Small rhombated hexacontatetrapeton

The small rhombated hexacontatetrapeton or cantellated hexacontatetrapeton, also called the cantellated 6-orthoplex, is a convex uniform polypeton. It consists of 64 small rhombated hexatera, 12 rectified triacontaditera, and 60 hexadecachoric prisms. 8 small rhombated hexatera, 1 rectified triacontaditeron, and 2 hexadecachoric prisms join at each vertex. As the name suggests, it is the cantellation of the hexacontatetrapeton.

Vertex coordinates
The coordinates of a small rhombated hexacontatetrapeton are given by all permutations of:
 * $$\left(±\sqrt2,\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,0,\,0\right).$$

Representations
A small rhombated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3o3x3o3x (full symmetry)
 * o3o3o *b3x3o3x (D6 symmetry)