Quasirhombated penteract

The quasirhombated penteract, or quarn, is a nonconvex uniform polyteron. It consists of 80 tetrahedral prisms, 32 rectified pentachora, and 10 quasirhombated tesseracts. One rectified pentachoron, 2 tetrahedral prisms, and 3 quasirhombated tesseracts join at each vertex. It is the quasicantellation of the penteract.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the sphenoverted penteractipenteractitriacontaditeron.