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Dec 9, 2023 · Conway's Game of Life is omniperiodic, since there are oscillators of every period, with the last found period being p41 in July 2023. The last periods to be found are as follows: p39 (the first non-trivial example) in July 2000. p27 in November 2002. p51 (the first non-trivial example) in March 2009. p37 in April 2009.
The Game of Life, also known as Conway's Game of Life or simply Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970. [1] It is a zero-player game, [2][3] meaning that its evolution is determined by its initial state, requiring no further input. One interacts with the Game of Life by creating an initial ...
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.
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.
Jul 21, 2023 · Does Sparse Life or Dense Life ever reach a positive density? Can we build a border from which no information can escape? And there's another open problem that occurs to me now that omnipediodicity is solved, which is to look at the group of symmetries of Life (including time-shift symmetries) and classify exactly which subgroups are achieved ...
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!
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.
