Celliprismatorhombidemihexeract

The celliprismatorhombidemihexeract or caprohax, also called the pentisteriruncic 6-cube or steriruncicantellated 6-demicube, is a convex uniform polypeton. It consists of 12 prismatorhombated demipenteracts, 32 great rhombated hexatera, 32 celligreatorhombated hexatera, 160 hexagonal-tetrahedral duoprisms, and 60 rectified tesseractic prisms. 1 prismatorhombated demipenteract, 1 great rhombated hexateron, 3 celligreatorhombated hexatera, 1 hexagonal-tetrahedral duoprism, and 1 rectified tesseractic prism join at each vertex. As the name suggests, it is the steriruncicantellation of the demihexeract.

Coordinates
The vertex coordinates of a celliprismatorhombidemihexeract, centered at the origin and with unit edge length, are given by all permutations and even sign changes of:
 * $$\left(\frac{7\sqrt8}{8},\,\frac{5\sqrt8}{8},\,\frac{3\sqrt8}{8},\,\frac{\sqrt8}{8},\,\frac{\sqrt8}{8},\,\frac{\sqrt8}{8}\right).$$

Representations
A celliprismatorhombidemihexeract has the following Coxeter diagrams:
 * x3o3o *b3x3x3x (full symmetry)
 * s4o3o3x3x3x (as alternated terigreatorhombated hexacontatetrapeton)