Expansive periodic mechanisms
Metric Geometry
2015-07-14 v1
Abstract
A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances between joints increase or stay the same. In dimension two, expansive behavior can be fully explained through our theory of periodic pseudo-triangulations. However, higher dimensions present new challenges. In this paper we study a number of periodic frameworks with expansive capabilities in dimension and register both similarities and contrasts with the two-dimensional case.
Cite
@article{arxiv.1507.03132,
title = {Expansive periodic mechanisms},
author = {Ciprian S. Borcea and Ileana Streinu},
journal= {arXiv preprint arXiv:1507.03132},
year = {2015}
}