Partially-expanded demihexeract

The partially-expanded demihexeract or pexhax, also known as the tetrahedral-truncated tetrahedral duoalterprism, is a convex scaliform polypeton that consists of 6 partially-expanded demipenteracts, 6 demipenteracts, 8 triangular-tetrahedral duoprisms, 12 hexadecachoric prisms, and 32 partially-expanded hexatera formed by tetrahedrally alternating the cubic-small rhombicuboctahedral duoprism.

It can also be obtained as a Stott expansion of the demihexeract, or as the convex hull of 2 opposite tetrahedral-truncated tetrahedral duoprisms.

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