After taking a few months off for a summer break, I am back to making fractal animations. My first one of the fall season is a fairly simple zoom into a stucture in the cusp of the Mandelbrot set that I made into a still image years ago. William of FractalWizz suggested I zoom into it, and that is how this video was inspired. The zooming continues into a mini M-set deeper into the target structure, to a final size of about 6e-40.
http://www.hpdz.net/Anim_Project17.htmI used 9x oversampling with a median filter for anti-aliasing. Of course, there is still quite a lot of pixel sparkle, but there is always going to be some (well, maybe if I tried a 10x10 oversampling grid, but then it would never get done). This took 522 hours on my 2.4 GHz quad-core Core2 system.
This video also demonstrates a new method for colorizing the fractal, something remarkably simple yet remarkably effective. It is so simple I resisted implementing it in code because I thought it wouldn't work very well. A rough description is on the web site page given above. I have a few other projects in development that I've tried colorizing with this approach, and much to my surprise it has so far worked better than any of the much more sophisticated techniques I have tried.
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