2D Hyperbolic Groups Induce Three-periodic Euclidean Reticulations
Many crystalline networks can be viewed as decorations of triply periodic minimal surfaces. Such surfaces are covered by the hyperbolic plane in the same way that the Euclidean plane covers a cylinder. Thus, a symmetric hyperbolic network can be wrapped onto an appropriate minimal surface to obtain a 3d periodic net. This requires symmetries of the hyperbolic net to match the symmetries of the minimal surface. We describe a systematic algorithm to find all the hyperbolic symmetries that are...[Show more]
|Collections||ANU Research Publications|
|Source:||European Physical Journal B|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.