Hunting wrote: ↑December 4th, 2020, 9:48 am
That's the typical reaction in pretty much every non-explosive rule with a common spaceship. 99% of B2a rules don't have a splitter.
I mean the asymmetrical diagonal reaction, in which one spaceship remains intact or modified, while the second one disappears entirely. I don't think it's typical for rules with slower common gliders/ships. Given guns of usable period (say, p>=13, suitable for crossover photon signals), such reactions can be used as a reverse reflector and an orthogonal splitter, which leads to AND and NAND gates. The velocity does matter here, because photons are, probably, the most stable spaceships in existence. When they touch something only by their "tail", they don't stop propagating, although they may explode or transform into something unusable like a puffer. Such reactions may be also used for things like memory units etc. Here is a simple example from my rule Lace (B2ae/S1e3y5):
Code: Select all
x = 197, y = 99, rule = B2ae/S1e3y5
8$101bo$102bo4$101b2o5$104bo$102bo2bo$32bo67bobo$31bo69b2o$105bobo$
108bo$31b2o20bo51bo$31b2o19bo45bo9bo5bo31bo$31b2o57bo2b3o3bo15bo31bo
27bo$89bo3b3o3bo15bo31bo26bo$114bo31bo$30bo21b2o46bo$31b2o2bo63bo$25bo
8bo$13bo4bo7bo$14bo3bo5b3o$50bo$23bo18bo6bo2bo$24bo2bobo13bo8bobo$52b
2o$27bo19bobo60b2o$28bobo15bo62bo2bo$49bo$46bo9bo$23bo31bo3b3o2bo$24bo
30bo3b3o3bo2$54bo$55bo4$19bo$20bo$50bo31bo31bo31bo$9bo3b3o3bo31bo31bo
31bo31bo27bo$10bo2b3o3bo31bo31bo31bo31bo26bo$18bo9bo21bo31bo31bo31bo$
25bo$28bo15bobo$25bobo19bo65bobo$21b2o89bo$20bobo22bobo2bo64bo$22bo2bo
4bo2bo17bo60bobo4bo$24bo6b2o77b2o6bo$48b3o5bo3bo48bo2bo$32bo15bo7bo4bo
57bo3b3o3bo$31bo8bo8bo69bo3b3o2bo$39bo2b2o63bo12bo$21b2o21bo63bo3$42b
2o66b2o$22bo19b2o65bo2bo$21bo20b2o66b2o$109bo2bo$110b2o$43bo$42bo67bo$
111bo!
I didn't explore this rule much. I suspect it has an oscillator-based splitter. I just want to demonstrate what I mean. As you may have noticed in my posts on this forum, I focus almost entirely on B2 or B2a rules, but mainly on Generations and my cyclical "colorful" rules.
As for 99% of B2a rules... who knows? It's hard to strictly prove that something does not exist in CA. Very few rules like B1/S are conclusively proven to be not Turing-complete. I was very surprised, when I discovered Jason Summers' pattern collection for Seeds. I always thought that Seeds is only useful as a starting point for tweaking it into something less chaotic. Yet, it had guns, puffers, rakes etc. If someone discovers slower guns in Seeds, logic circuits would be the next step.
I admit I used circular logic in my conjecture about B2 rules. I only notice what I consider "interesting", something that has a taste of Brian's Brain, Starwars or my Fireworld. The other 99%, if your estimation is correct, I simply disregard and forget about them.