Small birhombated hexeract

The small birhombated hexeract or saborx, also called the bicantellated dodecapeton or bicantellated 6-cube, is a convex uniform polypeton. 3 small birhombated penteracts, 2 small rhombated hexatera, and 2 square-tetrahedral duoprisms join at each vertex. As the name suggests, it is the bicantellation of the dodecapeton.

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