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Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 1,491 articles.
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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
2 MB .zip archive containing the 1500+ RLE pattern files used on the wiki

Did you know...

  • ... that 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 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 can be proved reflectorless rotating oscillators exist in Life, although none have yet been found or constructed?
  • ...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?
  • ...that without the use of adjustable glider loops, there are no known oscillators with periods 43, 49 or 53?
  • ...that without the use of Herschel loops or adjustable glider loops, there are no known oscillators with periods 57, 59 or 61?
  • ... that the largest interesting pattern constructed, the caterpillar, contains over 11 million cells?          
Showing 10 items out of 92 More did you know...