Quasirhombicosidodecahedron

The quasirhombicosidodecahedron, also commonly known as simply the nonconvex great rhombicosidodecahedron, or qrid is a uniform polyhedron. It consists of 8 triangles, 12 squares, and 12 pentagrams, with one triangle, two squares, and one pentagram meeting at each vertex. It can be obtained by quasicantellation of the great stellated dodecahedron or great icosahedron, or equivalently by pushing either polyhedron's faces inward and filling the gaps with appropriate faces.

It is also sometimes called a great rhombicosidodecahedron, but is not to be confused with the convex polyhedron with the same name.