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Full-Text Articles in Polymer and Organic Materials
Limits Of Economy And Fidelity For Programmable Assembly Of Size-Controlled Triply-Periodic Polyhedra, Carlos M. Duque, Douglas M. Hal, Botond Tyukodi, Michael F. Hagan, Christian D. Santangelo, Gregory M. Grason
Limits Of Economy And Fidelity For Programmable Assembly Of Size-Controlled Triply-Periodic Polyhedra, Carlos M. Duque, Douglas M. Hal, Botond Tyukodi, Michael F. Hagan, Christian D. Santangelo, Gregory M. Grason
Data and Datasets
We propose and investigate an extension of the Caspar-Klug symmetry principles for viral capsid assembly to the programmable assembly of size-controlled triply-periodic polyhedra, discrete variants of the Primitive, Diamond, and Gyroid cubic minimal surfaces. Inspired by a recent class of programmable DNA origami colloids, we demonstrate that the economy of design in these crystalline assemblies -- in terms of the growth of the number of distinct particle species required with the increased size-scale (e.g. periodicity) -- is comparable to viral shells. We further test the role of geometric specificity in these assemblies via dynamical assembly simulations, which show that conditions …