I'm continuing looking through a number of user-written Fractint formulas to see what there is to see. In many cases, there seems to be a bit of a "monkeys at the typewriter" approach, where more-or-less random instructions are programmed just to see what happens. Sylvie Gallet doesn't write formulas like that - her custom formulas are complex and well structured, written with a particular goal in mind. In this case, the goal appears to have been to create something very much like a kaleidoscope. I need to play with the formula some more to understand exactly how this effect is achieved. The iteration code is essentially the same as for a Mandelbrot fractal, z=z*z+c. But setting the initial conditions is where all the work is done, and the code is lengthy and complex.
This path traces another Lissajous curve, one of my favourite methods of doing test animations. In this case, the parameter ranges are relatively small, never exceeding values of -1 to +1. Also, the entire Lissajous curve is traced during this parameter walk. At the end of the animation, we're right back to where we started at the beginning.
2000 frames - 1280x720, 2x2 anti aliasing - render time 14 hours 19 minutes
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