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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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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 13, 2023 · This cellular automaton has since become known as Conway’s Game of Life and famous for the extraordinary complexity that emerges within it. This computational universe is home to beacons that flash, pulsars that beat time and “gliders” and “spaceships” that fly across the computational sky.
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 ...
- Large-period Oscillators
- Other Rules
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In October 1996, David Buckingham wrote the article My Experience with B-heptominos in Oscillators that describes his discovery of Herschel conduits, including sufficient stable conduits to enable, for the first time, the construction of period n oscillators for every n ≥ 58, and true period n guns for every n≥ 62. The discovery of the Snark by Mik...
By running Dean Hickerson's drifter searcher to find signals that can be manipulated like Herschels, it is possible to prove that a variety of Life-like cellular automata are omniperiodic. However, these signals are more like the 2c/3 signal, in that they operate on a dense background and can closely follow each other. There is a significant possib...
Nico Brown, Carson Cheng, Tanner Jacobi, Maia Karpovich, Matthias Merzenich, David Raucci, Mitchell Riley (December 5, 2023). "Conway's Game of Life is Omniperiodic". arXiv.My Experience with B-heptominos in Oscillators at the Life LexiconOmniperiodic at the Life LexiconIs Life omniperiodic? at Game of Life News. Posted by Adam P. Goucher on January 16, 2011.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.
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 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.
