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Approximating ideal shapes with tight elements

Starostin, E.L.; (2005) Approximating ideal shapes with tight elements. In: Proceedings of the 30th South-German Colloquium on Differential Geometry, Dresden University of Technology. (pp. pp. 71-81). Dresden University of Technology: Dresden. Green open access

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Abstract

A variational approach is applied to the problem of finding the shortest curves in space separated by constant distance. Among particular extremal solutions are straight line, circular arc and double helix. Various knots and links may be assembled from these elements. It turns out that the structures so created may serve as very good approximations of the ideal shapes. Explicit construction of the trefoil knot and link 421 furnishes the examples.

Type:Proceedings paper
Title:Approximating ideal shapes with tight elements
Event:Proceedings 30th Colloquium on Differential Geometry
ISBN:3-86005-484-8
Open access status:An open access version is available from UCL Discovery
Publisher version:http://www.math.tu-dresden.de/geo/conferences/DiffgeoKoll2005/index.html
Language:English
Keywords:ideal knots, links
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering

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