Robins, VanessaRamsden, StuartHyde, Stephen2015-12-132015-12-130378-4371http://hdl.handle.net/1885/77655We 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 the H minimal surface.Keywords: Algorithms; Bonding; Crystal structure; Crystalline materials; Diamonds; Large scale systems; Synthesis (chemical); Zeolites; Frameworks; Hyperbolic tilings; Minimal surfaces; Networks; Reticular chemistry; Symmetry groups; Surface structure Frameworks; Hyperbolic tilings; Minimal surfaces; Networks; Reticular chemistry; Symmetry groups200410.1016/j.physa.2004.03.0532015-12-11