Partially-expanded demipenteract

The partially-expanded demipenteract or pexhin, also known as the truncated tetrahedral altersquarism or digonal-truncated tetrahedral duocupoliprism, is a convex scaliform polyteron that consists of 4 truncated tetrahedral cupoliprisms, 6 hexadecachora, 12 tetrahedral prisms and 16 triangular cupolawedges formed by tetrahedrally alternating the square-small rhombicuboctahedral duoprism.

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 even changes of sign of the first three coordinates, and with all odd changes of sign of the first three coordinates.
 * ($\sqrt{26}$/4, $\sqrt{2}$/4, 3$\sqrt{2}$/4, 0, ±1/2),
 * ($\sqrt{2}$/4, $\sqrt{2}$/4, 3$\sqrt{2}$/4, ±1/2, 0),