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Use the letters in his Scientific American column on mathematical puzzles.
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Letters to Martin Gardner on various mathematical games. While John Conway was an undergraduate at Cambridge University, he would write The Game of Life was first published in the Martin Gardner’s column in Octoberġ970 issue of Scientific American, resulting in the greatest number of letters from The basic Game of Life is very easy to implement in almost any computer language. The Game of Life generates what Wolfram has called ‘class 4’ cellular automata behaviour that is, behaviour which is neither completely random nor completely repetitive (Wolfram, 2002). There should be simple initial patterns that grow and change over some time, before coming to end in three possible ways: fading away completely (from overcrowding or becoming too sparse) settling into a stable pattern that remains unchanged thereafter, or entering an oscillating phase in which they repeat an endless cycle of two or more periods.There should be initial patterns that apparently do grow without limit.There should be no initial pattern for which there is a simple proof that the population can grow without limit.The Game of Life rules were carefully chosen by Conway to satisfy three simple criteria (Gardner, 1970):
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Time steps are sometimes called ‘generations’. The initial state of the game is the ‘seed’ and all cells are updated simultaneously. Rule 1 represents ‘death by under-population’ rule 2 represents ‘sustainable life’ rule 3 represents ‘death by over-population’, and rule 4 represents ‘birth’. These rules can be thought to represent basic processes of life and death, motivating the name ‘Game of Life’.
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The Game of Life (sometimes known simply as Life) is an example of a cellular automaton and a zero-player game. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopediaĭr.