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Tendril perversion—a physical implication of the topological conservation law

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Published 22 June 2004 2004 IOP Publishing Ltd
, , Citation Piotr Pieranski et al 2004 Eur. J. Phys. 25 613 DOI 10.1088/0143-0807/25/5/004

0143-0807/25/5/613

Abstract

Tendril perversion—a phenomenon ruled by the topological conservation law—is presented. A contemporary, quantitative analysis of the phenomenon is confronted with its qualitative, intuitive analysis carried out by Charles Darwin. The linking number, twist and writhe are defined. The topological conservation law is introduced. The Gauss formula for calculating the linking number and the Calugareanu formula for calculating writhe are derived and discussed using physical arguments.

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10.1088/0143-0807/25/5/004