John H. Conway, Charles Radin, Lorenzo Sadun Relations in SO(3) supported by geodetic angles (172K, postscript) ABSTRACT. We consider rotations A, B of finite order in SO(3), about axes separated by an angle of restricted type, and attempt to classify the possible group relations between A and B. We show that the relations responsible for the symmetries of the Platonic solids have consequences far beyond that simple geometric setting.