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.

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:
 * ±($\sqrt{7}$/4, $\sqrt{2}$/4, 3$\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4).