“…Complementary to these endeavours is the study of 'crystal nets': triply periodic embeddings of graphs in three-dimensional Euclidean space. Interest in crystal nets stems from their fundamental relevance to condensed materials from atomic crystals (Wells, 1977;O'Keeffe & Hyde, 1996;Klee, 2004) to novel framework materials (Ockwig et al, 2005;Ö hrströ m & Larsson, 2005), including carbon polymorphs (Strong et al, 2004), zeolites (Treacy et al, 1997;International Zeolite Association, 2008), related oxide (Zou et al, 2008) and alumino-phosphate (AlPO) materials (Li et al, 2008), imidazolate (ZIF) frameworks (Banerjee et al, 2008) and metalcoordination polymeric materials (Blatov et al, 2004;Batten, 2001). The microdomains of some liquid-crystalline phases of soft materials, including amphiphile and copolymer assemblies and derivative mesoporous solids, are also characterized by crystal nets (Hyde & Schroeder, 2003).…”