Bitruncated hexeract

The bitruncated hexeract or botox, also called the bitruncated 6-cube, is a convex uniform polypeton. It consists of 12 bitruncated penteracts and 64 truncated hexatera. 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:
 * $$\left(±\sqrt2,\,±\sqrt2,\,±\sqrt2,\,±\sqrt2,\,±\frac{\sqrt2}{2},\,0\right).$$

Representations
A bitruncated hexeract has the following Coxeter diagrams:
 * o4x3x3o3o3o (full symmetry)
 * x3x3x *b3o3o3o (D6 symmetry)