Subgroups of so ( 3 ) Associated With
نویسندگان
چکیده
We give a thorough analysis of those subgroups of SO(3) generated by rotations about perpendicular axes by 2=p and 2=q. A corollary is that such a group is the free product of the cyclic groups of rotations about the separate axes if and only if p; q 3 and are both odd. These groups are naturally associated with a family of hierarchical tilings of Euclidean 3-space.
منابع مشابه
iv : m at h / 96 01 20 2 v 1 [ m at h . G R ] 1 2 Ja n 19 96 SUBGROUPS OF SO ( 3 ) ASSOCIATED WITH TILINGS
We give a thorough analysis of those subgroups of SO(3) generated by rotations about perpendicular axes by 2π/p and 2π/q. A corollary is that such a group is the free product of the cyclic groups of rotations about the separate axes if and only if p, q ≥ 3 and are both odd. These groups are naturally associated with a family of hierarchical tilings of Euclidean 3-space. Subject Classification: ...
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