@mathr What's happening here?
Is this like Mandelbrot fractals except you use a different formula for each step of the iteration?
@gaeel yes that's it: the second one has first iteration Mandelbrot, then two iterations of Burning Ship, then one more iteration of Mandelbrot, then repeat the 4 steps in a loop until the pixel escapes (or you give up).
@mathr I tried Julias but they didn't look very good
@gaeel you mean Julia-style rendering (c constant, z_0 set to pixel) of the formulas I posted? I haven't tried, but I suspect using the Mandelbrot-style rendering (c set to pixel, z_0 set to 0) can help find good c values to try out.
@gaeel oh ok. I've done some Nebulabrot/Buddhabrot stuff in the past, it's fun to have more than 3 channels to map to RGB later.
it's probably not surprising that it's not so interesting with Julia technique, because the Julia set is invariant under iteration, and the filled-in Julia set mostly goes to a periodic attractor (well, there are some aperiodic ones for the Burning Ship I think, see https://math.stackexchange.com/questions/3234950/bounded-aperiodic-orbits-in-the-burning-ship )
@mathr That certainly explains what I saw, yeah, usually a few EXTREMELY hot spots and nothing anywhere else
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