UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

On the writhe of non-closed curves

Starostin, EL; (2002) On the writhe of non-closed curves. Ch. 26 in: Vol. 36: Physical and Numerical Models in Knot Theory Including Applications to the Life Sciences, ISBN 978-981-256-187-9, World Scientific (2005) 525-545.

Full text not available from this repository.

Abstract

The writhe of a space curve fragment is considered for various boundary conditions. An expression for the writhe as a function of arclength for an arbitrary space curve is obtained. The formula is built on the base of closing the tangent indicatrix with a geodesic. The corresponding closure of a curve in 3-space is explicitly constructed. The addition rule for writhe is formulated. A relationship connecting the writhe with the Gauss integral over the open curve is presented. The single and double regular helical shapes are examined as examples.

Type: Article
Title: On the writhe of non-closed curves
Additional information: 56 pages, 9 figures
Keywords: physics.bio-ph, physics.bio-ph
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/84567
Downloads since deposit
0Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item