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Structural Transition from Helices to Hemihelices

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  • Jia Liu
  • Jiangshui Huang
  • Tianxiang Su
  • Katia Bertoldi
  • David R Clarke

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.

Suggested Citation

  • Jia Liu & Jiangshui Huang & Tianxiang Su & Katia Bertoldi & David R Clarke, 2014. "Structural Transition from Helices to Hemihelices," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-7, April.
    • Handle: RePEc:plo:pone00:0093183
    DOI: 10.1371/journal.pone.0093183
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