How does Mandelbrot art work?

The Mandelbrot set is a mathematical object. It exists in the complex plane, meaning the numbers it contains are both real, imaginary, and combinations of both. The black space in the image below is the Mandelbrot set.

The fringes of the Mandelbrot set are where things get interesting. The criteria for what numbers “should” or “should not” be in the set becomes more obscure, allowing us to be a bit more creative with coloring. Typically, the more it seems like a point “should” be in the set, the darker we make it. However, I also am interested in applying more interesting color schemes.

Part of the beauty of the Mandelbrot set is that as one zooms in on a given area near the fringe of the set, the complexity does not decrease. We continue to see highly complex structures as we descend deeper and deeper into the set. Below is an image found by zooming way into the fringes of the right side of the Mandelbrot set.

Each image has a location, given by the real and imaginary numbers at that particular point on the Mandelbrot set. Because of the set’s infinite complexity, it is possible for me to find points on the set that correspond to numbers that you find important. They could be the dates of birthdays or anniversaries, or even phone numbers of loved ones. This makes your image even more unique, as it is determined by numbers that are meaningful in your life. Each image I sell is unique, and it is my promise to never sell the same work twice.