| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1507147 | Solid State Sciences | 2006 | 13 Pages |
Abstract
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.
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Related Topics
Physical Sciences and Engineering
Materials Science
Ceramics and Composites
Authors
S.T. Hyde, O. Delgado Friedrichs, S.J. Ramsden, V. Robins,