Main Page

From LifeWiki
Jump to navigation Jump to search
Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 2,574 articles.
Overview · How to contribute · Image gallery · A–Z index

This week's featured article

Pentadecathlon is a period-15 oscillator that was found in 1970 by John Conway while tracking the history of short rows of cells (see one-cell-thick pattern). Indeed, 10 cells placed in a row quickly evolve into this object, which is the most natural oscillator of period greater than 3. In fact, it is the fifth or sixth most common oscillator overall, being about as frequent as the clock, but much less frequent than the blinker, toad, beacon or pulsar. It is the only known oscillator that is a polyomino in more than one phase (besides the blinker).

In the news

Did you know...

  • ... that there are at least four known ways to send information diagonally at a speed greater than the maximum spaceship speed through vacuum? (Complete mechanisms include speeds approaching c/2 via two perpendicular telegraphs, and 2c/3 via a 2c/3 wire.)
  • ... that an oscillator with strict volatility 1 can be constructed for any period 945 or higher?
  • ... that the original Gemini's "below-the-elbow" construction efficiency, roughly three gliders per still life, is about four times better than that of any subsequent self-constructing spaceship?
  • ... that an O(sqrt(log(t))) pattern was constructed in 2010, with a diameter that grows at the slowest possible asymptotic ("big O") rate for any Life pattern?
  • ... that since the first Cordership was assembled from 13 switch engines in 1991, the number of switch engines required has gradually decreased, with a 2-engine Cordership finally making its appearance in 2017?
  • ... that the bounding box and recovery time of the current fastest stable reflector, Mike Playle's Snark, are both more than two full orders of magnitude smaller than the first stable reflector, constructed by Paul Callahan in 1996?
  • ... that as of 2022, no finite elementary replicators have been found in Life?
  • ... that while multiple c/12 diagonal spaceships are known, all of them actually travel at some multiple of 8c/96 diagonal - no pure c/12 diagonal technology is known?
  • ... that the first p23 oscillator, David Hilbert, was created as a modification of a "troll" pattern posted a week earlier?
  • ... that exactly two years after a fake loafer-producing soup was posted to the forums on April Fools' Day, a real soup was found on April 1, 2020?          
Showing 10 items out of 180 More did you know...

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