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Synthesising Oscillators

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

Re: Synthesising Oscillators

Postby gmc_nxtman » March 24th, 2016, 6:36 pm

Trivial 43-glider synthesis of a p5 that can certainly be reduced:

x = 110, y = 110, rule = LifeHistory
101.A5.A$100.A6.A.A$94.A5.3A4.2A$94.A.A$94.2A2$11.A.A8.A$12.2A9.2A$
12.A9.2A3$88.A$88.A.A$88.2A$16.A.A3.A$17.2A4.A$17.A3.3A63.A.A$87.2A$
88.A5$.A$2.A97.A$3A95.2A$99.2A4$19.A$20.A$18.3A40.A$61.A.A$61.2A$15.A
.A$16.2A$16.A$57.A$56.A$23.A.A30.3A$24.2A$24.A$41.A$39.A.A17.A.A$40.
2A17.2A$60.A2$49.A4.A$50.A4.A9.A$48.3A2.3A9.A.A$65.2A$45.A10.2A$43.A.
A9.A.A3.A$44.2A11.A.2A$60.2A5$48.2A$49.2A$48.A6$29.2A$28.A.A$30.A3$
65.2A$64.2A$66.A2$68.A$67.2A$67.A.A4$9.2A$10.2A95.3A$9.A16.A80.A$17.
3A6.2A54.A25.A$19.A5.A.A53.2A$18.A11.2A49.A.A$29.A.A$31.A$21.A$21.2A$
20.A.A63.3A3.A$86.A4.2A$87.A3.A.A$20.2A$19.A.A$21.A3$86.2A9.A$85.2A9.
2A$87.A8.A.A2$14.2A$13.A.A$.2A4.3A5.A$A.A6.A$2.A5.A!
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Re: Synthesising Oscillators

Postby Extrementhusiast » March 24th, 2016, 7:11 pm

gmc_nxtman wrote:Trivial 43-glider synthesis of a p5 that can certainly be reduced:

RLE

I thought I had already posted that.
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Re: Synthesising Oscillators

Postby mniemiec » March 24th, 2016, 9:05 pm

Extrementhusiast wrote:
gmc_nxtman wrote:Trivial 43-glider synthesis of a p5 that can certainly be reduced:

RLE

I thought I had already posted that.

Do you recall roughly when? I can't find any record of it, in either the syntheses I've added to my database, nor in posts from these forums that are on my "todo" list. The activation mechanism seems to look like the one you used for Pentoad 2, and this oscillator does seem to resemble Pentoad 2, but is stabilized differently.
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Re: Synthesising Oscillators

Postby Extrementhusiast » March 25th, 2016, 4:57 pm

mniemiec wrote:The activation mechanism seems to look like the one you used for Pentoad 2, and this oscillator does seem to resemble Pentoad 2, but is stabilized differently.


I think that might have been it, along with the fact that I had tried working on it much earlier, but failed at the time.

Also, I have been attempting to compile a collection of components for future use. Niemiec, could you send me a list of components that your expert system uses? That would be a helpful starting point.
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Re: Synthesising Oscillators

Postby mniemiec » March 25th, 2016, 6:17 pm

Extrementhusiast wrote:[quote="mniemiec"Also, I have been attempting to compile a collection of components for future use. Niemiec, could you send me a list of components that your expert system uses? That would be a helpful starting point.

There are currently close to a thousand (i.e. 947) of them. They are in special format usable by my own DOS Life program, using 7 different states, but I can see about converting them to a specialized Golly rule. Unfortunately, they only include converters from smaller to larger objects (or ones the same size, from simpler to more complex) to avoid breaking inductive proofs (i.e. currently, if the system finds that object A can be made from B, and B is known to be buildable, it is also known that B cannot possibly have been originally built from A). This seems like a worthy project for this afternon.
I also have an ad-hoc collection of close to a thousand various converter files of all sorts that are in a much less ready-for-prime-time state.
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Re: Synthesising Oscillators

Postby chris_c » March 27th, 2016, 10:57 am

Synthesis of the p32 that showed up on Catagolue recently:

x = 41, y = 41, rule = B3/S23
11bobo13bobo$12b2o13b2o$12bo15bo5$13bo13bo$bo12bo11bo12bo$2bo9b3o11b3o
9bo$3o35b3o$8b2o8b2ob2o8b2o$8b2o8b2ob2o8b2o4$6bo27bo$5bobo25bobo$6b2o
25b2o$15bo9bo$15bo9bo$15bo9bo$6b2o25b2o$5bobo25bobo$6bo27bo4$8b2o8b2ob
2o8b2o$8b2o8b2ob2o8b2o$3o35b3o$2bo9b3o11b3o9bo$bo12bo11bo12bo$13bo13bo
5$12bo15bo$12b2o13b2o$11bobo13bobo!


EDIT: In 32 gliders:

x = 73, y = 73, rule = B3/S23
11bobo45bobo$12b2o45b2o$12bo47bo5$13bo45bo$bo12bo43bo12bo$2bo9b3o43b3o
9bo$3o16bo33bo16b3o$17bobo33bobo$18b2o33b2o6$15bo$16b2o$15b2o3$13bo18b
o19bo$11bobo16b2o18b2o$12b2o17b2o18b2o3$45bo8bo$46b2o6bobo$31bo9bo3b2o
7b2o$29bobo7bobo$30b2o8b2o3$29b3o7b3o$31bo9bo$30bo9bo5$45b2o7b2o$46b2o
6bobo$45bo8bo3$12b2o17b2o18b2o$11bobo16b2o18b2o$13bo18bo19bo3$15b2o$
16b2o$15bo6$18b2o33b2o$17bobo33bobo$3o16bo33bo16b3o$2bo9b3o43b3o9bo$bo
12bo43bo12bo$13bo45bo5$12bo47bo$12b2o45b2o$11bobo45bobo!
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Re: Synthesising Oscillators

Postby mniemiec » March 27th, 2016, 4:18 pm

chris_c wrote:Synthesis of the p32 that showed up on Catagolue recently: ... EDIT: In 32 gliders: ...

Nice! This beats the 37-glider solution by Jason Summers and Matthias Merzenich:
http://codercontest.com/mniemiec/lg/68p32-1.rle. Unfortunately, that was first posted before I started to keep date annotations, so I'm not sure when or where it first appeared.
However, my file was last edited on 2013-03-06, so it was definitely found no later than that.
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Re: Synthesising Oscillators

Postby Extrementhusiast » March 27th, 2016, 6:00 pm

mniemiec wrote:Unfortunately, that was first posted before I started to keep date annotations, so I'm not sure when or where it first appeared.
However, my file was last edited on 2013-03-06, so it was definitely found no later than that.


The actual oscillator was found on New Year's Day 2010, so the synthesis must have come later than that!
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Re: Synthesising Oscillators

Postby chris_c » March 27th, 2016, 7:13 pm

mniemiec wrote:Nice! This beats the 37-glider solution by Jason Summers and Matthias Merzenich.


Ah, I didn't realise it had been synthesised before. Taking inspiration from the previous method I managed to get down to 24 gliders:

x = 103, y = 79, rule = B3/S23
o101bo$b2o97b2o$2o99b2o2$6bo89bo$4bobo5bo77bo5bobo$5b2o6b2o73b2o6b2o$
12b2o75b2o8$20bo10bo50bo$21bo10bo48bo$19b3o8b3o48b3o3$66bo$65bo$65b3o
10$41bo$39bobo$40b2o3$56bo$56bobo$45b2o9b2o$44bobo$46bo3$61b2o$61bobo$
61bo8$21b3o55b3o$23bo55bo$22bo12b3o42bo$37bo$36bo$22b2o55b2o$21bobo55b
obo$23bo46b3o6bo$70bo$71bo9$5b2o89b2o$4bobo89bobo$6bo89bo2$2o99b2o$b2o
97b2o$o101bo!


EDIT: Continuing the fun with reduction of symmetric syntheses here is 48P31 in 25 gliders (EDIT2: now 24 gliders by giving the synthesis 180 degree rotational symmetry instead of reflectional symmetry). The fact that the supporting blocks could be made with one glider each was an unexpected bonus:

x = 142, y = 39, rule = B3/S23
93bo$93bobo3bo$93b2o4bobo$99b2o$83bo$81bobo$18bo63b2o$17bo57bo28bo$17b
3o53bobo28bobo$51b2o21b2o4bo18bo4b2o$51b2o28bo9b2o5bo$8bo70b3o9b2o5b3o
25b2o4b2o$6bobo116bob6obo$7b2o115bo4b2o4bo$118b2o3b2ob2ob2ob2ob2o3b2o$
77bo24bo15b2o4b3obo2bob3o4b2o$16bo61bo22bo$16bobo23bo14bo18b3o22b3o$2b
2o12b2o24bo14bo24bo14bo$bobo38bo14bo24bo14bo$3bo78bo14bo$76b3o22b3o$
78bo22bo$11b2o64bo24bo15b2o4b3obo2bob3o4b2o$11bobo104b2o3b2ob2ob2ob2ob
2o3b2o$11bo112bo4b2o4bo$47b2o76bob6obo$47b2o30b3o5b2o9b3o25b2o4b2o$3o
78bo5b2o9bo$2bo71b2o4bo18bo4b2o$bo71bobo28bobo$75bo28bo$96b2o$96bobo$
96bo$79b2o$78bobo4b2o$80bo3bobo$86bo!
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Re: Synthesising Oscillators

Postby Extrementhusiast » April 5th, 2016, 10:25 pm

Six-glider snake-to-long-hook-with-tail converter with clearance moved to the other side:
x = 24, y = 25, rule = B3/S23
7bo$8bo$6b3o$21bo$20bo$13bo6b3o$11b2o$12b2o2$9bo11bo$10bo10bobo$8b3o
10b2o8$bo$b2o6b2o3b2o$obo6bo3bobo$10bo2bo$11bobo$12bo!

I'm fairly sure it can be reduced and made one-sided.

EDIT: Well, it can be made one-sided for either the same cost or one more glider (depends on the beehive), with even better clearance:
x = 25, y = 21, rule = B3/S23
23b2o$22bobo$21bo$20bo$19bo$11bobo4bo$11b2o4bo$7bo4bo3bo$5bobo7bo$6b2o
7b2o$obo$b2o5bo6b2o$bo5bobo6bo$7bobo5bo$8bo5bo$13bo$12bo$6b2o3bo$6bo3b
o$7bo2b2o$6b2o!


Amusingly, since this converter produces another junk beehive in the right orientation and in a compatible position, it can be chained:
x = 218, y = 108, rule = B3/S23
195bobo$195b2o$7bo188bo$5bobo$6b2o189bo$obo193bo$b2o193b3o$bo16bobo$
19b2o$14bo4bo179bo$15bo181b2o$13b3o16bo165b2o$33bo$31b3o$26bo172bo$27b
2o170bobo$26b2o16bo154b2o$45b2o$44b2o$40bo159bobo$38bobo159b2o$39b2o
17bo142bo$56bobo$57b2o143bo$51bobo147bo$52b2o147b3o$52bo16bobo$70b2o$
65bo4bo133bo$66bo135b2o$64b3o16bo119b2o$84bo$82b3o$77bo126bo$78b2o124b
obo$77b2o16bo108b2o$96b2o$95b2o$91bo113bobo$89bobo113b2o$90b2o17bo96bo
$107bobo$108b2o97bo$102bobo101bo$103b2o101b3o$103bo16bobo$121b2o$116bo
4bo87bo$117bo89b2o$115b3o16bo73b2o$135bo$133b3o$128bo80bo$129b2o78bobo
$128b2o16bo62b2o$147b2o$146b2o$142bo67bobo$140bobo67b2o$141b2o17bo50bo
$158bobo$159b2o51bo$153bobo55bo$154b2o55b3o$154bo16bobo$172b2o$167bo4b
o41bo$168bo43b2o$166b3o16bo27b2o$186bo$184b3o$179bo34bo$180b2o32bobo$
179b2o16bo16b2o$198b2o$197b2o$193bo21bobo$191bobo21b2o$192b2o17bo4bo$
209bobo$210b2o$204bobo$205b2o5bo$205bo5bobo$211bobo$212bo3$210b2o$203b
2o5bo$196b2o5bo7bo$189b2o5bo7bo5b2o$182b2o5bo7bo5b2o$175b2o5bo7bo5b2o$
168b2o5bo7bo5b2o$161b2o5bo7bo5b2o$154b2o5bo7bo5b2o$147b2o5bo7bo5b2o$
140b2o5bo7bo5b2o$133b2o5bo7bo5b2o$126b2o5bo7bo5b2o$119b2o5bo7bo5b2o$
112b2o5bo7bo5b2o$105b2o5bo7bo5b2o$98b2o5bo7bo5b2o$98bo7bo5b2o$99bo5b2o
$98b2o!
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Re: Synthesising Oscillators

Postby chris_c » April 9th, 2016, 8:43 am

Synthesis of a recent p6 from Catagolue in at most 36 gliders:

x = 96, y = 96, rule = B3/S23
86bo$86bobo$86b2o5$bo$2bo$3o3$81bo$79b2o$12bobo65b2o$13b2o28bo$13bo27b
obo$42b2o5$53bo$52bo$52b3o3$65bo$28bo36bobo$29bo8bo26b2o$27b3o8bo$38bo
7$64b3o3$24bo24bo29bo$22bobo24bo28bo$23b2o24bo28b3o3$41b3o3$52b3o3$15b
3o28bo24b2o$17bo28bo24bobo$16bo29bo24bo3$29b3o7$57bo$57bo8b3o$29b2o26b
o8bo$28bobo36bo$30bo3$41b3o$43bo$42bo5$52b2o$52bobo27bo$52bo28b2o$14b
2o65bobo$15b2o$14bo3$93b3o$93bo$94bo5$8b2o$7bobo$9bo!


EDIT: in at most 28:

x = 62, y = 62, rule = B3/S23
6bobo$7b2o49bo$7bo48b2o$bobo53b2o$2b2o28bo$2bo27bobo$31b2o28bo$59b2o$
60b2o3$30bo$29bo$29b3o3$42bo$17bo24bobo$18bo23b2o$16b3o5$32bo$32bo$32b
o3$4b3o17b3o21b2o$6bo6bo34bobo5bo$5bo5bobo34bo6bo$12b2o21b3o17b3o3$29b
o$29bo$29bo5$43b3o$18b2o23bo$17bobo24bo$19bo3$30b3o$32bo$31bo3$2o$b2o$
o28b2o$29bobo27bo$29bo28b2o$3b2o53bobo$4b2o48bo$3bo49b2o$53bobo!


EDIT2: Catagolue pointed out the existence of 26P40. Here is a 10 glider synthesis:

x = 29, y = 28, rule = B3/S23
18bo$17bo$17b3o$3bo$4bo22bo$2b3o20b2o$26b2o4$27bo$26bo$5bo20b3o$6bo15b
3o$4b3o15bo$3o20bo$2bo$bo4$b2o$2b2o20b3o$bo22bo$25bo$9b3o$11bo$10bo!
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Re: Synthesising Oscillators

Postby drc » April 12th, 2016, 12:05 pm

IDK if this is the best place to post this but does anybody have 60P312? It isn't on the wiki, but it is on oscillator page.
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Re: Synthesising Oscillators

Postby mniemiec » April 12th, 2016, 5:34 pm

chris_c wrote:Catagolue pointed out the existence of 26P40. Here is a 10 glider synthesis: ...

Very nice!

drc wrote:IDK if this is the best place to post this but does anybody have 60P312? It isn't on the wiki, but it is on oscillator page.

There are several ways of capping the P156 gun, some of which double the period: http://codercontest.com/mniemiec/period.htm#p312

However, there is one missing period on http://www.conwaylife.com/wiki/Category:Oscillators_with_specific_period. It has a link to P186 oscillators, of which none are listed, and I can't find any references to any anywhere else.
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Re: Synthesising Oscillators

Postby gmc_nxtman » April 16th, 2016, 12:04 pm

Some oscillators that appear synthesisable, ordered by period:

x = 68, y = 155, rule = B3/S23
9b2o30b2o$8bo2bo28bo2bo$7bobobo27bobobo$7bo2bo28bo2bo$6bo31bo$7bobo29b
obo$4bo31bo$2b2obo5b2o21b2obo5b2o$bo8bo2bo3b2o14bo8bo2bo$obo2bo3bo2bo
3bo2bo12bobo2bo3bo2b2o$o2bo4bo5bo2bobo12bo2bo4bo$b2o4bo10bo14b2o4bo$7b
obo4bob2o21bobo$8bo6bo24b2o$10bobo$13bo$9bo2bo$8bobobo$8bo2bo$9b2o11$
12b2o$11bobo$11bo$9b2ob4o$8bobobo2bo$8bobobo$6b2o2bo$5bo4b2o$5b5o10b2o
$3b2o4bo10bo$2bo2b3o4b3o3bobo$2b2obo5bo3bo2b2o$5bo4bo5bo7bo$2b3o5bo5bo
5b3o$2bo7bo5bo4bo$7b2o2bo3bo5bob2o$6bobo3b3o4b3o2bo$6bo10bo4b2o$5b2o
10b5o$15b2o4bo$16bo2b2o$14bobobo$11bo2bobobo$11b4ob2o$15bo$13bobo$13b
2o8$22b2o$21bobo$21bo$14bo5b2o$13bobo6b2o$14bo4b3o2bo$18bo3b2o$18b4o$
16b2o3bo$15bobo2bo$13bobobobo$11b3obob2o$10bo3bobo$10b2o2bobo$15bo11$
32bo33b2o$31b2o33bo$30bob2o30bobo$3b4o22b3o2bo14b2o13b2o$2bo4bo23bobob
o14bo$2bo3bobo23bobobo12bo4b2o$3bo3bobo6b2o15bo2b3o10b2o3b2o$9bo5bobo
16b2obo13bo$9bo5bo19b2o12b3o5b2o$6bo2bo5b3o17bo12bo7bob2o$7b2o39b2o9bo
2$7b2o$6bo2bo5b3o17bo$9bo5bo19b2o$9bo5bobo16b2obo10b2o$3bo3bobo6b2o15b
o2b3o9bo$2bo3bobo23bobobo12b3o4b2o$2bo4bo23bobobo15bo3bo$3b4o22b3o2bo
14b2o5b3ob2o$30bob2o15bo9b2o$31b2o17bo$32bo16b2o13b2o$64bobo$66bo$66b
2o4$25b2o$11b2o12b2o$11b2o$31bo$30bobo$31bo$26b2o$26b2o$17b3o$17bo$17b
3o$10b2o$10b2o2$44b2o$14b2o28bo$13bo2bo13bo11bobo$14bobo3bo8bobo10b2o$
15bo3bobo7bobo3bo$7b2o10bobo8bo3bobo$6bobo11bo13bo2bo$6bo28b2o$5b2o2$
39b2o$39b2o$31b3o$33bo$31b3o$23b2o$23b2o$19bo$18bobo$19bo$38b2o$24b2o
12b2o$24b2o!


And a start on one of the p72s:

x = 54, y = 61, rule = B3/S23
4bobo$5b2o$5bo4$22bobo$23b2o$23bo$26bo$bo15bo8b2o6bobo$2bo12bobo7bobo
6b2o$3o13b2o13bo3bo$29b2o$26b2o2b2o$26bobo$26bo13$29b3o$29bo$30bo4$13b
3o$15bo$14bo4$7b2o$6bobo$8bo2$46bo$45b2o$3b2o40bobo$2bobo6b2o$4bo7b2o$
11bo4$bo50b2o$b2o48b2o$obo50bo2$49b2o$48b2o$50bo!
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Re: Synthesising Oscillators

Postby Extrementhusiast » April 22nd, 2016, 1:57 pm

Catherine wheel and clock II:
x = 1021, y = 105, rule = B3/S23
633bo$632bo$632b3o$624bo$568bo46bo9bo$567bo48bo6b3o$567b3o44b3o$565bo$
566bo43bobo18bobo12bo191bo$564b3o44b2o9b2o7b2o13bobo190bo$611bo10b2o8b
o13b2o189b3o$602b4o235bo$601bo3bo5bo23bobo6b2o195bobo$605bo6bo22b2o6b
4o95bo98b2o$485b2ob2o34b2ob2o33b2ob2o10bo23bo2bo5b3o6b2ob2o12bo5b2ob2o
19b2o31b2o27b2o10b2o20b2o115bo$485b2obobo33b2obobo32b2obobo8bo42b2obob
o18b2o21b2o31b2o27b2o11b2o19b2o32b2o34b2o35b2o7bo19b2o36b2o39b2o36b2o$
490bo38bo37bo8b3o45bo171b2o34b2o35b2o3b2o2b3o17b2o36b2o39b2o36b2o$489b
ob2o4bo30bob2o4bobo27bob2o4bo34bo13bob2o37b4o29b4o25b4o30b4o13bo69b3o
23bo2bo$485b2obobo2bo3bobo24b2obobo2bo3b2o24b2obobo2bo2bobo8bo25b2o7b
2obobo2bo32b2obo4bob2o21b2obo4bob2o17b2obo4bob2o22b2obo4bob2o3bobo3bob
o14b4o3b2o27b4o3b2o8bo19b4o2bob2o19b4o34b4o5bo4bo26b4o13bobo18b4o$485b
2obo2bobo3b2o25b2obo2bobo4bo24b2obo2bobo2b2o8bo25b2o8b2obo2bobo32b2obo
3b2obo22b2obo3b2obo18b2obo3b2obo23b2obo3b2obo4b2o4b2o11b2obo4bobobo23b
2obo4bobobo9bo14b2obo4bobo18b2obo4bo29b2obo4bo4bobo2bobo20b2obo4bo8b2o
2b2o15b2obo4bo$489b2obo35b2obo9bo24b2obo13b3o37b2obo36bobo2bobo25bobo
2bobo21bobo2bobo26bobo2bobo5bo17b2obo3b2obo25b2obo3b2obo26b2obo3b2obo
18b2obo3b2o29b2obo3b2o4b2o3b2o21b2obo3b2o2b2o4bobo2bo15b2obo3b2o$491bo
5bo32bo4b2o2b2o27bo4b2o3bo46bo4b2o31bo2bobob2o24bo2bobob2o20bo2bobob2o
25bo2bobob2o6bo18bobo2bobo28bobo2bob2o28bobo2bob2o20bobo2bob2o5bo23bob
o2bob2o32bobo2bobobo4bo23bobo2bob2o$489b2o5b2o30b2o4bo2bo2b2o24b2o4bo
2bobobo43b2o4bo2bobo29b4o2bo26b4o2bo22b4o2bo27b4o2bo6b2o18bo2bobob2o
27bo2bobobo29bo2bobobo21bo2bobobo5bo24bo2bobobo33bo2bobobo11b3o16bo2bo
bob2o$488bo7bobo28bo6bo2bo27bo6bo2bob2o43bo6bo2bob3o33bobo30bobo26bobo
31bobo4bobo18b4o2bo5bo23b4o2bo30b4o2bo22b4o2bo5b3o23b4o2bo4b3o27b4o2bo
11bo19b4o$489b2o37b2o5b2o29b2o5b2o48b2o5b2o5bo24b4o5b2o22b4o5b2o20b2o
5b2o8bo16b2o5bobo30bobo3bobo27bob2o33bobo26bobo35b2o3bo35bobo10bo$490b
o38bo37bo56bo11b2o24bo2bo28bo4bo26b2o14b2o16b2o6bo25b2o5bobo2b2o2b2o
18b2o5bobo27b2o5b2o20b2o5b2o29b2o10bo28b2o5b2o29b2o$487b3o36b3o35b3o
11bo35bo6b3o39b2o29b2o2b2o42bobo49b2o6b2o5b2o19b2o6bo28b2o27b2o36b2o
39b2o11b2o23b2o$487bo38bo37bo13b2o34b2o5bo19b2o131b2o35bo28b2o146bobo$
577bobo33bobo25bobo21bo104bo2b2o65bobo65b3o77bo$581b3o57bo22b2o104b2o
3bo28b2o34bo67bo$581bo82bobo74b2o26bobo31b2o104bo$582bo43bo10bo53b3o4b
3o39b2o63bo$391bobo219b2o11b2o8b2o23b2o30bo6bo41bo168b2o$391b2o184bo
34bobo10bobo8bobo23b2o28bo6bo101b3o107bobo$355bo30bo5bo184b2o23b3o9bo
46bo73b3o65bo107bo80b2o$303bo52b2o29bo188bobo25bo78b3o14b2o35bo64bo
189bobo$304b2o49b2o28b3o215bo81bo10b2ob2o35bo255bo$22bo280b2o84bo250b
3o41bo10bobo3bo$22bobo252bo32bo50bo27bobo248bo56bo39b3o$22b2o253bobo
29bo49b2o21bo6b2o227bo9b3o10bo95bo$117bo159b2o17bobo10b3o44bo3b2o18bob
o234b3o7bo2bo107bo$118bo156bo21b2o58b2o22b2o233b2obo10bo$116b3o154bobo
21bo5b2o51b2o258b3o11bo$9bobo108bo153b2o26bo2bo310b3o8bobo$9b2o108bo
183b2o21b2o23b2o8bo26b2o29b2ob2o29b2ob2o159b2o$10bo35b2o30b2o39b3o6b2o
40b2o26b2o51b2o26b2o26b2o4b3o10bobo22bobo7bobo24bobo28b2obobo28b2obobo
$45bo2bo28bo2bo46bo2bo38bo2bo24bo2bo49bo2bo24bo2bo24bo2bo3bo14bo2bo3bo
17bo2bo4b2o27bo33bo33bo$2b3o9bo29bob3o27bob3o45bob3o37bob3o23bob3o38bo
3bo5bob3o23bob3o23bob3o4bo12bob3o3bobo14bob3o32bob2o30bob2o30bob2o$4bo
8b2o28bobo29bobo39bobo5bobo39bobo25bobo39bobob2o5bobo22b2obobo22b2obob
o16b2obobo6b2o11b2obobo31b2obobo2bo25b2obobo2bo25b2obobo2bo$3bo9bobo
27bo2bo28bo2bo3bo35b2o5bo2bo38bo2bo24bo2bo39b2o2b2o4bo2bo21b2obo2bo21b
2obo2bo15b2obo2bo18b2obo2bo30b2obo2bobo25b2obo2bobo25b2obo2bobo$44b2o
30b2o4bobo33bo7b2o3b2o35b2obo24b2obo49b2obo24b2obo24b2obo18b2obo4bo16b
2obo3b2o28b2obo30b2obo30b2obo$48bo33b2o30bo16b2o37bo27bo52bo27bo27bo
21bo4b2o18bo3bo2bo29bo33bo33bo$47bo28b2o7b2o28b2o9b2o40b2o26b2o51b2o
26b2o26b2o20b2o5bobo15b2o4bo2bo27b2o32b2o32b2o$47b3o25bobo7bobo22b2o2b
2o9bobo36bo2bo28bo52bo27bo27bo21bo24bo6b2o28bo27bo5bo32bo$17b2o2b2o19b
3o31bo8bo23bobo8b2o4bo37b4o8bo21bo51bo27bo27bo21bo24bo36bo27b2o4bo32b
2o7bo$16bobob2o22bo66bo8bobo11bo24b2o14bo16bo4b2o50b2o26b2o26b2o20b2o
23b2o35b2o26b2o3bobo33bo5b2o$18bo3bo20bo2b2o20b3o51bo10b2o25b2o2b2o9b
3o15bo2bo5b2o177bo13bo25bobo25bo7bo7b2o$46bobo21bo51b2o9bobo23bo4b2o5b
3o17b3o3b2o2b2o153b2o24bo2b2o6b2o22b2o3bo24bobo7b2o$46bo22bo57b2o42bo
26bo4bo151bobo22b3o3b2o6b2o22b2o5bobo20b2o$3o11b3o56b2o30b2o19bobo43bo
24bo159bo18b3o6bo31bo7b2o$2bo13bo52bo2b2o30bobo8b3o10bo3bo20b2o33b3o6b
2o179bo14bo32bo23b3o$bo13bo53b2o3bo31bo10bo13b2o4bo16b2o34bo186bo4b2o
8b2o58bo$68bobo45bo14bobo2b2o15bo12b2o21bo9bo181bobo2b2o4bobo32b2o22bo
334bo$123b2o11bobo28b2o30b2o20b3o159bob2o39bobo356bo$123bobo40bo31bobo
22bo163bo40bo302bo53b3o$74b2o47bo7b2o40b2o15b3o29bo238b3o266bo50bo$74b
obo54bobo38b2o18bo268bo268b3o39bo9bo$74bo43b2o11bo42bo16bo270bo265bo
44bo6b3o$117bobo47b2o560bo41b3o$119bo48b2o557b3o47b2o$167bo594b2o5bo7b
2o5bobo180bo$761b4o2bobo14b2o181bobo$761b2ob2o2b2o15bo181b2o$763b2o$
484b2ob2o6bo19b2ob2o27b2ob2o27b2ob2o35b2ob2o31b2ob2o31b2ob2o29b2ob2o
44b2ob2o39b2o24b2o21b2o29b2o29b2o28b2o9bo24b2o$484b2obobo3bobo3bo15b2o
bobo26b2obobo26b2obobo12bo21b2obobo30b2obobo30b2obobo28b2obobo36bobo4b
2obobo38b2o24b2o21b2o29b2o29b2o28b2o9bobo22b2o$489bo4b2o2bo21bo31bo9bo
bo19bo13b2o24bo35bo35bo33bo37b2o9bo190b2o$488bob2o6b3o18bob2o28bob2o7b
2o19bob2o10b2o24bob2o32bob2o32bob2o30bob2o35bo9bob2o34b4o22b4o19b4o6bo
bo18b4o27b4o8bo17b4o3b2o27b4o$484b2obobo2bo22b2obobo2bob2o20b2obobo2bo
b2o4bo15b2obobo2bob2o28b2obobo2bob2o6bo17b2obobo2bob2o24b2obobo2bob2o
22b2obobo2bob2o37b2obobo2bob2o26b2obo4bob2o14b2obo4bob2o11b2obo4bob2o
2b2o2b3o10b2obo4bob2o19b2obo4bob2o2b2o14b2obo4bobobo10bo12b2obo4bo$
484b2obo2bobo3b2o17b2obo2bobobobo19b2obo2bobobobo19b2obo2bobobo7bo21b
2obo2bobobo6bo18b2obo2bobobo25b2obo2bobobo23b2obo2bobobo31bo6b2obo2bob
obo27b2obobo2bob2o14b2obobo2bob2o11b2obobo2bob2o3bo2bo12b2obobo2bobobo
18b2obobo2bobobo2b2o13b2obobo2bobo11bo13b2obobo2bo$488b2obo4bobo20b2ob
o3bo24b2obo2bobo2b2o19b2obo2bo6b2o25b2obo2bo6b3o20b2obo2bo29b2obo2bo
27b2obo2bo32bo9b2obo2bo30bobo2bo20bobo2bo17bobo2bo10bo14bobo2bo2bo22bo
bo2bobobo6bo13bobo2bobo11b3o14bobo2bob2o$490bo5bo24bo31bo3b2o2b2o22bo
3bobo4bobo26bo3bobo29bo3bobo29bo3bobo27bo3bobo28b3o11bo3bobo28bo2bobo
20bo2bobo17bo2bobo5b2o18bo2bobo25bo2bobob2o6b2o13bo2bobobobo4bo21bo2bo
bob2o$488b2o29b2o30b2o10bo19b2o5b2o31b2o5bobo6b2o18b2o5bobo26b2o5bobo
24b2o5bobo39b2o5bobo28b4o22b4o19b4o5b2o20b4o27b4o10bobo13b4o3b2o4bobo
2bo17b4o$487bo30bo11bo19bo31bo39bo8bobo5bobo16bo8bobo24bo8bobo22bo8bob
o37bo8bobo87bo30bo62b2o2b2o$488b2o29b2o8b2o20b2o30b2o11bo26b2o7bobo4bo
19b2o7bobo2b3o19b2o7bobo22b2o7bobo30b2o5b2o7bobo5bo18b4o22b4o21b2o29b
2o8b2o19b2o28b2o15bobo16b2o$489bo30bo8bobo20bo31bo10b2o27bo8b2o25bo8bo
3bo22bo8bobo2b3o17bo8bobo28bobo6bo8bobo3bo19bo2bo21bo4bo3bo16b2o29b2o
8bobo18b2o28b2o34b2o$486b3o28b3o29b3o29b3o11bobo23b3o33b3o14bo18b3o10b
o3bo16b3o10bobo2b3o24bo3b3o10bobo2b3o42b2o2b2o2bo$486bo30bo8b3o20bo31b
o39bo35bo14bo20bo17bo15bo13bo3bo30bo13bobo25b3o26b3o53b3o$528bo143b2o
35bo36bo33bo10bo26bo86bo$527bo143bobo35b2o33bo35b2o5bo26b2o3bo19b3o2b
3o57bo$708bobo33b2o24b2o7bobo4b2o4bo20bobo23bo4bo$743bobo14bo10b2o13bo
bo2b2o22bo24bo4bo$760b2o8bo20bobo24b3o$759bobo19bo36bo16b3o$780b3o36bo
17bo$772b3o4b2obo53bo$771bo2bo4b3o5b2o$774bo5b2o4b2o$770bo3bo13bo$774b
o$771bobo2$789b3o$789bo$790bo!
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Re: Synthesising Oscillators

Postby gmc_nxtman » April 22nd, 2016, 8:22 pm

Is there any cornershooting dot spark inserter that can insert a spark in either of the red locations?

x = 19, y = 11, rule = LifeHistory
19B$18B$.16B$4.12B$4.13B$7.10B$9.7B$9.7B$10.4B2$8.D6.D!
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Re: Synthesising Oscillators

Postby BlinkerSpawn » April 22nd, 2016, 9:01 pm

gmc_nxtman wrote:Is there any cornershooting dot spark inserter that can insert a spark in either of the red locations?

x = 19, y = 11, rule = LifeHistory
19B$18B$.16B$4.12B$4.13B$7.10B$9.7B$9.7B$10.4B2$8.D6.D!

Where's the rest of the reaction? What's going on around the spark insertion site determines what does and doesn't work.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
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Re: Synthesising Oscillators

Postby BobShemyakin » April 23rd, 2016, 2:29 am

Extrementhusiast wrote:Catherine wheel and clock II:
x = 1021, y = 105, rule = B3/S23
633bo$632bo$632b3o$624bo$568bo46bo9bo$567bo48bo6b3o$567b3o44b3o$565bo$
566bo43bobo18bobo12bo191bo$564b3o44b2o9b2o7b2o13bobo190bo$611bo10b2o8b
o13b2o189b3o$602b4o235bo$601bo3bo5bo23bobo6b2o195bobo$605bo6bo22b2o6b
4o95bo98b2o$485b2ob2o34b2ob2o33b2ob2o10bo23bo2bo5b3o6b2ob2o12bo5b2ob2o
19b2o31b2o27b2o10b2o20b2o115bo$485b2obobo33b2obobo32b2obobo8bo42b2obob
o18b2o21b2o31b2o27b2o11b2o19b2o32b2o34b2o35b2o7bo19b2o36b2o39b2o36b2o$
490bo38bo37bo8b3o45bo171b2o34b2o35b2o3b2o2b3o17b2o36b2o39b2o36b2o$489b
ob2o4bo30bob2o4bobo27bob2o4bo34bo13bob2o37b4o29b4o25b4o30b4o13bo69b3o
23bo2bo$485b2obobo2bo3bobo24b2obobo2bo3b2o24b2obobo2bo2bobo8bo25b2o7b
2obobo2bo32b2obo4bob2o21b2obo4bob2o17b2obo4bob2o22b2obo4bob2o3bobo3bob
o14b4o3b2o27b4o3b2o8bo19b4o2bob2o19b4o34b4o5bo4bo26b4o13bobo18b4o$485b
2obo2bobo3b2o25b2obo2bobo4bo24b2obo2bobo2b2o8bo25b2o8b2obo2bobo32b2obo
3b2obo22b2obo3b2obo18b2obo3b2obo23b2obo3b2obo4b2o4b2o11b2obo4bobobo23b
2obo4bobobo9bo14b2obo4bobo18b2obo4bo29b2obo4bo4bobo2bobo20b2obo4bo8b2o
2b2o15b2obo4bo$489b2obo35b2obo9bo24b2obo13b3o37b2obo36bobo2bobo25bobo
2bobo21bobo2bobo26bobo2bobo5bo17b2obo3b2obo25b2obo3b2obo26b2obo3b2obo
18b2obo3b2o29b2obo3b2o4b2o3b2o21b2obo3b2o2b2o4bobo2bo15b2obo3b2o$491bo
5bo32bo4b2o2b2o27bo4b2o3bo46bo4b2o31bo2bobob2o24bo2bobob2o20bo2bobob2o
25bo2bobob2o6bo18bobo2bobo28bobo2bob2o28bobo2bob2o20bobo2bob2o5bo23bob
o2bob2o32bobo2bobobo4bo23bobo2bob2o$489b2o5b2o30b2o4bo2bo2b2o24b2o4bo
2bobobo43b2o4bo2bobo29b4o2bo26b4o2bo22b4o2bo27b4o2bo6b2o18bo2bobob2o
27bo2bobobo29bo2bobobo21bo2bobobo5bo24bo2bobobo33bo2bobobo11b3o16bo2bo
bob2o$488bo7bobo28bo6bo2bo27bo6bo2bob2o43bo6bo2bob3o33bobo30bobo26bobo
31bobo4bobo18b4o2bo5bo23b4o2bo30b4o2bo22b4o2bo5b3o23b4o2bo4b3o27b4o2bo
11bo19b4o$489b2o37b2o5b2o29b2o5b2o48b2o5b2o5bo24b4o5b2o22b4o5b2o20b2o
5b2o8bo16b2o5bobo30bobo3bobo27bob2o33bobo26bobo35b2o3bo35bobo10bo$490b
o38bo37bo56bo11b2o24bo2bo28bo4bo26b2o14b2o16b2o6bo25b2o5bobo2b2o2b2o
18b2o5bobo27b2o5b2o20b2o5b2o29b2o10bo28b2o5b2o29b2o$487b3o36b3o35b3o
11bo35bo6b3o39b2o29b2o2b2o42bobo49b2o6b2o5b2o19b2o6bo28b2o27b2o36b2o
39b2o11b2o23b2o$487bo38bo37bo13b2o34b2o5bo19b2o131b2o35bo28b2o146bobo$
577bobo33bobo25bobo21bo104bo2b2o65bobo65b3o77bo$581b3o57bo22b2o104b2o
3bo28b2o34bo67bo$581bo82bobo74b2o26bobo31b2o104bo$582bo43bo10bo53b3o4b
3o39b2o63bo$391bobo219b2o11b2o8b2o23b2o30bo6bo41bo168b2o$391b2o184bo
34bobo10bobo8bobo23b2o28bo6bo101b3o107bobo$355bo30bo5bo184b2o23b3o9bo
46bo73b3o65bo107bo80b2o$303bo52b2o29bo188bobo25bo78b3o14b2o35bo64bo
189bobo$304b2o49b2o28b3o215bo81bo10b2ob2o35bo255bo$22bo280b2o84bo250b
3o41bo10bobo3bo$22bobo252bo32bo50bo27bobo248bo56bo39b3o$22b2o253bobo
29bo49b2o21bo6b2o227bo9b3o10bo95bo$117bo159b2o17bobo10b3o44bo3b2o18bob
o234b3o7bo2bo107bo$118bo156bo21b2o58b2o22b2o233b2obo10bo$116b3o154bobo
21bo5b2o51b2o258b3o11bo$9bobo108bo153b2o26bo2bo310b3o8bobo$9b2o108bo
183b2o21b2o23b2o8bo26b2o29b2ob2o29b2ob2o159b2o$10bo35b2o30b2o39b3o6b2o
40b2o26b2o51b2o26b2o26b2o4b3o10bobo22bobo7bobo24bobo28b2obobo28b2obobo
$45bo2bo28bo2bo46bo2bo38bo2bo24bo2bo49bo2bo24bo2bo24bo2bo3bo14bo2bo3bo
17bo2bo4b2o27bo33bo33bo$2b3o9bo29bob3o27bob3o45bob3o37bob3o23bob3o38bo
3bo5bob3o23bob3o23bob3o4bo12bob3o3bobo14bob3o32bob2o30bob2o30bob2o$4bo
8b2o28bobo29bobo39bobo5bobo39bobo25bobo39bobob2o5bobo22b2obobo22b2obob
o16b2obobo6b2o11b2obobo31b2obobo2bo25b2obobo2bo25b2obobo2bo$3bo9bobo
27bo2bo28bo2bo3bo35b2o5bo2bo38bo2bo24bo2bo39b2o2b2o4bo2bo21b2obo2bo21b
2obo2bo15b2obo2bo18b2obo2bo30b2obo2bobo25b2obo2bobo25b2obo2bobo$44b2o
30b2o4bobo33bo7b2o3b2o35b2obo24b2obo49b2obo24b2obo24b2obo18b2obo4bo16b
2obo3b2o28b2obo30b2obo30b2obo$48bo33b2o30bo16b2o37bo27bo52bo27bo27bo
21bo4b2o18bo3bo2bo29bo33bo33bo$47bo28b2o7b2o28b2o9b2o40b2o26b2o51b2o
26b2o26b2o20b2o5bobo15b2o4bo2bo27b2o32b2o32b2o$47b3o25bobo7bobo22b2o2b
2o9bobo36bo2bo28bo52bo27bo27bo21bo24bo6b2o28bo27bo5bo32bo$17b2o2b2o19b
3o31bo8bo23bobo8b2o4bo37b4o8bo21bo51bo27bo27bo21bo24bo36bo27b2o4bo32b
2o7bo$16bobob2o22bo66bo8bobo11bo24b2o14bo16bo4b2o50b2o26b2o26b2o20b2o
23b2o35b2o26b2o3bobo33bo5b2o$18bo3bo20bo2b2o20b3o51bo10b2o25b2o2b2o9b
3o15bo2bo5b2o177bo13bo25bobo25bo7bo7b2o$46bobo21bo51b2o9bobo23bo4b2o5b
3o17b3o3b2o2b2o153b2o24bo2b2o6b2o22b2o3bo24bobo7b2o$46bo22bo57b2o42bo
26bo4bo151bobo22b3o3b2o6b2o22b2o5bobo20b2o$3o11b3o56b2o30b2o19bobo43bo
24bo159bo18b3o6bo31bo7b2o$2bo13bo52bo2b2o30bobo8b3o10bo3bo20b2o33b3o6b
2o179bo14bo32bo23b3o$bo13bo53b2o3bo31bo10bo13b2o4bo16b2o34bo186bo4b2o
8b2o58bo$68bobo45bo14bobo2b2o15bo12b2o21bo9bo181bobo2b2o4bobo32b2o22bo
334bo$123b2o11bobo28b2o30b2o20b3o159bob2o39bobo356bo$123bobo40bo31bobo
22bo163bo40bo302bo53b3o$74b2o47bo7b2o40b2o15b3o29bo238b3o266bo50bo$74b
obo54bobo38b2o18bo268bo268b3o39bo9bo$74bo43b2o11bo42bo16bo270bo265bo
44bo6b3o$117bobo47b2o560bo41b3o$119bo48b2o557b3o47b2o$167bo594b2o5bo7b
2o5bobo180bo$761b4o2bobo14b2o181bobo$761b2ob2o2b2o15bo181b2o$763b2o$
484b2ob2o6bo19b2ob2o27b2ob2o27b2ob2o35b2ob2o31b2ob2o31b2ob2o29b2ob2o
44b2ob2o39b2o24b2o21b2o29b2o29b2o28b2o9bo24b2o$484b2obobo3bobo3bo15b2o
bobo26b2obobo26b2obobo12bo21b2obobo30b2obobo30b2obobo28b2obobo36bobo4b
2obobo38b2o24b2o21b2o29b2o29b2o28b2o9bobo22b2o$489bo4b2o2bo21bo31bo9bo
bo19bo13b2o24bo35bo35bo33bo37b2o9bo190b2o$488bob2o6b3o18bob2o28bob2o7b
2o19bob2o10b2o24bob2o32bob2o32bob2o30bob2o35bo9bob2o34b4o22b4o19b4o6bo
bo18b4o27b4o8bo17b4o3b2o27b4o$484b2obobo2bo22b2obobo2bob2o20b2obobo2bo
b2o4bo15b2obobo2bob2o28b2obobo2bob2o6bo17b2obobo2bob2o24b2obobo2bob2o
22b2obobo2bob2o37b2obobo2bob2o26b2obo4bob2o14b2obo4bob2o11b2obo4bob2o
2b2o2b3o10b2obo4bob2o19b2obo4bob2o2b2o14b2obo4bobobo10bo12b2obo4bo$
484b2obo2bobo3b2o17b2obo2bobobobo19b2obo2bobobobo19b2obo2bobobo7bo21b
2obo2bobobo6bo18b2obo2bobobo25b2obo2bobobo23b2obo2bobobo31bo6b2obo2bob
obo27b2obobo2bob2o14b2obobo2bob2o11b2obobo2bob2o3bo2bo12b2obobo2bobobo
18b2obobo2bobobo2b2o13b2obobo2bobo11bo13b2obobo2bo$488b2obo4bobo20b2ob
o3bo24b2obo2bobo2b2o19b2obo2bo6b2o25b2obo2bo6b3o20b2obo2bo29b2obo2bo
27b2obo2bo32bo9b2obo2bo30bobo2bo20bobo2bo17bobo2bo10bo14bobo2bo2bo22bo
bo2bobobo6bo13bobo2bobo11b3o14bobo2bob2o$490bo5bo24bo31bo3b2o2b2o22bo
3bobo4bobo26bo3bobo29bo3bobo29bo3bobo27bo3bobo28b3o11bo3bobo28bo2bobo
20bo2bobo17bo2bobo5b2o18bo2bobo25bo2bobob2o6b2o13bo2bobobobo4bo21bo2bo
bob2o$488b2o29b2o30b2o10bo19b2o5b2o31b2o5bobo6b2o18b2o5bobo26b2o5bobo
24b2o5bobo39b2o5bobo28b4o22b4o19b4o5b2o20b4o27b4o10bobo13b4o3b2o4bobo
2bo17b4o$487bo30bo11bo19bo31bo39bo8bobo5bobo16bo8bobo24bo8bobo22bo8bob
o37bo8bobo87bo30bo62b2o2b2o$488b2o29b2o8b2o20b2o30b2o11bo26b2o7bobo4bo
19b2o7bobo2b3o19b2o7bobo22b2o7bobo30b2o5b2o7bobo5bo18b4o22b4o21b2o29b
2o8b2o19b2o28b2o15bobo16b2o$489bo30bo8bobo20bo31bo10b2o27bo8b2o25bo8bo
3bo22bo8bobo2b3o17bo8bobo28bobo6bo8bobo3bo19bo2bo21bo4bo3bo16b2o29b2o
8bobo18b2o28b2o34b2o$486b3o28b3o29b3o29b3o11bobo23b3o33b3o14bo18b3o10b
o3bo16b3o10bobo2b3o24bo3b3o10bobo2b3o42b2o2b2o2bo$486bo30bo8b3o20bo31b
o39bo35bo14bo20bo17bo15bo13bo3bo30bo13bobo25b3o26b3o53b3o$528bo143b2o
35bo36bo33bo10bo26bo86bo$527bo143bobo35b2o33bo35b2o5bo26b2o3bo19b3o2b
3o57bo$708bobo33b2o24b2o7bobo4b2o4bo20bobo23bo4bo$743bobo14bo10b2o13bo
bo2b2o22bo24bo4bo$760b2o8bo20bobo24b3o$759bobo19bo36bo16b3o$780b3o36bo
17bo$772b3o4b2obo53bo$771bo2bo4b3o5b2o$774bo5b2o4b2o$770bo3bo13bo$774b
o$771bobo2$789b3o$789bo$790bo!

First step may be reduced:
x = 34, y = 17, rule = B3/S23
31b2o$30bo2bo$2bobo24bob3o$2b2o24bobo$3bo24bo2bo$29b2o2$b2o10bo$obo8b
2o$2bo9b2o4$2b3o$4bo6b3o$3bo7bo$12bo!


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Re: Synthesising Oscillators

Postby gmc_nxtman » April 23rd, 2016, 11:59 am

BlinkerSpawn wrote:
gmc_nxtman wrote:Is there any cornershooting dot spark inserter that can insert a spark in either of the red locations?

x = 19, y = 11, rule = LifeHistory
19B$18B$.16B$4.12B$4.13B$7.10B$9.7B$9.7B$10.4B2$8.D6.D!

Where's the rest of the reaction? What's going on around the spark insertion site determines what does and doesn't work.


Sorry, the reaction is this:

x = 7, y = 9, rule = LifeHistory
3.2A$2.4A2$A$2.2A.A$.A2.2A$.2A$3.2A.A$3.A.2A!


The corresponding 3-glider block inserter would normally interfere with most dot spark inserters.
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Re: Synthesising Oscillators

Postby BlinkerSpawn » April 23rd, 2016, 3:56 pm

gmc_nxtman wrote:
x = 7, y = 9, rule = LifeHistory
3.2A$2.4A2$A$2.2A.A$.A2.2A$.2A$3.2A.A$3.A.2A!


The corresponding 3-glider block inserter would normally interfere with most dot spark inserters.

Your best course of action would probably be to do this
x = 10, y = 11, rule = LifeHistory
A.A4.A.A$A.A4.A.A$A.A.2A.A.A$4.2A2$A$A2.2A.A$2.A2.2A$3.A$4.3A$6.A!

followed by the appropriate converter.
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Re: Synthesising Oscillators

Postby Extrementhusiast » April 23rd, 2016, 3:57 pm

gmc_nxtman wrote:
BlinkerSpawn wrote:
gmc_nxtman wrote:Is there any cornershooting dot spark inserter that can insert a spark in either of the red locations?

(RLE)

Where's the rest of the reaction? What's going on around the spark insertion site determines what does and doesn't work.


Sorry, the reaction is this:

(RLE)


The corresponding 3-glider block inserter would normally interfere with most dot spark inserters.


Here are four solutions:
x = 48, y = 115, rule = B3/S23
10bobo7bo$11b2o5b2o$11bo7b2o24bo$44bobo$9b2o33b2o$10b2o$9bo5b2obo23b3o
bo$14bo2b2o22bo3b2o$14b2o26b2o$16b2obo24b2obo$16bob2o24bob2o16$22bo$
20b2o$21b2o2$15bo8bo$13bobo7bo$5bobo6b2o7b3o$6b2o$6bo14bo$12bo6b2o$12b
obo5b2o$12b2o$9bo$10b2o$9b2o33b2o$44b2o2$15b2obo23b3obo$14bo2b2o22bo3b
2o$14b2o26b2o$16b2obo24b2obo$16bob2o24bob2o11$19bobo$19b2o$20bo$16bo$
17bo4bo$15b3o4bobo$2bo19b2o$obo$b2o15bobo$18b2o$19bo$6bobo$7b2o35b2o$
7bo36b2o2$15b2obo23b3obo$14bo2b2o22bo3b2o$2bobo9b2o26b2o$3b2o2b2o7b2ob
o24b2obo$3bo2bobo7bob2o24bob2o$8bo12$19bobo$19b2o$20bo$16bo$17bo4bo$
15b3o4bobo$22b2o2$18bobo$18b2o$19bo2$44b2o$3bo40b2o$4bo$2b3o10b2obo23b
3obo$11b2obo2b2o22bo3b2o$5bo5b2ob2o26b2o$5b2o9b2obo24b2obo$4bobo9bob2o
24bob2o3$7b3o$9bo$8bo!

One must never forget about alternate predecessors. (Also, the three-glider block inserter doesn't work here to begin with; that one only works if there is absolutely no extra overhang on the inducting surface at the start of the reaction.)
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Re: Synthesising Oscillators

Postby David » April 29th, 2016, 4:30 am

Can someone make a systhesis of this p4?
x = 11, y = 11, rule = B3/S23
4b2o$6bo$2bobob3o$5bo3bo$obo4b2obo$o2bo2bo2bo$b2o2bob2o$2bobobo$2bobob
o$3bobo$4bo!
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Re: Synthesising Oscillators

Postby BobShemyakin » May 17th, 2016, 3:10 pm

Found the 9th oscillator, synthesized 5G:
x = 61, y = 19, rule = B3/S23
2bo$obo$b2o$14bo$12b2o$13b2o3$54b2obo$53bobob3o$bo51bo6bo$2b2o50b5obo$
b2o56bo$56bo$56b2o$b2o$2b2o5b2o$bo6b2o$10bo!

Cite other known 5G oscillators:
x = 161, y = 106, rule = B3/S23
31b2o37bo52bo$12bo3b2o14bo38bo8bo40bobo$13b2obobo10bobo37b3o7bo42b2o$
12b2o2bo11bo50b3o$28b2o65b2o$95bobo$12b3o$14bo82bobo28bo$13bo115b2o$
71b2o26bobo26b2o$70bobo6b3o18b2o$72bo6bo$21b2o57bo45b3o$20b2o106bo$bo
20bo54b2o48bo$b2o73bobo57bo19b2o$obo75bo57bobo16bo2bo$136b2o18bobo$
153bo2bob2o$140b2o10bob2o$140bobo9bo$140bo12b3o$155bo18$8bobo21bo20bo$
9b2o21bobo19bo$9bo20bo4bo16b3o$30b6o$60bo17bo$30b2o2b2o23b2o16bo$10bo
19b2o2b2o23bobo15b3o13b2o4b2o$8bobo2bo79bobo2bobo$9b2o2bobo41b2o36bo2b
o$13b2o41bobo34bobo2bobo$58bo34b2o4b2o$73b3o15b2o$73bo16bobo$2b2o70bo
16bo$bobo$3bo6$15b2o$15bobo$15bo17$6bo118bo$7bo118b2o$5b3o117b2o3$25bo
49bo$24bobo49b2o55bo21b2o$66bo8b2o6bo50bo16b2obo2bob2o$23b2o3bo38b2o
14bobo12b2o32b3o16bo4bo2b2o$23bo5bo36b2o4bo10b2o12bo2bo35bo18bo$26bobo
41bobo22bo2bobo35b2o14bobo$6bo18b2o44b2o26bo35bobo$6b2o9b2o49bo26bob2o
$5bobo9bobo48b2o26bo$17bo49bobo$10bo$9b2o$bo7bobo$b2o139bo$obo138b2o$
141bobo3$147bo$146b2o$146bobo!

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Re: Synthesising Oscillators

Postby mniemiec » May 18th, 2016, 4:40 am

26-glider synthesis of the last remaining non-trivial 21-bit P2 pseudo-oscillator. This uses a slightly modified version of the method Extrmenthusiast used to synthesize several of the others, but which wouldn't quite work in this case. The modified method wouldn't work near a snake either, but it does work if the snake is completed later:
x = 130, y = 56, rule = B3/S23
5bobo$6boo$6bo50bo$58boo$57boo$30boo18boo18boo18boo28boo$31bo19bo8bo
10bo19bo29bo$12bo18boboo16boboo5bobo8bobooboo13bobooboo23bobooboo$11bo
20bobo17bobo5boo10bobobo15bobobo25bobobo$11b3o43bo21bo19bo29bo$57boo
19boo18boo28boo$13bo42bobo6bo24bo33boo$12boo51bobo23boo30bobo$12bobo
46boobboo23boo32bo$6boo52boo33boo$7boo48bo4bo31bobobo$6bo50boo37bobobo
$56bobo39boo14$102bobo$17bobo77bo4boo$17boo79bo4bo$18bo77b3o$oo28boo
18boo18boo20boo6boo$bo29bo19bo19bo21boo6bo$bobooboo23bobooboo13boboob
oo13bobooboo14bo4boobbobooboo13bobooboo$bbobobo11boo12bobobo15bobobo
15bobobo19bobo3bobobo14boobobo$9bo8bobo18bo19bo19bo18bo10bo19bo$8boo8b
o19boo18boo18boo28boo18boo$4boo8b3o17boo18boo18boo28boo18boo$3bobo10bo
16bobobboo8b3obbobobboo15bobboo25bobboo15bobboo$4bo10bo18bo3boo10bo3bo
3boo15bobobo25bobobo15bobobo$49bo26bo29bo19bo$$12b3o$12bo35boo8boo$13b
o35boo6boo$48bo10bo$54b3o$56bo$55bo$58boo$57boo$59bo!
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Re: Synthesising Oscillators

Postby chris_c » May 31st, 2016, 11:29 am

Kok's Galaxy in 11 gliders by trying to imitate the C2 soups on Catagolue:

x = 57, y = 43, rule = Life
48bo$47bo$47b3o$22bo$23b2o$22b2o6$6bo$4bobo$5b2o$32bo$2bo27b2o$obo28b
2o$b2o25bo$23bo2bobo$23b2o2b2o$22bobo5$54b2o$54bobo$54bo2$50b2o$50bobo
$50bo6$33b2o$32b2o$34bo$7b3o$9bo$8bo!
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