Main Page

From LifeWiki
Jump to: navigation, search
Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 1,767 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

Archive@conwaylife on Twitter

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 there are spaceship stabilizations of agars?
  • ...that block is the only known finite still life where each cell has exactly 3 neighbours?
  • ...that all strict still lifes up to and including 13 cells, and all but one with 14 cells, have been found via soup searching using apgsearch?
  • ...that c/2 orthogonal and c/4 diagonal are the only speeds of spaceships seen to emerge from asymmetric soups on Catagolue?
  • ...that all currently known standard Herschel conduits produce the same Herschel great-grandfather pattern, except for Fx158?
  • ...that eater 1 is the smallest asymmetric still life?
  • ...that in Life, no spaceship can exist with a speed of (m,n)c/x where (m+n)/x > 0.5?
  • ... that an N-bit strict still life – specifically, some length of long long (...) boat or barge – can be constructed for any odd integer N using no more than 39 gliders, and for any even integer N using no more than 38 gliders, using a temporary tubstretcher?
  • ... that an N-bit period-2 oscillator can be constructed for any odd integer N using no more than 45 gliders, and for any even integer N using no more than 46 gliders, using a temporary tubstretcher?
  • ...that it is currently an open question as to if there exists a periodic pattern whose only predecessors are its own evolutionary sequence?          
Showing 10 items out of 92 More did you know...