2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174422Some 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.5 figures. To appear in the Proceedings of the Symposium in Applied Computing, SAC2009 (Honolulu, March 2009)Functional AnalysisMetric Geometry52C25; 70B15text