2008/11/18 by J. C. Owen, S. C. Power, Owen, J. C. +1 · 1 citation
Engineering · Biochemistry, Genetics and Molecular Biology · #Structural Analysis and Optimization #Advanced Materials and Mechanics #Cellular Mechanics and Interactions
paper · pdf · doi:10.48550/arxiv.0811.2958
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.