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Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 1,377 articles.
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This week's featured article

Sawtooth260 pop.png

A sawtooth is a finite pattern whose population grows without bound but does not tend to infinity. In other words, it is a pattern with population that reaches new heights infinitely often, but also infinitely often drops below some fixed value. Their name comes from the fact that their plot of population versus generation number looks roughly like an ever-increasing sawtooth graph.

The first sawtooth was constructed by Dean Hickerson in April 1991 by using a loaf tractor beam (a technique that was also used in the construction of sawtooth 633). The least infinitely repeating population of any known sawtooth is 177, attained by Sawtooth 177; the smallest bounding box of any known sawtooth is 62x56, attained by a variant of the same pattern, Sawtooth 195

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
1.75 MB .zip archive containing the 1500+ RLE pattern files used on the wiki

Did you know...

  • ... that whilst no very small knightships have been found at all in B3/S23, at least two naturally occurring reactions have been discovered in B38/S23 that travel in an oblique direction?
  • ... that not all 1.00 volatility oscillators are phoenixes?
  • ... that no pattern inside a 6x6 bounding box is a Garden of Eden?
  • ... that Garden of Eden patterns with only 45 ON cells have been found?
  • ... that it is known that no Garden of Eden patterns exist that are 1, 2, or 3 cells high, but that it is currently an open question whether a 4-cell-high GoE can be constructed?
  • ... that 6-cell-high Garden of Eden patterns were constructed as far back as 1973, but 5-cell-high GoEs were unknown until Steven Eker found some in 2016?
  • ... that in 2016, patterns were found that have great-great-grandparents but no great-great-great-grandparents?
  • ... that no way is known for a 3x3 pattern to be tiled into an MxN rectangle to produce a Garden of Eden, but that there are 4x3, 4x4 and larger tiles that can be repeated in this way to produce GoEs?
  • ... that there are spaceship stabilizations of agars?
  • ...that there are 9,971,377 strict still lifes with population 25?          
Showing 10 items out of 84 More did you know...