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arXiv · 2005.05845

Control of connectivity and rigidity in prismatic assemblies

Gary P. T. Choi·Siheng Chen·L. Mahadevan
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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.

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Gary P. T. Choi, Siheng Chen, L. Mahadevan. 2020-05-12. Control of connectivity and rigidity in prismatic assemblies. https://doi.org/10.1098/rspa.2020.0485

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