Regenerative loop: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
← Older edit
HotdogPi (talk | contribs)
Bureaucrats, Editors, Moderators, Trusted users
6,568 edits
expanded info again
there's a page now
 
(4 intermediate revisions by 3 users not shown)
Line 4: Line 4:
== Pi splitter ==
== Pi splitter ==


'''Pi splitter''' is a representative [[elementary]] [[converter]] with a regenerative loop motif. It was originally found by [[Ivan Fomichev]] with [[Bellman]] in August {{year|2013}}<ref name="post8734" /> and subsequently reduced by [[Martin Grant]]. It is a constellation consisting of a block and {{LinkCatagolue|xs27_0g8ehe8gz121ehm921|style=raw|patternname=an unnamed 27-cell still life}}. Its name originates from the fact that a [[pi-heptomino]] can be split into two gliders in a reaction shown to the left, with systematic label PNE−6T40_SE−6T40.
'''[[Pi splitter]]''' is a representative [[elementary]] [[converter]] with a regenerative loop motif. It was originally found by [[Ivan Fomichev]] with [[Bellman]] in August {{year|2013}}<ref name="post8734" /> and subsequently reduced by [[Martin Grant]]. It is a constellation consisting of a block and an unnamed 27-cell still life ({{LinkCatagolue|xs27_0g8ehe8gz121ehm921|style=brief}}). Its name originates from the fact that a [[pi-heptomino]] can be split into two gliders in a reaction shown to the left, with systematic label PNE−6T40_SE−6T40.


Later this catalyst is generalized to a replacement catalyst for the [[tub]] when it is turned into a certain block predecessor. Shown to the right below are two example catalyses; the first was used in both a period-36 [[honey farm hassler]] and an alternative G4 receiver, while the second was used in a variant of [[p124 lumps of muck hassler]]. However, both oscillators can be reduced with other catalysts.
Later this catalyst is generalized to a replacement catalyst for the [[tub]] when it is turned into a certain block predecessor. Shown to the right below are two example catalyses; the first was used in both a period-36 [[honey farm hassler]] and an alternative G4 receiver, while the second was used in a variant of [[p124 lumps of muck hassler]]. However, both oscillators can be reduced with other catalysts.
{|
{{gallery top}}
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|pname           = pisplitter
|pname       = pisplitter
|position        = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 600 GPS 8 AUTOSTART T 0 PAUSE 2 T 60 PAUSE 2 LOOP 61 ]]
|viewerconfig = #C [[ ZOOM 16 HEIGHT 600 GPS 8 LOOP 61 AUTOSTART PAUSE 2 T 60 PAUSE 2 ]]
|position    = center
|caption         = Original pi-splitting reaction<br>
|caption     = Original pi-splitting reaction
}}
|style        = width:300px;
|{{EmbedViewer
}}}}
|pname           = regenerativeloop1
{{gallery item|{{EmbedViewer
|position        = center
|pname       = regenerativeloop1
|viewerconfig = #C [[ ZOOM 12 Y -4 HEIGHT 600 GPS 8 LOOP 30 AUTOSTART PAUSE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 12 Y -4 HEIGHT 600 GPS 8 AUTOSTART T 0 PAUSE 2 LOOP 30 ]]
|caption         = Tub replacement catalyses<br>
|position    = center
}}
|caption     = Tub replacement catalyses
|}
|style        = width:300px;
}}}}
{{gallery bottom}}


== xs14_31egm93 and block ==
== xs14_31egm93 and block ==


The regenerative loop can also be activated by other reactions not starting from a (failed) tub reaction, and in this case, the smallest working object with the motif is {{LinkCatagolue|xs14_31egm93|style=raw|patternname=an unnamed 14-cell still life}}. By inducing the birth of a cell, the [[nine]] becomes a [[bookend]] and proceeds.
The regenerative loop can also be activated by other reactions not starting from a (failed) tub reaction, and in this case, the smallest working object with the motif is an unnamed 14-cell still life ({{LinkCatagolue|xs14_31egm93|style=brief}}). By inducing the birth of a cell, its [[nine]] part becomes a [[bookend]] and proceeds.


The first panel below shows how the catalyst can be [[hassle]]d by a [[spark]], the second shows a random active region perturbed by the catalyst, and the third shows a [[glider]] [[eater]] that is recorded in [[Dean Hickerson]]'s 1998 eater stamp collection and has a [[recovery time]] of 10 ticks.<ref>{{cite web|url=https://conwaylife.com/ref/DRH/glider.eaters.html|title=Glider eaters|work=Dean Hickerson's Game of Life page|author=Dean Hickerson|accessdate=February 20, 2022}}</ref>
The first panel below shows how the catalyst can be [[hassle]]d by a [[spark]], the second shows a random active reaction perturbed by the catalyst, and the third shows a [[glider]] [[eater]] that is recorded in [[Dean Hickerson]]'s 1998 eater stamp collection and has a [[recovery time]] of 10 ticks.<ref>{{cite web|url=https://conwaylife.com/ref/DRH/glider.eaters.html|title=Glider eaters|work=Dean Hickerson's Game of Life page|author=Dean Hickerson|accessdate=February 20, 2022}}</ref>
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname        = p7pipsquirterandregenerativeloop
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 600 GPS 7 AUTOSTART T 0 PAUSE 2 LOOP 28 ]]
|position    = center
|caption      = [[p7 pipsquirter]] interacting with a regenerative loop<ref name="post24632" />
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname        = regenerativeloop2
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 600 ]]
|position    = center
|caption      = A complex regenerative loop [[catalysis]]
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname        = regenerativeloopinglidereater
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 32 HEIGHT 600 GPS 7 AUTOSTART T 0 PAUSE 2 T 4 PAUSE 2 LOOP 42 ]]
|position    = center
|caption      = A regenerative loop in a glider eater
|style        = width:300px;
}}}}
{{gallery bottom}}


{|
|{{EmbedViewer
|pname          = p7pipsquirterandregenerativeloop
|position        = center
|viewerconfig  = #C [[ ZOOM 16 HEIGHT 600 AUTOSTART GPS 7 PAUSE 2 LOOP 28 ]]
|caption          = [[p7 pipsquirter]] interacting with a regenerative loop<br>
}}
|{{EmbedViewer
|pname          = regenerativeloop2
|position        = center
|viewerconfig  = #C [[ ZOOM 16 HEIGHT 600 ]]
|caption          = A complex regenerative loop catalysis<br>
}}
|{{EmbedViewer
|pname          = regenerativeloopinglidereater
|position        = center
|viewerconfig = #C [[ ZOOM 32 HEIGHT 600 AUTOSTART GPS 7 PAUSE 2 T 4 PAUSE 2 LOOP 42 ]]
|caption          = A regenerative loop in a glider eater<br>
}}
|}
== References ==
== References ==
<references>
<references>
Line 56: Line 61:
|author    = Ivan Fomichev
|author    = Ivan Fomichev
|date      = August 7, 2013
|date      = August 7, 2013
}}</ref>
<ref name="post24632">{{LinkForumThread
|format    = ref
|p          = 24632
|title      = Re: Results of catalyst tests
|author    = Dongook Lee
|date      = November 4, 2015
}}</ref>
}}</ref>
</references>
</references>


== External links ==
== External links ==
{{LinkCatagolue|xs31_x3jgz8k87o69k8zw17871|patternname=Pi splitter|format=pseudo-object}}
* {{LinkCatagolue|xs31_x3jgz8k87o69k8zw17871|patternname=Pi splitter|format=pseudo-object}}
{{LinkCatagolue|xs18_31egm93zwcc|patternname=xs14_31egm93 and block|format=pseudo-object}}
* {{LinkCatagolue|xs18_31egm93zwcc|patternname=xs14_31egm93 and block|format=pseudo-object}}


[[Category:Catalysts and catalyses]]
__NOTOC__
__NOTOC__

Latest revision as of 14:39, 23 November 2023

The regenerative loop is a loop-like motif found in some stable catalysts that, when perturbed in a certain way, hits a block to produce a grin and then restores itself.

Pi splitter

Pi splitter is a representative elementary converter with a regenerative loop motif. It was originally found by Ivan Fomichev with Bellman in August 2013[1] and subsequently reduced by Martin Grant. It is a constellation consisting of a block and an unnamed 27-cell still life (Catagolue: here). Its name originates from the fact that a pi-heptomino can be split into two gliders in a reaction shown to the left, with systematic label PNE−6T40_SE−6T40.

Later this catalyst is generalized to a replacement catalyst for the tub when it is turned into a certain block predecessor. Shown to the right below are two example catalyses; the first was used in both a period-36 honey farm hassler and an alternative G4 receiver, while the second was used in a variant of p124 lumps of muck hassler. However, both oscillators can be reduced with other catalysts.

x = 20, y = 14, rule = B3/S23 15bo$14bobo$14bobo$13b2ob2o$12bo2bo2bo$3o8bobobobobo$2bo9bobobobo$3o 11bobo$14bo2bo$15b2o3$14b2o$14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 600 GPS 8 AUTOSTART T 0 PAUSE 2 T 60 PAUSE 2 LOOP 61 ]]
Original pi-splitting reaction
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 34, y = 39, rule = B3/S23 27b2o$26b2o$25b2o$bo5bo2$2b2ob2o$4bo3$5bo19bo$4bobo17bobo$5bo19bo10$27b2o$26b2o$25b2o$bo5bo2$2b2ob2o$4bo3$5bo19bo$4bobo17bobo$3bobo17bobo$b3o2b3o3b2o7b3o2b3o3b2o$o3b2o3bo2b2o6bo3b2o3bo2b2o$b3o2b2obo11b3o2b2obo$3bobo2bo14bobo2bo$4bobo17bobo$5bo19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 Y -4 HEIGHT 600 GPS 8 AUTOSTART T 0 PAUSE 2 LOOP 30 ]]
Tub replacement catalyses
(click above to open LifeViewer)
RLE: here Plaintext: here


xs14_31egm93 and block

The regenerative loop can also be activated by other reactions not starting from a (failed) tub reaction, and in this case, the smallest working object with the motif is an unnamed 14-cell still life (Catagolue: here). By inducing the birth of a cell, its nine part becomes a bookend and proceeds.

The first panel below shows how the catalyst can be hassled by a spark, the second shows a random active reaction perturbed by the catalyst, and the third shows a glider eater that is recorded in Dean Hickerson's 1998 eater stamp collection and has a recovery time of 10 ticks.[2]

x = 19, y = 22, rule = B3/S23 6b2o$6bobo3b2o3b2o$8bo3bobobobo$3bo2bob2o4bobo$3b4o7bo2bo$7b2o2b2o2b2o $3b4o$obo3bob2o$2ob2obobo5b2o$3bo4bo5b2o$3bobobob2o$2obobobobo$obo4bob o$2bob2obo2b2o$2bobo3bobo$b2o2bob2obo$2bobo4bo$2bo3b3o$3b2obo$8b3o$b7o 2bo$bo2bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 600 GPS 7 AUTOSTART T 0 PAUSE 2 LOOP 28 ]]
p7 pipsquirter interacting with a regenerative loop[3]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 14, y = 14, rule = B3/S23 2bo$o$2b3o$3b3o$o4bo$2b2o3b2o3b2o$2bo4bobobobo$9bobo$9bo2bo$10b2o3$9b2o$9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 HEIGHT 600 ]]
A complex regenerative loop catalysis
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 17, y = 18, rule = B3/S23 bo$2bo$3o2$5bo$3bobo$4b2o$8bo$9bo2b2o$7b3o3bo$13bob2o$10b2obo2bo$11bob 2o$3b2o3b3o$3b2o2bo$7bob2o$8bo2bo$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 32 HEIGHT 600 GPS 7 AUTOSTART T 0 PAUSE 2 T 4 PAUSE 2 LOOP 42 ]]
A regenerative loop in a glider eater
(click above to open LifeViewer)
RLE: here Plaintext: here


References

  1. ↑ Ivan Fomichev (August 7, 2013). Pi splitter (discussion thread) at the ConwayLife.com forums
  2. ↑ Dean Hickerson. "Glider eaters". Dean Hickerson's Game of Life page. Retrieved on February 20, 2022.
  3. ↑ Dongook Lee (November 4, 2015). Re: Results of catalyst tests (discussion thread) at the ConwayLife.com forums
Retrieved from "https://conwaylife.com/w/index.php?title=Regenerative_loop&oldid=141463"