The Mandelbrot Set is located on the complex plane. That is simply a two dimensional graph with real numbers on one axis, and imaginary number on the other. (Imaginary numbers, you may remember from algebra are multiples of the square root of -1). In effect, this graph represents all of " God's numbers). By using a very simple formula which uses iteration (the answer is plugged back into the formula, the result is either bounded and therefore belongs to the set or it spirals off to infinity. The rate at which the result spirals to infinity will cause it to be assigned an arbitrary color. By plotting the results, you produce a geometric figure, a fractal, in fact. If you magnify the edge of the figure, you will always find new and unusual complications. The boundary of figure is, in fact, infinite. You could never measure it. Go to Youtube and type in "Mandelbrot Set". There are dozens of "magnifications" that will take you on a spectacular "journey" deeper into the set. You could never explore it all. You will even come across mini Mandelbrot sets embedded all over the place.
Not to wax too metaphysical, but this geometric figure has always existed. Its structure, its properties, have been around for billions of years waiting for us to discover it. I took the confluence of technology and mathematical insight to find it. To me, this was one of God's "Easter Eggs" planted for us to find. Plus it goes great with Pink Floyd music.