Barnsley Fern
The Barnsley fern is a self-similar fractal. That is, every leaf is the full fern, all the way down into infinity. Here it is moddled with repeated random sampling. Each sample transforms a pixel, onto the stem or leaves of whatever branch it's on currently. With enough samples, the fern starts to form. With an infinite number of samples (and an infinitely high res screen) the fern detail would continue forever.
This is an example of "scale invarience" which is seen in nature a lot. Where the micro mirrors the macro. In nature this could be clouds flowing like waves, dust piles forming like tiny mountains, tiny fungi forming tree-like shapes, or even the structures between galaxies forming patterns resembling that of neurons in our brains!