This wireframe model is a uniform polyhedron compound of 20 octahedra with icosahedral symmetry. It shares its edge arrangement with the
great dirhombicosidodecahedron, which was nicknamed "Miller's monster" (after
J. C. P. Miller, who with
H. S. M. Coxeter and
M. S. Longuet-Higgins enumerated the uniform polyhedra in 1954). (See Wikipedia.)