Mathematician John Conway came up with this "game", the Game of Life, which is a type of cellular automata. Essentially there's a big grid of cells, coloured white for alive, black for dead. The "player" decides a starting configuration, generation 0, then hits play. At each new generation a set of rules are applied to decide which cells die, give birth or stay as they are.

Setting very geometric and fractal like initial positions leads to some interesting behaviours. I do not know why these patterns occur, nor do I know any rules for good what makes a good fractal for Game of Life. Most of this came out of experiments and trial and error.

Hopefully it is pleasing to watch at least, enjoy.