Game of Life

The Game of Life is a cellular automaton invented by mathematician John Conway. It consists of a grid of cells that can be alive or dead. With simple rules, each cell's state updates based on its neighbors: a live cell with 2 or 3 neighbors stays alive; a dead cell with exactly 3 neighbors becomes alive. These rules are applied repeatedly, creating complex patterns and behaviors from simple beginnings. The game models how local interactions can lead to emergent complexity, often used to explore mathematical concepts, algorithms, and systems capable of self-organization.