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Algorithmic design of self-folding polyhedra.

ABSTRACT: Self-assembly has emerged as a paradigm for highly parallel fabrication of complex three-dimensional structures. However, there are few principles that guide a priori design, yield, and defect tolerance of self-assembling structures. We examine with experiment and theory the geometric principles that underlie self-folding of submillimeter-scale higher polyhedra from two-dimensional nets. In particular, we computationally search for nets within a large set of possibilities and then test these nets experimentally. Our main findings are that (i) compactness is a simple and effective design principle for maximizing the yield of self-folding polyhedra; and (ii) shortest paths from 2D nets to 3D polyhedra in the configuration space are important for rationalizing experimentally observed folding pathways. Our work provides a model problem amenable to experimental and theoretical analysis of design principles and pathways in self-assembly.

SUBMITTER: Pandey S

PROVIDER: S-EPMC3250184 | biostudies-literature | 2011 Dec

REPOSITORIES: biostudies-literature

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Algorithmic design of self-folding polyhedra.

Pandey Shivendra S Ewing Margaret M Kunas Andrew A Nguyen Nghi N Gracias David H DH Menon Govind G

Proceedings of the National Academy of Sciences of the United States of America 20111202 50

Self-assembly has emerged as a paradigm for highly parallel fabrication of complex three-dimensional structures. However, there are few principles that guide a priori design, yield, and defect tolerance of self-assembling structures. We examine with experiment and theory the geometric principles that underlie self-folding of submillimeter-scale higher polyhedra from two-dimensional nets. In particular, we computationally search for nets within a large set of possibilities and then test these net ...[more]

PMID: 22139373

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