Tiling Theory and Topological Approaches to Making Crystals

2 Tiling Theory and Topological Approaches to Making Crystals 

The successful design of rigid frameworks based on SBUs is the rationale for Scale Chemistry [37] and Reticular Chemistry [36b]. 

The field of infinite periodic minimal surfaces (IPMS), that was introduced a few decades ago for the analysis of the topology of crystal structures [41], is a different approach to the analysis of nets many common nets are related to the known intersection-free IPMS [42], The IPMS studies have also produced a systematic enumeration of nets that has been recently proposed by the EPINET project (Euclidean Patterns in Non-Euclidean Tilings, see http //epinet.anu.edu.au) instead of working directly in three dimensions, the intrinsic hyperbolic geometry of IPMS is used to map 2D hyperbolic patterns into 3D Euclidean space [43], 

The interested reader can find more information on the topology of networks in a recent review, with more details on what we now know about nets [33], 

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