Here’s another fractal that was in the final cut to submit to the fractal contest at the Fractalus site. Now that all of the entries are on display, I can see that the ones I submitted probably don’t have a chance. (If you haven’t already, check it out! The contest site is now the best fractal display on the Web!) However, I would have have had a little better chance if I had submitted this one and/or the previous “Fractal of the Week.”
When I originally generated this fractal, it had a much simpler color map (see the alternate colorings below). I thought it was pretty good already, but exploring different colorings using the random color map feature of Fractal Domains, I saw that there were some structures in the fractal not clearly revealed by the original smooth mapping. I then set out to color in the structures I had observed with hand-chosen colors with the explicit goal of creating a very colorful and “dazzling” fractal for the fractal contest.
I liked the result but ultimately I didn’t like it enough to make this one of the three that I submitted. My family didn’t particularly like my hand-colored fractal but did like one of the original, simpler colorings and encouraged me to enter that one in the contest. Ultimately I didn’t enter any of them…
This is a Julia set based on the “inverse Mandelbrot set” formula 1/(z^2 + c), c = 0.67
Following are some alternate colorings (click on the image to see full size):