## 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?
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Apple Bottom

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### 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.
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Freywa

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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$$24b3o27b3o27b3o27b3o27b3o24bobbo26bobbo26bobbo26bobbo26bobbo3bo26boo28boo28boo28boo28boo3bobo151boo148bo147boo147bobo! mniemiec Posts: 969 Joined: June 1st, 2013, 12:00 am ### Re: Synthesising Oscillators mniemiec wrote:I was also finally able to squeeze together two pairs of glasses ("Four eyes") from 49 gliders: RLE I still haven't quite figured out how to make 1x3, 1x4, 2x3, 3x3, 3x4, 4x4, and larger arrays of scrubbers. These would need ways to trigger ways to ignite still-lifes into pulsars, and/or edge-shoot pulsars point-first. (I know many pulsar syntheses, but most of them are from 3 gliders, and not useful here.) Imma do ya one better using this optometrist with a cleaning problem: x = 850, y = 66, rule = 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! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1735 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: Synthesising Oscillators mniemiec wrote:One of the soups for 18P2.359 suggests a 28-glider synthesis https://catagolue.appspot.com/object/xp2_gk115kzwa8wa2zx111/b3s23 x = 179, y = 80, rule = B3/S2335bo33boo98bo34boo95bobo132boo55bo6boo11bo5boo11bo18b3o16bo28boo28boo28boo28boo28boo15boo28bobbo26bobbo26bobbo26bobbo26bobbo15bobo28b3o27b3o27b3o27b3o27b3o$$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: 862
Joined: July 1st, 2016, 3:58 pm

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