Utter Chaos

[Pauldelbrot]

Utter Chaos



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15847

A Triskelion Julia set related to "Siegels and Seahorses Forever", which has five basins. Adding a factor of z somewhere produced an attracting basin at zero (pale blue, with internal angle based coloring) in addition to the original white seahorse basin (period 25, petals with attractor points surround a repelling fixed point at omega squared), red Siegel basin (attracting Siegel disk centered at omega), and dark blue Siegel basin (golden mean Siegel disk itself centered at 1). Further tweaking the t parameter caused a fifth basin to pop up (green "snakes", with a period-2 attractor associated with neither zero nor any of the cube roots of 1).

[youhn]

The pale blue things remind me of some kind of shell sea creature. The white spider-like shapes on the left draw the most attention. Probably the hypnotizing effect of the center. I got the feeling most people are focus on the inner shapes of Mandelbrot-like sets. You seem to focus on the outer shapes, which could be seen as the "real" shapes if the set would function as a mould. Although I still don't like this particular color combination (too much saturation), I begin to like the focus on basins like this. This really is a search-and-explore picture.