What is The Game of Life?

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The Game of Life is a cellular automaton that replicates the survival and death of populations based on predefined rules. John Conway, a mathematician at Princeton University, released the Game of Life in 1970. The Game of Life is an unpredictable simulation. When a portion of a board setup achieves symmetry the symmetry is maintained unless the formation merges with another. The symmetry can increase and become very complicated.

The game operates on a two dimensional grid and cells live or die based on the states of their neighbors. Dead cells are black and live cells are green and neighbors are defined as adjacent cells including diagonals. The game operates under two sets of rules that determine which cells live and die on the next cycle. Under the first set of rules a live cell with two or three living neighbors stays alive. If a live cell has four or more neighbors that are alive it dies of overcrowding. A live cell with one or less living neighbors also dies of loneliness. Dead cells with exactly three live neighbors become alive. The second set of rules changes all of the numbers in the first set to twos. So if a living cell has two living neighbors it dies, and a dead cell with two living neighbors dies. All cell updates occur at once and are considered a generation or cycle.

This version of the game includes a feature called infection. The infection starts randomly in one of the live cells and is identified as red. By default the infection is introduced on the thousandth iteration but the user can change that value when the program starts, or remove the infection completely. In the next cycle it spreads to all of its live neighbors and the infected cell dies. If the infected cell did not have any living neighbors ...

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...d are still spreading indefinitely. When the infection is added it does not spread very far and dies out. Then the populations continue spreading indefinitely.

The Game of Life is a population simulation implemented with cellular automaton. The cells live, die, or become infected depending on their number of neighbors that are living, dead or infected. In this version of the game two sets of rules are used. The first set causes the populations to die or become stable more easily and the second set allows the populations to grow and spread indefinitely.

Works Cited

"Conway's Life." Conways Life RSS. N.p., n.d. Web. 26 Mar. 2014.

Gardner, Martin. "MATHEMATICAL GAMESThe Fantastic Combinations of John Conway's New Solitaire Game "life"" Scientific American 223.4 (1970): 120-23. Conway's Game of Life: Scientific American, October 1970. Web. 24 Mar. 2014.

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