Truncated hexacontatetrapeton

The truncated hexacontatetrapeton or tag, also called the truncated 6-orthoplex, is a convex uniform polypeton. It consists of 64 truncated hexatera and 12 triacontaditera. 16 truncated hexatera and 1 triacontaditeron join at each vertex. As the name suggests, it is the truncation of the hexacontatetrapeton.

Vertex coordinates
The vertices of a truncated hexacontatetrapeton of edge length 1 are given by all permutations of:
 * $$\left(±\sqrt2,\,±\frac{\sqrt2}{2},\,0,\,0,\,0,\,0\right).$$

Representations
A truncated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3o3o3x3x (full symmetry)
 * o3o3o *b3o3x3x (D6 symmetry)