Regenerative loop

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The regenerative loop motif is a motif found in some catalysts where a loop motif that has been perturbed in a certain way hits a block then restores itself.

Pi splitter

Pi splitter is a representative 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 splitted 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 a 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 [[ ZOOM 16 WIDTH 600 HEIGHT 600 GPS 8 LOOP 61 AUTOSTART PAUSE 2 T 60 PAUSE 2 ]]
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 [[ ZOOM 12 Y -4 WIDTH 600 HEIGHT 600 GPS 8 LOOP 30 AUTOSTART PAUSE 2 ]]
Tub replacement catalyses

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RLE: here Plaintext: here

Other catalysts

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 [[ THUMBNAIL THUMBSIZE 2 ]]
Another regenerative loop

(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 [[ THUMBNAIL THUMBSIZE 2 ]]
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

External links