Non-Euclidean braced grids
arXiv:2009.03150
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.
12 pages, 4 figures. v2 has an erroneous corollary removed and a remark corrected