Journal
PLOS ONE
Volume 9, Issue 4, Pages -Publisher
PUBLIC LIBRARY SCIENCE
DOI: 10.1371/journal.pone.0093183
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Funding
- Materials Research Science and Engineering Center under NSF [DMR-0820484]
- National Science Foundation [CMMI-1149456-CAREER, CMMI-1333835]
- Wyss institute through the Seed Grant Program
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1333835] Funding Source: National Science Foundation
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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.
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