Infinite Bar-Joint Frameworks

Details Infinite Bar-Joint Frameworks Infinite Bar-Joint Frameworks

2008-11-18

arxiv.org/abs/0811.2958v1

Mathematics

Functional Analysis

5 figures. To appear in the Proceedings of the Symposium in Applied Computing, SAC2009 (Honolulu, March 2009)

Scientific paper

Some aspects of a mathematical theory of rigidity and flexibility are developed for general infinite frameworks and two main results are obtained. In the first sufficient conditions, of a uniform local nature, are obtained for the existence of a proper flex of an infinite framework. In the second it is shown how continuous paths in the plane may be simulated by infinite Kempe linkages.

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