Main Page

From LifeWiki
Revision as of 12:29, 10 January 2017 by Apple Bottom (Talk | contribs)

Jump to: navigation, search
Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 1,370 articles.
Overview · How to contribute · ConwayLife.com Image gallery · Popular pages · A–Z index

This week's featured article

10cellinfinitegrowth.png
A finite pattern is said to exhibit infinite growth if it is such that its population is unbounded. That is, for any number N there exists a generation n such that the population in generation n is greater than N. The first known pattern to exhibit infinite growth was the Gosper glider gun. In 1971, Charles Corderman found that a switch engine could be stabilized by a pre-block in a number of different ways to produce either a block-laying switch engine or a glider-producing switch engine, giving several 11-cell patterns with infinite growth. This record for smallest infinitely-growing pattern stood for more than quarter of a century until Paul Callahan found, in November 1997, two 10-cell patterns with infinite growth. Nick Gotts and Paul Callahan have since shown that there is no infinite growth pattern with fewer than 10 cells, so the question of the smallest infinite growth pattern in terms of number of cells has been answered completely.

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
1.75 MB .zip archive containing the 1500+ RLE pattern files used on the wiki

Did you know...

  • ... that two completely different types of knightships, the waterbear and the half-baked knightship, were constructed in 2014?
  • ... that no Caterpillar-type spaceships were completed for almost ten years after the original Caterpillar was constructed in 2004, but that two different designs, the waterbear and the centipede, were finished in 2014?
  • ... that the first spiral-growth pattern in Conway's Life was constructed in 2014?
  • ... that among known glider recipes for irreducible objects, the Gemini spaceship has the largest known minimal recipe, currently 175,167 gliders -- the runner-up being the Parallel HBK with a 38,380-glider synthesis?
  • ... that it was shown in 2014 that any salvo of gliders, no matter how tightly packed, can be constructed by crashing together gliders whose initial positions are farther apart than any chosen finite distance?
  • ... that no spaceships with velocities other than c/4 diagonal (glider), c/2 orthogonal (*WSS variants), and c/12 diagonal (Corderships) had known glider syntheses until 2003, when a 2c/5 spaceship gun was constructed?
  • ... that after ten years with no new small spaceship syntheses, a glider construction was found for the c/7 loafer in 2013?
  • ... that glider constructions for three previously inconstructible spaceships (the dart, the crab, and the Parallel HBK) were discovered in 2014?
  • ... that glider constructions for the B29, X66, half-X66 with HWSS, Pushalong 1, 25P3H1V0.2, 30P5H2V0, 30P4H2V0.4, a pufferfish spaceship, and the weekender were discovered in 2015 -- after fifteen years of intermittent efforts in the case of the weekender?
  • ... that since 2014, more new spaceship syntheses have been completed than were found in all the years between 1970 and 2013?          
Showing 10 items out of 81 More did you know...