Main Page

From LifeWiki
Revision as of 20:26, 10 December 2018 by Dvgrn (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 2,111 articles.
Overview · How to contribute · Image gallery · Popular pages · A–Z index

This week's featured article

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.

In the news

Archive@conwaylife on Twitter

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 the number of still lifes with N+1 bits is roughly 2.48 times larger than the number of N-bit still lifes?
  • ... that the odds of a randomly-chosen 20x20 soup pattern being a methuselah that lasts between 1000N and 1000(N+1) ticks, is roughly the same as the odds that it will last any amount of time longer than 1000x(N+1) ticks?
  • ... that all still lifes up to 16 cells can be synthesized at a cost of less than one glider per cell?
  • ... that the first elementary knightship, Sir Robin, was discovered only in 2018, with there having been a very close call in 2004?
  • ... that there is a 6x2 counterexample to the Coolout Conjecture, proving that patterns that are internally compatible with stability can not always be made part of a larger still life, no matter what cells are added around the edges?
  • ... that a Conway's Life pattern representing a complete programmable 8-bit computer, consisting only of buckaroos, p60 glider guns, and glider duplicators, was completed in November 2016?
  • ... that whilst no elementary oblique spaceships were found in B3/S23 until 2018, and none have occurred naturally, 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, but volatility 1.00 period 2 oscillators must be 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?          
Showing 10 items out of 100 More did you know...