@article { , title = {Emergent Rhombus Tilings from Molecular Interactions with M-fold Rotational Symmetry}, abstract = {© 2015 American Physical Society. We show that model molecules with particular rotational symmetries can self-assemble into network structures equivalent to rhombus tilings. This assembly happens in an emergent way, in the sense that molecules spontaneously select irregular fourfold local coordination from a larger set of possible local binding geometries. The existence of such networks can be rationalized by simple geometrical arguments, but the same arguments do not guarantee a network's spontaneous self-assembly. This class of structures must in certain regimes of parameter space be able to reconfigure into networks equivalent to triangular tilings.}, doi = {10.1103/PhysRevLett.114.115702}, eissn = {1079-7114}, issn = {0031-9007}, issue = {11}, journal = {Physical Review Letters}, publicationstatus = {Published}, publisher = {American Physical Society}, url = {https://nottingham-repository.worktribe.com/output/747129}, volume = {114}, year = {2015}, author = {Whitelam, Stephen and Tamblyn, Isaac and Garrahan, Juan P. and Beton, Peter H.} }