Mathematics is beautiful in itself; it is delightful when a piece of a structure falls into place, like when you understand or prove certain theorems. But mathematics can be beautiful in a more prosaic way, too, via being used as a tool to generate art of a visual or auditory kind. Fractal images have a special place in the pantheon of art derived from mathematics; I will in particular recommend the gallery I lifted the above image from, as the pictures are of exceptional high quality. Click the image, and enjoy!