Rectified tesseract

The rectified tesseract, or rit, is a convex uniform polychoron that consists of 16 regular tetrahedra and 8 cuboctahedra. Two tetrahedra and three cuboctahedra join at each triangular prismatic vertex.

Vertex coordinates
The vertices of a rectified tesseract of edge length 1 are given by all permutations of (±$\sqrt{2}$/2, ±$\sqrt{6}$/2, ±$\sqrt{2}$/2, 0).

Alternateively they can be given under D4 symmetry as even permutations of (±3$\sqrt{2}$/4, ±$\sqrt{2}$/4, ±$\sqrt{2}$/4, ±$\sqrt{2}$/4).