Infinite bar-joint frameworks

  • Authors:

  • J. C. Owen;S. C. Power

  • Affiliations:

  • Siemens PLM Software Ltd., Castle Park, Cambridge, U.K.;Lancaster University, Lancaster, U.K.

  • Venue:
  • Proceedings of the 2009 ACM symposium on Applied Computing
  • Year:
  • 2009

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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.