Small rhombated hexeract

The small rhombated hexeract or cantellated hexeract, also called the cantellated 6-cube, is a convex uniform polypeton. 4 small rhombated penteracts, 1 rectified hexateron, and 2 pentachoric prisms join at each vertex. As the name suggests, it is the cantellation of the hexeract.

Vertex coordinates
The coordinates of a small rhombated hexeract are given by all permutations of:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12\right).$$