Small biprismated hexeract

The small biprismated hexeract or sobpoxog, also called the biruncinated dodecapeton or biruncinated 6-cube, is a convex uniform polypeton. 2 small prismated triacontaditera, 2 small prismated hexatera, 3 square-octahedral duoprisms, and 3 triangular-cuboctahedral duoprisms join at each vertex. As the name suggests, it is the biruncination of the hexeract.

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