# 60 Rhombic Triacontahedra in Two Different Clusters

60 Rhombic Triacontahedra in Two Different Clusters

60 rhombic triacontahedra (RT) are connected face-to-face in two different clusters. In one of them the RTs are located at the vertices of a truncated icosahedron (buckyball) and each RT is connected to three others. In the other version the RTs are located at the vertices of a small rhombicosidodecahedron and each RT is connected to four others. The volume ratio of a truncated icosahedron to a small rhombicosidodecahedron with the same inradius is about 1.3285.