Fourier Knots

Details Fourier Knots Fourier Knots

1997-11-14

arxiv.org/abs/q-alg/9711013v2

Mathematics

Quantum Algebra

LaTex, 13 pages, 5 figures

Scientific paper

This paper introduces the concept of a Fourier knot. A Fourier knot is a knot that is represented by a parametrized curve in three dimensional space such that the coordinate functions are finite Fourier series in the parameter. The previously studied Lissajous knots constitute a case of Fourier knots with single frequencies in each coordinate direction. Not all knots are Lissajous. In fact the trefoil knot and the figure eight knot are the first examples of non- Lissajous knots. This paper gives robust and simple Fourier representations for these and other examples. This new version of the paper contains a crucial reference to the beautiful work of Aaron Trautwein on Harmonic Knots. See . See also .

Affiliated with

Also associated with

No associations

Rating

Fourier Knots does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fourier Knots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fourier Knots will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281800