Difference between revisions of "OCA:DryLife"

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==Patterns==
 
==Patterns==
[[File:Drylifeflowergarden.png|right|frame|The "flower garden".]]
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DryLife is so named because the [[standard spaceship]]s from [[Conway's Life|normal life]]; [[lightweight spaceship]], [[middleweight spaceship]], and [[heavyweight spaceship]] — also known as "fishes" — do not work, though the glider does. Some other spaceships, such as the [[weekender]] and [[loafer]], work in this rule. The [[copperhead]] evolves into the closely related c/10 ''goldenhead'', differing from copperhead by two cells in one phase.
 
DryLife is so named because the [[standard spaceship]]s from [[Conway's Life|normal life]]; [[lightweight spaceship]], [[middleweight spaceship]], and [[heavyweight spaceship]] — also known as "fishes" — do not work, though the glider does. Some other spaceships, such as the [[weekender]] and [[loafer]], work in this rule. The [[copperhead]] evolves into the closely related c/10 ''goldenhead'', differing from copperhead by two cells in one phase.
  
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A new speed allowed by DryLife is 9c/28 orthogonal. Technology travelling at this speed relies on the [[R-pentomino]]. There is a small 9c/28 orthogonal [[pond]] puffer, and a 9c/28 spaceship. [[Gun]]s and [[breeder]]s have been constructed that fire spaceships and [[rake]]s of this speed respectively.
 
A new speed allowed by DryLife is 9c/28 orthogonal. Technology travelling at this speed relies on the [[R-pentomino]]. There is a small 9c/28 orthogonal [[pond]] puffer, and a 9c/28 spaceship. [[Gun]]s and [[breeder]]s have been constructed that fire spaceships and [[rake]]s of this speed respectively.
  
The "flower garden", a common constellation which evolves from [[honey farm]] predecessors, composed of two [[bi-boat]]s and two [[cis-mirrored R-bee]]s, is shown to the right.
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The "flower garden", a common constellation which evolves from [[honey farm]] predecessors, composed of two [[bi-boat]]s and two [[cis-mirrored R-bee]]s, is shown to the right. It also evolves when a [[pulsar]] is sabotaged.{{citation needed}}
  
 
==Universality==
 
==Universality==
There is a proof sketch of this rule's universality. It is on conwaylife forums<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=11&t=2597#p38167|title=List of the Turing-complete totalistic life-like CA}}</ref>, which contains a proof-scheme covering all rules that support [[glider]] and their [[rulestring]] matches B3[678]*/S23[678]*.
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There is a proof sketch of this rule's universality as well as an explicit [https://en.wikipedia.org/wiki/Rule_110 Rule 110] [[unit cell]].<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=11&t=2597&start=25#p62446|title=List of the Turing-complete totalistic life-like CA|author=Peter Naszvadi|work=ConwayLife.com forums|date=August 7, 2018|accessdate=May 17, 2019}}</ref> In the same topic on ConwayLife forums,<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=11&t=2597#p38167|title=List of the Turing-complete totalistic life-like CA|author=Peter Naszvadi|work=ConwayLife.com forums|date=December 12, 2016|accessdate=May 17, 2019}}</ref> there is a proof-scheme covering all rules in the [[outer-totalistic]] [[rulespace]] between [[B3/S23]] and B3678/S23678.
  
An explicit W110 [[unit cell]] construction<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=11&t=2597&start=25#p58579|title=Explicit Rule-110 Unit Cell Construction for DryLife}}</ref> proves its Turing-completeness, the pattern itself is basically a meta-polyglot - covers some related cellular automata and the patterns only differs in some parts, in this case: the guns.
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An explicit [https://en.wikipedia.org/wiki/Rule_110 Rule 110] [[unit cell]] construction<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=11&t=2597&start=25#p58579|title=Explicit Rule-110 Unit Cell Construction for DryLife|author=Peter Naszvadi|date=March 29, 2018}}</ref> proves its Turing-completeness; the pattern itself is basically a meta-polyglot, covering some related cellular automata in which the pattern only differs in some parts (in this case, the guns).
  
 
==References==
 
==References==

Latest revision as of 21:23, 6 March 2020

DryLife
DryLife rule
Rulestring 23/37
B37/S23
Rule integer 6280
Character Explosive
Black/white reversal B0123478/S0234678

DryLife is a Life-like cellular automaton in which cells survive from one generation to the next if they have 2 or 3 neighbours, and are born if they have 3 or 7 neighbours.

Patterns

x = 21, y = 13, rule = B37/S23 8bo3bo$7bobobobo$8b2ob2o$b2o15b2o$o2bo13bo2bo$b3o13b3o2$b3o13b3o$o2bo 13bo2bo$b2o15b2o$8b2ob2o$7bobobobo$8bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
The flower garden (click above to open LifeViewer)
RLE: here Plaintext: here

DryLife is so named because the standard spaceships from normal life; lightweight spaceship, middleweight spaceship, and heavyweight spaceship — also known as "fishes" — do not work, though the glider does. Some other spaceships, such as the weekender and loafer, work in this rule. The copperhead evolves into the closely related c/10 goldenhead, differing from copperhead by two cells in one phase.

Two correctly spaced B-heptominoes (as in the twin bees shuttle) act as a c/2 orthogonal puffer.

A new speed allowed by DryLife is 9c/28 orthogonal. Technology travelling at this speed relies on the R-pentomino. There is a small 9c/28 orthogonal pond puffer, and a 9c/28 spaceship. Guns and breeders have been constructed that fire spaceships and rakes of this speed respectively.

The "flower garden", a common constellation which evolves from honey farm predecessors, composed of two bi-boats and two cis-mirrored R-bees, is shown to the right. It also evolves when a pulsar is sabotaged.[citation needed]

Universality

There is a proof sketch of this rule's universality as well as an explicit Rule 110 unit cell.[1] In the same topic on ConwayLife forums,[2] there is a proof-scheme covering all rules in the outer-totalistic rulespace between B3/S23 and B3678/S23678.

An explicit Rule 110 unit cell construction[3] proves its Turing-completeness; the pattern itself is basically a meta-polyglot, covering some related cellular automata in which the pattern only differs in some parts (in this case, the guns).

References

  1. Peter Naszvadi (August 7, 2018). "List of the Turing-complete totalistic life-like CA". ConwayLife.com forums. Retrieved on May 17, 2019.
  2. Peter Naszvadi (December 12, 2016). "List of the Turing-complete totalistic life-like CA". ConwayLife.com forums. Retrieved on May 17, 2019.
  3. Peter Naszvadi (March 29, 2018). "Explicit Rule-110 Unit Cell Construction for DryLife".

External links