Rectified triacontaditeron

The rectified triacontaditeron, or rat, also called the rectified 5-orthoplex, is a convex uniform polyteron. It consists of 10 hexadecachora] and 32 [[rectified pentachoron|rectified pentachora. Two hexadecachora and 8 rectified pentachora join at each octahedral prismatic vertex. As the name suggests, it is the rectification of the triacontaditeron.

Vertex coordinates
The vertices of a rectified triacontaditeron of edge length 1 are given by all permutations of:
 * (±$\sqrt{2}$/2, ±$\sqrt{5}$/2, 0, 0, 0).