Bitruncated hexeract

The bitruncated hexeract, also called the bitruncated 6-cube, is a convex uniform polypeton. 4 bitruncated penteracts and 2 truncated hexatera join at each vertex. As the name suggests, it is the bitruncation of the hexeract.

Vertex coordinates
The coordinates of a bitruncated hexeract are given by all permutations of:
 * $$\left(±\sqrt2,\,±\sqrt2,\,±\sqrt2,\,±\sqrt2,\,±\frac{\sqrt2}{2},\,0\right).$$