## Synthesising Oscillators

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

### Re: Synthesising Oscillators

BobShemyakin wrote:2 symmetric Cavity

The cleanup on the second can be reduced by 1:
`x = 28, y = 29, rule = B3/S23bo\$2bo\$3o8\$24bo\$18bo4bo\$16bobo4b3o\$17b2o2\$25b2o\$25bobo\$11bo13bo\$12bo\$10b3o6b2o\$18bo2bo\$18bobo\$19bo2\$10b2o\$9bobo\$11bo2b3o\$14bo\$15bo!`
-Matthias Merzenich
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### Re: Synthesising Oscillators

Bi-griddles with a different symmetry:
`x = 113, y = 81, rule = B3/S2385bo\$83bobo\$84b2o4\$96bo\$94b2o\$95b2o2\$85bo\$86b2o20bo\$85b2o21bobo\$106bo4bo\$88b2o16b6o\$87bo2bo\$88b2o16b6o\$106bo4bo\$85b2o21bobo\$86b2o20bo\$85bo2\$95b2o\$94b2o\$96bo4\$84b2o\$83bobo\$85bo10\$84bo\$82bobo\$83b2o2\$25b3o17b3o17bo19bo\$6bo57bobo17bobo\$4bobo16bo5bo13bo5bo14bo2bo16bo2bo\$b2o2b2o16bo5bo13bo5bo15b2o18b2o\$obo20bo5bo13bo5bo\$2bo\$25b3o17b3o\$68bo19bo\$67bobo17bobo\$53b2o12bobo17bobo\$53bobo12bo19bo\$53bo\$69bo19bo19bo\$51b2o16bobo17bobo17bobo\$50bobo14bo4bo14bo4bo14bo4bo\$52bo14b6o14b6o14b6o2\$67b6o14b6o14b6o\$67bo4bo14bo4bo14bo4bo\$68bobo17bobo17bobo\$70bo19bo19bo2\$46b3o22bo19bo\$48bo21bobo17bobo\$47bo22bobo17bobo\$50bo20bo19bo\$49b2o\$49bobo2\$53b3o17b2o18b2o\$53bo18bo2bo16bo2bo\$54bo18bobo17bobo\$74bo19bo\$51b3o\$53bo41b2o\$52bo42bobo\$95bo!`

Bob Shemyakin
BobShemyakin

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### Re: Synthesising Oscillators

BobShemyakin wrote:Bi-griddles with a different symmetry: ...

The cis form is definitely an improvement! I previously had a brute-force 30-glider synthesis of it from 2016-01-17 (I don't think I posted it, as it didn't include anything new). I reported the exact same synthesis of the trans form on 2016-01-03 (see Soup Search Results p.33).
mniemiec

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### Re: Synthesising Oscillators

Here's a incomplete synthesis for an oscillator that, according to mniemiec's website, previously had no synthesis:

`x = 27, y = 37, rule = B3/S232bo\$obo\$b2o2\$13bobo10bo\$14b2o8b2o\$4bo9bo10b2o\$5bo\$3b3o\$7bo\$6bobo6bobo\$6bobo6b2o\$7bo8bo2\$11bo\$10bobo\$10bobo\$11bo\$6b3o\$11bo\$10bobo\$10bobo\$11bo2\$7bo8bo\$6bobo6b2o\$6bobo6bobo\$7bo\$3b3o\$5bo\$4bo9bo10b2o\$14b2o8b2o\$13bobo10bo2\$b2o\$obo\$2bo!`
'

It can probably be brought down to 16 gliders

Goldtiger997

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### Re: Synthesising Oscillators

Goldtiger997 wrote:Here's a incomplete synthesis for an oscillator that, according to mniemiec's website, previously had no synthesis: ... It can probably be brought down to 16 gliders

That can be done with 20, saving one glider in the initial constellation and one in the cleanup. Unfortunately, I don't know of ways to make two adjacent beehives or two nearby beehives from 3 gliders each (although I am sure there are ways to do so). Extrementhusiast also found a 15-glider solution on 2015-07-04 (see end of page 14):
`x = 233, y = 78, rule = B3/S236bo\$5bo\$5b3o\$bo\$bbo\$3o\$142bo33bo\$143bo31bo\$3o40bo51bo45b3o31b3o\$bbo40bobo47bobo53bo19bo\$bo41boo49boo51bobo19bobo\$41bo55bo50boo19boo\$29bo9bobo7bo11boo6bo11boo6bo7bobo11boo6bo6boo23boo6bo6boo18boo3boo13boo3boo13boo3boo\$29bo10boo7bo10bobbo5bo10bobbo5bo7boo11bobbo5bo5bobbo21bobbo5bo5bobbo17bo5bo13bo5bo13bo5bo\$29bo19bo11boo6bo11boo6bo21boo6bo6boo23boo6bo6boo19bobobo15bobobo15bobobo\$\$26boo18boo18boo18boo28boo3boo33boo3boo23b3ob3o13b3ob3o13b3ob3o\$25bobbo16bobbo16bobbo16bobbo3boo21bobbobobbo31bobbobobbo\$26boo18boo18boo18boo4bobo21boo3boo33boo3boo\$92bo52bo27bo\$89boo55boo23boo\$88bobo54boo4boo13boo4boo12bo5bo13bo5bo\$90bo61boo11boo18bobo3bobo11bobo3bobo\$151bo15bo17bobo3bobo11bobo3bobo\$186bo5bo13bo5bo\$209boo\$208bobo\$210bo3\$146bo25bo\$146boo23boo\$145bobo23bobo15\$192bo\$191bo\$191b3o\$\$181bo\$182bo\$180b3o\$\$194bo\$193bo\$193b3o3\$207bobo\$207boo\$181bobo24bo17boo3boo\$181boo22bo20bo5bo\$182bo20boo22bobobo\$177bobo24boo\$178boo46b3ob3o\$178bo19boo\$198bobo\$184bo13bo\$159boo21bobo4boo12bo\$159bo23boo4bo12boo\$139boo16bobo27bobo12bobo\$138boo17boo12boo14boo\$135boo3bo29bobo27bo\$134bobo35bo17bo8boo\$136bo52boo8bobo\$189bobo!`
mniemiec

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### Re: Synthesising Oscillators

Synthesis of 20p3-1 (12G):
`x = 63, y = 43, rule = B3/S2338bo\$39b2o\$38b2o4\$62bo\$60b2o\$61b2o\$2bo\$obo\$b2o43bo8bo\$45bobo6bo\$4b2o39bobo6b3o\$3bobo40bo\$5bo3\$58b3o\$58bo\$59bo2\$41bo\$42bo\$40b3o3\$15bo\$15bobo36bo\$15b2o27b3o6bobo\$46bo6bobo\$18b2o25bo8bo\$18bobo\$18bo\$38b2o\$39b2o\$38bo4\$61b2o\$60b2o\$62bo!`

yootaa

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### Re: Synthesising Oscillators

yootaa wrote:Synthesis of 20p3-1 (12G): ...

This is much better than the previous 28-glider synthesis. Very good!
mniemiec

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### Re: Synthesising Oscillators

Much cheaper way to add a triple block:
`x = 27, y = 37, rule = B3/S2326bo\$24b2o\$25b2o15\$7bo\$8bo\$6b3o\$15bobo\$15b2o5bo\$8bo7bo4bo\$9b2o10b3o\$8b2o3bo\$11b2o\$12b2o\$7bo\$obo5bo15bo\$b2o3b3o15bobo\$bo12b2o8b2o\$13bobo4b2o\$13b2o5bobo\$20bo\$3b2o\$4b2o4b2ob2ob2o\$3bo6b2ob2ob2o!`

EDIT: Finished that one two-CS combination:
`x = 174, y = 40, rule = B3/S23obo\$b2o\$bo5bo\$6bo\$6b3o\$4bo102bo\$2bobo59bo41bo\$3b2o6bo51bo42b3o\$11bobo49b3o\$11b2o\$34bobo\$34b2o2b3o19b2o\$4b2o21b2ob2o3bo2bo17b2obobo31b2ob2o35b2ob2o30b2ob2o\$3bobo20bobob2o7bo15bobob2o31bobob2o34bobobobo6bo21bobobobo\$2bo22bo8b2o18bo13bo22bo6b2o31bo6bo4b2o21bo6bo\$bo22bo9bobo16bo14bobo19bo7b2o30bo6bo6b2o19bo6bo\$bobobo18bobobo5bo18bobobo6b2o2b2o20bobobo35bobobo2b2o26bobobobo\$2b2ob3o17b2ob3o23b2ob3o3b2o6b2o18b2ob3o34b2ob3o29b2ob2o\$8bo22bo28bo4bo5bobo23bo39b2o\$7bobo20bobo26bobo9bo24bobo37bo2bo\$8b2o21b2o27b2o35b2o38bobo6b2o\$138bo7bobo\$108b3o35bo\$108bo\$91b2o16bo30b2o\$90bobo48b2o\$92bo47bo3b2o\$94b3o47bobo\$94bo49bo\$95bo8\$125b2o\$126b2o\$125bo!`

EDIT 2: This solves two related P3s:
`x = 27, y = 26, rule = B3/S2325bo\$24bo\$24b3o\$9bo\$10bo\$8b3o\$12bo\$12bobo\$12b2o\$9bo6bo\$10bo4bo\$8b3o4b3o2\$19b3o\$2b2o2b2o11bo\$2bo3bo2b2o9bo\$3bo3b2obo5b2o\$3o12b2o\$o4bo11bo\$4bobo\$4bobo6b2o\$5bo8b2o\$13bo\$4bo\$4b2o\$3bobo!`

Some small improvements could perhaps be made from this predecessor:
`x = 18, y = 23, rule = B3/S239bo\$10bo\$8b3o\$12bo\$12bobo\$12b2o\$9bo6bo\$10bo4bo\$8b3o4b3o3\$2b2o2b2o\$2bo3bo2b2o\$3bo3b2obo\$3o\$o\$11bo\$10b2o\$10bobo2\$7b2o\$6bobo\$8bo!`
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### Re: Synthesising Oscillators

Final step for the last 14-bit oscillator:

`x = 53, y = 54, rule = B3/S2336bo\$36bobo\$36b2o\$43bo\$41b2o5bo\$42b2o3bo\$47b3o9\$23b2o\$22bobo\$22bo\$21b2o3b2o\$16b2o8b2o\$15bo2bo\$15bo2bo10b2o\$16b2o11bobo\$30bobo\$28bobobo\$26b3ob2o\$25bo\$24bobo\$24bo2bo16bo\$22b2o2b2o15b2o\$22bo20bobo\$20bobo\$20b2o\$11b3o\$13bo36b3o\$5b2o5bo37bo\$6b2o43bo\$5bo40bo\$45b2o\$45bobo\$4b3o34b2o\$6bo34bobo\$5bo35bo2\$7b3o3bo\$9bo3b2o3b3o\$8bo3bobo5bo\$19bo\$3o\$2bo\$bo\$41b2o\$40b2o\$42bo!`

IIRC, there is a component to add an R-bee-siamese-tub, so the large still life should be easy.
Tanner Jacobi

Kazyan

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### Re: Synthesising Oscillators

Kazyan wrote:Final step for the last 14-bit oscillator:

`too-big reaction?`

This should work:
`x = 29, y = 25, rule = B3/S2312bo\$11bo\$11b3o2\$17bobo\$9b2o6b2o4bo\$8bobo7bo4bobo\$8bo14b2o\$7b2o3b2o5b2o\$2b2o8b2o4b2o\$bo2bo15bo\$bo2bo10b2o\$2b2o4b2o5bobo\$7bobo6bobo7b2o\$2bo6bo4bobobo7bobo\$2b2o8b3ob2o8bo\$bobo7bo\$10bobo8b2o\$10b2o8b2o\$16b2o4bo\$16bobo\$3o8b3o2bo\$2bo3b2o\$bo5b2o3b2o\$6bo!`
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### Re: Synthesising Oscillators

Kazyan wrote:Final step for the last 14-bit oscillator:

`x = 53, y = 54, rule = B3/S2336bo\$36bobo\$36b2o\$43bo\$41b2o5bo\$42b2o3bo\$47b3o9\$23b2o\$22bobo\$22bo\$21b2o3b2o\$16b2o8b2o\$15bo2bo\$15bo2bo10b2o\$16b2o11bobo\$30bobo\$28bobobo\$26b3ob2o\$25bo\$24bobo\$24bo2bo16bo\$22b2o2b2o15b2o\$22bo20bobo\$20bobo\$20b2o\$11b3o\$13bo36b3o\$5b2o5bo37bo\$6b2o43bo\$5bo40bo\$45b2o\$45bobo\$4b3o34b2o\$6bo34bobo\$5bo35bo2\$7b3o3bo\$9bo3b2o3b3o\$8bo3bobo5bo\$19bo\$3o\$2bo\$bo\$41b2o\$40b2o\$42bo!`

IIRC, there is a component to add an R-bee-siamese-tub, so the large still life should be easy.

I couldn't find the component to add an R-bee-siamese-tub, so I made my own inefficient (15 gliders) one. The following synthesis can probably be easily improved through that.

Here is the full synthesis in 49 gliders:

`x = 765, y = 36, rule = B3/S23599bo\$600b2o\$599b2o128bo\$729bobo\$375bo159bo193b2o\$376bo115bo40bobo200bo\$132b2o180bo59b3o114bo42b2o198b2o5bo\$128b2o2bobo58bo118bobo63b2o111b3o142b2o21bo6b2o28b2o28b2o7b2o3bo\$127bobo2bo55bobo2bobo117b2o63bobo49bobo56bo45bo29b2o28b2o38bobo19bobo5bobo27bobo27bobo12b3o\$129bo59b2o2b2o61bo59bo61bo47bo3b2o58bo44b2o27bo2bo26bo2bo37bo22b2o5bo29bo29bo\$189bo66bobo57bobo108b2o2bo56b3o28b2o13bobo12b2o13bo2bo11b2o13bo2bo11b2o23b2o3b2o23b2o3b2o23b2o3b2o23b2o3b2o6bo21bo\$193bo62b2o58b2o108b2o91b2o28b2o14b2o12b2o9b3o2b2o12b2o28b2o18bo9b2o18b2o8b2o18b2o8b2o5b2o21bo\$194bo29bo29bo337bo66b2o27bo2bo26bo2bo14bobo18bo2bo\$65bobo124b3o28bobo27bobo87b2o28b2o28bo29bo28b2o28b2o28b2o28b2o28b2o7bo20b2o28b2o14bobo11b2o14bo2bo10b2o14bo2bo10b2o28bo\$13bo52b2o5bobo147bobo27bobo27b2o28b2o28bo29bo4b2o22bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo14b2o11bobo14b2o11bobo22b2o3bobo\$11b2o53bo6b2o149bo29bo29bo29bo29bo29bo3bobo22bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo18b3o6bobo27bo\$12b2o60bo86bo29bo4bobo22b3o27b3o27b3o27b3o6b2o19b3o27b3o4bo22bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo20bo4bobobo7b3o13bobobo\$39b2o28b2o88b3o27b3o4b2o21b3o27b3o27b3o27b3o7b2o18b3o27b3o27b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o13b2o5bo3b3ob2o8bo17bo\$40bo29bo27bo29bo29bo29bo8bo20bo29bo29bo29bo12bo16bo29bo17b2o10bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo20b2o7bo15bo\$9b3o25b3o27b3o27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo16bobo8bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo18bo8bobo9bo\$9bo27bo29bo29bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo15bo10bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo7b2o\$10bo24b2o28b2o28b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o24b2o2b2o7bobo\$35bo29bo4b2o23bo29bo29bo29bo11b3o15bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo21b3o5bo8b2o\$5b2o26bobo27bobo5b2o2bo17bobo27bobo27bobo27bobo11bo15bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo23bo3bobo8bobo\$5bobo25b2o28b2o5bo3b2o17b2o28b2o28b2o28b2o13bo14b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o23bo4b2o9bo\$bo3bo68bobo67b3o\$b2o141bo575b3o3bo\$obo142bo576bo3b2o3b3o\$721bo3bobo5bo\$732bo\$713b3o\$715bo\$714bo\$734b2o\$733b2o\$735bo!`

EDIT:
Kazyan wrote:Final step for the last 14-bit oscillator:

`too-big reaction?`

This should work:
`x = 29, y = 25, rule = B3/S2312bo\$11bo\$11b3o2\$17bobo\$9b2o6b2o4bo\$8bobo7bo4bobo\$8bo14b2o\$7b2o3b2o5b2o\$2b2o8b2o4b2o\$bo2bo15bo\$bo2bo10b2o\$2b2o4b2o5bobo\$7bobo6bobo7b2o\$2bo6bo4bobobo7bobo\$2b2o8b3ob2o8bo\$bobo7bo\$10bobo8b2o\$10b2o8b2o\$16b2o4bo\$16bobo\$3o8b3o2bo\$2bo3b2o\$bo5b2o3b2o\$6bo!`

This yields a cheaper synthesis of 41 gliders:

`x = 651, y = 54, rule = B3/S23617bo\$616bo\$616b3o2\$622bobo\$622b2o4bo\$623bo4bobo\$628b2o3\$475bo\$476b2o\$475b2o2\$251bo159bo\$252bo115bo40bobo\$190bo59b3o114bo42b2o\$69bo118bobo63b2o111b3o142b2o21bo6b2o28b2o28b2o\$64bobo2bobo117b2o63bobo49bobo56bo45bo29b2o28b2o38bobo19bobo5bobo27bobo27bobo\$65b2o2b2o61bo59bo61bo47bo3b2o58bo44b2o27bo2bo26bo2bo37bo22b2o5bo29bo29bo\$65bo66bobo57bobo108b2o2bo56b3o28b2o13bobo12b2o13bo2bo11b2o13bo2bo11b2o23b2o3b2o23b2o3b2o23b2o3b2o23b2o3b2o38bo\$69bo62b2o58b2o108b2o91b2o28b2o14b2o12b2o9b3o2b2o12b2o28b2o18bo9b2o18b2o8b2o18b2o8b2o38bo\$70bo29bo29bo337bo66b2o27bo2bo26bo2bo45bo2bo\$9bo58b3o28bobo27bobo87b2o28b2o28bo29bo28b2o28b2o28b2o28b2o28b2o7bo20b2o28b2o14bobo11b2o14bo2bo10b2o14bo2bo10b2o38bo\$8bo90bobo27bobo27b2o28b2o28bo29bo4b2o22bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo14b2o11bobo14b2o11bobo32b2o3bobo\$8b3o89bo29bo29bo29bo29bo29bo3bobo22bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo37bo\$37bo29bo4bobo22b3o27b3o27b3o27b3o6b2o19b3o27b3o4bo22bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo33bobobo\$7bo27b3o27b3o4b2o21b3o27b3o27b3o27b3o7b2o18b3o27b3o27b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o36bo\$6b2o26bo29bo8bo20bo29bo29bo29bo12bo16bo29bo17b2o10bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo\$6bobo24bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo16bobo8bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo\$2o31b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o17bo10b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o\$b2o\$o72b3o548b2o\$73bo549b2o\$4b3o67bo550bo\$6bo\$5bo583b2o\$588bobo40b2o\$583bo6bo40bobo\$583b2o46bo\$582bobo\$626b2o\$595bo29b2o\$596bo24b2o4bo\$594b3o24bobo\$581b3o37bo\$583bo3b2o\$582bo5b2o11bo\$587bo14b2o\$601b2o2\$599b2o\$598bobo\$600bo!`

@Kazyan, what is the component to add an R-bee-siamese-tub you were referring to?

Goldtiger997

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### Re: Synthesising Oscillators

Kayzan wrote:Final step for the last 14-bit oscillator: ...

Goldtiger997 wrote:Here is the full synthesis in 49 gliders: ...

Great work, guys! This was the last loose end from Dave Buckingham's massive synthesis project. In the 1990s, he had synthesized all stable objects up to 14 bits, and all still-lifes up to 14 bits for no more than 1 glider/bit. Due to one bookkeeping error, one still-life ws actually 15 (which I believe was reduced last year), and this one P2 was not in his synthesis list. (He said he had a synthesis on a notebook in his attic somewhere, but he never found it).
Goldtiger997 wrote:I couldn't find the component to add an R-bee-siamese-tub, so I made my own inefficient (15 gliders) one.

It seems like yours adds bun-siamese-tub in 13, and bun-siamese-boat in 15. The current converter I have adds bun-siamese-tub in 15, so yours is better.
You can save 1 glider by using a different diagonal-bit-spark:
(-4 for unnecessary eater, +1 for pond to ship, +2 for spark):
EDIT:
Goldtiger997 wrote:This yields a cheaper synthesis of 41 gliders: ...

This fix also reduces this one to 40.
`x = 137, y = 54, rule = B3/S2373bo\$74boo\$73boo\$\$100bo7bobo\$71bo27bo8boo4bo\$69bobo27b3o7bo4bobo\$70boo42boo5\$14bobo\$bo13boo\$bbo12bo\$3o25bo\$12bo5bo7boo5bo\$13bo4bobo6boo3bo\$11b3o4boo12b3o\$\$21boo6bo21bo39boo38bo\$21boo5boo21bo39boo38bo\$12boo14bobo18bobbo29boo45bobbo\$11bobo10boo28bo26bobo10boo38bo\$11boo11bobo22boo3bobo24boo11bobo32boo3bobo\$16b3o6bobo27bo39bobo37bo\$18bo4bobobo7b3o13bobobo37bobobo33bobobo\$10boo5bo3b3oboo8bo17bo37b3oboo36bo\$11boo7bo15bo53bo\$10bo8bobo9bo57bobo\$19bobbo7boo57boo\$17boobboo7bobo\$9b3o5bo8boo82boo\$11bo3bobo8bobo80boo\$10bo4boo9bo84bo\$\$12b3o3bo56boo\$14bo3boo3b3o48bobo40boo\$13bo3bobo5bo43bo6bo40bobo\$24bo44boo46bo\$68bobo\$112boo\$81bo29boo\$26boo54bo24boo4bo\$25boo53b3o24bobo\$27bo39b3o37bo\$69bo3boo\$68bo5boo11bo\$73bo14boo\$87boo\$\$85boo\$84bobo\$86bo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Goldtiger997 wrote:I couldn't find the component to add an R-bee-siamese-tub

I suspect he was referring to this reaction by Bob Shemyakin:
`x = 99, y = 14, rule = B3/S2366bo\$62bo2bo\$2bobo58bob3o\$3b2o56b3o\$3bo\$9bo24b2o28b2o\$8bo25bobo27bobo28b2o\$8b3o24bobo27bobo27bobo\$12b3o21bobo27bobo27bobo\$4bo7bo21bobobo25bobobo25bobobo\$2b3o8bo18b3ob2o24b3ob2o24b3ob2o\$bo29bo29bo29bo\$obo27bobo27bobo27bobo\$2o28b2o28b2o28b2o!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1479
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

Sokwe wrote:
Goldtiger997 wrote:I couldn't find the component to add an R-bee-siamese-tub

I suspect he was referring to this reaction by Bob Shemyakin:
`x = 99, y = 14, rule = B3/S2366bo\$62bo2bo\$2bobo58bob3o\$3b2o56b3o\$3bo\$9bo24b2o28b2o\$8bo25bobo27bobo28b2o\$8b3o24bobo27bobo27bobo\$12b3o21bobo27bobo27bobo\$4bo7bo21bobobo25bobobo25bobobo\$2b3o8bo18b3ob2o24b3ob2o24b3ob2o\$bo29bo29bo29bo\$obo27bobo27bobo27bobo\$2o28b2o28b2o28b2o!`

Great!

Here it is with that converter to make a synthesis in 30 gliders:

`x = 381, y = 54, rule = B3/S23317bo\$318b2o\$317b2o2\$344bo7bobo\$315bo27bo8b2o4bo\$313bobo27b3o7bo4bobo\$314b2o42b2o8\$158bo\$157bo\$99bo57b3o45bo\$95bo2bo56bo47bobo57bo\$35bobo58bob3o55bo47b2o55bobo\$36b2o56b3o57b3o28b2o28b2o28b2o15b2o11b2o28b2o28b2o38bo\$36bo148b2o18bo9b2o18b2o8b2o18b2o8b2o28b2o28b2o38bo\$42bo24b2o28b2o106b2o27bo2bo26bo2bo28b2o28b2o45bo2bo\$9bo31bo25bobo27bobo28b2o28b2o28b2o14bobo11b2o14bo2bo10b2o14bo2bo10b2o15bobo10b2o15bobo10b2o38bo\$8bo32b3o24bobo27bobo27bobo27bobo27bobo27bobo14b2o11bobo14b2o11bobo14b2o11bobo14b2o11bobo32b2o3bobo\$8b3o34b3o21bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo37bo\$37bo7bo21bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo25bobobo33bobobo\$7bo27b3o8bo18b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o36bo\$6b2o26bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo\$6bobo24bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo\$2o31b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o\$b2o\$o353b2o\$353b2o\$4b3o348bo\$6bo\$5bo313b2o\$318bobo40b2o\$313bo6bo40bobo\$313b2o46bo\$312bobo\$356b2o\$325bo29b2o\$326bo24b2o4bo\$324b3o24bobo\$311b3o37bo\$313bo3b2o\$312bo5b2o11bo\$317bo14b2o\$331b2o2\$329b2o\$328bobo\$330bo!`

EDIT:
BlinkerSpawn posted the same synthesis below 12 minutes later.
Last edited by Goldtiger997 on April 22nd, 2017, 3:53 am, edited 2 times in total.

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Synthesising Oscillators

Full 30G synthesis:
`x = 421, y = 54, rule = B3/S23357bo\$358b2o\$357b2o2\$384bo7bobo\$355bo27bo8b2o4bo\$353bobo27b3o7bo4bobo\$354b2o42b2o8\$188bo\$187bo\$129bo57b3o\$125bo2bo56bo49bo\$65bobo58bob3o55bo46bobo56bo\$66b2o56b3o57b3o28b2o17b2o57bo81b2o38bo\$66bo148b2o28b2o28b2o14b3o11b2o28b2o38b2o38bo\$72bo24b2o28b2o106bo9b2o18b2o8b2o18b2o8b2o28b2o29b2o45bo2bo\$9bo61bo25bobo27bobo28b2o28b2o28b2o15b2o27bo2bo26bo2bo28b2o37bobo10b2o38bo\$8bo62b3o24bobo27bobo27bobo27bobo27bobo13bobo11b2o14bo2bo10b2o14bo2bo10b2o15bobo10b2o25b2o11bobo32b2o3bobo\$8b3o64b3o21bobo27bobo27bobo27bobo27bobo26bobo14b2o11bobo14b2o11bobo14b2o11bobo38bobo37bo\$37bo29bo7bo21bobobo25bobobo25bobobo25bobobo25bobobo27bobo27bobo27bobo27bobo35bobobo33bobobo\$7bo27b3o27b3o8bo18b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o26bobobo25bobobo25bobobo25bobobo33b3ob2o36bo\$6b2o26bo29bo29bo29bo29bo29bo29bo30b3ob2o24b3ob2o24b3ob2o24b3ob2o33bo\$6bobo24bobo27bobo27bobo27bobo27bobo27bobo27bobo28bo29bo29bo29bo38bobo\$2o31b2o28b2o28b2o28b2o28b2o28b2o28b2o28bobo27bobo27bobo27bobo37b2o\$b2o240b2o28b2o28b2o28b2o\$o393b2o\$393b2o\$4b3o388bo\$6bo\$5bo353b2o\$358bobo40b2o\$353bo6bo40bobo\$353b2o46bo\$352bobo\$396b2o\$365bo29b2o\$366bo24b2o4bo\$364b3o24bobo\$351b3o37bo\$353bo3b2o\$352bo5b2o11bo\$357bo14b2o\$371b2o2\$369b2o\$368bobo\$370bo!`

Great work everybody!
EDIT: Oops.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

Extrementhusiast wrote:Much cheaper way to add a triple block: ...

You had posted this one before; I had added it to my 3x3 block synthesis no later than 2016-12-13.
Extrementhusiast wrote:Finished that one two-CS combination: ...

Nice! This may also solve some of the other difficult cis-shillelagh syntheses, or at least provide alternate paths to some of them. (Of 10 syntheses I have that lack such alternate paths, this solves 6 of them).
The mechanism to add a cis-shillelagh starting from an inducting mouth used to take 28 gliders (27 if boat-bit can be used), and this reduces it to 19 in most cases, so even those syntheses where an alternate path exists, this usually improves it.
Extrementhusiast wrote:This solves two related P3s: ...

Very nice! Instantiated syntheses from 21 and 19 gliders:
`x = 162, y = 130, rule = B3/S237bobo\$8boo\$8bo3\$32boo18boo18boo18boo18boo18boo18boo\$33bo19bo19bo19bo19bo19bo19bo\$14bo18boboo16boboo16boboo16boboo16boboo16boboo16boboo\$13bo20bobo17bobo17bobo17bobo17bobo17bobo17bobo\$13b3o63boo18boo18boo18boo18boo\$60boo16bobbo16bobbo16bobbo16bobbo16bobbo\$15bo44bobo16boo18boo13boo3boo13boo3boo13boo3boo\$14boo44bo53bobo17bobo17bobo\$14bobo40boo33boo21bo19bo9bo10bo\$8boo46bobo32bobo50bo10bo\$9boo47bo34bo43boo5b3o8boo\$8bo87boo40boo\$97boo38bo3b3o\$96bo3boo39bo\$100bobo39bo\$100bo15\$12boo13bo14boo18boo18boo\$13bo13bobo13bo19bo19bo\$13boboo10boo14boboo16boboo16boboo\$14bobo27bobo17bobo17bobo\$19boo\$obo3bobo9bobbo22bobo17bobo17bobo\$boo4boo5boo3boo23bo19bo19bo\$bo5bo6bobo26bobboo15bobboo15bobboo\$16bo26bo19bo19bo\$15bo8bo20bo19bo19bo\$15boo6bo19bobo17bobo17bobo\$23b3o17boo18boo18boo4\$3boo35boo18boo\$4boo34boo18boo\$3bo\$7bo50boo\$7boo10b3o35bobo\$6bobo10bo39bo\$20bo\$17bo\$16boo\$16bobo11\$7bobo\$8boo\$8bo3\$32boo18boo18boo18boo7bobo18boo\$33bo19bo19bo19bo8boo19bo\$14bo18boboo16boboo16boboo16boboo5bo20boboo\$13bo20bobo17bobo17bobo17bobo27bobo\$13b3o54boo18boo9b3o16boo\$49boo18bobbo16bobbo10bo15bobbo\$15bo32bobo19boo18boo10bo17boo3boo\$14boo34bo73bobo\$14bobo35boo70bo\$8boo42bobo70bo\$9boo41bo71boo\$8bo\$95boo\$94bobo\$96bo4\$102boo\$101boo\$103bo10\$3bo8boo28boo18boo18boo\$bobo9bo29bo19bo19bo\$bboo9boboo26boboo16boboo16boboo\$14bobo27bobo17bobo17bobo\$10boo\$9bobbo9bobo3bobo13bobo17bobo17bobo\$10boo3boo5boo4boo16bo19bo19bo\$14bobo6bo5bo13boobbo15boobbo15boobbo\$14bo32bo19bo19bo\$6bo8bo29bo19bo19bo\$7bo6boo29bobo17bobo17bobo\$5b3o38boo18boo18boo4\$26boo21boo18boo\$25boo22boo18boo\$27bo\$23bo47boo\$9b3o10boo47bobo\$11bo10bobo46bo\$10bo\$13bo\$13boo\$12bobo!`

EDIT: The same method solves another 20-bit pseudo-still-life for 31 gliders:
`x = 170, y = 68, rule = B3/S2319bo\$17bobo\$18boo3\$21bo\$19bobobbo\$20boobbobo\$24boo4\$19bo22boo18boo18boo18boo18boo18boo18boo\$20bo21bobo17bobo17bobo17bobo17bobo17bobo17bobo\$18b3o22bo19bo19bo19bo19bo19bo19bo\$44b3oboo14b3oboo14b3oboo14b3oboo14b3oboo14b3oboo14b3oboo\$46boobo16boobo16boobo16boobo16boobo10bo5boobo16boobo\$138bobo\$139boo\$33b3o50boboo16boboo13booboboo5bo7booboboo13booboboo\$23boo8bo36b3o13boobo16boobo13booboobo6bobbo3booboobo12boboboobo\$24boo8bo31boobbo63b3obboo21boo\$23bo37b3o3boobbo66bobo\$35bo27bobbo32boo\$34boo26bo9bo25bobo\$34bobo34boo27bo4bo\$71bobo29bobo\$104boo\$113boo\$106b3o3boo\$108bo5bo\$107bo12\$64bo\$65boo29bo45bo\$64boo28bobo45bobo\$68bobo24boo3bo41boo\$68boo28boo19boo18boo\$50bo18bo29boo18bobo17bobo\$51boo67bo19bo\$50boo42bo\$82bo9bobo7bo\$12boo18boo28boo17bobo9boo6bobo\$bbo9bobo17bobo27bobo16bobbo16bobbo\$obo5bo4bo19bo29bo18boo18boo\$boo6boo3b3oboo14b3oboo24b3oboo14b3oboo14b3oboo15booboo15booboo15booboo\$4boobboo6boobo16boobo26boobo12boobboobo12boobboobo14boboobo14boboobo14boboobo\$3bobo25boo28boo20bo11boo6bo19bo19bo19bo\$5bo25bo29bo20bo13boo4bo19bo19bo19bo\$13booboboo14boboboo24boboboo12boboboboo5bo6boboboboo12boboboboo12boboboboo12boboboboo\$12boboboobo13booboobo23booboobo13booboobo13booboobo13booboobo13booboobo13booboobo\$12boo3\$8b3o\$10bo41boo\$9bo43boo\$52bo!`

Here's another unrelated one from 45 gliders. The only new step is the one that adds the boat:
`x = 152, y = 101, rule = B3/S2376bo\$74bobo\$75boo8\$135bo\$135bobo\$135boo4\$91bo\$90bo\$90b3o39bo\$122bo8boo\$91bo30boo3bo3bobo\$3bo86boo29boboboo\$bobo86bobo33boo22boo\$bboo146bo\$9bo100boo18boo19bo\$9bobo98boo18boo8b3o7boo\$9boo129bo\$25boo3boo13boo3boo13boo3boo13boo3boo13boo3boo13boo3boo9bo3boo3boo\$10bo15bobbobo14bobbobo14bobbobo14bobbobo14bobbobo14bobbobo14bobbobo\$oo8boo3bo10bobobo15bobobo15bobo17bobo17bobo17bobo17bobo\$boo6bobo3bobo9bobo17bobo17bo19bo19bo19bo19bo\$o14boo11bo19bobboo\$51bobo\$47boobbo\$46bobo\$48bo5\$46bo\$46bobo\$46boo\$\$42bo\$40bobo\$41boo3bo\$44boo77bobo\$45boo72bo3boo\$38bobo79boobbo\$39boo3bo74boo\$39bo5bo\$43b3o4boo14bo3boo14bo3boo14bo3boo14bo3boo13boo3boo\$50bo14bobobbo14bobobbo14bobobbo14bobobbo14bobobbo\$51bo9bo4boo3bo9bo4boo3bo14boo3bo14boo3bo14boo3bo\$50boo8bobo7boo8bobo7boo18boo18boo18boo\$40boo18bobo17bobo\$39bobo3boo3boo9bo3boo3boo9bo3boo3boo13boo3boo13boo3boo13boo3boo\$41bo4bobbobo14bobbobo5boo7bobbobo14bobbobo14bobbobo14bobbobo\$46bobo17bobo7bobo7bobo17bobo17bobo17bobo\$47bo13boo4bo10bobboo4bo19bo19bo19bo\$41bo19boo18boo\$40b3o\$40boboo\$41b3o\$41boo11\$88bo\$86boo28bo\$87boo25bobo\$80bo34boo16bo\$78boo40bobo8boo\$76bobboo40boo9boo\$32bo41bobo44bo\$33bo41boo61bobo\$31b3o84bo19boo\$24bo13bo80bo19bo\$25bo11bo74bo4b3o\$23b3o11b3o57boo14boo12boo11boo\$30bobo63bobbo12boo12bobbo10bobo\$26b3obboo63bobbo26bobbo10bo\$28bobbo65boo28boo\$27bo110bo9bo\$35boo3boo12boo4boo12boo4boo12boo4boo22boo4boo5boo8bobo\$35bobobbo13bobbobbo13bobbobbo13bobbobbo23bobbobbo6bobo7bobbo\$28boo6boo3bo14boo3bo14boo3bo14boo3bo24boo3bo14boo3bo\$27bobo10boo18boo18boo18boo28boo18boo\$29bo\$35boo3boo13boo3boo13boo3boo13boo3boo14bo8boo3boo13boo3boo\$36bobbobo14bobbobo14bobbobo14bobbobo14boo8bobbobo14bobbobo\$36bobo17bobo17bobo17bobo16bobo8bobo17bobo\$37bo19bo19bo19bo29bo19bo!`

EDIT 2: Another cis-shillelalgh one from 26:
`x = 171, y = 54, rule = B3/S23143bo\$142bo\$142b3o\$108bo\$105bobbobo30bo\$103bobobboo32bo\$24bo79boo34b3o\$25bo39bo33b3o\$23b3o35bo3bobo33bo36bo23boo\$62bobboo33bo22boo13boo3boo17bobo\$60b3o60bo13bobo3bo19bo\$48boo18boo15booboo15booboo14b3oboo14b3oboo14b3oboo\$48bobo12boo3bobo13bobobobo13bobobobo15bobobo15bobobo15bobobo\$50bo11bobo5bo14bo4bo8bo5bo4bo19bo19bo19bo\$49bo14bo4bo19bo9boo8bo19bo19bo19bo\$48bo19bo19bo9bobo7bo19bo19bo19bo\$47bo19bo19bo19bo19bo19bo19bo\$20b3o24boo18boo18boo18boo18boo18boo18boo\$22bo7bo\$21bo7bo\$29b3o\$\$30bo\$29boo\$29bobo5\$64bo\$65boo29bo45bo\$64boo28bobo45bobo\$68bobo24boo3bo41boo\$68boo28boo19boo18boo\$50bo18bo29boo18bobo17bobo\$51boo67bo19bo\$50boo42bo\$82bo9bobo7bo\$12boo18boo28boo17bobo9boo6bobo\$12bobo17bobo27bobo16bobbo16bobbo\$13bo19bo29bo18boo18boo\$14b3oboo14b3oboo24b3oboo14b3oboo14b3oboo15booboo15booboo15booboo\$16bobobo15bobobo25bobobo11boobbobobo11boobbobobo13bobobobo13bobobobo13bobobobo\$8bobo9bo10boo7bo20boo7bo12bo6bo4boo6bo6bo12bo6bo12bo6bo12bo6bo\$o8boo8bo11bo7bo21bo7bo12bo6bo6boo4bo6bo12bo6bo12bo6bo12bo6bo\$boo6bo8bo15bo3bo25bo3bo13bobo3bo6bo6bobo3bo13bobo3bo13bobo3bo13bobo3bo\$oo15bo15boobbo25boobbo15boobbo15boobbo15boobbo15boobbo15boobbo\$4boo11boo18boo28boo18boo18boo18boo18boo18boo\$5boo\$4bo\$\$52boo\$53boo\$52bo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

I just noticed that not only are there the 3 basic trivial stator variants of 29P9.1 (with table, trans- and cis- carriers), but there are also three others, with a different bottom right corner. Extrementhusiast created a synthesis for the first one on 2016-08-06, and #3 and #2 can be made trivially from this. #6 and #5 could similarly be made trivially from #4. A synthesis for #4 could probably be done by altering the synthesis of #1, but it's a bit beyond my expertise.
`x = 111, y = 10, rule = B3/s23boo37boo19boo37boo\$bbo16boo19bo21bo16boo19bo\$bboboo13bobboboo16boboo16boboo13bobboboo16boboo\$boobobo14boobobo14boobobo14boobobo14boobobo14boobobo\$7bo19bo19bo19bo19bo19bo\$5b3o17b3o17b3o17b3o17b3o17b3o\$oo6boo10boo6boo10boo6boo10boo6boo10boo6boo10boo6boo\$obboboobo11bobboboobo11bobboboobo11bobbob3obbo9bobbob3obbo9bobbob3obbo\$bboobobbo13boobobbo13boobobbo13boobo3boo11boobo3boo11boobo3boo\$6boo18boo18boo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Unoptimized final step for #4:

`x = 31, y = 37, rule = B3/S238bo\$6bobo\$7b2o4\$15bo\$15bo3b2o\$15bo4bo\$20bob2o\$19b2obobo\$16b2o5bobo\$16bo7b2o\$8b2o7b3o6b2o\$9b2o8bo2b4o2bo\$8bo14bo3b2o\$12b2o7bo\$12b2o3bo3b2o\$16bobo\$16bobo\$17bo3\$3o25b2o\$2bo25bobo\$bo13bo12bo\$7b2o6b2o\$8b2o4bobo\$7bo\$18bo\$17b2o\$17bobo3\$b2o23b2o\$obo23bobo\$2bo23bo!`

EDIT: I'm not sure that eater placement is trivial, so here's another way:

`x = 31, y = 31, rule = B3/S23\$19b2o\$20bo\$20bob2o\$19b2obobo\$23bobo\$24b2o\$16bob2o6b2o\$9bo6b2obo2b4o2bo\$9b2o12bo3b2o\$8bobo10bo\$17bo3b2o\$16bobo\$16bobo\$7b2o8bo\$8b2o\$7bo\$28b2o\$28bobo\$15bo12bo\$7b2o6b2o\$8b2o4bobo\$7bo\$18bo\$17b2o\$17bobo3\$b2o23b2o\$obo23bobo\$2bo23bo!`
Tanner Jacobi

Kazyan

Posts: 843
Joined: February 6th, 2014, 11:02 pm

### Re: Synthesising Oscillators

Kazyan wrote:I'm not sure that eater placement is trivial, so here's another way:

`x = 31, y = 31, rule = B3/S23\$19b2o\$20bo\$20bob2o\$19b2obobo\$23bobo\$24b2o\$16bob2o6b2o\$9bo6b2obo2b4o2bo\$9b2o12bo3b2o\$8bobo10bo\$17bo3b2o\$16bobo\$16bobo\$7b2o8bo\$8b2o\$7bo\$28b2o\$28bobo\$15bo12bo\$7b2o6b2o\$8b2o4bobo\$7bo\$18bo\$17b2o\$17bobo3\$b2o23b2o\$obo23bobo\$2bo23bo!`

Minor reduction:
`x = 24, y = 28, rule = B3/S2312b2o\$13bo\$13bob2o\$12b2obobo\$16bobo\$17b2o\$9bob2o6b2o\$2bo6b2obo2b4o2bo\$2b2o12bo3b2o\$bobo10bo\$10bo3b2o\$9bobo\$9bobo\$2o8bo\$b2o\$o\$21b2o\$21bobo\$8bo12bo\$2o6b2o\$b2o4bobo\$o\$11bo\$10b2o\$10bobo\$b2o\$obo\$2bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

Kazyan wrote:I'm not sure that eater placement is trivial, so here's another way: ...

Thanks, guys! (The eater-based solution would be more expensive; the snake takes 5 gliders, and the eater takes only 2, but it takes 2 more each for blinker and block.) Here's the 51-glider full synthesis:
`x = 187, y = 157, rule = B3/S2317bo\$18boo\$17boo\$59bo\$58bo\$58b3o10\$114bo\$113bo41bo10bo\$113b3o37bobo11bo\$103bobo48boo9b3o\$89boo13boo4bobo6boo18boo18boo\$33bo56bo13bo6boo7bo19bo19bo18bo\$34boo53bo21bo7bo19bo19bo4b3o11bobo\$33boo54boo28boo18boo10boo6boo3bo14boo\$91bo15bo13bo19bo10boo7bo3bo15boo\$85bob4o16boo6bob4o16b4o10bo5b4o16b4obboboo\$85boobo17bobo6boobo16bobbo16bobbo16bobbo3booboo\$135boo18boo9bo8boo\$39bo125boo\$39bobo123bobo\$39boo73boo\$36bo71boo3boo\$37boo68bobo5bo\$36boo71bo7\$148bobo\$148boo12bobo\$149bo12boo\$163bo\$150boo\$151boo\$150bo4\$177boo\$119bo19bo19bo17bobo\$108bo9bobo7bo9bobo17bobo17bobo\$109bo9boo7bobo8boo18boo18boo\$107b3o11boo5boo11boo18boo18boo\$63b3o51b4obboboo10b4obbo13b4obbo13b4obbo\$63bo51bobbo3booboo11bo3boo14bo3boo14bo3boo\$64bo50boo19bo19bo19bo\$136boo18boo18boo5\$115boo\$108b3o5boo6boo\$110bo4bo7boo\$109bo9b3o3bo\$121bo\$120bo11\$161bo\$160bo\$160b3o\$156bo\$108bo48bo\$108bobo44b3o3bo15bo\$108boo49boo15bobo\$160boo15bobo\$107bo70bo\$105bobo\$57bo48boo\$58boo7boo18boo28boo18boo18boo18boo\$57boo8bobo17bobo27bobo17bobo17bobo17bobo\$68bobo17bobo27bobo17bobo17bobo17bobo\$55bo13boo11bo6boo21bo6boo18boo18boo18boo\$55boo14boo9bo8boo19bo8boo8boboo6boo8boboo6boo8boboo6boo\$54bobo10b4obbo8bo4b4obbo18bo4b4obbo7boobobb4obbo7boobobb4obbo7boobobb4obbo\$68bo3boo14bo3boo6boo16bo3boo14bo3boo14bo3boo14bo3boo\$66bo19bo14boo13bo19bo19bo19bo\$66boo18boo12bo15boo18boo18boo18boo10\$28bo\$28bobo\$28boo\$bbo\$obo\$boo3\$obo\$boo\$bo4\$29bo\$29bobo26b3o\$17bo11boo29bobbo\$16bobo7boo31bobbo\$17bobo5boo4boo29b3o\$18bo8bo3bobo\$31bo52boo18boo18boo28boo18boo\$44bo19bo20bo19bo19bo29bo19bo\$17boo24boboboo14boboboo16boboo16boboo16boboo26boboo16boboo\$17bobo24boobobo14boobobo14boobobo14boobobo14boobobo24boobobo14boobobo\$18bobo27bobo17bobo17bobo17bobo17bobo27bobo19bo\$19boo28boo18boo18boo18boo18boo28boo17b3o\$11boboo6boo18boboo6boo8boboo6boo8boboo6boo8boboo6boo8boboo6boo18boboo6boo10boo6boo\$11boobobb4obbo17boobobb4obbo7boobobb4obbo7boobobb4obbo7boobobb4obbo7boobobb4obbo17boobobb4obbo9bobbob3obbo\$18bo3boo24bo3boo14bo3boo14bo3boo4bo9bo3boo14bo3boo24bo3boo11boobo3boo\$16bo29bo19bo19bo12bo6bo19bo15boo12bo\$16boo28boo18boo18boo9b3o6boo14bo3boo13bobo8bo3boo\$121bobo19bo7bobo\$100b3o18bobo27bobo\$102bo19bo29bo\$101bo\$140b3o\$142bo\$141bo\$165boo\$164boo\$148boo16bo\$140b3o4bobo\$142bo6bo\$141bo\$154boo\$154bobo\$154bo\$141boo\$142boo\$141bo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:
Kazyan wrote:I'm not sure that eater placement is trivial, so here's another way: ...

Thanks, guys! (The eater-based solution would be more expensive; the snake takes 5 gliders, and the eater takes only 2, but it takes 2 more each for blinker and block.) Here's the 51-glider full synthesis:
`RLE`

Further reductions:
`x = 142, y = 45, rule = B3/S2326bo\$27b2o\$26b2o4\$28bo\$29bo\$27b3o6\$20bobo\$21b2o\$21bo\$64b3o\$45bo4bo15bo2bo\$46b2obo15bo2bo\$45b2o2b3o16b3o2\$107b2o23b2o\$70bo37bo24bo\$33b2o34bobob2o33bob2o21bob2o\$33bobo34b2obobo31b2obobo19b2obobo\$34bobo37bobo34bobo24bo\$35b2o38b2o35b2o22b3o\$obobo22bob2o6b2o28bob2o6b2o25bob2o6b2o15b2o6b2o\$27b2obo2b4o2bo27b2obo2b4o2bo24b2obo2b4o2bo14bo2bob3o2bo\$34bo3b2o34bo3b2o31bo3b2o16b2obo3b2o\$32bo39bo36bo\$32b2o38b2o20b2o9bo3b2o\$95b2o7bobo\$94bo10bo3\$64b2o27bo\$65b2o2b2o22b2o\$29b2o33bo3bo2bo20bobo6b2o\$30b2ob3o32bo2bo28bobo\$29bo3bo35b2o31bo15b3o\$34bo69b3o11bo\$104bo14bo\$105bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Is there any reason why chris_c's glider_synth script could not be extended to oscillators as well. We have syntheses for all oscillators up to 14-bits now. Here is what I think are the cheapest for all oscillators up to 14 bits:
oscill3-14.7z

There are probably heaps of mistakes.

P.S. Has anyone made any progress on synthesising the last 15-bit oscillator, muttering moat 1:

`x = 7, y = 7, rule = B3/S232o\$obob2o\$5bo\$bo2bo\$2bo\$2bobobo\$5b2o!`

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Synthesising Oscillators

Goldtiger997 wrote:Is there any reason why chris_c's glider_synth script could not be extended to oscillators as well. We have syntheses for all oscillators up to 14-bits now. Here is what I think are the cheapest for all oscillators up to 14 bits:
oscill3-14.7z

There are probably heaps of mistakes.

I didn't see any errors, although there are a few minor stylistic things:
- in "9G fox", the final step takes a while before the gliders interact. I usually have them placed in such a way so that the "before" and "after" images are in phase (so when run simultaneously, there are two synchronized objects), the "after" image is the specific phase I want, and it is impossible to run the "before" image by a full cycle (in this case, 2 generations) without the gliders interacting.
- in "30G 14 bit P2 #4" - the last step's "before" image shares a column with the previous step's "after" image. These should probably have more separation. Also, there is an "after" image for all steps except the first.

You are missing one improved synthesis: Phoenix from 6 gliders, by Extrementhusiast 2015-03-01:
`x = 33, y = 14, rule = B3/S236bo\$6bobo\$6boo\$28bo\$16bo11bobo\$11bo3bo10bo\$5boo5boob3o13boo\$3oboo5boo12boo\$bbo3bo24bo\$bo25bobo\$29bo\$10boo\$9bobo\$11bo!`

I am curious, when and where did the synthesis for "8G 14-bit P2 #1" come from? The best one I had was 12 gliders, by Extrementhusiast 2015-01-05. Also, "30G 14 bit P2 #4"? The best one I had was from 40 gliders. Where did the improved base still-life synthesis come from?

There are now syntheses for most oscillators up to 21 bits, except 3 20-bit P3s, and many P2s (because P2s are simple enough that many viable ones exist, yet are complicated enough that they are difficult to synthesize. Larger oscillators are usually easier because they are so much rarer).

Goldtiger997 wrote:P.S. Has anyone made any progress on synthesising the last 15-bit oscillator, muttering moat 1: ...

Sadly, not that I am aware of. (Once solved, this will also solve the last two unsolved 19-bit P2 pseudo-oscillators).
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:
Goldtiger997 wrote:P.S. Has anyone made any progress on synthesising the last 15-bit oscillator, muttering moat 1: ...

Sadly, not that I am aware of. (Once solved, this will also solve the last two unsolved 19-bit P2 pseudo-oscillators).

Well...
`x = 44, y = 31, rule = B3/S235bo\$6bo\$5bo\$5bo\$7bo\$5b2ob2o\$6bobo\$7bo\$20b2o\$19bo2bo\$20b2o4\$2o7bo\$2o6bobo\$9bo6b3o2\$34bo\$33bobo\$33bobo\$32bo\$17b2o13b3o5b3o\$17b2o11b2o3bo2b2o3bo\$29bo5bo6bo\$33bob3ob3o\$31b2obo2b4o\$27bo3bo\$28bo3bo\$29b2obo\$31bo!`

Unfortunately I'm pretty sure our barberpole-shortening isn't *that* good just yet,
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

mniemiec wrote:
Goldtiger997 wrote:P.S. Has anyone made any progress on synthesising the last 15-bit oscillator, muttering moat 1: ...

Sadly, not that I am aware of. (Once solved, this will also solve the last two unsolved 19-bit P2 pseudo-oscillators).

Oh yeah, just forgot to post the file:
`x = 57, y = 44, rule = B3/S2336bobo\$36b2o\$37bo6\$12bo\$10bobo\$11b2o2\$6bobo11bo\$7b2o10bo5bobo\$7bo11b3o3b2o\$26bo\$15bo\$13b2o\$14b2o17bobo\$33b2o\$34bo\$23bobo\$23b2o\$24bo\$13b2o35b2o\$11bo2bo35bo3b2o\$11b3o11bo25bobobo\$24b2o\$b2o8b5o8bobo24b2o2bo\$obo7bo2bo2bo36bo2bo\$2bo7b2o3b2o38b2o3\$25b3o\$25bo\$26bo\$b2o\$obo6bo\$2bo6b2o\$8bobo9bo\$19b2o\$5bo13bobo\$5b2o\$4bobo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

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