Truncated demihexeract

The truncated demihexeract or thax, also called the cantic 6-cube or truncated 6-demicube, is a convex uniform polypeton. It consists of 12 truncated demipenteracts, 32 rectified hexatera, and 32 truncated hexatera. 4 truncated demipenteracts, 1 rectified hexateron, and 2 truncated hexatera join at each vertex. As the name suggests, it is the truncation of the demihexeract.

Coordinates
The vertex coordinates of a truncated demihexeract, centered at the origin and with unit edge length, are given by all permutations, with an odd number of sign changes, of:
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4}\right).$$

Representations
A truncated demihexeract has the following Coxeter diagrams:
 * x3x3o *b3o3o3o (full symmetry)
 * s4o3x3o3o3o (as alternated small rhombated hexeract)