Polymer and Organic Materials Commons^™

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

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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 …