On comparing the writhe of a smooth curve to the writhe of an inscribed polygon

Details On comparing the writhe of a smooth curve to the writhe of an inscribed polygon On comparing the writhe of a smooth curve to the writhe of an inscribed polygon

2002-02-22

arxiv.org/abs/math/0202236v1

Mathematics

Differential Geometry

16 pages, 5 figures

Scientific paper

We find bounds on the difference between the writhing number of a smooth
curve, and the writhing number of a polygon inscribed within. The proof is
based on an extension of Fuller's difference of writhe formula to the case of
polygonal curves. The results establish error bounds useful in the computation
of writhe.

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