Entanglement by design: Symmetry-guided periodic helical assemblies

In this paper, a selection of elegant, highly symmetric examples of three-periodic tangled nets and filaments is 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 insights into how periodic tangles are organized in crystalline, molecular and biological systems.