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Main Author: Evans, Myfanwy E.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.26817
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author Evans, Myfanwy E.
author_facet Evans, Myfanwy E.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26817
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Entanglement by design: Symmetry-guided periodic helical assemblies
Evans, Myfanwy E.
Soft Condensed Matter
Materials Science
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.
title Entanglement by design: Symmetry-guided periodic helical assemblies
topic Soft Condensed Matter
Materials Science
url https://arxiv.org/abs/2603.26817