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Fractals are mathematical sets that exhibit self-similarity at every scale, meaning the closer you zoom in, the more complexity you find—a property with deep connections to chaos theory, complex analysis, and natural patterns from coastlines to snowflakes. This explorer renders the Mandelbrot set in real time, letting you zoom into any region to reveal infinite boundary detail, and switches to corresponding Julia sets for any seed point you click. Color maps encode escape-time iteration counts, turning a convergence criterion into stunning visual geography.
fractals · Mandelbrot set · Julia set · self-similarity · complex iteration · chaos theory
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