Small rhombated hexeract

The small rhombated hexeract, cantellated hexeract, or srox, also called the cantellated 6-cube, is a convex uniform polypeton. It consists of 12 small rhombated penteracts, 64 rectified hexatera, and 192 pentachoric prisms. 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.

The small rhombated hexeract contains the vertices and edges of the truncated penteractic prism, octagonal-truncated tesseractic duoprism, and truncated cubic duoprism.

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