Hexeractihexacontatetrapeton

The hexeractihexacontatetrapeton, tritruncated hexeract, or tritruncated hexacontatetrapeton, also called the tritruncated 6-cube or tritruncated 6-orthoplex, is a convex uniform polypeton. 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 coordinates of a hexeractihexacontatetrapeton are given by all permutations of:
 * $$\left(±\sqrt2,\,±\sqrt2,\,±\sqrt2,\,±\frac{\sqrt2}{2},\,0,\,0\right).$$