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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]]
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| style="font-size:95%; padding:10px 0; margin:0; text-align:right; white-space:nowrap; color:#000;" |[[:Category:Static_images|Image gallery]]&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>
|-
| 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 {{#dpl:categorymatch=Patterns_that_can_be_constructed_with%|resultsheader=%TOTALPAGES%|format={{#if,:,,:|}}}} 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 14:37, 1 April 2020

Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 2,574 articles.
Overview · How to contribute · ConwayLife.com Image gallery · 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 Adam P. Goucher's distributed Catagolue soup-search project, started in February 2015, has tested several orders of magnitude more random soups than any previous such project, and has contributed to the reduction of many glider construction recipes?
  • ... that with the appearance of the 0E0P metacell, the number of periods for which strict volatility 1 oscillators were known went from 12 to infinity?
  • ... that Copperhead is not only the first c/10 orthogonal spaceship ever found, but also remarkably compact for a pattern not discovered until 2016?
  • ... that loafer is the fifth smallest non-flotilla spaceship, but was discovered 43 years after the four spaceships smaller than it?
  • ... that despite being the fourth smallest non-flotilla orthogonal spaceship, loafer did not appear from a single randomly generated soup until 2020?
  • ... that all known glider eaters take at least four ticks to recover to their original state after eating a glider?
  • ... that among Life-like (outer-totalistic) rules, Conway's Life's "near neighbours" B35/S23, B36/S23, and B38/S23 are not explosive, but B37/S23 is?
  • ... that there is roughly one chance in 10^(N/3) that a still life appearing out of random soup will have a population of exactly N cells?
  • ... 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?          
Showing 10 items out of 104 More did you know...