Truncated tetrahedral prism

The truncated tetrahedral prism or tuttip is a prismatic uniform polychoron that consists of 2 truncated tetrahedra, 4 hexagonal prisms, and 4 triangular prisms. Each vertex joins 1 truncated tetrahedron, 1 hexagonal prism, and 2 triangular prisms. As the name suggests, it is a prism based on the truncated tetrahedron.

Vertex coordinates
The vertices of a truncated tetrahedral prism of edge length 1 are given by all permutations and even sign changes of the first three coordinates of:
 * ($\sqrt{3}$/4, $\sqrt{3}$/4, 3$\sqrt{2}$/4, ±1/2)