Mandelbrot set at the cardioid left boundary The Mandelbrot set: its boundary is a fractal curve with Hausdorff dimension 2. (Note that the colored sections of the image are not actually part of the Mandelbrot Set, but rather they are based on how quickly the function that produces it diverges.) Mandelbrot set with 12 encirclements Zooming into the boundary of the Mandelbrot set In mathematics, a
![Fractal - Wikipedia](https://cdn-ak-scissors.b.st-hatena.com/image/square/929ff23747ed316c4069754881630247651ef7ce/height=288;version=1;width=512/https%3A%2F%2Fupload.wikimedia.org%2Fwikipedia%2Fcommons%2Fthumb%2F2%2F26%2FFr137.jpg%2F1200px-Fr137.jpg)