P*

P* is a quasi-convex Stewart toroid in the T5 country. It can be made by excavating 12 pentagonal cupolae, 12 pentagonal antiprisms and 1 dodecahedron from a truncated dodecahedron. Although it has pentagons, decagons, and 36°-144° rhombi as pseudo-faces, its faces are all triangles or squares.