Difference between revisions of "OCA:Seeds"

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seeds is a life-like cellular automaton with rule B2/S
{{Rule
{{Rule|name=seeds|imgname=seeds|s=|b=2|char=Explosive|animated=false}}
|name            = Seeds
|imgname        = seeds
|char            = Explosive
|b              = 2
|s              =
|ruleinteger    = 4
|reversal        = B012345678/S01234578
|animated        = true
}}
'''Seeds''' is a life-like [[cellular automaton]] in which only dead cells with exactly two live neighbors will turn into live cells on the next generation. Even though all the living cells die in every generation (turning every pattern into a [[phoenix]]), most patterns are still exploding quadratically.
 
==Notable patterns==
 
===Oscillators===
It is obvious that no [[still life]]s can exist in this rule. Known [[oscillator]] [[period]]s include 2, 3, 4, and 6. The five smallest ones are [[duoplet]] (2 cells, p2), shiplet (3 cells, p2), radar (4 cells, p4), lever (4 cells, p4) and anchor (4 cells, p4).
<!--Osc names from the Live Free or Die webpages except "shiplet", coined just now for its ship-like hull.-->
 
===Spaceships===
With B2, the Seeds rule allows [[spaceship]]s to travel at the [[speed of light]]. The three smallest ones, known as [[photon]]s, have a period of 1 and consist of only 4 cells each. Larger lightspeed spaceships with higher periods are also known.
 
There also exist c/2 and c/5 orthogonal spaceships and c/3 and c/4 diagonal spaceships.
 
===Guns===
Two period-4 photon [[gun]]s ([[laser]]s) have been found, yet their photon stream is too dense to implement any [[signal logic]].
 
===Puffers, Rakes and Breeders===
Quite a lot of progress has been made in producing engineered patterns consisting of lightspeed [[puffer]]s and photon [[rake]]s. A rake puffer [[breeder]] is known.
 
==External links==
* [http://entropymine.com/jason/life/alt/b2s.zip A collection of patterns for the Seeds rule]; collected by Jason Summers, includes patterns found by Stephen Wright, Mirek Wójtowicz, Noam Elkies, Mark Niemiec, Peter Naszvadi, and David Eppstein.
{{LinkForumThread|f=11|t=1390|title=Seeds}}
{{LinkEppsteinRule|b2s}}
{{LinkCatagolueRule|b2s}}
{{LinkWikipedia|Seeds_(cellular_automaton)}}

Revision as of 20:08, 5 April 2019

Seeds
x=0, y = 0, rule = B2/S ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 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
B2/S
Rule integer 4
Character Explosive
Black/white reversal B012345678/S01234578

Seeds is a life-like cellular automaton in which only dead cells with exactly two live neighbors will turn into live cells on the next generation. Even though all the living cells die in every generation (turning every pattern into a phoenix), most patterns are still exploding quadratically.

Notable patterns

Oscillators

It is obvious that no still lifes can exist in this rule. Known oscillator periods include 2, 3, 4, and 6. The five smallest ones are duoplet (2 cells, p2), shiplet (3 cells, p2), radar (4 cells, p4), lever (4 cells, p4) and anchor (4 cells, p4).

Spaceships

With B2, the Seeds rule allows spaceships to travel at the speed of light. The three smallest ones, known as photons, have a period of 1 and consist of only 4 cells each. Larger lightspeed spaceships with higher periods are also known.

There also exist c/2 and c/5 orthogonal spaceships and c/3 and c/4 diagonal spaceships.

Guns

Two period-4 photon guns (lasers) have been found, yet their photon stream is too dense to implement any signal logic.

Puffers, Rakes and Breeders

Quite a lot of progress has been made in producing engineered patterns consisting of lightspeed puffers and photon rakes. A rake puffer breeder is known.

External links

  • Seeds (discussion thread) at the ConwayLife.com forums

Seeds at David Eppstein's Glider Database Seeds at Adam P. Goucher's Catagolue