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the wiki for Conway's Game of Life.
Currently contains 1,235 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 As a result, patterns that are originally made up of 2×2 blocks will forever be made up of 2×2 blocks, but the block partition will be offset by one cell in the odd generations from the even generations.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 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?
  • ... that it was shown in 2014 that any salvo of gliders, no matter how tightly packed, can be constructed by crashing together gliders whose initial positions are farther apart than any chosen finite distance?          
Showing 10 items out of 57 More did you know...