Control of connectivity and rigidity in prismatic assemblies
Soft Condensed Matter
2021-04-06 v1 Statistical Mechanics
Computational Geometry
Abstract
How can we manipulate the topological connectivity of a three-dimensional prismatic assembly to control the number of internal degrees of freedom and the number of connected components in it? To answer this question in a deterministic setting, we use ideas from elementary number theory to provide a hierarchical deterministic protocol for the control of rigidity and connectivity. We then show that is possible to also use a stochastic protocol to achieve the same results via a percolation transition. Together, these approaches provide scale-independent algorithms for the cutting or gluing of three-dimensional prismatic assemblies to control their overall connectivity and rigidity.
Cite
@article{arxiv.2005.05845,
title = {Control of connectivity and rigidity in prismatic assemblies},
author = {Gary P. T. Choi and Siheng Chen and L. Mahadevan},
journal= {arXiv preprint arXiv:2005.05845},
year = {2021}
}