Elliptic curve julia sets
 The following images are Julia sets obtained by iterating the following function.
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The first four julia sets shown below are modernized recreations of the julia sets which were created from such function and appeared in [1]. The second four were created using random choices of parameters.
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Scripts
  1. A short J script ec_julia.ijs to create the first image of this type.
  2. It requires chaotica+.ijs as well (installed in the fvj2 subdirectory of the J directory).

References
  1. Sandy D. Balkin, Elizabeth L. Golebiewski, and Clifford A. Reiter, Chaos and Elliptic Curves, Computers & Graphics, 18 1 (1994) 113-117.