Celliprismatodemihexeract

The celliprismatodemihexeract or cophix, also called the pentisteric 6-cube or steriruncinated 6-demicube, is a convex uniform polypeton. It consists of 12 small prismated demipenteracts, 32 truncated hexatera, 32 celliprismated hexatera, 160 hexagonal-tetrahedral duoprisms, and 60 hexadecachoric prisms. 1 small prismated demipenteract, 1 truncated hexateron, 4 celliprismated hexatera, 4 hexagonal-tetrahedral duoprisms, and 1 hexadecachoric prism join at each vertex. As the name suggests, it is the steriruncination of the demihexeract.

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

Representations
A celliprismatodemihexeract has the following Coxeter diagrams:
 * x3o3o *b3o3x3x (full symmetry)
 * s4o3o3o3x3x (as alternated tericellated hexeract)