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.

The small prismatodemihexeract contains the vertices and edges of the truncated tetrahedral duoprism.

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