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1. • Omniperiodic

     • 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

2. People also ask

   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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   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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   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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   Is Conway's Game of Life omniperiodic?

   • Conway's Game of Life is not known to be omniperiodic based on the information provided. A 'glider elbow' or signal elbow with a recovery time less than 20 ticks could potentially prove omniperiodicity. However, no such elbow-like converter has been found.

   Life Lexicon - John Conway’s Game of Life - Bitstorm.org

   bitstorm.org/gameoflife/lexicon/

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   Is the game of life omniperiodic?

   • The final piece of Life's omniperiodic puzzle (source: arxiv.org/abs/2312.02799) Now Mitchell and co announce the work is done. “The search has finally ended, with the discovery of oscillators having the final two periods,” they say. This proves once and for all that the Game of Life is indeed omniperiodic.

   Mathematicians Prove the "Omniperiodicity" of Conway's Game of Life

   www.discovermagazine.com/the-sciences/mathematicians-prove-the-omniperiodicity-of-conways-game-of-life

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   What is Conway's game of life?

   • This universe consists of an infinite grid of squares that can be alive or dead and that, at each time step, can flip from one state to the other according to the states of the squares around it. This cellular automaton has since become known as Conway’s Game of Life and famous for the extraordinary complexity that emerges within it.

   Mathematicians Prove the "Omniperiodicity" of Conway's Game of Life

   www.discovermagazine.com/the-sciences/mathematicians-prove-the-omniperiodicity-of-conways-game-of-life

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

   arxiv.org › abs › 2312

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   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 ...

   www.discovermagazine.com › the-sciences

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

   arxiv.org › html › 2312

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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.

6. Videos

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     Conway's Game of Life: Part 1 (a gentle introduction / tutorial / explanation)

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     An Introduction to Conway's The Game of Life

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     📢 GAME OF LIFE finally proven to OMNIPERIODIC! ⠠⠵

     24 Jul 2023

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

   www.reddit.com › r › cellular_automata

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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!

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

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

   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.

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

   www.semanticscholar.org › paper › Conway's-Game-of

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

    ncatlab.org › nlab › show

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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.