Hexeractihexacontatetrapeton

The hexeractihexacontatetrapeton, tritruncated hexeract, tritruncated hexacontatetrapeton, or xog, also called the tritruncated 6-cube or tritruncated 6-orthoplex, is a convex uniform polypeton. It consists of 12 bitruncated triacontaditera and 64 bitruncated hexatera. 3 bitruncated triacontaditera and 4 bitruncated hexatera join at each vertex. As the name suggests, it is the tritruncation of either the hexeract or its dual hexacontatetrapeton.

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

Representations
A hexeractihexacontatetrapeton has the following Coxeter diagrams:
 * o4o3x3x3o3o (full symmetry)
 * o3x3o *b3x3o3o (D6 symmetry)