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      • Conway's Game of Life is omniperiodic, since there are oscillators of every period, with the last found period being p41 in July 2023.
      conwaylife.com/wiki/Omniperiodic

      Omniperiodic - LifeWiki

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  3. arxiv.org › abs › 2312[2312.02799] Conway's Game of Life is Omniperiodic - arXiv.org

    Dec 5, 2023 · At the turn of the millennium, only twelve oscillator periods remained to be found in Conway's Game of Life. The search has finally ended, with the discovery of oscillators having the final two periods, 19 and 41, proving that Life is omniperiodic.

  4. www.discovermagazine.com › the-sciencesMathematicians Prove the "Omniperiodicity" of Conway's Game ...

    Dec 13, 2023 · Back in 1970, the mathematician John Conway created a game with no players that evolves entirely from its initial state. The game is set in a kind of computational universe called a cellular automaton.

  5. www.quantamagazine.org › maths-game-of-lifeMath’s ‘Game of Life’ Reveals Long-Sought Repeating Patterns

    Jan 18, 2024 · John Conway’s Game of Life, a famous cellular automaton, has been found to have periodic patterns of every possible length. This pattern in the Game of Life repeats itself after 41 steps. Its recent discovery ends a decades-long quest to show that Life is omniperiodic. DVDP for Quanta Magazine.

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  7. arxiv.org › html › 2312Conway’s Game of Life is Omniperiodic - arXiv.org

    Conway’s Game of Life is by far the most famous cellular automaton. David Buckingham first established a finite bound above which oscillators of every period could be built by running a signal around a specially constructed track.

  8. arxiv.org › pdf › 2312arXiv:2312.02799v1 [math.CO] 5 Dec 2023

    December 5, 2023 In the theory of cellular automata, an oscillator is a pattern that repeats itself after a fixed number of generations; that number is called its period. A cellular automaton is omniperiodic if there exist oscillators of all periods. Conway’s Game of Life is by far the most famous cellular automaton. David Buckingham first

  9. www.semanticscholar.org › paper › Conway's-Game-of[PDF] Conway's Game of Life is Omniperiodic - Semantic Scholar

    Dec 5, 2023 · A cellular automaton is called omniperiodic if there exist oscillators of all periods. At the turn of the millennium, only twelve oscillator periods remained to be found in Conway's Game of Life. The search has finally ended, with the discovery of oscillators having the final two periods, 19 and 41, proving that Life is omniperiodic.

  10. ui.adsabs.harvard.edu › abs › 2023arXiv231202799BConway's Game of Life is Omniperiodic - NASA/ADS

    At the turn of the millennium, only twelve oscillator periods remained to be found in Conway's Game of Life. The search has finally ended, with the discovery of oscillators having the final two periods, 19 and 41, proving that Life is omniperiodic.

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