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Global curvature, thickness, and the ideal shapes of knots

By Oscar Gonzalez and John H. Maddocks

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

Topics: Physical Sciences
Publisher: The National Academy of Sciences
Year: 1999
OAI identifier: oai:pubmedcentral.nih.gov:21766
Provided by: PubMed Central
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