ArticleProceedings of the National Academy of Sciences of the United States of America2024
Limits of economy and fidelity for programmable assembly of size-controlled triply periodic polyhedra.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Modular programming of interaction and geometric specificity enables assembly of complex DNA origami nanostructures.Nature communications · 2025Article
- From toroids to helical tubules: Kirigami-inspired programmable assembly of two-periodic curved crystals from DNA origami.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- From disorder to icosahedral symmetry: How conformation-switching subunits enable RNA virus assembly.Science advances · 2025Article
- Measuring multisubunit mechanics of geometrically programmed colloidal assemblies via cryo-EM multi-body refinement.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Article
- Economical routes to size-specific assembly of self-closing structures.Science advances · 2024Article
- Limits of economy and fidelity for programmable assembly of size-controlled triply periodic polyhedra.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
Corrections and comments
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Authors and funding
6 authors.
Funding
Abstract
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 for simultaneously efficient and high-fidelity assembly require an intermediate degree of flexibility of local angles and lengths in programmed assembly. Off-target misassembly occurs via incorporation of a variant of disclination defects, generalized to the case of hyperbolic crystals. The possibility of these topological defects is a direct consequence of the very same symmetry principles that underlie the economical design, exposing a basic tradeoff between design economy and fidelity of programmable, size controlled assembly.
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