Partially-expanded demipenteract

The partially-expanded demipenteract or pexhin, also known as the truncated tetrahedral altersquarism, tutas, or digonal-truncated tetrahedral duoalterprism, is a convex scaliform polyteron that consists of 4 truncated tetrahedral cupoliprisms, 6 hexadecachora, 12 tetrahedral prisms, and 16 triangular cupofastegiums. 1 hexadecachoron, 2 truncated tetrahedral cupoliprisms, 2 tetrahedral prisms, and 4 trianguar cupofastegiums join at each vertex. It can be formed by tetrahedrally alternating the square-small rhombicuboctahedral duoprism, so that all the small rhombicuboctahedra turn into truncated tetrahedra.

The partially-expanded demipenteract can be vertex-inscribed into a small prismated demipenteract.

It can also be obtained as a Stott expansion of the demipenteract.

Vertex coordinates
The vertices of a partially-expanded demipenteract of edge length 1 are given by: with all permutations and even changes of sign of the first three coordinates, and with all permutations and odd changes of sign of the first three coordinates.
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{3\sqrt2}{4},\,0,\,±\frac12\right),$$
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{3\sqrt2}{4},\,±\frac12,\,0\right),$$