Frameworks with crystallographic symmetry
Metric Geometry
2011-10-24 v1
Abstract
Periodic frameworks with crystallographic symmetry are investigated from the perspective of a general deformation theory of periodic bar-and-joint structures in . It is shown that natural parametrizations provide affine section descriptions for families of frameworks with a specified graph and symmetry. A simple geometric setting for diaplacive phase transitions is obtained. Upper bounds are derived for the number of realizations of minimally rigid periodic graphs.
Cite
@article{arxiv.1110.4662,
title = {Frameworks with crystallographic symmetry},
author = {Ciprian S. Borcea and Ileana Streinu},
journal= {arXiv preprint arXiv:1110.4662},
year = {2011}
}