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the wiki for Conway's Game of Life.
Currently contains 1,240 articles.
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This week's featured article

2x2.png
2×2 is a Life-like cellular automaton in which cells survive from one generation to the next if they have 1, 2 or 5 neighbours, and are born if they have 3 or 6 neighbours. That is, it is governed by the rulestring "B36/S125". Patterns under the rule have a chaotic evolution similar to those under the standard Life rules, but the chaos tends to die out much more quickly. The 2×2 rule gets its name from the fact that it can emulate a simpler cellular automaton that acts on each 2×2 block. The emulated automaton is a block cellular automaton that makes use of the Margolus neighbourhood. As a result, patterns that are originally made up of 2×2 blocks will forever be made up of 2×2 blocks, but the block partition will be offset by one cell in the odd generations from the even generations. There are 212 = 4096 such Life-like automata, of which 2×2 is the most well-known.

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
2Mb .zip archive containing the 3000+ pattern files used on the wiki

Did you know...

  • ... that several candidate universal constructors have been demonstrated in Conway’s Life, but as of June 2015 none have been formally proven to be universal?
  • ... that there are dozens of known Cordership variants, including puffers, rakes and wickstretchers, with periods of any multiple of 96?
  • ... that greyships have been constructed with speeds of c/2, c/3, c/4, c/5 and 2c/5?
  • ... that most greyships travel parallel to the stripes in their included agars, but a few travel perpendicular to the stripes, or "against the grain"?
  • ... that a pattern has been constructed that calculates and prints out the digits of pi in decimal, and a similar one prints out the decimal digits of the Golden Ratio?
  • ... that several different patterns have been constructed to calculate and display the sequence of prime numbers, and some have been adapted to display only prime pairs or Fermat primes?
  • ... that two completely different types of knightships, the waterbear and the half-baked knightship, were constructed in 2014?
  • ... that no Caterpillar-type spaceships were completed for almost ten years after the original Caterpillar was constructed in 2004, but that two different designs, the waterbear and the centipede, were finished in 2014?
  • ... that the first spiral-growth pattern in Conway's Life was constructed in 2014?
  • ... that among known glider recipes for irreducible objects, the Gemini spaceship has the largest known minimal recipe, currently 175,167 gliders -- the runner-up being the Parallel HBK with a 38,380-glider synthesis?          
Showing 10 items out of 57 More did you know...