Talk:Oscillator
Tables
I've started tables of the first known and smallest known oscillators of various periods. Feel free to expand these tables to higher periods. Once the tables get large enough, I'd like to break them off into their own page, but I have no idea what that page should be called. Thoughts? Should it be broken off at all? Nathaniel 12:03, 3 April 2009 (UTC)
- Maybe we could have a similar set of tables on the spaceships page?Lewis Patterson 16:04, 3 April 2009 (UTC)
- I'm not sure it should be broken off at all, as the other part of the article is not exactly very space-consuming. If both parts grow significantly, then yes, otherwise it seems somewhat unnecessary. If you do decide to break it off, the obvious title seems to be "List of Important Oscillators", following along with your section title. If it were just one list, it could be something like "List of Small Oscillators" and "List of Earliest Oscillators", but with two on one page that would just be an awkwardly long title. Elithrion 17:48, 3 April 2009 (UTC)
- Lewis - yep, there's no reason we shouldn't have a similar table (or set of tables) on the spaceship page. Elithrion - Yeah, I suppose there's no rush to split things off yet. Nathaniel 19:24, 3 April 2009 (UTC)
First period 33?
According to the Game of Life status page, Noam Elkies and Achim Flammenkamp found the first period 33 oscillator in 1997. The only period 33 oscillator that I have been able to find with a reference is the 92-cell one found by Jason Summers in 2000. If someone could find out what the first p33 oscillator is, that'd be swell. Nathaniel 15:03, 9 April 2009 (UTC)
- I believe the first non-trivial period 33 oscillator was a combination of Achim's p11 and a large period 3 domino fountain discovered by Noam Elkies on June 25, 1997.
The period 3 domino sparker:
x = 28, y = 27, rule = B3/S23
13b2o2$3b2o3bob2o4b2obo3b2o$2bo3bobo3b4o3bobo3bo$2bobo5bo2b2o2bo5bobo$
b2o6b2o2b2o2b2o6b2o$o2b3o4b2o4b2o4b3o2bo$2o4b3o3b4o3b3o4b2o$2b3ob3o10b
3ob3o$2o5bo4b4o4bo5b2o$bobo3b2o10b2o3bobo$o2b3o3bo2bo2bo2bo3b3o2bo$b2o
3b2o3b6o3b2o3b2o$2bobo4b2o2b2o2b2o4bobo$2bob2obobo3b2o3bobob2obo$b2o2b
ob5o4b5obo2b2o$o2bo7b6o7bo2bo$b2o3b3o10b3o3b2o$5bob6o2b6obo$4bob2o4bo
2bo4b2obo$4bo6bo4bo6bo$b2obo3b5o2b5o3bob2o$b2obob2obo2bo2bo2bob2obob2o
$5bo2b2o2bo2bo2b2o2bo$6bobo10bobo$4bobobobo6bobobobo$4b2o3b2o6b2o3b2o!
The period 33 oscillator:
x = 49, y = 31, rule = B3/S23
10b2o$6bo3b2o3bo$5bo10bo$4bo3bo4bo3bo10b2obobo4bo$3bob2o3b2o3b2obo8bob
ob2obo2bobo3b2o$2bobob4o2b4obobo5b3o2bo3b4obo3b2o$bo2b2ob2o4b2ob2o2bo
3bo3bobob2o4bo$5b2o8b2o7bobobobo2bob2o4b4o2b2o$3bob2o8b2obo9bo4bo2b2o
2bo4bo2bo$5bo10bo8bo3b2o3bo4bobo2bob2o$2o2bo12bo2b2o7b4obob2ob3o2bo$2o
2bo12bo2b2o2b2o3b2obo4bob2o2bob3o$5bo10bo10bo5bob3o2bo2b3o2bo$3bob2o8b
2obo5bob3o6bobo2bo2bo3b2o$5b2o8b2o7bo3bo5bo2b2obob2o$bo2b2ob2o4b2ob2o
2bo4bo3bobob2o3bob2ob3o$2bobob4o2b4obobo2bo2b3obobo2b3obo$3bob2o3b2o3b
2obo3bo2b3obobo2b3obo$4bo3bo4bo3bo7bo3bobob2o3bob2ob3o$5bo10bo7bo3bo5b
o2b2obob2o$6bo3b2o3bo8bob3o6bobo2bo2bo3b2o$10b2o15bo5bob3o2bo2b3o2bo$
24b2o3b2obo4bob2o2bob3o$29b4obob2ob3o2bo$25bo3b2o3bo4bobo2bob2o$28bo4b
o2b2o2bo4bo2bo$24bobobobo2bob2o4b4o2b2o$24bo3bobob2o4bo$25b3o2bo3b4obo
3b2o$27bobob2obo2bobo3b2o$28b2obobo4bo!
I'm not sure on this though; it should probably be asked about on the forums.- Update (01:30, 24 July 2009 (UTC)): period 33 oscillator status confirmed and added.
~Sokwe 04:48, 23 July 2009 (UTC)
Trivial vs. non-trivial
Mold on pseudo-barberpole is trivial; it has nothing to do with whether or not the oscillators touch, it has to do with whether or not there is at least one cell that oscillates at the full period (period 10 in the case of the current dispute). I'm not familiar with the "Mold on century-predecessor" oscillator, however -- could you show it to us? Nathaniel 23:38, 18 October 2009 (UTC)