Small complex rhombicosidodecahedron

The small complex rhombicosidodecahedron, or sicdatrid, is a degenerate uniform exotic polyhedroid. It consists of 12 pentagrams, 20 triangles, and 30 squares. 3 pentagrams, 3 triangles, and 6 squares join at each vertex. It can be constructed as a cantellated great icosahedron. It can also be seen as a compound of a small ditrigonary icosidodecahedron and a rhombihedron, the compound of 5 cubes, with their edges merging into tetradic edges.