A Mandelbrot set is a very interesting mathematical object and luckily, it looks very good too. I won’t go into detail in describing how it’s calculated, there’s a good description in Wikipedia. However, an interesting problem is to find a good palette for it, but I haven’t done justice to it in this regard either, this was a very quick hack, I really should code a small tool to make nice palettes.

November 30, 2007 at 4:09 pm |
/me suggest you avoid blues for such experiments. Shades of blues are usually hard to distinguish for the human eye.
What about a hue-raster e.g. dark-blue-to-light-yellow-through-red?
November 30, 2007 at 10:52 pm |
Yes, you are right, but blue is my favorite color and I still didn’t code any good palette editor. Usually these fractals are presented with much nicer palettes, but I was not in the mood to find formulas that make a good palette. Stills, this logarithmic palette looks a bit better than the linear one, I believe.
January 11, 2008 at 10:08 pm |
[...] The Julia set is calculated very similarly to the Mandelbrot set, though it is a somewhat different mathematical [...]