Immerse yourself in a tranquil journey, finding awe in the beauty of math. Embark on an adventure where the goal is exploration and the discovery of infinite art through the wonders of fractals.

The Mandelbrot set, defined by the equation z = z^2 + c, is a classic example of a fractal that produces intricate, self-repeating designs. The fusion of mathematics and art is not a novel concept.

But, as with many things in math, one of the earliest foundational studies of what would be later described as fractals came from a surprisingly difficult question: How long is the coastline of ...