Mandelbrot set

The Mandelbrot set is a complex mathematical shape created by iterating a simple formula involving complex numbers. Starting with a number, you repeatedly apply the formula, and if the results stay bounded (don't grow infinitely large), the original point belongs to the set. When visualized, the boundary of the set reveals intricate, infinitely detailed patterns, showcasing self-similarity and complexity emerging from simple rules. It's a fascinating example of how simple mathematical processes can generate stunning, complex structures, linking chaos and order in mathematical and visual forms.