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April 27, 1999Proceedings of the National Academy of Sciences261 citationsOpen Access

Global curvature, thickness, and the ideal shapes of knots

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OGO. A. GonzálezJMJohn H. Maddocks

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Abstract

The global radius of curvature of a space curve is introduced. This function is related to, but distinct from, the standard local radius of curvature and is connected to various physically appealing properties of a curve. In particular, the global radius of curvature function provides a concise characterization of the thickness of a curve, and of certain ideal shapes of knots as have been investigated within the context of DNA.

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Cite This Study

González et al. (1999) studied this question.

synapsesocial.com/papers/6a2052d84ad5e85db1e722f8https://doi.org/10.1073/pnas.96.9.4769
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