English

Infinite Bar-Joint Frameworks

Functional Analysis 2008-11-19 v1 Metric Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.0811.2958,
  title  = {Infinite Bar-Joint Frameworks},
  author = {J. C. Owen and S. C. Power},
  journal= {arXiv preprint arXiv:0811.2958},
  year   = {2008}
}

Comments

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

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