Cellirhombidemihexeract

The cellirhombidemihexeract or crohax, also called the pentiruncic 6-cube or stericantellated 6-demicube, is a convex uniform polypeton. It consists of 12 small rhombated demipenteracts, 32 small rhombated hexatera, 32 cellirhombidodecatera, 160 triangular-tetrahedral duoprisms, and 60 rectified tesseractic prisms. 1 small rhombated demipenteract, 1 small rhombated hexateron, 3 cellirhombidodecatera, 1 triangular-tetrahedral duoprism, and 2 rectified tesseractic prisms join at each vertex. As the name suggests, it is the stericantellation of the demihexeract.

Coordinates
The vertex coordinates of a cellirhombidemihexeract, centered at the origin and with unit edge length, are given by all permutations and even sign changes of:
 * $$\left(\frac{5\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right).$$

Representations
A cellirhombidemihexeract has the following Coxeter diagrams:
 * x3o3o *b3x3o3x (full symmetry)
 * s4o3o3x3o3x (as alternated teriprismated hexeract)