Regenerative loop

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 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.

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 (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

External links

• Pi splitter at Adam P. Goucher's Catagolue (pseudo-object)
• xs14_31egm93 and block at Adam P. Goucher's Catagolue (pseudo-object)