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.) Since there are two octahdral vertices at each vertex. there are only 60 vertices in total (not counting any internal intersections). It has 240 edges. The vertices are those of a polyhedral solid, similar to the rhombicosidodecahedron, formed of 12 pentagons, 30 rectangles (instead of squares), and 20 equilateral triangles.