The combinatorial geometry of stresses in frameworks
Metric Geometry
2015-12-09 v1 Combinatorics
Abstract
In this paper we formulate and prove necessary and sufficient geometric conditions for existence of generic tensegrities in the plane for arbitrary graphs. The conditions are written in terms of "meet-join" relations for the configuration spaces of fixed points and non-fixed lines through fixed points.
Cite
@article{arxiv.1512.02563,
title = {The combinatorial geometry of stresses in frameworks},
author = {O. Karpenkov},
journal= {arXiv preprint arXiv:1512.02563},
year = {2015}
}
Comments
44 pages, 30 pictures