Conway’s Game of Life
Conway’s Game of Life is a very famous 2D Cellular Automaton. It uses a simple rule to give rise to a complex system that is capable of universal computation, in addition to its ability to entertain and fascinate.
CellPyLib has a built-in function,
game_of_life_rule(), that can be used to produce
the Game of Life 2D CA:
import cellpylib as cpl # Glider cellular_automaton = cpl.init_simple2d(60, 60) cellular_automaton[:, [28,29,30,30], [30,31,29,31]] = 1 # Blinker cellular_automaton[:, [40,40,40], [15,16,17]] = 1 # Light Weight Space Ship (LWSS) cellular_automaton[:, [18,18,19,20,21,21,21,21,20], [45,48,44,44,44,45,46,47,48]] = 1 # evolve the cellular automaton for 60 time steps cellular_automaton = cpl.evolve2d(cellular_automaton, timesteps=60, neighbourhood='Moore', apply_rule=cpl.game_of_life_rule, memoize='recursive') cpl.plot2d_animate(cellular_automaton)
Conway, J. (1970). The game of life. Scientific American, 223(4), 4.