Continuous Game of Life
What if Conway's Game of Life didn't have discrete cells and instead was continuous across space? There was a paper about it in 2011 and now it has been implemented in another python open source project called SmoothLife. It looks nothing like the original but has some very interesting properties to look at. Chaotic systems like this are always interesting to stare at.
Here is a video of another implementation demonstrating the paper by Rafler.