Journal
SOLID STATE SCIENCES
Volume 8, Issue 7, Pages 740-752Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.solidstatesciences.2006.04.001
Keywords
hyperbolic tilings; minimal surfaces; networks; frameworks; reticular chemistry; symmetry groups
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Crystalline frameworks in 3D Euclidean space can be constructed by projecting tilings of 2D hyperbolic space onto three-periodic minimal surfaces, giving surface reticulations. The technique involves Delaney-Dress tiling theory, group theory, differential and non-Euclidean geometry. Preliminary results of this approach, found at http://epinet.anu.edu.au, are discussed and compared with other approaches. Crown Copyright (c) 2006 Published by Elsevier SAS. All rights reserved.
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