Symmetry Groups and Reticulations of the Hexagonal H Surface
We describe a systematic approach to generate nets that arise from decorations of 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. Here, we tabulate all such symmetry groups that are compatible with...[Show more]
|Collections||ANU Research Publications|
|Source:||Physica A: Statistical mechanics and its applications|
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