Great cellidemihexeract

The great cellidemihexeract or gochax, also called the pentisteriruncicantic 6-cube or steriruncicantitruncated 6-demicube, is a convex uniform polypeton. It consists of 12 great prismated demipenteracts, 32 great prismated hexatera, 32 great cellidodecatera, 160 hexagonal-truncated tetrahedral duoprisms, and 60 tesseractihexadecachoric prisms. 1 great prismated demipenteract, 1 great prismated hexateron, 2 great cellidodecatera, 1 hexagonal-truncated tetrahedral duoprism, and 1 tesseractihexadecachoric prism join at each vertex. As the name suggests, it is the steriruncicantitruncation of the demihexeract.

Representations
A great cellidemihexeract has the following Coxeter diagrams:
 * x3x3o *b3x3x3x (full symmetry)
 * s4o3x3x3x3x (as alternated terigreatoprismated hexacontatetrapeton)