SMRTR Science & EngineeringSep 4, 2025John D. Cook

Minimalist Mandelbrot set

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The Mandelbrot set, a renowned fractal, comprises complex numbers where iterations of f(z) = z² + c stay bounded. At its core, the set has two main regions: a heart-shaped area where iterations converge to a point, and a disk-shaped region where double iterations converge to a fixed point. These components form the central structure, while the remaining portions exhibit complex bounded behaviors that create the fractal's intricate patterns.

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