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The Game of Life, also known as Conway's Game of Life, is a cellular automaton devised by mathematician John Horton Conway in 1970. It is a simulation of a simplified model of life in which cells evolve based on a set of predefined rules.

The Game of Life takes place on a grid of cells, which can be in one of two states: alive or dead. The game progresses in generations, with the state of each cell in a generation determined by the states of its neighboring cells. The rules for cell evolution are as follows:

Any live cell with fewer than two live neighbors dies, as if by underpopulation. Any live cell with two or three live neighbors lives on to the next generation. Any live cell with more than three live neighbors dies, as if by overpopulation. Any dead cell with exactly three live neighbors becomes a live cell, as if by reproduction.

These rules govern the birth, death, and survival of cells, leading to patterns and behaviors that can be visually interesting and complex. The initial state of the grid is set by the user, and then the game progresses by repeatedly applying the rules to generate subsequent generations.

The Game of Life is not considered a conventional game with winning or losing conditions. Instead, it serves as an example of a cellular automaton and a field of study within mathematics and computer science. It has been of interest to researchers due to its ability to produce emergent patterns and behaviors from simple rules, often mirroring the patterns observed in natural systems.