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From a theoretical point of view, it is interesting because it has the power of a universal Turing machine: that is, anything that can be computed algorithmically can be computed within Conway's Game of Life.Gardner wrote: The game made Conway instantly famous, but it also opened up a whole new field of mathematical research, the field of cellular automata ...For some, however, Life had more philosophical connotations.It developed a cult following through the 1970s and beyond; current developments have gone so far as to create theoretic emulations of computer systems within the confines of a Life board.At each step in time, the following transitions occur: The initial pattern constitutes the seed of the system.

Some frequently occurring examples of these three classes are shown below, with live cells shown in black, and dead cells shown in white.The universe of the Game of Life is an infinite two-dimensional orthogonal grid of square cells, each of which is in one of two possible states, alive or dead.Every cell interacts with its eight neighbours, which are the cells that are horizontally, vertically, or diagonally adjacent.During this early research, Conway discovered that the R-pentomino failed to stabilize in a small number of generations.In fact, it takes 1103 generations to stabilize, by which time it has a population of 116 and has fired six escaping gliders (these were the first gliders ever discovered).

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