Truncated tetrahedral alterprism

The truncated tetrahedral cupoliprism, or tutcup, is a convex scaliform polychoron. It consists of two truncated tetrahedra as bases, joined by 8 triangular cupolas and 6 tetrahedra.

The two truncated tetrahedra are in opposite orientation, so that the hexagonal faces of one base are parallel to the triangular faces of the other.

It can also be seen as a diminishing of the rectified tesseract, specifically one where two caps shaped like the segmentochoron tetrahedron atop truncated tetrahedron rae removed.

Vertex coordinates
The vertices of a regular hexadecachoron of edge length 1, centered at the origin, are given by: With all even changes of sign, and all permutations in the first three coordinates.
 * (3$\sqrt{2}$/4, $\sqrt{3}$/4, $\sqrt{6}$/4, $\sqrt{2}$/4)