List of Generations rules

From LifeWiki
Revision as of 17:50, 21 December 2025 by Neocaridina (talk | contribs)
Jump to navigation Jump to search
This article is a stub. You can help LifeWiki by expanding it.
Brian's Brain
x=64, y = 64, rule =/2/3 ! #C [[ THEME Generations ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
Rulestring /2/3
B2/S/C3
B2/S/G3
Character Chaotic

Also called BB, or simply Brain, this is unquestionably one of the best known and most intresting CA rules. If we name the possible cell values based on a simplistic neural analogy, viz. 0 = "ready", 1 = "firing", 2 = "refractory", then this simple rule can be stated thusly: Only a cell in the ready state may fire and it will only do so if exactly 2 of its neighbors are firing. After firing for one step, a cell spends a step in the refractory state before regaining readiness. Although the rule is relatively old, it has never been systematically explored. The rule is so lively that it's not easy to construct stable patterns in it. In December 1999, Michael Sweney discovered the first BB oscillators.

Brain 6
x=64, y = 64, rule =6/246/3 ! #C [[ THEME Generations ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
Rulestring 6/246/3
B246/S6/C3
B246/S6/G3
Character Chaotic

An interesting variation of the immortal Brian's Brain, with many patterns constructed. Dead cells get born if they have two, four or six live neighbors, and live cells survive only if it has exactly six live neighbors, and similar to Brain's Brain, live cells advance to a third state, not considered "live" for the purpose of cell birth, before dying.

A rule named after its very common frog-like gliders.