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| style="font-size:95%; padding:10px 0; margin:0; text-align:left; white-space:nowrap; color:#000;" | [[LifeWiki:About|Overview]]&nbsp;'''·''' [[LifeWiki:Getting started|How to contribute]]&nbsp;'''·''' [[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]]&nbsp;'''·''' [[LifeWiki:Editor pages|How to contribute]]&nbsp;'''·''' [[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]]&nbsp;'''·''' [[Special:Popularpages|Popular pages]]&nbsp;'''·''' [[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]]&nbsp;'''·''' [[Special:Popularpages|Popular pages]]&nbsp;'''·''' [[Special:AllPages|A–Z index]]
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| <h2 style="margin:12px 0 0; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;">Latest news</h2>
| <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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<div align="right">'''[[LifeWiki:News|More news...]]'''</div>
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| The LifeWiki contains one of the most comprehensive catalogues of patterns available on the internet. Within it you will find:
*[[:Category:Patterns|{{#expr:{{PAGESINCATEGORY:Patterns|R}}}} patterns]] (including [[:Category:Oscillators|{{#expr:{{PAGESINCATEGORY:Oscillators}}}} oscillators]], [[:Category:Spaceships|{{#expr:{{PAGESINCATEGORY:Spaceships}}}} spaceships]] and [[:Category:Still lifes|{{#expr:{{PAGESINCATEGORY:Still lifes}}}} still lifes]]);
*[[:Category:Images|{{#expr:{{PAGESINCATEGORY:Animated images|R}}+{{PAGESINCATEGORY:Static images|R}}-1}} images]] ([[:Category:Animated images|{{PAGESINCATEGORY:Animated images|R}} animated]] and [[:Category:Static images|{{#expr:{{PAGESINCATEGORY:Static images|R}}-1}} static]]);
*Over 3000 downloadable pattern files;
*[[Glider synthesis|Glider syntheses]] for {{#dpl:categorymatch=Patterns_that_can_be_constructed_with%|resultsheader=%TOTALPAGES%|format={{#if,:,,:|}}}} patterns.
 
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| [[File:download.gif|link=http://www.conwaylife.com/patterns/all.zip]]
|<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;">Pattern collection</h2>
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| The LifeWiki contains one of the most comprehensive catalogue of patterns available on the internet. Within it you will find:
*[[:Category:Patterns|{{#expr:{{PAGESINCATEGORY:Patterns|R}}}} patterns]] (including [[:Category:Oscillators|{{#expr:{{PAGESINCATEGORY:Oscillators}}}} oscillators]], [[:Category:Spaceships|{{#expr:{{PAGESINCATEGORY:Spaceships}}}} spaceships]] and [[:Category:Still lifes|{{#expr:{{PAGESINCATEGORY:Still lifes}}}} still lifes]]);
*[[:Category:Images|{{#expr:{{PAGESINCATEGORY:Animated images}}+{{PAGESINCATEGORY:Static images}}-1}} images]] ([[:Category:Animated images|{{PAGESINCATEGORY:Animated images}} animated]] and [[:Category:Static images|{{#expr:{{PAGESINCATEGORY:Static images}}-1}} static]]);
*Over 2500 downloadable pattern files;
*[[Glider synthesis|Glider syntheses]] for over 200 patterns.<br />&nbsp;
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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 20:26, 10 December 2018

Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 2,574 articles.
Overview · How to contribute · ConwayLife.com Image gallery · Popular pages · A–Z index

This week's featured article

Lwss small.gif
A spaceship (much less commonly referred to as a glider or a fish) is a finite pattern that returns to its initial state after a number of generations (known as its period) but in a different location. The speed of a spaceship is the number of cells that the pattern moves during its period. This is expressed in terms of c (the metaphorical "speed of light") which is one cell per generation; thus, a spaceship with a period of five that moves two cells to the left during its period travels at the speed of 2c/5. Most known spaceships in Life travel either orthogonally (only horizontal or vertical displacement) or diagonally (equal horizontal and vertical displacement). However, several large Conway's Life spaceships have been engineered that travel in various oblique directions, and it is known that Life has spaceships that travel in all rational directions at arbitrarily slow speeds.

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 100 More did you know...