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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 mniemiec » February 14th, 2018, 6:52 am

Extrementhusiast wrote:The last 16-bit P2 in about the least likely way imaginable (in two slight variants): ...
The corresponding 17-bit P2 can be made the same way far more cheaply: ...

Very nice! The second converter improves one 16-bit P2 from 24 to 21 gliders.
It solves 3 previously unknown 17s from 17, 27, and 31 gliders respectively.
(It also solves 2 18s, 9 19s, 7 20s, and 15 21s.)
x = 188, y = 31, rule = B3/S23
14bo99bo49bo$3bo10bobo86bo10bobo36bo10bobo$4bo9boo88bo9boo38bo9boo$bb
3o44boo51b3o47b3o$50boo$16bo32bo3bobo60bo49bo$16bobo34boo61bobo47bobo$
16boo36bo61boo48boo4$16bo99bo32boo15bo12boo$oo3boo7boo14boo3bo30bo12b
oo5bo18boo7boo19bo13bobo3boo7boo13bobo3bo$o5bo8boo13bo4bo30bo12bo6bo
19bo8boo18bo20bo8boo18bo$bobobo25bobobbo23b3obobbo12bobobobbo11b3obobo
23b3obobbo14bobobo25bobobbo$$3ob3o23b3obobo24bobobobo12bobbobobo12bobo
b3o23bobobobo13b3ob3o23b3obobo$37bo12boo8bo5boo13bo4boo11bo29bo7bo49bo
$36boo13boo7boo19bo17boo28boo5boo48boo$50bo4$12bo36boo61bo49bo$12boo
34bobo61boo48boo$11bobo3bo32bo60bobo3bo43bobo3bo$15boo98boo48boo$16boo
44b3o51boo48boo$51boo9bo$50bobo10bo$52bo!

The first converter can make one unknown 17-bit P2 into two others, similar for 18s, and solves one 18.
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Re: Synthesising Oscillators

Postby Goldtiger997 » February 15th, 2018, 5:04 am

Extrementhusiast wrote:The last 16-bit P2 in about the least likely way imaginable (in two slight variants): ...

Great work Extrementhusiast!

chris_c wrote:
Goldtiger997 wrote:I think If the final 16-bit oscillator is completed I will add the 16-bit oscillators into the collection as well.

I will try to put them into my glider synthesis database if that happens.


As I said I would before, I will create a collection of the cheapest 16-bit oscillator synthesis (separate to the rest because there is a lot). Most of these I can easily find from mniemiec's website (though some are outdated which I will attend to later), but I may need some help finding all the ones that are marked as unsolved.
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Re: Synthesising Oscillators

Postby mattiward » February 16th, 2018, 1:38 pm

Burloaferimeter from 23 gliders:
x = 221, y = 28, rule = B3/S23
160bo$160bobo26bo$160b2o26bo$158bo29b3o$36bo119bobo$36bobo118b2o24bo$
32bo3b2o146bo4bo$33b2o29b2o28b2o5bobo55bo22b3o3bo$32b2o29bobo23bo3bobo
5b2o54b2o29b3o$obo60bo26bo2bo8bo27bobo25b2o$b2o59b2o24b3ob2o36b2o54b2o
4bo4bo17b2o$bo129bo53bobo4bobo2bobo15b2o$7bobo115bo29bo29bo6b2o3b2o$7b
2o51bo62b3o6b2o19b3o3b2o22b3o3b2o22b4o$8bo52b2o29bo29bo9bobo17bo7bo21b
o7bo21bo4bob2o$37b2o21b2o5b2o22bobo3b2o22bobo3b2o3bo18bobo3b3o21bobo3b
3o21bobo3bob2o$37bo29bo24bo4bo24bo4bo24bo4bo24bo4bo5b2o17bo2bobo$5bo
28b2obo26b2obo25b3obo25b3obo25b3obo25b3obo5bobo17b3obo$4bo29bobo23bo3b
obo29bo29bo29bo29bo6bo22bo$4b3o28bo24b2o3bo29bo29bo29bo29bo29bo$59bobo
33b2o28b2o28b2o28b2o28b2o$2b3o62bobo$4bo62b2o$3bo64bo2$69b2o$68bobo$
70bo!
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Re: Synthesising Oscillators

Postby mattiward » February 17th, 2018, 3:48 am

Is there any way of synthesizing this?
x = 27, y = 27, rule = LifeHistory
21.2A$21.2A2.2A$19.2A.A2.2A$19.3A3$20.2A$20.2A2$12.E$10.2E$8.E.E7.E$
6.3E7.3E$6.E7.E.E$13.2E$12.E4$2.2A$2.2A2.2A$2A.A2.2A$3A3$.2A$.2A!
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Re: Synthesising Oscillators

Postby mniemiec » February 17th, 2018, 5:14 am

mattiward wrote:Is there any way of synthesizing this? ...

This seems like the most likely phase for synthesis. None of the bakery predecessors I know are suitable, but it's possible that someone else might have one.
x = 27, y = 27, rule = B3/S23
boo$boo$$bo$obo$obbobboo$4boboo$bboo$11b3o$10bobboboo$9bo3bo$9bobbo$
10boo4$13boo$12bobbo$11bo3bo$8boobobbo5boo$11b3o6boo$$20bo$19bobo$19bo
bbobboo$23boboo$21boo!
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Re: Synthesising Oscillators

Postby BlinkerSpawn » February 17th, 2018, 11:52 am

mniemiec wrote:
mattiward wrote:Is there any way of synthesizing this? ...

This seems like the most likely phase for synthesis. None of the bakery predecessors I know are suitable, but it's possible that someone else might have one.
x = 27, y = 27, rule = B3/S23
boo$boo$$bo$obo$obbobboo$4boboo$bboo$11b3o$10bobboboo$9bo3bo$9bobbo$
10boo4$13boo$12bobbo$11bo3bo$8boobobbo5boo$11b3o6boo$$20bo$19bobo$19bo
bbobboo$23boboo$21boo!

What about something like this?
x = 71, y = 28, rule = Life
66bo2bo$21b2o43bo$21b2o2b2o38bo4bo$19b2obo2b2o37bobo2b2o$19b3o40b2obo
2$10bo41bo$9bobo8b2o31bob2o5bo2bo$9bobo8b2o29bobobobo6b2o$8b2obob2o38b
obob2o$12bo2bo36bo3bo2bo$13b2o42b2o$34bo$35bo$32b5o$10b2o23bo18b2o$9bo
2bo21bo18bo2bo3bo$10b2obob2o37b2obobo$13bobo39bobobobo$13bobo31bo2bo5b
2obo$2b2o10bo32bo12bo$2b2o2b2o38bo4bo$2obo2b2o37bobo2b2o$3o40b2obo3$b
2o40bo2bo$b2o42b2o!
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Re: Synthesising Oscillators

Postby A for awesome » February 17th, 2018, 12:06 pm

Final step:
x = 35, y = 41, rule = B3/S23
31bo$30bo$30b3o3$13bo14bo$6b2o3bobo14bobo$5bo2bo3b2o14b2o$5bo$5bo$5bob
o3bo$6bobo3bo$7bo4bo$8b4o18bo$29bo$20b2o7b3o$20bo3bo$14bo6b4o7b2o$13bo
bo16bobo$13bobo5b4o7bo$10bo3bo5bo3bo$2bo7b4o5bobo$obo16bobo$b2o7b4o6bo
$10bo3bo$3b3o7b2o10b2o$5bo18bo2bo$4bo19bo$24bo$24bobo3bo$25bobo3bo$26b
o4bo$27b4o$5b2o14b2o$4bobo14bobo$6bo14bo3$2b3o$4bo$3bo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: Synthesising Oscillators

Postby mattiward » February 17th, 2018, 7:45 pm

44P12.2 from 79 gliders:
x = 515, y = 249, rule = B3/S23
339bobo$339b2o$179bo160bo$180bo$178b3o10bobo$192b2o$192bo$343bo$342bo$
175bo152bo13b3o$176bo150bo$174b3o150b3o2$334bo13bo$334bobo11bobo$334b
2o12b2o$357bo$355b2o$356b2o3$174bo$175b2o$174b2o7$204bo$205b2o102bo$
204b2o103bobo$309b2o2$306bo$194bo111bobo$192bobo111b2o$193b2o2$190bo$
191b2o134bo$190b2o134bo$326b3o4$328bobo$328b2o$329bo$314bo$312b2o$313b
2o10$291bobo$291b2o$292bo$251bo$249bobo25bobo25bo$250b2o25b2o26bobo$
278bo26b2o2$270bobo$249bo20b2o30bo$250b2o19bo24bo4bo$249b2o44bo5b3o$
292bo2b3o$280bo9b2o$278b2o11b2o$279b2o2$236bo4bobo30bo$237bo4b2o25bo3b
o$235b3o4bo24b2o4b3o$253bo5bo8b2o$251bobo3b2o28bo$252b2o4b2o25b2o$286b
2o$258bo$258b2o$257bobo6$277b2o$270bo5b2o$269b2o7bo$261b2o6bobo$260bob
o$262bo$240b2o$241b2o$240bo$250b2o$249bobo$251bo$265bo$236b2o26b2o15b
2o$237b2o7bo17bobo14bobo$236bo9b2o33bo7bo$245bobo40b2o$277b3o8bobo$
277bo$278bo2$254bo$254b2o$253bobo$280b2o$279b2o$245bo35bo$232b2o11b2o
50b3o$233b2o9bobo50bo$232bo65bo2$243b2o$242bobo69b3o$244bo46b2o21bo$
291bobo21bo$291bo$312b2o$242b2o67b2o$241bobo69bo$243bo4$236b3o$198bo
39bo$198b2o37bo$197bobo$301bo9b2o$221bo78b2o9bobo$221b2o77bobo8bo$199b
3o18bobo73b2o$201bo94bobo37b2o$200bo95bo38b2o$337bo2$333b2o$220b2o111b
obo$219bobo111bo$221bo2$217b2o$216bobo103b2o$218bo102b2o$323bo7$352b2o
$351b2o$353bo3$170b2o$171b2o$170bo$178b2o12b2o$177bobo11bobo$179bo13bo
2$198b3o150b3o$200bo150bo$183b3o13bo152bo$185bo$184bo$335bo$334b2o$
334bobo10b3o$347bo$187bo160bo$187b2o$186bobo18$466bo$98bo315bo50bo$99b
o9bo302b2o51b3o$97b3o7b2o304b2o35bo$108b2o341b2o11bo$419bobo28b2o13bo$
102bo316b2o42b3o$100b2o318bo$18bo77bobo2b2o261bo105bo$16b2o79b2o266bo
3bo38b2o11b2o45b2o$2bo5bo8b2o78bo265b3ob2o38bo2bo10bobo22bo10b2o10b2o$
obo3b2o360b2o37bo2bo10bo25b2o8bo$b2o4b2o100bobo81bo214b2o36b2o10bo$58b
o50b2o48bo33bobo223bo39bo$7bo48b2o52bo30b2o15bo27b2o5b2o36b2o38b2o13bo
bo25b2o10b2o43b2o38b2o5b2o40bo13bobo$7b2o48b2o30bo51bo3b2o11b3o25bo3b
2o39bo39bo14b2o25bobo3bo6bo44bo39bo6bobo40bo12b2o31b2o$6bobo51b2o22bo
5b2o50bo2b2o40bo2b2o40bo39bo14bo27bob2o8bo44bo39bo49bo12bo29b2o2bo$52b
o7bobo19bobo4b2o11b2o37b2o43b2o43b2o38b2o45b2o6b2o43b2o38b2o48b2o19bo
22b5o$51bobo6bo22b2o16bo2bo35bo44bo44bo39bo17b2o35bo37b2o5bo32b2o5bo
42b2o5bo21bobo24bo$51b2o35bo12b4o34bob4o39bob4o39bob4o34bob4o13bobo25b
o7bob4o33bobo3bob4o28bobo3bob4o38bobo3bob4o13b2o2b2o18b2o2b4o$49b2o37b
2o9b2o34b2obobo4bo34b2obobo4bo34b2obobo4bo29b2obobo4bo12bo27b2o2b2obob
o4bo35bobobo4bo30bobobo4bo40bobobo4bo12bobo21b2obo4b4o$48bobob3o32bobo
8bobob3o30bob2obob2obo34bob2obob2obo34bob2obob2obo29bob2obob2obo39bobo
2bob2obob2obo36b2obob2obo31b2obob2obo41b2obob2obo12bo22bobobob2obobobo
$49bo2bo2bo42bobobo2bo34bob2obob2o5bo30bob2obob2o9bobo24bob2obob2o31bo
b2obob2o7bo38bob2obob2obo2bobo29bob2obob2o31bob2obob2o28bo12bob2obob2o
32bobobob2obobobo$19bo32bo2bo43b2obo2bo34bo4bobobo3bo31bo4bobo4bobo3b
2o25bo4bobobo30bo4bobobo5b2o38bo4bobob2o2b2o30bo4bobobo30bo4bobobo25bo
bo12bo4bobobo32b4o4bob2o$18b2o33b2o48b2o31b2o3b4o3bo4b3o25b2o3b4o2bo4b
2o5bo26b4o2bobo31b4o2bobo5bobo38b4obo7bo31b4obo3bobo28b4obo3bobo19b2o
2b2o13b4obo3bobo33b4o2b2o$10b2o6bobo24bo90b2o43b2o9b2o4bo38b2o38b2o51b
o44bo5b2o32bo5b2o18bobo21bo5b2o33bo$9bobo33b2o37bo58b2o11b2o30b4o8bo
32b4o36b4o51b2o6b2o35b2o38b2o28bo19b2o41b5o$11bo32bobo37b2o25b3o29bobo
10bobo19b3o7bo2bo7b2o32bo2bo4bo31bo2bo3bo47bo8b2obo32bo39bo36bo12bo42b
o2b2o$83bobo7b2o16bo32bo11bo23bo18bobo32b2o4bo33b2o3bobo47bo6bo3bobo
31bo30bobo6bo35b2o12bo42b2o$47b3o44b2o16bo66bo60b3o35bo2bo46b2o10b2o
31b2o31b2o5b2o34bobo13bo$47bo45bo14b2o169b2o125bo59bo$48bo59bobo78b2o
48b2o175b2o49bo10b2o$108bo35b2o44b2o46bobo135b2o26bo10bo2bo49bo8b2o$
143bobo43bo3b2o45bo136b2ob3o19bobo10bo2bo36b2o10b2o10bo$145bo46b2o80b
2o8b3o89bo3bo22b2o11b2o38b2o$147b3o44bo70b2o6b2o9bo96bo73bo$147bo118b
2o7bo9bo119bo$135b2o11bo39b2o75bo3b3o133b2o53b3o$134bobo52b2o78bo134bo
bo53bo13b2o$136bo51bo81bo190bo11b2o$411b2o62bo$412b2o44b3o$411bo48bo$
459bo!
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Re: Synthesising Oscillators

Postby mattiward » February 17th, 2018, 11:46 pm

A for awesome wrote:Final step:
x = 35, y = 41, rule = B3/S23
31bo$30bo$30b3o3$13bo14bo$6b2o3bobo14bobo$5bo2bo3b2o14b2o$5bo$5bo$5bob
o3bo$6bobo3bo$7bo4bo$8b4o18bo$29bo$20b2o7b3o$20bo3bo$14bo6b4o7b2o$13bo
bo16bobo$13bobo5b4o7bo$10bo3bo5bo3bo$2bo7b4o5bobo$obo16bobo$b2o7b4o6bo
$10bo3bo$3b3o7b2o10b2o$5bo18bo2bo$4bo19bo$24bo$24bobo3bo$25bobo3bo$26b
o4bo$27b4o$5b2o14b2o$4bobo14bobo$6bo14bo3$2b3o$4bo$3bo!

I would like to have the full synthesis for the oscillator, not just the final step.
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Re: Synthesising Oscillators

Postby mniemiec » February 18th, 2018, 12:26 am

mattiward wrote:I would like to have the full synthesis for the oscillator, not just the final step.

I will attempt to put one together later tonight when I get home, time permitting. Is there some reason you urgently need this particular synthesis?

EDIT: 52p84 in 55 gliders:
x = 174, y = 180, rule = B3/S23
71bo$66bo4bobo$64bobo4boo$65boobbo$68boo$68bobo25bo29bo6bo22bo$95bobo
27bobo6bo20bobo$38boo25boo28bobo27bobo4b3obbo17bobo5boo$35bo3bo22bo3bo
25bo3bo25bo3bo9bo15bo3bo5bobo$35b4o23b4o26b4o26b4o10b3o13b4o5bobo$8bo
152boo$3bobboo27b4o23b4o26b4o26b4o6bo7boo10b4o$4bobboo3b3o20bo3bo22bo
3bo25bo3bo25bo3bo5boo6bobo9bo3bo$bb3o7bo25boo25boo28boo28boo4bobo6bo
14boo$13bo3$bo$boo$obo5$73bo$74bo$72b3o$$75bobo$75boo64bobo$76bo4bo59b
oo$72bo6boo61bo$70bobo7boo$71boo$16bobo27bo29bo26bo29bo29boo$6bo9boo
18bo8bobo18bo8bobo18bo6b3o20bo6b3o20bo6boo$5bobo9bo17bobo8bo18bobo8bo
18bobo8bo18bobo8bo4bobo11bobo$5bobo5boo20bobo5b3o19bobo5b3o19bobo5b3o
19bobo5b3o5boo12bobo5b4o$bbo3bo5bobobboo13bo3bo5bo19bo3bo5bo19bo3bo5bo
19bo3bo5bo9bo9bo3bo5bo3bo$bb4o5bobobboo14b4o5bobo18b4o5bobo18b4o5bobo
18b4o5bobo18b4o5bobo$11boo5bo22bobo27bobo27bobo27bobo10bo16bobo$bb4o
26b4o6bo19b4o6bo19b4o6bo19b4o6bo11bobo5b4o6bo$bbo3bo25bo3bo25bo3bo25bo
3bo25bo3bo17boo6bo3bo$5boo28boo28boo28boo28boo28boo$143bo$142boo$142bo
bo6$132bo$133boo$132boo$13bo$13bobo121bo$13boo122bobo$81bo52bobboo$12b
o66bobo50bobo$13boobobo61boo51boo$12boobboo$17bo60boo$44bo29bo3bobo81b
oo$13boo28bobo27bobobbo24bobbo26bobbo25bo3bo$6bo6boo21bo6boo21bo6boo
21bo6b4o19bo6b4o19bo6b4o$5bobo27bobo27bobo27bobo27bobo27bobo$5bobo5b4o
18bobo5b4o18bobo5b4o18bobo5b4o18bobo5b4o18bobo5b4o$bbo3bo5bo3bo15bo3bo
5bo3bo15bo3bo5bo3bo15bo3bo5bo3bo15bo3bo5bo3bo15bo3bo5bo3bo$bb4o5bobo
18b4o5bobo18b4o5bobo18b4o5bobo18b4o5bobo18b4o5bobo$11bobo27bobo27bobo
27bobo27bobo27bobo$bb4o6bo19b4o6bo19b4o6bo19b4o6bo19b4o6bo19b4o6bo$bbo
3bo25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo$5boo28boo28boo28boo28boo28boo
16$111bo$110bo$110b3o$108bo$109bo$36bo70b3o38boo$35bo112boo$35b3o$33bo
$34bo113boo$32b3o38boo32bobo3boo32bobbobboo$73boo33boo3boo32bobbobboo$
108bo39boo$$42boo38boo23boo13boo38boo$42bo3bo35bo3bo19bobo13bo3bo35bo
3bo$36bo6b4o29bo6b4o21bo7bo6b4o29bo6b4o$35bobo37bobo37bobo37bobo$35bob
o5b4o28bobo5b4o28bobo5b4o28bobo5b4o$32bo3bo5bo3bo25bo3bo5bo3bo25bo3bo
5bo3bo25bo3bo5bo3bo$32b4o5bobo28b4o5bobo28b4o5bobo28b4o5bobo$41bobo37b
obo37bobo37bobo$32b4o6bo29b4o6bo29b4o6bo29b4o6bo$32bo3bo35bo3bo35bo3bo
35bo3bo$35boo38boo10boo26boo10boo26boo10boo$87boo38boo38boo$136bo$136b
obo$44b3o89boo29boo$44bo82boo4boo31bobbobboo$45bo76b3oboo5bobo30bobbo
bboo$41b3o80bo3bo4bo33boo$43bo79bo$42bo15$134bo$133bo$133b3o3$114bo16b
o$112bobo16bobo$28boo38boo38boo3boo16boo15boo$28boo36bobbo36bobbo36bo
bbo3$28boo36boobo36boobo36boobo$27bobbobboo33bobobboo33bobobboo33bobo
bboo$21bo5bobbobboo34bo4bo34bo4bo18bo15bo4bo$22bo5boo40bo39bo21bo17bo
7bo$20b3o47bobbo36bobbo18b3o15bobbo4bo$42boo38boo38boo35bo$42bo3bo35bo
3bo35bo3bo33bo$36bo6b4o29bo6b4o29bo6b4o28bo4bo$35bobo37bobo37bobo17boo
$22boo11bobo5b4o28bobo5b4o28bobo5b4o8bobo18bo3boo$21bobo8bo3bo5bo3bo
25bo3bo5bo3bo16bo8bo3bo5bo3bo8bo20bo5bo$23bo8b4o5bobo28b4o5bobo17bobo
8b4o5bobo33boo3bo$41bobo37bobo18boo17bobo$32b4o6bo29b4o6bo29b4o6bo35bo
4bo$32bo3bo35bo3bo35bo3bo41bo$35boo10boo26boo10boo26boo10boo30bo7boo$
47boo36bobbo15b3o18bobbo31bo4bobbo$106bo53bo$105bo$47boo36boobo36boobo
36boobo$46bobbobboo33bobobboo33bobobboo33bobobboo$46bobbobboo34bo4bo
34bo4bo34bo4bo$47boo40bo39bo39bo$89bobbo36bobbo36bobbo$106boo16boo$
105bobo16bobo$38b3o66bo16bo$40bo4boo$39bo5bobo$45bo57b3o$105bo$104bo!
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Re: Synthesising Oscillators

Postby mattiward » February 24th, 2018, 4:33 am

mniemiec wrote:
mattiward wrote:I would like to have the full synthesis for the oscillator, not just the final step.

I will attempt to put one together later tonight when I get home, time permitting. Is there some reason you urgently need this particular synthesis?

EDIT: 52p84 in 55 gliders:
x = 174, y = 180, rule = B3/S23
71bo$66bo4bobo$64bobo4boo$65boobbo$68boo$68bobo25bo29bo6bo22bo$95bobo
27bobo6bo20bobo$38boo25boo28bobo27bobo4b3obbo17bobo5boo$35bo3bo22bo3bo
25bo3bo25bo3bo9bo15bo3bo5bobo$35b4o23b4o26b4o26b4o10b3o13b4o5bobo$8bo
152boo$3bobboo27b4o23b4o26b4o26b4o6bo7boo10b4o$4bobboo3b3o20bo3bo22bo
3bo25bo3bo25bo3bo5boo6bobo9bo3bo$bb3o7bo25boo25boo28boo28boo4bobo6bo
14boo$13bo3$bo$boo$obo5$73bo$74bo$72b3o$$75bobo$75boo64bobo$76bo4bo59b
oo$72bo6boo61bo$70bobo7boo$71boo$16bobo27bo29bo26bo29bo29boo$6bo9boo
18bo8bobo18bo8bobo18bo6b3o20bo6b3o20bo6boo$5bobo9bo17bobo8bo18bobo8bo
18bobo8bo18bobo8bo4bobo11bobo$5bobo5boo20bobo5b3o19bobo5b3o19bobo5b3o
19bobo5b3o5boo12bobo5b4o$bbo3bo5bobobboo13bo3bo5bo19bo3bo5bo19bo3bo5bo
19bo3bo5bo9bo9bo3bo5bo3bo$bb4o5bobobboo14b4o5bobo18b4o5bobo18b4o5bobo
18b4o5bobo18b4o5bobo$11boo5bo22bobo27bobo27bobo27bobo10bo16bobo$bb4o
26b4o6bo19b4o6bo19b4o6bo19b4o6bo11bobo5b4o6bo$bbo3bo25bo3bo25bo3bo25bo
3bo25bo3bo17boo6bo3bo$5boo28boo28boo28boo28boo28boo$143bo$142boo$142bo
bo6$132bo$133boo$132boo$13bo$13bobo121bo$13boo122bobo$81bo52bobboo$12b
o66bobo50bobo$13boobobo61boo51boo$12boobboo$17bo60boo$44bo29bo3bobo81b
oo$13boo28bobo27bobobbo24bobbo26bobbo25bo3bo$6bo6boo21bo6boo21bo6boo
21bo6b4o19bo6b4o19bo6b4o$5bobo27bobo27bobo27bobo27bobo27bobo$5bobo5b4o
18bobo5b4o18bobo5b4o18bobo5b4o18bobo5b4o18bobo5b4o$bbo3bo5bo3bo15bo3bo
5bo3bo15bo3bo5bo3bo15bo3bo5bo3bo15bo3bo5bo3bo15bo3bo5bo3bo$bb4o5bobo
18b4o5bobo18b4o5bobo18b4o5bobo18b4o5bobo18b4o5bobo$11bobo27bobo27bobo
27bobo27bobo27bobo$bb4o6bo19b4o6bo19b4o6bo19b4o6bo19b4o6bo19b4o6bo$bbo
3bo25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo$5boo28boo28boo28boo28boo28boo
16$111bo$110bo$110b3o$108bo$109bo$36bo70b3o38boo$35bo112boo$35b3o$33bo
$34bo113boo$32b3o38boo32bobo3boo32bobbobboo$73boo33boo3boo32bobbobboo$
108bo39boo$$42boo38boo23boo13boo38boo$42bo3bo35bo3bo19bobo13bo3bo35bo
3bo$36bo6b4o29bo6b4o21bo7bo6b4o29bo6b4o$35bobo37bobo37bobo37bobo$35bob
o5b4o28bobo5b4o28bobo5b4o28bobo5b4o$32bo3bo5bo3bo25bo3bo5bo3bo25bo3bo
5bo3bo25bo3bo5bo3bo$32b4o5bobo28b4o5bobo28b4o5bobo28b4o5bobo$41bobo37b
obo37bobo37bobo$32b4o6bo29b4o6bo29b4o6bo29b4o6bo$32bo3bo35bo3bo35bo3bo
35bo3bo$35boo38boo10boo26boo10boo26boo10boo$87boo38boo38boo$136bo$136b
obo$44b3o89boo29boo$44bo82boo4boo31bobbobboo$45bo76b3oboo5bobo30bobbo
bboo$41b3o80bo3bo4bo33boo$43bo79bo$42bo15$134bo$133bo$133b3o3$114bo16b
o$112bobo16bobo$28boo38boo38boo3boo16boo15boo$28boo36bobbo36bobbo36bo
bbo3$28boo36boobo36boobo36boobo$27bobbobboo33bobobboo33bobobboo33bobo
bboo$21bo5bobbobboo34bo4bo34bo4bo18bo15bo4bo$22bo5boo40bo39bo21bo17bo
7bo$20b3o47bobbo36bobbo18b3o15bobbo4bo$42boo38boo38boo35bo$42bo3bo35bo
3bo35bo3bo33bo$36bo6b4o29bo6b4o29bo6b4o28bo4bo$35bobo37bobo37bobo17boo
$22boo11bobo5b4o28bobo5b4o28bobo5b4o8bobo18bo3boo$21bobo8bo3bo5bo3bo
25bo3bo5bo3bo16bo8bo3bo5bo3bo8bo20bo5bo$23bo8b4o5bobo28b4o5bobo17bobo
8b4o5bobo33boo3bo$41bobo37bobo18boo17bobo$32b4o6bo29b4o6bo29b4o6bo35bo
4bo$32bo3bo35bo3bo35bo3bo41bo$35boo10boo26boo10boo26boo10boo30bo7boo$
47boo36bobbo15b3o18bobbo31bo4bobbo$106bo53bo$105bo$47boo36boobo36boobo
36boobo$46bobbobboo33bobobboo33bobobboo33bobobboo$46bobbobboo34bo4bo
34bo4bo34bo4bo$47boo40bo39bo39bo$89bobbo36bobbo36bobbo$106boo16boo$
105bobo16bobo$38b3o66bo16bo$40bo4boo$39bo5bobo$45bo57b3o$105bo$104bo!


51 gliders:
x = 575, y = 241, rule = B3/S23
379bobo$379b2o$380bo3$217bo160bo$215bobo160bobo$216b2o160b2o6$380bo$
379bo$379b3o4$238bobo$239b2o$206bo32bo$204bobo154bo$205b2o153bo$240bo
119b3o$241bo$239b3o3$251bo$252b2o$251b2o3$344bo$344bobo$344b2o2$251bo$
252b2o93bobo$251b2o94b2o$259bo88bo$260b2o$259b2o86bo$339bo6bo$338bo7b
3o$338b3o21bo$343bo17bo$228bobo26bobo83bobo15b3o$229b2o27b2o83b2o$229b
o28bo81bo6bo$339bo6bo$339b3o4b3o3$349bobo$349b2o$350bo3$303bobo$303b2o
$304bo$257bobo$253bo4b2o$251bobo4bo$252b2o3$276bo$277b2o$276b2o46bo$
322b2o$308bo14b2o$279bo28bobo$277bobo28b2o$278b2o10$282bobo$283b2o$
283bo3$295bo$284b3o7bo$286bo2b2o3b3o$285bo2b2o$290bo5$306bo$305b2o$
305bobo14$250bo$250b2o75bo$249bobo23b3o48b2o$277bo48bobo$276bo2$304bo$
303b2o$303bobo$244bo$244b2o$243bobo4$340b2o$340bobo$340bo7$347b3o$347b
o9b2o$348bo7b2o$358bo20$382b2o$358b3o21bobo$358bo23bo$359bo2$356b2o$
356bobo$235bo120bo$207b3o25b2o$209bo24bobo$208bo3$226bo$226b2o$225bobo
$209b2o160b2o$208bobo160bobo$210bo160bo3$208bo$208b2o$207bobo11$431bo$
430bo$430b3o4$422bo$421bo$421b3o$417bobo$418b2o$374bo43bo47bo18bo$375b
o39bo11b3o37b2o14b2o$373b3o38bobo10bo38b2o16b2o42bo$414bobo11bo98bo$
370b3o42bo46b2o48b2o13b3o22b2o$12bobo357bo85b2o2b2o44b2o2b2o34b2o2b2o$
12b2o213bo143bo86b2o2bob2o42b2o2bob2o9b2o21b2o2bob2o$13bo213bobo233b3o
47b3o9b2o26b3o$227b2o18bobo$217bo30b2o235bobo$bo213bobo30bo214b2o20b2o
26b2o6b2o30b2o6b2o$2bo7b3o22b2o24bo6bobo4b2o43b2o43b2o38b2o9b2o47b2o
38b2o38b2o38b2o38b2o36b2o10b2o9bo26b2o7bo30b2o7bo$3o3b2o2bo24bo3bo19bo
bo6b2o5bo3bo40bo3bo40bo3bo35bo3bo36b2o17bo3bo35bo3bo35bo3bo35bo3bo35bo
3bo45bo3bo42b2o38b2o$7b2o2bo24b4o20b2o7bo6b4o41b4o34bo6b4o29bo6b4o35bo
bo11bo6b4o29bo6b4o29bo6b4o29bo6b4o29bo6b4o39bo6b4o$6bo101bo5b2o42bobo
37bobo46bo10bobo37bobo37bobo37bobo37bobo47bobo17b2o33b2o38b2o$36b4o23b
3o10b4o29b2o2bobo5b4o33bobo5b4o28bobo5b4o11bo36bobo5b4o28bobo5b4o28bob
o5b4o28bobo5b4o28bobo5b4o38bobo5b4o7b2o35bo39bo$35bo3bo25bo9bo3bo28b2o
2bobo5bo3bo34bo5bo3bo29bo5bo3bo11bobo25bo9bo5bo3bo25bo3bo5bo3bo25bo3bo
5bo3bo25bo3bo5bo3bo25bo3bo5bo3bo25bo9bo3bo5bo3bo9bo29bo5bo33bo5bo$35b
2o27bo2b3o4bobo35b2o5bobo34b3o5bobo29b3o5bobo14b2o26b2o5b3o5bobo28b4o
5bobo28b4o5bobo28b4o5bobo28b4o5bobo29b2o7b4o5bobo43bo39bo$67bo6bobo32b
o9bobo33bo8bobo28bo8bobo41bobo4bo8bobo37bobo37bobo37bobo37bobo28b2o17b
obo43b2o38b2o$31bobo34bo6bo33b2o9bo33bobo8bo30b3o6bo13b2o35b3o6bo31b2o
6bo31b2o6bo29b4o6bo29b4o6bo39b4o6bo$32b2o74bobo44bo42bo19b2o38bo38b2o
34bo2bobo36bo2bo36bo2bo46bo3bo51b2o38b2o$32bo2b2o122b2o59bo110bobo3bo
120bo9b2o52bo39bo$29b2o4bobo92b2o18b2o7bobo13b2o38b2o77bo37b2o124b2o
62b2o38b2o$28bobo4bo50b2o41bo2bo18b2o6bo14bo2bo36bo2bo31bo21b2o21b2o2b
2o11b2o38b2o38b2o38b2o24bobo21b2o48b2o38b2o$30bo55bobo41b2o18bo4bo19b
2o38b2o32b2o16b2o2b2o20bobob2o8b2o2b2o17b2o15b2o2b2o34b2o2b2o24b2o8b2o
2b2o44b2o2b2o44b2o2b2o34b2o2b2o$86bo68b2o91bobo16b2o2bob2o24bo7b2o2bob
2o15bobo14b2o2bob2o32b2o2bob2o21b2o9b2o2bob2o42b2o2bob2o33b2o7b2o2bob
2o32b2o2bob2o$83b2o69bobo115b3o37b3o15bo21b3o37b3o18b2o3bo13b3o47b3o
33b2o12b3o37b3o$82bobo212b2o115b2o$84bo72b3o136bobo114bo101b3o$157bo
114b2o24bo13b2o38b2o38b2o38b2o48b2o33bo14b2o38b2o$158bo113b2o38b2o38b
2o38b2o23b3o12b2o25b2o16b2o3b2o32bo15b2o38b2o$417bo42b2o14b2o$418bo40b
o18bo!
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Re: Synthesising Oscillators

Postby mattiward » February 24th, 2018, 5:01 am

Any leads on possible synthesis for this oscillator?
x = 53, y = 53, rule = B3/S23
19b2o$19bobo$22bo2b2o$20b2obo2bo$19bobob2o$20bo3$21b3o$20bo3bo$19bo5bo
$19bo5bo$19bo5bo$16b2o2bo3bo$15bobo3b3o12bo$15bo20b3o$14b2o23bo$38b2o$
31b3o$18bo12bo8b3o5bo2b2o$18bobo11bo6bo3bo3bobo2bo$18b2o18bo5bo3b2obo$
38bo5bo5bo$38bo5bo3b2o$39bo3bo4bo$40b3o7bo$2b2o45b2o$2bo7b3o$4bo4bo3bo
$3b2o3bo5bo$2bo5bo5bo$bob2o3bo5bo18b2o$o2bobo3bo3bo6bo11bobo$2o2bo5b3o
8bo12bo$19b3o$13b2o$13bo23b2o$14b3o20bo$16bo12b3o3bobo$28bo3bo2b2o$27b
o5bo$27bo5bo$27bo5bo$28bo3bo$29b3o3$32bo$28b2obobo$26bo2bob2o$26b2o2bo
$31bobo$32b2o!
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Re: Synthesising Oscillators

Postby 77topaz » February 24th, 2018, 5:19 am

mattiward wrote:Any leads on possible synthesis for this oscillator?
RLE


Have you seen Kazyan's post about this oscillator in the still life synthesis thread?
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Re: Synthesising Oscillators

Postby mniemiec » February 25th, 2018, 7:10 pm

A 32-bit P4 http://catagolue.appspot.com/object/xp4_7o0uzx3v0szy0107u0ozy33w7/b3s23 came up on
Catagolue on Feb. 5. There are two soups listed. The first doesn't actually generate the oscillator.
The second leads to a 14-glider synthesis:
x = 168, y = 31, rule = B3/S23
5bo$4bo$4b3o$bbo$3bo$b3o28boo28boo68bo$32boo28boo68bobo$132boo$$91bo8b
oo19bo8boo19bo$90bobbo6boo18bobbo6boo18bobbo$53bobo35bobo27bobo27bobo$
13bo40boo35bobbo26bobbo26bobbo$11bobo28boo10bo3bo13boo18bobobbobo22bob
obbobo22bobobbobo$bo10boob3o16bo6bobbo13boo4bo6bobbo17bobobbobo22bobo
bbobo22bobobbobo$bbo12bo17bobo6bobo12bobo3bobo6bobo3bobo16bobbo26bobbo
26bobbo$3oboo10bo16bobbo6bo19bobbo6bo4boo18bobobbobo22bobobbobo22bobo
bbobo$4bobo27boo28boo13bo3bo14bobobbobo22bobobbobo22bobobbobo$4bo77boo
19bobbo26bobbo26bobbo$82bobo19bobo27bobo27bobo$96boo6bobbo18boo6bobbo
26bobbo$96boo8bo19boo8bo29bo$$124boo$44boo28boo47bobo$14b3o27boo28boo
49bo$14bo$15bo$11b3o$13bo$12bo!
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Re: Synthesising Oscillators

Postby calcyman » February 25th, 2018, 9:20 pm

mniemiec wrote:A 32-bit P4 http://catagolue.appspot.com/object/xp4_7o0uzx3v0szy0107u0ozy33w7/b3s23 came up on
Catagolue on Feb. 5. There are two soups listed. The first doesn't actually generate the oscillator.
The second leads to a 14-glider synthesis:


It does as soon as you realise why apgluxe has been consistently misclassifying objects in symmetric soups: :oops:

x = 82, y = 32, rule = B3/S23
bo4bobo5b2o35bo4bobo5b2o$4b2ob2o3b4o38b2ob2o3b4o$o2bo2b2o7bo34bo2bo2b
2o7bo$2b2o3b2ob6o36b2o3b2ob6o$2bo2b2ob2ob2ob2o36bo2b2ob2ob2ob2o$2b2o4b
2o2b4o36b2o4b2o2b4o$bob2ob2obo2b4o35bob2ob2obo2b4o$bob2ob4o2bo2bo35bob
2ob4o2bo2bo$o3bob2ob2o4bo34bo3bob2ob2o4bo$o2b3o4b3o2bo34bo2b3o4b3o2bo$
2b3obobobo4bo36b3obobobo4bo$2o2b3o2bo2bobo35b2o2b3o2bo2bobo$4ob2o2bo2b
3o35b4ob2o2bo2b3o$4o3b3o3bo36b4o3b3o3bo$ob2ob2obobobo37bob2ob2obobobo$
2b3ob3ob4obo36b3ob3ob4ob2ob4ob3ob3o$15bob4ob3ob3o40bobobob2ob2obo$18bo
bobob2ob2obo37bo3b3o3b4o$17bo3b3o3b4o36b3o2bo2b2ob4o$16b3o2bo2b2ob4o
36bobo2bo2b3o2b2o$16bobo2bo2b3o2b2o35bo4bobobob3o$15bo4bobobob3o37bo2b
3o4b3o2bo$15bo2b3o4b3o2bo35bo4b2ob2obo3bo$15bo4b2ob2obo3bo35bo2bo2b4ob
2obo$15bo2bo2b4ob2obo36b4o2bob2ob2obo$15b4o2bob2ob2obo36b4o2b2o4b2o$
15b4o2b2o4b2o37b2ob2ob2ob2o2bo$15b2ob2ob2ob2o2bo37b6ob2o3b2o$15b6ob2o
3b2o37bo7b2o2bo2bo$15bo7b2o2bo2bo35b4o3b2ob2o$15b4o3b2ob2o39b2o5bobo4b
o$15b2o5bobo4bo!


The question is: how do we resolve this?
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Re: Synthesising Oscillators

Postby Majestas32 » February 25th, 2018, 9:36 pm

Ahh so THATs why the apgluxe phantom objects exist. They're slightly a meme now
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Re: Synthesising Oscillators

Postby dvgrn » February 25th, 2018, 10:00 pm

calcyman wrote:
mniemiec wrote:The first doesn't actually generate the oscillator.

It does as soon as you realise why apgluxe has been consistently misclassifying objects in symmetric soups...
The question is: how do we resolve this?

That's easy.

1) Fix the shifted symmetric soup bug, and any other little hiccups that have showed up...
2) Back up the Catagolue database as it currently stands -- make it available at oldcatagolue.appspot.com...
3) Reset to a new empty database, with all new discoveries to be made...
4) Launch LifeCoin and see how many miners jump on board.
5) Profit (???)

We may think we've done a lot of searching in the last few years, but cryptocurrency mining is rumored to use as much electricity these days as Nigeria, and they don't even end up with much of anything to show for it (besides the bitcoins, etc.). A small fraction of that CPU time would pretty quickly get us far past today's Catagolue counts.

Anyway, I'd buy a LifeCoin or two myself,* and I'm sure I'm not the only HackerNews/Slashdot/Reddit/whatever reader that would say the same. It's not often that cryptocurrency mining does actual interesting research. Seems to me new Life patterns are even more interesting than, say, a dog on a coin.

* Yes, I know that part is actually the opposite of profit. Doesn't matter any more than it did to the early DogeCoin folks, who found they had something that was nice to swap around, tip people with and so forth. (I read a good longer article about Markus and Palmer and the early history of DogeCoin recently, can't find it offhand.)
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Re: Synthesising Oscillators

Postby 77topaz » February 25th, 2018, 10:58 pm

I think it would be possible to have a script scan every symmetric soup stored as a sample for an object, run it, see if the object actually appears, and if not, shift the soup and save it. It would probably take some time, though, and may require locking the database for said time (though, up to a point I think that would actually be acceptable, considering the scale of this problem).
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Re: Synthesising Oscillators

Postby calcyman » February 25th, 2018, 11:39 pm

77topaz wrote:I think it would be possible to have a script scan every symmetric soup stored as a sample for an object, run it, see if the object actually appears, and if not, shift the soup and save it. It would probably take some time, though, and may require locking the database for said time (though, up to a point I think that would actually be acceptable, considering the scale of this problem).


Or, more practically, change Catagolue's hashsoup() to check whether the seed begins 'l_' and, if so, applies the apgluxe version of soup generation. I think that's the most feasible way to solve this problem. It also means that, if we decide to modify apgluxe's hashsoup to be backward-compatible with earlier versions, then we can just capitalise the L.
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Re: Synthesising Oscillators

Postby Apple Bottom » February 26th, 2018, 6:24 am

calcyman wrote:Or, more practically, change Catagolue's hashsoup() to check whether the seed begins 'l_' and, if so, applies the apgluxe version of soup generation. I think that's the most feasible way to solve this problem. It also means that, if we decide to modify apgluxe's hashsoup to be backward-compatible with earlier versions, then we can just capitalise the L.


That sounds like the most sensible way forward. The census data's fine after all, no need to throw it out; just fix the soup generation code on Catagolue to handle l_ prefixes as apgluxe <= 4.24-ll1.23 does, and release a new version of apgluxe that corrects soup generation while also introducing a new prefix. These are both independent, and neither is pressing.

As far as bugs go, "easily fixed, no lasting adverse effects, no data loss, no coordination required, no time constraints" is pretty good. :)
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Re: Synthesising Oscillators

Postby Majestas32 » February 26th, 2018, 11:31 am

As for the specifics of lifecoin, I'm thinking automatically generated rare osc/spaceship/patterns in every rule with >100 million objects. Maybe the rare index increases with the number of objects search. This would encourage miners to search a diversity of other rules as well as life :P
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Re: Synthesising Oscillators

Postby mniemiec » February 26th, 2018, 3:31 pm

Majestas32 wrote:As for the specifics of lifecoin, I'm thinking automatically generated rare osc/spaceship/patterns in every rule with >100 million objects. Maybe the rare index increases with the number of objects search. This would encourage miners to search a diversity of other rules as well as life :P

If one thinks of the rule search space as a 102-dimensional space, there are many rules that are extremely similar to other ones nearby (e.g. differ only in include neighborhoods like B8 and S8 that rarely occur, so they rarely make any difference). This means that when gems are found in one rule, it's likely that similar gems are found in some adjacent rules. This would make it fairly easy to game the system by cloning useful soups from one rule and submitting them under another. The thing that makes cryptocurrency mining feasible is that results are rare but fairly evenly distributed. Distributions of useful results in CA soups is not nearly as even.
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Re: Synthesising Oscillators

Postby Majestas32 » February 26th, 2018, 4:07 pm

Hmm then what do you suggest? (Limiting it to b3s23 is boring lol)
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Re: Synthesising Oscillators

Postby mniemiec » February 26th, 2018, 5:21 pm

Majestas32 wrote:Hmm then what do you suggest? (Limiting it to b3s23 is boring lol)

Given how uneven CA results are, I think the very idea of LifeCoin is fundamentally flawed.
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Re: Synthesising Oscillators

Postby calcyman » February 26th, 2018, 5:53 pm

mniemiec wrote:
Majestas32 wrote:Hmm then what do you suggest? (Limiting it to b3s23 is boring lol)

Given how uneven CA results are, I think the very idea of LifeCoin is fundamentally flawed.


That's why Catagolue has, from the very start, SHA256'd the seed before writing it as a 16-by-16 square of cells and simulating it in B3/S23. The two stages of the proof-of-work accomplish orthogonal tasks:

  • The SHA256 makes it implausible to reverse-engineer, and makes all strings equally likely to be successful;
  • Running the pattern in GoL is much more computationally intensive than the original hash, and makes it less susceptible to efficient FPGA/ASIC implementation.

The other ingredient we need is to be able to measurably control the rarity of solutions, but that's possible because we already have comprehensive statistics from 10^13 soups saying exactly which oscillators/spaceships are common.

I think this is getting somewhat off-topic, so this discussion should be migrated to either the Catagolue discussion thread, or to the old pre-Catagolue CACoin thread, or to the comments section in https://mathoverflow.net/a/277668/39521
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