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After playing around a bit with a Mandelbrot demo I wrote some time ago, I decided to upload some screen shots, as the images produced do indeed look quite beautiful:
The trick was to tweak the colors in a way that shows more detail than just linearly interpolating from 0 to max iterations. Instead, I use a sine curve to get several color cycles, 4 for the range from 0 to max iterations in the screen shots above. In addition, each color component uses a different sine offset to obtain a colorful rendering rather than a greyscale image.