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Mathematics

How the Mandelbrot Set Illustrates Chaos in Dynamical Systems

Quick fact

The Mandelbrot set is generated by a simple quadratic equation (z = z² + c) but produces an infinitely complex boundary that never repeats itself, no matter how far you zoom in.

Why this is interesting

You’ve probably seen the beautiful, swirling image of the Mandelbrot set. But did you know that this stunning picture is actually a map of chaos, built from one of the simplest equations in math?