Entanglement by design: Symmetry-guided periodic helical assemblies
Soft Condensed Matter
2026-03-31 v1 Materials Science
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.
Keywords
Cite
@article{arxiv.2603.26817,
title = {Entanglement by design: Symmetry-guided periodic helical assemblies},
author = {Myfanwy E. Evans},
journal= {arXiv preprint arXiv:2603.26817},
year = {2026}
}