Great birhombated hexeract

The great birhombated hexeract or gaborx, also called the bicantitruncated dodecapeton or bicantitruncated 6-cube, is a convex uniform polypeton. 3 great birhombated penteracts, 2 great rhombated hexatera, and 1 square-tetrahedral duoprism join at each vertex. As the name suggests, it is the bicantitruncation of the hexeract.

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