Small prismatodemihexeract

The small prismatodemihexeract or sophax, also called the steric 6-cube or runcinated 6-demicube, is a convex uniform polypeton. It consists of 12 small prismated demipenteracts, 32 rectified hexatera, 32 small prismated hexatera, and 160 triangular-tetrahedral duoprisms. 2 small prismated demipenteracts, 1 rectified hexateron, 4 small prismated hexatera, and 4 triangular-tetrahedral duoprisms join at each vertex. As the name suggests, it is the runcination of the demihexeract.

Representations
A small prismatodemihexeract has the following Coxeter diagrams:
 * x3o3o *b3o3x3o (full symmetry)
 * s4o3o3o3x3o (as alternated rectified hexacontatetrapeton)
 * xxoo3oooo3ooxx *b3oxxo3xoox&#xt