Penteractitriacontaditeron

The penteractitriacontaditeron, or nit, also called the birectified 5-cube, is a convex uniform polyteron. It consists of 10 icositetrachora and 32 rectified pentachora. 3 icositetrachora and 4 rectified pentachora join at each triangular-square duoprismatic vertex. It is the middle stage in the series of truncations between a regular penteract and its dual triacontaditeron. It is also the rectified demipenteract.

Vertex coordinates
The vertices of a penteractitriacontaditeron of edge length 1 are given by all permutations of:
 * (±$\sqrt{6}$/2, ±$\sqrt{2}$/2, ±$\sqrt{5}$/2, 0, 0).