As an undergraduate I took a course on emergent phenomena — collective behaviors that arise from individual action. One of the most elegant examples we studied was Conway’s Game of Life. Devised by British mathematician John Conway, the Game of Life is played on an infinite 2-dimensional grid where each cell can occupy one of two states: dead (0) or alive (1). The world is initialized in a random state and three simple rules govern how each grid cell evolves [1]:
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