It is one of the most famous Cellular automata rule, invented as a game by mathematician John Conway.
Learn the game of life with a neural network
This paper investigates how hard it is for neural networks to approximate the Game of Life rule (Springer, Kenyon 2020).
Martin Gardner. . "Mathematical Games". Scientific American 223 (4):120–23. DOI.
Jacob M. Springer, Garrett T. Kenyon. . "It's Hard for Neural Networks to Learn the Game of Life". Arxiv:2009.01398 [cs, Stat]. http://arxiv.org/abs/2009.01398.