Conway's Game of Life finally proven to be omniperiodic after 54 years

Conway's Game of Life finally proven to be omniperiodic after 54 years(twitter.com)

28 points by AlanZucconi 3 years ago | 6 comments

I could not find any definition for “omniperiodic”.

klyrs 3 years ago | |

In Conway's Game of Life, there exist "periodic" patterns for all n>0 such that the n-th pattern has n distinct states which repeat in a loop.

A jargon-heavy history of the problem: https://conwaylife.com/wiki/Omniperiodic

gargablegar 3 years ago | | |

How are these new periodic functions p19 and p41 different from those that came before. It seems like there many other previous cases of Omniperiodicity.

Edit: ok so it seems they had solved for certain periods above some numbers but not for all periods - this month saw the last two being found.

The link has more https://conwaylife.com/wiki/Oscillator

turboponyy 3 years ago | | |

So how exactly does finding a 41p state prove omniperiodicity?

ttfkam 3 years ago |

Sad he did not live to see it due to Covid.