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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
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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.
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.
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.
Dec 5, 2023 · In a groundbreaking discovery, Nico Brown, Carson Cheng, Tanner Jacobi, Maia Karpovich, Matthias Merzenich, David Raucci, and Mitchell Riley have proven that Conway's Game of Life is omniperiodic by finding oscillators with periods 19 and 41.
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.
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.
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. Which is basically a stream of gliders being ...
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