Non-Euclidean braced grids

Power, Stephen (2020) Non-Euclidean braced grids. Mathematical Proceedings of the Royal Irish Academy, 120A (2): PRIA.2020.. pp. 43-57. ISSN 1393-7197

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Abstract

Necessary and sufficient conditions are obtained for the infinitesimal rigidity of braced grids in the plane with respect to non-Euclidean norms. Component rectangles of the grid may carry 0, 1 or 2 diagonal braces, and the combinatorial part of the conditions is given in terms of a matroid for the bicoloured bipartite multigraph defined by the braces.