Global curvature, thickness, and the ideal shapes of knots
- 27 April 1999
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 96 (9) , 4769-4773
- https://doi.org/10.1073/pnas.96.9.4769
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.Keywords
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