One area of the mathematics of complexity that has received a lot of attention for decades is that of fractals. These wonderful mathematical objects that repeat across spatial scales have been used to produce a wealth of beautiful art. We love collecting these pictures in our Fractal Art board on Pinterest so do follow it.
Fractals are remarkable mathematical objects with structures that repeat at many different scales. Looking at a static picture of a fractal allows some appreciation of this property and the intrinsic beauty of the object. But seeing fractals dynamically, as in this video, by zooming in to smaller and smaller scales provides a great perspective. Do go to full screen for the full effect.