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Dec 9, 2023 · A cellular automaton is said to be omniperiodic if it has oscillators of all periods. Conway's Game of Life is omniperiodic, since there are oscillators of every period, with the last found period being p41 in July 2023 .
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!
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 ...
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.
Dec 24, 2020 · I just spent the last two hours coding a simulation of Conway’s Game Of Life in Roblox! For those unaware, “Life” is a simple zero-player game where you arrange patterns on a grid where every square will follow four basic rules every cycle.
Jul 30, 2024 · Hello, I made Conway’s Game of Life in roblox, using Editable Images I’ve optimised it as much as possible demo video : i can even run it on a 1024x515 grid size while still having 4 fps (wich is enough t…
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.
