Conway's Game of Life

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Revision as of 06:17, 7 May 2024
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The universe of the Game of Life is [[Square tiling|an infinite, two-dimensional orthogonal grid of square]] ''cells'', each of which is in one of two possible states, ''live'' or ''dead'' (or ''populated'' and ''unpopulated'', respectively). Every cell interacts with its eight ''[[Moore neighborhood|neighbors]]'', which are the cells that are horizontally, vertically, or diagonally adjacent. At each step in time, the following transitions occur:The universe of the Game of Life is [[Square tiling|an infinite, two-dimensional orthogonal grid of square]] ''cells'', each of which is in one of two possible states, ''live'' or ''dead'' (or ''populated'' and ''unpopulated'', respectively). Every cell interacts with its eight ''[[Moore neighborhood|neighbors]]'', which are the cells that are horizontally, vertically, or diagonally adjacent. At each step in time, the following transitions occur:
#Any live cell with fewer than two live neighbors dies, as if by underpopulation.#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 two live neighbors lives on to the next generation.
#Any live cell with more than three live neighbors dies, as if by overpopulation.#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.#Any dead cell with exactly three live neighbors becomes a live cell, as if by reproduction.

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