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Conway's Game of Life was created by mathematician John Conway in 1970.
The Game of Life, an example of a cellular automaton, unfolds on an infinite two-dimensional grid of cells. Each cell exists in one of two states: alive or dead. With every turn, known as a generation, the state of each cell changes based on the status of its eight surrounding neighbors. These neighbors are any cells that touch it, whether horizontally, vertically, or diagonally.
The starting configuration is called the first generation. The second generation emerges when the rules are applied simultaneously to every cell on the board, meaning births and deaths occur at the same time. This process is then repeated to create subsequent generations. In each generation, a cell’s next state is determined by a simple set of rules:
A live cell remains alive only if it has exactly 2 or 3 live neighbors.
A dead cell becomes alive only if it has exactly 3 live neighbors.
Naturally, countless rule variations exist by altering the numbers that determine a cell's survival or birth. Conway tested many such alternatives before settling on these specific rules. Some variations cause populations to vanish quickly, while others spread endlessly across the universe. The chosen rules lie near the boundary between these extremes, and as with other chaotic systems, the most complex and fascinating patterns often emerge where expansion and extinction are perfectly balanced.
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