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Revision as of 14:37, 1 April 2020

Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 2,573 articles.
Overview · How to contribute · ConwayLife.com Image gallery · A–Z index

This week's featured article

Gardenofeden4.png
A Garden of Eden is a pattern that has no parents and thus can only occur in generation 0. The term was first used in connection with cellular automata by John W. Tukey, many years before Conway's Game of Life was conceived. It was known from the start that Gardens of Eden exist in Life because of a theorem by Edward Moore that guarantees their existence in a wide class of cellular automata. The first Garden of Eden was found by Roger Banks and the MIT group in 1971. It had a bounding box of size 33 × 9 and 226 cells. Jean Hardouin-Duparc found the second and third Gardens of Eden by computer search in 1973, which had bounding boxes of size 122 × 6 and 117 × 6. His goal was to find Gardens of Eden with minimal height. In April 2016, Steven Eker found a Garden of Eden fitting inside a 5 × 83 bounding box. It is known that no Gardens of Eden exist with height less than 4, but the question is still open for height 4.

In the news

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 20 × 20 soup pattern being a methuselah that lasts between N and N + 1000 ticks, are roughly the same as the odds that it will last any amount of time longer than N + 1000 ticks?
  • ... that all still lifes up to 17 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 5 × 2 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 statorless oscillators are phoenixes, but statorless period 2 oscillators must be phoenixes?
  • ... that no pattern inside a 6 × 6 bounding box is a Garden of Eden?
  • ... that Garden of Eden patterns with only 45 live cells have been found?          
Showing 10 items out of 104 More did you know...