ArticleProceedings of the National Academy of Sciences of the United States of America2023
Design strategies for the self-assembly of polyhedral shells.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Delay-facilitated self-assembly in compartmentalized systems.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Inverse Thermodynamics: Designing Interactions for Targeted Phase Behavior.The journal of physical chemistry. B · 2025Article
- Economical and Versatile Subunit Design Principles for Self-Assembled DNA Origami Structures.ACS nano · 2025Article
- Designing the Self-Assembly of Disordered Materials Via Color Frustration.Advanced materials (Deerfield Beach, Fla.) · 2025Article
- Kinetic Description of Viral Capsid Self-Assembly Using Mesoscopic Non-Equilibrium Thermodynamics.Entropy (Basel, Switzerland) · 2025Article
- General theory for packing icosahedral shells into multi-component aggregates.Nature communications · 2025Article
- Economical routes to size-specific assembly of self-closing structures.Science advances · 2024Article
- Programming patchy particles for materials assembly design.Proceedings of the National Academy of Sciences of the United States of America · 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
- Hierarchical assembly is more robust than egalitarian assembly in synthetic capsids.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Review
- Design strategies for the self-assembly of polyhedral shells.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
The control over the self-assembly of complex structures is a long-standing challenge of material science, especially at the colloidal scale, as the desired assembly pathway is often kinetically derailed by the formation of amorphous aggregates. Here, we investigate in detail the problem of the self-assembly of the three Archimedean shells with five contact points per vertex, i.e., the icosahedron, the snub cube, and the snub dodecahedron. We use patchy particles with five interaction sites (or patches) as model for the building blocks and recast the assembly problem as a Boolean satisfiability problem (SAT) for the patch-patch interactions. This allows us to find effective designs for all targets and to selectively suppress unwanted structures. By tuning the geometrical arrangement and the specific interactions of the patches, we demonstrate that lowering the symmetry of the building blocks reduces the number of competing structures, which in turn can considerably increase the yield of the target structure. These results cement SAT-assembly as an invaluable tool to solve inverse design problems.
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