Rhombicosahedron

The rhombicosahedron, or ri, is a uniform polyhedron. It consists of 30 squares and 20 hexagons. Two squares and two hexagons meet at each vertex.

It is a faceting of the rhombidodecadodecahedron, using its 30 squares along with the 20 hexagons of the icosidodecadodecahedron.

The truncated great icosidodecahedron is a degenerate polyhedron with 20 hexagons, 30 squares, and 12 doubly-wound pentagrams. If those pentagrams are blended out, the result is the rhombicosahedron.