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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

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?
If you speak, your speech must be better than your silence would have been. — Arabian proverb

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Apple Bottom

Posts: 1019
Joined: July 27th, 2015, 2:06 pm

### Re: Synthesising Oscillators

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.
Princess of Science, Parcly Taxel

Freywa

Posts: 362
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

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/S2335bo$33boo98bo$34boo95bobo$132boo5$5bo$6boo11bo$5boo11bo$18b3o$16bo28boo28boo28boo28boo28boo$15boo28bobbo26bobbo26bobbo26bobbo26bobbo$15bobo28b3o27b3o27b3o27b3o27b3o$$46b3o27b3o27b3o27b3o11bobo13b3o45bobbo26bobbo26bobbo26bobbo11boo13bobbo44bobo27bobo27bobo27bobo14bo12bobo45bo29bo29bo29bo11bo17bo148boo147boobbobo151boo152bo83bo82bo82b3o79boo78bobo96bo80bo33boo28boo30bobo113bobbo26bobbo27bobbo114b3o27b3o27b3oboo65b3oobo67bo17boo24b3o27b3o27b3obbo66bo18bobo23bobbo26bobbo26bobbo28b3o57bo27boo28boo28boo28bo29bo11133bobo134boo134bo130boo15boo28boo28boo28boo22bobo3boo15bobbo26bobbo26bobbo26bobbo22bo3bobbo16b3o27b3o27b3o27b3o27b3o$$16b3o27b3o27b3o27b3o27b3o$15bobbo26bobbo26bobbo13bo12bobbo26bobbo$14bobo27bobo27bobo14bo12bobo27bobo$9bo5bo28boo28boo15b3o10boo28boo$10boo56bo46boo28boo23bo$9boo58bo44bobbo26bobbo20bobo$30bobo34b3o28bo16boo28boo19bo5bobo$11bo18boo31b3o31bo68bo7bobo$11boo18bo33bo31b3o66bobo7bo$10bobo51bo28b3o10boo28boo30bobo5bo$32boo59bo11bobbo26bobbo33bobo$31boo61bo11boo28boo34bo$27bo5bo23boo10b3o15boo28boo28boo$26bobo27bobo12bo14bobo27bobo27bobo$24bobbo26bobbo12bo13bobbo26bobbo26bobbo$24b3o27b3o27b3o27b3o27b3o$$24b3o27b3o27b3o27b3o27b3o24bobbo26bobbo26bobbo26bobbo26bobbo3bo26boo28boo28boo28boo28boo3bobo151boo148bo147boo147bobo! mniemiec Posts: 974 Joined: June 1st, 2013, 12:00 am ### Re: Synthesising Oscillators mniemiec wrote:I was also finally able to squeeze together two pairs of glasses ("Four eyes") from 49 gliders: RLE I still haven't quite figured out how to make 1x3, 1x4, 2x3, 3x3, 3x4, 4x4, and larger arrays of scrubbers. These would need ways to trigger ways to ignite still-lifes into pulsars, and/or edge-shoot pulsars point-first. (I know many pulsar syntheses, but most of them are from 3 gliders, and not useful here.) Imma do ya one better using this optometrist with a cleaning problem: x = 850, y = 66, rule = 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! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1735 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: Synthesising Oscillators mniemiec wrote:One of the soups for 18P2.359 suggests a 28-glider synthesis https://catagolue.appspot.com/object/xp2_gk115kzwa8wa2zx111/b3s23 x = 179, y = 80, rule = B3/S2335bo33boo98bo34boo95bobo132boo55bo6boo11bo5boo11bo18b3o16bo28boo28boo28boo28boo28boo15boo28bobbo26bobbo26bobbo26bobbo26bobbo15bobo28b3o27b3o27b3o27b3o27b3o$$46b3o27b3o27b3o27b3o11bobo13b3o$45bobbo26bobbo26bobbo26bobbo11boo13bobbo$44bobo27bobo27bobo27bobo14bo12bobo$45bo29bo29bo29bo11bo17bo$148boo$147boobbobo$151boo$152bo$83bo$82bo$82b3o$79boo$78bobo96bo$80bo33boo28boo30bobo$113bobbo26bobbo27bobbo$114b3o27b3o27b3o$boo65b3o$obo67bo17boo24b3o27b3o27b3o$bbo66bo18bobo23bobbo26bobbo26bobbo$28b3o57bo27boo28boo28boo$28bo$29bo11$133bobo$134boo$134bo$130boo$15boo28boo28boo28boo22bobo3boo$15bobbo26bobbo26bobbo26bobbo22bo3bobbo$16b3o27b3o27b3o27b3o27b3o$$16b3o27b3o27b3o27b3o27b3o15bobbo26bobbo26bobbo13bo12bobbo26bobbo14bobo27bobo27bobo14bo12bobo27bobo9bo5bo28boo28boo15b3o10boo28boo10boo56bo46boo28boo23bo9boo58bo44bobbo26bobbo20bobo30bobo34b3o28bo16boo28boo19bo5bobo11bo18boo31b3o31bo68bo7bobo11boo18bo33bo31b3o66bobo7bo10bobo51bo28b3o10boo28boo30bobo5bo32boo59bo11bobbo26bobbo33bobo31boo61bo11boo28boo34bo27bo5bo23boo10b3o15boo28boo28boo26bobo27bobo12bo14bobo27bobo27bobo24bobbo26bobbo12bo13bobbo26bobbo26bobbo24b3o27b3o27b3o27b3o27b3o$$24b3o27b3o27b3o27b3o27b3o$24bobbo26bobbo26bobbo26bobbo26bobbo3bo$26boo28boo28boo28boo28boo3bobo$151boo$148bo$147boo$147bobo! reduced to 24G: x = 153, y = 89, rule = B3/S2312bo109bo$10bobo108bo$11b2o108b3o$22bo$21bo38b2o15b2o21b2o15b2o11b2o$21b3o35bo2bo13bo2bo19bo2bo13bo2bo9bo2bo$17bobo39b3o14bobo20b3o14bobo10b3o$18b2o57bo39bo$18bo40b3o37b3o27b3o$58bo2bo36bo2bo26bo2bo$57bobo37bobo27bobo$9b3o45b2o38b2o28b2o$11bo$10bo5$14bo$13bo$13b3o54b2o38b2o28b2o$69bobo37bobo27bobo$67bo2bo36bo2bo26bo2bo$6bo60b3o37b3o27b3o$5b2o44bo39bo$5bobo42bobo14b3o20bobo14b3o27b3o$b3o45bo2bo13bo2bo19bo2bo13bo2bo26bo2bo$3bo46b2o15b2o21b2o15b2o28b2o$2bo$12b2o71b3o$12bobo72bo$12bo73bo24$2bo3bo$3bo2bobo100bobo$b3o2b2o102b2o$110bo$106b2o$3b2o16b2o28b2o28b2o22bobo3b2o$2bo2bo15bo2bo26bo2bo26bo2bo22bo3bo2bo$2b3o17b3o27b3o27b3o27b3o2$2b3o17b3o27b3o27b3o27b3o$bo2bo16bo2bo26bo2bo13bo12bo2bo26bo2bo$obo17bobo27bobo14bo12bobo27bobo$2o18b2o28b2o15b3o10b2o28b2o$44bo46b2o28b2o23bo$45bo44bo2bo26bo2bo20bobo$43b3o28bo16b2o28b2o19bo5bobo$39b3o31bo68bo7bobo$41bo31b3o66bobo7bo$40bo28b3o10b2o28b2o30bobo5bo$69bo11bo2bo26bo2bo33bobo$70bo11b2o28b2o34bo$13b2o18b2o10b3o15b2o28b2o28b2o$12bobo17bobo12bo14bobo27bobo27bobo$10bo2bo16bo2bo12bo13bo2bo26bo2bo26bo2bo$10b3o17b3o27b3o27b3o27b3o2$10b3o17b3o27b3o27b3o27b3o$9bo2bo17bo2bo26bo2bo26bo2bo26bo2bo3bo$10b2o20b2o28b2o28b2o28b2o3bobo$127b2o$124bo$7b2o2b3o109b2o$6bobo2bo111bobo$8bo3bo!

Bob Shemyakin
BobShemyakin

Posts: 211
Joined: June 15th, 2014, 6:24 am

### Re: Synthesising Oscillators

7G synthesis of xp2_25a4owo4a52z4a521w125a4:
x = 78, y = 47, rule = B3/S2356bo$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) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Synthesising Oscillators 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 AforAmpere Posts: 867 Joined: July 1st, 2016, 3:58 pm ### Re: Synthesising Oscillators A for awesome wrote:7G synthesis of xp2_25a4owo4a52z4a521w125a4: x = 78, y = 47, rule = B3/S2356bo$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.
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3o5bo$2o3b2o$b2ob2o!

Hdjensofjfnen

Posts: 864
Joined: March 15th, 2016, 6:41 pm
Location: (394234, -234231)

### Re: Synthesising Oscillators

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.
mniemiec

Posts: 974
Joined: June 1st, 2013, 12:00 am

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