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Oscillator Discoveries Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Oscillator Discoveries Thread

Postby Scorbie » November 15th, 2016, 2:07 pm

Apple Bottom wrote:BTW, is this xp5 known?

x = 25, y = 25, rule = B3/S23
11b3o11b$10b2ob2o10b$9bobobobo9b$8b2obobob2o8b$8b2obobob2o8b$11bobo11b$
10b2ob2o10b$11bobo11b$3b2o3b2obobob2o3b2o3b$2b3o3b2obobob2o3b3o2b$bo4b
o3bo3bo3bo4bob$10o5b10o$o23bo$10o5b10o$bo4bo3bo3bo3bo4bob$2b3o3b2obobo
b2o3b3o2b$3b2o3b2obobob2o3b2o3b$11bobo11b$10b2ob2o10b$11bobo11b$8b2obo
bob2o8b$8b2obobob2o8b$9bobobobo9b$10b2ob2o10b$11b3o11b!


This first showed up in D8_1 in one of thunk's hauls back in April; thunk subsequently found another copy in late October, and now my D8_1 searcher hit it as well.

I don't recognize it at all, though that's not saying much. Does anyone else?
Sokwe wrote:
Apple Bottom wrote:Is this xp5 known?

It is closely related to a known p5 sparker found by David Eppstein (see jslife). It was also mentioned earlier in this topic. I doubt it was known before its discovery in Catagolue.


I was interested to find out that this oscillator tetramer was stabilized by this this p5:
x = 17, y = 17, rule = B3/S23
5bo2bo2bo$5b7o2$5b7o$4bo7bo$2obob2o3b2obob2o$bobobo5bobobo$bobo9bobo$
2obo9bob2o$bobo9bobo$bobobo5bobobo$2obob2o3b2obob2o$4bo7bo$5b7o2$5b7o$
5bo2bo2bo!

As this stabilizer p5 forms a tetramer on its own, we could make polymers of the sparky oscillator:
x = 41, y = 41, rule = B3/S23
14bo11bo$14bo11bo2$12b2ob2o7b2ob2o$13bobo9bobo$10b2obobob2o3b2obobob2o
$10b2obobob2o3b2obobob2o$13bobo9bobo$13bobo9bobo$13bobo9bobo$5b2o4bobo
bobo5bobobobo4b2o$5b2o3b2obobob2o3b2obobob2o3b2o$3bo8bo3bo7bo3bo8bo$3b
9o5b7o5b9o$2o37b2o$3b9o5b7o5b9o$3bo8bo3bo7bo3bo8bo$5b2o3b2obobob2o3b2o
bobob2o3b2o$5b2o4bobobobo5bobobobo4b2o$13bobo9bobo$13bobo9bobo$13bobo
9bobo$5b2o4bobobobo5bobobobo4b2o$5b2o3b2obobob2o3b2obobob2o3b2o$3bo8bo
3bo7bo3bo8bo$3b9o5b7o5b9o$2o37b2o$3b9o5b7o5b9o$3bo8bo3bo7bo3bo8bo$5b2o
3b2obobob2o3b2obobob2o3b2o$5b2o4bobobobo5bobobobo4b2o$13bobo9bobo$13bo
bo9bobo$13bobo9bobo$10b2obobob2o3b2obobob2o$10b2obobob2o3b2obobob2o$
13bobo9bobo$12b2ob2o7b2ob2o2$14bo11bo$14bo11bo!

A quick JLS search (time to set > time to search) yielded this one-side stabilization:
x = 17, y = 33, rule = B3/S23
8b2o$4b2obobo$4b2obo$8bo$4b3obo$3bo2bo$2bobobo$o2bob2o$2obobo$3bo$2obo
$2obo$3bobo4b2o$3bob2o3b2o$4bo8bo$5b9o$15b2o$5b9o$4bo8bo$3bob2o3b2o$3b
obo4b2o$2obo$2obo$3bo$2obobo$o2bob2o$2bobobo$3bo2bo$4b3obo$8bo$4b2obo$
4b2obobo$8b2o!


EDIT: Actually, found a smaller one-sided stabilization that could reduce the sparker.
Here's a p15 using the sparker which is also reduced.
x = 41, y = 29, rule = B3/S23
5b2o27b2o$bo2bobo8bo9bo8bobo2bo$b4o10b3o5b3o10b4o$5bo12bo3bo12bo$b3obo
11b2o3b2o11bob3o$bo4bo27bo4bo$2bobob2ob2o9bo9b2ob2obobo$b2ob4ob2o9bo9b
2ob4ob2o$o2bo8bo6bo8bo8bo2bo$2o2b9o7b2o6b9o2b2o$14b2o3bo2bo2b2o$2o2b9o
7b2o6b9o2b2o$o2bo8bo15bo8bo2bo$b2ob4ob2o19b2ob4ob2o$2bobob2ob2o19b2ob
2obobo$bo4bo27bo4bo$b3obo11b5o13bob3o$5bo10bo4b2o12bo$b4o9b3o4bobo12b
4o$bo2bobo6bo9b3o8bobo2bo$5b2o6b2ob2obob2o3bo7b2o$14bobo7bobo$14bo2bob
ob5o$15b2o4bo$16bob2o2b4o$16bo2bobo2bobo$17bo3b2o3bo$18b3o2b3o$20bo2bo
!


EDIT2: attatching the jdf file that found that osc; one row is saved.
(The forum does not accept .jdf files. Save it and just rename it to a .jdf extension.)
Attachments
p5sparker2.txt
(46.07 KiB) Downloaded 37 times
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Re: Oscillator Discoveries Thread

Postby toroidalet » November 19th, 2016, 5:35 pm

One half of Sombreros can be stabilized with eaters:
x = 13, y = 11, rule = B3/S23
2o6b2o$bo5bobo$bobo3bo$2b2o2b2obo$6bo2b3o$8bo3bo$6bo2b3o$2b2o2b2obo$bo
bo3bo$bo5bobo$2o6b2o!
"Opposites attract" works great in physics and chemistry, but fails miserably in sociology and psychology.
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Re: Oscillator Discoveries Thread

Postby BlinkerSpawn » November 19th, 2016, 6:56 pm

toroidalet wrote:One half of Sombreros can be stabilized with eaters:
x = 13, y = 11, rule = B3/S23
2o6b2o$bo5bobo$bobo3bo$2b2o2b2obo$6bo2b3o$8bo3bo$6bo2b3o$2b2o2b2obo$bo
bo3bo$bo5bobo$2o6b2o!

It can also have one column shaved off per half:
x = 16, y = 11, rule = B3/S23
2b2o8b2o$bo2bo6bo2bo$b2obo6bob2o$4b2o4b2o$b2o10b2o$ob2obo4bob2obo$o14b
o$b2ob2o4b2ob2o$2bobo6bobo$2bobo6bobo$3bo8bo!
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Re: Oscillator Discoveries Thread

Postby Sokwe » December 5th, 2016, 4:36 am

I noticed that Nicolay's p25 can support the 7n+1 reaction at p50 (a custom p5 sparker was needed to allow the p7 to fit):
x = 45, y = 38, rule = B3/S23
5bo$5b3o3b2o$8bo2bo$3b4o2bobo$obo4bobo2b2o2b2o$2obobobo2bobo4bo$3bo2bo
2b2obo3bo$3bo3b2o3b2o2b2o3bo$4b3obob2o5bo2bobo$7b2obo2b4ob2obo2bo$4b4o
4b2o2bo2bobob2o$4bo16bo$2o3b3o9bo3bo$o5b2o11b2o$2bo2bo3bo$b2o2b2ob2o$
8b2o$b2ob3obo5b3o$o2b3ob2o4bo3bo2b2o$2o10bo5b4o$18bo7bobo$11bo3b2obo6b
o10b2o3b2o$5b2o8bo6bob2o3bo5bo2bobo2bo$5bo6bobo7bo12bob2ob2obo$10bo8b
4o5bo5b2o2bobo2b2o$3b6obo8b2o2bo3bo4bo3bobobobo$3bo20b3o5bob2o2b5o$4b
2ob2o3b2o17b2o2bo2bo4b2o$5bobo4bobo16b3o5b3obo$5bobo6bo16b3o6bo2bo$6bo
7b2o16bo2b2obo3bo$33b2ob2ob3o$21bo2bo9bo4bo$19bo2b2o2bo7bob3o$19bo2b2o
2bo8b2o$21b4o$19bobo2bobo$19b2o4b2o!
-Matthias Merzenich
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 5th, 2016, 8:47 am

Sokwe wrote:I noticed that Nicolay's p25 can support the 7n+1 reaction at p50 (a custom p5 sparker was needed to allow the p7 to fit):
Wow, Life is full of surprises...
Edit: I'm pretty sure this trivial p7*3+1 is mentioned before, but I haven't found this in jslife, so here:
x = 21, y = 30, rule = B3/S23
9bo$9b3o$12bo$11b2o$17b2o$14bo$14bo4bo$12b2o6bo$10bo2b2obo$9bo4bo4bo$
10bobo2bo2bo$16b2o$13b3o2$12b3o$10b2o$9bo2bo2bobo$8bo4bo4bo$11bob2o2bo
$7bo6b2o$8bo4bo$2b2o9bo$2bo6b2o$7bo7b2o$6obo7bo$o15b3o$b2ob2o3b2o7bo$
2bobo4bobo$2bobo6bo$3bo7b2o!
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Re: Oscillator Discoveries Thread

Postby Sokwe » December 5th, 2016, 9:59 am

I worked with phase shift reactions a lot a couple of years ago. I have had some ideas for searching for new phase shift reactions with dr, by basically placing two known oscillator rotors next to each other and seeing if they interact. The project is just complicated enough that I am not particularly motivated to start it at this time, but I thought I would share it here.

The basic idea is to take the rotors of two known oscillators, and find all of the stator cells (both on and off) that must be set in the one-cell boundary around each rotor (calculated via a script). Next put both of these patterns into a dr search, where the rotor/boundary-stator overlaps in any way (accomplished via a script). Finally, set the rotor cells so that they are not counted in the changed-cells total, and only allow for a max of 3 to 4 changed cells. Those 3 to 4 cells would be the stator cells shared by both rotors that interact slightly with each other. Most combinations would probably just terminate due to errors in setting cells, but some would presumably find minor interactions or phase shift reactions.

One concern in this method that may not be obvious at first is that standard dr requires you to set a stable background for each of the rotors, so errors could be caused by choosing "the wrong background" when another choice of background would work. The "don't-check" cells I added might be a remedy to this, but I'm not sure if they wouldn't cause some other unforeseen problem.

I imagine that this method could find phase shift reactions that wouldn't occur naturally or that aren't obviously seen by hand. For example, such a search could probably find this p24 that Dean Hickerson found:
x = 16, y = 15, rule = B3/S23
5bo$5b3o$8bo$7bo3bo$3b2obo3bobo$2bobob2ob2obo$bo2bo8b2o$bobob8o2bo$2ob
obo8b2o$3bobobob2o$3bobobobobo$4b2obo3bo$6bob3o$6bobo$7bo!


One difficulty in this project might be in choosing which rotors to use. Generally, small rotors and rotors that only change "a little bit" from generation to generation are probably the best for phase shifts. Still, larger rotors would probably be necessary to be the "support" for the phase shift reaction.

Most interesting is the possibility of mutually-phase shifting rotors. This occured naturally in the following p17:
x = 27, y = 44, rule = B3/S23
10bo$9bobo$10bo2b2o$14bo$8b6o$7bo3bo2b3o$7b2o4bo3bob2o$11bo2bo2bobobo$
7b7obobo3bo2bo$6bo6bobobo3bobobo$6bo2b4ob2ob2ob2o2bo$3b2obobo2bo3bobo
3bo$3bobobob2o5b2obobobo$5bo3bobo3bo2bobob2o$2bo2b2ob2ob2ob4o2bo$bobob
o3bobobo6bo$2bo2bo3bobob7o$5bobobo2bo2bo$6b2obo3bo4b2o$10b3o2bo3bo$13b
6o$12bo$12b2o2bo$15bobo$16bo7$7b2o$2b2obo2bo12b2o$2b2ob2obob2o9b2o$6bo
bob2o$6ob2o10b6o$o3bo3bob2o6bo3bo2bo$2b2o5b2o6bobo4bobo$b2obo3bo3bo5bo
3bo2bo$4b2ob6o6b6o$b2obobo$b2obob2ob2o10b2o$4bo2bob2o10b2o$4b2o!

A period-5 oscillator is shifted +2 generations by four period-8 oscillators. At the same time, the p5 shifts the p8 oscillators by +1.

I found this "almost p19" by hand:
x = 16, y = 14, rule = B3/S23
7b2o$3b2obo2bo$2bobob2obo$bo2bo4bob2o$bobob5o2b3o$2obobo4bo4bo$3bobobo
bob4o$3bobobobobo$4b2obobob4o$6b2obo4bo$ob3o5b4o$2obo$5bo4b2o$4b2o4b2o
!

It is only off by one cell in generation 6, and again by that same cell in generation 19.

Also, here is a table of phase shift reactions that I was working on two years ago (Edit: a tub next to a number means that the reaction cannot be accomplished with sub-periodic components, which is obvious for prime periods, but less than obvious for many composite periods):
x = 665, y = 324, rule = B3/S23
12bob2o33b2obo69b2obo33b2obo59bob2o31b2o63bob2o31b2o73b2obo31b2o63b2ob
o33b2obo49b2obo31b2o$12b2obo33bob2o69bob2o33bob2o59b2obo32bo63b2obo32b
o73bob2o32bo63bob2o33bob2o49bob2o32bo$10b2o41b2o65b2o35b2o4b2o61b2o29b
o68b2o29bo72b2o4b2o29bo62b2o4b2o35b2o45b2o4b2o29bo$11bo26bo14bo66bo27b
o8bo5bo63bo29b2o68bo20bo8b2o71bo5bo21bo8b2o61bo5bo21bo14bo46bo5bo21bo
8b2o$10bo10bo2b2o11bobo14bo66bo9bo2b2o11bobo8bo5bo61bo4bo2b2o90bo4bo2b
2o11bobo81bo5bo3bo2b2o11bobo71bo5bo3bo2b2o11bobo14bo46bo5bo3bo2b2o11bo
bo$10b2o9b4o2bo9bobo13b2o65b2o9b4o2bo9bobo7b2o4b2o61b2o3b4o2bo19b2o67b
2o3b4o2bo9bobo7b2o71b2o4b2o3b4o2bo9bobo7b2o61b2o4b2o3b4o2bo9bobo13b2o
45b2o4b2o3b4o2bo9bobo7b2o$12bob2o10b2o7b3ob3o7b2obo69b2obo10b2o7b3ob3o
7b2obo61b2o10b2o7bob2ob2o6bo65b2o10b2o7b3ob3o6bo73b2obo10b2o7b3ob3o6bo
63b2obo10b2o7b3ob3o7b2obo49b2obo10b2o7b3ob3o6bo$12b2obo5b2o5b2o4bo7bo
6bob2o69bob2o5b2o5b2o4bo7bo6bob2o62bo5b2o5b2o5b2ob2obo5bo67bo5b2o5b2o
4bo7bo4bo74bob2o5b2o5b2o4bo7bo4bo64bob2o5b2o5b2o4bo7bo6bob2o49bob2o5b
2o5b2o4bo7bo4bo$16b2o4bo5bo6b3ob3o5b2o71b2o4b2o4bo5bo6b3ob3o5b2o4b2o
59bo7bo5bo18b2o65bo7bo5bo6b3ob3o5b2o71b2o4b2o4bo5bo6b3ob3o5b2o61b2o4b
2o4bo5bo6b3ob3o5b2o57b2o4bo5bo6b3ob3o5b2o$17bo3bo7bo7bobo7bo72bo5bo4bo
7bo7bobo7bo5bo60b2o5bo7bo84b2o5bo7bo7bobo80bo5bo4bo7bo7bobo70bo5bo4bo
7bo7bobo7bo58bo4bo7bo7bobo$16bo4b2o5b2o7bobo8bo72bo5bo3b2o5b2o7bobo8bo
5bo57b2o7b2o5b2o17b2o63b2o7b2o5b2o7bobo7b2o72bo5bo3b2o5b2o7bobo7b2o62b
o5bo3b2o5b2o7bobo8bo58bo3b2o5b2o7bobo7b2o$16b2o4bo5bo9bo8b2o71b2o4b2o
4bo5bo9bo8b2o4b2o58bo8bo5bo19bo64bo8bo5bo9bo9bo71b2o4b2o4bo5bo9bo9bo
61b2o4b2o4bo5bo9bo8b2o57b2o4bo5bo9bo9bo$12bob2o5bo7bo19b2obo69b2obo5bo
7bo19b2obo59bo8bo7bo17bo64bo8bo7bo17bo74b2obo5bo7bo17bo64b2obo5bo7bo
19b2obo49b2obo5bo7bo17bo$12b2obo5b2o5b2o19bob2o69bob2o5b2o5b2o19bob2o
59b2o7b2o5b2o17b2o63b2o7b2o5b2o17b2o73bob2o5b2o5b2o17b2o63bob2o5b2o5b
2o19bob2o49bob2o5b2o5b2o17b2o7$648bo$647bobo$646bobobo$643bo2bo3bo$43b
2o300bo296bobob2ob2ob2o$38b2obo2bo300b3o295bo2bo3bob2o$38b2ob2obob2o
200b2o98bo108b2o97b2o88bo3bo$42bobob2o94b2o104b2o97b2o108b2o97b2o86bob
obob6o$36b6ob2o98bo500b2obobo3bo2bo$36bo3bo3bob2o94bo103b6o98b2o103b6o
93b6o87bo2bo4bobo$38b2o5b2o94bob3o99bo4bobo201bo3bo2bo91bo3bo2bo86b3o
3bo2bo$37b2obo3bo3bo92bo4bo99b4o2bo95bobo102bobo4bobo89bobo4bobo88b6o$
40b2ob6o89b2ob2o2b2o101bo3bob2o90b3obo103bo3bo2bo91bo3bo2bo88bo$37b2ob
obo95bobo3bobob2o100bobo2bo89bo4bo2bo101b6o93b6o89b2o2bo$37b2obob2ob2o
94b4obob2o99b2ob2o92b3obob2o298bobo$40bo2bob2o98bo202bobo106b2o97b2o
95bo$40b2o101bo205b2o106b2o97b2o$143b2o9$39b2o600b2o2b2o$38bob3o508b2o
88bo3bobo$36b3o4bo507bobo84b2obobobobo2b2o$35bo3b4o2b2o304b2o200bo84bo
2bobo3bobobo$12bob2o6bo12b4obo2b2o2bob2o65b2o3b2o3b2o17bo76b2obo96b2ob
o24bo2bo78b2obo21b2o66b2o5b2obo13b4ob2o59b2o5b2obo13b2o3bo2bobo$12b2ob
o5bobo14bo3bo2bobobobo65bo3b2o3b2o15b5o6b2o66bob2o96bob2o19bo4bobobo
77bob2o21b2o67bo5bob2o13bo4bo61bo5bob2o15b3ob2obobo$16b2o4bo12b3o2bo2b
obobobobo64bo25bo5bob2o2bobo63b2o98b2o4b2o17b3o3bo2bo75b2o4b2o87bo4b2o
4b2o13b2obo2bo57bo4b2o4b2o13bo2bobo3bo$17bo16bo3b5obobob2ob2o63b2o3b2o
3b2o13bob3o2bobobobo2bo2b2o58bo28b2o2bo66bo5bo21bo6bo74bo5bo18b6o4b2o
58b2o3bo5bo16bob3o57b2o3bo5bo17bob2ob2ob2o$16bo17bob2o4bobobo3bo2bo67b
obobobo13bo4bobo4bobobo2bo60bo28b4o67bo5bo19b2o3bobo76bo5bo16bo3bo2bo
2bobo64bo5bo11b3o2bo66bo5bo15b2obo3bob2o$16b2o17bo2b4ob2ob2ob2ob2o62b
2o5bobo12b2ob2o2b2o2b4o2bob2obo59b2o26bo71b2o4b2o102b2o4b2o15bobo4bo3b
o60b2o3b2o4b2o11bo4b6o55b2o3b2o4b2o16bobo3bo6b2o$14b2o17bobobo2bo3bobo
3bobo64bo4b2obo12bobo3bobo2b2ob2obobo2b2o60b2obo20b6o70b2obo24b2o80b2o
bo18bo3bo2b3ob4o57bo3bo5bo13b4o3bo2bo3b2o50bo3bo5bo17bobobob6o2bo$15bo
16bobobob2o5b2obobobo63bo9b2o13b4ob2o2bo2bob2o2bo2bo59bob2o19bo4bobo
69bob2o106bob2o19b6o4bo2bo56bo5bo5bo10bobo3bo4bo3bobo49bo5bo5bo17bobob
o3bo2b2o$14bo17bobo3bobo3bo2bobobo64b2o9bo17bo2bobo2bobo4b2o58b2o4b2o
18b4o2bo67b2o4b2o20bobo85b2o22bo2bo61b2o3b2o4b2o10b2o3bo3bo2b4o51b2o3b
2o4b2o19bo2bo4bo$14b2o15b2ob2ob2ob2ob4o2bo76bo16bobob2obobo2b5o60bo5bo
21bo3bob2o64bo5bo19b3obo85bo20b4o2bo66bo5bo17b6o4bo55bo5bo20b3o3bo2b4o
$12b2o17bo2bo3bobobo4b2obo65b2o8b2o15b2o2bo2bo2b2o4bo61bo5bo22bobo2bo
65bo5bo17bo4bo2bo83bo18bo2bo2b2obob2o56b2o4bo5bo21bo2b3o50b2o4bo5bo22b
6o4bo$13bo18b2ob2obobob5o3bo66bo9bo19bo2bo3bob3o61b2o4b2o21b2ob2o66b2o
4b2o18b3obob2o82b2o19bo5bob2obo57bo3b2o4b2o18b3obo55bo3b2o4b2o21bo5bo
2b3o$12bo20bobobobobo2bo2b3o66bo9bo21b2o4bobo65b2obo96b2obo22bobo81b2o
bo22b5o62bo6b2obo20bo2bob2o52bo6b2obo24b5obo$12b2o19bobobobo2bo3bo69b
2o8b2o27bo66bob2o96bob2o23b2o81bob2o24bo64b2o5bob2o23bo4bo50b2o5bob2o
26bo2bob2o$34b2obo2b2o2bob4o508b2ob4o90bo4bo$38b2o2b4o3bo510bo93b2ob4o
$41bo4b3o511bobo93bo$42b3obo514b2o93bobo$44b2o611b2o7$457bo$40bo415bob
o$40b3o414bo2b2o91bo$43bo417bo90bobo$38b5o2bo197bob2o3b2o102b2o99b6o
90bobobo$6b2o4b2obo21bo2bo2b3o66b2obo6b2obo92b2o2b2obo6bo10b2obo4bo63b
2o5bob2o28bo72b2o3bob2o6bo11bo3bo2b3o61b2o5b2obo15bobob3o57b2o5b2obo6b
o$7bo4bob2o20bobo3bo5bo63bob2o6bob2o93bo2bob2o5bobo7b2o3bob3o65bo5b2ob
o30bo71bo3b2obo5bobo10b2o4bo3bob2o58bo5bob2o12b2obo6bo57bo5bob2o5bobo$
6bo9b2o19bo2bo2bo3bobo66b2o2b2o4b2o90bo7b2o4bo7bo2b2obobo66bo4b2o30b4o
bo69bo8b2o4bo15bo2bo2bobobo56bo4b2o4b2o10bobobobobobo56bo4b2o4b2o4bo$
6b2o8bo21b5obobobobo65bo3bo5bo91b2o6bo14bobo2bo68b2o4bo23bo5bo4bo70b2o
8bo16b7obobo3bo2bo53b2o3bo5bo13bo2b2ob2o57b2o3bo5bo$17bo16b2o6bobobo3b
o66bo3bo5bo99bo12b2o2b2o74bo24b3o3bo2b2o80bo16bo6bobobo3bobobo58bo5bo
11bobobo67bo5bo$6b2o8b2o17bo2b4ob2ob2ob2ob2o62b2o2b2o4b2o90b2o6b2o14bo
bobo2b2o2bo61b2o3b2o26bo6bo71b2o7b2o15bo2b4ob2ob2ob2o2bo53b2o3b2o4b2o
12bo2b7o55b2o3b2o4b2o$7bo4b2obo17bobobo2bo3bobo3bobo59b2obo4bo5bo92bo
2b2obo16bo2bo4b4o62bo5bob2o21b2o3bo3b2o70bo5b2o14b2obobo2bo3bobo3bo57b
o5b2obo15b2o4bo2bo55bo5b2obo$6bo5bob2o16bobobob2o5b2obobobo59bob2o5bo
5bo90bo3bob2o17b2o3bo66bo6b2obo28b2ob3o67bo7bo14bobobob2o5b2obobobo54b
o6bob2o17b2o4b2o54bo6bob2o$6b2o2b2o20bobo3bobo3bo2bobobo58b2o8b2o4b2o
90b2o6b2o17b7o63b2o9b2o22b2o3bo4bo66b2o5bo17bo3bobo3bo2bobob2o54b2o3b
2o4b2o15bo3bo3b2o52b2o9b2o$10bo20b2ob2ob2ob2ob4o2bo60bo9bo5bo99bo18bo
4bobo74bo27bob3o74b2o13bo2b2ob2ob2ob4o2bo62bo5bo17b7o2bo62bo$6b2o3bo
22bo3bobobo6b2o60bo9bo5bo90b2o7bo18b4o2bo62b2o9bo21bobo5b2o69b2o3b2o
14bobobo3bobobo6bo57b2o4bo5bo21bo2bobo50b2o10bo$7bo2b2o22bobobobob5o
63b2o8b2o4b2o91bo6b2o20bo3bob2o60bo9b2o18b3obo77bo4bo15bo2bo3bobob7o
59bo3b2o4b2o18b3o4bo52bo9b2o$6bo5b2obo19bobo3bo2bo2bo64b2obo6b2obo92bo
3b2obo24bobo2bo59bo6bob2o19bo4bo2bo73bo4bo19bobobo2bo2bo62bo6b2obo19bo
bobobobobo49bo6b2obo$6b2o4bob2o20bo5bo3bobo63bob2o6bob2o92b2o2bob2o23b
2ob2o61b2o5b2obo20b3obob2o73b2o3b2o19b2obo3bo4b2o58b2o5bob2o19bo3b2obo
b2o49b2o5bob2o$39b3o2bo2bo300bobo106b3o2bo3bo89b3obobo$39bo2b5o302b2o
109b6o92bobobo$41bo417bo99bobo$42b3o414b2o2bo96bo$44bo417bobo$463bo5$
644b2o$39bo603bo2bo$38bobo603b2o$39bo2b2o323bo273b3o$43bo201b2o10bo
107bo2bo272bo2b2o$37b6o202bobo5bob3o90b2o7bo6bo5bo273bobo$7b2o3bob2o6b
o13bo3bo2b3o66b2obo6b2obo6bo79b2obo6b2obo21bo2bo2b2o9bo47b2obo6b2obo
23bo6bobo4bo6bo51b2obo6bob2o6bo79b2obo6b2obo76b2obo6b2obo12b2o5bobo$8b
o3b2obo5bobo12b2o4bo3bob2o62bob2o6bob2o5bobo78bob2o6bob2o17b4o3b3o3b2o
4b3o47bob2o6bob2o23bobo11bo2bo55bob2o6b2obo5bobo78bob2o6bob2o76bob2o6b
ob2o12bo2bobo3bo$7bo8b2o4bo17bo2bo2bobobo65b2o2b2o10bo83b2o2b2o4b2o14b
o4b3o3b3obo3bo5bob2o45b2o8b2o22b2o3bo2bo3bobo61b2o2b2o10bo83b2o2b2o84b
2o2b2o4b2o11b3ob2o2bobo$7b2o8bo18b7obobo3bo2bo62bo3bo95bo3bo5bo12bo2bo
bobo4b2o2bo6bo4b2obo45bo9bo28b2o3bobo2b2ob2o56bo4bo94bo3bo85bo3bo5bo
18b2obobo$16bo18bo6bobobo3bobobo62bo3bo95bo3bo5bo11b3o2bobob3o2b3o4bob
o2b2o50bo9bo25b2ob2o2bobo3b2o59bo2bo96bo3bo85bo3bo5bo13b2obobo3bo$7b2o
7b2o17bo2b4ob2ob2ob2o2bo62b2o2b2o94b2o2b2o4b2o14b2o2bobo2bobob2o5bobo
3b2o46b2o8b2o17bo12bobo3bo2bo3b2o53b2o2b2o94b2o2b2o84b2o2b2o4b2o13bob
2ob2ob2ob2o$8bo5b2o16b2obobo2bo3bobo3bo61b2obo6b2obo86b2obo4bo5bo14bo
2bobo4bo2b2o2b2obobob3ob3o40b2obo6b2obo19b3o8bo2bo11bobo48b2obo6bob2o
86b2obo6b2obo76b2obo6b2obo20bo3bob2o$7bo7bo16bobobob2o5b2obobobo59bob
2o6bob2o86bob2o5bo5bo14b3obo3b2o2bo4b2o2bo8bo39bob2o6bob2o22bo3bo6bo4b
obo6bo48bob2o6b2obo86bob2o6bob2o76bob2o6bob2o20bo3bo$7b2o5bo19bo3bobo
3bo2bobob2o57b2o8b2o4b2o82b2o8b2o4b2o17bo2bo5bo2bob2ob2o2b7o37b2o8b2o
25b2o3bo5bo6bo7b2o45b2o14b2o82b2o8b2o4b2o72b2o8b2o4b2o16bobobob6o$14b
2o15bo2b2ob2ob2ob4o2bo60bo9bo5bo83bo9bo5bo15b2o2b6o3b2o3bo2b2ob2o42bo
9bo33bo2bo62bo16bo82bo9bo5bo73bo9bo5bo17b2obobo3bo2bo$7b2o3b2o16bobobo
3bobobo6bo61bo9bo5bo83bo9bo5bo14bo7bobo4bobo2b2o4b3o40bo9bo28b2o3bo65b
o14bo84bo9bo5bo73bo9bo5bo19bo2bo4bo$8bo4bo17bo2bo3bobob7o61b2o8b2o4b2o
82b2o8b2o4b2o15b7o2bo2b3o3b2o4bobobo38b2o8b2o98b2o14b2o82b2o8b2o4b2o
72b2o8b2o4b2o19b3o3bo2b3o$7bo4bo21bobobo2bo2bo67b2obo6b2obo86b2obo6b2o
bo19bo2bo3bobo2bobo5b3obo2bo39b2obo6b2obo22bobo71b2obo6bob2o86b2obo6b
2obo76b2obo6b2obo24b6o3bo3bo$7b2o3b2o21b2obo3bo4b2o63bob2o6bob2o86bob
2o6bob2o24bobob3o2b6o3bob2o40bob2o6bob2o20b3obo71bob2o6b2obo86bob2o6bo
b2o76bob2o6bob2o23bo5bo2bobobobo$39b3o2bo3bo200b2obo4b2o7b2o2bo74bo4bo
2bo295b2o2b2obo2b2obobo$42b6o204bo3bo2bo2b4o4bobo73b3obob2o299bo2b2o3b
obo$41bo210b2o3b2o3bo2bo5b2o75bobo303bo6bo$41b2o2bo303b2o302b2ob2o2b2o
$44bobo609bo$45bo610bobo$657b2o9$156b2o91bo108bo6bo$2b2obo6b2obo6bo89b
2obo6b2obo16b2o11bobo2b2o3b2o47b2obo4bob2o22bobo105b3o4b3o58b2obo4b2ob
o87b2obo4b2o3b2o76b2obo4bob2o6bo$2bob2o6bob2o5bobo88bob2o6bob2o17bo5b
2o4bobobo2bobo2bo46bob2o4b2obo21bobobo103bo6bo61bob2o4bob2o87bob2o4b2o
3b2o76bob2o4b2obo5bobo$6b2o8b2o4bo93b2o8b2o14bo5bobo3b2obobo2bob2o2bo
49b2o6b2o19bo3bo104bo6bo64b2o6b2o89b2o89b2o6b2o4bo$6bo9bo99bo9bo14bob
3o2bo2b2o3bob2ob2o3b2o50bo8bo13b2o2b2ob3o101bo3bo2bo3bo64bo7bo90bo3b2o
3b2o80bo8bo$7bo9bo99bo9bo13bo4bob2obob2o2bob2o2b2o54bo6bo14bo2bobobo
180bo7bo90bo2bobobobo81bo6bo$6b2o8b2o98b2o8b2o10b2ob2o2b2obo2bobob3o3b
obob3o50b2o6b2o10b2obob2obo105bobo4bobo66b2o6b2o89b2o4bobo82b2o6b2o$2b
2obo6b2obo96b2obo6b2obo12bobo3bobo2bobobo2bo3b3o2bo2bo45b2obo6b2o12bo
2bo2bobob3o2b2o98bo6bo63b2obo4b2obo87b2obo5b2obo78b2obo6b2o$2bob2o6bob
2o96bob2o6bob2o15b4ob2o5b2ob3o5bobobo45bob2o7bo14bobo3b2obobo2bo169bob
2o4bob2o87bob2o9b2o76bob2o7bo$2o8b2o104b2o2b2o23bo3bo4bobo2b4o3bob2o
42b2o10bo16bo3bo4b4o174b2o6b2o89b2o8bo80b2o4bo$o9bo105bo3bo20b3o2b2o4b
obob3o3b4obo44bo11b2o18bo3bo95bo24bo58bo7bo90bo8bo81bo5b2o$bo9bo105bo
3bo17bo2bo4bobo4bobo3bo6bo45bo8b2o20b8o60b2obo6b2obo6bo10bobo3bobo10bo
bo3bobo58bo7bo90bo7b2o81bo2b2o$2o8b2o104b2o2b2o17b2o3bo2bob4obo2b4ob2o
3b2o43b2o9bo26bobo59bob2o6bob2o5bobo10bo4bo2bo8bo2bo4bo58b2o6b2o89b2o
8bo80b2o3bo$2b2obo6b2obo96b2obo6b2obo17b2o3bo4bob2o4bobo50b2obo4bo23b
4o2bo63b2o2b2o4b2o4bo16bobo10bobo59b2obo4b2obo87b2obo9bo77b2obo4bo$2bo
b2o6bob2o96bob2o6bob2o24bo2bo2bo2bo54bob2o4b2o21bo2bo3bob2o60bo3bo5bo
97bob2o4bob2o87bob2o9b2o76bob2o4b2o$149b2o3b2o3b2o84b2o3bobo2bo61bo3bo
5bo$249b2ob2o62b2o2b2o4b2o$312b2obo6b2obo23bobo10bobo$312bob2o6bob2o
18bo4bo2bo8bo2bo4bo$310b2o14b2o15bobo3bobo10bobo3bobo$310bo15bo17bo24b
o$311bo15bo$310b2o14b2o$312b2obo6b2obo19bo7bo6bo$312bob2o6bob2o19b3o4b
obo4bobo$348bo$347b2o3bo3bo2bo3bo$356bo6bo$350b2o3bo6bo$356b3o4b3o$
348bobo7bo6bo$112b2obo6b2obo6bo80b2obo4b2o3b2o118b3obo75b2o3b2o3b2o4bo
78b2o3b2o4b2obo75b2o3b2o4b2obo$112bob2o6bob2o5bobo79bob2o4b2o3b2o117bo
4bo2bo72b2o3b2o4bo3bobo77b2o3b2o4bob2o75b2o3b2o4bob2o$116b2o2b2o4b2o4b
o84b2o127b3obob2o82bo5bo93b2o82b2o$37bo78bo3bo5bo90bo3b2o3b2o120bobo
75b2o3b2o3b2o83b2o3b2o8bo74b2o3b2o2bo$35b5obo5b2o4b2o62bo3bo5bo90bo2bo
bobobo121b2o75bobobobo88bobobobo9bo73bobobobo3bo$29bob2obo5b2o4bo2bo3b
o62b2o2b2o4b2o89b2o4bobo202bobo5b2o85bobo10b2o75bobo4b2o$29b2obobo2b2o
3b2o2b2obo4bo57b2obo6b2obo87b2obo5b2obo201b2obo6bo84b2obo6b2obo76b2obo
6b2obo$34bo4b3o2bobo2b2o2b2o57bob2o6bob2o87bob2o9b2o203b2o3bo89b2o4bob
2o80b2o4bob2o$33b2obo6bo2bobo2bo64b2o2b2o4b2o89b2o8bo204bo3b2o89bo2b2o
85bo2b2o4b2o$32bobo2b6o3b2ob6o61bo3bo5bo90bo8bo204bo94bo3bo85bo3bo5bo$
4b2obo4bob2o14b3ob3o3bo2b3o3bo5bo61bo3bo5bo90bo7b2o203b2o3b2o88b2o3bo
84b2o3bo5bo$4bob2o4b2obo13bo3bo3bo4bo3b2obobo3bo60b2o2b2o4b2o89b2o8bo
204bo4bo89bo2b2o85bo2b2o4b2o$8b2o6b2o11bobo2bobo3bo2bo2bobobo2bob2o55b
2obo6b2obo87b2obo9bo204bo4bo89bo5b2obo80bo5b2obo$8bo8bo12b5ob7obobo3bo
2bobo56bob2o6bob2o87bob2o9b2o203b2o3b2o88b2o4bob2o80b2o4bob2o$9bo6bo
18bo6bobobo3bobo2bo$8b2o6b2o14bo2bo2b4ob2ob2ob2obobo$4b2obo6b2o15bobob
obo2bo3bobo3bobob2o$4bob2o7bo15bo2bobob2o5b2obobo2bo$2b2o10bo14b2obobo
3bobo3bo2bobobobo319b2o$2bo11b2o14bobob2ob2ob2ob4o2bo2bo294b2o23bo2bo$
3bo8b2o15bo2bobo3bobobo6bo262b2obo6b2obo22bo24bobo$2b2o9bo15bobo2bo3bo
bob7ob5o257bob2o6bob2o22bobo18b2o3bo$4b2obo4bo15b2obo2bobobo2bo2bo3bob
o2bobo260b2o2b2o27b2o3b2o5b2o7bob2o$4bob2o4b2o15bo3bobob2o3bo4bo3bo3bo
260bo3bo24bo8b2o2bo3b2o8bo$29bo5bo3b3o2bo3b3ob3o262bo3bo23b3o12b3o9bo$
30b6ob2o3b6o2bobo263b2o2b2o26bo3bo4bo2bo$33bo2bobo2bo6bob2o260b2obo6b
2obo21b2o3bo3b3o$30b2o2b2o2bobo2b3o4bo261bob2o6bob2o48b3o3bo$30bo4bob
2o2b2o3b2o2bobob2o260b2o2b2o4b2o22b2o20bo2bo4bo$31bo3bo2bo4b2o5bob2obo
260bo3bo5bo33bo9b3o$30b2o4b2o5bob5o62b2o3b2o2b2o3b2o88b2o3b2o3b2o4bo
84bo3bo5bo20bobo9bo8b2o3bo2b2o42b2o3b2o4b2obo6bo79bob2o6b2obo$47bo64b
2o3b2o2b2o3b2o88b2o3b2o4bo3bobo82b2o2b2o4b2o18b3obo8b2obo7b2o5b2o3b2o
37b2o3b2o4bob2o5bobo78b2obo6bob2o6bo$226bo5bo79b2obo6b2obo19bo4bo2bo4b
o3b2o18bobo45b2o4b2o4bo77b2o8b2o4b2o3bobo$112b2o3b2o2b2o3b2o88b2o3b2o
3b2o84bob2o6bob2o20b3obob2o3bobo24bo36b2o3b2o2bo5bo84bo8bo5bo5bo$112bo
bobobo2bobobobo88bobobobo125bobo6bo2bo23b2o35bobobobo3bo5bo82bo10bo5bo
$114bobo6bobo92bobo5b2o121b2o7b2o63bobo4b2o4b2o82b2o8b2o4b2o$113b2obo
5b2obo91b2obo6bo194b2obo6b2obo86bob2o4bo5bo$117b2o7b2o93b2o3bo199b2o4b
ob2o86b2obo5bo5bo$118bo8bo94bo3b2o199bo8b2o88b2o2b2o4b2o$117bo8bo94bo
204bo9bo90bo2bo5bo$117b2o7b2o93b2o3b2o198b2o9bo88bo4bo5bo$118bo8bo94bo
4bo199bo8b2o88b2o2b2o4b2o$117bo8bo94bo4bo199bo5b2obo86bob2o6b2obo$117b
2o7b2o93b2o3b2o198b2o4bob2o86b2obo6bob2o7$2b2obo6b2obo6bo$2bob2o6bob2o
5bobo$6b2o8b2o4bo$6bo9bo$7bo9bo$6b2o8b2o$2b2obo6b2obo$2bob2o6bob2o$6b
2o2b2o$6bo3bo228b2o15b2o$7bo3bo100bob2o6b2obo6bo78b2o3b2o4b2obo13bobo
13bobo55b2o3b2o2b2obo6bo$6b2o2b2o100b2obo6bob2o5bobo77b2o3b2o4bob2o15b
o13bo57b2o3b2o2bob2o5bobo$2b2obo6b2obo94b2o8b2o4b2o4bo87b2o4b2o13b3o9b
3o70b2o4bo$2bob2o6bob2o95bo8bo5bo84b2o3b2o2bo5bo18bo5bo61b2o3b2o6bo$
110bo10bo5bo83bobobobo3bo5bo13b5o5b5o57bobobobo7bo$110b2o8b2o4b2o85bob
o4b2o4b2o13bo4bo3bo4bo59bobo8b2o$112bob2o4bo5bo85b2obo6b2obo17b4o3b5o
59b2obo4b2obo$112b2obo5bo5bo88b2o4bob2o16b2o4bo5bobo61b2o2bob2o$116b2o
2b2o4b2o89bo2b2o4b2o18b6o3b2o62bo6b2o$117bo2bo5bo89bo3bo5bo18bo4bobo
65bo7bo$116bo4bo5bo88b2o3bo5bo18b4o2bo65b2o7bo$116b2o2b2o4b2o89bo2b2o
4b2o20bo3bob2o63bo6b2o$112bob2o6b2obo90bo5b2obo24bobo2bo62bo3b2obo$
112b2obo6bob2o90b2o4bob2o23b2ob2o64b2o2bob2o7$4b2obo4bob2o6bo$4bob2o4b
2obo5bobo$8b2o6b2o4bo$8bo8bo$9bo6bo$8b2o6b2o330bo2bo$4b2obo6b2o330b3o
2b3o$4bob2o7bo329bo3b2o3bo$8b2o4bo329bo2bobo2bobo$8bo5b2o328bob2ob5o$
9bo2b2o329b2o2bobo$8b2o3bo328bo2bo2b6o$4b2obo4bo329bobo7bobo$4bob2o4b
2o327b2ob2o4bo3bo$341bo3bo2b2ob3o$342b3o4bobo$344bob2o$345b6o$346b3o2$
312bob2o6b2obo27bo$312b2obo6bob2o25bo3bo$310b2o8b2o4b2o22bo$311bo8bo5b
o11b2ob2o6bo5bo$310bo10bo5bo10bo10bo3b2o$310b2o8b2o4b2o11b2o2bo5bo3bo
11b2o$312bob2o4bo5bo13b3o7bo14bo$312b2obo5bo5bo12b3o8b3o13bo$316b2o2b
2o4b2o11b2o2bo7bo4b2o5b4obo$317bo2bo5bo11bo11b2o4b2o4bo4bo$b2o3b2o4b2o
bo300bo4bo5bo10b2ob2o7b2o4bo5bo2b2o$b2o3b2o4bob2o300b2o2b2o4b2o26b3o9b
o$16b2o294bob2o6b2obo31bo5bo3b2ob2o$b2o3b2o8bo295b2obo6bob2o28bo3bo6b
2ob2obo$bobobobo9bo327bo7b2o3bo7bo$3bobo10b2o327b3o4bo5bo7bo$2b2obo6b
2obo332bo8bo7b2obo2bo$6b2o4bob2o331b2o3bo3bo8bo2b4o2bo$7bo2b2o342bo12b
o4b3o$6bo3bo339b2o14b2ob2o$6b2o3bo347b3o7bob2o$7bo2b2o336bobo6b4o5b3o
4bo$6bo5b2obo330b3obo6bo4b2ob2obob2o2bo$6b2o4bob2o329bo4bo2bo4bobob2ob
obobo2bobo$346b3obob2o3b2ob2obobobo2bobob2o$348bobo6b2o5b2obo4bo$349b
2o6bo10b3obo$358bob2o9bo$356bobobo2bo6bo$356b2o4b2o6b2o11$3b2o3b2o2bob
2o6bo$3b2o3b2o2b2obo5bobo$16b2o4bo$3b2o3b2o7bo$3bobobobo6bo$5bobo8b2o$
4b2obo6b2o$8b2o5bo$9bo4bo$8bo5b2o$8b2o2b2o$9bo3bo$8bo3bo$8b2o2b2o!

This table is missing a few notable reactions, such as the 7n+3 given in Dean Hickerson's post linked above, as well as the 4n+1 and 3n+1 reactions represented by these p21 and p22 oscillators respectively:
x = 47, y = 20, rule = B3/S23
37bobo2bob2o$36bob5obobo$2b2obo30bo9bo$o2bob3o25b2obob4ob3o$2o6bo2b2o
2bo16bobo2bo5bo$5b3obo2b4o15bo2bo4bobo$7bob2o20bobob5ob2o$b2obobo4b3o
16b2obobo4bo2bo$o2b2obobobo3bo15bo2b2o3b2o2b2o$2o3bobo2b4obo16bo3bo$5b
o2b2o3bobo12b4ob4obobo$4b2o4b2o3b2o10bo3bobo2bob2obo$10bo2bobo11bobob
2o2bo5bo$11b3obo12b2obo4b3obo$14bo16b5o2b2o$13bo14b3o4bo$13b2o13bo2b4o
$29bo$30b3o$32bo!
-Matthias Merzenich
Sokwe
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Posts: 1086
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 5th, 2016, 11:37 am

And wow... That phase-shifter collection is very comprehensive.
Just two things:
- in the 7n+1 column, the p29 is not p29 but actually p141=47*3=7*20+1 (as in jslife), as the sparker is p47.
- There is a p92 = 7 * 13 + 1 in jslife which uses the twin bee shuttle.

EDIT: question regarding your almost p19: I can see that you are phase-shifting both the p7 and the p10... I recognize the 7n-1 reaction, but is the p10 phase-shifting reaction known?

EDIT2: Here's a cute p5 = 4n+1 one I found some time ago... and a 3n+1 reaction.
Scorbie wrote:Here's one from randomagar but it's really cute: Four p4s hassle each other to form a p5:
x = 16, y = 16, rule = B3/S23
7bo$6bobo$6bobo$5b2obob2o$3bo2bobobo$3b2o3bobobo$6bob7o$b5o2bo6bo$o6bo
2b5o$b7obo$3bobobo3b2o$5bobobo2bo$4b2obob2o$7bobo$7bobo$8bo!

EDIT: and more:
Diamond rings phase-shift a p3. but I'm doubtful whether other oscs can do this:
x = 38, y = 19, rule = B3/S23
28bo$27bobo$26bobobo$6bo19bobobo$5bobo15b2ob2ob2ob2o$4bobobo14b2obobob
ob2o$4bo3bo17bo3bo$2b2o2bo2b2o10b5o2bo2b5o$bo4bo4bo8bo2bo4bo4bo2bo$obo
b2ob2obobo6bob2obob2ob2obob2obo$bo4bo4bo8bo2bo4bo4bo2bo$2b2o2bo2b2o10b
5o2bo2b5o$4bo3bo17bo3bo$4bobobo14b2obobobob2o$5bobo15b2ob2ob2ob2o$6bo
19bobobo$26bobobo$27bobo$28bo!


And a 4n+2 reaction:
x = 39, y = 34, rule = B3/S23
2b2obo$2bob2o$2o$o27b2o$bo23bobo2bo$2o21b3ob3o$2b2obo16bo3bo$2bob2o16b
2o2bob4o$2o4b2o12b2o2b3obo2bo$o5bo14bo2b2o3bo$bo5bo13bobo2b3o$2o4b2o
12b2obo$2b2obo18b3o$2bob2o20bo7$2o3b2o3b2o14b2o$bo3b2o3b2o14bobo$o27bo
$2o3b2o3b2o15bob2o3bo$5bobobobo12bo2bobobobobo$2o5bobo13bobobo3bobobo$
bo4b2obo12bo2b2o5b2o2b2o$o9b2o9bo5bo3bo6bo$2o9bo9b2ob4o3b4ob2o$10bo12b
2o3b3o3b2o$2o8b2o9b2o2b2o5b2o2b2o$bo9bo8bobo2bob5obo2bobo$o9bo10bo7bo
7bo$2o8b2o!
Best wishes to you, Scorbie
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Re: Oscillator Discoveries Thread

Postby Sokwe » December 6th, 2016, 12:14 am

Scorbie wrote:in the 7n+1 column, the p29 is not p29 but actually p141=47*3=7*20+1 (as in jslife), as the sparker is p47.

Look again.

Scorbie wrote:There is a p92 = 7 * 13 + 1 in jslife which uses the twin bee shuttle.

I only included periods up to 50 in my table. Most phase shift oscillators are based on billiard tables, so high periods are hard to achieve.

By the way, the 6n+8 and 7n-1 reactions were found by Noam Elkies, the 7n+1 reaction was found by Dean Hickerson, and the 5n+2 and 8n+1 reactions were found by myself (based on the p17 oscillator). The 8n+2 and 9n+1 reactions are the same as the 8n+1 reaction.

Scorbie wrote:question regarding your almost p19: I can see that you are phase-shifting both the p7 and the p10... I recognize the 7n-1 reaction, but is the p10 phase-shifting reaction known?


Notice that two phase shifts occur on both rotors. On the burloaferimeter rotor, the phase shift is the standard 7n-1 reaction applied twice. On the p10 rotor, there are two distinct phase shifts: 10n-2 and 10n+1. I'm not sure if these reactions were recognized before, but the following p11 is essentially the p10 phase shifting itself using the 10n+1 reaction:
x = 17, y = 15, rule = B3/S23
7b2o$3b2obo2bo$2bobob2obo$bo2bo4bob2o2bo$bobob5o2b4o$2obobo4bo$3bobo3b
ob3o$3bobobobobo2bo$4b2obobo3bobo$6bob2o3bobo$6bo4bobob2o$5b2ob2obobo$
8bo2bobo$8bo2bob2o$9b2o!


I decided to take another look at the 10n+1 reaction using JLS and managed to find a p21 oscillator:
x = 18, y = 18, rule = B3/S23
7b2o$3b2obo2bo$2bobob2obo$bo2bo4bob2o2bo$bobob5o2b4o$2obo6bo$3bo2bob2o
b2ob2o$3bo3bobobob2obo$4b2obob2o6bo$6bobo2b2ob3o$6bobo3bobo$5b2obobo$
9bobo$10b2o2bo$12b3o$10b2o$9bo2bo$10b2o!

The interaction in generation 1 causes the phase shift, but notice that there is another interaction in generation 8. Luckily, this second interaction doesn't really affect the oscillator.

JLS was very helpful in this case. I noticed when working by hand that a p7 applied to the p10 would need to interact a second time, which usually means that the pattern will fall apart. In spite of this, I decided to put it into JLS to see if I could get something with no inconsistencies, which succeeded after a fair amount of fiddling.

As a result, we have these 6 closely-related oscillators:
x = 166, y = 42, rule = B3/S23
5bob2o22b2o5b2obo22b2o4b2o20b2o3bob2o21b2obo5b2o17b2obo5b2o3b2o$5b2obo
23bo5bob2o23bo5bo21bo3b2obo21bob2o6bo17bob2o5b2o3b2o$9b2o20bo4b2o4b2o
20bo5bo21bo8b2o23b2o3bo22b2o$10bo20b2o3bo5bo21b2o4b2o20b2o8bo23bo4b2o
21bo4b2o3b2o$9bo27bo5bo57bo25bo27bo3bobobobo$9b2o20b2o3b2o4b2o20b2o4b
2o20b2o7b2o23b2o3b2o21b2o5bobo$7b2o23bo3bo5bo22bo5bo21bo5b2o21b2obo6bo
17b2obo6b2obo$8bo22bo5bo5bo20bo5bo21bo7bo21bob2o5bo18bob2o10b2o$7bo23b
2o3b2o4b2o20b2o4b2o20b2o5bo20b2o9b2o15b2o15bo$7b2o27bo5bo56b2o19bo27bo
15bo$5b2o24b2o4bo5bo20b2o4b2o20b2o3b2o22bo9b2o16bo14b2o$6bo25bo3b2o4b
2o21bo5bo21bo4bo21b2o10bo15b2o15bo$5bo25bo6b2obo22bo5bo21bo4bo24b2obo
5bo18b2obo10bo$5b2o24b2o5bob2o22b2o4b2o20b2o3b2o23bob2o5b2o17bob2o10b
2o8$155bo$155b3o$7b2o28b2o56bo62bo$7bo29bo29b2o25bobo30b2o28bo3bo$9bo
28bo24b2obo2bo24bobo3b2o21b2obo2bo23b2obo3bobo$5b5o25b3obo22bobob2obo
21b2obob2o3bo20bobob2obo22bobob2ob2obo$4bo29bo4bo21bo2bo4bob2o2bo16bob
o4bobob2o16bo2bo4bob2o2bo15bo2bo8b2o$2obob5o23bob5obo19bobob5o2b4o14bo
2bob5obo2bo16bobob5o2b4o15bobob8o2bo$2obobo4bobo20bobo4bobo17b2obobo4b
o19b2obobo4bobo17b2obobo4bo19b2obobo8b2o$3bobobobob2o17b2obobobobo2bo
20bobobobob3o19bobobobo2b2o19bobobobob2ob2o17bobobob2o$3bobobobo20b2ob
obobobobo21bobobobobo2bo18bobobobobo21bobobobobob2obo16bobobobobo$4b2o
bobo24b2obo2bo23b2obobobobobo18b2obobobo22b2obobo7bo16b2obo3bo$6bobo
27bob2o26bob2o3bobo20bobobo25bobob3ob3o19bob3o$6bo29bo29bo4bobob2o19bo
bo27bobo5bo21bobo$5b2o28b2o28b2ob4obo23b2o26b2obobobo24bo$68bo2bobo55b
o2b2o$68bo2bob2o55b2o2bo$69b2o61b3o$130b2o$129bo2bo$130b2o!
-Matthias Merzenich
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 6th, 2016, 4:48 pm

Sokwe wrote:
Scorbie wrote:in the 7n+1 column, the p29 is not p29 but actually p141=47*3=7*20+1 (as in jslife), as the sparker is p47.
Look again.
Whoops :oops:
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Re: Oscillator Discoveries Thread

Postby Sokwe » December 7th, 2016, 2:55 am

Here's a p9 in which a p7 and a p8 rephase each other:
x = 17, y = 13, rule = B3/S23
5bo2bob2o$5b4obobo$3b2o7bo2bo$2bo2b5o2bobobo$2b2o6bobob2o$3bobob3obobo
$3bo3bobo3bo$4b2obob2ob2ob2o$6b2obo3bob2o$ob3o4bo3bo$2obo5bobobo$5bo4b
obo$4b2o5bo!


Edit: stator reduction:
x = 16, y = 13, rule = B3/S23
4b2o2bo$3bob4o$3bo7b2o$b2ob5o2bo2bo$2bo6bobob2o$2bobob3obobo$b2o3bobo
3bo$o2b2obob2ob2ob2o$2o3b2obo3bob2o$2b2o4bo3bo$2bo5bobobo$3bo5bobo$2b
2o6bo!
-Matthias Merzenich
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 7th, 2016, 5:35 am

Sokwe wrote:Here's a p9 in which a p7 and a p8 rephase each other:
x = 17, y = 13, rule = B3/S23
5bo2bob2o$5b4obobo$3b2o7bo2bo$2bo2b5o2bobobo$2b2o6bobob2o$3bobob3obobo
$3bo3bobo3bo$4b2obob2ob2ob2o$6b2obo3bob2o$ob3o4bo3bo$2obo5bobobo$5bo4b
obo$4b2o5bo!
Exciting!
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 9th, 2016, 10:13 am

Here's a failed p7 domino sparker search with a very long partial...
Search options:
ofind 0.9, D. Eppstein, 14 August 2000
Type ? at any prompt for help, or ^ to return to a previous prompt.
Rule: b3s23
Period: 7
Symmetry type (even, odd, none): even
Allow symmetric completion of patterns (yes, no): y
Rotor width: 5
Stator width: 5
Allow final stator rows to exceed width limit (yes, no): y
Maximum deepening amount:
Number of initially specified rows: 2
Specify initial phase of each row; '.'=dead, 'o'=live.
Phase 0: o
Phase 1: .
Phase 2: .
Phase 3: .
Phase 4: .
Phase 5: .
Phase 6: .
Phase 0: ...oo
Phase 1: ....o
Phase 2: ....o
Phase 3: ....o
Phase 4: o...o
Phase 5: o...o
Phase 6: oo.oo

Or,,, you could save the following as p7domino.txt and run ./ofind < p7domino.txt:
b3s23
7
even
y
5
5
y

2
o
.
.
.
.
.
.
...oo
....o
....o
....o
o...o
o...o
oo.oo

The partial:
x = 20, y = 41, rule = B3/S23
b2o4bo4bo4b2o$7bo4bo$b2o3b2o4b2o3b2o$obo3bo6bo3bobo$bo5bo4bo5bo$8bo2bo
$7b2o2b2o$7bo4bo$8b4o$o7bo2bo7bo$3o14b3o$3bo2b3o2b3o2bo$2bo4bo4bo4bo$
2b6o4b6o$7b6o$2b2obobo4bobob2o$3bob2o6b2obo$bo2bo10bo2bo$b2obo4b2o4bob
2o$4b2o2bo2bo2b2o$b3o2bo2b2o2bo2b3o$bo2bob8obo2bo$3bo3bo4bo3bo$bob3ob
2o2b2ob3obo$b2o4b2o2b2o4b2o$4b12o$ob2o5b2o5b2obo$2o2bo10bo2b2o$3bo12bo
$2ob4obo2bob4ob2o$bo4bo6bo4bo$bob2ob2o4b2ob2obo$2obob10obob2o$3bo3bo4b
o3bo$3b2obo6bob2o$6b2ob2ob2o$3b2obobo2bobob2o$4bobo6bobo$4bo10bo$5b2o
6b2o$9b2o!
Best wishes to you, Scorbie
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Re: Oscillator Discoveries Thread

Postby Sokwe » December 11th, 2016, 6:43 am

Here's a p18 oscillator using the 10n-2 reaction in the "almost p19":
x = 18, y = 20, rule = B3/S23
7b2o$7bo$8bo$5b3obob2o$4bo4bobo$3bob5o3bo$3bobo4b4o$2obobobobo4b2o$2ob
obobobob2o3bo$4b2obobobob2o2bo$6b2ob2obo2b2o$2b3o3bobo3bo$2bo2b3o2bobo
2b2o$5bo2b4ob2o2bo$7bo6bobo$6b2ob4obob2o$9bo4bo$9bob2obo$10bo2bo$11b2o
!


Edit: Here's the p8 variant, supported by a p8 that was found with JLS:
x = 17, y = 27, rule = B3/S23
7b2o$3b2obo2bo$2bobob2obo$bo2bo4bob2o2bo$bobob5o2b4o$2obobo4bo$3bobobo
bob3o$3bobobobo4bo$4b2obob6o$6b2obo$2b3o3b2ob4o$2bo2b2o4bo3bo$5bob2ob
2obo2bo$7bo2bob4o$5bo2bo2bo$4bob2o3b3o$5bo2b3o3bo$6bobo3b3o$5b2o$7b3ob
2ob3o$4bobo3bo2bo2bo$4b2ob2ob2obobo$7bob2ob2ob2o$7bo8bo$8b2o2b4o$10bo
2bo$10b2o!

There's probably a smaller p8 support. Unfortunately, there's no "nice way" to support the p8 part entirely with a p4 rotor.

Here are the nine related oscillators:
x = 256, y = 51, rule = B3/S23
5bob2o27b2obo27b2obo20b2o5b2obo22b2o4b2o20b2o3bob2o22b2o5b2obo18b2obo
5b2o17b2obo5b2o3b2o$5b2obo27bob2o27bob2o21bo5bob2o23bo5bo21bo3b2obo23b
o5bob2o18bob2o6bo17bob2o5b2o3b2o$9b2o23b2o4b2o23b2o4b2o18bo4b2o4b2o20b
o5bo21bo8b2o20bo4b2o4b2o20b2o3bo22b2o$10bo23bo5bo24bo5bo19b2o3bo5bo21b
2o4b2o20b2o8bo20b2o3bo5bo21bo4b2o21bo4b2o3b2o$9bo25bo5bo24bo5bo24bo5bo
57bo27bo5bo21bo27bo3bobobobo$9b2o23b2o4b2o23b2o4b2o18b2o3b2o4b2o20b2o
4b2o20b2o7b2o20b2o3b2o4b2o20b2o3b2o21b2o5bobo$7b2o27b2obo27b2obo21bo3b
o5bo22bo5bo21bo5b2o23bo5b2obo18b2obo6bo17b2obo6b2obo$8bo27bob2o27bob2o
20bo5bo5bo20bo5bo21bo7bo22bo6bob2o18bob2o5bo18bob2o10b2o$7bo26b2o4b2o
29b2o18b2o3b2o4b2o20b2o4b2o20b2o5bo23b2o3b2o4b2o14b2o9b2o15b2o15bo$7b
2o25bo5bo30bo24bo5bo56b2o27bo5bo15bo27bo15bo$5b2o28bo5bo30bo18b2o4bo5b
o20b2o4b2o20b2o3b2o24b2o4bo5bo15bo9b2o16bo14b2o$6bo27b2o4b2o29b2o19bo
3b2o4b2o21bo5bo21bo4bo25bo3b2o4b2o14b2o10bo15b2o15bo$5bo30b2obo27b2obo
20bo6b2obo22bo5bo21bo4bo25bo6b2obo18b2obo5bo18b2obo10bo$5b2o29bob2o27b
ob2o20b2o5bob2o22b2o4b2o20b2o3b2o24b2o5bob2o18bob2o5b2o17bob2o10b2o8$
245bo$245b3o$7b2o88b2o56bo31b2o59bo$7bo29b2o58bo29b2o25bobo30bo29b2o
28bo3bo$9bo23b2obo2bo25b2o2bo28bo24b2obo2bo24bobo3b2o26bo24b2obo2bo23b
2obo3bobo$5b5o22bobob2obo24bob4o25b3obo22bobob2obo21b2obob2o3bo23b3obo
b2o19bobob2obo22bobob2ob2obo$4bo26bo2bo4bob2o2bo18bo7b2o20bo4bo21bo2bo
4bob2o2bo16bobo4bobob2o19bo4bobo19bo2bo4bob2o2bo15bo2bo8b2o$2obob5o21b
obob5o2b4o16b2ob5o2bo2bo17bob5obo19bobob5o2b4o14bo2bob5obo2bo18bob5o3b
o17bobob5o2b4o15bobob8o2bo$2obobo4bobo17b2obobo4bo22bobo4bobob2o17bobo
4bobo17b2obobo4bo19b2obobo4bobo20bobo4b4o16b2obobo4bo19b2obobo8b2o$3bo
bobobob2o20bobobobob3o19bobobobobobo16b2obobobobo2bo20bobobobob3o19bob
obobo2b2o16b2obobobobo4b2o17bobobobob2ob2o17bobobob2o$3bobobobo23bobob
obo4bo17b2obobobobobo16b2obobobobobo21bobobobobo2bo18bobobobobo18b2obo
bobobob2o3bo16bobobobobob2obo16bobobobobo$4b2obobo24b2obob6o16bo2b2obo
bo3bob2o17b2obo2bo23b2obobobobobo18b2obobobo22b2obobobob2o2bo16b2obobo
7bo16b2obo3bo$6bobo27b2obo21b2o3b2obo3bob2o19bob2o26bob2o3bobo20bobobo
25b2ob2obo2b2o19bobob3ob3o19bob3o$6bo25b3o3b2ob4o18b2o4bo3bo22bo29bo4b
obob2o19bobo23b3o3bobo3bo21bobo5bo21bobo$5b2o25bo2b2o4bo3bo17bo5bobobo
21b2o28b2ob4obo23b2o23bo2b3o2bobo2b2o18b2obobobo24bo$35bob2ob2obo2bo
17bo5bobo55bo2bobo51bo2b4ob2o2bo21bo2b2o$37bo2bob4o17b2o6bo56bo2bob2o
52bo6bobo23b2o2bo$35bo2bo2bo87b2o55b2ob4obob2o24b3o$34bob2o3b3o145bo4b
o25b2o$35bo2b3o3bo144bob2obo24bo2bo$36bobo3b3o145bo2bo26b2o$35b2o154b
2o$37b3ob2ob3o$34bobo3bo2bo2bo$34b2ob2ob2obobo$37bob2ob2ob2o$37bo8bo$
38b2o2b4o$40bo2bo$40b2o!
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 12th, 2016, 9:05 am

Very fascinating to see all of the phase-shifting going on. I personally don't like the looks of the p7 and the p10, but I have to admit that they are really versatile in phase-shifting.
1. One thing to note is that the phase-shifting thing is more complex than mere additions and subtractions. After the "hit" the oscillator goes through intermittent states unequal to any of the states in the normal cycle. When the "hit" is given again, then other non-trivial phase-shifting may occur. I can't think of any oscillator based on complex phase-shifting, though.
2. There are so many complex things you can do with this and I can't really think of a way to explore all the possible ways to "hit" an oscillator...
3. The phase-shifting business is really successful with numerous new high-period oscillators! Congrats!

Edit: You should try phase-shifting the p17 with this:
x = 21, y = 17, rule = B3/S23
12b2o$7b2o3bobo$7bo2bobobo$8b2obobob2o$5bo3bobobobobo$4bobo2bobobobobo
$4bobo3bo4bobob2o$b2obob2o3b5obo2bo$2bobo4bobo4bobo$o2bob5o3b2obob2o$
2obobo4bo3bobo$3bobobobobo2bobo$3bobobobobo3bo$4b2obobob2o$6bobobo2bo$
6bobo3b2o$7b2o!

There isn't much space, but it's much better than fundamentally impossible. Hope you find a p19 with this.
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 12th, 2016, 10:18 am

Some trivial optimizations (That surprisingly nobody noticed!!!) for Josh ball's p8:
(Edit: made another trivial optimization.)
x = 36, y = 47, rule = B3/S23
10bo20bo$b2o2bo5bo10b2o2bo5bo$2bo2bobo4bo10bo2bobo4bo$4bobob2obo13bobo
b2obo2$4b6o15b6o$3bo6bo13bo6bo$2bo8bo11bo8bo$2bobo4bobo11bobo4bobo$b2o
2bo2bo2b2o7b2obo2bo2bo2bob2o$o2bo6bo2bo7bo2b3o2b3o2bo$bobo6bobo8bo12bo
$2obobo2bobob2o8b3o6b3o$4b2o2b2o14bo6bo6$20bo$11b2o2bo5bo$12bo2bobo4bo
$14bobob2obo2$14b6o$5bo7bo6bo7bo$3bobob2o3bo8bo3b2obobo$5bo3bo2bobo4bo
bo2bo3bo$2b2obobob4o2bo2bo2b4obobob2o$5bo2bo4bo6bo4bo2bo$4bobo2bob3o6b
3obo2bobo$11b2o8b2o3$20bo$11b2o2bo5bo$12bo2bobo4bo$14bobob2obo2$14b6o$
5b2o2bo3bo6bo3bo2b2o$4bob4o2bo8bo2b4obo$4bo7bobo4bobo7bo$2b2ob8o2bo2bo
2b8ob2o$3bobobobo3bo6bo3bobobobo$3bobobo3b3o6b3o3bobobo$4b2ob2o2b2o8b
2o2b2ob2o!

Edit: Whoops, The version in jslife is optimized by population... Mine is optimized by bounding box.
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Re: Oscillator Discoveries Thread

Postby Sokwe » December 13th, 2016, 12:49 am

Scorbie wrote:You should try phase-shifting the p17 with this:
x = 21, y = 17, rule = B3/S23
12b2o$7b2o3bobo$7bo2bobobo$8b2obobob2o$5bo3bobobobobo$4bobo2bobobobobo
$4bobo3bo4bobob2o$b2obob2o3b5obo2bo$2bobo4bobo4bobo$o2bob5o3b2obob2o$
2obobo4bo3bobo$3bobobobobo2bobo$3bobobobobo3bo$4b2obobob2o$6bobobo2bo$
6bobo3b2o$7b2o!

I've never noticed this variant before! It's very clever. It could potentially allow for a p18 oscillator by using the 10n+1 (now 17n+1) reaction from earlier, but I haven't yet found a suitable p9. The single-engine p17 does not allow a p9 support for the p18.

Here's an idea: put this oscillator into a 180-degree symmetric dr search. With luck, we might find something similar to the following p11 signal injector:
x = 40, y = 38, rule = B3/S23
7b2o$3b2obo2bo$2bobob2obo$bo2bo4bob2o$bobob5o2b3obob2o$2obobo4bo4b2ob
2o$3bobobobob3o$3bobobobobo2b6o$4b2obobobobo6bo$6bob2o3bo2b5o$6bo4bobo
bo5b2o$5b2ob4obo2bob2obobo$6bobo2bob4obobo2bo$6bo2bo2bo3bo6bob2o$7b2o
4b2o3b2o2b2o2bo$11bobobo4bo3bo$7b5obob5ob3o3bo$7bo4bobo4bo4b4o$10bo3bo
2bo3bobo6bo$10b2o2bobob4obo2b5o$13b2obo5b2obo5b2o$16bob3o2bo2bob2obobo
$16bobo2bob2obobobo2bo$15b2o2bo2bo3bobo4bob2o$17b2o4b4ob2o2b2o2bo$17bo
3bobo6bo3bo$18b4obob2ob2ob3o3bo$22bobo2bo3bo2b4o$20bo3bo2bo3bobo$20b2o
2bobob4obob3o$23b2obo6bo4bo$26bob4obo2bo2bo$26bobo2bob4ob2o$25b2o2bo2b
o3bobo$27b2o4b3o2bo$27bo7bobo$29bo6bo$28b2o!
-Matthias Merzenich
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 13th, 2016, 12:51 pm

The cute p5 I introduced before can actually be seen as a burloaferimeter phase-shifted at 7n-2 (n=1 in this case)
(Of course it can be see as a p4+1 as I said originally)
Edit: Used a phase that occurs in all of the p4, p5, and p7.
x = 28, y = 25, rule = B3/S23
6bo12bo$5bobo10bobo$5bobo10bobo$4b2obob2o6b2obob2o$2bo2bobob2o4bo2bobo
bo$2b3o2bo7b3o2bo3bo$5bobo10bobobob3o$7o6b6o8bo$o11bo8b6o$2bo2b2o6b3ob
obobo$b2o2b2o8bo3bo2b3o$17bobobo2bo$16b2obob2o$19bobo$6bo12bobo$5bobo
12bo$5bobo$4b2ob2o$2bo2bobo$2b3o2bo$5bobob2o$6obob2o$o5bo$3b3o$3bo!

Unfortunately the hassling mechanism is quite restrictive and I couldn't get a p12 to work. (Tip: it quickly returns no solutions with the "box" sorting with JLS; maybe that sorting's fast?)

Edit:
Here's an idea: put this oscillator into a 180-degree symmetric dr search. With luck, we might find something similar to the following p11 signal injector:
Nice idea! That would probably allow a nontrivial p34.
Best wishes to you, Scorbie
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 16th, 2016, 12:28 pm

Two fun p30s:
x = 28, y = 15, rule = B3/S23
3bobo10bo2bo$b4obo9b6o3b2o$o5bo15bo2bo$obob2ob2o5b4obobobobo$bobo3bo2b
2o2bo2bo3bobob2o$3bobobo3bo7bo3bo3bo$2b2ob2ob3o7b2ob2ob3o$bo2bobobo8bo
2bobobo$b2obo2bo9b2obobo$4bob2o12bo$b2obo12b2obob2o$b2obo12b2obo$4bo
15bo$4bobo13bobo$5b2o14b2o!
Best wishes to you, Scorbie
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 17th, 2016, 12:41 pm

Yes, yes, yeeeeeeeeeeeessssssssssss!
x = 18, y = 27, rule = B3/S23
8b2o$4b2o6b2o$3bo10bo$3bobo6bobo$b3obobo2bobob3o$o4b2ob2ob2o4bo$b3obo
6bob3o$3bo4b2o4bo$4bo3b2o3bo$5bo6bo$6b6o$3bo2b6o2bo$b3o2b2o2b2o2b3o$o
5b2o2b2o5bo$b3o2b2o2b2o2b3o$3bo2b6o2bo$6b6o$5bo6bo$4bo3b2o3bo$3bo4b2o
4bo$b3obo6bob3o$o4b2ob2ob2o4bo$b3obobo2bobob3o$3bobo6bobo$3bo10bo$4b2o
6b2o$8b2o!
(Edit: trivial optimization)

Edit2: Here's a weak p14 sparker as a bonus:
x = 26, y = 37, rule = B3/S23
12b2ob4ob2o$11bob8obo$11bobobo2bobobo$9b3obo2b2o2bob3o$8bo4bo2b2o2bo4b
o$9b3obo6bob3o$11bob2o4b2obo$12b10o$15bo2bo$15bo2bo$11bo3bo2bo3bo$9b3o
3bo2bo3b3o$8bo5bo4bo5bo$9b3o3bo2bo3b3o$11bo3bo2bo3bo$15bo2bo$15bo2bo$
12b10o$11bob2o4b2obo$9b3obo6bob3o$8bo4bo2b2o2bo4bo$9b3obo2b2o2bob3o$
11bobobo2bobobo$11bob8obo$12b2ob4ob2o2$2b2o5b2o$2b2o5b2o$14b3o$16b3o$
2bo7bo3b3o$2b2o5b2o$2b2obobob2o$bo2b2ob2o2bo$ob2obobob2obo$bobobobobob
o$4bo3bo!
As you already know, this is a biblock hassler, overclocked at p14.

Edit3: credits to Josh Ball and Matthias Merzenich for the analogous p8 and p9, where I got the idea of making the front end.

Edit4: It "optimizes" this p28...
x = 21, y = 60, rule = B3/S23
8b2o$4b2o6b2o$3bo10bo$3bobo6bobo$b3obobo2bobob3o$o4b2ob2ob2o4bo$b3obo
6bob3o$3bo4b2o4bo$4bo3b2o3bo$5bo6bo$6b6o$3bo2b6o2bo$b3o2b2o2b2o2b3o$o
5b2o2b2o5bo$b3o2b2o2b2o2b3o$3bo2b6o2bo$6b6o$5bo6bo$4bo3b2o3bo$3bo4b2o
4bo$b3obo6bob3o$o4b2ob2ob2o4bo$b3obobo2bobob3o$3bobo6bobo$3bo10bo$4b2o
6b2o$8b2o2$10bo$9bo2bo$9bo2bo$11bo2$11b2o$7b2o6b2o$6bo10bo$6bobo6bobo$
4b3obobo2bobob3o$3bo4b2ob2ob2o4bo$4b3obo6bob3o$6bo4b2o4bo$7bo3b2o3bo$
8bo6bo$9b6o$6bo2b6o2bo$4b3o2b2o2b2o2b3o$3bo5b2o2b2o5bo$4b3o2b2o2b2o2b
3o$6bo2b6o2bo$9b6o$8bo6bo$7bo3b2o3bo$6bo4b2o4bo$4b3obo6bob3o$3bo4b2ob
2ob2o4bo$4b3obobo2bobob3o$6bobo6bobo$6bo10bo$7b2o6b2o$11b2o!

I am pretty sure one could do better.
Best wishes to you, Scorbie
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Re: Oscillator Discoveries Thread

Postby BlinkerSpawn » December 17th, 2016, 1:53 pm

That's... a great-looking oscillator right there; nice find and congratulations on finally completing the wick!
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Re: Oscillator Discoveries Thread

Postby Bullet51 » December 17th, 2016, 2:03 pm

Nice find!
And it can hassle a T-tetromino (the reaction was found before):
x = 18, y = 30, rule = B3/S23
8bo$7b3o4$4b2ob4ob2o$3bob8obo$3bobobo2bobobo$b3obo2b2o2bob3o$o4bo2b2o
2bo4bo$b3obo6bob3o$3bob2o4b2obo$4b10o$7bo2bo$7bo2bo$3bo3bo2bo3bo$b3o3b
o2bo3b3o$o5bo4bo5bo$b3o3bo2bo3b3o$3bo3bo2bo3bo$7bo2bo$7bo2bo$4b10o$3bo
b2o4b2obo$b3obo6bob3o$o4bo2b2o2bo4bo$b3obo2b2o2bob3o$3bobobo2bobobo$3b
ob8obo$4b2ob4ob2o!
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Re: Oscillator Discoveries Thread

Postby Scorbie » December 17th, 2016, 2:19 pm

Thanks a lot, Bullet51 and BlinkerSpawn!
I have thought of several use cases of this oscillator way before, but now I can't think of any... Will come back for more.
Here's a p6 wick, found by me and stabilized by hought99:
viewtopic.php?f=2&t=576&p=24767&hilit=p7+domino#p24408

Edit: @Bullet51 and that's a pretty pretty reaction right there! Looks as if the t-tetromino should move somewhere but it stays the same. Cool.

Edit2 @gmc_nxtman Thanks!!! Yeah, and I was quite surprised before when there was a very sparky p7 pipsquirter but there wasn't a p7 HW emulator...
Last edited by Scorbie on December 17th, 2016, 2:31 pm, edited 2 times in total.
Best wishes to you, Scorbie
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Re: Oscillator Discoveries Thread

Postby gmc_nxtman » December 17th, 2016, 2:28 pm

This is really nice! I don't think there were a lot of nice p7 sparkers like this before.
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Re: Oscillator Discoveries Thread

Postby muzik » December 17th, 2016, 3:20 pm

Bullet51 wrote:Nice find!
And it can hassle a T-tetromino (the reaction was found before):
x = 18, y = 30, rule = B3/S23
8bo$7b3o4$4b2ob4ob2o$3bob8obo$3bobobo2bobobo$b3obo2b2o2bob3o$o4bo2b2o
2bo4bo$b3obo6bob3o$3bob2o4b2obo$4b10o$7bo2bo$7bo2bo$3bo3bo2bo3bo$b3o3b
o2bo3b3o$o5bo4bo5bo$b3o3bo2bo3b3o$3bo3bo2bo3bo$7bo2bo$7bo2bo$4b10o$3bo
b2o4b2obo$b3obo6bob3o$o4bo2b2o2bo4bo$b3obo2b2o2bob3o$3bobobo2bobobo$3b
ob8obo$4b2ob4ob2o!


A different reaction to this though, so two T-nosed p7s might exist...

**...**
.......
..***..
...*...
...*...
1c/n spaceships project

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Re: Oscillator Discoveries Thread

Postby BlinkerSpawn » December 17th, 2016, 4:02 pm

muzik wrote:A different reaction to this though, so two T-nosed p7s might exist...

**...**
.......
..***..
...*...
...*...

You'd be better off with diagonal domino sparks, it appears.
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