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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 Apple Bottom » December 2nd, 2018, 5:49 am

Sokwe wrote:This was actually found by Tanner Jacobi on January 12, 2016.


I do like Freywa's name for the oscillator though, so - as a proposal to the community, and given that the oscillator does not seem to have been named anything else by Tanner - how about we make it official?
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Re: Synthesising Oscillators

Postby Freywa » December 2nd, 2018, 6:30 am

Do you mean the stable version or the original version with blockers that was found by Wainwright in 1990?

Speaking of names, Roseluck is of course the My Little Pony character – besides Rainbow Dash, the only truly notable one beginning with the letter R. There's another influence: a few hours before I posted the stable oscillator I was watching the Pac-12 championship game. The winner of that game (the Washington Huskies) would go to the Rose Bowl.
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Re: Synthesising Oscillators

Postby mniemiec » December 5th, 2018, 12:57 am

One of the soups for 18P2.359 suggests a 28-glider synthesis
https://catagolue.appspot.com/object/xp2_gk115kzwa8wa2zx111/b3s23
x = 179, y = 80, rule = B3/S23
35bo$33boo98bo$34boo95bobo$132boo5$5bo$6boo11bo$5boo11bo$18b3o$16bo28b
oo28boo28boo28boo28boo$15boo28bobbo26bobbo26bobbo26bobbo26bobbo$15bobo
28b3o27b3o27b3o27b3o27b3o$$46b3o27b3o27b3o27b3o11bobo13b3o$45bobbo26bo
bbo26bobbo26bobbo11boo13bobbo$44bobo27bobo27bobo27bobo14bo12bobo$45bo
29bo29bo29bo11bo17bo$148boo$147boobbobo$151boo$152bo$83bo$82bo$82b3o$
79boo$78bobo96bo$80bo33boo28boo30bobo$113bobbo26bobbo27bobbo$114b3o27b
3o27b3o$boo65b3o$obo67bo17boo24b3o27b3o27b3o$bbo66bo18bobo23bobbo26bo
bbo26bobbo$28b3o57bo27boo28boo28boo$28bo$29bo11$133bobo$134boo$134bo$
130boo$15boo28boo28boo28boo22bobo3boo$15bobbo26bobbo26bobbo26bobbo22bo
3bobbo$16b3o27b3o27b3o27b3o27b3o$$16b3o27b3o27b3o27b3o27b3o$15bobbo26b
obbo26bobbo13bo12bobbo26bobbo$14bobo27bobo27bobo14bo12bobo27bobo$9bo5b
o28boo28boo15b3o10boo28boo$10boo56bo46boo28boo23bo$9boo58bo44bobbo26bo
bbo20bobo$30bobo34b3o28bo16boo28boo19bo5bobo$11bo18boo31b3o31bo68bo7bo
bo$11boo18bo33bo31b3o66bobo7bo$10bobo51bo28b3o10boo28boo30bobo5bo$32b
oo59bo11bobbo26bobbo33bobo$31boo61bo11boo28boo34bo$27bo5bo23boo10b3o
15boo28boo28boo$26bobo27bobo12bo14bobo27bobo27bobo$24bobbo26bobbo12bo
13bobbo26bobbo26bobbo$24b3o27b3o27b3o27b3o27b3o$$24b3o27b3o27b3o27b3o
27b3o$24bobbo26bobbo26bobbo26bobbo26bobbo3bo$26boo28boo28boo28boo28boo
3bobo$151boo$148bo$147boo$147bobo!
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Re: Synthesising Oscillators

Postby Extrementhusiast » December 8th, 2018, 12:10 am

mniemiec wrote:I was also finally able to squeeze together two pairs of glasses ("Four eyes") from 49 gliders:
RLE

I still haven't quite figured out how to make 1x3, 1x4, 2x3, 3x3, 3x4, 4x4, and larger arrays of scrubbers. These would need ways to trigger ways to ignite still-lifes into pulsars, and/or edge-shoot pulsars point-first. (I know many pulsar syntheses, but most of them are from 3 gliders, and not useful here.)

Imma do ya one better using this optometrist with a cleaning problem:
x = 850, y = 66, rule = B3/S23
450bobo$450b2o$445bobo3bo$445b2o$446bo3$401bo5bo42bo91bo5bo$328b3o71bo
4bo42bo91bo4bo$400b3o4bo42bo34bobo54bo4b3o$326bo159b2o310bo$326bo76b3o
46b3o31bo57b3o170bo78bobo$326bo388b2o80b2o$407bo42bo91bo173b2o$328b3o
76bo42bo91bo74bo184bo$251bo111bo43bo42bo91bo69bo3bo50b2o132bo$252b2o
107b2o250b2ob3o47bo2bo41bo89b3o$251b2o3bo101bo3b2o248b2o48bo3bo2bo39b
2o$254b2o103b2o302b2o2b2o38bo2b2o5bo86bo$255b2o101b2o302b2o41bobo8bo
86b2o$84bo116bo504b2o8b3o84bobo$78bobob2o76bo41b2obobo44bo109bo131bo$
79b2o2b2o75bo40b2o2b2o35b3o8b2o28b3o74b2o8b3o122bo22bo87bo54bo59bo4bo
56b2ob2o3bo4bobo34b2ob2o2b2ob2o$79bo80bo45bo45b2o107b2o130b3o21bobo72b
o12bobo52bobo38b3o9b2o5bobo2bobo55bo3bo2bobo4b2o34bo3bo2bo3bo$518bo71b
obo13bo54bo41bo10b2o5bo4bo57b3o4bo5bo11bo24b3o4b3o$591b2o109bo10bo87b
2o5b2o$801bobo4bobo$bo18bo29b2o4b2o43b2o4b2o68b2o4b2o75b2o4b2o79b2o4b
2o70b2o4b2o84b2o4b2o67bo12b2o4b2o34b2o11b2o4b2o52b2o4b2o50b2o4b3o4b2o
8bo26b2o4b3o4b3o4b2o$2bo16bo30bobo2bobo43bobo2bobo68bobo2bobo75bobo2bo
bo79bobo2bobo70bobo2bobo84bobo2bobo67b2o11bobo2bobo33bo2bo10bobo2bobo
52bobo2bobo50bobo2bobobo2bobo35bobo2bobobo2bobobo2bobo$3o16b3o30bo2bo
47bo2bo72bo2bo79b4o79b2o2b4o70b2o2bo2bo2b2o80b2o2bo2bo2b2o64bobo9b2o2b
o2bo2b2o3bo27bo2bo8b2o2bo2bo2b2o3bo40bo3b2o2bo2bo2b2o3bo46bo2b2ob2o2bo
2b2o3bo31bo2b2ob2o2b2ob2o2bo$4b3o8b3o32bobo2bobo43bobo2bobo68bobo2bobo
75bobo2bobo77bo3bo2bobo68bo3bo2bo3bo80bo3bo2bo3bo76bo3bo2bo3bo2bobo27b
2o9bo3bo2bo3bo2bobo38bobo2bo3bo2bo3bo2bobo43bobo2bobobo2bo3bo2bobo28bo
bo2bobobo2bobobo2bobo$6bo8bo34b2o4b2o43b2o4b2o68b2o4b2o75b2o4b2o78b3o
4b2o69b3o4b3o82b3o4b3o78b3o4b3o4bo40b3o4b3o4bo3bobo34bo4b3o4b3o4bo44b
2o4b3o4b3o4bo29b2o4b3o4b3o4b2o$5bo10bo330bo301bo27b2o$347bo301b2o27bo$
44bo18bo37b2o4b2o68b2o4b2o75b2o4b2o78b3o4b2o69b3o4b3o82b3o4b3o73bo4b3o
4b3o34bobo3bo4b3o4b3o45bo4b3o4b3o4bo45bo4b3o4b3o4b2o28b2o4b3o4b3o4b2o$
45bo16bo38bobo2bobo68bobo2bobo75bobo2bobo77bo3bo2bobo68bo3bo2bo3bo80bo
3bo2bo3bo71bobo2bo3bo2bo3bo38bobo2bo3bo2bo3bo9b2o32bobo2bo3bo2bo3bo2bo
bo43bobo2bo3bo2bobobo2bobo28bobo2bobobo2bobobo2bobo$43b3o16b3o38bo2bo
72bo2bo79b4o79b2o2b4o70b2o2bo2bo2b2o80b2o2bo2bo2b2o72bo3b2o2bo2bo2b2o
9bobo27bo3b2o2bo2bo2b2o8bo2bo32bo3b2o2bo2bo2b2o3bo45bo3b2o2bo2b2ob2o2b
o32bo2b2ob2o2b2ob2o2bo$47b3o8b3o40bobo2bobo68bobo2bobo75bobo2bobo79bob
o2bobo70bobo2bobo84bobo2bobo80bobo2bobo11b2o34bobo2bobo10bo2bo38bobo2b
obo57bobo2bobobo2bobo28bobo2bobobo2bobobo2bobo$49bo8bo42b2o4b2o68b2o4b
2o75b2o4b2o79b2o4b2o70b2o4b2o84b2o4b2o80b2o4b2o12bo34b2o4b2o11b2o39b2o
4b2o48bo8b2o4b3o4b2o28b2o4b3o4b3o4b2o$48bo10bo707bobo4bobo$625b2o107bo
10bo22b2o5b2o$523bo87bo13bobo38bo54bo4bo5b2o10bo23bo11bo5bo4b3o40b3o4b
3o$130bo24bo45bo50b2o107b2o159bobo21b3o61bobo12bo39bobo52bobo2bobo5b2o
9b3o32b2o4bobo2bo3bo38bo3bo2bo3bo$125b2o2b2o24b2o2b2o40bo40b3o8b2o28b
3o74b2o8b3o150bo22bo64bo54bo54bo4bo52bobo4bo3b2ob2o38b2ob2o2b2ob2o$
126b2obobo22bobob2o41bo50bo109bo184bo$125bo34bo568b3o8b2o30bobo$255b2o
101b2o304b2o65bo8bobo30b2o$254b2o103b2o298b2o2b2o65bo5b2o2bo32bo$251b
2o3bo101bo3b2o240b2o52bo2bo3bo71b2o$252b2o107b2o236b3ob2o53bo2bo74bo
37b3o$251bo111bo43bo42bo48bo101bo3bo53b2o115bo$328b3o76bo42bo48bo100bo
174bo$407bo42bo48bo230b2o$326bo404b2o46b2o$326bo76b3o46b3o40b3o57bo
174bo48bobo$326bo227b2o223bo$407bo42bo4b3o34b3o4bo54bobo$328b3o76bo42b
o4bo38bo4bo$407bo42bo5bo36bo5bo3$411bo$411b2o$406bo3bobo$406b2o$405bob
o!
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Re: Synthesising Oscillators

Postby BobShemyakin » December 8th, 2018, 3:58 pm

mniemiec wrote:One of the soups for 18P2.359 suggests a 28-glider synthesis
https://catagolue.appspot.com/object/xp2_gk115kzwa8wa2zx111/b3s23
x = 179, y = 80, rule = B3/S23
35bo$33boo98bo$34boo95bobo$132boo5$5bo$6boo11bo$5boo11bo$18b3o$16bo28b
oo28boo28boo28boo28boo$15boo28bobbo26bobbo26bobbo26bobbo26bobbo$15bobo
28b3o27b3o27b3o27b3o27b3o$$46b3o27b3o27b3o27b3o11bobo13b3o$45bobbo26bo
bbo26bobbo26bobbo11boo13bobbo$44bobo27bobo27bobo27bobo14bo12bobo$45bo
29bo29bo29bo11bo17bo$148boo$147boobbobo$151boo$152bo$83bo$82bo$82b3o$
79boo$78bobo96bo$80bo33boo28boo30bobo$113bobbo26bobbo27bobbo$114b3o27b
3o27b3o$boo65b3o$obo67bo17boo24b3o27b3o27b3o$bbo66bo18bobo23bobbo26bo
bbo26bobbo$28b3o57bo27boo28boo28boo$28bo$29bo11$133bobo$134boo$134bo$
130boo$15boo28boo28boo28boo22bobo3boo$15bobbo26bobbo26bobbo26bobbo22bo
3bobbo$16b3o27b3o27b3o27b3o27b3o$$16b3o27b3o27b3o27b3o27b3o$15bobbo26b
obbo26bobbo13bo12bobbo26bobbo$14bobo27bobo27bobo14bo12bobo27bobo$9bo5b
o28boo28boo15b3o10boo28boo$10boo56bo46boo28boo23bo$9boo58bo44bobbo26bo
bbo20bobo$30bobo34b3o28bo16boo28boo19bo5bobo$11bo18boo31b3o31bo68bo7bo
bo$11boo18bo33bo31b3o66bobo7bo$10bobo51bo28b3o10boo28boo30bobo5bo$32b
oo59bo11bobbo26bobbo33bobo$31boo61bo11boo28boo34bo$27bo5bo23boo10b3o
15boo28boo28boo$26bobo27bobo12bo14bobo27bobo27bobo$24bobbo26bobbo12bo
13bobbo26bobbo26bobbo$24b3o27b3o27b3o27b3o27b3o$$24b3o27b3o27b3o27b3o
27b3o$24bobbo26bobbo26bobbo26bobbo26bobbo3bo$26boo28boo28boo28boo28boo
3bobo$151boo$148bo$147boo$147bobo!

reduced to 24G:
x = 153, y = 89, rule = B3/S23
12bo109bo$10bobo108bo$11b2o108b3o$22bo$21bo38b2o15b2o21b2o15b2o11b2o$
21b3o35bo2bo13bo2bo19bo2bo13bo2bo9bo2bo$17bobo39b3o14bobo20b3o14bobo
10b3o$18b2o57bo39bo$18bo40b3o37b3o27b3o$58bo2bo36bo2bo26bo2bo$57bobo
37bobo27bobo$9b3o45b2o38b2o28b2o$11bo$10bo5$14bo$13bo$13b3o54b2o38b2o
28b2o$69bobo37bobo27bobo$67bo2bo36bo2bo26bo2bo$6bo60b3o37b3o27b3o$5b2o
44bo39bo$5bobo42bobo14b3o20bobo14b3o27b3o$b3o45bo2bo13bo2bo19bo2bo13bo
2bo26bo2bo$3bo46b2o15b2o21b2o15b2o28b2o$2bo$12b2o71b3o$12bobo72bo$12bo
73bo24$2bo3bo$3bo2bobo100bobo$b3o2b2o102b2o$110bo$106b2o$3b2o16b2o28b
2o28b2o22bobo3b2o$2bo2bo15bo2bo26bo2bo26bo2bo22bo3bo2bo$2b3o17b3o27b3o
27b3o27b3o2$2b3o17b3o27b3o27b3o27b3o$bo2bo16bo2bo26bo2bo13bo12bo2bo26b
o2bo$obo17bobo27bobo14bo12bobo27bobo$2o18b2o28b2o15b3o10b2o28b2o$44bo
46b2o28b2o23bo$45bo44bo2bo26bo2bo20bobo$43b3o28bo16b2o28b2o19bo5bobo$
39b3o31bo68bo7bobo$41bo31b3o66bobo7bo$40bo28b3o10b2o28b2o30bobo5bo$69b
o11bo2bo26bo2bo33bobo$70bo11b2o28b2o34bo$13b2o18b2o10b3o15b2o28b2o28b
2o$12bobo17bobo12bo14bobo27bobo27bobo$10bo2bo16bo2bo12bo13bo2bo26bo2bo
26bo2bo$10b3o17b3o27b3o27b3o27b3o2$10b3o17b3o27b3o27b3o27b3o$9bo2bo17b
o2bo26bo2bo26bo2bo26bo2bo3bo$10b2o20b2o28b2o28b2o28b2o3bobo$127b2o$
124bo$7b2o2b3o109b2o$6bobo2bo111bobo$8bo3bo!


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Re: Synthesising Oscillators

Postby A for awesome » February 10th, 2019, 1:44 pm

7G synthesis of xp2_25a4owo4a52z4a521w125a4:
x = 78, y = 47, rule = B3/S23
56bo$55bo$55b3o$76bo$75bo$75b3o17$41b3o$41bo$32bo9bo$30bobo2bo$31b2o2bobo$
35b2o16$b2o$obo68b3o$2bo68bo$72bo!

The only possible improvement might be finding a 3G synthesis for the two original pi's — they form from a twin hat predecessor except without deleting the opposite blinker of the TL, but the only 4G twin hat I know of has a more complex mechanism.
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 AforAmpere » February 10th, 2019, 1:55 pm

A for awesome wrote:The only possible improvement might be finding a 3G synthesis for the two original pi's — they form from a twin hat predecessor except without deleting the opposite blinker of the TL, but the only 4G twin hat I know of has a more complex mechanism.

I searched the database of 3G collisions, but did not find anything for the two pi's. It seems this is minimal, unless there magically is a 3G collision that does this that is not in the database.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Synthesising Oscillators

Postby Hdjensofjfnen » Yesterday, 4:56 pm

A for awesome wrote:7G synthesis of xp2_25a4owo4a52z4a521w125a4:
x = 78, y = 47, rule = B3/S23
56bo$55bo$55b3o$76bo$75bo$75b3o17$41b3o$41bo$32bo9bo$30bobo2bo$31b2o2bobo$
35b2o16$b2o$obo68b3o$2bo68bo$72bo!

The only possible improvement might be finding a 3G synthesis for the two original pi's — they form from a twin hat predecessor except without deleting the opposite blinker of the TL, but the only 4G twin hat I know of has a more complex mechanism.

A LoM can turn one of the barge ends of that to a tub end.
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My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3
o5bo$2o3b2o$b2ob2o!
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Re: Synthesising Oscillators

Postby mniemiec » Yesterday, 5:32 pm

Hdjensofjfnen wrote:A LoM can turn one of the barge ends of that to a tub end.

There are a lot of ways of doing that with two gliders, and since a LOM takes two gliders to make, it's just one of them.
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