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Question: When John Conway proposed ‘The Game of Life', he conjectured that no pattern could grow without limit; that is, no configuration with a finite number of live cells can grow beyond a finite upper limit to the number of live cells in the cellular automaton. He offered the prize of US$50 to the first person who could prove or disprove this conjecture. (At that time, US$50 was good money!) How would you disprove it?

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