99-102 John H. Conway, Charles Radin, Lorenzo Sadun
Relations in SO(3) supported by geodetic angles (172K, postscript) Apr 8, 99
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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.

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