Difference between revisions of "Main Page"

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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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| <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;">Pattern collection</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;">1.75 MB .zip archive containing the 1500+ [[RLE]] 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 19:36, 15 February 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 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?
  • ... 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?          
Showing 10 items out of 102 More did you know...