Small rhombated tesseract

The small rhombated tesseract, or srit, also commonly called the cantellated tesseract, is a convex uniform polychoron that consists of 16 regular octahedra, 32 triangular prisms, and 8 small rhombicuboctahedra. 1 octahedron, 2 triangular prisms, and 2 small rhombicuboctahedra join at each vertex. As one of its names suggests, it can be obtained by cantellating the tesseract.

Vertex coordinates
The vertices of a small rhombated tesseract of edge length 1 are given by all permutations of:
 * (±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{2+√2}$)/2, ±1/2, ±1/2)