Relations in SO (3) Supported by Geodetic Angles
نویسندگان
چکیده
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.
منابع مشابه
Relations in SO ( 3 ) supported by geodetic anglesbyJohn
We consider rotations A; B of nite 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 consequencies far beyond that simple geometric setting.
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 23 شماره
صفحات -
تاریخ انتشار 2000