Prismatotruncated hexacontatetrapeton

The prismatotruncated hexacontatetrapeton or potag, also called the runcitruncated hexacontatetrapeton or runcitruncated 6-orthoplex, is a convex uniform polypeton. It consists of 12 small rhombated triacontaditera, 64 prismatotruncated hexatera, 60 icositetrachoric prisms, and 160 hexagonal-octahedral duoprisms. 1 small rhombated triacontaditeron, 4 prismatotruncated hexatera, 1 icositetrachoric prism, and 2 hexagonal-octahedral duoprisms join at each vertex. As the name suggests, it is the runcitruncation of the hexacontatetrapeton.

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

Representations
A prismatotruncated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3x3o3x3x (full symmetry)
 * o3x3o *b3o3x3x (D6 symmetry)