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. As the name suggests, it can be obtained by rectifying the tesseract.

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).

Alternatively, they can be given under D4 symmetry as even permutations of


 * (±3$\sqrt{2}$/4, ±$\sqrt{2}$/4, ±$\sqrt{2}$/4, ±$\sqrt{2}$/4).