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2004•arXiv (Cornell University)Open access

Computing the writhe of a knot

David Cimasoni

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Abstract

We study the variation of the Tait number of a closed space curve according to its different projections. The results are used to compute the writhe of a knot, leading to a closed formula in case of polygonal curves.

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What this paper is about

We study the variation of the Tait number of a closed space curve according to its different projections. The results are used to compute the writhe of a knot, leading to a closed formula in case of polygonal curves.

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Available abstract

We study the variation of the Tait number of a closed space curve according to its different projections. The results are used to compute the writhe of a knot, leading to a closed formula in case of polygonal curves.

Key concepts: Writhe, Knot (papermaking), Mathematics, Knot theory, Geometry, Twist, Engineering, Chemical engineering

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