Partially-biexpanded demihexeract

The partially-biexpanded demihexeract or pabex hax, also known as the truncated tetrahedral duoalterprism, is a convex scaliform polypeton that consists of 12 partially-expanded demipenteracts, 16 triangular-tetrahedral duoprisms, 24 truncated tetrahedral cupoliprismatic prisms, and 32 partially-biexpanded hexatera formed by tetrahedrally alternating the small rhombicuboctahedral duoprism.

It can also be obtained as two Stott expansions of the demihexeract, or as the convex hull of two opposite truncated tetrahedral duoprisms.

Vertex coordinates
The vertices of a partially-biexpanded demihexeract of edge length 1, are given by all permutations and even changes of sign of the first and last three coordinates of:
 * $$±\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{3\sqrt2}{4}\right).$$