Julia sets of Weierstrass Elliptic P functions with a real triangular lattice
This image was created based on results of L. Koss and J. Hawkins
and the program used here was written by M. Taylor.
If a triangular lattice has one attracting fixed point, then it has three
of them. This is the image of 9 fundamental periods. The Julia set is white, and the basins of attraction are colored
according to the fixed point to which a point is attracted. The Julia set is known to be connected for all triangular
lattices.
For
comments/suggestions about this page, mail: jmh@math.unc.edu
August, 2003