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

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   Dec 5, 2023 · Conway's Game of Life is Omniperiodic. 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 called omniperiodic if there exist oscillators of all periods.

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

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   Conway’s Game of Life is a cellular automaton occurring on an infinite plane of square grid cells, each of which is in one of two states: alive or dead. The neighbourhood of a cell is the 8 cells that are connected orthogonally or diagonally to it.

3. www.reddit.com › r › cellular_automataConway's Game of Life finally proven to be OMNIPERIODIC after ...

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   Yesterday, Nico Brown has discovered a pattern with period 41, effectively answer a 50-year-long question: Life is indeed omniperiodic, meaning that oscillators of any period are possible. You can find an updated list of oscillators here!

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

   ui.adsabs.harvard.edu › abs › 2023arXiv231202799B

   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.

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

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   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.

6. www.semanticscholar.org › paper › Conway's-Game-ofConway's Game of Life is Omniperiodic - Semantic Scholar

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   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.

7. People also ask

   How many oscillators are there in Conway's game of life?

   • 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 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.

   [2312.02799] Conway's Game of Life is Omniperiodic - arXiv.org

   arxiv.org/abs/2312.02799

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   How did 208p41 prove Conway's game of life omniperiodic?

   • The discovery of 208P41 proved Conway's Game of Life to be omniperiodic because no period-41 oscillator had been discovered before! Oscillators of all other periods had either been discovered, of proven to be possible. For periods 62 and above, oscillators can be constructed using the Herschel loop.

   Conway's Game of Life finally proven to be OMNIPERIODIC after ... - Re…

   www.reddit.com/r/cellular_automata/comments/156j8ue/conways_game_of_life_finally_proven_to_be/

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   Is life omniperiodic?

   • 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.

   [2312.02799] Conway's Game of Life is Omniperiodic - arXiv.org

   arxiv.org/abs/2312.02799

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8. ncatlab.org › nlab › showConway's game of life in nLab - ncatlab.org

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   The Physics arXiv Blog, Mathematicians Prove the “Omniperiodicity” of Conway’s Game of Life (Dec 2024) Last revised on January 14, 2024 at 05:35:47. See the history of this page for a list of all contributions to it.