## Synthesising Oscillators

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

### Re: Synthesising Oscillators

An easy solution to one of the 16-bit still lifes from a 13-bit still life:
`x = 18, y = 19, rule = B3/S2313bo\$11b2o\$b2o2b2o5b2o\$bo2bo2bo8b2o\$2bobobo8b2o\$3bobo4b2o5bo\$4bo5bobo\$10bo2\$2b2o\$bobo\$3bo2b2o\$6bobo\$6bo3\$b2o\$obo\$2bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

A simple improvement to the previous chart (all the credit for Extrementhusiast):
`x = 1079, y = 94, rule = B3/S23962b2ob2o31b2o33b2o34b2o\$963bobo31bo2bo31bo2bo32bo2bob2o\$962bo3bo31b2o32b2obo31bobob2obo\$539b2ob2o419b3obo31bobob2o29bob2obo28bobo\$540bobo173b2o30b2o2bo33b2o31b2o33b2o3bo29b2ob2o32b2o37bo2bo29bo2b2obo29bobob2o30bo\$6b2o2b2o30bobobo30bob2o30bob2o31bobo2b2o28bo3b2o29b2ob2o35b2o28b2ob2o32b2ob2o34b2o35b2ob2o29bobo32b2o33b2o34bo3bo28b2o3b2o28b2o2b2o29b2o2b2o29b2ob2o32b3obo29bo3b3o30bobo32bo33bo2b3o29bo3bo31bobo2b2o35b2o29b2o35bo34b2o\$6bobo2bo29bob3obo28bob2obo29b2obo31b2obo2bo28b3o2bo30bobobobo28b2obobo29bobo34bobo34bobo36bobobo28b2obo31bo2b2o30bo2b2o31bob2o29bobobobo28bo2bo2bo28bo2bo2bo29bobo32bo5bo29bo5bo28bo2bobo30bob2o31b2o33bobo31bo6bo\$8b2o31bo5bo28bo5bo31bob2o31bobo32b2o31bo2bob2o28bob2o30bo3bo32bo3bo32bo2bob2o31bo5bo31bo32b2obo31b2obo32bo33bobo31bobob2o29b2obobo29bo2b3o30bo5bo29bo3b2o29b2obobo30bo2bo32bo33b2obo30b2o3bo\$6bo2bobo30b3obo30bob2obo28b2o2bobo28b2o2bo32bo2b3o29bobo35bo29bob2o33bob2obo31b2obo2bo31b2o3bo29b2obob2o30bobobo30bobobo28bobo32bob2o32bobo33bobo31b2o2bo31bob3o31bobo33bo2bo31bobo32b3o33bobo30bo2bo\$6b2o2b2o32b2o32b2obo29bob2o31bob2o33b2o3bo30b2o32b2o2bo29bobobo32bobobo34bobo34bobo30bobobobo30bo2b2o28bo4b2o28b2o33bo37bo33bo35bo34b2o34b2o33bobo30bobob2o34bo32bobo30bobo\$253bob2o33b2o35bo35b2o35b2o34bo32b2o32b2o67b2o37b2o31b2o35b2o105bo31b2o37b2o33bo32bo34b2ob2o31b2o32b2o2bo30b2o2b2o\$963bobo31bo2bo31bo2bobo29bo2bo2bo\$962bo3bo31b2o3b2o29b2obo31b2obobo\$963b3obo31bobo2bo31bob2o31bobo\$965bo2bo29bo2b2o33bo2bo31bo\$966b2o30b2o37b2o31b2o4\$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o8\$108bob2o35bobo2b2o386b2ob2o2b2o\$108b2obo35b2obo2bo169b2ob2o213bobo2b2o\$111bob2o35bobo100b2o69bobo213bo2bo4bo\$108b3obobo32b3obo97b2obobo68bo3bo212bobo10bo\$108bo2bo35bo2bo98bob2o70bob2o69bo144bo9b2o\$109b2o37b2o103bo70bobobo4bo63bo3bo150b2o\$250b3obo72b2o4bobo59b3ob2o143b2o2b2o\$119bo38bo91bo2bo79b2o65b2o142b2ob2o\$118bo38bo93b2o296bo143bo\$118b3o36b3o170b3o60b2o10bob2o265bo18bobo298b4o\$115b2o37b2o105bo68bo63b2o9b2obo263bobo18b2o298bo4bo8bo\$111bo3bobo32bo3bobo103bo70bo61bo15b2o262b2o323bo9bo\$109bobo3bo32bobo3bo105b3o147bo585b2o8b2o\$110b2o37b2o106b2o144b2obobo136bo458b2ob3o\$253bo3bobo143bob2ob2o135bo452b2o5b2o\$251bobo3bo285b5o143bo306bo2b2o\$252b2o291bo143b2o308b2obo\$545bo135bo8b2o308bobob2o\$680bo14b2o302bo2b2obo\$396b2o282b3o2b3o7bobo301b2o\$395bobo287bo9bo\$397bo288bo\$540b2ob2o\$541bobo\$540bo2bo\$540bobo\$541bo137b2ob2o\$680bobo2bo\$399bobo135bo3bo138bo2b3o\$395bo3b2o134bobo2bobo138b2o\$396b2o2bo4bob2o123b2o2b2o2bobo140bo\$395b2o8b2obo122bobo7bo139b3o\$409b2o122bo9b3o134bo\$402b2o6bo126b3o3bo129bo6b2o\$402bobobobo130bo4bo129bo\$405b2ob2o128bo133b3o\$400bo\$395bo3b2o\$393bobo3bobo285b2o\$394b2o257b2o33b2o\$652bobo22bo9bo13b2o\$654bo22b2o22bobo\$676bobo22bo3\$700bo\$699b2o\$402bo296bobo\$401bo\$401b3o290bo\$693b2o\$400bo292bobo\$401bo255b2o\$399b3o254bobo\$658bo2\$398bo6bob2o\$398b2o5b2obo\$397bobo9b2o\$402b2o6bo\$401bo2bobobo\$401b2o2b2ob2o3\$396b2o\$395bobo\$397bo!`

Now semi-synthetized objects are in the correct orientation

`x = 1079, y = 94, rule = B3/S23962b2ob2o31b2o33b2o34b2o\$963bobo31bo2bo31bo2bo32bo2bob2o\$962bo3bo31b2o32b2obo31bobob2obo\$539b2ob2o419b3obo31bobob2o29bob2obo28bobo\$540bobo173b2o30b2o2bo33b2o31b2o33b2o3bo29b2ob2o32b2o37bo2bo29bo2b2obo29bobob2o30bo\$6b2o2b2o30bobobo30bob2o30bob2o31bobo2b2o28bo3b2o29b2ob2o35b2o28b2ob2o32b2ob2o34b2o35b2ob2o29bobo32b2o33b2o34bo3bo28b2o3b2o28b2o2b2o29b2o2b2o29b2ob2o32b3obo29bo3b3o30bobo32bo33bo2b3o29bo3bo31bobo2b2o35b2o29b2o35bo34b2o\$6bobo2bo29bob3obo28bob2obo29b2obo31b2obo2bo28b3o2bo30bobobobo28b2obobo29bobo34bobo34bobo36bobobo28b2obo31bo2b2o30bo2b2o31bob2o29bobobobo28bo2bo2bo28bo2bo2bo29bobo32bo5bo29bo5bo28bo2bobo30bob2o31b2o33bobo31bo6bo\$8b2o31bo5bo28bo5bo31bob2o31bobo32b2o31bo2bob2o28bob2o30bo3bo32bo3bo32bo2bob2o31bo5bo31bo32b2obo31b2obo32bo33bobo31bobob2o29b2obobo29bo2b3o30bo5bo29bo3b2o29b2obobo30bo2bo32bo33b2obo30b2o3bo\$6bo2bobo30b3obo30bob2obo28b2o2bobo28b2o2bo32bo2b3o29bobo35bo29bob2o33bob2obo31b2obo2bo31b2o3bo29b2obob2o30bobobo30bobobo28bobo32bob2o32bobo33bobo31b2o2bo31bob3o31bobo33bo2bo31bobo32b3o33bobo30bo2bo\$6b2o2b2o32b2o32b2obo29bob2o31bob2o33b2o3bo30b2o32b2o2bo29bobobo32bobobo34bobo34bobo30bobobobo30bo2b2o28bo4b2o28b2o33bo37bo33bo35bo34b2o34b2o33bobo30bobob2o34bo32bobo30bobo\$253bob2o33b2o35bo35b2o35b2o34bo32b2o32b2o67b2o37b2o31b2o35b2o105bo31b2o37b2o33bo32bo34b2ob2o31b2o32b2o2bo30b2o2b2o\$963bobo31bo2bo31bo2bobo29bo2bo2bo\$962bo3bo31b2o3b2o29b2obo31b2obobo\$963b3obo31bobo2bo31bob2o31bobo\$965bo2bo29bo2b2o33bo2bo31bo\$966b2o30b2o37b2o31b2o4\$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o8\$108bob2o35bobo2b2o386b2ob2o2b2o\$108b2obo35b2obo2bo169b2ob2o213bobo2b2o\$111bob2o35bobo100b2o69bobo213bo2bo4bo71bo\$108b3obobo32b3obo97b2obobo68bo3bo212bobo10bo64b2o\$108bo2bo35bo2bo98bob2o70bob2o69bo144bo9b2o55b2o2b2o5b2o\$109b2o37b2o103bo70bobobo4bo63bo3bo150b2o54bo2bo2bo8b2o\$250b3obo72b2o4bobo59b3ob2o143b2o2b2o59bobobo8b2o\$119bo38bo91bo2bo79b2o65b2o142b2ob2o61bobo4b2o5bo\$118bo38bo93b2o296bo61bo5bobo73bo\$118b3o36b3o170b3o60b2o10bob2o208bo56bo18bobo298b4o\$115b2o37b2o105bo68bo63b2o9b2obo263bobo18b2o298bo4bo8bo\$111bo3bobo32bo3bobo103bo70bo61bo15b2o198b2o62b2o323bo9bo\$109bobo3bo32bobo3bo105b3o147bo197bobo385b2o8b2o\$110b2o37b2o106b2o144b2obobo136bo64bo2b2o389b2ob3o\$253bo3bobo143bob2ob2o135bo67bobo382b2o5b2o\$251bobo3bo285b5o65bo77bo306bo2b2o\$252b2o291bo143b2o308b2obo\$545bo135bo8b2o308bobob2o\$608b2o70bo14b2o302bo2b2obo\$396b2o209bobo70b3o2b3o7bobo301b2o\$395bobo211bo75bo9bo\$397bo288bo\$540b2ob2o\$541bobo\$540bo2bo\$540bobo\$541bo137b2ob2o\$680bobo2bo\$399bobo135bo3bo138bo2b3o\$395bo3b2o134bobo2bobo138b2o\$396b2o2bo4bob2o123b2o2b2o2bobo140bo\$395b2o8b2obo122bobo7bo139b3o\$409b2o122bo9b3o134bo\$402b2o6bo126b3o3bo129bo6b2o\$402bobobobo130bo4bo129bo\$405b2ob2o128bo133b3o\$400bo\$395bo3b2o\$393bobo3bobo285b2o\$394b2o257b2o33b2o\$652bobo22bo9bo13b2o\$654bo22b2o22bobo\$676bobo22bo3\$700bo\$699b2o\$402bo296bobo\$401bo\$401b3o290bo\$693b2o\$400bo292bobo\$401bo255b2o\$399b3o254bobo\$658bo2\$398bo6bob2o\$398b2o5b2obo\$397bobo9b2o\$402b2o6bo\$401bo2bobobo\$401b2o2b2ob2o3\$396b2o\$395bobo\$397bo!`
This is game of life, this is game of life!
Loafin' ships eaten with a knife!
towerator

Posts: 328
Joined: September 2nd, 2013, 3:03 pm

### Re: Synthesising Oscillators

Finished another in 49 gliders:
`x = 262, y = 55, rule = B3/S23143bo\$144bo\$142b3o6\$165bo\$166b2o47bobo\$165b2o49b2o\$76bo139bo\$77b2o86bo\$76b2o81bo4b2o7bo52bo\$92bo65bo5bobo6bobo51b2o\$90b2o66b3o12b2o51b2o15bobo\$91b2o28bo99bo21b2o\$48bo71bo101b2o20bo\$16bo29bobo71b3o98b2o\$14bobo30b2o69bo9bo43bo\$15b2o35bo66bo7bo35bo7bo15bo\$51bo65b3o7b3o16bo7b2o6bobo6b3o12bo\$18bobo30b3o90bobo7b2o6bobo21b3o\$18b2o27b2o81b3o12b2o16bo58b2o\$2bo16bo26bobo73b2o6bo27b2o26bo7b2o25bobo5b2o27b2o\$obo45bo33b2o38bo8bo10bo15bo27b2o6bo27bo6bo28bobo\$b2o53bo26bo39bo19b2o14bo25bobo8bo34bo29bo\$16b2o36b3o23b3o37b4o18b2o12b4o32b5o30b5o24b6o\$2b3o10bo2bo3bo30bo25bo39bo35bo36bo27bo6bo28bo\$2bo13bobo3bobo3bo25bob3o21bob3o35bob4o30bob4o8b2o21bob4o21b2o6bob4o23bobo\$3bo13bo4b2o4bobo24b2o2bo21b2o2bo35b2o2bo31b2o2bo8bobo21b2o2bo20bobo7b2o3bo23b2o\$28b2o28b2o24bobo83bo62b2o\$25b2o36bo21bo136b2o\$25bobo33b2o159bobo\$25bo26b2o8b2o149b3o6bo\$53b2o2bo86b2o69bo\$52bo3b2o85bobo53b2o13bo\$56bobo86bo53bobo\$63b3o125b2o6bo\$63bo126bobo\$64bo37bo89bo\$60b3o27bobo8b2o123b2o\$62bo27b2o9bobo96b2o25b2o\$61bo29bo107b2o25bo\$201bo42b3o\$90b2o152bo\$90bobo152bo\$90bo5\$81bo\$81b2o\$80bobo!`

EDIT: Finished another pair from a listed predecessor:
`x = 167, y = 39, rule = B3/S23o\$b2o\$2o6\$bobo\$2b2o\$2bo25bo\$29bo116bobo\$16bo10b3o116b2o\$14b2o112bobo16bo\$15b2o57bo53b2o\$75bo41bobo9bo\$40bobo30b3o3bo38b2o\$32bo8b2o3bo22bo7b2o39bo5bobo\$33b2o6bo2b2o24b2o6b2o44b2o\$32b2o11b2o22b2o54bo9bobo\$7b2o27bobo11bo23bo29bo30b2o5b4o\$6bobo2b2o24b2o10bo25bo29b2o29bo5bo3bo\$8bob2o25bo11b3o21b3o28b2o36bo\$12bo95bo34bo2bo\$32b3o32b2o26b2o10b2o16b2o33b2o\$34bo9b2o21bo2bo9bo14bo2b2o3b2o2bobo15bo2b2o29bo2bo\$33bo6b2obo2bo21b2obo8bobo13b2obo2bobo21b2obo30b2o\$41bobobo23bobo8b2o15bobobo25bobob2o28bobob2o\$40bo2b2o23bo2b2o23bo2b2o25bo2b2obo27bo2b2obo\$40b2o26b2o26b2o6b2o20b2o32b2o\$103b2o\$105bo\$100b2o\$101b2o\$100bo2\$71bo\$71b2o\$70bobo!`

EDIT 2: This pairs two formerly unpaired still lifes:
`x = 83, y = 32, rule = B3/S2359bo\$57b2o\$58b2o2\$44bo\$45b2o\$44b2o2\$33bo\$28bo3bo19b2o7bo\$29b2ob3o16bo2bo6bobo\$8bo19b2o21bo2bo6b2o\$7bo44b2o\$7b3o58bo\$67bo\$10b2o55b3o\$4b2o4bobo14bo23bo29b2o\$bobobo4bo13bobobo19bobobo25bobobo\$ob2o19bob2obo18bob2obo24bob2o\$o3bo18bo3bo19bo3bo7bo17bo3bo\$bobo20bobo21bobo8bobo16bobo\$2ob2o18b2ob2o19b2ob2o7b2o16b2ob2o2\$56b3o\$56bo\$57bo4\$61b3o\$61bo\$62bo!`

I also found a way to get to here:
`x = 22, y = 21, rule = B3/S2310bobo\$10b2o\$11bo2\$4bo\$bobobo\$ob2obo3bo\$o3bo4bobo\$bobo5b2o2b2o\$2ob2o8bobo\$13bo4\$5bo\$5b2o\$4bobo2\$19b2o\$19bobo\$19bo!`

EDIT 3: Another 16-bitter in 25 gliders:
`x = 154, y = 32, rule = B3/S23124bo\$125bo\$29bo93b3o7bo\$29bobo95bo4bo\$25bo3b2o96bobo2b3o\$2bo17bo3bo102b2o\$obo15bobo3b3o\$b2o16b2o\$50bo\$27b2o22b2o19bobo23bobo17bobo14bo11bobo\$3bo23bobob2o17b2o20b2obob2o19b2obob2o13b2obob2o9b2o11b2obo\$2bo26bobobo41bobobo21bobo17bobo10bobo13bo\$2b3o22bobobobo38b2obobobo18b2obobo14b2obobo23b2obob2o\$7b2o18b2o3bo39bobo3bo19bobobo15bobobo24bobobobo\$b2o3b2o65bo27bo19bo9b3o16bo\$obo5bo10b2o110bo\$2bo15bobo3b3o96b2o7bo\$20bo3bo78b3o17b2o\$25bo4bo26b3o2b2o39bo\$29b2o28bob2o41bo\$29bobo26bo4bo36b3o\$102bo28b3o\$34bo66bo29bo\$33b2o51b2o44bo\$33bobo49b2o\$87bo33b2o\$122b2o\$121bo2\$62b2o\$63b2o\$62bo!`

EDIT 4: Yet another 16-bitter in 30 gliders:
`x = 135, y = 53, rule = B3/S2349bo\$47bobo\$48b2o5\$52bo\$50bobo22bo\$51b2o22bobo\$75b2o5\$32bo\$32bobo57bobo\$17bo14b2o59b2o\$18bo43b2o29bo18bo\$16b3o11b3o28bo2bo47bobo\$20bo11bo28bobo27b2o19b2o\$19bo11bo30bo16bo10bobo\$19b3o13b2o28b2o12bobo10bo\$35b2o14bobo11b2o8bo3b2o24bo\$o51b2o20bo19bo9bobo20bo3b2o\$obo12b2o14b2o19bo8b2o11b3o17b2o5b2o2bobo19b3o2bo\$2o13b2o2b2o10b2o2b2o24b2o2b2o26bobo4bo2b2o2bo4bobo15b2o\$3b3o13b2o14b2o14b3o11b2o8bo24bobo2b2o5b2o15bo2b3o\$3bo49bo20b2o25bobo9bo15b2o3bo\$4bo26b2o14b2o3bo8b2o11bobo25bo\$14b3o14b2o13bobo12b2o52bo\$16bo19bo11bo16bo49bobo\$15bo19bo28bobo27b2o19b2o\$17b3o15b3o25bo2bo26bobo\$17bo46b2o29bo18bo\$18bo15b2o77b2o\$33bobo77bobo\$35bo5\$51b2o\$50bobo22b2o\$52bo22bobo\$75bo5\$78b2o\$78bobo\$78bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Unsolved still lifes are flying off like hotcakes. Hey, Grant, could you make sure the list of unsolved 16-bit still lifes is continuously updated?
Princess of Science, Parcly Taxel

Freywa

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

### Re: Synthesising Oscillators

Freywa: yup, they are solved so fast!
I'm pretty sure that every 16-cell SL will be solved before 2014's summer.
This is game of life, this is game of life!
Loafin' ships eaten with a knife!
towerator

Posts: 328
Joined: September 2nd, 2013, 3:03 pm

### Re: Synthesising Oscillators

I believe that this is updated to date posted:
`x = 1079, y = 94, rule = B3/S23962b2ob2o66b2o34b2o\$963bobo66bo2bo32bo2bob2o\$962bo3bo65b2obo31bobob2obo\$963b3obo66bob2obo28bobo\$716b2o30b2o2bo33b2o31b2o33b2o3bo29b2ob2o32b2o37bo2bo65bobob2o30bo\$6b2o2b2o30bobobo30bob2o30bob2o31b2o2bobo63b2ob2o30b2o2bo30b2ob2o32b2ob2o71b2ob2o64b2o33b2o33b2o32b2o3b2o63b2o2b2o29b2ob2o32b3obo29bo3b3o30bobo32bo33bo2b3o29bo3bo31bobo2b2o35b2o66bo34b2o\$6bobo2bo29bob3obo28bob2obo29b2obo31bo2bob2o64bobobobo27bo2bobo30bobo34bobo71bobobo65bo2b2o30bo2b2o30bo2b2obo27bobobobo63bo2bo2bo29bobo32bo5bo29bo5bo28bo2bobo30bob2o31b2o33bobo31bo6bo\$8b2o31bo5bo28bo5bo31bob2o29bobo67bo2bob2o28b2o2bo29bo3bo32bo3bo70bo5bo64b2obo31b2obo31b2o2b2o29bobo66b2obobo29bo2b3o30bo5bo29bo3b2o29b2obobo30bo2bo32bo33b2obo30b2o3bo\$6bo2bobo30b3obo30bob2obo28b2o2bobo30bo2b2o65bobo32bobo30bob2o33bob2obo70bo3b2o65bobobo30bobobo31bo31bob2o68bobo31b2o2bo31bob3o31bobo33bo2bo31bobo32b3o33bobo30bo2bo\$6b2o2b2o32b2o32b2obo29bob2o34b2obo66b2o31bo2b2o30bobobo32bobobo71bobo67bo2b2o28bo4b2o31bob2o28bo71bo35bo34b2o34b2o33bobo30bobob2o34bo32bobo30bobo\$252b2o36b2o35bo73b2o66b2o32b2o37bobo27b2o70b2o35b2o105bo31b2o37b2o33bo32bo34b2ob2o65b2o2bo30b2o2b2o\$963bobo66bo2bobo29bo2bo2bo\$962bo3bo67b2obo31b2obobo\$963b3obo68bob2o31bobo\$965bo2bo67bo2bo31bo\$966b2o69b2o31b2o4\$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o8\$108bob2o35bobo2b2o133b2ob2o180b2o32b2o32b2ob2o2b2o\$108b2obo35b2obo2bo134bobo32b2ob2o144b3o31b3o32bobo2b2o\$111bob2o35bobo100b2o32bo3bo32bobo140b2o4bobo25b2o4bobo30bo2bo4bo\$108b3obobo32b3obo97b2obobo32bob2obo30bo3bo139bo2bo3b3o24bo2bo3b3o29bobo10bo\$108bo2bo35bo2bo98bob2o35bo2b2o30bob2o69bo71b2obo3b2o25b2obo3b2o30bo9b2o228b3o2b2o\$109b2o37b2o103bo32bobo3b2o30bobobo4bo63bo3bo67bobo31bobo46b2o228b4o\$250b3obo31bo6bo33b2o4bobo59b3ob2o68bo2b2o27bo4b2o36b2o2b2o240bo3bo\$119bo38bo91bo2bo32bo46b2o65b2o66b2o3bo27b2o4bo36b2ob2o236bo3b2ob2o\$118bo38bo93b2o219bo33bo42bo143bo90bobobobob2o\$118b3o36b3o170b3o60b2o10bob2o62bo2b2o29bo2b2o164bo18bobo87bo2bobo\$115b2o37b2o105bo68bo63b2o9b2obo61bo3bobo27bo3bobo161bobo18b2o89b2obobo\$111bo3bobo32bo3bobo103bo70bo61bo15b2o59b2o2bo29b2o2bo164b2o111bo2bo\$109bobo3bo32bobo3bo105b3o147bo375bobo\$110b2o37b2o106b2o144b2obobo136bo241bo\$253bo3bobo143bob2ob2o135bo\$251bobo3bo285b5o143bo\$252b2o291bo143b2o\$545bo135bo8b2o\$680bo14b2o\$315bobobobobobobobobobobobo58b2o282b3o2b3o7bobo\$395bobo287bo9bo\$397bo288bo\$540b2ob2o\$294bo246bobo\$294bo245bo2bo\$286b2ob2o2bo246bobo\$287bobo3bo247bo137b2ob2o\$286bo3bo2b2o27b2ob2o353bobo2bo\$286bob2obo2bo28bobo3bo69bobo135bo3bo138bo2b3o\$287bobobo3bo26bo3bo2bo65bo3b2o134bobo2bobo138b2o\$290bo4bo27b3o2b3o65b2o2bo4bob2o123b2o2b2o2bobo140bo\$324bo3b3o64b2o8b2obo122bobo7bo139b3o\$291b2o30bo3bobo79b2o122bo9b3o134bo\$326b4o72b2o6bo126b3o3bo129bo6b2o\$326b3o73bobobobo130bo4bo129bo\$327b2o76b2ob2o128bo133b3o\$400bo\$395bo3b2o\$393bobo3bobo285b2o\$394b2o257b2o33b2o\$652bobo22bo9bo13b2o\$654bo22b2o22bobo\$676bobo22bo3\$700bo\$699b2o\$402bo296bobo\$401bo\$401b3o290bo\$693b2o\$400bo292bobo\$401bo255b2o\$399b3o254bobo\$658bo2\$398bo6bob2o\$398b2o5b2obo\$397bobo9b2o\$402b2o6bo\$401bo2bobobo\$401b2o2b2ob2o3\$396b2o\$395bobo\$397bo!`

EDIT: Two more in 33 and 34 gliders:
`x = 212, y = 78, rule = B3/S2363bo\$64bo23bo91bo\$62b3o24b2o88bo\$88b2o7bo77bo3b3o\$95b2o79b2o7bo5bo\$72bo19bo3b2o77b2o6b2o5bo\$72bobo18b2o89b2o4b3o\$66bo5b2o18b2o\$15bo51bo\$16b2o47b3o125bo\$15b2o102bo72b2o\$61bobo26b2o18b2o7bobo10b2o18b2o24b2o12bobo10b2o\$62b2o25bo2bo17bo2bo5b2o11bo2bo16bo2bo22bo2bo23bo2b2o\$44b2obob2o11bo5b2obob2o15b2obob2o14b2obob2o15b2obo16b2obo22b2obo23b2obo\$43bobob2obo18bob2obo16bob2obo15bob2obo16bobo17bobo23bobo6b3o15bobobo\$24bo19bo15b2o7bo21bo20bo21bo2b2o15bo2b2o21bo2b2o4bo17bo2b2o\$22bobo2bo33b2o5b2o20b2o19b2o7b2o11b2o3bo14b2o3bo20b2o3bo5bo15b2o\$23b2o2bobo30bo58b2o16bo19bo6bobo16bo\$27b2o13b3o76bo15b2o18b2o5b2o16bo\$39bo2bo70b3o49bo15bo\$40bo2bo71bo38b2o24bo\$38b3o73bo19b2o17bo2bo10bo11bo\$117b3o9b3ob2o18bo2bo10bobo9b2o8b3o\$117bo13bo3bo18b2o11b2o20bo\$118bo11bo59bo\$114b3o49bo\$2o114bo48b2o\$b2o112bo49bobo10b2o\$o178b2o\$159b2o17bo\$158b2o\$160bo4\$6b2o\$5bobo\$7bo9\$63bo\$64bo23bo91bo\$62b3o24b2o88bo\$88b2o7bo77bo3b3o\$95b2o79b2o7bo5bo\$27bo44bo19bo3b2o77b2o6b2o5bo\$26bo45bobo18b2o89b2o4b3o\$26b3o37bo5b2o18b2o\$23bo43bo\$24bo19bo20b3o125bo\$22b3o20bo73bo72b2o\$43b3o15bobo26b2o18b2o7bobo10b2o18b2o24b2o12bobo10b2o\$47b2o13b2o25bo2bo17bo2bo5b2o11bo2bo16bo2bo22bo2bo23bo2b2o\$37b2ob2o6b2o12bo5b2obob2o15b2obob2o14b2obob2o15b2obo16b2obo22b2obo23b2obo\$38bob2o5bo21bob2obo16bob2obo15bob2obo16bobo17bobo23bobo6b3o15bobobo\$23b2o2b2o7bo23b2o5bo21bo20bo21bo4b2o13bo4b2o19bo4b2o4bo15bo4b2o\$22bobob2o8b2o13b3o7b2o4b2o20b2o19b2o8b2o10b2o4bo13b2o4bo19b2o4bo5bo14b2o\$24bo3bo22bo8bo58b2o16bo19bo6bobo16bo\$52bo68bo15b2o18b2o5b2o16bo\$113b3o49bo15bo\$115bo38b2o24bo\$41b2o71bo19b2o17bo2bo10bo11bo\$40bobo74b3o9b3ob2o18bo2bo10bobo9b2o8b3o\$42bo74bo13bo3bo18b2o11b2o20bo\$118bo11bo59bo\$114b3o49bo\$116bo48b2o\$115bo49bobo10b2o\$179b2o\$159b2o17bo\$158b2o\$160bo!`

EDIT 2: Another one in 38 gliders, following much the same procedure as the previous two:
`x = 218, y = 37, rule = B3/S2320bobo103bo\$20b2o102b2o50bo\$21bo103b2o47bobo\$3bo171b2o\$bobo77bo49bobo\$2b2o78bo48b2o\$80b3o49bo57bo6bo\$20bo63bo11bo91b2o5b2o\$20bobo60bo13bo3bo18b2o11b2o54b2o5b2o\$20b2o61b3o9b3ob2o18bo2bo10bobo9b2o30b2o\$80bo19b2o17bo2bo10bo11bo31bo\$2bo78bo38b2o24bo31bo\$obo76b3o49bo15bo31bo\$b2o23bo60bo15b2o18b2o5b2o16bo31bo\$26bobo56b2o16bo19bo6bobo16bo31bo\$26b2o58b2o16bo19bo25bo31bo\$52b2o22b2o20b2o3b2o13b2o3b2o19b2o3b2o25b2o3b2o28b2o3b2o\$23b3o26bobob2obo16bobob2obo14bobobo15bobobo21bobobo27bobobo10bobo17bobobobo\$23bo30bobob2o18bobob2o16bobo17bobo23bobo29bobo10b2o20bobo\$24bo9b3o16bobo21bobo5b2o12bobo17bobo23bobo29bobo12bo4bo14bob2o\$34bo19bo22bo7bobo11bo19bo25bo31bo10b2o7bobo12bo\$35bo9bobo15bo12b2o7bo12b2o18b2o24b2o30b2o9bo2bo6b2o12b2o\$46b2o14bo125b2o\$46bo15b3o90bobo\$155b2o\$22bo22b2o109bo26bo\$21b2o21bobo12bo122bobo10b3o\$21bobo22bo3bo7b2o93b3o26bobo10bo\$49b2o7bobo92bo29bo12bo\$49bobo102bo24b3o\$62bo118bo\$4bo56b2o117bo\$4b2o55bobo\$3bobo163b2o17b2o\$168bobo11bo4b2o\$170bo11b2o5bo\$181bobo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:Another one in 38 gliders, following much the same procedure as the previous two

If the first 18-bit still life can be synthesized, this procedure could be used to solve another 16-bit still life:
`x = 222, y = 52, rule = B3/S23207bo\$206bo\$206b3o2\$220bo\$219bo\$219b3o6\$86bo\$84b2o50bo\$85b2o47bobo\$135b2o\$33bo57bobo\$34bo56b2o\$32b3o57bo57bo6bo\$36bo19bo91b2o5b2o\$35bo21bo3bo18b2o11b2o54b2o5b2o19bo24bo\$35b3o17b3ob2o18bo2bo10bobo9b2o30b2o39bo21bobo\$32bo27b2o17bo2bo10bo11bo31bo38b3o22b2o\$33bo46b2o24bo31bo\$31b3o57bo15bo31bo69bo\$39bo23b2o18b2o5b2o16bo31bo66b2o\$37b2o24bo19bo6bobo16bo31bo66b2o\$bo25bo10b2o17bo6bo12bo6bo18bo6bo24bo6bo50bo\$b3o23b3o27b3o3b2o12b3o3b2o18b3o3b2o24b3o3b2o42b2o6b3o3b2o\$4bob2obo20bob2obo24bobo17bobo23bobo29bobo10bobo30bobo9bobobo\$b2obobob2o17b2obobob2o21b2obobo14b2obobo20b2obobo26b2obobo10b2o33bo6b2obobo\$bobobo21bobobo5b2o18bobobo15bobobo21bobobo27bobobo12bo4bo35bobob2o\$4bo24bo7bobo19bo19bo25bo31bo10b2o7bobo35bo\$28b2o7bo20b2o18b2o24b2o30b2o9bo2bo6b2o27b2o6b2o\$148b2o36bobo\$5b2o108bobo68bo18bobo\$5bobo107b2o88b2o\$b2o2bo110bo26bo39bo22bo\$obo139bobo10b3o25b2o\$2bo110b3o26bobo10bo26bobo\$113bo29bo12bo\$114bo24b3o33b3o39b2o\$6b2o133bo35bo38b2o\$6bobo131bo35bo8b3o30bo\$6bo178bo\$129b2o17b2o36bo\$128bobo11bo4b2o\$130bo11b2o5bo63b2o\$141bobo68b2o\$207b3o4bo\$207bo\$208bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

Sure enough, finished it in 56 gliders:
`x = 338, y = 52, rule = B3/S23300bo\$299bo\$299b3o2\$313bo\$312bo\$312b3o6\$69bo109bo\$67b2o108b2o50bo\$68b2o108b2o47bobo\$228b2o\$126bo57bobo\$73bo53bo56b2o\$70bo2bobo49b3o57bo57bo6bo\$37bo30bobo2b2o54bo19bo91b2o5b2o\$36bo32b2o57bo21bo3bo18b2o11b2o54b2o5b2o19bo24bo\$36b3o5bo83b3o17b3ob2o18bo2bo10bobo9b2o30b2o39bo21bobo\$31b2o9b2o81bo27b2o17bo2bo10bo11bo31bo38b3o22b2o\$30bobo10b2o81bo46b2o24bo31bo\$32bo91b3o57bo15bo31bo69bo\$14bobo5bo109bo23b2o18b2o5b2o16bo31bo66b2o\$15b2o3bobo107b2o24bo19bo6bobo16bo31bo66b2o\$15bo5b2o71bo25bo10b2o17bo6bo12bo6bo18bo6bo24bo6bo50bo45bo\$3bobo28bo38bo20b3o23b3o27b3o3b2o12b3o3b2o18b3o3b2o24b3o3b2o42b2o6b3o3b2o38b3o\$3b2o18b2o9bo26bo10bobob2obo17bob2obo20bob2obo24bobo17bobo23bobo29bobo10bobo30bobo9bobobo41bo\$4bo19b2o8bo27bo9bobobob2o14b2obobob2o17b2obobob2o21b2obobo14b2obobo20b2obobo26b2obobo10b2o33bo6b2obobo40b2obo\$23bo23bo12b3o10bobo18bobobo21bobobo5b2o18bobobo15bobobo21bobobo27bobobo12bo4bo35bobob2o40bobob2o\$b2o43b2o26bo22bo24bo7bobo19bo19bo25bo31bo10b2o7bobo35bo45bo2bo\$2o44bobo72b2o7bo20b2o18b2o24b2o30b2o9bo2bo6b2o27b2o6b2o45b2o\$2bo21b3o16bo197b2o36bobo\$26bo15b2o54b2o108bobo68bo18bobo\$25bo16bobo28b2o23bobo107b2o88b2o\$72b2o20b2o2bo110bo26bo39bo22bo\$74bo18bobo139bobo10b3o25b2o\$95bo110b3o26bobo10bo26bobo\$206bo29bo12bo\$207bo24b3o33b3o39b2o\$99b2o133bo35bo38b2o\$99bobo131bo35bo8b3o30bo\$99bo178bo\$222b2o17b2o36bo\$221bobo11bo4b2o\$223bo11b2o5bo63b2o\$234bobo68b2o\$300b3o4bo\$300bo\$301bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

One of the predecessors in the list is easy to create from known converters and a 14-bit still life:
`x = 94, y = 25, rule = B3/S234b2o18b2o18b2o18b2o18b2o\$2obobo14b2obobo14b2obobo14b2obobo14b2obobo\$ob2o16bob2o16bob2o16bob2o16bob2o\$4bo19bo19bo3bo15bo19bo\$b3o17b3o6bo10b3o4bobo10b3o3b2o12b3obo\$bo19bo7bo11bo6b2o11bo5b2o12bo2bo\$29b3o10b2o7b2o9b2o18b2o\$43bo7bobo9bo4bo\$22b3o7b2o8bo8bo10bo4b2o23bo\$32bobo7b2o18b2o3bobo21bo\$32bo58b3o\$7bo51b2o27b2o\$6b2o52b2o22bo3bobo\$6bobo50bo22bobo3bo\$2b2o79b2o\$3b2o\$2bo2\$14bo\$14b2o16b2o\$13bobo15b2o\$33bo\$17bo\$17b2o\$16bobo!`

Edit: Two easy 16-bit still lifes:
`x = 48, y = 27, rule = B3/S233bo29bo\$4b2o28b2o\$3b2o28b2o5\$2o2bo10b3o15b2o10b3o\$o2bobo9bo17bobo9bo\$bobobo10bo13b2obobo10bo\$2bobo25bobobo\$3bo29bo7\$7b2o28b2o\$3b2o2bobo23b2o2bobo\$2bobo2bo24bobo2bo\$4bo29bo3\$8b2o28b2o\$9b2o28b2o\$8bo29bo!`

Edit 2: The updated list of unsynthesized 16-bit still lifes:
`x = 1079, y = 94, rule = B3/S23962b2ob2o66b2o34b2o\$963bobo66bo2bo32bo2bob2o\$962bo3bo65b2obo31bobob2obo\$963b3obo66bob2obo28bobo\$716b2o30b2o2bo33b2o31b2o33b2o3bo29b2ob2o32b2o37bo2bo65bobob2o30bo\$6b2o2b2o30bobobo30bob2o135b2ob2o65b2ob2o32b2ob2o71b2ob2o134b2o102b2o2b2o66b3obo29bo3b3o30bobo32bo33bo2b3o29bo3bo31bobo2b2o35b2o66bo34b2o\$6bobo2bo29bob3obo28bob2obo135bobobobo63bobo34bobo71bobobo135bo2b2obo97bo2bo2bo64bo5bo29bo5bo28bo2bobo30bob2o31b2o33bobo31bo6bo\$8b2o31bo5bo28bo5bo134bo2bob2o62bo3bo32bo3bo70bo5bo134b2o2b2o98b2obobo65bo5bo29bo3b2o29b2obobo30bo2bo32bo33b2obo30b2o3bo\$6bo2bobo30b3obo30bob2obo135bobo65bob2o33bob2obo70bo3b2o136bo103bobo67bob3o31bobo33bo2bo31bobo32b3o33bobo30bo2bo\$6b2o2b2o32b2o32b2obo137b2o66bobobo32bobobo71bobo138bob2o100bo70b2o34b2o33bobo30bobob2o34bo32bobo30bobo\$290b2o35bo73b2o139bobo99b2o142bo31b2o37b2o33bo32bo34b2ob2o65b2o2bo30b2o2b2o\$963bobo66bo2bobo29bo2bo2bo\$962bo3bo67b2obo31b2obobo\$963b3obo68bob2o31bobo\$965bo2bo67bo2bo31bo\$966b2o69b2o31b2o4\$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o8\$287b2ob2o248b2ob2o2b2o\$288bobo32b2ob2o213bobo2b2o\$287bo3bo32bobo213bo2bo4bo\$287bob2obo30bo3bo212bobo10bo\$288bo2b2o30bob2o69bo144bo9b2o228b3o2b2o\$286bobo3b2o30bobobo4bo63bo3bo150b2o228b4o\$286bo6bo33b2o4bobo59b3ob2o143b2o2b2o240bo3bo\$286bo46b2o65b2o142b2ob2o236bo3b2ob2o\$549bo234bobobobob2o\$330b3o60b2o10bob2o374bo2bobo\$330bo63b2o9b2obo375b2obobo\$331bo61bo15b2o375bo2bo\$410bo375bobo\$403b2obobo136bo241bo\$403bob2ob2o135bo\$543b5o\$545bo\$545bo2\$315bobobobobobobobobobobobo58b2o\$395bobo\$397bo\$540b2ob2o\$294bo246bobo\$294bo245bo2bo\$286b2ob2o2bo246bobo\$287bobo3bo247bo\$286bo3bo2b2o27b2ob2o\$286bob2obo2bo28bobo3bo69bobo135bo3bo\$287bobobo3bo26bo3bo2bo65bo3b2o134bobo2bobo\$290bo4bo27b3o2b3o65b2o2bo4bob2o123b2o2b2o2bobo\$324bo3b3o64b2o8b2obo122bobo7bo\$291b2o30bo3bobo79b2o122bo9b3o\$326b4o72b2o6bo126b3o3bo\$326b3o73bobobobo130bo4bo\$327b2o76b2ob2o128bo\$400bo\$395bo3b2o\$393bobo3bobo\$394b2o8\$402bo\$401bo\$401b3o2\$400bo\$401bo\$399b3o3\$398bo6bob2o\$398b2o5b2obo\$397bobo9b2o\$402b2o6bo\$401bo2bobobo\$401b2o2b2ob2o3\$396b2o\$395bobo\$397bo!`

Edit 3: Another easy 16-bit still life by the same method as above:
`x = 18, y = 27, rule = B3/S233bo\$4b2o\$3b2o4\$2o\$o2b2o10b3o\$b2o2bo9bo\$3bobo10bo\$3b2o8\$7b2o\$3b2o2bobo\$2bobo2bo\$4bo3\$8b2o\$9b2o\$8bo!`

Alternatively:
`x = 18, y = 27, rule = B3/S238bo\$9b2o\$8b2o3\$4bo\$2bobo2bo\$3b2o2bobo\$7b2o6\$2o\$o2bo\$b2obo\$3bobo10bo\$3bobo9bo\$4bo10b3o5\$3b2o\$4b2o\$3bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

`x = 1079, y = 94, rule = B3/S23962b2ob2o66b2o34b2o\$963bobo66bo2bo32bo2bob2o\$962bo3bo65b2obo31bobob2obo\$963b3obo66bob2obo28bobo\$716b2o30b2o2bo33b2o31b2o33b2o3bo29b2ob2o32b2o37bo2bo65bobob2o30bo\$6b2o2b2o30bobobo30bob2o135b2ob2o65b2ob2o32b2ob2o71b2ob2o238b2o2b2o66b3obo29bo3b3o30bobo32bo33bo2b3o29bo3bo31bobo2b2o35b2o66bo34b2o\$6bobo2bo29bob3obo28bob2obo135bobobobo63bobo34bobo71bobobo239bo2bo2bo64bo5bo29bo5bo28bo2bobo30bob2o31b2o33bobo31bo6bo\$8b2o31bo5bo28bo5bo134bo2bob2o62bo3bo32bo3bo70bo5bo238b2obobo65bo5bo29bo3b2o29b2obobo30bo2bo32bo33b2obo30b2o3bo\$6bo2bobo30b3obo30bob2obo135bobo65bob2o33bob2obo70bo3b2o240bobo67bob3o31bobo33bo2bo31bobo32b3o33bobo30bo2bo\$6b2o2b2o32b2o32b2obo137b2o66bobobo32bobobo71bobo242bo70b2o34b2o33bobo30bobob2o34bo32bobo30bobo\$290b2o35bo73b2o241b2o142bo31b2o37b2o33bo32bo34b2ob2o65b2o2bo30b2o2b2o\$963bobo66bo2bobo29bo2bo2bo\$962bo3bo67b2obo31b2obobo\$963b3obo68bob2o31bobo\$965bo2bo67bo2bo31bo\$966b2o69b2o31b2o4\$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o8\$287b2ob2o\$288bobo32b2ob2o\$287bo3bo32bobo\$287bob2obo30bo3bo\$288bo2b2o30bob2o69bo384b3o2b2o\$286bobo3b2o30bobobo4bo63bo3bo380b4o\$286bo6bo33b2o4bobo59b3ob2o389bo3bo\$286bo46b2o65b2o383bo3b2ob2o\$784bobobobob2o\$330b3o60b2o10bob2o374bo2bobo\$330bo63b2o9b2obo375b2obobo\$331bo61bo15b2o375bo2bo\$410bo375bobo\$403b2obobo378bo\$403bob2ob2o5\$315bobobobobobobobobobobobo58b2o\$395bobo\$397bo2\$294bo\$294bo\$286b2ob2o2bo\$287bobo3bo\$286bo3bo2b2o27b2ob2o\$286bob2obo2bo28bobo3bo69bobo\$287bobobo3bo26bo3bo2bo65bo3b2o\$290bo4bo27b3o2b3o65b2o2bo4bob2o\$324bo3b3o64b2o8b2obo\$291b2o30bo3bobo79b2o\$326b4o72b2o6bo\$326b3o73bobobobo\$327b2o76b2ob2o\$400bo\$395bo3b2o\$393bobo3bobo\$394b2o8\$402bo\$401bo\$401b3o2\$400bo\$401bo\$399b3o3\$398bo6bob2o\$398b2o5b2obo\$397bobo9b2o\$402b2o6bo\$401bo2bobobo\$401b2o2b2ob2o3\$396b2o\$395bobo\$397bo!`

Another update to the list. 18 to go!
This is game of life, this is game of life!
Loafin' ships eaten with a knife!
towerator

Posts: 328
Joined: September 2nd, 2013, 3:03 pm

### Re: Synthesising Oscillators

A nice two-part partial:
`x = 15, y = 41, rule = B3/S234bo\$5bo\$3b3o2\$6bo\$5bo\$2bo2b3o\$obo\$b2o9bo\$5b2o3b3o\$4bo2bobo\$5b2o3bo\$2b2o7bo\$bobo8bo\$3bo7b2o6\$8bo\$8bo\$6b5o\$8bo\$8bo9\$12bo\$10b3o\$9bo\$10bo\$11bo2bo\$12bo\$8b2ob2o\$8b2o!`

The block in the corner can be replaced with pretty much anything with a corner. (Unfortunately, a glider in the same spot won't work.)
Last edited by Extrementhusiast on December 19th, 2013, 11:28 am, edited 1 time in total.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

It seems to me, out of the unsolved 16-bit still lifes, that many of them have a live cell (I will call this the axle) adjacent to exactly three other live cells (the neighbours). No two neighbours are orthogonally adjacent to each other, and the three are not all orthogonally adjacent to the axle.
`x = 252, y = 63, rule = LifeHistory2A2.2A30.A.A.A30.A.2A33.2A.2A37.2A.2A\$A.A2.A29.A.3A.A28.A.2A.A33.A.A.C.A35.A.A\$2.2A31.A5.A28.A5.A32.A2.C.2A34.A3.A\$A2.A.A30.3A.A30.A.2A.A33.A.A37.A.AC\$2A2.2A32.2A32.2A.A35.2A38.A.A.A\$154.2A19\$172.2A.2A35.2A32.2A\$173.A.A35.A2.A30.C2.A.2A\$172.A3.C34.2A.C29.A.C.CA.A\$173.2AC.A35.C.CA.A26.A.C\$105.2A30.2A2.A33.A2.A34.A.A.2A28.A\$2A.2A33.2A.2A28.2A2.2A26.3A.A29.A3.3A33.2A35.A32.2A\$.A.A33.A.A.A29.A2.C2.A24.A5.A29.A5.A\$A3.C32.A5.A28.AC.C.A25.A5.A29.A3.2A\$A.AC.A32.A3.2A30.C.A27.A.3A31.A.A\$.A.A.A33.A.A32.A30.2A34.2A\$4.A35.2A31.2A97.2A.2A34.2A2.A28.2A2.2A\$173.A.A35.A2.A.A27.A2.A2.C\$172.A3.C36.AC.C29.AC.C.A\$173.2AC.A37.C.2A29.C.A\$175.A2.A36.A2.A29.A\$176.2A38.2A29.2A17\$2.2A31.2A33.2A3.A29.2A.2A32.2A\$.A.A32.A33.A2.3A29.A3.A31.A.A2.2A\$A2.C.A30.A.2A31.AC33.A.A31.A6.A\$.AC.C.A30.C2.A32.A33.AC.A30.2A3.A\$3.C2.A31.A.A32.3A33.C.A30.A2.A\$3.A.A30.A.A.2A34.A32.A.A30.A.A\$4.A31.2A37.2A33.A32.A!`

Still lifes with axles (marked in white) appear to be harder to synthesise than those without axles. Maybe we need to compile a database of converters and other reactions that make axles?
Princess of Science, Parcly Taxel

Freywa

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

### Re: Synthesising Oscillators

Very rough predecessor to one of the pairs, but it might give some ideas:
`x = 11, y = 11, rule = B3/S2310bo\$2ob2o5bo\$bobo5bo\$o3bo4bo\$b3obo3bo\$3bo2bo2bo\$4bobo2bo\$5bo4bo2\$3b2ob2o\$b2obobob2o!`

The starting still life can be made easily.

EDIT: Another 16-bitter in 19 gliders:
`x = 115, y = 44, rule = B3/S2385bo\$85bobo\$85b2o\$82bo\$80bobo\$81b2o2\$85bo\$83b2o\$84b2o2\$75bobo15bo\$75b2o15bo\$58bo13bo3bo15b3o\$53bo3bo12bobo10b2o\$54b2ob3o11b2o9bo2bo\$53b2o27bo2bo9bo\$8bo63bo10b2o9b2o\$9b2obo59b2o20bobo\$8b2o2bobo56bobo\$12b2o18b2o16b2o28b2o25b2ob2o\$31bo2bob2o11bo2bob2o23bo2bob2o5b3o14bobobobo\$21bo10bobobo13bobobo25bobobo6bo16bo2bob2o\$20b2o11b2obobo12b2obo26b2obo7bo16bobo\$20bobo14b2o15bob2o26bob2o22b2o\$2o52bo2bo26bo2bo\$b2o52b2o28b2o\$o2\$39bo53b2o\$32bo5bo54bobo\$33bo4b3o52bo\$31b3o9\$36b2o\$36bobo\$36bo!`

EDIT 2: A somewhat better predecessor idea for that pair:
`x = 21, y = 16, rule = B3/S234b2ob2o\$5bobo\$4bo3bo6bo\$5b3obo4bo\$7bo2bo3b3o\$8bobo7b3o\$9bo8bo\$19bo\$6b2o\$bo3bobo4bo\$b2o3bo4b2o\$obo8bobo2\$8b2o\$7bobo\$9bo!`

Unfortunately, it still doesn't work.

EDIT 3: Now it works, with 22 gliders:
`x = 142, y = 25, rule = B3/S2328bo9bo\$29b2o5b2o\$28b2o7b2o\$2bo\$3b2o2bo20bo9bo\$2b2o2bo21b2o7b2o\$6b3o18bobo7bobo\$52b2ob2o21b2ob2o21b2ob2o26b2ob2o\$3bo27b2ob2o17bobo23bobo23bobo28bobo\$3b2o6bo13b2o4bo3bo4b2o10bo3bo21bo3bo21bo3bo11bo14bo3bo\$2bobo5bo15b2o4b3o4b2o12b3o5b3o15b3obo16bo4b3obo9bo16b3obo\$10b3o12bo8bobo4bo13bobo3bo19bo2bo16bo5bo2bo8b3o16bo2bo\$35b2o19b2o4bo19bobo14b3o6bobo29b2o\$60bo22bo25bo\$14b3o43b2o14b2ob2o21b2ob2o8b3o\$bo12bo44bobo13bobobobo20b2ob2o8bo\$b2o12bo61bobo36bo\$obo105bo\$108b2o\$107bobo\$4b3o\$4bo\$5bo8b2o\$14bobo\$14bo!`

EDIT 4: Another pair done in 27/29 gliders:
`x = 184, y = 50, rule = B3/S2356bo\$54bobo\$55b2o2\$134bobo\$135b2o\$135bo\$21bo16bo102bo\$22bo15b2o4bo67bo27bo\$20b3o14bobo5bo65bo28b3o\$43b3o65b3o\$75b2ob2o18b2ob2o27b2ob2o19b2ob2o\$5bo16bo31b2o6bo13bobo20bobo8bo20bobo21bobo\$4bo16bobo4bo13b3o8bo2bo4b2o12bo3bo18bo3bo6b2o19bo3bo19bo3bo\$b2ob3o13bo2bo3bo16bo7bob2o5bobo11bob2o19bob2o7bobo18bob2o3bo16bob2o\$obo18b2o4b3o13bo9bo22bo22bo31bo4bobo4bobo9bobobo\$2bo48bobo20bobo20bobo29bobo4b2o6b2o12b2o\$51b2o21b2o21b2o7b3o20b2o13bo\$19b2o8b2o70b2o3bo26b2o\$15bo2b2o8b2o72bo4bo26bo7b2o\$15b2o3bo9bo47b2o22bobo17b2o10bobo4b2o\$14bobo62b2o22b2o18b2o10b2o6bo\$78bo3b2o38bo\$82bobo\$82bo42b3o\$127bo12b2o\$126bo12b2o\$141bo\$129bo\$129b2o\$128bobo9\$154b2ob2o19b2ob2o\$155bobo21bobo\$154bo3bo19bo3bo\$154bob2o20bob2obo\$155bobobo4bo14bobobo\$158b2o4bobo15bo\$164b2o2\$161b3o\$161bo\$162bo!`

EDIT 5: Yet another pair done with a base of 37 gliders:
`x = 253, y = 37, rule = B3/S23140bo\$95bo42bobo\$94bo44b2o\$94b3o52bo8bo\$149bobo6bobo\$149b2o7b2o2\$145bo\$143b2o18bo54bo\$144b2o15b2o56bo\$41b2o66bo52b2o53b3o\$40bobobo65b2ob2o32bo53bo\$42bobobo62b2o2bobo30bobo51bo12bobo\$bobo40b2o67bo33b2o34bo16b3o11b2o\$b2o25bo20bo134bo29bo\$2bo24bobo18bobo131b3o2bo\$23bo3b2o19b2o17b2o38b2o34b2o41bobo2b2o3b2o24b2o2b2o19b2o\$3o18bobo21bo20bo2bo4b2o2b2o26bo2bob2o29bo2bob2o17b2o14b3o2bo2bo2bobobo5bo18bo2bo2bob2o14bo2bob2o\$2bo19b2o20bobo5bo12bobobo5b2obobo24bobobob2o28bobobob2o17bobo15bo3b2obob2o8bobo17b2obob2obo13bobob2obo\$bo43bobo3bo14bobo5bo3bo27bobo33bobo21bo16bo6bobo10b2o20bobo18bobo\$24bo21bo4b3o13bo39bo35bo46bobo7b2o23bobo20bo\$19b2o3b2o165bo7b2o25bo21b2o\$18bobo2bobo26b3o74b3o25b3o41bo\$20bo33bo76bo25bo\$53bo76bo27bo\$144bo\$143b2o74b2o5b2o\$143bobo74b2o5b2o6b2o\$148bo70bo6bo7b2o\$147b2o81b3o3bo\$135bo11bobo82bo\$135b2o94bo\$134bobo2\$149bo\$148b2o\$148bobo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Very impressive! For the second synthesis, the house with hook can be synthesized with 5 gliders due to Dean Hickerson:
`x = 35, y = 66, rule = B3/S23o\$b2o\$2o34\$32bo\$30bobo\$31b2o16\$14bo\$15b2o\$14b2o3\$34bo\$32bobo\$33b2o2\$31bo\$31b2o\$30bobo!`

based on your last synthesis, here is a possible predecessor for one of the remaining still lifes:
`x = 14, y = 17, rule = B3/S2312b2o\$10bo2\$8bo3bo\$9bobobo\$10b4o2\$b2o2b2o\$bo2bo2bob2o\$2b2obob2obo\$4bobo\$4bobo\$5bo3b4o\$2bo4b2o\$4o3bo3bo\$b3o3bo\$b2o!`

Edit: A possible predecessor to another still life, but perhaps too messy to do anything with:
`x = 15, y = 18, rule = B3/S237bo4bo\$6bobo\$9bob2o\$10bo\$b2o3b2o\$o2bobobo6bo\$2obobo8bo\$2bob2o3b4o\$2bo7b3o\$b2o9bobo\$6b3o5bo\$7b2o3bo\$bo7bob2o\$b2o\$obo\$6b2o\$6bobo\$6bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

One of the suggested ones in 39 gliders:
`x = 254, y = 39, rule = B3/S23140bo\$95bo42bobo\$94bo44b2o\$94b3o52bo8bo\$149bobo6bobo\$149b2o7b2o2\$145bo\$143b2o18bo36bo\$144b2o15b2o37bobo\$41b2o66bo52b2o36b2o\$40bobobo65b2ob2o32bo48bobo\$42bobobo62b2o2bobo30bobo48b2o\$bobo40b2o67bo33b2o34bo13bo7bo28bobo\$b2o25bo20bo134bo18b2o23b2o4b2o\$2bo24bobo18bobo131b3o2bo12b2o2b2o21bobo5bo\$23bo3b2o19b2o17b2o38b2o34b2o41bobo2b2o3b2o2bobo14b2o2b2o3bo20b2o2b2o\$3o18bobo21bo20bo2bo4b2o2b2o26bo2bob2o29bo2bob2o17b2o14b3o2bo2bo2bobobo2bo16bo2bo2bobo21bo2bo2bo\$2bo19b2o20bobo5bo12bobobo5b2obobo24bobobob2o28bobobob2o17bobo15bo3b2obob2o23b2obob2o23b2obobo\$bo43bobo3bo14bobo5bo3bo27bobo33bobo21bo16bo6bobo27bobo27bobo\$24bo21bo4b3o13bo39bo35bo46bobo27bobo27bo\$19b2o3b2o165bo29bo27b2o\$18bobo2bobo26b3o74b3o25b3o68bobo\$20bo33bo76bo25bo70b2o\$53bo76bo27bo70bo\$144bo\$143b2o75b2o4b3o\$143bobo65b2o6b2o5bo\$148bo63b2o7bo5bo\$147b2o62bo3b3o\$135bo11bobo65bo\$135b2o79bo\$134bobo2\$149bo\$148b2o\$148bobo61b3o\$214bo\$213bo!`

EDIT: Finished another pair with a base of 48 gliders:
`x = 382, y = 37, rule = B3/S23140bo\$95bo42bobo\$94bo44b2o\$94b3o52bo8bo\$149bobo6bobo\$149b2o7b2o2\$145bo\$143b2o18bo54bo\$144b2o15b2o56bo\$41b2o66bo52b2o53b3o\$40bobobo65b2ob2o32bo193bo17bo\$42bobobo62b2o2bobo30bobo64bobo124bo18bobo\$bobo40b2o67bo33b2o34bo30b2o124b3o16b2o\$b2o25bo20bo134bo29bo142bo\$2bo24bobo18bobo131b3o2bo167bobo\$23bo3b2o19b2o17b2o38b2o34b2o41bobo2b2o3b2o24b2o2b2o3b2o18b2o3b2o16b2o3b2o22b2o3b2o21b2o3b2o18b2o2b2o15bo\$3o18bobo21bo20bo2bo4b2o2b2o26bo2bob2o29bo2bob2o17b2o14b3o2bo2bo2bobobo24bo2bo2bobobo17bo2bobobo15bo2bobobo21bo2bobobo20bo2bobobo5bo15bo2bob2o10bobob2o\$2bo19b2o20bobo5bo12bobobo5b2obobo24bobobob2o28bobobob2o17bobo15bo3b2obob2o28b2obob2o14b3o2bobob2o17bobob2o23bobob2o22bobob2o8bobo12bobob2obo10bob2obo\$bo43bobo3bo14bobo5bo3bo27bobo33bobo21bo16bo6bobo32bobo18bo3bobo18bobobo24bobobo23bobobo10b2o12bobobo12b2obo\$24bo21bo4b3o13bo39bo35bo46bobo32bobo17bo6bo19bo2bo17bo7bo2bo10bobo11bo2bo7b2o16bo2bo12bo2bo\$19b2o3b2o165bo34bo20bo4b2o21b2o17bo9b2o3bobo3b2o13b2o7b2o18b2o14b2o\$18bobo2bobo26b3o74b3o25b3o86b2o44b3o14b2o5bo24bo\$20bo33bo76bo25bo88bobo50b2o9bo\$53bo76bo27bo111b2o26bo2bo10bo\$144bo126b2ob3o21bo2bo9b2o\$143b2o74b2o5b2o42bo3bo24b2o4b3o3bobo\$143bobo74b2o5b2o6b2o38bo29bo\$148bo70bo6bo7b2o70bo\$147b2o81b3o3bo\$135bo11bobo82bo\$135b2o94bo\$134bobo2\$149bo\$148b2o\$148bobo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Great work! Here's a predecessor to another that might be a bit too tight to work with at this point, but it might be a start:
`x = 14, y = 14, rule = B3/S239bo\$7b2o\$8b2o\$2bo\$bobob2o\$o2b2obo\$2o\$8b3o\$8bobo\$bob2o3bo\$b2obo\$7bo4b2o\$6b2o3b2o\$4b2o7bo!`

Edit: A modification to an unrelated synthesis:
`x = 20, y = 23, rule = B3/S2311bo\$12bo\$10b3o3bo\$6bo7b2o\$7b2o6b2o\$6b2o2\$3bo\$4b2o3bo\$3b2o5bo3b2o\$8b3o4bo\$15bobo\$16b2o6\$2o\$b2o\$o17b2o\$17b2o\$19bo!`

I was hoping it might help in finding the second 16-bit still life in the list, but I can't find any viable predecessors.
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

Extrementhusiast wrote:I've noticed that the boat-turning component is unnecessarily large:

Sokwe wrote:Another reduction by one glider:

This can be reduced one further when there is no protruding tab on the bottom (and even if not, the last two steps could be combined by replacing the blinker by any convenient bent-blinker or blinker-on-blinker spark):
`x = 74, y = 25, rule = B3/S239bo39bo\$9bobo37bobo\$bbo6boo31bo6boo\$obo37bobo\$boobbo35boobbo\$5bobo37bobo\$5boo38boo4\$7boo3bo15boo17boo3bo15boo\$6bobbobobo13bobobbo13bobbobobo13bobobbo\$7boboboo14bobobobo13boboboo14bobobobo\$6boobo16boobobboo12boobo8boo6boobobboo\$9bo19bo16bobbo7boo7bobbo\$9boo5b3o10boo16boo4b3o3bo7boo\$16bo38bo\$17bo36bo\$\$14boo\$15boo\$14bo\$18boo\$17boo\$19bo!`

Sokwe wrote:The second can be reduced by one from 20 to 19; claw to beehive (aka bookend to bun) can be done with two gliders. However, this becomes moot, as the beehive can be made directly from a boat, removing another 6 gliders, for a total of 13 gliders. Retro-fitting this back into the first one reduces that one from 18 to 16. New and improved old methods:

`x = 191, y = 110, rule = B3/S23137bo\$136bo\$136b3o20bo\$96bo62bobo\$49bo31bo13bo18b2o18b2o23b2o\$47bobo32bo7bobo2b3o16b2o18b2o21bo\$48b2o30b3o7b2o66bo\$8bo45bo36bo3bo60b3o\$7bo44b2o40b2o\$7b3o43b2o24b2o13bobo\$obo53b2o11bo8bobo8bo15bo19bo19bo19bo19bo\$b2o25b2o18b2o6bobo9bobo9bo7bobo13bobo17bobo17bobo8b3o6bobo17bobo\$bo7b2o13b2obobo14b2obobo6bo7b2obobo14b2obobo13bobo2bo14bobo2bo14bobo2bo6bo7bobo2bo16bo2bo\$8b2o13bobobo15bobobo15bobobo15bobobo15bobob2o14bobob2o14bobob2o7bo6bobob2o14bobob2o\$6bo3bo13bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo15b2o2bo\$4bobo20bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo\$5b2o21b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o17\$161bo\$161bobo\$157bo3b2o\$158b2o19b2o\$157b2o19bobo\$178bo\$177b2o5\$129bo\$127bobo\$128b2o\$88bo45bo\$87bo44b2o\$87b3o43b2o\$80bobo53b2o11bo19bo19bo\$81b2o25b2o18b2o6bobo9bobo17bobo17bobo\$81bo7b2o13b2obobo14b2obobo6bo7b2obobo14b2obobo14b2obobo\$88b2o13bobobo15bobobo15bobobo15bobobo15bobobo\$86bo3bo12b2o2bo15b2o2bo15b2o2bo15b2o2bo15b2o2bo\$84bobo20bobo17bobo17bobo17bobo17bobo\$85b2o21b2o18b2o18b2o18b2o18b2o3\$79b2o\$80b2o\$79bo\$87b3o\$87bo\$88bo7\$57bo\$58b2o\$57b2o10\$96bo\$95bo\$90bobo2b3o\$69b2o19b2o\$68bobo20bo\$68bo\$67b2o\$137bo\$64b3o69bo\$66bo69b3o\$65bo\$114b2o18b2o\$114b2o18b2o5\$79bo25bo19bo19bo19bo19bo\$78bobo23bobo17bobo17bobo17bobo17bobo\$74b2obobo25bo2bo16bo2bo16bo2bo16bo2bo14bobo2bo\$73bobobo25bobob2o14bobob2o14bobob2o9bo4bobob2o14bobob2o\$73b2o2bo25b2o2bo15b2o2bo15b2o2bo8bobo4b2o2bo16bo2bo\$77bobo27bobo17bobo17bobo7b2o8bobo17bobo\$78b2o28b2o18b2o18b2o18b2o18b2o\$95bo63b3o\$94b2o65bo\$94bobo63bo!`

I accidentally found the above drastic improvement as a result of tinkering to try to build the following related object (which is a plausible predecessor for the above two objects). When I tried to actually use an existing tool to make this object (rather than trial and error), my very first copy+paste attempt worked (without even needing to make any phase adjustments!), from 16 gliders.
(On retrospect, I had found a 25-glider synthesis on 10/24 that I had forgotten about, so the above two would have been buildable, as I had the pieces, and had even documented them separately - I just forgot to glue them together! No matter, as this subsequent research has made several drastic improvements in all three objects, which is good):
`x = 168, y = 120, rule = B3/S23104bo\$102boo51bo\$103boo49bo\$24bo129b3o\$22bobo73bo15bo\$23boo42bo31boo12bo18boo18boo\$65bobo30boo3bo4bobobb3o16boo18boo\$28bobo35boo33boo5boo\$28boo42bo29boo5bo3bo\$20bo8bo40boo40boo\$18bobo50boo39bobo\$19boo53boo11bo19bo14boo18boo18boo\$29bo12bo3boo14bo3boo6bobo5bo3bobo13bo3bobo12bobbo16bobbo16bobbo\$28bo12bobobobo13bobobobo6bo6bobobobo13bobobobo13bobobbo14bobobbo14bobobbo\$28b3o11boobo16boobo16boobo16boobo16booboo15booboo15booboo\$32b3o10bo19bo19bo19bo19bo19bo19bo\$24bo7bo12bobo17bobo17bobo17bobo17bobo17bobo17bobo\$23boo8bo12boo18boo18boo18boo18boo18boo18boo\$23bobo17\$11bobo\$5bobo4boo\$6boo4bo\$6bo\$\$99bo9bo\$100boo5boo\$99boo7boo39bobo\$150boo\$98bo51bo\$98boo43bobo\$97bobo44boobboo\$144bo3bobo13boo\$93bo54bo15bobo\$91bobo71boo\$92boo\$120boo18boo18boo\$84boo18boo15bobboo15bobboo15bobboo\$80boobobbo13boobobbo14bobobbo14bobobbo14bobobbo\$80bobooboo13bobooboo15booboo15booboo15booboo\$85bo19bo19bo19bo19bo\$85bobo17bobo17bobo17bobo17bobo\$86boo18boo18boo18boo18boo3\$98boo\$97boo\$99bo6\$40boo\$39boo\$41bo\$9bo27boo\$9boo25bobo\$8bobo27bo7\$70bo\$69boo\$69bobo\$\$52boo\$51boo\$53bo15\$46bo86bobo\$47bo55bo30boo\$45b3o53bobo30bo\$9bo56bo35boo37bobo\$7bobo3bo52bobo16bo19bo35boo\$8boobbo24bo28boo16bobo17bobo35bo\$4boo6b3o9boo9bobo16boo28bobbo16bobbo27bo\$4bobo17boboboo6boo7bo8boboboo25boo18boo29boo\$5boo3boo13boobobo10boboo10boobobo74boo\$10bobo16bo9bobobboo13bo\$oo8bo9boo18boo8boo30boo18boo18boo18boo19bo\$bobboo15bobboo25bobboo25bobbo16bobbo16bobbo16bobbo17bobo\$bobobbo14bobobbo24bobobbo24bobobbo14bobobbo14bobobbo14bobobbo16bobbo\$bbooboo15booboo25booboo25booboo15booboo15booboo15booboo14boboboo\$5bo19bo29bo29bo19bo19bo19bo15boobbo\$5bobo17bobo27bobo27bobo17bobo17bobo7boo8bobo17bobo\$6boo18boo28boo7bo20boo18boo18boo8boobbo5boo18boo\$64boo69bo3boo\$64bobo72bobo!`

Extrementhusiast wrote:Predecessor to another 16-bitter:

I'm not terribly worried about this one, since it's been superceded, but it still has a couple of interesting points. I can't think of any way to make either of the two still-lifes while the other is present (at least not with any currently-known construction techniques). Two of the gliders at the top pass through each other (but a simple kick-back could fix that). The resulting debris can be cleaned up by one glider one each side:
`x = 39, y = 25, rule = B3/S2321bo\$20bobo\$21boo4\$22bobo\$22boo\$23bo\$\$21boo\$20bobbo\$14boo5boo11boo\$14bobo17bobo\$12boo3bo14boo3bo\$12bo5bo13bo5bo\$13bo3boo14bo3boo\$14bobo17bobo\$15boo18boo\$\$bo9bo\$obo7bobo\$boo3boobbobo\$7boobbo\$6bo!`

It does lead to the following shillelagh-to-canoe conversion, which also works on claws in other places:
`x = 81, y = 40, rule = B3/S23o\$boo\$oo3\$19bo\$19bobo\$19boo9\$39boo18boo18boo\$5boo28boo3bo14boo3bo14boo3bo\$6bo29bobbo16bobbo16bobbo\$6boboo26bobo17bobo17bobo\$7bobbo26bo5boo12bo5boo12bo\$9boo31bobbo16bobbo\$23boo18boo18boo\$23bobo\$23bo41bo\$64boo\$64bobo4\$43boo18boo\$42bobo17bobo\$43bo19bo\$19b3o\$19bo\$20bo\$8bo\$6bobobbo\$7boobbobo\$11boo!`

Unfortunately, it doesn't work on the two missing 16s with similar hooks (plus the Silver's P5 on cis hook w/tail) for the same reason existing methods don't work - the 4-bit diagonal pre-block predecessor gets too close to the rest of the object for one generation.

Sokwe wrote:I only count 35. Did you see these four by Extrementhusiast?

I had counted 36; the one I had missed was Extrementhusiast's domino-between-eaters, based on Towerator's suggestions. I had thought that one was already done, confusing it with a pseudo-still-life I had made last week (that also had a bridged tail-first eater in it).

I just partially solved the tail-to-snake conversion problem. It works via hook-with-tail, which makes those objects easier (since it's easier to turn that into a snake than vice versa).
This solves one 16-bit P2, plus some still-lifes (2 18s, 2 19s, 3 20s, 10 21s, 7 22s, 12 23s, 49 24s). Surprsingly enough, this only seems to be useful in this one oscillator; I had thought it was needed in more places.
`x = 164, y = 113, rule = B3/S2368bo\$66boo\$67boo8\$57bobo\$57boo19boo18boo18boo18boo18boo\$58bo18bob3o15bob3o15bob3o15bob3o15bob3o\$77bo4bo14bo4bo14bo4bo14bo4bo14bo4bo\$39bo38b4o16b4o16b4o16b4o16b4obo\$40bo104bobo14bo\$38b3o39boo3bo14boo3bo14boo18boo3boo13bo\$42bo37boobbobo13boobbobo13boo18boo4bo13boo\$42boo40bobo17bobo\$41bobo41bo19bo41b3o\$107boo38bo\$107bobo32boo4bo\$107bo35boo\$142bo6\$66boo\$66bobo\$66bo4\$32boo\$31bobo\$33bo8\$135bo\$136bo\$134b3o\$118boo18boo\$obo7bo106bobbo16bobbo\$boo5bobo107boo18boo\$bo7boo\$20bo74bobo\$18boo70bo5boo\$19boo70bo4bo8bo\$10bo78b3o12bo\$8bobo93b3o\$9boo\$\$107bo\$92boo14bo\$18boo18boo18boo18boo13boo3boo6b3o11bo19bo19bo\$17bob3o8bo8b3o17b3o17b3o10bo6b3o8bo7bobo17bobo17bobo\$17bo4bo7bobo4bo4bo14bo4bo14bo4bo14bo4bo7bobo4bo4bo14bo4bo14bo4bo\$18b4obo6boo5b5obo13b5obo13b5obo13b5obo6boo5b5obo13b5obo13b5obo\$22bo19bo19bo19bo19bo19bo19bo19bo\$20bo18b3o17b3o17b3o17b3o17b3o17b3o17b3o\$20boo17bo19bo19bo19bo19bo19bo19bo\$12bo97bo\$10bobo31boo18boo43boo\$11boo31boo18boo43bobo\$67boo\$13b3o51bobo\$15bo51bo\$14bo\$\$26b3o\$26bo\$27bo13\$50bo29bo19bo19bo19bo19bo\$48bobo27bobo17bobo17bobo17bobo17bobo\$47bo4bo21boobo4bo11boobo4bo14bo4bo14bo4bo14bo4bo\$47b5obo5bobo11bobob5obo9bobob5obo13b5obo13b5obo13b5obo\$52bo6boo13bo7bo11bo7bo19bo19bo19bo\$49b3o8bo18boo10boo6boo18boo12bo5boo18boo\$40boo7bo29bo10bobo6bo19bo14boo3bo19bo\$41boo12bo24bo11bo7bo19bo12boo5bo19bo\$40bo13bo22b3o17b3o17b3o17b3o19boo\$54b3o20bo19bo19bo19bo\$43boo\$36boo6boo89boobb3o\$34booboo4bo9boo79bobobbo\$34b4o15bobo80bo3bo\$35boo16bo\$138bo\$137boo\$46b3o9bo78bobo\$46bobbo7boo\$46bo10bobo\$46bo\$47bobo!`

Unfortunately, this requires the temporary-boat-bit kludge, as the snake head momentarily pops out; this makes his mechanism unusable in some other situations. However, it can be adapted when the tail is against a snake, giving these two new missing still-lifes for 34 and 40 (which can also, if desired, be assembled starting with the snake itself):
`x = 170, y = 85, rule = B3/S23135bo\$10bo9bo115booboo16bo\$11boo7bobo112boobbobo14bobo\$10boo8boo117bo17boo\$\$66bo\$19bobo15boo18boo5boo11boo18boo18boo18boo18boo\$19boo13boobbo15boobbo6boo7boobbo15boobbo15boobbo15boobbo15boobbo\$8boo3boo5bo12bobobo15bobobo17bobo17bobo17bobo17bobo17bobo\$9boobbobo16bobboboo13bobboboo5bo10boboo16boboo16boboo16boboo16boboo\$8bo4bo4boo13boo18boo8boo11bobbo16bobbo16bobbo16bobbo16bobbo\$18bobobboo38bobo11boo18boo18boo18boo18boo\$18bo3boo24boo\$24bo24boo8b3o\$48bo10bo16boo18boo\$53boo5bo15boo18boo\$52bobo\$54bo44b3o\$99bo\$100bo13\$6bobo\$9bo\$9bo\$6bobbo9bo38bo\$7b3o8bo7bo31bobo\$18b3o4bo32boo\$25b3o113bo\$36boo18boo82bo\$36boo18boo82b3o\$10bo6bo75bobo34bobo\$8bobo5bobo69bo4boo36boo4bobo\$boo6boo6boo70bo4bo36bo6boo\$4o19boo62b3o48bo\$ooboo18bobo5boo18boo18boo10boo6boo\$bboo13boo4bo8bo4boo13bo4boo13bo4boo5boo6bo4boo18boo15bo12boo18boo\$14boobbo13boboobbo13boboobbo13boboobbo4bo4boobboboobbo13boboobbo15boo6boboobbo15boobbo\$15bobo15bobobo15bobobo15bobobo9bobo3bobobo14boobobo15bobo6boobobo14bobbobo\$15boboo18boo18boo18boo10bo7boo18boo28boo13boo3boo\$7bo8bobbo16bobbo16bobbo16bobbo16bobbo16bobbo26bobbo16bobbo\$7boo8boo18boo18boo18boo18boo18boo28boo18boo\$6bobobboo128boo\$10boo123boo3boo\$12bo121bobo5bo\$b3o132bo\$3bo\$bbo12b3o\$15bo\$16bo11\$93bo\$91boo\$19bo72boo\$17bobo\$14boobboo33bo\$15boo34bobo19boo14bo3boo\$14bo22boo13boo3boo14boobboo10boobboobboo18boo\$18bobo17bo10boo7bo19bo9bobo7bo15boobbo\$18boo17bo10bobo6bo19bo19bo15bobobo\$19bo17boo11bo6boo18boo13boo3boo13bobboboo\$22bo68bobo19boo\$21boo70bo\$21bobo71boo\$95bobo\$95bo!`

This also solves one 19-bit pseudo-still-life for 36 (plus indirectly three trivial related carrier-based ones for 42, 42, and 48).
`x = 170, y = 78, rule = B3/S2388bo\$86bobo\$87boo11bo\$98bobo5boo\$99boo4boo23bo7bo\$75boo18boo10bo23boo6bo\$76bo8b3o3bo4bo16booboobo10boo5b3o3booboobo13booboobo\$55boo19bobo8bo4boobbobo15boboboo24boboboo12boboboboo\$56boo19boo7bo4boo4boo15bo29bo17bobo\$55bo3boo54bo21b3o5bo15boobbo\$59bobo52boo23bo4boo18boo\$59bo27bo50bo\$87boo11boo\$86bobo10boo\$101bo36boo\$97boo38bobo\$96bobo40bo\$98bo\$140bo\$139boo\$139bobo\$136bo\$136boo\$135bobo4\$53bo\$52bo\$39bo12b3o\$40bo\$38b3o\$49bo\$47boo\$43bobobboo\$44boo\$3booboobo13booboobo14bo8booboobo13booboobo13booboobo13booboobo23booboobo13booboobo\$bboboboboo12boboboboo22boboboboo14boboboo14boboboo14boboboo16bo7boboboo14boboboo\$bbobo17bobo27bobo15bobobo15bobobo15bobobo19bobo3bobobo14boobobo\$boobbo15boobbo25boobbo13boboobbo13boboobbo13boboobbo14bo4boobboboobbo13boboobbo\$4boo18boo13boo13boo4bo8bo4boo13bo4boo13bo4boo15boo6bo4boo18boo\$37booboo18bobo5boo18boo18boo20boo6boo\$37b4o19boo72b3o\$o23boo12boo6boo6boo80bo4bo\$boo20bobo19bobo5bobo79bo4boo\$oo22bo22bo6bo85bobo\$5boo66boo18boo\$4bobobo64boo18boo\$6bobobo51b3o\$8boo45b3o4bo32boo\$44b3o8bo7bo31bobo\$43bobbo9bo38bo\$46bo\$46bo\$43bobo9\$29bobo105bo\$30boo106boo\$30bo106boo\$32bo13boobo16boobo13booboobo13booboobo13booboobo13booboobo13booboobo\$27boobbo14boboo12boobboboo12boboboboo12boboboboo12boboboboo3boo7boboboboo14boboboo\$26boo3b3o29boo18bo19bo18bobo7bobo7bobo19bo\$28bo33bo60boo9bo8boo20bo\$23boo139boo\$24boo73bo39bo\$23bo75boo38boo4boo\$98bobo37bobo5booboo\$145bo3bobo\$101b3o45bo\$101bo\$102bo!`

This mechanism also solves 1 missing 18-bit still-life (w/mango instead of beehive), 2 19s, 1 20, 5 21s, 5 22s, 17 23s and 31 24s,
plus three pseudo-still-lifes (at 20, 23, and 24 bits). Unfortunately, it failes on one obvious case, the 20-bit snake-behind-sidewalk, because one of the sides gets in the way of an incoming glider. Here are a few not-quite-working attempts to adapt this mechanism to this situation (along with the reference working version above):
`x = 117, y = 68, rule = B3/S2316bo39bo39bo\$15bo39bo39bo\$bbo12b3o24bo12b3o24bo12b3o\$3bo39bo39bo\$b3o37b3o37b3o\$12bo39bo39bo\$10boo38boo38boo\$6bobobboo33bobobboo33bobobboo\$7boo38boo38boo\$7bo8booboobo24bo8booboo26bo8booboo\$15boboboboo32bobobo35bobobo\$15bobo37bobobbo6bo27bobobbo\$14boobbo35boobbobo6bobo24boobbobo\$bboo13boo4bo18boo13booboo5boo13boo13booboo\$ooboo18bobo14booboo35booboo\$4o19boo15b4o36b4o\$boo6boo6boo22boo6boo6boo22boo6boo6boo\$8bobo5bobo29bobo5bobo11b3o15bobo5bobo\$10bo6bo32bo6bo5boo5bo19bo6bo5boo\$63bobo5bo31bobo\$63bo39bo\$25b3o\$18b3o4bo29b3o37b3o\$7b3o8bo7bo20b3o7bo29b3o7bo\$6bobbo9bo26bobbo6bo29bobbo6bo\$9bo39bo39bo\$9bo39bo39bo\$6bobo37bobo37bobo13\$16bo39bo39bo\$15bo39bo39bo\$bbo12b3o24bo12b3o24bo12b3o\$3bo39bo39bo\$b3o37b3o37b3o\$12bo39bo39bo\$10boo38boo38boo\$6bobobboo33bobobboo33bobobboo\$7boo38boo38boo\$7bo8booboo26bo8booboo26bo8booboo\$15bobobo35bobobo35bobobo\$15bobobbo34bobobbo34bobobbo6bo\$14boobbobo33boobbobo33boobbobo6bobo\$bboo13booboo20boo13booboo20boo13booboo5boo3b4o\$ooboo35booboo25bo9booboo27bo3bo\$4o25b4o7b4o25bo10b4o28bo\$boo6boo6boo10bo3bo7boo6boo6boo10bo3bo7boo6boo6boo14bo\$8bobo5bobo10bo18bobo5bobo10b4o15bobo5bobo\$10bo6bo5boo5bo19bo6bo5boo25bo6bo5boo\$23bobo37bobo37bobo\$23bo39bo39bo\$\$15b3o40b3o34b3o\$7b3o7bo29b3o8bo28b3o7bo\$6bobbo6bo29bobbo9bo26bobbo6bo\$9bo39bo39bo\$9bo39bo39bo\$6bobo37bobo37bobo!`

A mechanism where the head remains unmoved would be much more useful in general, as it wouldn't require temporary mangling of the foundation object.

Here are a couple of partial solutions I came up with years ago. Maybe somebody can find a way to make them work:
`x = 71, y = 17, rule = B3/S2310bo\$10bobo\$10boo\$\$9bo30bo\$10boobo27bo\$9boobb3o23b3o\$13boo27bo\$12bo3bo25bobbo\$4boobboobbo3bo17boobboob3obo18boo\$4bobbobobbo3bo17bobbobobbo21bobboobo\$5bobo5boobo18bobo5bo21boboboo\$oobobobo22boobobobo22boobobo\$obooboo3boo18bobooboo3boo18bobooboo\$10bobob3o22boob4o\$8bobbobbo26bob3o\$15bo!`

A tool to remove a long bookend. Not sure how useful this will be:
`x = 25, y = 15, rule = B3/S238bobo\$boboo3boo3bo7boboo\$boobo4bo3bobo5boobo\$13boo\$b6o14b3o\$obbo3bobboo8bobbo\$oo4boobbobo7boo\$10bo\$\$5b3o\$7bo\$6bo\$8b3o\$8bo\$9bo!`

(and now, for comments on this past week's results:)

Sokwe wrote:An easy solution to one of the 16-bit still lifes from a 13-bit still life:

Oh nice! There were several of the 16s that need "boat to eater" conversions, which unfortunately are all obtrusive. I

hadn't thought about using a method that relies on a temporary hiccup behind it. I'll have to see where else this trick can come in handy!

Extrementhusiast wrote:Now it works, with 22 gliders:

This leads to roundabout beehive-to-loaf and mango-to-loaf converters, both of which can come in handy in many other places.

Sokwe wrote:Great work! Here's a predecessor to another that might be a bit to tight to work with at this point, but it might be a start:

This is good, because being able to make this kind of weld is one of the missing tools needed in many similar syntheses.

I'm positively astounded at how much progress you have all made. I was hoping to get the list down to at least 32, which would mean that 99% of the 16s had syntheses, but now it seems to be down to around a third of that!
mniemiec

Posts: 1045
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

I wrote:Here's a predecessor to another...

This might be a better start (presuming the long hook with tail can be placed that closely):
`x = 13, y = 20, rule = B3/S2311bo\$7b2o3bo\$6bo5bo\$7b5o2\$2bo\$bobob2o\$o2b2obo3b2o\$2o8bo\$9bobo\$4bo3b2o\$bobobo2b2o\$b2o2bo3bo\$5b2o2bo\$9bobo\$11bo2\$3b2o\$2bobo\$4bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

mniemiec wrote:A tool to remove a long bookend. Not sure how useful this will be:
`x = 25, y = 15, rule = B3/S238bobo\$boboo3boo3bo7boboo\$boobo4bo3bobo5boobo\$13boo\$b6o14b3o\$obbo3bobboo8bobbo\$oo4boobbobo7boo\$10bo\$\$5b3o\$7bo\$6bo\$8b3o\$8bo\$9bo!`

Actually not that useful, considering this alternative:
`x = 25, y = 35, rule = B3/S238bobo\$bob2o3b2o3bo7bob2o\$b2obo4bo3bobo5b2obo\$13b2o\$b6o14b3o\$o2bo3bo2b2o8bo2bo\$2o4b2o2bobo7b2o\$10bo2\$5b3o\$7bo\$6bo\$8b3o\$8bo\$9bo8\$bob2o16bob2o\$b2obo16b2obo2\$b6o14b3o\$o2bo3bo12bo2bo\$2o4b2o12b2o2\$7bo\$7b2o\$6bobo\$10b2o\$10bobo\$10bo!`

And now we're getting down to the bottom of the barrel.

EDIT:
Sokwe wrote:
I wrote:Here's a predecessor to another...

This might be a better start (presuming the long hook with tail can be placed that closely):
`x = 13, y = 20, rule = B3/S2311bo\$7b2o3bo\$6bo5bo\$7b5o2\$2bo\$bobob2o\$o2b2obo3b2o\$2o8bo\$9bobo\$4bo3b2o\$bobobo2b2o\$b2o2bo3bo\$5b2o2bo\$9bobo\$11bo2\$3b2o\$2bobo\$4bo!`

This works:
`x = 33, y = 15, rule = B3/S232bo25bo\$bobob2o20bobob2o\$o2b2obo19bo2b2obo\$2o24b2o\$8bobo\$8b2o2b3o15bo\$bob2o4bo2bo14bobobo\$b2obo8bo13b2o2bo\$16b3o12b2o\$16bo\$17bo\$4b2o\$5b2o4b2o\$4bo5b2o\$12bo!`

EDIT 2: An alternate predecessor:
`x = 9, y = 8, rule = B3/S232bo\$bobo\$o2b3o\$2o4bo\$5b2o\$3bo2b2o\$o2bo2b3o\$b2o4b2o!`

I'm thinking that that preblock might not be able to fit in there, though.

EDIT 3: A nice still life that comes from a methuselah I call the grate:
`x = 48, y = 14, rule = B3/S2340bo\$39b4o\$39b3o\$42bo\$41bo2bo2bo\$22b3o15bo3bo2bo\$2b3o14bo4bo13bo2b2obobo\$3bo14b3o3bo13bobob2o2bo\$2bo16bo4bo12bo2bo3bo\$2bo21bo12bo2bo2bo\$o41bo\$43b3o\$42b4o\$44bo!`

I still need a good grate synthesis for it, though.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

I wrote:This might be a better start...

In this particular case, it might be better to just shear off half of an extra long barge and add a domino spark:
`x = 15, y = 12, rule = B3/S235bo\$4bobo\$3bo2b3o4bo\$3b2o4bo2bo\$8bobob3o\$7bobo\$b2o3bobo\$4obobo2b3o\$3o3bo3bo\$2bo5b2o\$8bo\$8bo!`

Edit 2: Removed previous edit (see my next post).
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

Stillator in 78 gliders:
`x = 535, y = 45, rule = B3/S23508bobo\$508b2o\$493bo15bo\$222bo268b2o\$223bo12bo245bo9b2o9bo\$221b3o12bobo234bobo4bobo13bo6bobo\$62bobo171b2o236b2o5b2o13bobo4b2o\$62b2o410bo21b2o\$63bo152bo13bobo\$217bo12b2o113bo\$215b3o13bo76bobo35bo155bo\$235bobo31bobo36b2o34b3o155bobo\$41bo107bo63b2o20b2o32b2o38bo38bo25bo127b2o\$8bobo28b2o108bobo60bobo21bo33bo76bo27b2o\$8b2o18b2o10b2o8b2o97b2o45bobo15bo132b3o24b2o2b2o54bo\$9bo17bo2bo18bo2bo33bo27bo20bo32bo21bo6b2o22bo156b2o52bobo48bo\$20bo6b3o7bo11b3o34b3o25b3o18b3o30b3o4bo14b3o4bo23b3o209b2o47bobo5bo39b2o\$7bo13bo13b2o52bo27bo20bo32bo3bobo15bo6bo23bo7bo19bo42bo41bo30bo31bo6bo33bo40bo2bo2b3o38bo2bo\$5bobo11b3o5b3o6b2o11b3o34b3obo23b3obo16b3obo28b3obo2b2o2b2o9b3o2bo3b2o20b3o6b2o18b3o2bo37b3o2bo36b3o2bo25b3o2bo22bobob2o5b3o26bo4b3o41b2o2bo3b2o35bob3o\$3o3b2ob3o14bo3bo17bo3bo32bo3bo23bo3bo16bo3bo11bo16bo3bo6b2o9bo3b3o3bobo18bo3b3o4b2o16bo3b3o10bobo23bo3b3o35bo3b3o24bo3b3o23b2o2b2o3bo3b2o24bo3bo3b2o44bobo2bo34bobo2b2o\$2bo6bo16b2ob2o18bobobo32bobo25bobo18bobo11b2o17bobo9bo9bobo28bobo2bo23bobo13b2o25bobo5b2o32bobo28bobo26bo9bobo2bo23bo4bobo2bo42b2ob2o2bo32b2ob2obo\$bo8bo12bo9bo14b2ob2o32b2ob2o23b2ob2o16b2ob2o10bobo15b2ob2o17b2ob2o26b2ob2o9bo14b2ob2o13bo24b2ob2o3bo2bo30b2ob2o3b2o21b2ob2o3b2o29b2ob2o2bo26b2ob2o2bo44bo4bo34bo2bo\$21bobo9bobo85b2o14bo16b2o14bo21bo18b2o10bo9b2o17bo42bo4bo2bo33bo4bo25bo4bo33bo4bo28bo4bo43bobo3bo15bo17bobo\$22b2o9b2o48bo9bobo12bo11bo2bo13bobo13b2o15bobo19bobo15bobo10bobo7bobo16bobo9b3o28bobo3b2o34bobo3bo24bobo3bo32bobo3bo27bobo3bo43bobo3bo7b2o4bo19bo\$84bo8b2o11bobo3bo7bo2bo14b2o15bo15bobo19bobo16bo11bobo26bobo8bo31bobo39bobo3bo24bobo3bo32bobo3bo27bobo3bo43bo5bo5b2o5b3o\$82b3o9bo12b2o2bobo2b2o3b2o49bo21bo30bo28bo10bo31bo27bo13bo5bo24bo5bo32bo5bo27bo5bo49bo6bo\$111bobob2o206b2o21bo30bo38bo33bo49bo\$22b3o7b3o44b3o12b2o16bo4bo4bo184bo16b2o21bo30bo38bo33bo37b2o10bo\$24bo7bo48bo12bobo24b2o183bo41bo30bo38bo33bo36bobo10bo\$23bo9bo35bo10bo13bo20b2o4bobo182b3o40bo30bo38bo33bo35bo13bo\$57bobo8b2o44bobo233bo30bo38bo33bo17b2o30bo\$57b2o9bobo45bo108bo72b2o7bo43bo30bo38bo33bo17b2o30bo\$58bo83bobo80b2o72b2o6b2o4b2o37bo30bo38bo33bo15bo33bo\$142b2o80bobo43b2o26bo7bobo3bo2bo37bo30bo38bo33bo43bo5bobo\$57b2o84bo127b2ob3o35bo2bo38bobo28bobo36bobo31bobo39b2o6b2o\$57bobo47b3o160bo3bo28bo9b2o40b2o29b2o37b2o32b2o21b3o15bobo\$57bo51bo40b2o123bo27b2o179bo\$108bo40b2o151bobo178bo\$144b3o4bo347b2o\$144bo353bobo\$145bo354bo14b2o\$48bo466bobo\$48b2o425b3o37bo\$47bobo427bo\$476bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Since Extrementhusiast posted before I made my previous edit, I will copy it here:

A very good start to one of the unsynthesized griddles (found in Lewis' collection of soup results):
`x = 160, y = 65, rule = B3/S2337bo\$36bo67bo\$bo34b3o64bo\$2bo31bo9bo58b3o\$3o32bo8bobo54bo\$33b3o8b2o53bobo\$21b2o18b2o57b2o\$3b2o15bo2bo16bo2bo\$3bobo15bobo17bobo40b2o18b2o19b2o13b3o12b2o\$3bo18bo19bo41bo2bo16bo2bo16bo2bo11bo3bo10bo2bo\$85b2obo16b2obo16b2obo14bo11b2obo\$86bobo17bobo17bobo13bo13bo\$40bo45bob2o16bob2o16bob2o11bo14bob2o\$41b2o42b2o2bo15b2o2bo15b2o2bo11bo13b2o\$40b2o42bo2bo16bo2bo16bo2bo26bo2bo\$36b3o45bobo17bobo17bobo14bo13b2o\$38bo46bo19bo19bo\$37bo3\$36b2o2b3o\$35bobo2bo\$37bo3bo34\$71b2o\$71bobo\$71bo4\$68b2o\$67b2o\$69bo!`

One of the recently synthesized 16-cell still lifes can be synthesized for cheap using this reaction:
`x = 13, y = 20, rule = B3/S236bo\$7bo\$5b3o4bo\$10b2o\$4bo6b2o\$3b2o\$3bobo8\$bo\$obo\$obo\$bo7b2o\$9b2o\$3b3o!`

Unfortunately, none of the remaining unsynthesized 16-cell still lifes seemed to be be among the results, but the following has previously been suggested as part of a predecessor of one of them:
`x = 54, y = 91, rule = B3/S2314bo\$15bo\$13b3o40\$49b2o\$49b2o4\$51bo\$32b2o17bobo\$32bobo16b2o\$33bo\$48bobo\$49b2o\$49bo4\$52bo\$51b2o\$51bobo4\$51b3o\$51bo\$52bo2\$39b3o\$41bo\$40bo11\$bo\$b2o\$obo6\$15bo\$15b2o\$14bobo!`

Finally, slight reductions to two recent syntheses:
`x = 183, y = 29, rule = B3/S2348bo\$49bo\$47b3o11bo47bo\$59b2o42bo6bo6bo\$51bo8b2o42b2o2b3o5bo\$50bo52b2o11b3o\$50b3o105bobo\$156bobobobo\$77b2ob2ob2o8bobo11b2ob2ob2o42b2ob2o\$3bo73bo3bob2o9b2o6bo4bo3bob2o\$4b2o72b3o13bo5bobo5b3o28bo19bo\$3b2o52b2o38bo3b2o35bobo17bobo17bobo\$56b2o20b3o16b2o9b3o27b2obo16b2obo16b2obo\$bo26bo19bo9bo18bo3bo14bobo8bo3bo24b2o3bo14b2o3bo14b2o3bo\$b2o25bo12bo6bo28bo3bo25bo3bo8bobo14bo3b2o14bo3b2o14bo3b2o\$obo25bo10bobo6bo29b3o27b3o9b2o15bob2o16bob2o16bob2o\$40b2o74b2o3bo16bobo17bobo17bobo\$52b2o24b3o27b3o5bobo5bo14bo19bo\$51b2o21b2obo3bo22b2obo3bo4bo6b2o\$53bo20b2ob2ob2o22b2ob2ob2o11bobo31b2ob2o\$156bobobobo\$158bobo\$47b3o50b3o11b2o\$37b2o10bo2b3o47bo5b3o2b2o\$36bobo9bo3bo48bo6bo6bo\$38bo14bo55bo\$44b2o\$43bobo\$45bo!`

`x = 64, y = 41, rule = B3/S232bo\$obo\$b2o4\$30bo\$29bo8bobo\$29b3o6b2o\$11bo14bo12bo\$12b2o11bo\$11b2o12b3o\$19bo14bo\$20bo11b2o\$18b3o12b2o\$24bo\$22bobo\$23b2o2\$14bo\$13bobo37b2o\$11b3obo35b3o2bo4bo\$10bo4bob2o15bo15bo4b2o4bobo\$11b3obobo5b2o7b2o17b3obo5b2o\$13bobobo5bobo7b2o18bobo\$15bobob2o3bo30bob2o\$14b2obo2bo33b2ob2o\$18b2o\$61b2o\$55bo5bobo\$54b2o5bo\$54bobo\$49b2o\$48bobo\$29b2o19bo\$28b2o\$14b3o13bo\$16bo\$9b3o3bo\$11bo\$10bo!`

Edit: A possible predecessor to one of the remaining 16-cell still lifes:
`x = 54, y = 13, rule = B3/S2324bob3o14bo\$24bo3bo14bo\$24bob3o13bo\$obo3bobo15bobo\$b2o4b2o15bob3o16b3o\$bo5bo37bo\$4b2o43bobo\$3bobo21bo22bo2bo\$5bo4b2o16bo17b2o2bo2bo\$9bo2bo10b7o15bobo4bo\$10bobo15bo16bobo\$9b2obobo12bo16b2obobo\$13b2o33b2o!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

This comes surprisingly close to one of them:
`x = 9, y = 11, rule = B3/S237bo\$6bo\$6b3o2\$2o2b2o\$o2bobo\$bobo\$2b2obo\$4bobo\$4bobo\$5bo!`

Something completely different:
`x = 23, y = 30, rule = B3/S232bobo\$3b2o\$3bo2\$10bobo\$o9b2o\$b2o8bo\$2o4\$7b2o3b2o\$6bo2bobo2bo\$7b2o3bo2bo\$13b2o\$18b2o\$17bo2bo\$b2o15b2o\$2b2o9b3o\$bo11bo\$9b3o2bo\$4b2o\$3bobo14b3o\$5bo14bo\$21bo\$13b2o\$12b2o\$14bo4b2o\$19bobo\$19bo!`

EDIT: A possible link, via a predecessor:
`x = 12, y = 15, rule = B3/S235bo\$3bo2bo\$3bobo\$4b2o\$10bo\$2o8bo\$o2b2o3bo2bo\$b2o2bo2bo2bo\$3bo2bo\$3b3o4b2o2\$3b3o\$3bo2bob3o\$4b2o2bo\$9bo!`

EDIT 2: That SL in 25 gliders and one LWSS:
`x = 136, y = 35, rule = B3/S2334bo\$35b2o\$34b2o2\$65bo\$65bobo24bo\$65b2o26b2o\$82bo9b2o\$37bo24bo20bo\$38bo23bobo16b3o5bo11bo\$36b3o23b2o5bobo18bo10bobo\$40bobo26b2o17b3o10b2o\$40b2o3bo15bo8bo\$41bo3bobo14b2o\$45b2o14b2o\$bo\$2bo4bo61bo34bo24b2o3bo\$3o3bo51b2o8b2o27b2o3b3o10bo13bo2b3o\$6b3o17b2o18b2o10bobo2b2o3bobo21bo4bobobo13bobo12b2o\$26bo19bo12bo3bo26bobo5bo3bo12b2o15bo\$22bo4bo19bo16bo26b2o10bo28b3o\$20bobo5bo14bo4bo11bo4bo33bo4bo30bo\$6bo14b2o4b2o13bobo2b2o10bobo2b2o27b3o2bobo2b2o29b2o\$5b2o36bobo14bobo32bo3bobo9b2o\$5bobo15bo20bo16bo32bo5bo9b2o6b2o\$18b2o3b2o87bo5bobo\$2b3o12bobo2bobo93bo\$4bo14bo\$3bo2\$95b3o\$94bo2bo\$97bo\$97bo\$94bobo!`

EDIT 3: Down slightly to 27 gliders:
`x = 165, y = 29, rule = B3/S2334bo\$35b2o\$34b2o2\$65bo\$65bobo\$65b2o57bo\$122bobo\$37bo24bo29bo30b2o\$38bo23bobo28b2o\$36b3o23b2o5bobo20b2o36bobo\$40bobo26b2o59b2o\$40b2o3bo15bo8bo21bo28bobo7bo\$41bo3bobo14b2o28b2o28b2ob3o\$45b2o14b2o28bobo28bo\$bo\$2bo4bo61bo34bo16bo12bo23b2o3bo\$3o3bo51b2o8b2o27b2o3b3o17bo4b2o3b3o23bo2b3o\$6b3o17b2o18b2o10bobo2b2o3bobo26bobobo18b3o4bobobo12bobo12b2o\$26bo19bo12bo3bo34bo3bo13b2o10bo3bo11b2o15bo\$22bo4bo19bo16bo38bo13b2o14bo11bo15b3o\$20bobo5bo14bo4bo11bo4bo33bo4bo11bo12bo4bo29bo\$6bo14b2o4b2o13bobo2b2o10bobo2b2o32bobo2b2o23bobo2b2o5b2o21b2o\$5b2o36bobo14bobo36bobo27bobo8bobo5bo\$5bobo15bo20bo16bo38bo29bo9bo6b2o\$18b2o3b2o122bobo\$2b3o12bobo2bobo98b2o\$4bo14bo104b2o\$3bo119bo!`

EDIT 4: Suggested SL in 16 gliders:
`x = 86, y = 29, rule = B3/S2362bo\$62bobo\$62b2o2\$58bo\$59b2o\$58b2o3\$60bo\$47bo5bo6bobo\$45bobo3bobo6b2o\$2bo29bo13b2o4b2o15bo\$3b2o28b2obobo23bo4b2o\$2b2o28b2o2b2o24bo5b2o14b2o\$12bo24bo11b2o11bo21bo\$10b2o14b2o22b2o4b2o23b2obo\$11b2o12bo2bo20bo5bo2bo21bo2bo\$4b2o8b2o10bobo27bobo21bobo\$5b2o7bobo8b2obobo24b2obobo18b2obobo\$4bo9bo14b2o28b2o5b2o15b2o\$66bobo\$66bo\$3o\$2bo\$bo\$7bo\$6b2o\$6bobo!`

Also, is it too soon for 17-bitters?
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:Down slightly to 27 gliders...

Reduced to 24 gliders:
`x = 131, y = 31, rule = B3/S2374bo\$74bobo25bo\$74b2o27b2o\$92bo9b2o\$71bo21bo\$71bobo17b3o5bo11bo\$23bo47b2o5bobo19bo10bobo\$24b2o52b2o18b3o10b2o\$23b2o3bo41bo8bo\$29b2o40b2o\$28b2o40b2o\$bo\$2bo4bo70bo35bo\$3o3bo60b2o8b2o28b2o3b3o10bo\$6b3o33b2o23bobo2b2o3bobo22bo4bobobo13bobo\$42bo25bo3bo27bobo5bo3bo12b2o\$43bo29bo27b2o10bo\$29b2o13bo29bo39bo\$6bo23b2o11b2o28b2o28b3o7b2o\$5b2o22bo75bo15b2o\$5bobo96bo15b2o6b2o\$110b3o9bo5bobo\$2b3o105bo17bo\$4bo106bo\$3bo103b2o\$108b2o\$107bo2\$110b2o\$109b2o\$111bo!`

Extrementhusiast wrote:Also, is it too soon for 17-bitters?

I think we might be hitting a point of diminishing returns for our efforts on the 16-bit still lifes. Who knows, maybe some 17-bit syntheses will give insight into how to solve some of the remaining 16-bitters.

To solve the three remaining symmetric 16-bit still lifes, it might be useful to run random symmetric soups and hope that they appear in the ash (although that might be a lot to hope for).

Edit: Is there a known way to add the necessary domino spark here?
`x = 55, y = 13, rule = B3/S232b2o38b2o2b2o\$bobo21b3o13bobo\$o6bo17bo14bo6bo\$b2o3bobo16b3o13b2o3bobo\$2bo2bobo19bo14bo2bob4o\$2bobobo3bo14b3o14bobobob4o\$3bobo3bobo31bob3obob2o\$4bo3bobo33bob2obo2b2o\$7bobo18bo14b2o2b2o4b2o\$8bo2b3o15bo13b2o7b2o\$2b2o7bo11b8o13b2o6bo\$bobo8bo16bo13bo\$3bo24bo!`

Edit 2: A messy idea for one of the remaining 16-bit still lifes:
`x = 78, y = 15, rule = B3/S2324bo2bo9b3o14b3o10b2o\$23b2ob2o28bo\$obo3bobo15bo2bo9bo3bo12b3o14bo\$b2o4b2o15bo2bo10bo2bo12bo15b2o\$bo5bo16bo2bo13bo12b3o13bo\$4b2o33bo\$3bobo33bobo32bo\$5bo4b2o15bo13bo15bo13b2o\$9bo2bo15bo10bo2bo15bo11bob2o\$10bobo9b8o10bobo9b8o10bobo3bo\$9b2ob2o14bo10b2ob2o2bo11bo10b2obo4bo\$9bo2bo14bo11bo2bo2b3o9bo11bo2bo\$10bo2bo26bo2bo26bo2b2ob2o\$11b2o28b2o28b2o\$74b3o!`

Edit 3:
I wrote:Is there a known way to add the necessary domino spark here?

It was easier than I thought. I think the rest of the synthesis is trivial:
`x = 19, y = 22, rule = B3/S232bo13bo\$3bo12bobo\$b3o12b2o3\$5b2o\$5b2o3b2o\$9b2o\$2b2o7bo\$bobo\$o6bo\$b2o3bobo\$2bo2bobo\$2bobobo3bo\$3bobo3bobo\$4bo3bobo\$7bobo\$8bo4bo\$12b2o\$5b2o5bobo\$4b2o\$6bo!`
-Matthias Merzenich
Sokwe
Moderator

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### Re: Synthesising Oscillators

Sokwe wrote:Edit: Is there a known way to add the necessary domino spark here?

One of the miscellaneous 2-glider collisions produces a usable domino spark, and then the reactive bits can be suppressed with a third glider:
`x = 17, y = 28, rule = B3/S233bo\$4bo\$2b3o4\$12bo\$12bobo\$7bo4b2o\$5bobo\$6b2o3\$3b2o\$2bobo\$bo6bo\$2b2o3bobo\$3bo2bobo\$3bobobo3bo\$4bobo3bobo\$5bo3bobo\$8bobo\$9bo2\$14b3o\$b2o11bo\$obo12bo\$2bo!`

EDIT: And here's a version with two gliders added to get rid of all debris:
`x = 25, y = 49, rule = B3/S233bo\$4bo\$2b3o4\$12bo\$12bobo\$7bo4b2o\$5bobo\$6b2o3\$3b2o\$2bobo\$bo6bo\$2b2o3bobo\$3bo2bobo\$3bobobo3bo\$4bobo3bobo\$5bo3bobo\$8bobo\$9bo2\$14b3o\$b2o11bo\$obo12bo\$2bo4\$20b3o\$20bo\$21bo13\$22b3o\$22bo\$23bo!`

EDIT 2: We both added our syntheses at the same time (I did not see the edit until after the previous edit, which was just after I posted). Either way, my synthesis for the spark is two gliders cheaper.
Sphenocorona

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Joined: April 9th, 2013, 11:03 pm

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