Making up new fractals is surprisingly easy. The most famous one (that you’ll find on posters in dorm rooms) is the “Mandelbrot set”, followed by the “Sierpinski Triangle”. This sort of idea: take a shape and then populate it with smaller versions of itself, is arguably the most common way to generate fractals. The Mandelbrot set on the other hand involves complex numbers and computing power that wasn’t available until the ’80s. Almost every time you see the Mandelbrot set, colors are included that indicate how fast the strings generated by numbers not in the set blow up.