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 uniformâ€¦ (More)

Symmetry equations are obtained for the rigidity matrix of a bar-joint framework in R d. These form the basis for a short proof of the Fowler-Guest symmetry group generalisation of theâ€¦ (More)

A theorem of Laman gives a combinatorial characterisation of the graphs that admit a realisation as a minimally rigid generic bar-joint framework in R. A more general theory is developed forâ€¦ (More)

A foundational theorem of Laman provides a counting characterisation of the finite simple graphs whose generic bar-joint frameworks in two dimensions are infinitesimally rigid. Recently a Laman-typeâ€¦ (More)