The Mandelbrot set has been the icon for the beauty of mathematics. As you zoom deeper and deeper inside, there will be many glorious and interesting patterns, structures, and of course, little copies of the set itself, as it is a fractal.
After exploring the set, I have found some interesting places that I think they are worth taking a picture and being selected as the wallpaper.
All of these images are 1366.768 pixels, so they should fit in an average screen. Licensed under Creative Commons Attribution ShareAlike (CC-BY-SA) 4.0.