(Small) Rhombicosidodecahedron
The Rhombicosododecahedron is a polygon made up of 62 faces: 12 pentagonal faces, 20 equilateral triangular faces, and 30 square faces. This 3D figure also has 120 edges and 60 vertices.
http://en.wikipedia.org/wiki/Rhombicosidodecahedron
Rigid Arm Tiles
1 Tile Type
Tiling