Oscillator Discussion

For general discussion about Conway's Game of Life.
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MadMan
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Oscillator Discussion

Post by MadMan » June 28th, 2009, 3:59 pm

A discussion of oscillators would def. spruce things up here. :D .It's curiuous that 19 is the first period for which NO oscillator has yet been found. :o .That 19 is a prime number rules out any chance that a P19 oscillator could be found by taking one or more with period(s) a factor of 19 and having them perturb inert matter into temporary activity. Some oscillators of high period have been created this way. :roll:

There are an infinity of oscillators but virtually all of them do NOT occur naturally. :shock: They have to be built OR found by these new-fangled search programs.

Right now I am very depressed :( :? :cry: and I don't really know why...

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calcyman
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Re: Oscillator Discussion

Post by calcyman » June 28th, 2009, 4:52 pm

Dean Hickerson wrote a program to try and find a way to turn a signal, so that it can be incorporated into an extensible loop. Then, it should be possible to set the dimensions of the loop and populate it with signals spaced uniformly to make a medium-period oscillator. This has been achieved with Herschel tracks, but a drifter loop would have a much smaller reapeat time. If a signal turn for the 2c/3 (or 5c/9) signal is found, then most of the remaining periods could be filled in. This approach was used to prove other rules, such as Just Friends, omniperiodic.
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kanchabao
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Re: Oscillator Discussion

Post by kanchabao » February 20th, 2015, 7:54 am

it with signals spaced uniformly to make a medium-period oscillator.?
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unname66609
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Re: Oscillator Discussion

Post by unname66609 » February 20th, 2015, 10:09 am

讨论了振荡器将解释。就在这里。 :D 。这是第一期curiuous 19没有为其子已经被发现。 :o 。19是一个素数排除任何机会,P19振荡器可以通过取一个或多个以期发现(S)19的一个因素让他们扰乱惰性物质为临时活动。高中时期的一些振荡器已创造了这种方式。 :roll: 有子的无限但实际上它们都不是天然存在的。 :shock: 他们必须建造或由这些新兴的搜索程序。现在的我很郁闷 :( :? :cry: 我真的不知道为什么…
Last edited by unname66609 on February 20th, 2015, 10:43 am, edited 8 times in total.

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dvgrn
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Re: Oscillator Discussion

Post by dvgrn » February 20th, 2015, 10:10 am

kanchabao wrote:it with signals spaced uniformly to make a medium-period oscillator.?
Yes. An elbow -- a signal-turning component that can turn a 2c/3 or 5c/9 signal 90 degrees -- is the only thing we're missing. We have big complicated Herschel-based 2c/3 elbows, but we need a version that recovers completely in 19 ticks or less and can accept the next signal. There's a 2c/3 almost-elbow already, but it doubles the length of the signal and so can't be used more than once.

This still seems like the most likely way that all the remaining unknown periods (19, 23, 34, 38 and 41) can be solved all at once. Otherwise, well, it's barely possible that someone will find a 90-degree glider reflector that recovers a little faster than a Snark, which might take care of p38 and p41. And if people run enough RandomAgar and symmetrical soup searches, probably the other three periods will crop up eventually... but it may take quite a while yet.

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