William R. Jones and Cliff Reiter, Cauchy Curves, Vector, 24 1 (2008) 109-120.

Cauchy’s Integral theorem guarantees that certain complex integrals along closed paths are zero. This means that the intermediate values of ‘partial path integrals’ themselves form paths. We explore the marvelous variety of curves that arise this way using J’s excellent facilities for complex arithmetic and plotting.

See also: · Article on Vector Web Site · Some Example script and materials. · [Auxiliary materials]