John Conway’s Game of Life, a famous cellular automaton, has been found to have periodic patterns of every possible length.
This pattern in the Game of Life repeats itself after 41 steps. Its recent discovery ends a decades-long quest to show that Life is omniperiodic.
January 18, 2024
https://www.quantamagazine.org/maths-game-of-life-reveals-long-sought-repeating-patterns-20240118/