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Proceedings of the 30th South-German Colloquium on Differential Geometry, Dresden University of Technology

Starostin, EL; (2005) Proceedings of the 30th South-German Colloquium on Differential Geometry, Dresden University of Technology. In: Weiss, G, (ed.) (Proceedings) Approximating ideal shapes with tight elements. (pp. 71 - 81). Dresden University of Technology: Dresden.

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Abstract

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

Type:Proceedings paper
Title:Proceedings of the 30th South-German Colloquium on Differential Geometry, Dresden University of Technology
Event:Approximating ideal shapes with tight elements
Additional information:Imported via OAI, 7:29:01 30th Nov 2005
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering

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