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Revision as of 14:56, 16 September 2016
, 16 September 2016→Rule 110 Cellular Automaton
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Three localized patterns are of particular importance in the Rule 110 universal machine. They are shown in the image below, surrounded by the repeating background pattern. | Three localized patterns are of particular importance in the Rule 110 universal machine. They are shown in the image below, surrounded by the repeating background pattern. | ||
[[File:Rule 110 Pattern.png]] | [[File:Rule 110 Pattern.png|400px|left|thumb|Rule 110 Pattern (JohnnyNyquist, 2012)]] | ||
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The leftmost structure shifts to the right two cells and repeats every three generations. It comprises the sequence 0001110111 surrounded by the background pattern given above, as well as two different evolutions of this sequence. In the figures, time elapses from top to bottom: the top line represents the initial state, and each following line the state at the next time. | The leftmost structure shifts to the right two cells and repeats every three generations. It comprises the sequence 0001110111 surrounded by the background pattern given above, as well as two different evolutions of this sequence. In the figures, time elapses from top to bottom: the top line represents the initial state, and each following line the state at the next time. | ||