Structural Transition from Helices to Hemihelices

Jia Liu, Jiangshui Huang, Tianxiang Su, Katia Bertoldi and David R Clarke

PLOS ONE, 2014, vol. 9, issue 4, 1-7

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0093183

DOI: 10.1371/journal.pone.0093183

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