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1/f fluctuation in the "Game of Life" |
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AbstractThe Fourier power spectra are examined for the Game of Life and its variants. The results show that only the Game of Life exhibits 1/f fluctuation. By means of observing patterns and measuring entropy and difference pattern spreading rate, we conclude that the Game of Life only belongs to Wolfram's class-IV cellular automata which are thought to be capable of supporting universal computation. This predicts a connection between 1/f fluctuation and computational universality.
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