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| style="font-size:95%; padding:10px 0; margin:0; text-align:left; white-space:nowrap; color:#000;" | [[LifeWiki:About|Overview]] '''·''' [[LifeWiki:Editor pages|How to contribute]] '''·''' [[ConwayLife.com:About|ConwayLife.com]]
| style="font-size:95%; padding:10px 0; margin:0; text-align:left; white-space:nowrap; color:#000;" | [[LifeWiki:About|Overview]] '''·''' [[LifeWiki:Editor pages|How to contribute]] '''·''' [[ConwayLife.com:About|ConwayLife.com]]
| style="font-size:95%; padding:10px 0; margin:0; text-align:right; white-space:nowrap; color:#000;" |[[:Category:Static_images|Image gallery]] '''·''' [[Special:Popularpages|Popular pages]] '''·''' [[Special:AllPages|A–Z index]]
| style="font-size:95%; padding:10px 0; margin:0; text-align:right; white-space:nowrap; color:#000;" |[[:Category:Static_images|Image gallery]] '''·''' [[Special:AllPages|A–Z index]]
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| <h2 style="margin:0; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;">In the news</h2>
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|<span style="padding-left:10px;font-size:130%;font-weight:bold;">[http://www.conwaylife.com/patterns/all.zip Download pattern collection]</span><br /><span style="padding-left:10px;">2Mb .zip archive containing the 3000+ pattern files used on the wiki</span>
|<span style="padding-left:10px;font-size:130%;font-weight:bold;">[http://www.conwaylife.com/patterns/all.zip Download pattern collection]</span><br /><span style="padding-left:10px;">2 MB .zip archive containing the 1500+ [[RLE]] pattern files used on the wiki</span>
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! <h2 style="margin:0; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;">Did you know...</h2>
! <h2 style="margin:0; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;">Did you know...</h2>
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Revision as of 23:49, 2 October 2019

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 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?
  • ... that there are orphans that are 5 cells high, but 4-cell-high orphans are impossible?
  • ... that 6-cell-high Garden of Eden patterns were constructed as far back as 1973, but 5-cell-high GoEs were unknown until Steven Eker found some in 2016?
  • ... that while both a big S and a ship-tie require four gliders to synthesise individually, there is a dirty 3-glider collision whose final ash contains one of each?
  • ... that no way is known for a 3 × 3 pattern to be tiled into an M × N rectangle to produce a Garden of Eden, but that there are 4 × 3, 4 × 4 and larger tiles that can be repeated in this way to produce GoEs?
  • ... that there are spaceship stabilizations of agars?
  • ... that block is the only finite strict still life where each living cell has exactly 3 neighbours?
  • ... that all strict still lifes up to and including 14 cells have been found by apgsearch in asymmetrical 16 × 16 soups?          
Showing 10 items out of 100 More did you know...