English

Non-Euclidean braced grids

Metric Geometry 2020-09-24 v2

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.

Keywords

Cite

@article{arxiv.2009.03150,
  title  = {Non-Euclidean braced grids},
  author = {Stephen Power},
  journal= {arXiv preprint arXiv:2009.03150},
  year   = {2020}
}

Comments

12 pages, 4 figures. v2 has an erroneous corollary removed and a remark corrected

R2 v1 2026-06-23T18:21:49.642Z