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[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.
| Original pi-splitting reaction (click above to open LifeViewer) RLE: here Plaintext: here |
| 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]
| p7 pipsquirter interacting with a regenerative loop[3] (click above to open LifeViewer) RLE: here Plaintext: here |
| A regenerative loop in a glider eater (click above to open LifeViewer) RLE: here Plaintext: here |
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.
- ↑ Dongook Lee (November 4, 2015). Re: Results of catalyst tests (discussion thread) at the ConwayLife.com forums
External links
- Pi splitter at Adam P. Goucher's Catagolue (pseudo-object)
- xs14_31egm93 and block at Adam P. Goucher's Catagolue (pseudo-object)