Skip navigation
Skip navigation

Ab-initio Construction of Some Crystalline 3D Euclidean Networks

Hyde, Stephen; Ramsden, Stuart; Di Matteo, Tiziana; Longdell, Jevon


We describe a technique for construction of 3D Euclidean (E3) networks with partially-prescribed rings. The algorithm starts with 2D hyperbolic (H2) tilings, whose symmetries are commensurate with the intrinsic 2D symmetries of triply periodic minimal surfaces (or infinite periodic minimal surfaces, IPMS). The 2D hyperbolic pattern is then projected from H2 to E3, forming 3D nets. Examples of cubic and tetragonal 3-connected nets with up to 288 vertices per unit cell, each linking a pair of...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Solid State Sciences
DOI: 10.1016/S1293-2558(02)00079-1


There are no files associated with this item.

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator