Generic rigidity of frameworks with orientation-preserving crystallographic symmetry
Geometric Topology
2015-03-19 v2 Combinatorics
Abstract
We extend our generic rigidity theory for periodic frameworks in the plane to frameworks with a broader class of crystallographic symmetry. Along the way we introduce a new class of combinatorial matroids and associated linear representation results that may be interesting in their own right. The same techniques immediately yield a Maxwell-Laman-type combinatorial characterization for frameworks embedded in 2-dimensional cones that arise as quotients of the plane by a finite order rotation.
Keywords
Cite
@article{arxiv.1108.2518,
title = {Generic rigidity of frameworks with orientation-preserving crystallographic symmetry},
author = {Justin Malestein and Louis Theran},
journal= {arXiv preprint arXiv:1108.2518},
year = {2015}
}
Comments
70 pages, 9 figures