![]() Of Period 44 for which Beluchenko found a stabilizer (Suhajda's orginal stabilizer used Each one is shown here in a single object. Suhajda also found four new ways to support a previously known Period 18 agar structure One of the Period 5 sparkers can be used to support the Period 5 He also found a collection of Period 3, 4 and 5 Oscillators which feature sparksĪlong one or more edges. Oscillator, and a way to create branching, "dendritic" structures. Also shown is a way to combine four into a single Nicolay Beluchenko took a previously known Period 5 Oscillator and showed how it could be made He also found a way to combine four of them, which could also function asĪ terminator for a wick or use his new terminator. Karel Suhajda found a new terminator for a Period 5 Wick which could already be stabilized byĪ Fishhook Eater. Here is a collection of new Oscillators found over the past months. Posted by HKoenig at 15:41 | 2008 November 23 (The Period 39 by Jason Summers the rest were found by Beluchenko.) Examples here show oscillators with periods of 39, 52,Ħ5, 78 and 104 generations. Much longer periods that are multiples of 13. This Period 13 Oscillator can also be combined with objects of other periods to create objects with The cells are stable, making it the first such oscillator known with a prime period greater than two. Jason SummersĪlso pointed out that four of these oscillators can be combined to create an oscillator where none of Next are a new Period 12 Oscillator and a new variation in the family of known Period 29 oscillators.įinally there is a Period 13 Oscillator which can be combined with itself and with other oscillators.įirst are examples of the three ways in which two of these can share a common block. First is a new Period 7 oscillator (on right) which is based on a variation of a symmetrical Period 7 Oscillator found earlier by Dean Hickerson. Nicolay Beluchenko has found some new oscillators. Posted by HKoenig at 21:13 | 2009 March 16 Next is a small Period 12 Oscillator, along with a Period 84 Oscillator which uses the Period 12 to suport a pair of Pi Heptominoes.įinally, here are several ways found by Jason Summers where a previously discovered Period 40 Oscillator shifts around a Blinker to create longer period oscillators. Next are a pair of Period 10 Oscillators. Here are a couple of Period 24 Oscillators based on a central Octagon like core. These interactions can be extended to larger agars. ![]() ![]() This Period 33 Oscillator shows how four previously known Period 33 Oscillators (92P33) can interact. With suitable sparks, this engine can double any periods of 13 or greater, as in this case where the Pentadecathlon's period of 15 is doubled. Next is a Period 30 Oscillator consisting of a four-boat engine bound by four Pentadecathlons. This is the first oscillator to be discovered with this period. Goucher at 06:48 | 2011 January 03Ī summary of new long period oscillators found in the last month by Nicolay Beluchenko.įirst is a Period 37 Oscillator. A continually updated status page is available on Jason Summers' website. Oscillators of periods 19, 23, 34, 38, 41, 43, and 53 are yet to be found. Matthias noted that both of these oscillators are capable of reflecting gliders by 90 degrees. Amongst these new oscillators is a period-37 by Nicolay Beluchenko, and a period-31 by Matthias Merzenich. Nevertheless, there has been some recent progress, utilising software such as Nicolay Beluchenko's RandomAgar search. To prove Life omniperiodic, we also require oscillators of all periods less than 62. We do have a set of components, namely Herschel conduits, but they only facilitate periods of 62 or greater. Some cellular automata have already been proven omniperiodic, mainly by Dean Hickerson, by finding a set of components that can be composed to produce loops of arbitrarily length, and placing multiple signals in the loop at regular intervals. A cellular automaton is said to be omniperiodic if, for every natural number n, there exists an oscillator of period n.
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