The Buddhabrot Fractal is one of my favorite picture. There is a huge precision, lot's of details, and colors are amazing.

I didn't generate it by myself (I'll try when I have the time), but I took it from this picture created by UnreifeKirsche : http://upload.wikimedia.org/wikipedia/commons/8/82/Buddhabrot-W1000000-B100000-L20000-2000.jpg

You can select several parts of this picture, they all are really beautiful.
Mathematics are magic !