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- 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.
arxiv.org/abs/2312.02799[2312.02799] Conway'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.
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 · This proves once and for all that the Game of Life is indeed omniperiodic. Mitchell and co’s paper describes all 43 of these oscillators along with the techniques that computer scientists and mathematicians have developed to find them and build ever more capable oscillators.
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.
Theorem. Life is omniperiodic. 1 Conway’s Game of Life Conway’s Game of Life [14] 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.
Sep 21, 2024 · 204P41 is a period-41 oscillator found by Nico Brown on July 21, 2023, and is the first period-41 oscillator to be discovered. [1] [2] Its discovery proved that Conway's Game of Life is omniperiodic. It was originally found as 208P41, and the blinker eaters were quickly reduced by two cells each.
