Twenty years of the EPINET database

Abstract The EPINET project (Euclidean Patterns In Non-Euclidean Tilings) catalogues crystalline frameworks (three-periodic nets) generated from tilings of triply periodic minimal surfaces. These nets have a broad distribution of structural motifs that are of potential interest to chemists and materials scientists working at arbitrary length scales. The catalogue has been available as a searchable online database at https://epinet.anu.edu.au/ since 2006; this paper reviews the history and context of EPINET and announces a major update of the website functionality. As a set of examples found using recently computed additional information about the nets, we describe the s-nets that have rings of exactly one size. This article is part of the theme issue ‘Geometry, materials and the imagination’.