Relations in SO (3) Supported by Geodetic Angles

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 Platonic solids have consequences far beyond that simple geometric setting.

• Type: Journal
• Year: 2000
• Where: DCG
• Authors: John H. Conway, Charles Radin, L. Sadun
• Keywords: DCG 2000, Platonic Solids, Possible Group Relations, Simple Geometric Setting