeton

The great rhombated hexacontatetrapeton or grog, also called the cantitruncated hexacontatetrapeton or cantitruncated 6-orthoplex, is a convex uniform polypeton. It consists of 12 truncated triacontaditera, 64 great rhombated hexatera, and 60 hexadecachoric prisms. 1 truncated triacontaditeron, 8 great rhombated hexatera, and 1 hexadecachoric prism join at each vertex. As the name suggests, it is the cantitruncation of the hexacontatetrapeton.

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

Representations
A great rhombated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3o3x3x3x (full symmetry)
 * o3o3o *b3x3x3x (D6 symmetry)