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the wiki for Conway's Game of Life.
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This week's featured article

10cellinfinitegrowth.png
A finite pattern is said to exhibit infinite growth if it is such that its population is unbounded. That is, for any number N there exists a generation n such that the population in generation n is greater than N. The first known pattern to exhibit infinite growth was the Gosper glider gun. In 1971, Charles Corderman found that a switch engine could be stabilized by a pre-block in a number of different ways to produce either a block-laying switch engine or a glider-producing switch engine, giving several 11-cell patterns with infinite growth. This record for smallest infinitely-growing pattern stood for more than quarter of a century until Paul Callahan found, in November 1997, two 10-cell patterns with infinite growth. Nick Gotts and Paul Callahan have since shown that there is no infinite growth pattern with fewer than 10 cells, so the question of the smallest infinite growth pattern in terms of number of cells has been answered completely.

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 now over fifty known Herschel conduits, counting stable conduits only, and more than twice that number if oscillator-supported conduits are included?
  • ... that Demonoids, caterloopillars and half-bakery knightships are the only known types of spaceships with fixed slope but adjustable speed?
  • ... that a pattern exists in which no cell in the unbounded Life plane ever becomes periodic?
  • ... 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?          
Showing 10 items out of 57 More did you know...