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This was news to me! There’s another fractal pattern derived from the Mandelbrot set which I’d never seen before:
As it turns out, it’s not just the boundary of the Mandelbrot set that’s mind-bogglingly complex: the same goes for the (xn, yn) escape trajectories associated with the (u, v) pixels near the set’s edge. The iterated coordinates follow elaborate, long-winded paths through space; their ethereal trails form a density plot reminiscent of the Mandelbrot fractal itself.
(tags: fractals mandelbrot buddhabrot graphics maths via:lcamtuf)