Rhombic Enneacontahedron with 30 Icosahedra
This polyhedron compound contains one rhombic enneacontahedron (RE) and 30 icosahedra. Each icosahedron is merged with a thin rhombus so that the edges of the rhombus are on the adjacent faces of the icosahedron.
This assembly can be used to facilitate recalling certain geometrical facts, such as:
1. The rhombic enneacontahedron is bordered by 60 fat rhombi (with diagonal ratio equal to ) and 30 thin rhombi (with diagonal ratio equal to , where is the golden ratio).
2. The thin rhombi coincide with the faces of the rhombic triacontahedron.