Regenerative loop: Difference between revisions
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{{Glossary}} | {{Glossary}} | ||
The '''regenerative loop''' [[ | The '''regenerative loop''' is a [[loop]]-like [[motif]] found in some [[stable]] [[catalyst]]s that, when perturbed in a certain way, hits a [[block]] to produce a [[grin]] and then restores itself. | ||
== Pi splitter == | == Pi splitter == | ||
'''Pi splitter''' is a representative 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 {{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. | ||
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 | 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. | ||
{| | {| | ||
|{{EmbedViewer | |{{EmbedViewer | ||
|pname = pisplitter | |pname = pisplitter | ||
|position = center | |position = center | ||
|viewerconfig = #C [[ ZOOM 16 | |viewerconfig = #C [[ ZOOM 16 HEIGHT 600 GPS 8 LOOP 61 AUTOSTART PAUSE 2 T 60 PAUSE 2 ]] | ||
|caption = Original pi-splitting reaction<br> | |caption = Original pi-splitting reaction<br> | ||
}} | }} | ||
| Line 17: | Line 17: | ||
|pname = regenerativeloop1 | |pname = regenerativeloop1 | ||
|position = center | |position = center | ||
|viewerconfig = #C [[ ZOOM 12 Y -4 | |viewerconfig = #C [[ ZOOM 12 Y -4 HEIGHT 600 GPS 8 LOOP 30 AUTOSTART PAUSE 2 ]] | ||
|caption = Tub replacement catalyses<br> | |caption = Tub replacement catalyses<br> | ||
}} | }} | ||
|} | |} | ||
== | == 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 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> | |||
{| | {| | ||
|{{EmbedViewer | |{{EmbedViewer | ||
|pname = regenerativeloop2 | |pname = p7pipsquirterandregenerativeloop | ||
|position | |position = center | ||
|viewerconfig = #C [[ | |viewerconfig = #C [[ ZOOM 16 HEIGHT 600 AUTOSTART GPS 7 PAUSE 2 LOOP 28 ]] | ||
|caption | |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 | |{{EmbedViewer | ||
|pname = regenerativeloopinglidereater | |pname = regenerativeloopinglidereater | ||
|position | |position = center | ||
|viewerconfig = #C [[ | |viewerconfig = #C [[ ZOOM 32 HEIGHT 600 AUTOSTART GPS 7 PAUSE 2 T 4 PAUSE 2 LOOP 42 ]] | ||
|caption | |caption = A regenerative loop in a glider eater<br> | ||
}} | }} | ||
|} | |} | ||
== References == | == References == | ||
<references> | <references> | ||
| Line 52: | Line 61: | ||
== 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}} | |||
__NOTOC__ | __NOTOC__ | ||
Revision as of 14:00, 20 February 2022
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. 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.
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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. By inducing the birth of a cell, the nine 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 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.[2]
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References
- ↑ Ivan Fomichev (August 7, 2013). Pi splitter (discussion thread) at the ConwayLife.com forums
- ↑ Dean Hickerson. "Glider eaters". Dean Hickerson's Game of Life page. Retrieved on February 20, 2022.
External links
- Pi splitter at Adam P. Goucher's Catagolue (pseudo-object)
- xs14_31egm93 and block at Adam P. Goucher's Catagolue (pseudo-object)