## Synthesising Oscillators

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

### Re: Synthesising Oscillators

Short key and skewed pole reduced from 33 to 13 gliders via soup:
`x = 191, y = 5020bo\$21bo\$19b3o\$23bo\$23bobo\$23boo\$129boo28boo28boo\$50bo29bo49bo29bo29bo\$13bo36bo29bo39bo6bobo20bo6bobo20bo6bobo\$13bobo34bo29bo38bob3obboo21bob3obboo21bob3obboo\$13boo105bobbobbo23bobbobbo23bobbobbo\$bbo38bo29bo29bo21bobbo26bobbo26bobbo\$obo37bobo27bobo26boo\$boo38boo28boo13bobo11boo\$86boo\$3b3o81bo\$3bo37bo29bo19bo\$4bo36bo29bo17boo\$41bo29bo18boo\$83bo\$83boo\$82bobo28b3o3b3o21b3o3b3o\$97bo42boo\$96boo19bo23boo4bo\$96bobo18bo22bo6bo\$101bo15bo29bo\$100boo\$100bobo20\$70boo\$69bobo\$71bo!`

The add-anvil converter can also grab onto unstable hinges just as boat-bits can,
which gives a few additional cheap still-life-on-anvil sytheses.
(I only did this with the 2-3 glider bases; I'll leave the 4+ glider ones to someone who has more time and better tools).
`x = 159, y = 85, rule = B3/S2319bo39bo39bo39bo\$19bobo37bobo37bobo37bobo\$19boo38boo38boo38boo3\$20bo39bo39bo39bo\$19bo39bo39bo39bo\$19b3o37b3o37b3o37b3o\$\$22boo38boo38boo38boo\$22bobo37bobo37bobo37bobo\$22bo39bo39bo39bo3\$35boboo36boboo36boboo36boboo\$33b3obo35b3obo35b3obo35b3obo\$32bo4bo34bo4bo34bo4bo34bo4bo\$33b4o17bobo16b4o36b4o36b4o\$54boo\$33boo20bo17boo38boo38boo\$33boo12b3o22bobo37bobo5bobo29bobo\$49bo23bo38boo7boo28bobo\$48bo4boo66bo30bo\$52boo\$54bo3\$129boo\$130boo\$129bo\$23b3o112boo\$23bo77bo36bobo\$24bo59bo15boo36bo\$3o81boo14bobo\$bbo80bobo\$bo\$\$82bo\$82boo\$81bobo9\$61bo\$60bo\$19bo40b3o\$19bobo\$19boo\$\$61bo\$20bo40bobo\$19bo41boo\$19b3o\$\$22boo\$22bobo\$22bo40b3o\$5bo57bo\$6bo57bo\$4b3o28boboo36boboo\$33b3obo35b3obo\$32bo4bo34bo4bo\$33b4o36b4o\$48bobo\$33boo14boo22boo\$32bobo14bo24bo\$31bobo39bo\$31boo40boo3\$56bo\$57bo\$55b3o3\$56b3o15boo\$25b3o30bo15boo\$6boo17bo31bo\$5bobo18bo\$7bo!`

EDIT: Trans skewed poles reduced from 20 to 18, from a soup, and then to 14 from another soup:
`x = 293, y = 71, rule = B3/S23255bo\$253bobo\$254boo\$\$3bo222boo28boo\$3bobo219bobbo26bobbo\$3boo32boo28boo28boo28boo38boo28boo27boo3bo24boo3bo\$6b3o28bobo27bobo27bobo27bobo37bobo27bobo30bobo27bobo\$6bo31boo28boo28boo28boo8bobo27boo28boo30bobo27bobo\$7bo131boo39bo29bo20bo29bo\$139bo39bobo21bo5bobo\$4boo174boo19boo7boo9boo28boo28boo\$5boo132b3o60boo17bo29bo29bo\$4bo66bobo65bo82bobo27bobo27bobo\$32b3o27b3o6boo19b3o27b3o15bo21b3o27b3o9boo18boo28boo28boo\$72bo116bo14bobo18bobbo26bobbo26bobbo\$bo185bobo14bo20bobbo26bobbo26bobbo\$boo96b3o11bo15b3o37b3o16boo9b3o26boo28boo28boo\$obo66bo44bo114bobo27bobo27bobo\$67boo43b3o75boo40bo29bo29bo\$68boo82boo28boo7boo38boo28boo28boo\$114bo37bobo27bobo5bo\$66bo46boo38bo29bo38bo29bo\$67bo26boo17bobo8boo38boo28boo25bobo27bobo\$65b3o26bobo27bobo37bobo27bobo24bobo27bobo\$69boo24boo28boo38boo28boo25bo3boo24bo3boo\$68bobo154bobbo26bobbo\$70bo155boo28boo\$\$258boo\$258bobo\$258bo10\$129bo\$127bobo29boo28boo\$128boo7bo21boo28boo\$137bobo\$128boo7boo20boo28boo\$127bobo5bo23boo28boo\$129bo3bobo29boo28boo\$134boo28bobbo26bobbo\$165boo28boo\$\$185bobo33boo28boo28boo\$186boo33bo13boo14bo13boo14bo\$186bo35bobo9bobo15bobo9bobo15bobo\$206bo17boo9bo10bo7boo9bo18boo\$187boo15boo19bobbo15bobo8bobbo8boo16bobbo\$188boo15boo18bobbo16boo8bobbo8bobo15bobbo\$187bo30bo9boo18bo9boo7bo20boo\$207bo9bobo9bobo15bobo9bobo27bobo\$206boo9boo13bo14boo13bo29bo\$206bobo22boo28boo28boo\$\$167boo28boo\$138boo26bobbo26bobbo\$138bobo3bo22boo28boo\$138bo5bobo26boo28boo\$135boo7boo27boo28boo\$134bobo\$136bo7boo27boo28boo\$144bobo26boo28boo\$144bo!`
mniemiec

Posts: 1043
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:EDIT: Trans skewed poles reduced from 20 to 18, from a soup, and then to 14 from another soup:

I did that (in the sense that I also added it to Shinjuku) in 12 some days ago:
`x = 36, y = 40, rule = B3/S2333bo\$33bobo\$33b2o2\$6bo\$7b2o\$6b2o18bobo\$26b2o\$27bo\$11bobo\$7bo3b2o\$5bobo4bo\$6b2o6\$6bo\$7b2o19b2o\$6b2o19b2o\$29bo6\$28b2o\$23bo4bobo\$23b2o3bo\$22bobo\$8bo\$8b2o\$7bobo18b2o\$27b2o\$29bo2\$b2o\$obo\$2bo!`

Also, capped AK-94 in 58 gliders by reducing the cost of the Bellman 1 catalyst by two (and skipping the add-boat step). I believe that this oscillator is the smallest known for its period (non-trivial, of course):
`x = 704, y = 69, rule = B3/S2350bo\$49bo47bo\$49b3o46b2o\$97b2o\$36bobo\$37b2o\$37bo57b2o\$95b2o2b3o3\$2bo139bo489bobo\$obo60bo76bobo490b2o\$b2o51bo6b2o78b2o6bo483bo\$41b2o10bobo6b2o83b2o\$4b2o34bobo10bobo92b2o488bobo\$3bobo36bo11bo45b2o3bo32b2o3bo53b2o3bo51b2o3bo44b2o3bo50b2o3bo43b2o3bo43b2o3bo45b2o3bo47b2o3bo71b2o38b2o3bo\$5bo95bo2bobo32bo2bobo53bo2bobo51bo2bobo44bo2bobo50bo2bobo43bo2bobo43bo2bobo45bo2bobo47bo2bobo70bo7bo32bo2bobo14bo\$99bo4b2o31bo4b2o52bo4bobo49bo4bobo42bo4bobo48bo4bobo41bo4bobo41bo4bobo43bo4bobo45bo4bobo79b2o10bobo15bo4bobo8bo3b2o\$99b5o33b5o4bo49b5obo50b5obo43b5obo49b5obo42b5obo42b5obo44b5obo46b5obo79b2o12b2o15b5obo7b2o5b2o\$103bo37bo3bo54bo56bo49bo55bo48bo48bo50bo52bo95bo20bo10b2o\$50bo48b2o36b2o6b3o48b2o3bo51b2o3bo44b2o3bo50b2o3bo43b2o3bo43b2o3bo45b2o3bo47b2o3bo86bo17b2o5b2o3bo\$49b2o48b2o36b2o57b2o4bo50b2o4bo43b2o4bo49b2o4bo42b2o4bo42b2o4bo44b2o4bo46b2o4bo86b2o16bo5b2o4bo\$45bo3bobo149b2o55b2o48b2o54b2o47b2o47b2o49b2o51b2o85b2o17bobo8b2o\$45b2o626b2o\$44bobo96bo\$143bobo413bo\$48b2o47bo45b2o405b2o5bobo\$49b2o46bo453b2o5b2o2b2o\$48bo48bo42b2o408bo12b2o41bo\$139bobo420bo42bo\$141bo371bo91b3o\$94b3o417bo\$96bo415b3o137b3o\$95bo421bobo84bo49bo\$299bo217b2o49b2o32bobo48bo31b2o\$300bo217bo49bobo32b2o80bobo\$298b3o52bo106bo109bo116bo\$354b2o105bo108b2o84b2o29b2o\$349b2o2b2o104b3o145b2o46bobo\$249bo51bo46bobo113bobo141b2o47bo\$247b2o52bo48bo55bo57b2o47b2o51b2o39bo75b2o\$248b2o51bo105bo57bo47bobo50bobo114bobo16b2o\$405b3o107bo52bo116bo15b2o\$251bobo92b2o62bobo102b2o51b2o115b2o16bo\$251b2o92bobo62b2o45b2o49b2o51b2o115b2o\$246bobo3bo94bo50b2o11bo35b2o8bobo38b2o8bobo40b2o8bobo104b2o8bobo\$247b2o49b2o54b2o42bo4b2o42bo4b2o5bo38bo4b2o5bo40bo4b2o5bo104bo4b2o5bo\$247bo50b2o54b2o43bo3b2o43bo3b2o5b2o38bo3b2o5b2o40bo3b2o5b2o104bo3b2o5b2o\$295bo55bo48bo48bo50bo52bo116bo\$295b5o43b3o5b5o42bob5o42bob5o44bob5o46bob5o110bob5o\$293b2o4bo45bo3b2o4bo41bobo4bo41bobo4bo43bobo4bo45bobo4bo80b2o27bobo4bo\$185bo106bobo2bo46bo3bobo2bo43bobo2bo43bobo2bo45bobo2bo47bobo2bo81bobo27bobo2bo\$183bobo57bo11bo37bo3b2o50bo3b2o43bo3b2o43bo3b2o45bo3b2o47bo3b2o82bo28bo3b2o\$184b2o56bobo10bobo\$234b2o6bobo10b2o\$181b2o52b2o6bo97b2o\$180bobo51bo107b2o297b3o\$182bo158bo10b2o289bo\$352bobo287bo\$352bo\$297b3o2b2o\$260bo41b2o\$259b2o\$259bobo\$300b2o\$246b3o50b2o\$248bo52bo333bo\$247bo387b2o\$634bobo!`

Obviously, this means the one-barrelled AK-94 is doable in 52:
`x = 186, y = 46, rule = B3/S23169bo\$170bo\$168b3o\$172bo\$171bo\$15bo66bo80bo7b3o\$15b3o64b3o78b3o\$9bo8bo57bo8bo71bo8bo\$9b3o5b2o16b2o39b3o5b2o16b2o53b3o5b2o16b2o\$12bo17b2o2bo2bo41bo17b2o2bo2bo55bo17b2o2bo2bo\$11b2o17bobo2b2o41b2o17bobo2b2o55b2o17bobo2b2o\$33b2o65b2o79b2o\$5bo28bo37bo28bo51bo28bo\$5b3o26bob2o34b3o26bob2o48b3o11bobo12bob2o\$8bo22b2obo2bo37bo22b2obo2bo51bo10b2o10b2obo2bo\$7b2o22b2ob2o38b2o22b2ob2o52b2o11bo10b2ob2o2\$168b2o\$167b2o\$2b2ob2o62b2ob2o22b2o52b2ob2o14bo7b2o\$o2bob2o60bo2bob2o22bo51bo2bob2o22bo\$2obo11b2o50b2obo26b3o48b2obo26b3o\$3bo10bobo53bo28bo51bo28bo\$3b2o11bo53b2o79b2o\$b2o2bobo60b2o2bobo74b2o2bobo\$o2bo2b2o27bo31bo2bo2b2o73bo2bo2b2o\$b2o31b2o32b2o16b2o61b2o16b2o\$34bobo49bo80bo\$87b3o71b2o5b3o\$79bo9bo71b2o7bo\$79b2o\$78bobo\$84bo\$16b2o65b2o\$11bo3bobo65bobo\$11b2o4bo\$10bobo\$21b2o\$16b2o3bobo\$17b2o2bo\$16bo3\$25b2o\$25bobo\$25bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Bent key and skewed pole in 10 gliders, down from 28:
`x = 89, y = 27, rule = B3/S233bobo\$4b2o70bo\$4bo7bo14bo47bobo9bo\$13b2o10b2o47bo2bo8bo\$12b2o12b2o58b3o\$74bobo\$73b2o9b2o\$73b2o9b2o\$74bobo2\$75bobo\$78bo\$77b2o3b2o\$b2o78bo2bo\$obo79b2o\$2bo82b3o\$20b3o62bo\$20bo65bo\$21bo2\$77bo\$76bobo\$76bobo\$20b3o54bo\$8bo11bo58b2o\$8b2o11bo57bobo\$7bobo69bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Freywa wrote:Bent key and skewed pole in 10 gliders, down from 28:
`rle`

8 by replacing the teardrop:
`x = 89, y = 28, rule = B3/S233bobo\$4b2o70bo\$4bo7bo14bo47bobo9bo\$13b2o10b2o47bo2bo8bo\$12b2o12b2o58b3o\$74bobo\$73b2o9b2o\$73b2o9b2o\$74bobo2\$75bobo\$78bo\$77b2o\$b2o\$obo\$2bo\$20b3o\$20bo\$21bo5\$3b3o\$5bo\$4bo20b3o\$25bo\$26bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1889
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

Bent keys in 8 gliders too:
`x = 131, y = 38, rule = B3/S2383bobo\$83b2o\$84bo4\$42bobo\$43b2o\$43bo11\$50b2o\$9bo39bo2bo\$obo6bobo38b2o\$b2o6b2o52bobo\$bo44bo16b2o\$45bobo16bo\$9b2o34bobo\$8b2o36bo70bo8bo\$10bo53b2o50bob2o4b2obo\$65b2o50b4o2b4o\$64bo55b4o2\$129bo\$128bobo\$127bo2bo\$128b2o\$124b2o\$123bobo\$125bo!`
(This is also my 500th post on the forums.)

Edit: Octagon 3 in 26 gliders:
`x = 211, y = 87, rule = B3/S23195bobo\$195b2o\$196bo11\$124bo\$125b2o\$124b2o2\$168bo\$168bobo\$163bobo2b2o\$164b2o\$164bo8b2o\$173bobo\$173bo2\$18bo148bo\$19bo146bobo\$17b3o146bobo\$167bo\$14b3o\$16bo\$15bo4\$146bo\$145bo\$145b3o2\$34bo132bo23bo\$19bo12bobo107bo24bo21b2o\$19bo13b2o108bo23bo22b2o\$19bo16bo104b3o6b2o31b2o\$36bobo110bo2bo10b3o3b3o10bo2bo\$b2o12b3o3b3o12b2o112b2o31b2o6b3o\$obo140b2o22bo23bo\$2bo16bo124b2o21bo24bo\$4b2o13bo123bo23bo\$4bobo12bo\$4bo182b3o\$189bo\$188bo6\$23bo\$22bo144bo\$22b3o141bobo\$166bobo\$19b3o145bo\$19bo\$20bo140bo\$159bobo\$160b2o8bo\$169b2o\$165b2o2bobo\$164bobo\$166bo2\$209b2o\$208b2o\$210bo11\$138bo\$138b2o\$137bobo!`
And octagon 5 in 56 gliders:
`x = 400, y = 55, rule = B3/S23368bo\$369b2o\$139bo228b2o\$137b2o\$138b2o163bo\$302bo67b2ob2o\$302b3o65b2ob2o\$232bo66bo\$231bo56bo11bo\$207b2o22b3o47b2o6bo8b3o\$206bo2bo70bo2bo3b3o\$69bo129bo7b2o67b2o3b2o22b2o\$69bobo80bo44bobo2b3o27bo42bobo14bo12bobo\$65bo3b2o79b2o46b2o32bo42b2o13b2o14b2o\$66bo84b2o79bo37bo20b2o\$64b3o64bobo134bobo\$10bo115bobo2b2o101bo34b2o37bo\$10bobo114b2o3bo19b2o79bobo71bobo61b3o\$10b2o115bo13bo9b2o80bobo36b2o33bobo\$5bo12bo122bo11bo62b3o15bo36bobo16b3o15bo61bo3bo\$3bobo11bo123bo131bo97bobo\$4b2o3bobo5b3o44bo9bo61bo9bo65bo9bo63bo9bo\$9b2o52bobo7bobo5bo53bobo7bobo63bobo7bobo61bobo7bobo72b5o\$10bo53bobo5bobo6bobo52bobo5bobo18bo46bobo5bobo63bobo5bobo11bo60bo5bo21bobo\$65bo7bo7b2o54bo7bo18b2o47bo7bo65bo7bo12bobo57bo7bo20b2o\$16b2o36bo109bobo141b2o40b2o12bo2bo9bo2bo12b2o3bo\$bo13b2o3b3o32bo153bo15bo50bobo4bo15bo5bo44b2o10bo2bobo4bo4bobo2bo10b2o\$2bo2bo11bo2bo32b3o27b3o46b3o13b3o58bo15bo51b2o4bo15bo4b2o56bo4bo3bobo3bo4bo\$3o3b2o13bo61bo125bo15bo51bo5bo15bo4bobo43b2o10bo2bobo4bo4bobo2bo10b2o\$5b2o77bo31bobo154b2o71bo3b2o12bo2bo9bo2bo12b2o\$56b2o7bo7bo43b2o18bo7bo67bo7bo50bobo12bo7bo50b2o20bo7bo\$12bo42bobo6bobo5bobo42bo18bobo5bobo65bobo5bobo51bo11bobo5bobo48bobo21bo5bo\$12b2o43bo5bobo7bobo59bobo7bobo63bobo7bobo61bobo7bobo72b5o\$3b3o5bobo3b2o45bo9bo61bo9bo65bo9bo63bo9bo\$5bo11bobo121bo167bo61bobo\$4bo12bo111bo11bo58bo15b3o55bo15b3o16bobo58bo3bo\$11b2o117b2o9bo13bo43bobo71bobo33b2o\$10bobo116b2o19bo3b2o43bobo71bobo95b3o\$12bo137b2o2bobo43bo73bo37b2o\$72b3o74bobo160bobo\$72bo57b2o70bo87b2o20bo\$68b2o3bo57b2o69bo32b2o38b2o14b2o13b2o\$67bobo60bo71bo27b3o2bobo37bobo12bo14bobo\$69bo156b2o7bo40b2o22b2o3b2o\$225bo2bo64b3o3bo2bo\$201b3o22b2o54b3o8bo6b2o\$203bo78bo11bo\$202bo80bo\$278b3o89b2ob2o\$280bo89b2ob2o\$143b2o134bo\$144b2o\$143bo231b2o\$374b2o\$376bo!`
Edit 2: Achim's other p16 in 64 gliders:
`x = 315, y = 55, rule = B3/S23188bo24bo18bo\$189bo17bo3bobo17bo\$187b3o18b2o2b2o17b3o\$203b2o2b2o\$119bo65bo10bo5bobo19bo10bo41bo27bo\$120bo62bobo8bobo7bo19bobo8bobo40bo25bo\$118b3o6bobo54b2o9b2o27b2o9b2o39b3o25b3o\$127b2o\$128bo\$279bo23bo\$118b2o159bo3bo15bo3bo\$119b2o67bo43bo46bo3b2o13b2o3bo\$118bo70bo41bo38bo12b2o13b2o12bo\$127b2ob2o55b3o18b2ob2o18b3o34bobo13bo13bo13bobo\$63bobo60bobobobo74bobobobo55b2o16b2o5b2o16b2o\$58bo4b2o61bobobobo74bobobobo59b3o31b3o\$59b2o3bo62bo3bo12bobo3bo57bo3bo72bo11bo\$58b2o85b2o3bobo132bo11bo\$5bo3bo135bo4b2o134b2o7b2o\$6bobo224bo40b3o29b3o\$4b3ob3o47b2ob2o141b2o9b2o17bo40b3o10b2o3b2o10b3o\$58b2ob2o140bobo9bobo14b3o45b2o5bo7bo5b2o\$16bo186b2o11b2o64bo17bo\$16bobo49b2o2bobo203bo3bo2bo11bo2bo3bo\$16b2o31bo18b2o2b2o42b2o23b2o40b3o11b2o23b2o10bobo41bo5bo13bo5bo\$50b2o21bo41bo2bo21bo2bo5b2o34bo10bo2bo21bo2bo9b2o48bo13bo\$2bo13b2o31b2o17b2o45b3o23b3o4b2o34bo11b3o23b3o10bo\$obo13bobo36b2o11b2o38bo41bo\$b2o13bo38b2o17b2o33b2o4b3o23b3o41bo10b3o23b3o11bo\$51bo21b2o33b2o5bo2bo21bo2bo41b2o9bo2bo21bo2bo10bo48bo13bo\$b2o48b2o2b2o18bo40b2o23b2o41bobo10b2o23b2o11b3o40bo5bo13bo5bo\$obo47bobo2b2o221bo3bo2bo11bo2bo3bo\$2bo200b2o11b2o64bo17bo\$62b2ob2o119b3o14bobo9bobo62b2o5bo7bo5b2o\$8b3ob3o47b2ob2o119bo17b2o9b2o58b3o10b2o3b2o10b3o\$10bobo174bo86b3o29b3o\$9bo3bo93b2o4bo172b2o7b2o\$65b2o39bobo3b2o171bo11bo\$60bo3b2o42bo3bobo12bo3bo76bo3bo72bo11bo\$60b2o4bo59bobobobo74bobobobo59b3o31b3o\$59bobo64bobobobo74bobobobo55b2o16b2o5b2o16b2o\$127b2ob2o55b3o18b2ob2o18b3o34bobo13bo13bo13bobo\$140bo48bo41bo38bo12b2o13b2o12bo\$138b2o48bo43bo46bo3b2o13b2o3bo\$139b2o138bo3bo15bo3bo\$279bo23bo\$130bo\$130b2o\$129bobo6b3o43b2o9b2o27b2o9b2o39b3o25b3o\$138bo44bobo8bobo19bo7bobo8bobo40bo25bo\$139bo45bo10bo19bobo5bo10bo41bo27bo\$212b2o2b2o\$187b3o17b2o2b2o18b3o\$189bo17bobo3bo17bo\$188bo18bo24bo!`
Edit 3: Some gun-based oscillators (p184, p246) and a p92 and a p21 are now in Shinjuku.

Edit 4: p26 glider shuttle in 84 gliders:
`x = 804, y = 71, rule = B3/S2390bo\$88b2o\$89b2o4\$25bo\$25b2o3bo50bo\$24bobo2b2o46bo3bobo338bo262bo\$29bobo43bobo3b2o6b2o65b2o84b2o103b2o71bobo25b2o9bo72b2o81b2o67bo14b2o82b2o\$76b2o11b2o64bobo83bobo102bobo72b2o24bobo7b2o72bobo80bobo67b3o11bobo81bobo\$150b2o2bo81b2o2bo100b2o2bo96b2o2bo11b2o66b2o2bo78b2o2bo79b2o2bo79b2o2bo\$150bo2bob2o79bo2bob2o98bo2bob2o94bo2bob2o77bo2bob2o61bo14bo2bob2o77bo2bob2o77bo2bob2o\$78bo73b2obobo80b2obobo99b2obobo95b2obobo18bo59b2obobo58bobo3bobo10b2obobo65b2o11b2obobo78b2obobo\$78b2o76bo85bo104bo100bo9b2o7bo64bo60b2o3b2o15bo65bo2bo14bo83bo\$77bobo3bo374bobo6b3o129bo81bo2bo24bobo\$84b2o7b2o363bo223b2o25b2o\$83b2o7bo2bo326bo109bo82bo57bo25bo10bo72bo\$93b2o321bobo2bo109bobo80bobo14bo42b2o22bobo81bobo\$299bo76bo40b2o2b3o107b2o81b2o14bo42b2o23b2o77bobo2b2o\$83bo216bo73b2o41bo212b3o145b2o\$83b2o43bo169b3o74b2o401bo\$39bo42bobo41bobo225bo417bobo11b2o\$38b2o87b2o89bo104bo28b2o359b2o52bo5b2o11bobo\$38bobo165bo10bobo102bobo28b2o2b2o271b2o80bo2bo49b3o5bo14bo\$130b2o75bo9bobo102bobo32bobo269b2o81bo2bo48bo23b2o\$129bobo73b3o10bo104bo23bo9bo10bo262bo81b2o3b2o44b2o\$131bo173bo39bobo19bo162bo187bobo\$306b2o7b2o29b2o19b3o46b2o2bo79b2o2bo4bo19bo53b2o2bo4bo17b2o55b2o2bo4bo17b2o22bo32b2o2bo4bo17b2o\$208b3o94b2o8b2o99bo2bobo78bo2bobo2bobo14bo3b3o51bo2bobo2bobo15bobo55bo2bobo2bobo15bobo55bo2bobo2bobo15bobo\$210bo206bob2o80bob2o4b2o9bo4b2o57bob2o4b2o16bo57bob2o4b2o16bo57bob2o4b2o16bo11bo\$209bo208bo83bo15bobo3bobo58bo83bo83bo34b2o\$419b2o82b2o14b2o65b2o82b2o82b2o33b2o\$420bo83bo25bo56bo14b2o67bo14b2o67bo5b2o7b2o\$418bo83bo28b2o52bo16bobo64bo16bobo64bo8b2o6bobo\$418b2o45b2o35b2o17b2o7b2o17b2o34b2o16bo11bo16b2o35b2o16bo11bo16b2o35b2o6bo9bo11bo9bo6b2o\$466bo53b2o28bo63bobo16bo64bobo16bo64bobo6b2o8bo\$464bo57bo25bo66b2o14bo67b2o14bo67b2o7b2o5bo\$464b2o66b2o14b2o81b2o82b2o47b2o33b2o\$263bo202bo59bobo3bobo15bo82bo83bo47b2o34bo\$262bo201b2obo58b2o4bo9b2o4b2obo56bo16b2o4b2obo57bo16b2o4b2obo45bo11bo16b2o4b2obo\$262b3o101b2o8b2o85bobo2bo52b3o3bo14bobo2bobo2bo54bobo15bobo2bobo2bo55bobo15bobo2bobo2bo55bobo15bobo2bobo2bo\$313b3o19b2o29b2o7b2o87bo2b2o54bo19bo4bo2b2o54b2o17bo4bo2b2o32bo22b2o17bo4bo2b2o55b2o17bo4bo2b2o\$169bo145bo19bobo39bo144bo143bobo\$169bobo82bo10b3o46bo10bo9bo23bo227bo79b2o3b2o115b2o\$169b2o82bobo9bo57bobo32bobo227b2o81bo2bo90b2o23bo\$obo250bobo10bo57b2o2b2o28bobo226b2o82bo2bo91bo14bo5b3o\$b2o169b2o80bo74b2o28bo312b2o92bobo11b2o5bo\$bo80bobo87bobo153bo438b2o11bobo\$82b2o88bo133b2o74b3o391bo\$83bo223b2o73bo84bo118b3o186b2o\$306bo76bo77b3o2b2o52b2o66bo14b2o82b2o23b2o57b2o2bobo\$72b2o389bo2bobo50bobo65bo14bobo81bobo22b2o57bobo\$71bo2bo7b2o378bo57bo82bo72bo10bo25bo57bo\$72b2o7b2o343bo249b2o25b2o\$83bo3bobo325b3o6bobo192bo55bobo24bo2bo\$87b2o55bo85bo104bo81bo7b2o9bo83bo82bo15b2o3b2o61bo14bo2bo65bo\$88bo54bobob2o80bobob2o99bobob2o76bo18bobob2o78bobob2o77bobob2o10bobo3bobo59bobob2o11b2o65bobob2o\$144b2obo2bo79b2obo2bo98b2obo2bo94b2obo2bo77b2obo2bo76b2obo2bo14bo62b2obo2bo77b2obo2bo\$146bo2b2o81bo2b2o100bo2b2o83b2o11bo2b2o79bo2b2o78bo2b2o79bo2b2o79bo2b2o\$76b2o11b2o52bobo83bobo102bobo89b2o7bobo24b2o55bobo80bobo81bobo11b3o67bobo\$9bobo64b2o6b2o3bobo51b2o84b2o103b2o89bo9b2o25bobo54b2o81b2o82b2o14bo67b2o\$10b2o2bobo66bobo3bo372bo238bo\$10bo3b2o69bo\$15bo4\$76b2o\$77b2o\$76bo!`
Edit 5: Pre-pulsar shuttle 29 in 31 gliders:
`x = 366, y = 56, rule = B3/S23129bo\$130bo6bo\$128b3o4bobo55bo\$136b2o3bo50bo\$140bo51b3o\$140b3o46bo\$187bobo\$188b2o\$199bo66bo7bo52bobo14bo7bo\$41bo156bobo64bobo5bobo52b2o13bobo5bobo\$40bo147b2o9bo66bo7bo53bo15bo7bo\$40b3o146b2o\$37bo150bo\$38bo300bo\$36b3o48b2o43b2o17bo44b2o73b2o67bo8b2o\$86bo2bo41bo2bo16bobo41bo2bo71bo2bo64b3o7bo2bo\$87b2o43b2o17b2o43b2o73b2o76b2o2\$341b2o\$153b3o184bobo\$2bo150bo57bo74bo55bo21bo\$obo151bo55bobo37bo34bobo41b2o32bobo\$b2o44bo48bo44bo63bo5bo39b2o27bo5bo41bo2bo26bo5bo\$46bobo46bobo30b2o10bobo49b2o10bobo43b2o15b2o10bobo46bo2bo13b2o10bobo\$4b2o40bobo30b3o3bo9bobo30b2o10bobo49b2o10bobo60b2o10bobo47b2o14b2o10bobo\$3bobo41bo33bo2b2o10bo44bo63bo74bo77bo\$5bo74bo3bobo67b2o60bo\$132b2o20bobo39b2o18bobo30b3o19b2o76b2o\$132b2o20bo41b2o18b2o33bo19b2o13bo62b2o13bo\$250bo34bobo31b2o42bobo\$209bo76bo31bobo43bo\$209b2o2b3o104bo32b3o\$93bo114bobo2bo141bo\$92b2o120bo139bo3b2o\$92bobo263bobo\$358bo7\$350b2o\$273bo75bo2bo\$267b2o3b2o75bo2bo11b2o\$266bobo3bobo75b2o11b2o\$268bo96bo7\$342b3o\$344bo\$343bo!`
And its fourfold variant in 24:
`x = 195, y = 61, rule = B3/S23152bo23bo\$150bobo23bobo\$151b2o23b2o\$154b2o17b2o\$154b2o17b2o5\$23bo\$23bobo\$23b2o2\$20bobo137bo7bo\$21b2o136bobo5bobo\$21bo138bo7bo\$135bo24bo7bo24bo\$136bo24bo5bo24bo\$15bo118b3o24b2o3b2o24b3o\$16bo\$14b3o120b2o18b3o2b2ob2o2b3o18b2o\$26bobo108b2o51b2o\$26b2o133b2o3b2o\$12bo14bo3bo122bo6bo5bo6bo\$13b2o16bobo120bo6bo5bo6bo\$12b2o17b2o115bo5bo19bo5bo\$bo145bob2o27b2obo\$2bo145bo2b2o3b3o11b3o3b2o2bo\$3o149bobobo15bobobo\$4b2o32bo115bo19bo\$5b2o29b2o\$4bo32b2o115bo19bo\$40b3o109bobobo15bobobo\$40bo107bo2b2o3b3o11b3o3b2o2bo\$41bo105bob2o27b2obo\$10b2o17b2o117bo5bo19bo5bo\$9bobo16b2o124bo6bo5bo6bo\$11bo3bo14bo123bo6bo5bo6bo\$15b2o144b2o3b2o\$14bobo120b2o51b2o\$26b3o108b2o18b3o2b2ob2o2b3o18b2o\$26bo\$27bo106b3o24b2o3b2o24b3o\$136bo24bo5bo24bo\$135bo24bo7bo24bo\$21bo138bo7bo\$20b2o137bobo5bobo\$20bobo137bo7bo2\$18b2o\$17bobo\$19bo5\$154b2o17b2o\$154b2o17b2o\$151b2o23b2o\$150bobo23bobo\$152bo23bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Shave off exactly one glider from 44P12.3 (the Eye of Sauron) by going a completely different (soup-based) route. Improvements almost certainly possible and welcome.
`x = 740, y = 96, rule = B3/S23210bo\$209bo\$209b3o12\$686bobo\$687b2o\$687bo5\$179bo\$178bo\$178b3o\$734bo\$78bo655bobo\$77bo101bo554b2o\$77b3o98bobo524bo\$146bo30bo2bo525bo\$12bo74bo56bobo31b2o8bo515b3o\$10bobo63bo9bobo56b2o40bobo449bobo3bo\$11b2o61bobo9bo2bo17bo79bo2bo338bo110b2o4bo3bo\$15b3o57b2o10b2o17bo75bo5b2o338bo111bo3b3o2b2o\$15bo90b3o73bo28bo65bo38bo211b3o118bobo\$16bo94b2o69bo27bobo3b2o60bo35bobo\$111bobo96bo2bo2bobo57b3o36b2o11b2o59b2o66b2o66b2o189bo\$111bo99b2o3bo64b2o44bo2bo43bo13bo2bo64bo2bo11bo52bo2bo4bo174bo7bobo\$281bobo44bobo41bobo14bobo65bobo9b2o54bobo2b2o175b2o6bobo\$205b3o73bo35b2o10bo43b2o15bo67bo11b2o54bo4b2o61bo111bobo7bo\$36bo281b2o64bo67bo67bo74bo\$35bo281bo65bobo65bobo65bobo12bobo56b3o101bo\$35b3o337b2o7b2o66b2o66b2o12b2o62bo99bo\$320b2o54b2o71bo67bo17bo3bo44b2o11bo43b2o53b3o12b2o\$107b2o99b2o109bobo53bo72bobo24bo40bobo20bobo41bobo11b3o40bobo10b2o55bobo10b2o\$33b2o71bo2bo97bo2bo64bo2bo42bo4bo2bo57bo2bo58b2o4bo2bo16bobo39b2o4bo2bo12b2o42bo56bo11bo2bo36b2o16bo11bo2bo\$32bobo71bobo98bobo65b4o47b4o48b2o7b4o64b4o16b2o46b4o8b2o44b2ob4o50b2ob4o8b2o36bobo14b2ob4o8b2o\$34bo72bo100bo64b2o4b2o43b2o4b2o45bobo5b2o4b2o60b2o4b2o10b2o48b2o4b2o5bo2bo42bo2bo4bo48bo2bo4bo47bo4b3o6bo2bo4bo\$274bob2obo45bob2obo48bo6bob2obo50bo11bob2obo11bobo39bo8bob2obo7bobo42b2obob2obo48b2obob2obo54bo6b2obob2obo10bo\$274bob2obo45bob2obo55bob2obo6bo41bobo11bob2obo11bo40bobo7bob2obo8bo46bob2obob2o48bob2obob2o50bo10bob2obob2o6bo\$3bo70bo100bo97b2o4b2o43b2o4b2o53b2o4b2o5bobo40b2o10b2o4b2o51bo2bo5b2o4b2o54bo4bo2bo48bo4bo2bo61bo4bo2bo6b3o4bo\$3bobo67bobo98bobo98b4o47b4o57b4o7b2o37b2o16b4o54b2o8b4o57b4ob2o40b2o8b4ob2o53b2o8b4ob2o14bobo\$3b2o67bo2bo97bo2bo98bo2bo47bo2bo4bo52bo2bo45bobo16bo2bo4b2o44b2o12bo2bo4b2o55bo41bo2bo11bo54bo2bo11bo16b2o\$73b2o99b2o158bobo65bo35bo24bobo42bobo20bobo38b3o11bobo42b2o10bobo55b2o10bobo\$334b2o64b2o62bo45bo3bo17bo41bo11b2o55b2o68b2o12b3o\$3o389b2o7b2o57b2o52b2o12b2o43bo153bo\$2bo335bo53bobo65bobo50bobo12bobo45b3o149bo\$bo334b2o55bo67bo67bo46bo\$176b3o93bo53bo10b2o48bo15b2o37b2o11bo61b2o4bo53bo131bo7bobo\$270bobo52bobo58bobo14bobo37b2o9bobo61b2o2bobo183bobo6b2o\$70bo96bo3b2o98b2o52bo2bo57bo2bo13bo38bo11bo2bo59bo4bo2bo182bobo7bo\$68bobo94bobo2bo2bo101b3o48b2o11b2o46b2o66b2o66b2o184bo\$21bo47b2o95b2o3bobo27bo73bo63bobo\$22bo50b3o96bo28bo74bo62bo179b3o112bobo\$20b3o52bo17b2o10b2o87b2o5bo319bo113b2o2b3o3bo\$25b2o47bo17bo2bo9bobo85bo2bo323bo114bo3bo4b2o\$25bobo65bobo9bo88bobo40b2o401bo3bobo\$25bo68bo100bo8b2o31bobo479b3o\$203bo2bo30bo481bo\$102b3o98bobo514bo\$104bo99bo485b2o\$103bo585bobo\$691bo\$203b3o\$205bo\$204bo5\$738bo\$737b2o\$737bobo12\$172b3o\$174bo\$173bo!`

Edit: Also shaved off a glider from monogram:
`x = 153, y = 30, rule = B3/S2346bo\$44bobo\$45b2o\$104b2o\$104bobo\$47b2o56bo\$46b2o\$48bo\$150bo\$150bobo\$150b2o\$85bo3bobo54b2o\$79bo3bobo3b2o46bo3bo3bo2bo\$80b2o2b2o4bo46b5o4b2o\$79b2o58bo\$2bo135bobo\$obo7b3o31b2o57b2o34bo\$b2o7bo32bobo56bobo32b5o\$6b2o3bo31b2o57b2o33bo3bo\$5bobo\$7bo\$45b3o56b3o3\$147bo\$146bobo\$146b2o\$150b2o\$150bobo\$150bo!`

Edit 2: A p106 rectifier loop in 57 gliders:
`x = 1089, y = 141, rule = B3/S23737bobo\$738b2o\$738bo7\$760bo\$758bobo\$759b2o\$767bo\$767bobo\$767b2o\$759bobo154b2o161b2o\$618bo135bo4b2o154bo2bo159bo2bo\$617bo137b2o3bo154b3o160b3o\$617b3o134b2o18bo\$334bo438bo141b5o158b5o\$132b2o83b2o102b2o9b2o115b2o136b2o151b2o24b2o5b3o117b2o20bo4bo135b2o20bo4bo\$133bo84bo103bo10b2o115bo137bo25b3o124bo24b2o126bo23bo2bo135bo23bo2bo\$49bo83bobo82bobo101bobo125bobo135bobo23bo126bobo150bobo21b2obo2bo132bobo21b2obo2bo\$49b2o83b2o83b2o102b2o126b2o10bo125b2o10bo13bo126b2o10bo140b2o15bo8bobobo132b2o18bo5bobobo\$48bobo280b2o129bobo135bobo150bobo154bobo8bobobo151bobo4bobobo\$53b3o274b2o130b2o136b2o151b2o156b2o7b2ob2o152bo2bo2b2ob2o\$53bo278bo146bo292bo142b3o160b2o\$54bo153b2o102b2o126b2o37bobo96b2o151b2o37b2o4b3o105b2o29bo131b2o\$209bo103bo127bo37b2o98bo152bo38b2o3bo108bo30bo131bo\$123bo85bobo101bobo125bobo135bobo150bobo42bo107bobo160bobo\$123b2o85b2o102b2o126b2o136b2o151b2o151b2o161b2o\$122bobo352b2o291bo\$127b3o330b2o14b2o120b2o10bo140b2o10bo5b2o133b2o157bo3b2o\$127bo332b2o16bo119b2o9bobo139b2o9bobo4bobo132b2o157b2o2b2o\$128bo480b2o151b2o298bobo\$474b2o\$474bobo\$474bo3\$341b3o\$341bo\$342bo\$223bo\$223bobo\$223b2o98bo127bo137bo152bo152bo162bo\$322bobo125bobo135bobo150bobo150bobo160bobo\$220b2o100bobo125bobo135bobo150bobo150bobo160bobo\$220bobo100bo127bo137bo152bo43b2o107bo162bo\$220bo564b2o\$787bo9\$1036b2o\$1037b2o\$1036bo4\$650bo\$171bo479b2o\$169bobo104bo127bo137bo107b2o43bo152bo162bo\$170b2o103bobo125bobo135bobo150bobo150bobo160bobo\$275bobo125bobo135bobo150bobo150bobo160bobo\$167b2o107bo127bo137bo152bo152bo162bo\$166bobo\$168bo\$257bo\$258bo\$256b3o3\$381bo\$379bobo\$380b2o\$93bo427b2o151b2o\$94bo282bo16b2o124bobo9b2o132bobo4bobo9b2o151b2o161b2o\$92b3o283b2o14b2o125bo10b2o133b2o5bo10b2o151b2o161b2o\$97bobo277b2o288bo\$97b2o81b2o102b2o126b2o136b2o151b2o151b2o152bo8b2o\$98bo81bobo101bobo125bobo135bobo107bo42bobo150bobo151b2o7bobo\$182bo103bo88b2o37bo137bo108bo3b2o38bo121bo30bo150bobo9bo\$bo180b2o102b2o86bobo37b2o136b2o105b3o4b2o37b2o121bo29b2o161b2o\$2bo264bo108bo288bo160b3o161b2o\$3o265b2o122b2o136b2o151b2o134b2ob2o7b2o149b2ob2o2bo2bo\$5bobo259b2o122bobo135bobo150bobo133bobobo8bobo147bobobo4bobo\$5b2o79b2o83b2o102b2o115bo10b2o111bo13bo10b2o140bo10b2o122bobobo8bo15b2o132bobobo5bo18b2o\$6bo79bobo82bobo101bobo125bobo111bo23bobo150bobo122bo2bob2o21bobo132bo2bob2o21bobo\$88bo84bo91b2o10bo127bo109b3o25bo126b2o24bo125bo2bo23bo135bo2bo23bo\$88b2o83b2o91b2o9b2o126b2o136b2o117b3o5b2o24b2o125bo4bo20b2o135bo4bo20b2o\$265bo398bo159b5o158b5o\$512b3o148bo18b2o\$514bo162bo3b2o143b3o160b3o\$513bo163b2o4bo141bo2bo159bo2bo\$676bobo147b2o161b2o\$669b2o\$668bobo\$670bo\$677b2o\$677bobo\$677bo6\$983b2o\$699bo284b2o\$698b2o283bo\$698bobo23\$957bo\$957b2o\$956bobo!`

p202 boojum reflector loop in 51:
`x = 1593, y = 243, rule = B3/S231292bo\$1293b2o\$1292b2o6\$1300bo276bo\$857bo7bo240bo5bo181bobo3bobo273bobo\$858b2o5bobo237bo5bo183b2o3b2o275bo\$857b2o6b2o238b3o3b3o181bo\$861bo\$862b2o223b2o218b2o273b2o\$252b2o175b2o207b2o202b2o17b2o199b2o23b2o193b2o23b2o248b2o23b2o\$253bo176bo208bo203bo219bo41b2o176bo31b2o241bo31b2o\$109bo143bobo174bobo206bobo201bobo217bobo38b2o177bobo29bo242bobo29bo\$109b2o143b2o175b2o207b2o202b2o218b2o40bo177b2o27bobo243b2o27bobo\$108bobo976b2o218b2o4b2o267b2o4b2o\$113b3o971b2o218b2o273b2o\$113bo\$114bo305b2o207b2o202b2o218b2o218b2o273b2o\$421bo208bo203bo219bo219bo274bo\$243bo177bobo43bo162bobo201bobo217bobo217bobo272bobo\$243b2o177b2o33bobo7bobo161b2o34b2obo164b2o34b2obo180b2o34b2obo180b2o34b2obo235b2o34b2obo\$242bobo213b2o7b2o198b2ob3o198b2ob3o214b2ob3o214b2ob3o269b2ob3o\$247b3o208bo214bo179b2o22bo195b2o22bo5b2o188b2o22bo246bo3b2o22bo\$247bo419b2ob3o180b2o16b2ob3o196b2o16b2ob3o5b2o189b2o16b2ob3o247b2o2b2o16b2ob3o\$248bo419bobo201bobo217bobo9bo207bobo248bobo21bobo\$457b2o209bobo201bobo217bobo217bobo272bobo\$456b2o7b3o187bo13bo203bo219bo219bo274bo\$458bo6bo183bo4b2o\$466bo180b2o5bobo\$648b2o\$453b3o187b3o\$455bo187bo\$454bo7bo181bo\$461b2o\$461bobo382b2o218b2o218b2o273b2o\$846b2o218b2o218b2o273b2o38\$1513b2o\$1514b2o\$1513bo45\$734b2o218b2o218b2o273b2o\$292bobo439b2o218b2o218b2o273b2o\$293b2o\$293bo7bo227bo933bo\$300bo229bo932b2o\$300b3o225b3o931bobo\$524b2o\$289bo227bobo5b2o\$290bo6bo220b2o4bo\$288b3o7b2o204bo13bo189bo219bo219bo274bo\$297b2o204bobo201bobo217bobo217bobo272bobo\$153bo349bobo201bobo207bo9bobo217bobo272bobo\$154bo346b3ob2o198b3ob2o16b2o189b2o5b3ob2o16b2o196b3ob2o16b2o251b3ob2o16b2o\$152b3o142bo202bo203bo22b2o188b2o5bo22b2o195bo22b2o250bo22b2o\$157bobo127b2o7b2o203b3ob2o198b3ob2o214b3ob2o214b3ob2o269b3ob2o\$157b2o127bobo7bobo33b2o169bob2o34b2o164bob2o34b2o180bob2o34b2o180bob2o34b2o235bob2o34b2o\$158bo129bo43bobo206bobo201bobo217bobo217bobo272bobo\$334bo208bo203bo219bo219bo274bo\$bo332b2o207b2o202b2o218b2o218b2o273b2o\$2bo\$3o930b2o218b2o273b2o\$5bobo925b2o212b2o4b2o267b2o4b2o\$5b2o139b2o175b2o207b2o202b2o177bo40b2o188bobo27b2o243bobo27b2o\$6bo139bobo174bobo206bobo201bobo177b2o38bobo187bo29bobo242bo29bobo\$148bo176bo208bo203bo176b2o41bo186b2o31bo241b2o31bo\$148b2o175b2o207b2o183b2o17b2o193b2o23b2o193b2o23b2o248b2o23b2o\$718b2o213b2o218b2o273b2o\$720bo\$715b2o6b2o183b3o3b3o\$714bobo5b2o186bo5bo\$716bo7bo184bo5bo24\$1412b2o\$1413b2o\$1412bo48\$1362bo\$1362b2o\$1361bobo9\$1349b2o5b2o\$1348bobo4bobo161b2o\$1350bo6bo160b2o\$1520bo!`

p226 counterpart, which was uploaded to LifeWiki as an image:
`x = 742, y = 66, rule = B3/S23610bo\$611b2o\$610b2o6\$618bo107bo\$371bo7bo142bo5bo83bobo3bobo104bobo\$372b2o5bobo139bo5bo85b2o3b2o106bo\$371b2o6b2o140b3o3b3o83bo\$375bo\$376b2o125b2o120b2o104b2o\$58b2o79b2o109b2o104b2o17b2o101b2o23b2o95b2o23b2o79b2o23b2o\$59bo80bo110bo105bo121bo41b2o78bo31b2o72bo31b2o\$11bo47bobo78bobo108bobo103bobo119bobo38b2o79bobo29bo73bobo29bo\$11b2o47b2o79b2o109b2o104b2o120b2o40bo79b2o27bobo74b2o27bobo\$10bobo490b2o120b2o4b2o98b2o4b2o\$15b3o485b2o120b2o104b2o\$15bo\$16bo113b2o109b2o104b2o120b2o120b2o104b2o\$131bo110bo105bo121bo121bo105bo\$49bo81bobo43bo64bobo103bobo119bobo119bobo103bobo\$49b2o81b2o33bobo7bobo63b2o34b2obo66b2o34b2obo82b2o34b2obo82b2o34b2obo66b2o34b2obo\$48bobo117b2o7b2o100b2ob3o100b2ob3o116b2ob3o116b2ob3o100b2ob3o\$53b3o112bo116bo60b2o19b2o22bo76b2o19b2o22bo5b2o69b2o19b2o22bo60b2o15bo3b2o22bo\$53bo46bobo176b2ob3o61b2o19b2o16b2ob3o77b2o19b2o16b2ob3o5b2o70b2o19b2o16b2ob3o61b2o15b2o2b2o16b2ob3o\$54bo46b2o177bobo103bobo119bobo9bo109bobo79bobo21bobo\$101bo7bo57b2o70bo40bobo103bobo119bobo119bobo103bobo\$108bo57b2o7b3o62bo26bo13bo105bo121bo121bo105bo\$108b3o57bo6bo62b3o20bo4b2o\$176bo57b2o23b2o5bobo\$97bo129bobo5b2o23b2o\$98bo6bo57b3o62b2o4bo20b3o\$96b3o7b2o57bo48bo13bo26bo64bo121bo121bo105bo\$105b2o57bo7bo40bobo40bo62bobo119bobo119bobo103bobo\$57bo113b2o40bobo103bobo109bo9bobo119bobo103bobo\$58bo112bobo37b3ob2o100b3ob2o16b2o19b2o70b2o5b3ob2o16b2o19b2o77b3ob2o16b2o19b2o61b3ob2o16b2o19b2o\$56b3o46bo104bo105bo22b2o19b2o69b2o5bo22b2o19b2o76bo22b2o19b2o60bo22b2o19b2o\$61bobo31b2o7b2o105b3ob2o100b3ob2o116b3ob2o116b3ob2o100b3ob2o\$61b2o31bobo7bobo33b2o71bob2o34b2o66bob2o34b2o82bob2o34b2o82bob2o34b2o66bob2o34b2o\$62bo33bo43bobo108bobo103bobo119bobo119bobo103bobo\$142bo110bo105bo121bo121bo105bo\$bo140b2o109b2o104b2o120b2o120b2o104b2o\$2bo\$3o444b2o120b2o104b2o\$5bobo439b2o114b2o4b2o98b2o4b2o\$5b2o43b2o79b2o109b2o104b2o79bo40b2o90bobo27b2o74bobo27b2o\$6bo43bobo78bobo108bobo103bobo79b2o38bobo89bo29bobo73bo29bobo\$52bo80bo110bo105bo78b2o41bo88b2o31bo72b2o31bo\$52b2o79b2o109b2o85b2o17b2o95b2o23b2o95b2o23b2o79b2o23b2o\$330b2o115b2o120b2o104b2o\$332bo\$327b2o6b2o85b3o3b3o\$326bobo5b2o88bo5bo\$328bo7bo86bo5bo6\$680bo6bo\$674b2o3b2o5b2o\$673bobo3bobo4bobo\$675bo!`
Last edited by Freywa on June 10th, 2019, 8:20 am, edited 1 time in total.
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Takes another four off of Eye of Sauron:
`x = 90, y = 28, rule = B3/S2383bo\$75bobo3b2o\$12bo58bo3b2o5b2o\$10bobo59b2o2bo\$11b2o2bo55b2o\$14bo\$14b3o61b2o7bobo\$78b2o7b2o\$10b2o62b2o12bo\$9bobo7bo44bobo6bobo\$9bo9bobo43b2o6bo8b2o\$7b2ob4o5b2o44bo5b2ob4o4b2o\$bo4bo2bo4bo55bo2bo4bo9bo\$2bo3b2obob2obo6b3o39b2o5b2obob2obo7b2o\$3o6bob2obob2o3bo42b2o7bob2obob2o5b2o\$9bo4bo2bo4bo40bo9bo4bo2bo\$3b2o5b4ob2o51b2o4b4ob2o5bo\$2bobo9bo53b2o8bo6b2o\$4bo7bobo61bobo6bobo\$12b2o49bo12b2o\$63b2o7b2o\$7b3o52bobo7b2o\$9bo\$8bo2b2o66b2o\$11bobo61bo2b2o\$11bo56b2o5b2o3bo\$69b2o3bobo\$68bo!`

EDIT: The complete 66-glider synthesis, as of Goldtiger's reduction:
`x = 544, y = 96, rule = B3/S23210bo\$209bo\$209b3o19\$179bo\$178bo\$178b3o2\$78bo\$77bo101bo\$77b3o98bobo\$146bo30bo2bo190bo\$12bo74bo56bobo31b2o8bo182bobo\$10bobo63bo9bobo56b2o40bobo181b2o\$11b2o61bobo9bo2bo17bo79bo2bo85bo105bo\$15b3o57b2o10b2o17bo75bo5b2o87bo81bo20b2o\$15bo90b3o73bo28bo63b3o79bobo21b2o\$16bo94b2o69bo27bobo3b2o62bobo75b2o79bo53bo\$111bobo96bo2bo2bobo61b2o157bobo43bobo3b2o\$111bo99b2o3bo55bo8bo3bo97bo55b2o40bo3b2o5b2o\$270bobo11bo75bobo18b2o99b2o2bo\$205b3o63b2o11b3o74b2o19b2o97b2o\$36bo317bo6bo\$35bo317bobo17bo114b2o7bobo\$35b3o235b2o79b2o16b2o65bo48b2o7b2o\$274b2o75bo20bobo51b2o6bo3b2o44b2o12bo37b2o\$107b2o99b2o63bo76bobo72bobo4bobo3bobo33bobo6bobo50bobo\$33b2o71bo2bo97bo2bo74bo2bo62b2o4bo2bo64bo7b2o40b2o6bo8b2o42b3o\$32bobo71bobo98bobo66b2o7b4o68b4o62b2ob4o45bo5b2ob4o4b2o45bo\$34bo72bo100bo66bobo5b2o4b2o64b2o4b2o59bo2bo4bo49bo2bo4bo9bo36b4obo\$277bo6bob2obo66bob2obo60b2obob2obo42b2o5b2obob2obo7b2o36bo4bob2o\$284bob2obo6bo59bob2obo63bob2obob2o40b2o7bob2obob2o5b2o31b3obob2obobobo\$3bo70bo100bo107b2o4b2o5bobo56b2o4b2o62bo4bo2bo39bo9bo4bo2bo38bobobob2obob3o\$3bobo67bobo98bobo108b4o7b2o59b4o65b4ob2o45b2o4b4ob2o5bo34b2obo4bo\$3b2o67bo2bo97bo2bo108bo2bo68bo2bo4b2o54b2o7bo47b2o8bo6b2o36bob4o\$73b2o99b2o124bo64bobo47bobo3bobo4bobo55bobo6bobo36bo\$298b2o43bobo20bo49b2o3bo6b2o43bo12b2o47b3o\$3o296b2o43b2o16b2o52bo56b2o7b2o51bobo\$2bo341bo17bobo107bobo7b2o52b2o\$bo354bo6bo\$176b3o108b3o11b2o31b2o19b2o132b2o\$289bo11bobo31b2o18bobo127bo2b2o\$70bo96bo3b2o115bo3bo8bo32bo80b2o61b2o5b2o3bo\$68bobo94bobo2bo2bo118b2o120bobo62b2o3bobo\$21bo47b2o95b2o3bobo27bo89bobo64b2o56bo61bo\$22bo50b3o96bo28bo94b3o36b2o21bobo\$20b3o52bo17b2o10b2o87b2o5bo94bo39b2o20bo\$25b2o47bo17bo2bo9bobo85bo2bo100bo37bo\$25bobo65bobo9bo88bobo40b2o106b2o\$25bo68bo100bo8b2o31bobo104bobo\$203bo2bo30bo108bo\$102b3o98bobo\$104bo99bo\$103bo2\$203b3o\$205bo\$204bo19\$172b3o\$174bo\$173bo!`
Last edited by BlinkerSpawn on June 10th, 2019, 12:53 pm, edited 1 time in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1889
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

BlinkerSpawn wrote:Takes another four off of Eye of Sauron:

Another two:
`x = 28, y = 28, rule = B3/S2325bo\$25bobo\$25b2o5\$25bo\$12b2o6bo3b2o\$11bobo4bobo3bobo\$11bo7b2o\$9b2ob4o\$8bo2bo4bo\$8b2obob2obo\$11bob2obob2o\$11bo4bo2bo\$12b4ob2o\$7b2o7bo\$bobo3bobo4bobo\$2b2o3bo6b2o\$2bo5\$b2o\$obo\$2bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Eye of Sauron reduced by a further 6 gliders:

`x = 50, y = 40, rule = B3/S2337bo\$37bobo\$37b2o\$48bo\$25bo20b2o\$23bobo21b2o\$24b2o2\$49bo\$26bobo18b2o\$27b2o19b2o\$20bo6bo\$19bobo17bo\$20b2o16b2o\$17bo20bobo\$16bobo\$17b2o4bo2bo\$23b4o\$21b2o4b2o\$22bob2obo\$22bob2obo\$21b2o4b2o\$23b4o\$23bo2bo4b2o\$31bobo\$9bobo20bo\$10b2o16b2o\$10bo17bobo\$22bo6bo\$2o19b2o\$b2o18bobo\$o2\$24b2o\$b2o21bobo\$2b2o20bo\$bo\$11b2o\$10bobo\$12bo!`

Goldtiger997

Posts: 538
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Synthesising Oscillators

Capped B-52 bomber in 37 gliders:
`x = 576, y = 40, rule = B3/S23176bo\$175bo\$171bo3b3o\$169bobo\$170b2o94bo\$175bo89bo\$173b2o90b3o\$174b2o371bo\$52bo492bobo\$51bo126bo367b2o\$51b3o123bo\$177b3o\$147b2o110bobo289bobo\$53b2o92b2o110b2o286bo3b2o\$52bobo205bo29b3o255b2o2bo\$54bo202bo8b2o22b3obo252b2o12bobo\$137bo117bobo8b2o23bobobo51b2o203bo8b2o\$138b2o116b2o34bo2bo41bo8bobo189b2o11bo10bo\$137b2o37b2o115b2o10bo32bo6b3o108b2o79bobo11b3o\$175b2o128bobo28b3o6b2o32b3o73bobo19bo58b3o24b2o\$177bo127b2o41b2o5b2o22b3obo70b3o21bo3bo53b2o24bo2bo4b3o\$6bo240b2o91bo6b3o5b2o23bobobo69b2o20b3ob2o6b3o48b2o5b2o14bo2bo4b3obo\$4bobo239bobo90bobo39bo2bo72b2o5b2o15b2o5b3obo45b3o5b2o15b2o6bobobo\$5b2o3bo155b2o80bo90bobo40b2o72b3o5b2o23bobobo78bo2bo\$bo6b2o52bo5b2o96b2o90b2o80bo6b2o141bo2bo57bo21b2o\$obo6b2o50bobo4bobo64b3o18bo5b2o93bo2bo86b2o142b2o45b2o9b2o\$bo60bo7bo9bo56bo17bobo4bobo92bobobo23b2o9b2o158b2o80b2o10b2o\$70b2o7b2o55bo19bo7bo93bob3o22b2o9bobo83b2o72b2o\$79bobo82b2o94b3o12bo5b2o13bo84bobo6bo161bo20b2o\$139b2o133bobo4bobo7bo55b2o31b3o6bobo99b2o59b2o18bobo\$140b2o133bo7bo7b2o53bo2bo30b2o7bobo98bobo45b2o11bobo17b3o\$139bo143b2o5bobo53bobobo23b2o7b2o5bo65b2o31b3o45bo2bo30b2o\$143b2o202bob3o22b2o6b3o70bo2bo30b2o46bobobo23b2o7b2o\$143bobo203b3o12bo5b2o20b3o60bobobo23b2o7b2o44bob3o22b2o6b3o\$137b3o3bo219bobo4bobo19bo63bob3o22b2o6b3o46b3o12bo5b2o\$139bo224bo7bo9b2o9bo64b3o12bo5b2o73bobo4bobo\$138bo233b2o8b2o88bobo4bobo73bo7bo9b2o\$284b3o186bo7bo9b2o70b2o8b2o\$286bo194b2o8b2o\$285bo!`

The double-barelled gun, thus, can be done in 31:
`x = 525, y = 40, rule = B3/S23125bo\$124bo\$120bo3b3o\$118bobo\$119b2o94bo\$124bo89bo\$122b2o90b3o\$123b2o\$bo\$o126bo\$3o123bo\$126b3o\$96b2o110bobo\$2b2o92b2o110b2o\$bobo205bo29b3o\$3bo202bo8b2o22b3obo266bobo\$86bo117bobo8b2o23bobobo51b2o212b2o\$87b2o116b2o34bo2bo41bo8bobo189b2o22bo\$86b2o37b2o115b2o10bo32bo6b3o108b2o79bobo\$124b2o128bobo28b3o6b2o32b3o73bobo19bo58b3o24b2o\$126bo127b2o41b2o5b2o22b3obo70b3o21bo3bo53b2o24bo2bo4b3o\$196b2o91bo6b3o5b2o23bobobo69b2o20b3ob2o6b3o48b2o5b2o14bo2bo4b3obo\$195bobo90bobo39bo2bo72b2o5b2o15b2o5b3obo45b3o5b2o15b2o6bobobo\$115b2o80bo90bobo40b2o72b3o5b2o23bobobo78bo2bo\$11bo103b2o90b2o80bo6b2o141bo2bo57bo21b2o\$10bobo71b3o18bo100bo2bo86b2o142b2o45b2o9b2o\$11bo17bo56bo17bobo99bobobo23b2o9b2o158b2o80b2o10b2o\$28b2o55bo19bo101bob3o22b2o9bobo83b2o72b2o\$28bobo178b3o12bo20bo84bobo6bo161bo20b2o\$88b2o133bobo14bo55b2o31b3o6bobo99b2o59b2o18bobo\$89b2o133bo15b2o53bo2bo30b2o7bobo98bobo45b2o11bobo17b3o\$88bo150bobo53bobobo23b2o7b2o5bo65b2o31b3o45bo2bo30b2o\$92b2o202bob3o22b2o6b3o70bo2bo30b2o46bobobo23b2o7b2o\$92bobo203b3o12bo27b3o60bobobo23b2o7b2o44bob3o22b2o6b3o\$86b3o3bo219bobo26bo63bob3o22b2o6b3o46b3o12bo\$88bo224bo17b2o9bo64b3o12bo80bobo\$87bo243b2o88bobo80bo17b2o\$233b3o186bo17b2o80b2o\$235bo204b2o\$234bo!`

I also forgot to show the synthesis of Buckingham's p184, which costs 15:
`x = 268, y = 38, rule = B3/S23175bo\$174bo\$174b3o82bo\$259bobo\$254b2o3b2o\$253bo2bo\$174b2o77bo2bo\$173b2o79b2o\$175bo2\$228bobo\$229b2o34bo\$229bo35bobo\$251bo13b2o\$237bobo10b2o\$237b2o11bobo7bo\$232bobo3bo19b2o\$233b2o24b2o\$233bo3\$259b3o\$259bo\$260bo2\$3bo\$3bobo251bo\$3b2o251b2o\$222b2o32bobo\$70b2o69b2o80bo\$b2o68bo12bo57bo77b3o\$2o66b3o13bobo52b3o78bo\$2bo65bo15b2o53bo93b2o\$152b2o80bo\$153bo77b3o\$82b2o66b3o78bo\$81b2o67bo\$83bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Freywa wrote:
BlinkerSpawn wrote:Takes another four off of Eye of Sauron:

Another two:
`x = 28, y = 28, rule = B3/S2325bo\$25bobo\$25b2o5\$25bo\$12b2o6bo3b2o\$11bobo4bobo3bobo\$11bo7b2o\$9b2ob4o\$8bo2bo4bo\$8b2obob2obo\$11bob2obob2o\$11bo4bo2bo\$12b4ob2o\$7b2o7bo\$bobo3bobo4bobo\$2b2o3bo6b2o\$2bo5\$b2o\$obo\$2bo!`

Another four:
`x = 32, y = 38, rule = B3/S2331bo\$29b2o\$30b2o2\$18bobo\$19b2o\$19bo\$22bobo\$17bo4b2o\$18bo4bo\$16b3o8bo\$25b2o\$26b2o\$14b2o13b2o\$13bobo13bobo\$13bo15bo\$11b2ob4o6b2o\$10bo2bo4bo5bobo\$10b2obob2obo5bo\$7bo5bob2obob2o\$5bobo5bo4bo2bo\$6b2o6b4ob2o\$2bo15bo\$obo13bobo\$b2o13b2o\$4b2o\$5b2o\$4bo8b3o\$8bo4bo\$8b2o4bo\$7bobo\$12bo\$11b2o\$11bobo2\$2o\$b2o\$o!`
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 473
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: Synthesising Oscillators

On Sunday, I concocted this Rube-Goldberg converter to edge-shoot a hook-with-tail tines-first. I'm not sure how useful it will turn out to be. (I originally experimented with this years ago, without success, trying to build the trans 16-bit pseudo-still-lifes with two of these touching, but this particular mechanism isn't suitable for either the cis- or trans- form). It did solve 3 of the unsolved 19-bit quasi-still-lives. I'm sure the 7-glider pre-block from above or the 5-glider spark from the left can probably be greatly improved:
`x = 148, y = 53, rule = B3/S2314boo\$14b3o\$14b3o\$13boboo\$13b3o\$14bo5\$20boo\$21boo\$20bo3bobo35boo\$24boo36boo\$25bo3\$24bobo\$25boo\$25bo\$7bo33bo\$8bo27bo4bobo\$obo3b3o27bobobboo\$boo33boo\$bo\$\$39bo\$38bo\$38b3o11\$60boo18bobobo15boo18boo18boo\$22bo38bo39bo19bo19bo\$16boo3bobo37boboo36boboo16boboo16boboo\$16boo4bo39bobo37bobo17bobo17bobo\$\$101bo17boo20bo\$100boboboo13bo4bo15boboboo\$99bobboobo14bobbobo15bo3bo\$99boo20bobbo20bobo\$122boo22boo\$\$41boo\$41bobo\$41bo!`

EDIT: A couple of (unfortunately, fairly useless) attempts to make edgy caterers, based on soups. I was hoping to eliminate some of the unsynthesized carerer-pairs by using these back to back; unfortunately, in each case, the active area forms a domino shifted one cell sideways one cycle before being in the correct place, so the only way this wouldn't be intrusive is if two of them induct each other along a line of symmetry.

This is theoretically possible with the bottom mechanism; unfortunately, I haven't been able to find a way to get two of them back to back without incoming gliders interfering with each other. (It's basically lom+traffic-light+blinker; making the lom from block+loaf seems best for not crossing the line of induction).
`x = 139, y = 81, rule = B3/S2363bo\$64boo\$63boo\$67bobo\$67boo\$68bo\$\$50bo\$51bo7bobo34bo\$49b3o8boo29b4o3bo\$60bo33bo3bo\$98bo\$21boo48boo22bo\$3o18boo38boo8boo23boo\$bbo59boo\$bo59bo\$3b3o\$3bo17bo26boo21bo\$4bo15bobo24bobo13boo5bobo\$3o17bobo26bo14boo4bobo47boo\$bbo18bo41bo7bo48boo\$bo\$\$34boo\$35boo\$34bo\$\$51boo\$50boo\$52bo18\$81b3o\$81bo\$82bo5\$68boo\$67bobo\$67bo\$66boo6\$69b3o8bo\$69bo9bo\$70bo8b3o3\$60b3o12bobo18bo39bo\$75boo14b4o3bo12bobobo15b4o3bo\$76bo17bo3bo35bo3bo\$65boo31bo39bo\$65boo28bo39bo\$77bo18boo38boo\$76boo\$76bobo57boo\$135bo\$138bo\$134bo3bo\$131b4o3bo\$136bo!`
mniemiec

Posts: 1043
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Four 18-bit P2s from soups:
18p2-253 (xp2_07g60922z2240307) from 22. I'm fairly sure the broken hat can be made from 5 gliders instead of 3; unfortunately, it's a methuselah I never kept track of. I'm sure somebody has a better way of making it.
`x = 254, y = 92, rule = B3/S23129bo\$129bobo\$129boo26\$89bobo\$17bo71boo4bo\$17bobo70bo3bobo\$17boo66bo8bobo\$86bobb3obooboo\$84b3o4bo\$13boo75bo\$11bobobo\$9bobobo\$10boo168bo\$179bobo\$179boo\$\$77bo7boo21bo71bo\$78bo7boo19bo59bo3bo7boo66bo3bo\$76b3o6bo17bo3b3o57bobobboo5bobo65bobobboo\$102bo59boo3bobo77bobo\$102b3o57boo7bo79bo\$75b3o90bo7boo70bo\$77bo92bobo3boo72bobo\$70b3o3bo17bo6b3o54bobo5boobbobo73boobbobo\$72bo19boo7bo57boo7bo3bo75bo3bo\$71bo21boo7bo56bo\$\$159boo\$158bobo\$8boo149bo\$6bobobo\$4bobobo\$5boo82bo\$88bo4b3o\$82booboob3obbo\$boo80bobo8bo\$obo80bobo3bo\$bbo81bo4boo\$88bobo26\$49boo\$48bobo\$50bo!`

18p2-421 (xp2_4l11488zw224ggl4) from 20.
`x = 198, y = 73, rule = B3/S23131bo\$129boo\$130boo22\$bo\$bbo151bo\$3o64bo84boo\$60boo3bobo52boo31boo\$bbo57bobo3boo52bobo39bo\$boo58bo59bo40bobo\$bobo63bo12bo46boo26boo5boo\$67boo9bobo45bobbo24boo\$66bobo10boo45bobbo26bo33bo\$82bo44boo59bobobo\$82bobo56boo45bo5bo\$82boo56bobbo44bo5bo\$123boo16boo47bo4bo\$62boo58bobbo65bo5bo\$61bobo59boo66bo5bo\$63bo73boo54bobobo\$65boo10bobo29bo26bobbo55bo\$65bobo9boo31boo24bobbo\$22bobo40bo12bo23boo5boo26boo\$23boo59bo16bobo40bo\$23bo54boo3bobo17bo39bobo\$78bobo3boo25boo31boo\$23b3o52bo33boo\$23bo87bo\$24bo22\$134boo\$135boo\$134bo!`

18p2-444 (xp2_e0j0288zw2280p0e) from 20, but clean up could probably be improved.
`x = 240, y = 47, rule = B3/S23136bo\$134bobo\$135boo\$138bo\$137bobo\$137bobo\$138bo22bo\$85bo74bo\$83boo48boo25b3o\$79bobobboo46bobbo21boo\$80boo51boo21bobbo\$80bo76boo13bo\$75b3o94bobo\$bbo124bo44boo\$obo21bo48bo5bo47boo4boo\$boobboo15bobo48bo5bo13boo31bobo3bobbo34boo\$4bobo16boob3o44bo5bo12bobbo37boo3b3o29boo\$6bo19bo66bobo\$27bo47b3o16bo\$161b3o67b3o\$\$160boobbobo63boobbobo\$166bo69bo\$161bo6bo62bo6bo\$163bo69bo\$163bobobboo63bobobboo\$\$166b3o67b3o\$22bo72bo16b3o\$23bo19bo50bobo\$21b3oboo16bobo48bobbo12bo5bo41boo29b3o3boo\$25bobo15boobboo46boo13bo5bo41boo34bobbo3bobo\$25bo21bobo60bo5bo78boo4boo\$47bo108boo44bo\$112b3o40bobo\$109bo47bo13boo\$108boo60bobbo21boo\$104boobbobo60boo21bobbo\$105boo60b3o25boo\$104bo64bo\$168bo22bo\$190bobo\$190bobo\$191bo\$193boo\$193bobo\$193bo!`

18p2-379 (xp2_70q13zwogb0s) from 32, but clean up could probably be improved.
`x = 261, y = 79, rule = B3/S23192bo\$191bo\$191b3o12\$205bo\$203bobo\$134bo69boo\$133bo\$133b3o70boo\$131bo74boo\$132bo\$130b3o33bo4boo\$167boobboo\$166boo\$92bo\$90boo73bo\$91boo47bo24boo\$86bobo52bo22bobo\$87boo50b3o\$54bo32bo55bo\$55bo86bo\$53b3o86b3o37boo\$57bo72b3o37b3o9boo\$57bobo\$57boo170bo\$45b3o6bo30b3o37b3o37b3o61bobo\$6bo45boo40bo39bo39bo36b3o15boo20b3o\$4bobo36bo5bo3boo9b3o16bo10bo9b3o16bo10bo9b3o16bo10bo9b3o\$boobboo22bo13bo5bo33bo10bo28bo10bo28bo10bo28bo8boboo3boo7bo23boboo3boo\$obo26bobo11bo5bo12bo5bo14bo24bo14bo24bo14bo24bo14bo7bo8bo7bo22bo8bo\$bbo22boobboo31bo5bo28bo10bo28bo10bo28bo10bo14bo7boo3boobo8bo22boo3boobo\$25bobo17b3o9boo3bo5bo16b3o9bo10bo16b3o9bo10bo16b3o9bo10bo\$25bo32boo37bo39bo39bo23boo15b3o37b3o\$57bo6b3o37b3o37b3o37b3o13bobo\$53boo147bo\$52bobo\$54bo84b3o26boo9b3o\$56b3o68b3o38boo\$56bo72bo\$57bo46bo23bo\$103boo25b3o\$103bobo24bo54bobo\$99boo30bo53boo\$100boo84bo\$99bo\$184boo\$179boobboo\$139b3o37boo4bo\$139bo\$140bo83boo\$136b3o85boo\$138bo\$137bo88boo\$226bobo\$226bo12\$158b3o\$160bo\$159bo!`
mniemiec

Posts: 1043
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:Four 18-bit P2s from soups:18p2-379 (xp2_70q13zwogb0s) from 32, but clean up could probably be improved.

30 is easy enough; 28 might be possible, but would need an exhaustive search with a script unless someone stumbles on a solution with Seeds of Destruction.

`x = 411, y = 61, rule = B3/S23242bobo\$243b2o\$243bo5\$194bo\$193bo\$193b3o\$191bo\$192bo\$190b3o73bo4b2o\$267b2o2b2o\$266b2o\$132bo\$130b2o133bo\$131b2o67bo64b2o\$126bobo72bo62bobo\$127b2o70b3o\$74bo52bo75bo\$75bo126bo\$73b3o126b3o77b2o\$77bo112b3o77b3o9b2o\$77bobo\$77b2o290bo\$65b3o6bo50b3o57b3o77b3o101bobo\$6bo65b2o60bo59bo79bo76b3o15b2o30b3o\$4bobo56bo5bo3b2o9b3o36bo10bo9b3o36bo10bo9b3o56bo10bo9b3o\$b2o2b2o22bo33bo5bo53bo10bo48bo10bo68bo10bo68bo8bob2o3b2o7bo33bob2o3b2o\$obo26bobo31bo5bo12bo5bo34bo24bo34bo24bo54bo24bo54bo7bo8bo7bo32bo8bo\$2bo22b2o2b2o51bo5bo48bo10bo48bo10bo68bo10bo54bo7b2o3b2obo8bo32b2o3b2obo\$25bobo37b3o9b2o3bo5bo36b3o9bo10bo36b3o9bo10bo56b3o9bo10bo\$25bo52b2o57bo59bo79bo63b2o15b3o47b3o\$77bo6b3o57b3o57b3o77b3o53bobo\$73b2o267bo\$72bobo\$74bo124b3o66b2o9b3o\$76b3o108b3o78b2o\$76bo112bo\$77bo66bo43bo\$143b2o45b3o\$143bobo44bo94bobo\$139b2o50bo93b2o\$140b2o144bo\$139bo\$284b2o\$279b2o2b2o\$199b3o77b2o4bo\$199bo\$200bo\$196b3o\$198bo\$197bo5\$308bo\$307b2o\$307bobo!`

dvgrn
Moderator

Posts: 5827
Joined: May 17th, 2009, 11:00 pm

### Re: Synthesising Oscillators

mniemiec wrote:18p2-253 (xp2_07g60922z2240307) from 22. I'm fairly sure the broken hat can be made from 5 gliders instead of 3; unfortunately, it's a methuselah I never kept track of. I'm sure somebody has a better way of making it.
`<snip rle>`

Yes, the 3G collision search database has several methods of making broken hat. Here's one that fits nicely:
`x = 88, y = 96, rule = B3/S2385bobo\$85b2o\$86bo23\$51bo\$51bobo\$51b2o3\$47bo\$36bo8bobo\$37b2o7b2o2bo\$36b2o12bobo\$50b2o7\$28bo36bo\$29b2o32b2o\$28b2o30bo3b2o\$58b2o\$37b2o20b2o\$36bobo\$38bo\$49bo\$49bobo\$27b2o20b2o\$28b2o\$22b2o3bo30b2o\$23b2o32b2o\$22bo36bo7\$36b2o\$35bobo12b2o\$37bo2b2o7b2o\$40bobo8bo\$40bo3\$35b2o\$34bobo\$36bo23\$bo\$b2o\$obo!`
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1237
Joined: August 9th, 2013, 12:45 am

### Re: Synthesising Oscillators

mniemiec wrote:Four 18-bit P2s from soups:
18p2-253 (xp2_07g60922z2240307) from 22. I'm fairly sure the broken hat can be made from 5 gliders instead of 3; unfortunately, it's a methuselah I never kept track of. I'm sure somebody has a better way of making it.
`x = 254, y = 92, rule = B3/S23129bo\$129bobo\$129boo26\$89bobo\$17bo71boo4bo\$17bobo70bo3bobo\$17boo66bo8bobo\$86bobb3obooboo\$84b3o4bo\$13boo75bo\$11bobobo\$9bobobo\$10boo168bo\$179bobo\$179boo\$\$77bo7boo21bo71bo\$78bo7boo19bo59bo3bo7boo66bo3bo\$76b3o6bo17bo3b3o57bobobboo5bobo65bobobboo\$102bo59boo3bobo77bobo\$102b3o57boo7bo79bo\$75b3o90bo7boo70bo\$77bo92bobo3boo72bobo\$70b3o3bo17bo6b3o54bobo5boobbobo73boobbobo\$72bo19boo7bo57boo7bo3bo75bo3bo\$71bo21boo7bo56bo\$\$159boo\$158bobo\$8boo149bo\$6bobobo\$4bobobo\$5boo82bo\$88bo4b3o\$82booboob3obbo\$boo80bobo8bo\$obo80bobo3bo\$bbo81bo4boo\$88bobo26\$49boo\$48bobo\$50bo!`

18p2-421 (xp2_4l11488zw224ggl4) from 20.
`x = 198, y = 73, rule = B3/S23131bo\$129boo\$130boo22\$bo\$bbo151bo\$3o64bo84boo\$60boo3bobo52boo31boo\$bbo57bobo3boo52bobo39bo\$boo58bo59bo40bobo\$bobo63bo12bo46boo26boo5boo\$67boo9bobo45bobbo24boo\$66bobo10boo45bobbo26bo33bo\$82bo44boo59bobobo\$82bobo56boo45bo5bo\$82boo56bobbo44bo5bo\$123boo16boo47bo4bo\$62boo58bobbo65bo5bo\$61bobo59boo66bo5bo\$63bo73boo54bobobo\$65boo10bobo29bo26bobbo55bo\$65bobo9boo31boo24bobbo\$22bobo40bo12bo23boo5boo26boo\$23boo59bo16bobo40bo\$23bo54boo3bobo17bo39bobo\$78bobo3boo25boo31boo\$23b3o52bo33boo\$23bo87bo\$24bo22\$134boo\$135boo\$134bo!`

18p2-444 (xp2_e0j0288zw2280p0e) from 20, but clean up could probably be improved.
`x = 240, y = 47, rule = B3/S23136bo\$134bobo\$135boo\$138bo\$137bobo\$137bobo\$138bo22bo\$85bo74bo\$83boo48boo25b3o\$79bobobboo46bobbo21boo\$80boo51boo21bobbo\$80bo76boo13bo\$75b3o94bobo\$bbo124bo44boo\$obo21bo48bo5bo47boo4boo\$boobboo15bobo48bo5bo13boo31bobo3bobbo34boo\$4bobo16boob3o44bo5bo12bobbo37boo3b3o29boo\$6bo19bo66bobo\$27bo47b3o16bo\$161b3o67b3o\$\$160boobbobo63boobbobo\$166bo69bo\$161bo6bo62bo6bo\$163bo69bo\$163bobobboo63bobobboo\$\$166b3o67b3o\$22bo72bo16b3o\$23bo19bo50bobo\$21b3oboo16bobo48bobbo12bo5bo41boo29b3o3boo\$25bobo15boobboo46boo13bo5bo41boo34bobbo3bobo\$25bo21bobo60bo5bo78boo4boo\$47bo108boo44bo\$112b3o40bobo\$109bo47bo13boo\$108boo60bobbo21boo\$104boobbobo60boo21bobbo\$105boo60b3o25boo\$104bo64bo\$168bo22bo\$190bobo\$190bobo\$191bo\$193boo\$193bobo\$193bo!`

18p2-379 (xp2_70q13zwogb0s) from 32, but clean up could probably be improved.
`x = 261, y = 79, rule = B3/S23192bo\$191bo\$191b3o12\$205bo\$203bobo\$134bo69boo\$133bo\$133b3o70boo\$131bo74boo\$132bo\$130b3o33bo4boo\$167boobboo\$166boo\$92bo\$90boo73bo\$91boo47bo24boo\$86bobo52bo22bobo\$87boo50b3o\$54bo32bo55bo\$55bo86bo\$53b3o86b3o37boo\$57bo72b3o37b3o9boo\$57bobo\$57boo170bo\$45b3o6bo30b3o37b3o37b3o61bobo\$6bo45boo40bo39bo39bo36b3o15boo20b3o\$4bobo36bo5bo3boo9b3o16bo10bo9b3o16bo10bo9b3o16bo10bo9b3o\$boobboo22bo13bo5bo33bo10bo28bo10bo28bo10bo28bo8boboo3boo7bo23boboo3boo\$obo26bobo11bo5bo12bo5bo14bo24bo14bo24bo14bo24bo14bo7bo8bo7bo22bo8bo\$bbo22boobboo31bo5bo28bo10bo28bo10bo28bo10bo14bo7boo3boobo8bo22boo3boobo\$25bobo17b3o9boo3bo5bo16b3o9bo10bo16b3o9bo10bo16b3o9bo10bo\$25bo32boo37bo39bo39bo23boo15b3o37b3o\$57bo6b3o37b3o37b3o37b3o13bobo\$53boo147bo\$52bobo\$54bo84b3o26boo9b3o\$56b3o68b3o38boo\$56bo72bo\$57bo46bo23bo\$103boo25b3o\$103bobo24bo54bobo\$99boo30bo53boo\$100boo84bo\$99bo\$184boo\$179boobboo\$139b3o37boo4bo\$139bo\$140bo83boo\$136b3o85boo\$138bo\$137bo88boo\$226bobo\$226bo12\$158b3o\$160bo\$159bo!`

18p2-253 from 18. Broken hats not necessary.
`x = 153, y = 88, rule = B3/S2337bo\$38bo\$36b3o30\$136bo4bo\$135bobob2o\$136b2o2b2o\$61bobo\$3bo20b2o36b2o4bobo13b2o58b2o\$bobo2b2o16bobo3bo31bo6b2o13bobo57b2o\$2b2ob2o18bo4bobo36bo15bo\$7bo22b2o35bo\$67b2o72bo\$30bo35bobo20b2o50bo3b3o\$29b2o57bo2bo48bo2bo\$29bobo45b2o9bo2bo53b2o\$16bobo57bo2bo9b2o50b2o\$17b2o57bo2bo64bo2bo\$17bo59b2o20bobo38b3o3bo\$99b2o45bo\$o15b2o82bo\$b2ob2o9bobo4bo59bo15bo\$2o2bobo10bo3bobo57bobo13b2o6bo36b2o\$4bo17b2o58b2o13bobo4b2o36b2o\$104bobo\$146b2o2b2o\$147b2obobo\$146bo4bo30\$129b3o\$129bo\$130bo!`
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

### Re: Synthesising Oscillators

Period 246 gun from 19 gliders.
`x = 254, y = 54, rule = B3/S2340bo\$41bo\$39b3o6\$34bobo92bo96bo\$2bo31b2o93b3o20bo2bo70b3o\$obo32bo96bo19bo76bo19bo\$b2o128b2o18bo4bo71b2o18bob4o\$36b3o111bobo2b2o90bobob3o\$36bo111b2obo94bobo\$37bo209bo\$52bo194b2o\$53bo94bo2bo95b2o\$51b3o96b2o95b2o\$55b3o\$57bo\$56bo5\$235bo\$48b3o182bobo2b2o\$28bo21bo183b2ob2o\$26b2o21bo189bo\$27b2o201bobo\$231b2o\$231bo4\$19bo4bo\$20b2ob2o118bo\$19b2o2bobo94b2o21bobo71b2o20b2o\$120b2o21b2o72bo2bo18b2o\$120b2o\$121bo23b3o\$120bobo22bo71bob2o\$115b3obobo24bo65b2o2bobo\$115b4obo91bo4bo\$76b2o41bo17bo78bo\$75b2o59bo76bo2bo\$77bo58b3o\$231b2o\$135bo96bo\$134b2o93b3o\$134bobo92bo\$36b2o\$35b2o\$37bo!`

Related period 246 oscillator from 17 gliders.
`x = 157, y = 54, rule = B3/S2340bo\$41bo\$39b3o6\$34bobo92bo\$2bo31b2o93b3o\$obo32bo96bo19bo\$b2o128b2o18bob4o\$36b3o111bobob3o\$36bo112bobo\$37bo112bo\$52bo97b2o\$53bo96b2o\$51b3o96b2o\$55b3o\$57bo\$56bo5\$138bo\$48b3o85bobo2b2o\$28bo21bo86b2ob2o\$26b2o21bo92bo\$27b2o104bobo\$134b2o\$134bo4\$19bo4bo\$20b2ob2o\$19b2o2bobo94b2o\$120bo2bo2\$40bo\$41bo78bob2o\$39b3o73b2o2bobo\$115bo4bo18b2o\$42bo33b2o41bo19bo\$42b2o31b2o39bo2bo20b3o\$41bobo33bo64bo5\$36b2o\$35b2o\$37bo!`

I am a little surprised that the glider gun is known but not the oscillator.
Any questions?
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

### Re: Synthesising Oscillators

mattiward wrote:Related period 246 oscillator from 17 gliders.
`x = 157, y = 54, rule = B3/S2340bo\$41bo\$39b3o6\$34bobo92bo\$2bo31b2o93b3o\$obo32bo96bo19bo\$b2o128b2o18bob4o\$36b3o111bobob3o\$36bo112bobo\$37bo112bo\$52bo97b2o\$53bo96b2o\$51b3o96b2o\$55b3o\$57bo\$56bo5\$138bo\$48b3o85bobo2b2o\$28bo21bo86b2ob2o\$26b2o21bo92bo\$27b2o104bobo\$134b2o\$134bo4\$19bo4bo\$20b2ob2o\$19b2o2bobo94b2o\$120bo2bo2\$40bo\$41bo78bob2o\$39b3o73b2o2bobo\$115bo4bo18b2o\$42bo33b2o41bo19bo\$42b2o31b2o39bo2bo20b3o\$41bobo33bo64bo5\$36b2o\$35b2o\$37bo!`

I am a little surprised that the glider gun is known but not the oscillator.
Any questions?

The oscillator actually does have a synthesis in Catagolue: http://catagolue.appspot.com/object/xp2 ... 354c/b3s23
Ian07

Posts: 307
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

Double X in 91 gliders:
`x = 864, y = 193, rule = B3/S23268bo\$269b2o\$268b2o\$273bo3bobo\$274bo2b2o\$272b3o3bo\$370bobo122bobo\$370b2o95bo28b2o\$371bo95bo2b2o24bo70b3o3bo27b3o3bo138b4o30b4o\$381b2o5b2o61b2o13bo5bo5b2o5b2o73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o107b2o14bo2b2o6b2o5b2o14bo2b2o6b2o\$364bobo14b2o5b2o61b2o14bobo2b2o4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o107b2o15bo2b2o5b2o5b2o15bo2b2o5b2o\$365b2o3bo96bo3b2o24bo3b2o62b2o3bo2bo25b2o3bo2bo139bo2bo30bo2bo\$365bo4bobo96b3o23bobo4bo63bo3b3o27bo3b3o141b2o32b2o\$370b2o80b2o3b2o37b2o234bo3bo29bo3bo\$451bo2bobo2bo9b3o94bo3b3o27bo3b3o124bobobobo10b2o15bobobobo10b2o\$450bo9bo6bo3b2o92b2o3bo2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo\$449b2o9b2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo120b2o7b2o7bo2b2o11b2o7b2o7bo2b2o\$450bo9bo5bo5bo92b5o2bobo24b5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2bobo2b2o6bo2b2o\$451bo2bobo2bo7bo2b2o95b3o3bo27b3o3bo123bobobobo8b4o15bobobobo8b4o\$452b2o3b2o8bo264bo3bo29bo3bo3\$737b2o\$736b2o\$738bo3\$339bo188bo\$339b2o186b2o127bobo119b3o\$338bobo186bobo127b2o121bo\$657bo121bo2\$398bo70bo\$397b2o70b2o278bo109bo\$397bobo68bobo186bobo88b2o108bo\$658b2o88bobo107b3o\$658bo3\$668bo98b2o89bo\$669b2o95bobo88bo\$668b2o98bo88b3o4\$669bo90b2o85bo\$670b2o87b2o86bobo\$669b2o90bo85b2o4\$679bobo73b3o88bo\$680b2o75bo88bobo\$680bo75bo89b2o3\$772bo63bo\$680bobo88b2o62bo\$681b2o88bobo61b3o\$681bo3\$691bo52b2o89bo\$692b2o49bobo88bo\$691b2o52bo88b3o4\$692bo90b2o39bo\$693b2o87b2o40bobo\$692b2o90bo39b2o4\$702bobo27b3o88bo\$703b2o29bo88bobo\$703bo29bo89b2o3\$795bo17bo\$703bobo88b2o16bo\$704b2o88bobo15b3o\$704bo3\$714bo6b2o89bo\$715b2o3bobo88bo\$714b2o6bo88b3o4\$715bo85bo4b2o\$716b2o83bobob2o\$715b2o84b2o4bo4\$725bobo\$726b2o\$726bo9\$564bo53bo\$565bo51bo\$563b3o51b3o115b2o49b2o\$735b2o49b2o\$101bobo49bobo\$101b2o51b2o404b3o57b3o\$102bo51bo407bo57bo\$561bo59bo2\$42bobo167bobo\$43b2o167b2o\$43bo169bo2\$723b2o\$722bobo\$724bo3\$718b2o\$11bo125b2o3b2o8bo213bo8b2o3b2o18bo8b2o3b2o36b2o3b2o8bo18b2o3b2o8bo217b2o11bo3bo29bo3bo33b2o\$9b2o125bo2bobo2bo7bo2b2o95b3o3bo27b3o3bo69b2o2bo7bo2bobo2bo13b2o2bo7bo2bobo2bo34bo2bobo2bo7bo2b2o13bo2bobo2bo7bo2b2o61b3o3bo27b3o3bo110bo12bobobobo8b4o15bobobobo8b4o19b2o\$10b2o123bo9bo5bo5bo92b5o2bobo24b5o2bobo67bo5bo5bo9bo11bo5bo5bo9bo32bo9bo5bo5bo11bo9bo5bo5bo58b5o2bobo24b5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2bobo2b2o6bo2b2o20bo\$obo3bo127b2o9b2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo66b2o2bobo5b2o9b2o9b2o2bobo5b2o9b2o30b2o9b2o5bobo2b2o9b2o9b2o5bobo2b2o56b2o3b2o3bo23b2o3b2o3bo120b2o7b2o7bo2b2o11b2o7b2o7bo2b2o\$b2o2bo129bo9bo6bo3b2o92b2o3bo2bo25b2o3bo2bo68b2o3bo6bo9bo11b2o3bo6bo9bo32bo9bo6bo3b2o11bo9bo6bo3b2o58b2o3bo2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo\$bo3b3o128bo2bobo2bo9b3o94bo3b3o27bo3b3o70b3o9bo2bobo2bo13b3o9bo2bobo2bo34bo2bobo2bo9b3o13bo2bobo2bo9b3o60bo3b3o27bo3b3o124bobobobo10b2o15bobobobo10b2o24b3o\$74b2o61b2o3b2o37b2o192b2o3b2o27b2o3b2o36b2o3b2o27b2o3b2o218b3o18bo3bo29bo3bo37bo\$69bo4bobo77b3o23bobo4bo63bo3b3o27bo3b3o70b3o31b3o70b3o31b3o60bo3b3o27bo3b3o106bo34b2o32b2o25bo\$69b2o3bo77bo3b2o24bo3b2o62b2o3bo2bo25b2o3bo2bo68b2o3bo28b2o3bo66bo3b2o28bo3b2o58b2o3bo2bo25b2o3bo2bo104bo34bo2bo30bo2bo\$68bobo14b2o5b2o42b2o14bobo2b2o4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o46b2o4b2o2bobo14b2o5b2o4b2o2bobo14b2o34b2o14bobo2b2o4b2o5b2o14bobo2b2o4b2o46b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o107b2o15bo2b2o5b2o5b2o15bo2b2o5b2o\$85b2o5b2o42b2o13bo5bo5b2o5b2o73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o46b2o5bo5bo13b2o5b2o5bo5bo13b2o34b2o13bo5bo5b2o5b2o13bo5bo5b2o46b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o84bo22b2o14bo2b2o6b2o5b2o14bo2b2o6b2o\$75bo76bo2b2o24bo70b3o3bo27b3o3bo69b2o2bo29b2o2bo66bo2b2o29bo2b2o61b3o3bo27b3o3bo99b2o37b4o30b4o32bo\$74b2o76bo28b2o183bo33bo66bo33bo204bobo106b2o\$74bobo103bobo632bobo3\$820b2o\$700b2o118bobo\$699bobo118bo\$701bo3\$695b2o\$696b2o129b2o\$695bo130b2o\$828bo3\$831b3o\$688b3o140bo\$690bo141bo\$689bo2\$684bo\$684b2o153bo\$683bobo152b2o\$838bobo3\$843b2o\$677b2o164bobo\$676bobo164bo\$678bo3\$672b2o\$673b2o175b2o\$672bo176b2o\$851bo3\$854b3o\$665b3o186bo\$667bo187bo\$666bo2\$661bo\$661b2o199bo\$660bobo198b2o\$861bobo4\$654b2o\$653bobo\$655bo!`

The 91 gliders very nicely split into seven sets of 13: two sets for the two pairs of twin bees shuttles, one set for the X that is simply fed into the oscillator as-is and four sets for each LWSS that is injected to form the other X.

Edit: Achim's p11 reduced to 75 gliders:
`x = 827, y = 80, rule = B3/S23731bo\$731bobo\$731b2o3\$740bo\$740bobo\$727bo12b2o\$727bobo\$727b2o2\$452bo\$452bobo\$452b2o\$683bo\$684bo23bo\$682b3o22bo\$707b3o\$429bobo180bobo4bo\$377bo52b2o181b2o2b2o\$375bobo52bo182bo4b2o84b3o98bo\$376b2o3bo421bobo\$380bo72bo350b2o3bo\$380b3o68b2o225bo129b2o\$452b2o225bo128b2o\$269bobo405b3o128bo\$269b2o48bo99bo67bo5bo76bobo\$248bo9bo11bo46bobo5bobo92b2o20b3o43b2o2bo77b2o74bo38bo50bo\$246bobo10b2o57b2o6b2o3bo87b2o66b2o3b3o76bo72b2o40bo49bo\$247b2o9b2o66bo3bo84b2o228b2o37b3o49bo69b2o\$330b3o81bobo322b2o61bo3b2o3bo\$373bo2bo39bo22bo2bo56b2o52bo3b2o5bobo3b2o47bo3b2o5bo80bo3b2o5bo16bobo59bo10bo\$9bo180bo182b4o62b4o49b2o5b2o51bobo2b2o6b2o3bobo45bobo2b2o4bobo13bo64bobo2b2o4bobo15bo60bo3bo4bo3bo\$7b2o179bobo227b2o73b2o56bobo11bo4bo46bobo10bobo11b2o63bobo10bobo74bob2o3b2o3b2obo\$8b2o127bo51b2o182b4o41bobo18b4o12bo36bo6b4o47bobo4b4o55bobo4b4o4bobo10bobo61bobo4b4o4bobo72bobob4o2b4obobo\$12bobo120bobo235bo2bo41bo20bo2bo11b2o43bo2bo48bo5bo2bo56bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo\$12b2o122b2o124bo51b2o138bobo344b2o8b2o12bo\$13bo74bo97b3o73bo52b2o472b3o7bob2o8b2obo9bo\$2bo49b2ob2o30bo10b2ob2o48b2ob2o32bo9b2ob2o8b2ob2o46bo3b2ob2o8b2ob2o30bo6b2o8b2ob2o33b2o8b2ob2o51b2o8b2ob2o45b2o8b2ob2o43b2o8b2ob2o51b2o8b2ob2o77b2o8b2ob2o64b3o8bo10bo11b3o\$obo50bob2o30b3o9bob2o31b2o16bob2o31bo11bobo10bob2o51bobo10bob2o37bo10bob2o33bo10bob2o51bo10bob2o45bo10bob2o43bo10bob2o51bo10bob2o77bo10bob2o70b2o2bo12bo2b2o\$b2o50bo45bo35b2o15bo46bobo10bo54bobo10bo37b2obo10bo33b2obo10bo51b2obo10bo45b2obo10bo43b2obo10bo51b2obo10bo77b2obo10bo73b2o2bo12bo2b2o\$5b2o45b2o44b2o34bo16b2o45b2ob2o8b2o53b2ob2o8b2o37b2ob2o8b2o33b2ob2o8b2o51b2ob2o8b2o45b2ob2o8b2o43b2ob2o8b2o51b2ob2o8b2o77b2ob2o8b2o64b3o11bo10bo8b3o\$4bobo38bobo741bo9bob2o8b2obo7b3o\$6bo39b2o40b3o3bo693bo12b2o8b2o\$46bo43bo2bobo49bo2bo56bo2bo64bo2bo48bo2bo44bo2bo62bo2bo56bo2bo54bo2bo5bo50bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo\$89bo4b2o49b4o56b4o64b4o48b4o44b4o62b4o56b4o6bo47b4o4bobo35bobo10bobo4b4o4bobo74bobo4b4o4bobo72bobob4o2b4obobo\$507b2o38bo4bo11bobo37b2o11bobo10bobo76bobo10bobo74bob2o3b2o3b2obo\$94b2o37b3o11b2o58b2o66b2o50b2o46b2o64b2o58b2o5b2o35bobo3b2o6b2o2bobo38bo13bobo4b2o2bobo62bo15bobo4b2o2bobo76bo3bo4bo3bo\$47b2o45b2o39bo11b2o58b2o45bo20b2o50b2o46b2o64b2o58b2o43b2o3bobo5b2o3bo54bo5b2o3bo61bobo16bo5b2o3bo78bo10bo\$46bobo85bo119b2o437b2o107bo3b2o3bo\$48bo95bo108bobo347b2o92bo49b3o56b2o\$51b2o90b2o362b3o3b2o31bo57b2o91bo49bo\$51bobo89bobo363bo2b2o32b2o55bo93bo50bo\$51bo456bo5bo30bobo\$754b3o48bo\$754bo49b2o\$755bo48b2o\$804bo3b2o\$266bo541bobo\$259bo5b2o363b2o4bo90b3o78bo\$260bo4bobo363b2o2b2o\$258b3o369bo4bobo\$724b3o\$262b3o461bo22b3o\$264bo460bo23bo\$263bo486bo5\$705b2o\$704bobo\$692b2o12bo\$691bobo\$693bo3\$701b2o\$700bobo\$702bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Freywa wrote:Double X in 91 gliders:
`x = 864, y = 193, rule = B3/S23268bo\$269b2o\$268b2o\$273bo3bobo\$274bo2b2o\$272b3o3bo\$370bobo122bobo\$370b2o95bo28b2o\$371bo95bo2b2o24bo70b3o3bo27b3o3bo138b4o30b4o\$381b2o5b2o61b2o13bo5bo5b2o5b2o73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o107b2o14bo2b2o6b2o5b2o14bo2b2o6b2o\$364bobo14b2o5b2o61b2o14bobo2b2o4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o107b2o15bo2b2o5b2o5b2o15bo2b2o5b2o\$365b2o3bo96bo3b2o24bo3b2o62b2o3bo2bo25b2o3bo2bo139bo2bo30bo2bo\$365bo4bobo96b3o23bobo4bo63bo3b3o27bo3b3o141b2o32b2o\$370b2o80b2o3b2o37b2o234bo3bo29bo3bo\$451bo2bobo2bo9b3o94bo3b3o27bo3b3o124bobobobo10b2o15bobobobo10b2o\$450bo9bo6bo3b2o92b2o3bo2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo\$449b2o9b2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo120b2o7b2o7bo2b2o11b2o7b2o7bo2b2o\$450bo9bo5bo5bo92b5o2bobo24b5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2bobo2b2o6bo2b2o\$451bo2bobo2bo7bo2b2o95b3o3bo27b3o3bo123bobobobo8b4o15bobobobo8b4o\$452b2o3b2o8bo264bo3bo29bo3bo3\$737b2o\$736b2o\$738bo3\$339bo188bo\$339b2o186b2o127bobo119b3o\$338bobo186bobo127b2o121bo\$657bo121bo2\$398bo70bo\$397b2o70b2o278bo109bo\$397bobo68bobo186bobo88b2o108bo\$658b2o88bobo107b3o\$658bo3\$668bo98b2o89bo\$669b2o95bobo88bo\$668b2o98bo88b3o4\$669bo90b2o85bo\$670b2o87b2o86bobo\$669b2o90bo85b2o4\$679bobo73b3o88bo\$680b2o75bo88bobo\$680bo75bo89b2o3\$772bo63bo\$680bobo88b2o62bo\$681b2o88bobo61b3o\$681bo3\$691bo52b2o89bo\$692b2o49bobo88bo\$691b2o52bo88b3o4\$692bo90b2o39bo\$693b2o87b2o40bobo\$692b2o90bo39b2o4\$702bobo27b3o88bo\$703b2o29bo88bobo\$703bo29bo89b2o3\$795bo17bo\$703bobo88b2o16bo\$704b2o88bobo15b3o\$704bo3\$714bo6b2o89bo\$715b2o3bobo88bo\$714b2o6bo88b3o4\$715bo85bo4b2o\$716b2o83bobob2o\$715b2o84b2o4bo4\$725bobo\$726b2o\$726bo9\$564bo53bo\$565bo51bo\$563b3o51b3o115b2o49b2o\$735b2o49b2o\$101bobo49bobo\$101b2o51b2o404b3o57b3o\$102bo51bo407bo57bo\$561bo59bo2\$42bobo167bobo\$43b2o167b2o\$43bo169bo2\$723b2o\$722bobo\$724bo3\$718b2o\$11bo125b2o3b2o8bo213bo8b2o3b2o18bo8b2o3b2o36b2o3b2o8bo18b2o3b2o8bo217b2o11bo3bo29bo3bo33b2o\$9b2o125bo2bobo2bo7bo2b2o95b3o3bo27b3o3bo69b2o2bo7bo2bobo2bo13b2o2bo7bo2bobo2bo34bo2bobo2bo7bo2b2o13bo2bobo2bo7bo2b2o61b3o3bo27b3o3bo110bo12bobobobo8b4o15bobobobo8b4o19b2o\$10b2o123bo9bo5bo5bo92b5o2bobo24b5o2bobo67bo5bo5bo9bo11bo5bo5bo9bo32bo9bo5bo5bo11bo9bo5bo5bo58b5o2bobo24b5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2bobo2b2o6bo2b2o20bo\$obo3bo127b2o9b2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo66b2o2bobo5b2o9b2o9b2o2bobo5b2o9b2o30b2o9b2o5bobo2b2o9b2o9b2o5bobo2b2o56b2o3b2o3bo23b2o3b2o3bo120b2o7b2o7bo2b2o11b2o7b2o7bo2b2o\$b2o2bo129bo9bo6bo3b2o92b2o3bo2bo25b2o3bo2bo68b2o3bo6bo9bo11b2o3bo6bo9bo32bo9bo6bo3b2o11bo9bo6bo3b2o58b2o3bo2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo\$bo3b3o128bo2bobo2bo9b3o94bo3b3o27bo3b3o70b3o9bo2bobo2bo13b3o9bo2bobo2bo34bo2bobo2bo9b3o13bo2bobo2bo9b3o60bo3b3o27bo3b3o124bobobobo10b2o15bobobobo10b2o24b3o\$74b2o61b2o3b2o37b2o192b2o3b2o27b2o3b2o36b2o3b2o27b2o3b2o218b3o18bo3bo29bo3bo37bo\$69bo4bobo77b3o23bobo4bo63bo3b3o27bo3b3o70b3o31b3o70b3o31b3o60bo3b3o27bo3b3o106bo34b2o32b2o25bo\$69b2o3bo77bo3b2o24bo3b2o62b2o3bo2bo25b2o3bo2bo68b2o3bo28b2o3bo66bo3b2o28bo3b2o58b2o3bo2bo25b2o3bo2bo104bo34bo2bo30bo2bo\$68bobo14b2o5b2o42b2o14bobo2b2o4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o46b2o4b2o2bobo14b2o5b2o4b2o2bobo14b2o34b2o14bobo2b2o4b2o5b2o14bobo2b2o4b2o46b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o107b2o15bo2b2o5b2o5b2o15bo2b2o5b2o\$85b2o5b2o42b2o13bo5bo5b2o5b2o73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o46b2o5bo5bo13b2o5b2o5bo5bo13b2o34b2o13bo5bo5b2o5b2o13bo5bo5b2o46b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o84bo22b2o14bo2b2o6b2o5b2o14bo2b2o6b2o\$75bo76bo2b2o24bo70b3o3bo27b3o3bo69b2o2bo29b2o2bo66bo2b2o29bo2b2o61b3o3bo27b3o3bo99b2o37b4o30b4o32bo\$74b2o76bo28b2o183bo33bo66bo33bo204bobo106b2o\$74bobo103bobo632bobo3\$820b2o\$700b2o118bobo\$699bobo118bo\$701bo3\$695b2o\$696b2o129b2o\$695bo130b2o\$828bo3\$831b3o\$688b3o140bo\$690bo141bo\$689bo2\$684bo\$684b2o153bo\$683bobo152b2o\$838bobo3\$843b2o\$677b2o164bobo\$676bobo164bo\$678bo3\$672b2o\$673b2o175b2o\$672bo176b2o\$851bo3\$854b3o\$665b3o186bo\$667bo187bo\$666bo2\$661bo\$661b2o199bo\$660bobo198b2o\$861bobo4\$654b2o\$653bobo\$655bo!`

The 91 gliders very nicely split into seven sets of 13: two sets for the two pairs of twin bees shuttles, one set for the X that is simply fed into the oscillator as-is and four sets for each LWSS that is injected to form the other X.

Edit: Achim's p11 reduced to 75 gliders:
`x = 827, y = 80, rule = B3/S23731bo\$731bobo\$731b2o3\$740bo\$740bobo\$727bo12b2o\$727bobo\$727b2o2\$452bo\$452bobo\$452b2o\$683bo\$684bo23bo\$682b3o22bo\$707b3o\$429bobo180bobo4bo\$377bo52b2o181b2o2b2o\$375bobo52bo182bo4b2o84b3o98bo\$376b2o3bo421bobo\$380bo72bo350b2o3bo\$380b3o68b2o225bo129b2o\$452b2o225bo128b2o\$269bobo405b3o128bo\$269b2o48bo99bo67bo5bo76bobo\$248bo9bo11bo46bobo5bobo92b2o20b3o43b2o2bo77b2o74bo38bo50bo\$246bobo10b2o57b2o6b2o3bo87b2o66b2o3b3o76bo72b2o40bo49bo\$247b2o9b2o66bo3bo84b2o228b2o37b3o49bo69b2o\$330b3o81bobo322b2o61bo3b2o3bo\$373bo2bo39bo22bo2bo56b2o52bo3b2o5bobo3b2o47bo3b2o5bo80bo3b2o5bo16bobo59bo10bo\$9bo180bo182b4o62b4o49b2o5b2o51bobo2b2o6b2o3bobo45bobo2b2o4bobo13bo64bobo2b2o4bobo15bo60bo3bo4bo3bo\$7b2o179bobo227b2o73b2o56bobo11bo4bo46bobo10bobo11b2o63bobo10bobo74bob2o3b2o3b2obo\$8b2o127bo51b2o182b4o41bobo18b4o12bo36bo6b4o47bobo4b4o55bobo4b4o4bobo10bobo61bobo4b4o4bobo72bobob4o2b4obobo\$12bobo120bobo235bo2bo41bo20bo2bo11b2o43bo2bo48bo5bo2bo56bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo\$12b2o122b2o124bo51b2o138bobo344b2o8b2o12bo\$13bo74bo97b3o73bo52b2o472b3o7bob2o8b2obo9bo\$2bo49b2ob2o30bo10b2ob2o48b2ob2o32bo9b2ob2o8b2ob2o46bo3b2ob2o8b2ob2o30bo6b2o8b2ob2o33b2o8b2ob2o51b2o8b2ob2o45b2o8b2ob2o43b2o8b2ob2o51b2o8b2ob2o77b2o8b2ob2o64b3o8bo10bo11b3o\$obo50bob2o30b3o9bob2o31b2o16bob2o31bo11bobo10bob2o51bobo10bob2o37bo10bob2o33bo10bob2o51bo10bob2o45bo10bob2o43bo10bob2o51bo10bob2o77bo10bob2o70b2o2bo12bo2b2o\$b2o50bo45bo35b2o15bo46bobo10bo54bobo10bo37b2obo10bo33b2obo10bo51b2obo10bo45b2obo10bo43b2obo10bo51b2obo10bo77b2obo10bo73b2o2bo12bo2b2o\$5b2o45b2o44b2o34bo16b2o45b2ob2o8b2o53b2ob2o8b2o37b2ob2o8b2o33b2ob2o8b2o51b2ob2o8b2o45b2ob2o8b2o43b2ob2o8b2o51b2ob2o8b2o77b2ob2o8b2o64b3o11bo10bo8b3o\$4bobo38bobo741bo9bob2o8b2obo7b3o\$6bo39b2o40b3o3bo693bo12b2o8b2o\$46bo43bo2bobo49bo2bo56bo2bo64bo2bo48bo2bo44bo2bo62bo2bo56bo2bo54bo2bo5bo50bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo\$89bo4b2o49b4o56b4o64b4o48b4o44b4o62b4o56b4o6bo47b4o4bobo35bobo10bobo4b4o4bobo74bobo4b4o4bobo72bobob4o2b4obobo\$507b2o38bo4bo11bobo37b2o11bobo10bobo76bobo10bobo74bob2o3b2o3b2obo\$94b2o37b3o11b2o58b2o66b2o50b2o46b2o64b2o58b2o5b2o35bobo3b2o6b2o2bobo38bo13bobo4b2o2bobo62bo15bobo4b2o2bobo76bo3bo4bo3bo\$47b2o45b2o39bo11b2o58b2o45bo20b2o50b2o46b2o64b2o58b2o43b2o3bobo5b2o3bo54bo5b2o3bo61bobo16bo5b2o3bo78bo10bo\$46bobo85bo119b2o437b2o107bo3b2o3bo\$48bo95bo108bobo347b2o92bo49b3o56b2o\$51b2o90b2o362b3o3b2o31bo57b2o91bo49bo\$51bobo89bobo363bo2b2o32b2o55bo93bo50bo\$51bo456bo5bo30bobo\$754b3o48bo\$754bo49b2o\$755bo48b2o\$804bo3b2o\$266bo541bobo\$259bo5b2o363b2o4bo90b3o78bo\$260bo4bobo363b2o2b2o\$258b3o369bo4bobo\$724b3o\$262b3o461bo22b3o\$264bo460bo23bo\$263bo486bo5\$705b2o\$704bobo\$692b2o12bo\$691bobo\$693bo3\$701b2o\$700bobo\$702bo!`

Achim's p11 further reduced to 67 gliders:
`x = 551, y = 80, rule = B3/S23465bo\$464bo\$464b3o3\$474bo\$473bo\$461bo11b3o\$460bo\$460b3o6\$249bo168bo\$247b2o167bobo22bo\$248b2o167b2o22bobo\$359bo81b2o\$360b2obobo\$359b2o2b2o73b3o88bo\$364bo165bo\$235bo292b3o2bo\$233bobo296b2o\$234b2o177bo118b2o\$203bo207bobo118bo\$163bo40b2obobo33bo4bo84bo78b2o\$164bo5bo32b2o2b2o13bo2bo17bo3bo19bobo2bo58b2o137bo\$162b3o6b2o35bo17bo16bo3b3o18b2o2bobo57b2o56bobo27bo49bo\$170b2o2bo47bo3bo41bo3b2o116b2o26bobo49bo59b2o\$174bobo46b4o23b2o139bo27b2o51b3o55b2o\$174b2o23bo2bo36bo2bo7bobo20bo5b2o34bo3b2o6bo3b3o31bo3b2o5bo68bo3b2o5bo15bo52bo10bo\$136bo62b4o36b4o7bo22b2o4b2o33bobo2b2o7b2obo32bobo2b2o4bobo12b2o52bobo2b2o4bobo15bo50bobo8bobo\$136bobo133bobo38bobo11b2o3bo30bobo10bobo10b2o52bobo10bobo64bobo3bo2bo3bobo\$136b2o61b4o36b4o36b4o29bobo4b4o39bobo4b4o4bobo11bo50bobo4b4o4bobo62bobo4bo2bo4bobo\$134bo24bo39bo2bo36bo2bo36bo2bo30bo5bo2bo40bo5bo2bo5bo64bo5bo2bo5bo64bo5bo2bo5bo\$7bo124bobo5bo18b2o\$6bo126b2o3b2o18bobo352b3o32bo\$6b3o26b2o28b2o28b2o6bo21b2o12b2o24b2o8b2ob2o15b2o8b2ob2o25b2o8b2ob2o25b2o8b2ob2o25b2o8b2ob2o35b2o8b2ob2o65b2o8b2ob2o54b3o7b3o8b3o10bobo\$10b3o22bo29bo29bo8b2ob2o16bo9bo29bo10bob2o15bo10bob2o25bo10bob2o25bo10bob2o25bo10bob2o35bo10bob2o65bo10bob2o60b2o18b2o6b2o\$10bo21b2obo26b2obo26b2obo7b2o2bobo12b2obo8bobo25b2obo10bo15b2obo10bo25b2obo10bo25b2obo10bo25b2obo10bo35b2obo10bo65b2obo10bo55b2o6b2o18b2o\$11bo20b2ob2o25b2ob2o7bo17b2ob2o10bo14b2ob2o8b2o25b2ob2o8b2o15b2ob2o8b2o25b2ob2o8b2o25b2ob2o8b2o25b2ob2o8b2o35b2ob2o8b2o65b2ob2o8b2o54bobo10b3o8b3o7b3o\$2o38bobo30bo439bo32b3o\$b2o37b2o28bo2b3o\$o4bo35bo27bobo27bo2bo26bo2bo36bo2bo26bo2bo36bo2bo36bo2bo36bo2bo5bo34bo5bo2bo5bo64bo5bo2bo5bo64bo5bo2bo5bo\$5b2o62b2o5b3o20b4o26b4o36b4o26b4o36b4o36b4o36b4o4bobo20bo11bobo4b4o4bobo62bobo4b4o4bobo62bobo4bo2bo4bobo\$4bobo32b3o34bo210bobo19bo3b2o11bobo22b2o10bobo10bobo64bobo10bobo64bobo3bo2bo3bobo\$41bo31bo3bo23b2o28b2o38b2o28b2o38b2o38b2o4b2o21bob2o7b2o2bobo22b2o12bobo4b2o2bobo50bo15bobo4b2o2bobo66bobo8bobo\$40bo31b2o27b2o28b2o38b2o28b2o38b2o38b2o5bo19b3o3bo6b2o3bo38bo5b2o3bo52bo15bo5b2o3bo68bo10bo\$72bobo275bo76b3o51b2o47b2o\$288b2o3bo56b2o79bo49bobo46b2o\$287bobo2b2o14b2o39bobo79bo49bo\$289bo2bobo14b2o120bo\$308bo179b2o\$488bobo38bo\$488bo39b2o\$528b2o\$528bo2b3o\$377bo153bo\$377b2o2b2o78b3o68bo\$376bobob2o\$382bo76b2o\$458bobo22b2o\$460bo22bobo\$483bo6\$439b3o\$441bo\$426b3o11bo\$428bo\$427bo3\$435b3o\$437bo\$436bo!`
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

### Re: Synthesising Oscillators

63 gliders:
`x = 491, y = 80, rule = B3/S23465bo\$464bo\$464b3o5\$461bo\$460bo14bo\$460b3o12bobo\$475b2o3\$420bo\$421bo\$249bo169b3o\$247b2o192bo\$248b2o191bobo\$359bo81b2o\$360b2obobo\$359b2o2b2o73b3o\$364bo\$235bo\$233bobo\$234b2o177bo\$203bo207bobo\$163bo40b2obobo33bo4bo84bo78b2o\$164bo5bo32b2o2b2o13bo2bo17bo3bo19bobo2bo58b2o137bo\$162b3o6b2o35bo17bo16bo3b3o18b2o2bobo57b2o56bobo27bo49bo\$170b2o2bo47bo3bo41bo3b2o116b2o26bobo49bo\$174bobo46b4o23b2o139bo27b2o51b3o\$174b2o23bo2bo36bo2bo7bobo20bo5b2o34bo3b2o6bo3b3o31bo3b2o5bo68bo3b2o5bo15bo\$136bo62b4o36b4o7bo22b2o4b2o33bobo2b2o7b2obo32bobo2b2o4bobo12b2o52bobo2b2o4bobo15bo\$136bobo133bobo38bobo11b2o3bo30bobo10bobo10b2o52bobo10bobo\$136b2o61b4o36b4o36b4o29bobo4b4o39bobo4b4o4bobo11bo50bobo4b4o4bobo\$134bo24bo39bo2bo36bo2bo36bo2bo30bo5bo2bo40bo5bo2bo5bo64bo5bo2bo5bo\$7bo124bobo5bo18b2o\$6bo126b2o3b2o18bobo\$6b3o26b2o28b2o28b2o6bo21b2o12b2o24b2o8b2ob2o15b2o8b2ob2o25b2o8b2ob2o25b2o8b2ob2o25b2o8b2ob2o35b2o8b2ob2o65b2o8b2ob2o\$10b3o22bo29bo29bo8b2ob2o16bo9bo29bo10bob2o15bo10bob2o25bo10bob2o25bo10bob2o25bo10bob2o35bo10bob2o65bo10bob2o\$10bo21b2obo26b2obo26b2obo7b2o2bobo12b2obo8bobo25b2obo10bo15b2obo10bo25b2obo10bo25b2obo10bo25b2obo10bo35b2obo10bo65b2obo10bo\$11bo20b2ob2o25b2ob2o7bo17b2ob2o10bo14b2ob2o8b2o25b2ob2o8b2o15b2ob2o8b2o25b2ob2o8b2o25b2ob2o8b2o25b2ob2o8b2o35b2ob2o8b2o65b2ob2o8b2o\$2o38bobo30bo\$b2o37b2o28bo2b3o\$o4bo35bo27bobo27bo2bo26bo2bo36bo2bo26bo2bo36bo2bo36bo2bo36bo2bo5bo34bo5bo2bo5bo64bo5bo2bo5bo\$5b2o62b2o5b3o20b4o26b4o36b4o26b4o36b4o36b4o36b4o4bobo20bo11bobo4b4o4bobo62bobo4b4o4bobo\$4bobo32b3o34bo210bobo19bo3b2o11bobo22b2o10bobo10bobo64bobo10bobo\$41bo31bo3bo23b2o28b2o38b2o28b2o38b2o38b2o4b2o21bob2o7b2o2bobo22b2o12bobo4b2o2bobo50bo15bobo4b2o2bobo\$40bo31b2o27b2o28b2o38b2o28b2o38b2o38b2o5bo19b3o3bo6b2o3bo38bo5b2o3bo52bo15bo5b2o3bo\$72bobo275bo76b3o51b2o\$288b2o3bo56b2o79bo49bobo\$287bobo2b2o14b2o39bobo79bo49bo\$289bo2bobo14b2o120bo\$308bo179b2o\$488bobo\$488bo3\$377bo\$377b2o2b2o78b3o\$376bobob2o\$382bo76b2o\$458bobo\$460bo\$480b3o\$480bo\$481bo3\$425b2o\$424bobo12b3o\$426bo14bo\$440bo5\$435b3o\$437bo\$436bo!`
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

toroidalet

Posts: 1002
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Synthesising Oscillators

Lightbulb and cis-hook in 6 gliders, and the house version in 7:
`x = 81, y = 29, rule = B3/S2366bo\$64bobo\$65b2o\$obo73bo\$b2o71b2o\$bo73b2o7\$16bo59bo\$9bo5bo53bo5bo\$10bo4b3o52bo4b3o\$8b3o57b3o2\$19b2o58b2o\$7bo10b2o47bo10b2o\$8bo11bo47bo11bo\$6b3o57b3o6\$9b3o57b3o\$9bo59bo\$10bo59bo!`

This came about when debugging Shinjuku's behaviour when predding oscillators – it turned out to be an indentation error. The very first soup I examined gave the syntheses above.

Other lightbulb variants should be easily derivable from the above base, including the snake version.
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Freywa wrote:Lightbulb and cis-hook in 6 gliders, and the house version in 7: .. Other lightbulb variants should be easily derivable from the above base, including the snake version.

Yes, this does also improve syntheses of all the other derived lightbulbs I have. Curiously, moving the glider right one space flips the bookend, and two of them make the house:
`x = 113, y = 25, rule = B3/S23bo40bo39bo13bo\$bbo40bo39bo11bo\$3o38b3o37b3o11b3o8\$15bo14boo23bo11boo26bo11booboo\$8bo4boo13bobbo16bo4boo12bobbo17bo4boo12bo3bo\$9boo3boo12b3o18boo3boo12b3o18boo3boo12b3o\$8boo7boo29boo7boo29boo7boo\$17bobo8b3o26bobo8b3o26bobo8b3o\$17bo9bo3bo25bo9bo3bo25bo9bo3bo\$6bo20bo3bo14bo20bo3bo14bo20bo3bo\$7boo19bobo16boo19bobo16boo19bobo\$6boo18bobobobo13boo18bobobobo13boo18bobobobo\$26boo3boo33boo3boo33boo3boo3\$8boo38boo38boo\$7boo38boo38boo\$9bo39bo39bo!`

EDIT: From the sublime to the ridiculous:
`x = 46, y = 44, rule = B3/S2321bo\$21bobo\$21boo\$\$bbo\$obo\$boo7\$10boo\$9bobbo\$9bobbo3bo\$10boobboo24booboo\$15boo23bo3bo\$41b3o\$22bobo\$5bobo14boo17b3o\$6boo15bo16bo3bo\$6bo33booboo\$\$40booboo\$3bobo34bo3bo\$4boo35b3o\$4bo\$41b3o\$40bo3bo\$40bo3bo\$41bobo\$39bobobobo\$25b3o11boo3boo\$25bo\$26bo6\$17bo\$16boo\$16bobo!`
mniemiec

Posts: 1043
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Edgy (am I using this term correctly?) 5G figure eight, found once again using synthesise-constellation:
`x = 21, y = 15, rule = B3/S236bo\$4bobo\$5b2o2\$bo\$2bo15bobo\$3o15b2o\$19bo\$15bo\$16bo\$14b3o2\$18bobo\$18b2o\$19bo!`

Improves the following syntheses:
`x = 476, y = 46, rule = B3/S2375bo57bo\$73bobo55bobo56bo142bo\$74b2o56b2o54bobo65bo76bobo\$189b2o63bobo76b2o\$70bo57bo126b2o\$71bo15bobo39bo15bobo37bo152bo\$69b3o15b2o38b3o15b2o39bo15bobo46bo67bobo15bo\$88bo57bo37b3o15b2o48bo15bobo49b2o15b3o\$84bo57bo60bo46b3o15b2o50bo\$6bo78bo57bo55bo69bo54bo69b3o\$4bobo76b3o55b3o56bo64bo57bo70b3o\$5b2o191b3o65bo56b3o66b3o2b2o\$87bobo55bobo116b3o130b2o51bo6bo\$bo85b2o56b2o55bobo114bobo74b3o52b2o5b2o\$2bo15bobo67bo57bo55b2o64bobo49b2o74bo53b2o5b2o\$3o15b2o183bo64b2o50bo75bo\$19bo249bo184b2o10b2o\$15bo437bobo11bo\$16bo438bo10bo\$14b3o449b2o\$81bo57bo179bo148bo\$18bobo58bo2bo55bo2bo52bo76bo45bobo9bo73bo62b5o\$18b2o59bo2bo55bo2bo51bo2bo66bo7bobo44b2o7bo2bo71b2o64b3o\$19bo60bo59bo52bo2bo64bo2bo6b2o54bo2bo71bobo60b2o3b2o\$195bo65bo2bo63bo141bo\$262bo135b3o66bo2bobob2o\$400bo44b3o18bobobob2obo\$399bo47bo16b3o2bo\$403bo42bo16bo3b2o\$13bo73bo45bo250b3o15b2o60b3o\$13bo72b2o45b2o54bo196bo15bobo45b2o14bo\$12b2obo70bobo43bobo54b2o194bo63bobo\$15b2o171bobo260bo\$12bo69b3o51b3o177b2o71b2o\$12b2o70bo51bo55b3o78b2o42b2o69bobo\$11b2o70bo53bo54bo79b2o42bo73bo\$11b3o73bo45bo59bo80bo\$68b3o15b2o45b2o15b3o36bo\$70bo15bobo43bobo15bo38b2o15b3o127b3o\$69bo81bo36bobo15bo45b3o81bo\$207bo46bo82bo\$73b2o71b2o105bo\$72bobo71bobo53b2o128b2o\$74bo71bo55bobo52b2o73bobo\$202bo53bobo73bo\$258bo!`
Ian07

Posts: 307
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

Ian07 wrote:Edgy (am I using this term correctly?) 5G figure eight, found once again using synthesise-constellation: ... Improves the following syntheses: ...

Nice! The most common syntheses of figure 8 all seem to develop the same way - two gliders hitting a teardrop. The trick is to make the teardrop as unobtrusively as possible, but they all have the same problem - that the figure 8 slides sideways into place, making this method unsuitable in some situations. Here are syntheses for 6 other objects and 5 pseudo-objects that I have that are also improved by your new synthesis.

Another way to make figure 8 is from 2 solid 3x3 blocks; I found an 8-glider synthesis that slides the figure 8 in from the other direction, making the cis version of rattlesnake and figure 8 possible.
`x = 226, y = 155, rule = B3/S23151bo\$150bo\$150b3o3\$93bo44bo16bo\$92bo46boo14bobo\$92b3o43boo15boo\$5bobo4bobo\$6boo5boo126bo\$6bo6bo61boo20bo17boo24bobo\$9b3o29boo28boobo22bobo11boobo26boo28boo\$11bo11bo17boobo8bo17boobbobbo18boo12boobbobbo19bo32boobo\$10bo10bo3b4o16bo5bo3b4o17bobo37bobo20boo34bo\$21bo3bo16bo8bo3bo21bo39bo20boo32bo\$21bo21boboo4bo121boboo\$24bo20boo7bo21boo38boo5boo50boo\$22boo28boo22boo38boo5boobo\$127bo\$89bo34bo\$boo85bo36boboo\$obo85b3o36boo12bobbo26bobbo\$bbo83bo6bo46boboobo24boboobo\$85boo5boo47bobbo26bobbo\$85bobo4bobo46bobbo26bobbo\$5b3o132boboobo24boboobo\$7bo133bobbo26bobbo\$6bo13\$21bo59bo\$20bo59bo\$20b3o57b3o46bo19bo45bo\$129boo18boo42boo\$132bo19bo41boo\$8bo16bo42bo16bo44bo3b4o12bo3b4o\$9boo14bobo41boo14bobo42boobbo15boobbo\$8boo15boo41boo15boo41bobbo16bobbo\$128boo18boo\$11bo59bo60b3o17b3o28bo3bobo\$11bobo57bobo107boo4boo\$11boo28boo28boo28boo79boo4bo\$8bo32boobo23bo32boobo\$9boo34bo23boo34bo72bo\$8boo32bo25boo32bo50boo24boo\$43boboo56boboo44boboo23boo\$45boo58boo19boo22bo23boo38boo\$127boo24bo20bo39bo\$126bo22boobo22bo39bo\$82boo28boo15boo18boo23boo38boo\$22bo29bo30bo29bo15bobo88boo\$13bo7bobo19bo7bobo19bo6bobo20bo6bobo16bo60bobo27boobo\$12bob3obboobo19bob3obboobo19bob3obboo21bob3obboo79boo32bo\$13bobbobbo23bobbobbo23bobbobbo23bobbobbo16boo15boo26bo19bo19bo9bo\$16bobbo26bobbo26bobbo26bobbo17boo14bobo25boo22bo15boo9boboo\$126bo16bo22boobobob3o18boo10boobobob3o8boo\$166boboobobobo18bobo9boboobobobo\$172bobb3o34bobb3o\$138b3o32boo3bo34boo3bo\$138bo36b3o37b3o\$139bo35bo19boo18bo\$194boo\$196bo4\$202bo\$201boo\$201bobo\$\$76bobo\$11bobo4bobo55boo\$12boo5boo56bo\$12bo6bo83bo29bo29bo\$15b3o14boo13boo13boo38bobo27bobo27bobo\$17bo12boboo13boobo9boboo38boo28boo28boo\$16bo12bo21bo7bo7b3o3bo\$32bo15bo13bo6bo4bo\$28boobo17boboo5boobo6bo3b3o\$28boo21boo5boo\$100bo4bo24bo4bo24bo4bo\$79boo17boob4oboo20boob4oboo20boob4oboo\$79bobo18bo4bo24bo4bo24bo4bo\$7boo64bo5bo\$6bobo63boo\$8bo63bobo3\$11b3o144boo\$13bo144boobo\$12bo122boo25bo\$134boo23bo\$136bo23boboo\$132boo28boo\$131bobo\$133bo\$\$118boo15boo\$117bobo14boo\$119bo16bo3\$122b3o\$124bo\$123bo9\$13bo29bo29bo29bo29bo29bo\$12bobo27bobo27bobo27bobo27bobo27bobo\$12boo28boo28boo28boo28boo28boo5\$10bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo\$8boob4oboo20boob4oboo20boob4oboo20boob4oboo20boob4oboo20boob4oboo\$10bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo6\$46boo58boo50boo\$44boboo58boobo46boboo\$9boo32bo39boo25bo10boo32bo\$10boo34bo35boo23bo14boo34bo\$9bo32boobo38bo23boboo9bo32boobo\$12boo28boo36boo28boo12boo28boo\$12bobo64bobo42bobo\$12bo68bo42bo\$\$9boo15boo38boo15boo36boo15boo\$10boo14bobo36bobo14boo38boo14bobo\$9bo16bo40bo16bo36bo16bo3\$21b3o46b3o60b3o\$21bo50bo60bo\$22bo48bo62bo!`

EDIT: The above syntheses for figure 8 and octagon 2, and the last two boat on pentadecathlon and figure 8 only tie the records, rather than beating them. I also forgot three others:
`x = 128, y = 65, rule = B3/S234boo8bobo4bobo20boo38bobo4bobo\$oobo10boo5boo17boobo40boo5boo\$oobbobbo7bo6bo17boobbobbo37bo6bo\$5bobo9b3o25bobo8boo29b3o36boo\$6bo10bo28bo7boboo29bo36boboo\$18bo34bo20boo12bo25boo7bo\$5boo38boo9bo13boobo36boobo12bo\$5boo38boo5boobo14boobbobbo32boobbobbo4boobo\$52boo21bobo37bobo4boo\$76bo39bo\$\$75boo38boo\$26boo47boo19boo17boo\$26bobo67bobo\$26bo69bo3\$21b3o67b3o\$21bo69bo\$22bo69bo14\$23bo\$22bo\$22b3o3\$10bo16bo\$11boo14bobo\$10boo15boo\$\$13bo\$13bobo\$13boo38boo\$10bo42boobo\$11boo44bo\$10boo42bo\$55boboo\$57boo6\$oo17bo20boo17bo\$bo16b3o20bo16b3o\$bobo17bo19bobo17bo\$bboo12bobo23boo12bobo\$8b3o4bobbo29b3o4bobbo\$8bobbo4b3o29bobbo4b3o\$8bobo12boo23bobo12boo\$5bo17bobo19bo17bobo\$6b3o16bo20b3o16bo\$7bo17boo20bo17boo!`
mniemiec

Posts: 1043
Joined: June 1st, 2013, 12:00 am

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