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Structural transition from helices to hemihelices.


ABSTRACT: Helices are amongst the most common structures in nature and in some cases, such as tethered plant tendrils, a more complex but related shape, the hemihelix forms. In its simplest form it consists of two helices of opposite chirality joined by a perversion. A recent, simple experiment using elastomer strips reveals that hemihelices with multiple reversals of chirality can also occur, a richness not anticipated by existing analyses. Here, we show through analysis and experiments that the transition from a helical to a hemihelical shape, as well as the number of perversions, depends on the height to width ratio of the strip's cross-section. Our findings provides the basis for the deterministic manufacture of a variety of complex three-dimensional shapes from flat strips.

SUBMITTER: Liu J 

PROVIDER: S-EPMC3997338 | biostudies-literature | 2014

REPOSITORIES: biostudies-literature

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Structural transition from helices to hemihelices.

Liu Jia J   Huang Jiangshui J   Su Tianxiang T   Bertoldi Katia K   Clarke David R DR  

PloS one 20140423 4


Helices are amongst the most common structures in nature and in some cases, such as tethered plant tendrils, a more complex but related shape, the hemihelix forms. In its simplest form it consists of two helices of opposite chirality joined by a perversion. A recent, simple experiment using elastomer strips reveals that hemihelices with multiple reversals of chirality can also occur, a richness not anticipated by existing analyses. Here, we show through analysis and experiments that the transiti  ...[more]

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