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Latest revision as of 19:58, 16 March 2020

Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 2,159 articles.
Overview · How to contribute · ConwayLife.com Image gallery · A–Z index

This week's featured article

Grandfatherproblemsolved small.png

The grandfather problem is the following question, posed by John Conway in 1972 in Lifeline Volume 6:

Is there a configuration which has a father but no grandfather?
Conway offered a $50 cash prize to "the first person to settle the grandfather problem either way". But the problem remained open until May 2016, when mtve presented such a pattern -- and, soon after that, a pattern with a grandfather but no great-grandfather, and another pattern with a great-grandfather but no great-great-grandfather.

In the news

Pattern collection

The LifeWiki contains one of the most comprehensive catalogues of patterns available on the internet. Within it you will find:
Download.gif Download pattern collection
2 MB .zip archive containing the 1500+ RLE pattern files used on the wiki

Did you know...

  • ... that all currently known standard Herschel conduits produce the same Herschel great-grandfather pattern, except for Fx158?
  • ... that eater 1 is the smallest asymmetric still life?
  • ... that in Life, no spaceship can exist with a speed of (m,n)c/x where (m+n)/x > 0.5?
  • ... that even without using fixed-cost reverse caber tosser technology, an N-bit strict still life – specifically, some length of long long (...) boat or barge – can be constructed for any odd integer N using no more than 39 gliders, and for any even integer N using no more than 38 gliders, using a temporary tubstretcher?
  • ... that even without using fixed-cost reverse caber tosser technology, an N-bit period-2 oscillator can be constructed for any odd integer N using no more than 45 gliders, and for any even integer N using no more than 46 gliders, using a temporary tubstretcher?
  • ... that it is currently an open question as to if there exists a periodic pattern whose only predecessors are its own evolutionary sequence?
  • ... that it was proved in the early 1970s that reflectorless rotating oscillators exist in Life, but none were found until 2018 when Adam P. Goucher completed the 0E0P metacell?
  • ... that there are currently known elementary spaceships with speeds c/7 and c/10 orthogonal, but none with c/8 or c/9?
  • ... that there are currently known elementary spaceships with speeds c/7 and c/12 diagonal, but none with c/8, c/9, c/10 or c/11?
  • ... that while the speed limit for orthogonal spaceships in rules using the Moore neighbourhood is c orthogonal, spaceships in Larger than Life rules are capable of breaking this barrier?          
Showing 10 items out of 103 More did you know...