Entanglement by design: Symmetry-guided periodic helical assemblies

Myfanwy E. Evans

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arXiv · 2603.26817

Entanglement by design: Symmetry-guided periodic helical assemblies

Myfanwy E. Evans

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Abstract

In this paper, a selection of elegant, highly symmetric examples of three-periodic tangled nets and filaments are presented. They are constructed via familiar crystal nets using edges as geometric scaffolds for n-fold helical windings. Rather than providing a complete classification, this gallery of examples highlights recurring geometric motifs, offering insight into how periodic tangles are organised in crystalline, molecular, and biological systems.

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Myfanwy E. Evans. 2026-03-26. Entanglement by design: Symmetry-guided periodic helical assemblies. https://arxiv.org/abs/2603.26817

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