Main Page

From LifeWiki
(Redirected from Index.php)
Jump to navigation Jump to search
Welcome to LifeWiki,
the wiki for Conway's Game of Life.
Currently contains 2,643 articles.
Overview · How to contribute · ConwayLife.com Image gallery · A–Z index

Today's featured article

Triplepseudostilllife small.png
A still life is a pattern that does not change from one generation to the next, and thus may be thought of as an oscillator with period 1. Still lifes are sometimes assumed to be finite and non-empty. The two main subgroups of still lifes are strict still lifes and pseudo still lifes. In some contexts, the term "still life" may refer to strict still lifes.

A strict still life is a still life that is either connected (i.e., has no islands), or is such that removing one or more its islands destroys the stability of the pattern. For example, beehive with tail is a strict still life because it is connected, and mirrored table is a strict still life because neither of the tables are stable by themselves.

A pseudo still life consists of two or more islands which can be partitioned (either individually or as sets) into non-interacting subpatterns which are by themselves each still lifes. Furthermore, there must be at least one dead cell that has more than three alive neighbours in the overall pattern but has less than three alive neighbours in the subpatterns. This final restriction removes patterns such as bakery, blockade and fleet from consideration, as the islands are not "almost touching".

In the news

Did you know...

Showing 10 items out of 197 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