## Synthesising Oscillators

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
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### Re: Synthesising Oscillators

Another possible angle of attack:

Code: Select all

x = 94, y = 20, rule = B3/S23
88bo$86b3o$85bo$85b2o2$83bo$10bo72bo$10bo72bo$9b3o$74b2o15b2o2$74bo2b o11bo2bo$2o2bo3b5o3bo2b2o52b2ob2o3b5o3b2ob2o$o2bobobob3obobobo2bo52bo 2bobobob3obobobo2bo$2b2obobobobobobob2o24bobobo27b2obobobobobobob2o$3b o2b2obobob2o2bo58bo2b2obobob2o2bo$3bo4b2ob2o4bo58bo4b2ob2o4bo$4b3o7b3o 60b3o7b3o$6bob2ob2obo64bob2ob2obo$7bobobobo66bobobobo! praosylen#5847 (Discord) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ Entity Valkyrie 2 Posts: 754 Joined: February 26th, 2019, 7:13 pm Location: Hijuatl, Zumaland Contact: ### Re: Synthesising Oscillators Also: Code: Select all x = 90, y = 23, rule = B3/S23 86bo$84b3o$83bo$13bo69b2o$11b3o$10bo$10b2o69bo$80bobo2$7b3o70b3o3$7b3o
70b3o2$2bo11bo60bo11bo$bobo9bobo58bobo9bobo$bo2bob2ob2obo2bo58bo2bob2o b2obo2bo$2obobobobobobob2o24bobobo27b2obobobobobobob2o$bo2b2obobob2o2b o58bo2b2obobob2o2bo$bo4b2ob2o4bo58bo4b2ob2o4bo$2b3o7b3o60b3o7b3o$4bob
2ob2obo64bob2ob2obo$5bobobobo66bobobobo!  Bx222 IS MY WORST ENEMY. Please click here for my own pages. Also, please apgsearch B34t5y7/S23 (B-life) The ENEERG-y of the EVAD is watching. The 70th NAI-ve guy is watching. mattiward Posts: 29 Joined: February 8th, 2018, 3:19 am ### Re: Synthesising Oscillators xp3_32aczx4b560o8k8zy51hckozy71x31e8 (Order 3 biting off more than they can chew) from 26 gliders. Code: Select all x = 210, y = 126, rule = B3/S23 70bo$68bobo$69b2o59bo$128b2o$129b2o5$142bobo$142b2o$143bo5$132bo$127bo
4bobo$125b2o5b2o$126b2o8$106bo$107bo$105b3o3$110bobo$101bo3b2o4b2o5b2o$102bob2o5bo6bobo$100b3o3bo11bo3$112b2o14bo$112bobo7b3o2b2o$102bo9bo9b
o4bobo$103b2o18bo$102b2o4b3o$108bo$109bo4$103b3o$103bo$104bo2$109b2o$109bobo$109bo$88bo$88b2o$87bobo19b2o$73bo34b2o$73b2o35bo$72bobo2$86b3o$88bo$87bo$138b2o$87bo49b2o$87b2o50bo$86bobo4$79b2o59b2o$80b2o58bobo$
79bo60bo4$152b3o$152bo$153bo14$84bo$83bo$77bobo3b3o29bobo$6bo70b2o36b 2o8bo21bo17bo39bo$7bo70bo37bo6b3o22bo14b3o37b3o$5b3o114bo23b3o2b2o9bo 39bo$74b2o3b2o41b2o27b2o9b2o38b2o$74bobob2o69b2o$37b2o31bo3bo5bo39bo9b
o18b2o9b2o38b2o$bo3b2o16b2o6bobo3bobo23b2o4bobo41b2o4bobo6b2o29bobo37b obo$2bob2o17bobo6b2o3bo25bobo4bobo40bobo4bobo6b2o24bo3b2obo32bo3b2obo$3o3bo17bobo5bo31bobo4bobo32b2o6bobo4bobo30bob2o3bo32bob2o3bo$25bobo37b
obo4b2o33b2o6bobo4b2o31bobo37bobo$26bo4b2o33bo39bo9bo38b2o38b2o$31bobo
$31bo31bo49bo39b2o38b2o$62bobo47bobo37bobo10b2o25bobo10b2o$23bo3b3o33b obo47bobo9bo26b2obo9b2o25b2obo9b2o$24b2obo36bobo42b2o3bobo7b2o23b2o3bo
34b2o3bo$23b2o3bo36b2o41bobo4b2o3b2o2bobo21bobo37bobo16b3o$60b3o45bo
12b2o25bo39bo18bo$60bo46b2o11bo26b2o38b2o19bo$61bo$22b3o31b2o$22bo34b
2o2bo51bo$23bo32bo3b2o51b2o11b3o$60bobo49bobo11bo$127bo2$55b2o$54bobo$
56bo!
Also, Order 4 biting off more than they can chew from 32 gliders.

Code: Select all

x = 260, y = 132, rule = B3/S23
80bo$81b2o$80b2o4$92bobo49bo$93b2o49bobo$93bo50b2o3$137bo$136bo21bo$
96bo39b3o18bo$94bobo57bo2b3o$95b2o50bo4b2o$146bo6b2o$146b3o9$126bo$
127bo$125b3o2$131bo$129bobo$121bo3b2o3b2o$122bob2o13b2o$101bo2bobo8bo
4b3o3bo11b2o$99bobo3b2o9b2o22bo$100b2o3bo9b2o2$133b2o9bo3b2o$109bo12bo
9b2o9b2o3bobo$110b2o11b2o9bo8bobo2bo$109b2o11b2o4b3o$118b2o8bo$118bobo
8bo$118bo3$123b3o$123bo$124bo8$101b3o$95b2o6bo$96b2o4bo50b2o$90b3o2bo
57bobo$92bo18b3o39bo$91bo21bo$112bo3$104b2o50bo$103bobo49b2o$105bo49bo
bo4$168b2o$167b2o$169bo29$154bo$153bo28bo$147bobo3b3o27bo11bobo$6bo 140b2o32b3o11b2o8bo49bo$7bo140bo47bo6b3o47b3o$5b3o194bo49bo$144b2o3b2o
51b2o48b2o$144bobob2o39bo41bo$87b2o51bo3bo5bo36b2o11bo9bo21bo17b2o$bo 3b2o26b2o38b2o6bobo3bobo43b2o4bobo41bobo2b2o3b2o4bobo6b2o20b3o16bobo$
2bob2o27bobo37bobo6b2o3bo45bobo4bobo41b2o7bobo4bobo6b2o34bo3b2obo$3o3b o27bobo37bobo5bo51bobo4bobo40bo9bobo4bobo29b2o9bob2o3bo$35bobo37bobo
57bobo4b2o51bobo4b2o29b2o10bobo$36bo31bo7bo4b2o53bo59bo48b2o$66bobo12b
obo$67b2o4bo7bo51bo59bo49b2o$72bobo51b2o4bobo51b2o4bobo47bobo10b2o$33b o3b3o27bo5bobo50bobo4bobo50bobo4bobo9bo32bo3b2obo9b2o$34b2obo24bo3b2o
6bobo50bobo4bobo42b2o6bobo4bobo7b2o31bob2o3bo$33b2o3bo21bobo3bobo6b2o 51bobo4b2o43b2o6bobo4b2o3b2o2bobo31bobo16b3o$61b2o56bo5bo3bo49bo9bo11b
2o35b2o17bo$120b2obobo74bo57bo$119b2o3b2o60b2o48b2o$32b3o152bo49bo$32b
o88bo62b3o6bo40b3o$33bo87b2o61bo8b2o11b3o25bo$114b3o3bobo69bobo11bo$116bo90bo$115bo!
xp5_g88gxca23z11daa3szo8bl5c3z011y0354c from 33 gliders.

Code: Select all

x = 466, y = 298, rule = B3/S23
312bo$312bobo$312b2o7$149bobo$150b2o$150bo4$319bo$317b2o$318b2o$307bo$
306bo$306b3o16bo$323b2o$315bo8b2o$315bobo$315b2o24$160bo$158bobo$159b
2o21$263bo$263bobo$263b2o$192bo$190bobo$191b2o3$230bo$231bo3bo$229b3ob 2o$234b2o9$240bo6bo$204bo35bobo3bo$205bo34b2o4b3o$203b3o$229bo8b2o$
228bo9bobo$228b3o7bo2$235bo$220bobo3bo8b2o$221b2ob2o8bobo$221bo3b2o8$
238b2o$238bobo$238bo17$260b2o$260bobo$260bo15$277bo$276b2o$276bobo2$196b3o$198bo$197bo6$286b2o$285b2o$287bo9$311bo$310b2o$163b3o144bobo$
165bo$156bo7bo$156b2o$155bobo7$312bo$311b2o7b2o$311bobo5b2o$321bo2$
150bo$150b2o$149bobo$160bo$160b2o151b2o$159bobo151bobo$313bo3$312b2o$
312bobo$312bo38$406bo$406bobo$406b2o$10bo$11bo3bo48b2o58b2o38b2o78b2o
58b2o48b2o48b2o$9b3ob2o48bo2bo56bo2bo36bo2bo76bo2bo56bo2bo46bo2bo46bo 2bo$14b2o47bo2bo56bo2bo36bo2bo76bo2bo56bo2bo46bo2bo46bo2bo$64b2o58b2o 38b2o78b2o58b2o48b2o48b2o2$395bobo$208bo187b2o$209bo186bo$207b3o2$455b
o$20bo432b3o$20bobo429bo$20b2o34b2o43bo14b2o38b2o78b2o58b2o4bo43b2o48b 2o48b2o4b2o$55bo2bo43bo12bo2bo36bo2bo76bo2bo56bo2bo3bobo40bo2bo46bo2bo
46bo2bo$9bo8b2o35b3obo40b3o12b3obo35b3obo75b3obo55b3obo2b2o2b2o37b3o2b o44b3o2bo44b3o2bo7bo$8bo9bobo37bo59bo39bo79bo59bo6b2o41b3o47b3o47b3o6b
o$8b3o7bo38bo59bo39bo79bo59bo9bo39bo49bo49bo9b3o$57b2o58b2o38b2o7bo70b
2o58b2o48b2o48b2o48b2o$15bo149bo$obo3bo8b2o42bo57b2o38b2o6b3o69b2o58b
2o48b2o48b2o48b2o15bo$b2ob2o8bobo41b2o57bobo37bobo77bo59bo49bo9bo39bo 49bo15bo$bo3b2o51bobo57bo39bo3b3o73bo59bo49bo6b2o41b3o47b3o12b3o$155b 3o4bo72b3o57b3obo45b3obo2b2o2b2o37b3o2bo44b3o2bo8b3o$155bo7bo71bo59bo
2bo46bo2bo3bobo40bo2bo46bo2bo10bo$296b2o48b2o4bo43b2o48b2o4b2o6bo$452b
o$453b3o$248b2o205bo$247b2o$249bo$117bo127b2o149bo$114bo2bobo124bobo
149b2o$112bobo2b2o127bo148bobo$113b2o$354b2o48b2o$304b2o47bo2bo46bo2bo
$305b2ob3o42bo2bo46bo2bo$304bo3bo45b2o48b2o$258bo50bo$257b2o147b2o$257bobo146bobo$406bo10$212b2o$211bobo$213bo$204b2o$205b2o$204bo!

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

66P13 and its bigger variant in 86 gliders each:

Code: Select all

x = 1224, y = 69, rule = B3/S23
1174bo$1169bo4bobo$1167b2o5b2o$1168b2o4$1154bo$1155bo$1153b3o64bo$1157bo60b3o$1157bobo57bo$1147bo9b2o58b2o$1148b2o$1147b2o66bo$1214b3o$1213b2ob2o$1213b2ob2o$1170bo43b3o$1164b3o2b2o44bo$596bobo25bo523bo11bo 3bo4bobo37bo5bo5bo$597b2o25bobo326bo193bobo9bobo3bo42bobo9bobo$597bo 26b2o328bo192bobo4bo4bobo46bobo3bobo3bobo$952b3o191b2obobobobobobob2o
44b2obobobobobobob2o$617bo360bo168bo2b2obobob2o2bo46bo2b2obobob2o2bo$
585bobo29bobo356b2o169bo4b2ob2o4bo46bo4b2ob2o4bo$586b2o29b2o358b2o169b 3o7b3o48b3o7b3o$586bo563bob2ob2obo52bob2ob2obo$579bo378bo192bobobobo 54bobobobo$577bobo378bobo$578b2o378b2o$672bo$14bo658b2o280bobo$14bobo
649bobo3b2o9bobo50bo219b2o$14b2o651b2o14b2o51bobo217bo$296bobo198bobo
167bo16bo51b2o51bobo$297b2o198b2o126bobo32bo70bo58b2o$297bo200bo122b2o
2b2o31bobo71b2o56bo$obo618bobo2bo32b2o2b2o66b2o$b2o36bobo3bobo32bo3bo
71bobo213bobo246bo40bobo63b2o57bo6bo$bo38b2o3b2o32bobobobo29bo7bo32b2o 16bo7bo31bo9bo7bo29bo7bo35bo7bo41bo16b2o35bo9bo33bo34bo174bo19b2o41bob o6b2o9b2o39b2o3bobo9b2o37bo8bo9b2o36bo9b2o37bo9b2o57bo11bo8bo45bo11bo 73bo$7bo32bo5bo29b2o2b2ob2o2b2o25bobo5bobo32bo15bobo5bobo31bo7bobo5bob
o27bobo5bobo33bobo5bobo32b2o5bobo15bo28b2o5bobo7bo26b2o5bobo25b2o5bobo
47b2o5b2o56b2o5b2o62b2o9bo2bo40bo6bobo9bo2bo35b2o5bobo9bo2bo35b2o5bobo
9bo2bo32bobo9bo2bo33bobo9bo2bo53bobo9bobo5b2o45bobo9bobo65bo4b2o$8bo 66bobo9bobo25bobo3bobo50bobo3bobo30b3o8bobo3bobo29bobo3bobo35bobo3bobo 32bo2bo3bobo44bo2bo3bobo8b3o23bo2bo3bobo25bo2bo3bobo47bo2bo3bo2bo54bo 2bo3bo2bo62bo4bo4bobobo48bo4bo4bobobo31b2o10bo4bo4bobobo33b2o6bobo4bo 4bobobo31bobo4bo4bobobo32bobo4bo4bobobo52bobo4bo4bobo6b2o44bobo4bo4bob o64bo6b2o$6b3o32b2ob2o31bo2b2ob2o2bo28bobobobo52bobobobo43bobobobo31bo
bobobo25bo11bobobobo33bobobobobo45bobobobobo35bobobobobo26bobobobobo
11bo36bobobobobobo54bobobobobobo14b2o46bobobobobobob2o49bobobobobobob
2o31bobo10bobobobobobob2o41b2obobobobobobob2o31b2obobobobobobob2o32b2o
bobobobobobob2o52b2obobobobobobob2o50b2obobobobobobob2o63b3o$10bobo29b obo36bobo34bobo56bobo47bobo35bobo28bo12bobo36b2obobo48b2obobo38b2obobo 29b2obobo12bo38b2obobob2o56b2obobob2o15bobo46b2obobob2o54b2obobob2o37b o4b3o4b2obobob2o49b2obobob2o36bo2b2obobob2o37bo2b2obobob2o57bo2b2obobo b2o55bo2b2obobob2o2bo$10b2o29bo3bo34bo3bo32b2ob2o54b2ob2o33b3o9b2ob2o
33b2ob2o25b3o11b2ob2o37b2ob2o49b2ob2o9b3o27b2ob2o30b2ob2o11b3o38b2ob2o
60b2ob2o17bo50b2ob2o58b2ob2o46bo6b2ob2o53b2ob2o38bo4b2ob2o39bo4b2ob2o
59bo4b2ob2o57bo4b2ob2o4bo$11bo29b2ob2o34b2ob2o70b3o2b2o47b2o5bo6b2o34b ob2o40bob2o39b3o20b2o2b3o24b3o7b2o6bo5b2o18b3o7b2obo21b3o7b2obo43b3o7b 3o52b3o7b3o60b3o7b3o50b3o7b3o41bo3b3o7b3o37bobo5b3o7b3o35b3o7b3o36b3o 7b3o13bo42b3o7b3o5bobo46b3o7b3o121bo$116bo5bo34bob2o15b2ob2o29b2o3bo5b
o2bob2ob2o28b2obob2ob2o24bo9b2obob2ob2o32bo2bob2ob2o15b2obo25bo2bob2ob
2obo2bo5bo3b2o18bo2bob2ob2obob2o20bo2bob2ob2obob2o9bo32bo2bob2ob2obo2b
o50bo2bob2ob2obo2bo58bo2bob2ob2obo2bo48bo2bob2ob2obo2bo43bo2bob2ob2obo
2bo37b2o4bo2bob2ob2obo2bo36bob2ob2obo2bo37bob2ob2obo2bo11b2o44bob2ob2o
bo2bo4b2o49bob2ob2obo59bobo59b3o$116b2o3b2o33bo4bo13bobobobo27bo11b2o 2bobobobo31bobobobo23b2o12bobobobo31b2o2bobobobo13bo4bo24b2o2bobobobo 2b2o11bo17b2o2bobobobo24b2o2bobobobo12b2o32b2o2bobobobo2b2o32b2o16b2o 2bobobobo2b2o58b2o2bobobobo2b2o48b2o2bobobobo2b2o43b2o2bobobobo2b2o37b o5b2o2bobobobo2b2o27b2o8bobobobo2b2o38bobobobo2b2o11bobo44bobobobo2b2o 5bo50bobobobo8b2o50b2o59bo$115bobo3bobo52bo3bo45bo3bo25b2o6bo3bo23bobo
13bo3bo37bo3bo49bo3bo39bo3bo6b2o22bo3bo13bobo36bo3bo36bobo310b2o208b2o
51bo59b2o$256b2o201b2o122bo259b3o45b2o86b2o58b3o65b2o$216bo201bo426bo
44bobo85b2o59bo67bobo40bobo$216b2o35b3o161b2o42b3o74b2o304bo47bo87bo 59bo66bo43b2o9bo3b2o47bo$215bobo37bo161bobo41bo75bobo5b3o307b3o169b3o
121bo9b2o3bobo46bo$254bo33b2o172bo43b2o31bo5bo309bo173bo131bobo2bo47bo bo$6bo282b2o214b2o34b2o3bo309bo171bo186bo$6b2o280bo218bo33bobo671bo$5b
obo533bo312b2o173b2o184bo$855b2o171b2o124bo60bo$854bo175bo121bobo60bo$1148bo4b2o5bo48bo11bo$1147bobo9bobo46bobo9bobo$181b2o165b2o797bobo4bo 4bobo46bob5ob5obo$181bobo163bobo796b2obobobobobobob2o44b2obo3bobo3bob
2o$181bo167bo797bo2b2obobob2o2bo46bo2b2obobob2o2bo$1147bo4b2ob2o4bo46b
o4b2ob2o4bo$1148b3o7b3o48b3o7b3o$1150bob2ob2obo52bob2ob2obo$1151bobobo bo54bobobobo!  I Like My Heisenburps! (and others) A for awesome Posts: 2122 Joined: September 13th, 2014, 5:36 pm Location: Pembina University, Home of the Gliders Contact: ### Re: Synthesising Oscillators Extrementhusiast wrote: March 20th, 2020, 8:02 pm 66P13 and its bigger variant in 86 gliders each: Code: Select all rle Impressive! I didn't expect there to be any simple activation for the drifty portion of the oscillator, much less a 1G activation. praosylen#5847 (Discord) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators Extrementhusiast wrote: March 20th, 2020, 8:02 pm 66P13 and its bigger variant in 86 gliders each... Nice! Is the route a result of something like a retrosynthesis? As a synthesis apprentice I've wondered a lot. --- By the way, that C4_1 statorless p33 reduced to 56G trivially: Code: Select all x = 205, y = 95, rule = B3/S23 27bo115bo$25bobo113bobo$26b2o114b2o$172bo$170b2o$171b2o$153bo$154b2o$141bo11b2o$36b3o103bo28bo$36bo103b3o7bo19bo$37bo111bobo18b3o$149bo2bo$
150b2o$137bobo$138b2o$138bo2$154bo17bo$153bo18bobo$49bo103b3o16b2o$48b o92bo$48b3o88bobo$140b2o$173bo$79bo91b2o$78bo93b2o$78b3o109bo$188b2o$31bo18bo112b2o17bo6b2o$22bo6b2o18b2o78bo32bo2bo15bo12bo$20bobo7b2o17bo bo78bo3bobo25bo2bo15b3o10bobo6bo$21b2o90bobo5bo6b3o4b2o26b2o29b2o6bo$114b2o3bobo13bo66b3o$114bo5b2o2$70b2o$69bobo$71bo$140b2o50b2o$139bo2bo 48bo2bo$139bo2bo48bobo$9bo130b2o50bo$9bobo172b2o10bobo$9b2o173bobo9b2o$184bo12bo3$58b2o$29bobo17b2o7bobo56bo12bo$30b2o18b2o6bo58b2o9bobo$30b
o18bo66bobo10b2o$122bo50b2o$3o118bobo48bo2bo$2bo117bo2bo48bo2bo$bo119b
2o50b2o3$30b3o$32bo$31bo161b2o5bo$110b3o66bo13bobo3b2o$112bo6b2o29b2o 26b2o4b3o6bo5bobo$111bo6bobo10b3o15bo2bo25bobo3bo$120bo12bo15bo2bo32bo$124b2o6bo17b2o$125b2o$124bo$141b2o$43bo98b2o$44bo96bo$42b3o128b2o$173bobo$173bo$141b2o16b3o$140bobo18bo$142bo17bo2$53b2o121bo$53bobo119b 2o$53bo121bobo$163b2o$162bo2bo$142b3o18bobo$144bo19bo7b3o$143bo28bo$
160b2o11bo$159b2o$161bo$142b2o$143b2o$142bo$171b2o$171bobo$171bo!

Bullet51 wrote:
October 21st, 2019, 9:42 am

(Didn't expect you saying goodbye this soon. Will you return on winter holiday?)
Possibly.

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

GUYTU6J wrote:
March 21st, 2020, 11:40 am
Extrementhusiast wrote:
March 20th, 2020, 8:02 pm
66P13 and its bigger variant in 86 gliders each...
Nice! Is the route a result of something like a retrosynthesis? As a synthesis apprentice I've wondered a lot.
The procedure I use is a bit complicated, although it ultimately boils down to "subdivide and conquer". If the final object isn't stable, I tend to work backwards until I find something much more stable. (If this new object is an oscillator, it's usually either made up of several small separate easily-synthesizable components, or else has a much larger stator than necessary, specifically chosen to allow for the final step to occur. This may happen multiple times.) Once that has happened, I find that I set myself several waypoints between empty space and final object to effectively outline a potential synthesis. I choose them so that from each waypoint, getting to the next waypoint seems nontrivial but still likely. If I can't find a close enough waypoint, I tend to mess around with some of the waypoints to see what sorts of useful transformations can be made, which sometimes leads to unexpected but still useful results. Of course, some waypoints may end up going unused, as some easy-looking transformations can actually be quite difficult. Finding appropriate waypoints is a skill that can really only be improved with practice.
I Like My Heisenburps! (and others)

Kazyan
Posts: 1012
Joined: February 6th, 2014, 11:02 pm

### Re: Synthesising Oscillators

GUYTU6J wrote:
March 21st, 2020, 11:40 am
Nice! Is the route a result of something like a retrosynthesis? As a synthesis apprentice I've wondered a lot.
Extrementhusiast wrote:
March 21st, 2020, 7:43 pm
The procedure I use is a bit complicated, although it ultimately boils down to "subdivide and conquer". If the final object isn't stable, I tend to work backwards until I find something much more stable. (If this new object is an oscillator, it's usually either made up of several small separate easily-synthesizable components, or else has a much larger stator than necessary, specifically chosen to allow for the final step to occur. This may happen multiple times.) Once that has happened, I find that I set myself several waypoints between empty space and final object to effectively outline a potential synthesis. I choose them so that from each waypoint, getting to the next waypoint seems nontrivial but still likely. If I can't find a close enough waypoint, I tend to mess around with some of the waypoints to see what sorts of useful transformations can be made, which sometimes leads to unexpected but still useful results. Of course, some waypoints may end up going unused, as some easy-looking transformations can actually be quite difficult. Finding appropriate waypoints is a skill that can really only be improved with practice.
As a second data point, Extrementhusiast's description is roughly what I did for Bullet's p10, albeit in fewer iterations. I conceptualize the process as a search for finding synthesis predecessors that build motifs that "look hard" out of other motifs that "look easy", which can be taken one at a time like the waypoints idea. Once there are no "hard" areas left, the remaining amount of retrosythesis to do isn't challenging. The main obstacle in Bullet's p10 was constructing the highlighted patch of cells here, for example.

Code: Select all

x = 78, y = 36, rule = LifeHistory
2.A$3.A$.3A3$7.A$8.2A$7.2A8.A48.2A$16.A.A47.A$16.A.A48.A$15.2A.A.2A.A
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4A32.3A14.A$9.A5.A49.4A$8.A7.4A44.A$20.A44.A3C$16.4A39.A8.CD3.A$15.A 41.A.A6.DC2D3.A.A$4.A5.2A4.A3C38.2A6.A3D3.2A$4.2A3.A2.A6.CD44.A.4D$3.
A.A4.2A4.A2C2D43.A$15.A2.CDC.2A31.2A6.A$15.2A.CD2C.A32.2A4.A$16.A.A 36.A5.A14.A$16.A.A41.A6.2A6.2A$.A5.3A7.A42.2A5.A.A5.A.A$.2A6.A57.A$A. A5.A$14.2A48.2A$13.2A48.A.A5.2A$15.A49.A5.A.A$59.2A10.A$60.2A$59.A! Tanner Jacobi Coldlander, a novel, available in paperback and as an ebook. mniemiec Posts: 1193 Joined: June 1st, 2013, 12:00 am ### Re: Synthesising Oscillators 16P2.64 (https://catagolue.appspot.com/object/xp ... 4o15/b3s23) reduced from 27 to 19 gliders: Code: Select all x = 134, y = 31, rule = B3/S23 71bo$72boo$71boo$$49bo4bo50boobo36bo40bo49boobb3o32bobobboo36bobo 84boo3boobboo36boo73bo10boo43bo73boo53bobo29bo42bobo53bobo29boo98b o28bobo91bo45boo28bo9boo33bobobobo4bo38boo28boo8boo33bo5bobboboo 68bobo14bobo25bobo4bobo3obboo34boo38boo8boo28bo5bo11boo28boo38boo9bo 30bobobo11bobo43bobo65bo11bo45boo59bo58bo34bobo21bobo93boo22bobo 82boo10bo23bo73boobboo3boo31boo32b3obboo34boobbobo34bobo34boboo39bo 38bo33bo4bo$$95boo$94boo$96bo!  GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators mniemiec wrote: October 26th, 2016, 10:45 am Kayzan wrote:And, the final step for a lazy glider synthesis: ... This yields a 22-glider synthesis: Code: Select all x = 204, y = 60, rule = B3/S23 12bo40bo3bo43bo$11bo42boobobo40bo$11b3o39boobboo16bo19bo4b3o22bo3boo3b o20bo3boo3bo20bo3boo3bo$74bobo17bobo7b3o17bobobobbobobo18bobobobbobobo
18bobobobbobobo$9bo7bobo39b3o13bo19bo8bo20bo3boo3bo20bo3boo3bo20bo3boo 3bo$10bo6boo40bo40boo3bo$8b3o7bo11bobbo16bobbo6bo9bobbo16bobbo6bobo17b obbo26bobbo26bobbo$30bo19bo19bo19bo9bo19bo29bo29bo$6bo22bo4bo14bo4bo 14bo4bo14bo4bo24bo4bo24bo4bo24bo4bo10boo$4bobo21bobobboo13bobobboo13bo
bobboo13bobobboo23bobobboo23bobobboo10b3o10bobobboo10boo$5boo19boobo 16boobo16boobo16boobo26boobo26boobo15bo10boobo$boo163bo$obo159b3o$bbo
23bobbo16bobbo16bobbo16bobbo26bobbo26bobbo14bo11bobbo$28boo18boo18boo 18boo28boo28boo13bo14boo3$4boo$5boo$4bo9$145bobo$146boo$146bo$150bobo$150boo$151bo$$148bo146bobo147boo3189boo189boo65bo3boo3bo5bo5bo18b o3boo3bo30bo3boo3bo64bobobobbobobo5boo3bobo15bobobobbobobo28bobobobbo bobo65bo3boo3bo5boo4boo17bo3boo3bo30bo3boo3bo29b3o6b3o186bob4obo60b obbo36bobbo12bobbo20bobbo12bobbo20bobbo4b4o4bobbo60bo39bo18bo20bo18bo 20bo7b4o7bo59bo4bo10boo4boo16bo4bo10bo4bo18bo4bo10bo4bo18bo4bo10bo4bo 58bobobboo10boo4bobo14bobobboo10boobbobo16bobobboo10boobbobo16bobobb oo10boobbobo56boobo21bo14boobo20boboo12boobo20boboo12boobo20boboo3 56bobbo36bobbo20bobbo12bobbo20bobbo12bobbo20bobbo58boo22bo15boo20boo 16boo20boo16boo20boo81boo81bobo77bo77boo76bobo!  It can be reduced to 21. Here's a pile of related syntheses: Code: Select all x = 1014, y = 432, rule = B3/S23 316bobo317b2o317bo2331bo324bobo3bo324b2o4b3o317b2o6bo316bobo 318bo2333b3o323b2o8bo323b2o9bo3318b3o6b3o320bob4obo314bo2bo4b4o 4bo2bo314bo7b4o7bo313bo4bo10bo4bo312bobo2b2o10b2o2bobo310b2obo20bo b2o3310bo2bo20bo2bo312b2o20b2o317bo3bo53bo43bo3b2o3bo94bo45bobo61b 2o68b2o68b2o68b2o78b2o78b2o68b2o72b2o80b2o72b2o8b2obobo50bo43bobobo2b obobo8bo82b2o47b2o61b2o68b2o68b2o68b2o78b2o78b2o68b2o72b2o80b2o72b2o 7b2o2b2o46bo4b3o42bo3b2o3bo7b2o84b2o46bo58bobo7b3o56b2o135bobo13b3o 43bo8bo35bo2bo156b2o52b3o6b3o58b3o6b3o58b3o6b3o58b3o6b3o68b3o6b3o68b3o 6b3o58b3o6b3o62b3o6b3o70b3o6b3o62b3o6b3o13bo50b2o3bo34bo25b2o133bo54b ob4obo62bob4obo62bob4obo62bob4obo72bob4obo72bob4obo62bob4obo66bob4obo 74bob4obo66bob4obo4bo2bo6bo39bo2bo6bobo36bo4bo20b2o73bo109bo2bo4b4o4b o2bo50bo2bo4b4o4bo2bo50bo2bo4b4o4bo2bo50bo2bo4b4o4bo2bo60bo2bo4b4o4bo 2bo60bo2bo4b4o4bo2bo50bo2bo4b4o4bo2bo54bo2bo4b4o4bo2bo62bo2bo4b4o4bo2b 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2o2bobo44b2o2bobo46bo75bo3b2o3bo9b3o58bobo66b2o68b2o66b2oo4bo45bo4bo 44bo2bo74bobobo2bobobo70b2o66b2o68b2o66b2o4bo50bo124bo3b2o3bo7bo12b2o 49bobo2bo47bo2bo119b2o19bobo10b2o54bobo175bo2bo17bobo12bo53b2o57b3o 6b3o58b3o6b3o56b3o6b3o197bo68bo53b2o4bob4obo56b2o4bob4obo54b2o4bob4ob o320bo2bo4b4o4bo2bo50bo2bo4b4o4bo2bo48bo2bo4b4o4bo2bo175bob2o84bo64b 4o7bo58b4o7bo56b4o7bo170b2o2bobo84bobo71bo4bo64bo4bo62bo4bo170bo4bo 86b2o56bob2o11b2o2bobo48bob2o11b2o2bobo46bob2o11b2o2bobo174bo140b2o2b obo18bob2o41b2o2bobo18bob2o39b2o2bobo18bob2o65b2o82b2o171bo2bo140bo4b o64bo4bo62bo4bo88b2o82b2o319bo69bo67bo310bobo3bo2bo20bo2bo42bo2bo20b o2bo40bo2bo20bo2bo260bo3b2o3bo41b2o27b2o41bo26b2o39bo26b2o62b3o6b3o 72b3o6b3o259bobobo2bobobo40bo70bobo65bobo85b2o4bob4obo70b2o4bob4obo 260bo3b2o3bo113bo67bo86bo2bo4b4o4bo2bo64bo2bo4b4o4bo2bo255b2o53b3o 233b4o7bo72b4o7bo255bo2bo12bo2bo37bo138bo101bo4bo78bo4bo274bo36bo2b 2o134bobo85bob2o11b2o2bobo62bob2o11b2o2bobo270bo4bo38bobo64b2o2b3o62b 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314bo311bo2bo20bo2bo335b2o54113bo37bo2bo45bo3bo41bo2bo17bo41bo12bo 3b2o3bo94bo45bobo31bo2bo11b2obobo42bo12bo4b3o35bo4bo10bobobo2bobobo8b o82b2o47b2o34bo10b2o2b2o39bo4bo10bobo7b3o31b2o2bobo10bo3b2o3bo7b2o84b 2o46bo30bo4bo54b2o2bobo10bo8bo38bob2o26b2o135bobo30b2o2bobo14b3o41bo b2o13b2o3bo44bo2bo156b2o35bob2o12bo50bo2bo6bobo47bo25b2o133bo42bo2bo 6bo49bo9bo42bo2bo2bo4bo20b2o73bo42bo52bo2bo2bo4bo48b2o3bobo2b2o22bo 70b2o58bo35bo2bo2bo4bo48b2o3bobo2b2o52bobo95bo3b2o55bobo35b2o3bobo2b 2o52bobo58bo60bo2bo33bo60b2o39bobo58bo123bo12bo3b2o3bo9b3o40bo179bo 4bo10bobobo2bobobo220b2o2bobo10bo3b2o3bo7bo12b2o225bob2o24bobo10b2o 33bo2bo232bo2bo17bobo12bo35bo12bo3b2o3bo232bo21bo45bo4bo10bobobo2bob obo225bo2bo2bo4bo63b2o2bobo10bo3b2o3bo225b2o3bobo2b2o68bob2o229bobo 80bo2bo12bo2bo230bo81bo18bo305bo2bo2bo4bo10bo4bo305b2o3bobo2b2o10b 2o2bobo309bobo20bob2o310bo2332bo2bo332b2o3446bo3bo54bo42bo3b2o3bo 94bo47b2obobo51bo42bobobo2bobobo8bo82b2o46b2o2b2o47bo4b3o41bo3b2o3bo 7b2o84b2o98bobo7b3o32b2o21b2o52b3o44bo8bo34bo2bo43b2o7bo41b2o8b2o3b o59b2o43bo2bo6bo40bo2bo6bobo61b2o73bo104bo38bob2o23bo70b2o121bobo 142bobo93bo3b2o121b2o43bob2o47bob2o43bobo95bo125bo71bobo42bobo48bobo 46bo75bo3b2o3bo9b3o58bobo136b2o41bobo48bobo49bo2bo69bobobo2bobobo70b 2o78bo58bo42bo50bo53bo70bo3b2o3bo7bo12b2o49bo72bobo3bo44bo2bo47bo2bo 44bo4bo64b2o19bobo10b2o54bobo66b2o4b3o43bo47bo50bo44b2o2bobo63bo2bo 17bobo12bo53b2o60b2o6bo51bo3bobo43bo4bo45bo4bo48bob2o83bo68bo59bobo 56b3o4b2o43b2o2bobo44b2o2bobo265bo63bo6b2o48bob2o47bob2o110bob2o84bo 135bobo148bo2bo60bobo84bobo79b3o53bo148b2o61bobo86b2o69b2o8bo48bo2b o47bo2bo109bo158b2o9bo37b3o48b2o49b2o113bo2bo204bo8b2o217bo203bo9b2o 213bo4bo147b3o6b3o213b2o2bobo78bo3b2o3bo54b2o4bob4obo218bob2o75bobo bo2bobobo53bo2bo4b4o4bo2bo44b3o6b3o298bo3b2o3bo62b4o7bo40b2o4bob4obo 293b2o82bo4bo39bo2bo4b4o4bo2bo218bo2bo71bo2bo12bo2bo49bob2o11b2o2bobo 46b4o7bo218b2o92bo48bobo18bob2o51bo4bo308bo4bo46bobo59bob2o11b2o2bob o293bob2o11b2o2bobo46bo59bobo18bob2o292bobo18bob2o46bo2bo15bo2bo34bo bo291bobo72bo15b2o37bo292bo69bo4bo55bo2bo15bo2bo294bo2bo15bo2bo45b 2o2bobo57bo15b2o297bo15b2o52bob2o51bo4bo293bo4bo123b2o2bobo293b2o2b obo127bob2o298bob2o65bo2bo367b2o427bo2bo298bo2bo125b2o298b2o!  Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. Freywa Posts: 718 Joined: June 23rd, 2011, 3:20 am Location: Singapore Contact: ### Re: Synthesising Oscillators p35 honey farm hassler in 16 gliders: Code: Select all x = 125, y = 32, rule = B3/S23 109bo107b2o15bo108b2o12b2o119bo3b2o117b2o101bo16b2o102b2o 101b2o6bo110b2o5bo105b2o3b2o5b3o102b2o6boobo109bob2o37b2o57b 2obo37bobo56bobo39bo58bo38b2o57b2o110b2o110bo52bo55bobo51b 2o55b2o51bobo42bo46b3o41bo6b2o48bo42b2o3b2o47bo42b2o106b2o 105b2o89b2o16bo90b2o84b2o3bo85b2o12b2o84bo15b2o99bo! Princess of Science, Parcly Taxel GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators Moosey wrote: October 4th, 2019, 3:58 pm [discovery of R49] It suggests a p98: Code: Select all x = 46, y = 46, rule = B3/S23 39bo13b2o22b3o14bo14b2o5bo13bo13b3obo4b2o13b2o11bo4bo27b3obob2o 2o27bobo2bobo30b2obobo2b2o26bo16bo14b2o5b2o9b2o14b2o5bobo26bo7b o21b5o7b2obo3b4o25bo8bob2o2bo2b2ob2o27b2o3bobo28b2o3bobo4bo741b o40bobo10b2o28bobo10b2o27b2ob2o43bob2obo8bo25b4obob2o7b5o21bo 11bo26bobo12b2o14b2o9b2o13b2o14bo15bo26b2o42bobo12b2o30bo11bo2bo bo27b2o11b2obob3o14bo4bo11b2o8b2o4bob3o13bo9bo5b2o14bo6b3o22b2o 6bo!  70G for the variant with 4 eater 1's, and 69G for the p196 Herschel loop: Code: Select all x = 754, y = 144, rule = B3/S23 39bo82bo74b2o95bo111bo66bobo103bo52bo39bobo79bo73b3obo95b2o2bo105bo 68b2o101b3o50bobo31bo7b2o64bo15b3o70bo4bo2bo91b2o3bobo103b3o66bo24bo 69b2o5bo54b2o7bo32b2o72bo88b3obobobo95b2o181bo14b3o67b3obo4b2o60b2o 31b2o71b3o90bobob2o278bo7b2o5bo69bo4bo67b2o22bo198bo204b2o76b3o3b3obo 4b2o69b3obob2o86b3obo175bo224bo2bo80bo4bo48b2o27bobo2bo78b2o5bo2bo 174bobo23b3o196bo2bo67bo13b3obob2o46bo30b2o77b3obo4b2o3o170bo3b2o17b 2o5bo199b2o55b2o9bobo15bobo2bo46bobo106bo4bo172bobo20bobo6bo189bo66bo 10b2o18b2o48b2o107b3obob2o120b2o51b2o22bo197b2o64bobo92b2o66b2o27bobo 2bo13bo113bo5bobo272b2o66b2o81b2o9b2o67bo30b2o13bo113b2o4bo51b4o370b obo77bobo43b3o107b3o2bobo3b2o50bo4bo114b2o173b2o80bo78b2o3bo78bo26bo 60b2ob2o3b3o107b3obo172bobo75b4o93b2o3b2o75bobo25bo62bobo4bo108bo4bo 174bo74bo86b2o9b2o2bobo76b2o7b2o79bobo5bo72bo35b3obob2o167b4o75b2ob2o 82bobo90bo81bo80bo36bobo2bo98b2o66bo80bobo27bo57bo21b2o91b3o157b3o 39b2o57bo39b3obo65b2ob2o76bobo25bobo53b4o21bo2bo14bo93bo256bobo38bo4b o66bobo78bo18b2o7b2o52bo26b2o14b2o351b2o3b2o34b3obob2o63bobo96bobo61b 2ob2o38bobo251bo103bo2bo35bobo2bo64bo99bo11bo50bobo17b3o251b2o13b2o 87bo2bo38b2o175b2o51bobo19bo92b2o156bobo13bobo87b2o217b2o51bo19bo91b 2o40bo75bo58bo93bo39bobo66bo5bobo53b4o133b2o68bo4bobo52bo106b2o209bo 124bo76b3o3b2ob2o51b2ob2o102bobo207bobo93b2o27bobo81bo4bo52bobo105bo 128bo78bobo47b2o93bobo27b2o82b4o53bobo93bo7b4o128bobo76b2ob2o47b2o 93bo171bo94b2o5bo132bobo80bo46bo34bo43bobo37b2o99bo22b2o150bobo5b2ob 2o127b2ob2o75b4o81bobo43b2o37bobo39bo52bo6bobo20bobo158bobo132bo74bo 60b2o23bobo44bo39bo40b2o51bo5b2o17b2o3bo159bobo128b4o75bobo41bobo14bo bo21b2ob2o124b2o50b3o23bobo164bo128bo69b2o9b2o42b2o14bo27bo204bo293b obo67b2o53bo39b4o183bo315b2o81b2o45b3o30bo179b2obobo117bo279bobo46bo 30bobo124bo53bobobob3o114bobo198b2o48b2o30bo45bo21b2o9b2o45b3o76b3o 52bo2bo4bo113bobo198bobo46bo2bobo27b2o66b2o45bo81bo54bob3o113b2ob2o 167b2o18b2o10bo46b2obob3o107b2o46bo79b2o7b2o46b2o119bo101bo64bo2bobo 15bobo9b2o48bo4bo60b3o43bobo109bo25bobo162b4o101bobo63b2obob3o13bo55b 2o4bob3o63bo13b2o30bo15b2o91bo26bo163bo105bobo66bo4bo69bo5b2o64bo13bo 2bobo27b2o14b2o82b2o3bobo2b3o188bobo13bobo86b2ob2o5bobo51b2o4bob3o3b 3o61b3o86b2obob3o7b2o7bo81bo4b2o195b2o13b2o91bo5b2o53bo5b2o7bo61bo91b o4bo6bobo87bobo5bo211bo87b4o7bo50b3o14bo148b2o4bob3o8bo87b2o305bo62b o24bo141bo5b2o403bobo84b2o138b3o273b2o39b3o87b2o84bobo137bo22b2o 272bo2bobo36bo339b2o272b2obob3o35bo337bo7b2o275bo4bo137b2o241bobo 111b3o161bob3o97b2o38bo2bo240bo111bo164b2o98bo2bobo35bo2bo94b3o15bo 263b2obob3o34b2o3b2o96bo282bo4bo38bobo95bo283bob3o39bo380b2o6267b 2o111b2o266bobo3b2o105b2o268bo2b2o108bo273bo97b2o370bo2bo370bo2bo 371b2o3368b3o370bo369bo15659bo52bo657b3o50bobo649b2o5bo54b2o7bo 647b3obo4b2o60b2o646bo4bo67b2o22bo647b3obob2o86b3o620b2o27bobo2bo 78b2o5bo621bo30b2o77b3obo4b2o621bobo106bo4bo622b2o107b3obob2o636b 2o66b2o27bobo2bo13bo625b2o9b2o67bo30b2o13bo625bobo77bobo43b3o627bo 21b2o55b2o623b4o21bo2bo68b2o622bo26b2o58b2o9b2o622b2ob2o82bobo623b obo85bo21b2o623bobo81b4o21bo2bo14bo624bo81bo26b2o14b2o706b2ob2o38bo bo707bobo17b3o707bobo19bo708bo19bo3661bo660bobo629b3o3bo24bobo 621bo9bo2b2o23b2ob2o621b2o7bo3bobo26bo61bo19bo620bobo36b4o61bo19bobo 658bo65b3o17bobo658bobo41bobo38b2ob2o648b2o9b2o42b2o14b2o26bo648b 2o53bo14bo2bo21b4o662b2o55b2o21bo662bobo77bobo632b2o30bo67b2o9b2o 631bo2bobo27b2o66b2o631b2obob3o107b2o634bo4bo60b3o43bobo628b2o4bob 3o63bo13b2o30bo629bo5b2o64bo13bo2bobo27b2o626b3o86b2obob3o626bo91bo 4bo712b2o4bob3o713bo5b2o710b3o710bo22b2o734b2o733bo7b2o741bobo 741bo!  EDIT: Wait, the last step is invalid. Will fix that later. Fixed: (it is really hard to find a suitable 3G R-pentomino among the recipes provided by synthesis_patt) Code: Select all x = 60, y = 54, rule = B3/S23 15bo13bobo14b2o7bo21b2o22b2o22bo44b3o36b2o5bo34b3obo4b2o13bo 33bo4bo18bo34b3obob2o15b3o7b2o27bobo2bo8bo30b2o8bobo9b2o23b2o 12b2o9b2o12bobo14bo10b4o36bobo9bo26bobo3bo7b2o9b2ob2o23b2o2bo9bo 10bobo24bo3b3o12bo10bobo42b2o11bo43bobo226b2o25bobo4bo27bo4bobo 32b2o22bobo43bo3b2o42bobo3bo12b3o3bo24bobo8bo9bo2b2o23b2ob2o8b2o 7bo3bobo26bo7bobo36b4o45bo45bobo35b2o9b2o35b2o49b2o49bobo19b2o 30bo18bo2bobo27b2o3o15b2obob3o2bo18bo4bobo13b2o4bob3o16bo5b2o13b 3o13bo22b2o37b2o36bo7b2o44bobo44bo!  Why, for some reason catagolue does not admit it in the immediate update? EDIT2: related, a SL-supported p246 bookend hassler (?) in 31G, idea from A for awesome: Code: Select all x = 312, y = 69, rule = B3/S23 8bo69bo68bo77bo67bo8bo8bobo66bo70b2o2bo71bo66b3o6b3oo7b2o51bo15b3o 67b2o3bobo69b3o56b2o5bo8bob2o59bo89b2o127b3obo4b2o7b2o2o58b3o217bo4b o222b2o57b3obob2o221bo2bo58bobo2bo221bo2bo61b2o222b2o156bobo54bo 76b2o79b2o55b2o69bo5bobo79bo55b2o69b2o4bo63b3o2bobo3b2o67b2o65bo 75b3obo64bo75bo4bo86bo141b3obob2o81b3o65bo143bobo2bo5b3o56b2o14bo 66b2o146b2o8bo54b3obo13b2o66b2o155bo54bo4bo211b3obob2o72bobo213bob o2bo72b2o84b3o129b2o74bo63b2o19bo62bobo20bo202bo64bo38bo184b2o82b o20bobo181bobo83bo19b2o81b3o3304b2o303bo2bobo303b2obob3o306bo4bo 103bo187b2o7b2o4bob3o22b2o78bo189bo8bo5b2o21b2o69b2o3bobo2b3o184b3o 6b3o14b2o7bo68bo4b2o190bo8bo13bobo74bobo5bo15bo74b2o156bo155bo8b 2o155b3o5bo2bobo163b2obob3o166bo4bo105b3o58bob3o63b2o105bo61b2o 64bo2bobo88b3o15bo126b2obob3o90bo63bo81bo4bo89bo63b2o66b2o13bob3o 153bobo66bo14b2o219b3o219bo4158b2o77b2o157bobo3b2o71b2o159bo2b2o 74bo164bo63b2o227bo2bo227bo2bo228b2o3225b3o227bo226bo!  Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. Freywa Posts: 718 Joined: June 23rd, 2011, 3:20 am Location: Singapore Contact: ### Re: Synthesising Oscillators GUYTU6J wrote: April 8th, 2020, 9:36 pm 70G for the variant with 4 eater 1's, and 69G for the p196 Herschel loop: EDIT: Wait, the last step is invalid. Will fix that later. Fixed: (it is really hard to find a suitable 3G R-pentomino among the recipes provided by synthesis_patt) I have a file of useful syntheses of common objects, and one of those syntheses for the R-pentomino just turned out to fit snugly, with zero half-diagonals of clearance. The blocks can also be inserted with two gliders, again with 0hd clearance. So, p98 and p196 in 66 and 65 gliders: Code: Select all x = 204, y = 58, rule = B3/S23 198bo196b2o186bo10b2o187bo185b3o26bo78bo78bo6b3o76b3o76b3o9bo5b 2o71bo5b2o71bo5b2o8b2o4bob3o68b2o4bob3o68b2o4bob3o9bobo14bo4bo73bo4b o73bo4bo9b2o3bo11b2obob3o71b2obob3o71b2obob3o10bo3bo11bo2bobo27b2o 44bo2bobo27b2o44bo2bobo16b3o8b2o12b2o30bo46b2o30bo46b2o15bo14bo42bob o33bo42bobo64bo11bobo42b2o32bobo42b2o63b3o11b2o77b2o39b2o77b2o39b2o 36b2o38bobo76bobo39bo36bobo38bo40b2o36bo42b3o33bo39b4o37b2o36b4o40b o34b4o10bo32bo35bo42bo78bo11bo27b2ob2o45b2o27b2ob2o45b2o27b2ob2o9b 3o28bobo46b2o28bobo46b2o28bobo5b2o33bobo76bobo76bobo6b2o33bo78bo78bo 5bo540bo4bo33b2o43bo78bo3bobo33b2o41bobo76bobo3bobo28b3o45bobo28b 2o46bobo28b2o2b2ob2o27bo46b2ob2o27b2o45b2ob2o27b2o2bo32bo45bo42bo35b o3b4o75b4o36b2o37b4o34bo7bo78bo36b2o40bo33b3o5bobo76bobo76bobo36bo 5b2o77b2o77b2o36b2o125b2o2b2o77b2o42bobo32b2o11b3obobo76bobo42bo33b obo11bobo30b2o46bo30b2o46bo14bo15b2o2o27bobo2bo44b2o27bobo2bo44b2o8b 3o16bobo2bo27b3obob2o71b3obob2o56bo3bo10b3obob2o26bo4bo73bo4bo58bo3b 2o9bo4bo27b3obo4b2o68b3obo4b2o56bobo9b3obo4b2o29b2o5bo71b2o5bo71b2o 5bo37b3o76b3o76b3o39bo78bo78bo2174b3o174bo163b2o10bo164b2o163bo ! Princess of Science, Parcly Taxel GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators Freywa wrote: April 10th, 2020, 6:30 am ...p98 and p196 in 66 and 65 gliders:... Great! May I beg for some Freywal advice on synthesizing Metamorphosis II? --- BTW p22 lumps of muck hassler variant with blocks in 32G (didn't submit to catagolue) Code: Select all x = 271, y = 40, rule = B3/S23 186bo184b2o185b2o249bo250bo248b3o176bo177bo78bo83bo78b2o11b3o 64b2o13b2o83bobo77bo79bo12b2o83b2o78bobo17bo59bobo3b2o164b2o7b3o8bo 59b2o3b2o80bo92bo8b3o81b2o91bo12bobo80b2o105b2o71b2o3b2o90bo97bo 71b2o3bobo20bo68b2o162b2o12bo20bobo66bobo160b2o13b2o20b2o232bo15bo 231bo13bobo232bo11b3o14b2o230b3o11bo76b2o78b2o78b2o23bo4b4o76b2o 78b2o78b2o28bo3bo245b2o19bo245bobo19bo2bo245bo22o7bo5b2o43b2o7bo5b 2o63b2o7bo5b2o63b2o7bo5b2o13bobo6b3o3b3o44bo6b3o3b3o64bo6b3o3b3o64bo 6b3o3b3o12b2obobo6bo2b2o2b2o42bobo6bo2b2o2b2o62bobo6bo2b2o2b2o62bobo 6bo2b2o2b2o10bobo2b2o4b2o2b5ob2o42b2o4b2o2b5ob2o62b2o4b2o2b5ob2o62b2o 4b2o2b5ob2o10b3obobo2bo50b3obobo2bo70b3obobo2bo70b3obobo2bo23bo7bo2b obob3o50bo2bobob3o70bo2bobob3o70bo2bobob3o25b2o7b2ob5o2b2o4b2o42b2ob 5o2b2o4b2o62b2ob5o2b2o4b2o62b2ob5o2b2o4b2o17bobo8b2o2b2o2bo6bobo42b2o 2b2o2bo6bobo62b2o2b2o2bo6bobo62b2o2b2o2bo6bobo10b3o3b3o6bo44b3o3b3o6b o64b3o3b3o6bo64b3o3b3o6bo10b2o5bo7b2o43b2o5bo7b2o63b2o5bo7b2o63b2o5bo 7b2o20bo266b2o266bobo!  Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators The eater 3 variant is reduced by 2 gliders: Code: Select all x = 61, y = 62, rule = B3/S23 58bobo58b2o59bo1527bobo28b2o28bo4bobo33b2o34bo230bo31b2o25b 2o3b2o25b2o17bo18b2o18bo17b2o18bobo23bobo12b2o24b2o24bo19b2o 20b2o19bo229bo28bobo29b2o192ob2oo!  Which can be used in this 50G p133 rectifier loop synthesis: Code: Select all x = 545, y = 93, rule = B3/S23 7b3o61b2o56bo84bo163bobo98bo7bo63bo58b2o9b2o70bo164b2o100b2o2o6bo60b obo57b2o10bo71b3o163bo99b2ob2o66b2o68bobo69boo138b2o71bo24bobo104b 2o77b3o24b2o24b2o106b2o103bo16b3o6bo54b2o49bo103bobo240b2o16bo63bo 69b2o72bo10b2o240bo2bo9b2o6bo60bobo69bo72bobo252b3o10b2o66b2o68bobo 73b2o9bo138b2o326b5o246b2o227bo4bo20b2o210bobo33bo227bo2bo23bo84bo 126b2o31bobo224bo2bob2o21bobo83bobo68bo56bo32b2o224bobobo6bo17b2o83b obo67bobo314bobobo5bo28bo55bo68bobo70b2o119bobo121b2ob2o4b3o27b2o 125bo58bo12b2o120b2o27bobo30bobo151bo35bo97bo4bobo123b2o29b2o61b2o 149b3o34bobo101b2o123bobo29bo61bo58b3o50bo43bo31bobo102bo125bo27bobo 122bo49bo44b2o31bo257b2o121bo50b3o41bobo131bo351b2o137b2o345b2o3b2o 19b2o117b2o140bo204b2o24bo142bo80bo58bobo195bo31bobo141bobo78b2o59b obo196b2o18bo10b2o142bobo72bo6b2o59bo127bobo66b2o18bobo154bo73bo162b o31b2o73bobo12b2o64bo6b3o161bobo31bo74b2o64b2o169bobo34b3o69bo35b2o 52bo63bobo79b2o89bo35bo66b2o39bo51b2o89bo54bobo112b2o12bo66b2o36bobo 52b2o87b2o55bo114b2o78bo38b2o81bo6b2o53b2o82bo80bo77b2o32bo73bo10b 2o138bo80b3o78b2o77bobo31b2o72bobo9b2o137bobo162b2o76bo33bobo72b2o 33bo114bobo154b2o83b2o142bobo114bo153bobo227bobo137b2o153bo10b2o95b 2o121bo138b2o152b2o9b2o96bobo165bo84b2o10bo242b2o249bobo252bobo27bo 249bo254bo29bobo248b2o24b3o226b2o29b2o274bo275bo256b3o4b2ob2o271b 3o96bo163bo5bobobo273bo95bobo142b2o17bo6bobobo272bo96bobo141bobo21b 2obo2bo370bo33b2o107bo23bo2bo393b2o9bobo105b2o20bo4bo393b2o10bo128b 5o2375b2o38bo118b3o320b2o52bobo36b2o119bo2bo321b2o51bo39b2o119b2o 320bo52b2o35bo409b2o395b2o12bobo395bobo18b2o384b2o10bo18b2o117b2o 383bobo31bo115b2o383bo24b2o125bo382b2o19b2o3b2o402b2o404bo2400bo 400b2o399bobo4bo405b2o405bobo15375bo375b2o374bobo!  EDIT: Ooops, sorry, Freywa, I didn't know that you've already made a p106 rectifier loop. EDIT2 on 4.13: continuing to waste 47 gliders, p504 Herschel loop with four R126s: Code: Select all x = 324, y = 70, rule = B3/S23 19bo84bobo89bo101bo17b2o86b2o48b2o37b3o99b2o18b2o85bo50bo36bo103b2o 156bobo34b2o10bo146b2o18b2o11bo166bo96bo9b3o166bobo92bobo179b2o93b 2o21bo296bo94b2o12bo187b3o70b2o23bo11bo3bo67b2o22bobo9b3o2bo67bo 7b2o16b2o6bo88bo2b3o23b2o48bobo22b2o87bo28bobo47bo24bobo86b3o90bobo 26bo254bobo2o282b2oobo158b2o31bo79bo46bo162bo30b2o80bo45bobo159b3o 31bobo77b3o45b2o159bo43bo202bo100bo78b2o122b3o57b2o37b3o79bo183bo 36bo6bobo76b3o184bobo34b2o5b2o5b2o69bo123b2o6bo55b2o4b3o11b2o22bo6b 2o11bo180bobo4b2o63bo12bo5bo11b2o181bo6bobo61bo13bobo18b2o266b2o8b 2o148b2o8bobo147bobo8bo149bo126bo151b2o133bo150bobo131b3o12b2o 152bo145bo2bo172b2o124bo2bo172bobo75bobo6bo39b2o174bo10bo65b2o4bobo 81bobo90b2o8bo66bo6b2o8b2o82b2o74b2o24b3o82bo82bo6b2o68bo106b3o77b 3o9bobo64b3o96b3o8bo41b2o79bo11bo64bo100bo50bobo78bo12b2o163bo52b2o 296bo170b3o14b3o106bobo172bo14bo108b2o171bo3b2o11bo73b2o28b2o175bo bo83bo2bo26b2o175bo86b2o29bo17bobo81bo229b2o80b2o230bo80bobo87b2o 171b2o116bo170bo117b2o288bobo279b2o279bobo281bo281b2o265b2o46bo 266bo22bo22bo263b3o22bobo21b3o263bo24bobo289bo314bo313b2o5b2o 283b2o28bobo4bobo282bobo35bo282b2o!  Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators Now for something different, one of the p29 pre-pulsar hasslers with eater 4 in 29G: Code: Select all x = 93, y = 44, rule = B3/S23 10b2o68b2o10bobo67bobo12bo69bo8b4ob2o63b4ob2o8bo2bobobo62bo2bobobo 13bobo67bobo13bo2b2o65bo2b2o12b2o4bo63b2o4bo14b5o65b5o14bo4b2o50b o12bo4b2o6bo10b2o2bo48bobo14b2o2bo7b2o9bob2o49bo16bob2oo5b2o10bo69b ob2o14b2o68b2o2o64bo4b3o58bo11b2o6b2o6bo56b3o10bobo6b2o5bo11b2o 59bo17bobo49b3o17bo45bo7bo11b2o50b2o5bo7b3o10bobo49bobo13bo12bo 66bo360b3o62bo61bo471b2o12bo72b2o5b2o3b2o71bo6bobo3bobo80bo6 90b3o90bo91bo!  Planning to do others. EDIT on 4.17: 23G p184 gun stabilization with clocks: Code: Select all x = 202, y = 45, rule = B3/S23 26bo72bobo74bo27b2o71b2o72b3o26b2o72bo72bo173b2o2101bo77bo100bo 76b2o36bobo61b3o76b2o36b2o70bo69bo37bo70bobo98bobo6bobo64b2o23bo 40bobo56b2o8bo63b2o24bobo40b2o57bo65bobo7bo23b2o41bo124b2o2b2o166bo 3bobo21bo170bo21b2o193b2o32b2o32bobo32bo193b3o193bo194bo152b 2o151bobo12bo93bo44bo39bo11bo70b2o22bobo41b2o38b2o11b3o67bobo22b2o 48bo33boboobo78bo74bobob2o35b2o40b2o73bobobo35b2o48bo69bo39bo45b2o 80b2o87b2o79bo86bo78b3o165bo210bo10bobo9bobo11bo3104b2o103b2o 105bo!  39G p40 traffic jam: Code: Select all x = 307, y = 34, rule = B3/S23 2b2o81bo101bo113bob3o82b2o99bobo109b2oobo2bo2b2o75b2o91bobo6b2o7bo 86b2o15b2o2o2b2o2b2o169b2o15bobo83bo2bo4b2o173bo11bobo2b2o84bobobo 191b2o64b2o24bob3o16bobo77b2o17bo61b2o32bo63b3o26b3o16b2o76b3o18bo 59b3o95bobo2bo2b2o40bo75bobo2bo2b2o10b3o58bobo2bo2b2o28b3o39bo6bo11b 2o2b2o2b2o31bo43b2o2b2o2b2o6b2o63b2o2b2o2b2o28bo42bo6bo14b2o9b3o31bo bo45b2o9bobo67b2o9b3o21bo39b3o4b3o31b2o59bo175bo5bo169bo5bo92bo5bo2b 3o4b2o169bo5bo2b3o87bo5bo9bobo169bo5bo63b2o43bo12bo25bo214b2o22b3o 3b3o22b2o23b2o140b3o3b3o65bo12bo43b2o24b2o224bobo9bo5bo163bo5bo81b 2o4b3o2bo5bo20b3o135b3o2bo5bo92bo5bo20bo142bo5bo122b3o4b3o21bo57b2o 2b2o179b3o9b2o14bo6bo78bobo2bobo10b2o45bo21b3o9b2o93b2o2b2o2b2o11bo6b o80bo2bo8b2o2b2o2b2o42bo28b2o2b2o2b2o48bo40b2o2bo2bobo92b2o2bo2bobo 40b3o28b2o2bo2bobo48b2o16b3o26b3o98b3o78b3o48bobo16b3obo24b2o98b2o 46bo32b2o69bobobo146b2o103bo2bo14b3o124b2o2bobo11bo75b2o15b2o16bo 73b2o48bobo15b2o76b2o15bo74bobo49bo7b2o6bobo74bo27bo43bo18bo58bobo 26b2o43b2o78bo26bobo41bobo!  Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators My 1000th post for an expensive 78G p29 pentadecathlon hassler (nonacosathlon?): Code: Select all x = 715, y = 85, rule = B3/S23 66bo83bo65bo83bo65b3o81b3o2146b2o146b2o2163bo91bo164bo88b2o162b 3o89b2o140b2o34b2o62b2o34b2o52b2o34b2o52b2o34b2o62b2o34b2o95b2o34b2o 139bobo34bobo60bobo34bobo50bobo34bobo50bobo34bobo60bobo34bobo93bobo34b obo139bo38bo60bo38bo50bo38bo50bo38bo60bo38bo93bo38bo137b2ob4o30b4ob 2o56b2ob4o30b4ob2o46b2ob4o30b4ob2o46b2ob4o30b4ob2o56b2ob4o30b4ob2o89b 2ob4o30b4ob2o136bobobo2bo30bo2bobobo54bobobo2bo30bo2bobobo44bobobo2bo 30bo2bobobo44bobobo2bo30bo2bobobo54bobobo2bo30bo2bobobo87bobobo2bo30bo 2bobobo136bobo40bobo54bobo31b2o7bobo44bobo7b2o22b2o7bobo44bobo7b2o22b 2o7bobo54bobo7b2o22b2o7bobo87bobo7b2o22b2o7bobo134b2o2bo40bo2b2o50b2o 2bo31b2o7bo2b2o40b2o2bo7b2o15b2o5b2o7bo2b2o40b2o2bo7b2o5b2o8b2o5b2o7bo 2b2o50b2o2bo7b2o5b2o8b2o5b2o7bo2b2o83b2o2bo7b2o5b2o8b2o5b2o7bo2b2o 133bo4b2o38b2o4bo48bo4b2o38b2o4bo38bo4b2o24bo13b2o4bo38bo4b2o13bo10bo 13b2o4bo48bo4b2o13bo10bo13b2o4bo81bo4b2o13bo10bo13b2o4bo133b5o42b5o 48b5o25b2o15b5o38b5o15b2o9bobo13b5o38b5o13bobo10bobo13b5o48b5o13bobo 10bobo13b5o81b5o13bobo10bobo13b5o131b2o4bo42bo4b2o44b2o4bo24bobo15bo 4b2o34b2o4bo15bobo9b2o13bo4b2o34b2o4bo13b2o12b2o13bo4b2o44b2o4bo13b2o 12b2o13bo4b2o77b2o4bo13b2o12b2o13bo4b2o31bobo96bo2b2o48b2o2bo42bo2b2o 29bo3bo14b2o2bo32bo2b2o14bo3bo29b2o2bo32bo2b2o48b2o2bo42bo2b2o48b2o2bo 75bo2b2o48b2o2bo32b2o33b2o61b2obo50bob2o42b2obo33b2o15bob2o32b2obo15b 2o24bo8bob2o32b2obo50bob2o42b2obo50bob2o75b2obo50bob2o32bo13bo20bobo 52bo10bo50bo48bo33bobo14bo38bo14bobo24bo8bo38bo34b3o3b3o7bo48bo5b3o12b o7bo5b3o3b3o7bo81bo5b3o3b3o6bo7bo5b3o3b3o7bo47bo21bo50bobo10b2o48b2o 48b2o48b2o38b2o40bo7b2o38b2o48b2o48b2o19bo7bo20b2o81b2o19bo7bo20b2o 45b3o17b4ob2o49b2o36b3o95b2o275bo7bo124bo7bo65bo2bobobo88bo94b2o70bo bo51b2o34bo97bo29bo40bo2b2o49b2o319b3o29b2o14b2o22b2o4bo205b2o82b2o 78bo73b2o28bobo14bobo23b5o205bobo81bobo73b2o3bo73b2o19bo25bo25bo4b2o 203bo83bo74bobo76bo9bo129b3o5b3o20bo18b3o32b2o2bo192b3o81b3o84bo85b2o 131bo7bo18b3o20bo33bob2o194bo83bo51bo118bobo116b2o4b2o5bo7bo7b2o4b2o 40bo34bo196bo83bo52b2o237b2o4b2o21b2o4b2o74b2o332bobo236bo5bo22bo5bo 427b2o426b2o260b2o22bobo403bo260b2ob3o23b2o663bo3bo23bo425b3o221bo 19bo4b2o449bo192b2o4b2o23b2o22b2o15b3o15bobo3bo381b2o27bo192b2o4b2o 21bobo24bo17bo16b2o2bo381bobo219bo5bo16bo17bo3b3o381bo4635b2o4b2o 22b3o634bobo3bobo24bo636bo5bo23bo2668b2o669b2o31b3o659bo8bo33bo 628bo5bo24b2o42bo628b2o4b2o22bobo627bobo3bobo6686b3o3b3o686bo5bo 687bo5bob2oobo617bo62b3o2bo617b2o61bo615b2o2bobo62bo14bo614bobo 81b2o616bo81bobo6705b3o705bo706bo2703b2o610b3o89b2o612bo91bo8bo 611bo100b2o712bobo!  There's still a long way to a recipe for p58 toadsucker. Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. Goldtiger997 Posts: 628 Joined: June 21st, 2016, 8:00 am ### Re: Synthesising Oscillators 4xN block arrays can now be synthesised: Code: Select all x = 1290, y = 91, rule = B3/S23 763bo764bo762b3o2909bo907bobo25bo908b2o25bobo935b2o762bo167bo 763bo166bobo761b3o166b2o21278bo1276b2o1277b2o2770bobo771b2o771b o488bo25bo843bo238bo178bo16bobo3b2o844bo235b2o177b3o16b2o5b2o769bo 72b3o236b2o196bo52bo46bo596bo73b2o6bobo53b2o42b2o595bobo25bo46b2o7b 2o492bo52b2o44b2o595b2o3bo21bobo54bo408bo81bobo12bo220bo65bo414bo20b 2o405bo59b2o6bo73b2o10b2o218bobo66b2o410b3o425bobo58b2o7bobo58bo25b2o 51bo48bo118b2o65b2o427bo412b2o67b2o57bobo6b2o49bobo48bobo191bobo9bo 407bo418bo123b2o5bo2bo19bo50b2o48b2o192b2o10bobo405b3o416bobo128bo2bo 18bo295bo10b2o825b2o66b2o62b2o4b2o13b3o1201b2o68b2o648bo348bo6bo 647bo273b2o63bo4b2o4bobo4bobo49bo4b2o3bo59bo4b2o3b2o58bo4b2o3b2o58bo4b 2o3b2o228bobo416b3o132bo64b2o3bo64b2o2bo64b3o2bo5b2o5b2o50b3o2bo3bobo 58b3o2bo3bo2bo57b3o2bo3bo2bo57b3o2bo3bo2boobo58bo28bo137b2o421b2o125b 2obobo63bobobobo63bobobo67bobo9bo57bobo3b2o62bobo3b4o60bobo3b4o60bobo 3b4o2o57bobo28bobo136bo65bo355bobo124b2ob2o65b2ob2o65b2ob2o65b2ob2o7b o57b2ob2o65b2ob2o65b2ob2o65b2ob2obo58b2o9bo8bo9b2o199b2obobo354bo63b 2o68b2o68b2o68b2o68b2o3b3o62b2o68b2o68b2o68b2o72b2o4b2o146b3o62b2ob2o 68b2o68b2o68b2o68b2o68b2o68bo2bo66bo2bo66bo2bo8b3o55bo2bo66bo2bo66bo2b o66bo2bo66bo2bo66bo2bo10bo71b2o6b2o145bo136bobo67bobo67bobo67bobo67bo bo67bobobo65bobobo65bobobo8bo56bobobo19b2o44bobobo65bobobo65bobobo65bo bobo65bobobo9bo142b2ob2ob2o62b2ob2ob2o7bo54b2ob2ob2o62b2ob2ob2o3bo58b 2ob2ob2o3bo58b2ob2ob2o3bo58b2ob2ob2o3bo58b2ob2ob2o3bo58b2ob2ob2o3bo2bo 55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo10bo44b2ob2ob2o3bo2bo19b2o34b2ob2ob 2o3bo2bo55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo55b2ob2ob2o 3bo2bo10b3obo140b2ob2ob2o14bo47b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob 2o2b2o19bo38b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o 58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o24bo33b2ob 2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o b2o70b2o2b2o84bo58bo69bo69bo18b2o49bo69bo69bo69bo69bo69bo69bo69bo69bo 69bo21b2o46bo69bo69boobo3bo66bo4bo63b2ob2ob2o13b3o46b2ob2ob2o3b3o56b 2ob2ob2o3b3o56b2ob2ob2o3b3o16b2o38b2ob2ob2o3b3o56b2ob2ob2o3b3o13bo42b 2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b 3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o18bobo35b2ob2ob2o3b3o 56b2ob2ob2o3b3o56b2ob2ob2o3b3o5b2o67b4o64b2ob2ob2o11bo50b2ob2ob2o5bo 56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo13bobo40b2ob2o b2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2o b2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo18bo37b2ob2ob2o5bo56b2ob2ob2o5bo56b 2ob2ob2o5bo5bobo152b2o147b2o208b2o74b4o64b2ob2ob2o10bobo49b2ob2ob2o 62b2ob2ob2o19bobo40b2ob2ob2o11bobo48b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2o b2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2o b2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2ob2o5bo56b2ob2o b2o5bo73bo4bo63b2ob2ob2o62b2ob2ob2o62b2ob2ob2o19bo42b2ob2ob2o11b2o49b 2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b 3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2o b2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o56b2ob2ob2o3b3o2bo70b2o2b2o293bo 59bo69bo69bo69bo69bo69bo69bo69bo69bo69bo69bo69bo69bo2b2o138b2ob2ob2o 62b2ob2ob2o62b2ob2ob2o62b2ob2ob2o15b3o44b2ob2ob2o2b2o58b2ob2ob2o2b2o 58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob 2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b2ob2ob2o2b2o58b 2ob2ob2o2b2o58b2ob2ob2o2b2obobo138b2ob2ob2o62b2ob2ob2o62b2ob2ob2o62b 2ob2ob2o15bo46b2ob2ob2o7bo54b2ob2ob2o62b2ob2ob2o3bo58b2ob2ob2o3bo2bo 55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo 55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo55b2ob2ob2o3bo2bo 55b2ob2ob2o3bo2bo8bo71b2o6b2o295bo59bo136bobo67bobobo65bobobo65bobobo 65bobobo65bobobo65bobobo65bobobo65bobobo65bobobo65bobobo6b2o72b2o4b2o 356b3o62b2ob2o68b2o68bo2bo66bo2bo66bo2bo66bo2bo66bo2bo66bo2bo66bo2bo 66bo2bo66bo2bo66bo2bo6bobo60b2o9bo8bo9b2o409b2obobo74bo63b2o68b2o68b 2o68b2o68b2o68b2o3b3o62b2o68b2o68b2o68b2o59bobo28bobo346bo65bo75bobo 194b2ob2o65b2ob2o65b2ob2o65b2ob2o7bo57b2ob2o65b2ob2o65b2ob2o65b2ob2o 61bo28bo285bo61b2o141b2o195b2obobo63bobobobo63bobobo67bobo9bo57bobo3b 2o62bobo3b4o60bobo3b4o60bobo3b4o170b2o203b2o61bobo136b3o202bo64b2o3bo 64b2o2bo64b3o2bo5b2o5b2o50b3o2bo3bobo6bo51b3o2bo3bo2bo57b3o2bo3bo2bo 57b3o2bo3bo2bo169b2o204bobo199bo343b2o63bo4b2o4bobo4bobo49bo4b2o3bo7b obo49bo4b2o3b2o58bo4b2o3b2o58bo4b2o3b2o171bo406bo418bo6bo69b2o852b3o 83bo132b2o128b2o68b2o505bo10b2o336bo2bo78b2o132b2o61b2o66b2o62b2o4b2o 13b3o50b2o48b2o75b2o325b2o10bobo195b3o136bo2bo80b2o133bo60bobo128bo2b o18bo49bobo48bobo74bobo324bobo9bo197bo141b3o274bo123b2o5bo2bo19bo51b o48bo76bo251b2o65b2o217bo412b2o67b2o57bobo6b2o428bobo66b2o200b3o425bo bo58b2o7bobo58bo25b2o430bo65bo204bo20b2o405bo59b2o6bo73b2o10b2o52b2o 44b2o595b2o3bo21bobo54bo408bo81bobo12bo53b2o42b2o595bobo25bo46b2o7b2o 492bo52bo46bo596bo73b2o6bobo769bo509bo920b2o337b3o16b2o5b2o920bobo 338bo16bobo3b2o386b3o382bo148bo339bo25bo386bo384b2o152b2o387bo382bo bo145b2o5bobo917bobo5bo919bo357b2o1276b2o1278bo2761b3o763bo762b o6762b3o764bo763bo! Hunting Posts: 3526 Joined: September 11th, 2017, 2:54 am ### Re: Synthesising Oscillators I have nothing to say, so, congrats! Saka wrote: October 22nd, 2020, 3:51 am Anyway I will not contribute to this language if it stays like this. Moosey wrote: February 5th, 2019, 7:51 pm “New knightship tagalong!” “Quick, hide it!” LeapLife - DirtyLife - LispLife GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators Goldtiger997 wrote: May 6th, 2020, 7:55 am 4xN block arrays can now be synthesised... I believe it is more appropriate for the thread "Syntheses of Unusual Still Lifes". There's some progress on the same topic. --- A p200 traffic jam variant in 116G, inspired from my 39G p40 traffic jam a few posts above. Code: Select all x = 703, y = 93, rule = B3/S23 11bo55bo88bo107bo143bo132bobo116bo11bobo51b2o87b2o107bob2o135bo5bobo 130b2o117bobo11b2o53b2o72bobo12b2o110bo135bo4b2o132bo117b2o141b2o 116bo3bo2bobo132b3o9bo131bo117bo5bo2bo259bo18bo117bo7bobo143bo105bo 6b2o112bo25bobo120bo15b2o97bobo17bo8b2o46bo96bobo223bob2o23b2o119b3o 16b2o97b2o17b3o55bo97b2o100b3o3b3o119bo23bo237bo55b3o317bo3bo2bobo 148bo117bo60b2o72bo23bo100bo115bo5bo2bo11bo13bo120b2o117bo60bobo72b 2o19b2o101bo115bo6b2o10bobo13bobo119b2o116b3o60bo73b2o21b2o100bo135b 2o13b2o116bo371b3o3b3o149bo114bobo150bo103b3o145bo115bo8b3o115b2o 79bo68b2o225bo26bobo112bob2o124bo11bo66bo70b2o101bo5bo116bo26b2o117bo 152bo9b2o67b3o166b3o2bo5bo11bo32bo71bo137bo3bo2bobo150b2o10b2o240bo 5bo11bo30b2o210bo5bo2bo92bo56bob2o85bo184bo31b2o66b3o36bo103bo6b2o94b 2o53b3o2bo14b2o65bo3bobo166b3o151b2o131b3o71b2o43bo12bobobob2o10b2o 65b2o3b2o179b3o3b3o93bo5bo33bobo98b3o3b3o23b3obo113bob2o11boboboo2bo 11bo64bobo69bo125b3o82b3o2bo5bo11bo155bobobo116bo11bo2b3oobo2bo144bob o76bo40bo97bo5bo11bo126bo22b3o4bo2bo63bobo23bo18bo3bo2bobo11b2obobo 149b2o77b2o38bo5bo5bo26bobo74bo126bo30b2o65b2o21bobo18bo5bo2bo12b2o2b 2obo214bo8b2o39bo5bo5bo26b2o59b3o140bo20bo5bo70bo15bo7b2o6bobo9bo6b2o 13bo4bo150bo65b2o22bo30bo5bo27bo71b3o3b3o143bo5bo84bobo15b2o38b3o 153b2o65b2o4bo19b2o146b3o10bo100b3o23bo5bo85b2o2bobo11bo6b3o3b3o23b3ob o50bo86b3o14b2o68bobo18b2o31b3o105bo20bo223b2o51bobobo51b2o39bo132b 2o159bo5bo5bo8bo98bo5bo23b3o18bobo4bobo64bo23bo22b3o4bo2bo50b2o38b2o 43bo5bo99b2o143bo5bo5bo102b3o2bo5bo11bo32b2o5b2o89bo30b2o91b2o37b3o2b o5bo10bo80bo6bobo149bo5bo4b3o3b3o94bo5bo11bo33bo6bo61b3o25bo20bo5bo 58bobo8bo65bo5bo11b2o79b2o6bo281bo94bo9bo46bo5bo59b2o8bobo80b2o79b2o 18bo44b2o94b3o10bo100b3o109b2o6bo21b3o23bo5bo59bo9b2o66b3o113bo36bo6b 2o108bo112b3o3b3o31b3o56b2o53bo199bo22bo5bo7bobo6bo107bo5bo118b3o10bo 14bo87bo5bo23b3o53b2o106b3o112bo3b2o8b2o61b2o56b2obo109bo20bo15bo81b 3o2bo5bo11bo52bobo96b3o122bo4b2o23b2o44bo2bo54bo113bo5bo5bo8bo102bo5b o11bo89bo69bo5bo86b3o31b2o18bobo41bo2bobo13bo24bo14bobo2bo109bo5bo5bo 129bo32b3o88b2o69bo5bo119b2o19bo4b2o41bo14bo24bo14bo2bo117bo5bo4b3o3b 3o92bo7b3o49bo79b3o6bobo68bo5bo56bo27bo5bo30bo22b2o38bob2o15bo24bo15b 2o231bo18b3o3b3o27bo3bo222b2o26bo5bo5bo39b2o8bo38bo5bo60bo6bo106b3o 10bo95b3o30b3o10bo9bobo2bo77bo5bo77b3o57bobo26bo5bo5bo38b2o54bo32b3o 3b3o18bo6bo120bo85b2o33bo20bo7bo2bobo77bo5bo178bo10b3o27bo53bo10b3o 46b3o4b3o49bo68bo5bo17b2o59bobo33bo5bo5bo8bo7bo3bo77bo5bo168b3o139bo 82bo13b2o56b2obo16bobo60bo33bo5bo5bo16bo258b3o3b3o4bo5bo75b3o3b3o4bo 5bo21bo80b3o12bo2bo54bo20bo102bo5bo4b3o3b3o4b3o79b3o189bo5bo88bo5bo5b o15bo93bo2bobo13bo24bo14bobo2bo136bo92b2o31bo8bo5bo7b3o69bo8bo5bo5bo 113bo14bo24bo14bo2bo123b3o10bo60b2o74bo93b2o30bo94bo20bo10b3o80bo15bo b2o15bo24bo15b2o14b3o120bo61b2o73bo22bo69bo32bo10b3o7bo5bo67bo10b3o 99bobo16bo5bo68bo122bo5bo60bo98bo123bo5bo84b3o3b3o4bo5bo77b2o22bo32b 3o3b3o28bo49b3o4b3o8b2o56b2obo79bo79bo123bo5bo97bo5bo101bo10b3o108bo 6bo7bo2bo54bo79bo55b3o240bo8bo5bo7b3o128bo83bo6bo6bo2bobo13bo24bo14bo bo2bo79bo205b3o90bo42b2o68b3o3b3o4bo5bo21bo101bo14bo24bo14bo2bo133bo 5bo133bo104bo10b3o7bo5bo14b2o82bo5bo5bo15bo97bob2o15bo24bo15b2o75b3o 3b3o49bo5bo5bo127bo17b3o60bobo42bo5bo16bo72bo8bo5bo5bo114bo5bo133bo5b o5bo127bo15bob3o61b2o42bo5bo89bo20bo10b3o23bo83bo32b3o3b3o71b2o6bo65b o10b3o129bobobo62bo124bo14bo10b3o128bo10b3o70bo2bo5bo55b3o131b3o3b3o 10bo2bo109b3o77bo30b3o3b3o4bo5bo19b3obo118bo70bobo2bo3bo61b3o3b3o4bo 5bo15bo112b2o98bo89b3o43bo5bo18bob2o79b3o3b3o4bo5bo21bo71bo82bo5bo14b o89b2o6bo87b2o26bo17b3o66bo6bo32bo8bo5bo7b3o8b2obo73b2o17bo5bo5bo15bo 72b2obo69bo8bo5bo14b3o86bo2bo5bo86bobo26bo15bob3o66b2o5b2o31bo31bob3o 72bob2o8bo8bo5bo5bo74bo70bo118bobo2bo3bo88bo41bobobo21bo44bobo4bobo 31bo10b3o7bo5bo80bo12bo20bo10b3o23bo145bo10b3o106bo119b3o3b3o10bo2bo 21b2o71b3o32bo5bo6bo76bo9bo10b3o266b2obo83b2o13b2o35b2o22bobo105bo5bo 79b2obo27b3o3b3o4bo5bo19b3obo184bo83bo83bobo13bobo10b2o6bo110bo5bo 116b2o42bo5bo18bob2o183bo170bo13bo11bo2bo5bo110bo5bo32b3o116bo8bo5bo 7b3o8b2obo171b3o9b3o194bobo2bo3bo35b2o73bo5bo20bo130bo31bob3o156bo 14bo185bo23bo42b2o69b2o30bo17b3o110bo10b3o7bo5bo156bo15bo109bo74b2o 23b2obo40bo67bo2bo4b3o22bo15bob3o96b3o32bo5bo6bo156bo124b2o73bobo25bo 5b2o102bobobo43bobobo132bo5bo181bo99bobo211bob3o23b3o3b3o10bo2bo96bo 5bo152b3o3b3o19b2o179b3o24bo3bo104b3o43b2o97bo5bo32b3o166bo13bobo2b 2o90b3o75b2o4bo26bo4bo125b2o6bo114bo5bo20bo148b2o6bo9b2o17bobo91bo74b obo5bo27bobobo123bo2bo5bo109b2o30bo17b3o147bo2bo5bo8bobo8b2o7bo92bo 77bo34bobobo122bobo2bo3bo108bo2bo4b3o22bo15bob3o147bobo2bo3bo19bobo 103bo109bo4bo121bo116bobobo43bobobo148bo27bo86b3o15b2o110bo3bo122b2ob o113bob3o23b3o3b3o10bo2bo149b2obo112bo15bobo238bo5b2o109b3o43b2o151b o112bo129b2o116b3o146b2o6bo512bo13bo3bo129bo2bo5bo268b2o243bo12bo4bo 114b3o11bobo2bo3bo267bobo236b2o20bobobo113b3o12bo269bo237b2o20bobobo 112b3o13b2obo506bo23bo4bo113b3o12bo5b2o531bo3bo113b3o492b2o18b3o 134b3o16bo3bo493b2o17bo19b2o134bo4bo492bo20bo156bobobo671bobobo 497bo174bo4bo497b2o174bo3bo496bobo674b2o!  The fumarole-mold pair in the original p200 traffic jam seems problematic, but once it's done you can complete another p100 synth. Code: Select all x = 48, y = 48, rule = B3/S23 21b2o4b2o21bobo2bobo23bo2bo22bo4bo22b2o2b2o24b2o31bobo30bo31bo 2bo26bo4bobobo26bo5bo2bo26bo6b2o9b2o8bo2bo10b3o3b3o9bobo7b2obo 15bo7b3o16bo7b2o17bo12bo2o10boo2b2o7bob2obo41b2o5bo37b2o2bo5bo 27b3o7bob2ob2obo37boo2b2o26bo5bo4bo2o29bo5bo5bob2o31bo5bo5b2o2bo 46b2o33b3o21bo21bo17b3o21bo15bob3o2b2o5b2o25bobobobobo4bobo6b3o 3b3o10bo2bo3bo6bo26b2o13b2o6bo12bo2bo5bo12b2o12bobo2bo3bo12bobo 13bo20bo14b2obo16bo22b2o20b2o2b2o20bo4bo21bo2bo19bobo2bobo19b 2o4b2o!  Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators GUYTU6J wrote: February 23rd, 2020, 12:08 am Going back to school, I'm caught in LWTDS. For my 900th post I'll write about my horrible attempts in synthesizing Metamorphosis II. It's a compact p60, and injecting the two LWSSes/gliders is problematic for a synthesis apprentice. Anyway the first half is easy: Code: Select all x = 122, y = 160, rule = B3/S23 90bo89bo89b3o878bo31bo76bobo31bobo77b2o31b2o89bo10bo89bobo7bo 89b2o8b3o6100bobo100b2o93bo7bo92b2o82bo9bobo80bobo81b2o510bobo 11b2o11bo17bo16bo11bo16bobo9b3o16b2o2107b2o94bo12bobo9b3o94bob o10bo11bo19b2o76b2o4b2o15bo10bo8bobo75b2o4b2o8b2o9bo77b2o9b2o83bob o94bo5b3o5bo77bo6bo75b3o3o78b5o2bo77b2o3b2obo79b5o81bo3bo82bo bo83bo383b2o6b2o75b2o6bobo6bo5352bo50b2o51b2o19bo11bo17bobo 12bo18b2o10b3o369bobo70b2o70bo17bo75bo11bo37bobo35bobo9b3o38b2o 35b2o38bo478b2o69bo8bobo48bo18b2o9bo46bobo19b2o47b2o64b3o64bo 65bo27b3o29b3o29bo31bo28bo31bo241b2o40bobo42bo8b2o52b2o51bo 65b2o65bobo65bo640b3o42bo41bo!  Doing the other half while putting in the LWSS pair is difficult... Done in a total of 43G: Code: Select all x = 148, y = 70, rule = B3/S23 40bo61bobo39bo63b2o39b3o61bo31bo32bo3bo30b3o3bobo36b2o253bo82bo 52bo81b2o52b3o46bo33b2o99bobo100b2o9bo20bo55b3o34bobo17b2o16b2o 55bo37b2o16b2o18b2o56bo36bo6bo98bobo16b2o99b2o15b3o15bo116b2obo9bo 3bo93bo10bo12b3o8bo4b3o91bobo11b2o11bo9b3o11bo92b2o10b2o34b2o141b 2o311bo29bo11bobo25bobo100bo2o12b2o5bo9bo5b2o12b2o88bo2o12b2o4bobo 7bobo4b2o12b2o88b3o14b2o3bo3bo5bo3bo3b2o11bobo5b5o5b5o5bobo84b2o11b o6b2o3b2o3b2o3b2o6bo84bobo19b5o5b5o93b2o20b3o7b3o61bo21bo9bo63bo 93b3o50b2o146b2o139bo90b3o45b2o92bo45bobo91bo37bo127b2o128b2o 20b2o9b2o20b2o9b2o95b2o96b2o95bo3106bo29bo106bobo25bobo95b2o12b 2o5bo9bo5b2o12b2o95b2o12b2o4bobo7bobo4b2o12b2o109b2o3bo3bo5bo3bo3b2o 106bobo5b5o5b5o5bobo106bo6b2o3b2o3b2o3b2o6bo114b5o5b5o115b3o7b3o 116bo9bo9115b2o9b2o115b2o9b2o!  (My 2^10th post!) Bullet51 wrote: October 21st, 2019, 9:42 am 没想到你就这样和我们说再见了。你寒假还会回来吗？ (Didn't expect you saying goodbye this soon. Will you return on winter holiday?) Possibly. A for awesome Posts: 2122 Joined: September 13th, 2014, 5:36 pm Location: Pembina University, Home of the Gliders Contact: ### Re: Synthesising Oscillators A final step for circle of fire: Code: Select all x = 27, y = 23, rule = B3/S23 11bobo7bo4b2o5bo8bo3bo5bo6b3o9b3o2o2bo7b2ob2o7bo2bo4bo5bobobobo5b oo3bo5bo2bo2bo5bo3bob4o6bobobo6b4o8b4obob4o7bo5bo5bo6bob5ob5obo 7bo5bo5bo8b4obob4ob4o6bobobo6b4oo3bo5bo2bo2bo5bo3bo4bo5bobobobo5b oo2bo7b2ob2o7bo2bo26b3o9b3o8bo5bo3bo7bo5b2o4bo13bobo! Unfortunately, the central 64-cell still life would almost certainly be very hard to construct. As a side note, there's one soup for the oscillator on Catagolue, but it's not really any help, as expected, since it forms at generation 1: Code: Select all x = 31, y = 31, rule = B3/S23 booooboooboooboooboooboooboooob bbobboobboobbbbbbbbboobboobbobb obobbobbbbobooboboobobbbbobbobo obbobbooooobbooooobbooooobbobbo ooobbbobobbooboboboobbobobbbooo bbobbbbbbobooboboboobobbbbbbobb ooooobooooobobooobobooooobooooo boooooooboobbooboobboobooooooob ooooboooobooobbobbooobooooboooo bobobbobbbooboobooboobbbobbobob boobbboobbobooboboobobboobbboob bbooooobboobbobobobboobbooooobb bbbbbbooooooboboboboooooobbbbbb obbboboboobbooboboobboobobobbbo oobbboboobobbbbobbbboboobobbboo ooobobbbbobooooboooobobbbbobooo oobbboboobobbbbobbbboboobobbboo obbboboboobbooboboobboobobobbbo bbbbbbooooooboboboboooooobbbbbb bbooooobboobbobobobboobbooooobb boobbboobbobooboboobobboobbboob bobobbobbbooboobooboobbbobbobob ooooboooobooobbobbooobooooboooo boooooooboobbooboobboobooooooob ooooobooooobobooobobooooobooooo bbobbbbbbobooboboboobobbbbbbobb ooobbbobobbooboboboobbobobbbooo obbobbooooobbooooobbooooobbobbo obobbobbbbobooboboobobbbbobbobo bbobboobboobbbbbbbbboobboobbobb booooboooboooboooboooboooboooob! EDIT: BlinkerSpawn posted this mechanism, that might be easier to construct the central still life for, on the Discord: Code: Select all x = 19, y = 19, rule = B3/S23 9bo7b2o3b2o5b2o5bobo22bo4b2o2b2o3boobo3bo2bo2bo3bobob2o4bobobo4b 2o4b4obob4o3bo5bo5bo2bob5ob5obo3bo5bo5bo4b4obob4ob2o4bobobo4b2o obo3bo2bo2bo3bobo2bo4b2o2b2o3bo25b2o5bobo7b2o3b2o9bo! praosylen#5847 (Discord) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)$$x_1=\eta xV^*_\eta=c^2\sqrt{\Lambda\eta}K=\frac{\Lambda u^2}2P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}

Ian07
Posts: 623
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

5G trans-beacon on cap, 6G quadpole on ship, 5G block on griddle, 5G cis-queen bee shuttle:

Code: Select all

x = 563, y = 63, rule = B3/S23
313bo$311bobo$312b2o2$148bobo$149b2o380bobo2bo$149bo382b2o2bobo$532bo
3b2o$511bo$511b2o$510bobo7$533b2o$533bobo$24bo508bo$23bo$23b3o7$7bo$6b
o$6b3o$obo18bobo324b2o2b2o$b2o18b2o324bobob2o$bo20bo326bo3bo$5b3o$7bo$6bo$168b3o7bo$170bo5b2o$169bo7b2o2$350bo$179b2o168b2o$178b2o169bobo$
157b2o21bo$158b2o$157bo5$561b2o$560b2o$184b2o376bo$184bobo$184bo5$373b
2o$372b2o$374bo!
Originally found by various users as part of the 4Glider_stdin, 5Glider_stdin, and 8Glider_stdin censuses; I've just collected them here.

Hdjensofjfnen
Posts: 1608
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Synthesising Oscillators

It irks me that this synthesis fails by the slimmest of margins:

Code: Select all

x = 15, y = 38, rule = B3/S23
2bobo$3b2o$3bo2$9bobo$9b2o$10bo2$4bo$5bo$3b3o2$6bobo$6b2o$7bo3$5bo$5b 2o$4bobo$12b2o$7b3o2bobo$7bo4bo$8bo4$2b2o$3b2o$2bo$11b3o$11bo$2o10bo$b 2o$o$13bo$12b2o$12bobo!  EDIT: Never mind, here it is: Code: Select all x = 16, y = 40, rule = B3/S23 4bo$5bo$3b3o2$11bo$10bo$10b3o4$5bo$6bo$4b3o2$7bobo$7b2o$8bo3$6bo$6b2o$5bobo6bo$13b2o$8b3o2bobo$8bo$9bo3$3b2o$2bobo$4bo$13b2o$12b2o$b2o11bo$o
bo$2bo2$13b3o$13bo$14bo!


Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo! Code: Select all x = 7, y = 5, rule = B3/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  GUYTU6J Posts: 1191 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! ### Re: Synthesising Oscillators Mark Niemiec's website shows an edge-shooting recipe for a caterer, which actually enables the following crown isomer to be done in 52G: Code: Select all x = 413, y = 43, rule = B3/S23 7b2o10b2o30b2o10b2o52b2o10b2o35b2o10b2o36b2o10b2o36b2o10b2o56b2o10b2o 46b2o10b2o$6bo2bo2b4o2bo2bo28bo2bo2b4o2bo2bo50bo2bo2b4o2bo2bo33bo2bo2b
4o2bo2bo34bo2bo2b4o2bo2bo34bo2bo2b4o2bo2bo54bo2bo2b4o2bo2bo44bo2bo2b4o
2bo2bo$6b3o2b6o2b3o28b3o2b6o2b3o50b3o2b6o2b3o33b3o2b6o2b3o34b3o2b6o2b 3o34b3o2b6o2b3o54b3o2b6o2b3o44b3o2b6o2b3o$9b10o34b10o56b10o39b10o40b
10o40b10o60b10o50b10o$8bo10bo32bo10bo54bo10bo37bo10bo38bo10bo38bo10bo 58bo10bo48bo10bo$8b2o8b2o32b2o8b2o54b2o8b2o37b2o8b2o38b2o8b2o38b2o8b2o
58b2o8b2o48b2o8b2o2$111b2o47b2o48b2o48b2o68b2o58b2o$111b4obo43b4obo44b
4obo44b4obo15b2o47b4obo15b2o37b4obo15b2o$111bobo2b3o41bobo2b3o42bobo2b 3o42bobo2b3o9bob4o47bobo2b3o9bob4o37bobo2b3o3bo5bob4o$275b3o2bobo62b3o
2bobo47bobo2b3o2bobo$115b2o47b2o48b2o48b2o68b2o58b2o4bobo$115bo48bo49b
o49bo12b2o55bo12b2o45bo6bo5b2o$8bo48b2o63bo155bo69bo59bo$obo6b2o46bobo
62bo52bo43b2o50bo$b2o5b2o42bo5bo63bo50b2o6bobo34bobo50bo$bo49bobo120b
2o5b2o36bo5bo45bo$51bobo64b3o3b3o55bo41bobo$7b2o43bo171bobo40b3o3b3o$8b2o104bo7bo52b2o48bo$7bo106bo7bo51b2o95bo7bo121bo$114bo7bo53bo94bo7bo 120b3o$3b3o265bo7bo119b2obo$5bo104b3o3b3o59b3o218b3o$4bo45bobo125bo96b
3o3b3o116b2o$51b2o61bo64bo45bobo117bo$51bo62bo5b2o103b2o52bo64b2o$114b o4b2o105bo45b2o5bo64bobo$121bo151b2o4bo$51b3o218bo67b3o$51bo172b3o115b
o$52bo173bo114bo$225bo$105b2o$105b2o180b2o$58b2o227b2o$57b2o159b2o$59b o159b2o$91b2o125bo$90bobo208b2o$92bo208bobo54bo$301bo55b2o$357bobo!

Note that the caterers are flipped with respect to the canonical ones on the LifeWiki, but this version is employed in larger oscillators like pi orbital and Hans Leo hasslers.
The same caterer recipe is useful for the syntheses of p60 and p90 pre-pulsar hasslers as well, but a suitable activating reaction for the latter is yet to be found. On the other hand this method is too expensive:

Code: Select all

x = 171, y = 46, rule = B3/S23
76b2o15b2o$75bo19bo$78bo13bo$74bo3bo3b2o3b2o3bo3bo$71b4o3bo2bo2bobo2bo
2bo3b4o$76bo5b2o3b2o5bo3$o2bo163bo2bo$4bo76b2o5b2o76bo$o3bo75bo2bo3bo
2bo75bo3bo$b4o76b2o5b2o76b4o4$94bo$92bo3b4o$92bo3bo$92bo$95bo$93b2o$
84b2o$84bobo$79bo5bo$78bobo$78bobo$79bo5$78bo$79bo$77b3o4$79b2o$78b2o$80bo4$85b2o$85bobo$85bo!

Bullet51 wrote:
October 21st, 2019, 9:42 am

(Didn't expect you saying goodbye this soon. Will you return on winter holiday?)
Possibly.