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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
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Is Conway's Game of Life omniperiodic?
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.
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 established a finite bound above which oscillators of every period could be built by running a signal around a specially constructed track.
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.
Dec 13, 2023 · In other words, is the Game of Life omniperiodic? Given the proof above, this boils down to the problem of finding oscillating patterns that repeat for every period from 1 to 43. The first few were relatively easy to find.
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.
4 days ago · Conway’s Game of Life (CGOL) is striking because it is simultaneously one of the simplest cellular automata in structure and yet, one of the most complex in behaviour. ([Berkelamp et al. 2004, Berkelamp et al. 2004]) ([Schiff. 2011, Schiff. 2011]). As the name suggests, CGOL is exceptionally subjectively lifelike, and yet the basic essence of ...
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.
