Synthesising Oscillators

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
Chris857
Posts: 672
Joined: June 10th, 2020, 11:26 pm

Re: Synthesising Oscillators

Post by Chris857 » September 18th, 2024, 10:57 pm

Original p123 down to 82G.

Code: Select all

x = 365, y = 113, rule = B3/S23
362bo$362bobo$362b2o2$283bo$284b2o76bo$283b2o75b2o$361b2o16$78bo$78bo
bo$78b2o16$40bo259bo$38b3o2bo254b3o2bo$37bo3b3o253bo3b3o$37bob2o31b3o
222bob2o31b3o$38bobob2o32bo221bobob2o32bo$40bo2bo27bo4bo223bo2bo27bo4b
o$40b2o33bo224b2o33bo$72b2o258b2o$72bo259bo$72bo259bo$28b2o42bo215b2o
42bo$28bo259bo$25b2obo256b2obo$23bo2bob2o253bo2bob2o$23b2obo50b2o204b
2obo50b2o$26bo51bo207bo51bo$26b2o50bob2o204b2o50bob2o$75b2obo2bo253b2o
bo2bo$76bob2o256bob2o$76bo259bo$32bo42b2o215bo42b2o$32bo259bo$32bo259b
o4b2o$31b2o258b2o3bobo$29bo33b2o224bo6bo26b2o$28bo4bo27bo2bo223bo4bob
2o24bo2bo$28bo32b2obobo221bo32b2obobo$30b3o31b2obo222b3o31b2obo$61b3o
3bo253b3o3bo$61bo2b3o254bo2b3o$64bo259bo16$285b2o$284bobo$286bo16$2b2o
$3b2o75b2o$2bo76b2o$81bo2$b2o$obo$2bo!
And 116p123 in 58G.

Code: Select all

x = 1297, y = 273, rule = B3/S23
734bo$734bobo$734b2o507bo$1244b2o$655bo587b2o$656b2o76bo550bo$655b2o75b
2o549b2o$733b2o549b2o16$890bo387bobo$404bo485bobo385b2o$82bo314bo5bo486b
2o387bo$81bo315bobo3b3o808bo$65bo15b3o313b2o813bobo$64bo1148b2o61bo$64b
3o1209bobo$1276b2o3$515bobo$516b2o$516bo525bo$548bo494bo$548bobo490b3o
$548b2o588bo$523bobo521bo88b2o$524b2o522b2o87b2o$524bo522b2o$7b2o3b2o
193b2o3b2o24bobo106b2o3b2o143b2o3b2o163b2o3b2o173b2o3b2o223b2o3b2o153b
2o3b2o$7bo4bo194bo4bo25b2o107bo4bo125bo18bo4bo164bo4bo174bo4bo224bo4b
o58bo95bo4bo$8b3obo195b3obo20bobo3bo108b3obo126bo18b3obo165b3obo175b3o
bo225b3obo57bo97b3obo$10bobob2o194bobob2o17b2o115bobob2o121b3o20bobob
2o164bobob2o174bobob2o224bobob2o54b3o97bobob2o$12bo2bo196bo2bo18bo117b
o2bo146bo2bo166bo2bo176bo2bo24b2o200bo2bo24b2o130bo2bo24b2o$12b2o198b
2o138b2o148b2o168b2o30b2o146b2o26bo3b2o196b2o26bo3b2o126b2o26bo3b2o$704b
2o172bobo3b2o222bobo3b2o152bobo3b2o$878b2o228b2o158b2o$702b4o176b4o226b
4o156b4o$702bo2bo176bo2bo226bo2bo112b2o42bo2bo$1229bo$1229bobo$1230b2o
$366bo$365b2o$365b2o$365bo911b2o$1277bobo$1279bo$663bo2bo176bo2bo226b
o2bo156bo2bo42b2o$663b4o176b4o226b4o156b4o$1079b2o158b2o$663b2o178b2o
228b2o3bobo152b2o3bobo$525b2o136b2o30b2o146b2o30b2o196b2o3bo26b2o126b
2o3bo26b2o$234b2o138b2o147bo2bo166bo2bo176bo2bo200b2o24bo2bo130b2o24b
o2bo$234bobobo135bobobo144b2obobo20b3o141b2obobo174b2obobo167b3o54b2o
bobo154b2obobo$215bo20bob3o135bob3o145bob3o18bo146bob3o175bob3o167bo57b
ob3o155bob3o$215b2o19bo4bo134bo4bo144bo4bo18bo145bo4bo174bo4bo165bo58b
o4bo154bo4bo$214bobo18b2o3b2o133b2o3b2o143b2o3b2o163b2o3b2o173b2o3b2o
223b2o3b2o153b2o3b2o$504bo635b2o$503b2o545b2o87b2o$503bobo545b2o88bo$
479b2o569bo$478bobo664b3o$480bo664bo$334b3o175bo633bo$336bo174b2o$335b
o175bobo2$381b2o$380b2o849b2o$382bo847bobo$1232bo61b2o$1294bobo$1294b
o$657b2o570bo$3o653bobo570b2o$2bo655bo569bobo$bo338b2o$341b2o$340bo3$
63b3o$63bo$64bo8$814b2o407b2o$335bo479b2o75b2o330b2o$335b2o477bo76b2o
330bo$334bobo556bo370b2o$1263b2o$813b2o450bo$812bobo$84b2o728bo$83b2o
$85bo69$890bo$890bobo$802bo87b2o$803bo$801b3o$918bo$807bo108b2o$808b2o
107b2o$807b2o2$921bo$920bo$920b3o7$847b2o3b2o$847bo4bo$848b3obo$850bo
bob2o$852bo2bo24b2o$852b2o26bo3b2o$878bobo3b2o$878b2o$882b4o$882bo2bo
10$843bo2bo$843b4o2$843b2o$843b2o30b2o$873bo2bo$873b2obobo$876bob3o$876b
o4bo$875b2o3b2o7$806b3o$808bo$807bo2$920b2o$810b2o107b2o$811b2o108bo$
810bo$925b3o$925bo$926bo18$814b2o$815b2o75b2o$814bo76b2o$893bo2$813b2o
$812bobo$814bo!
A p94 R-pentomino hassler in 45G.

Code: Select all

x = 980, y = 118, rule = B3/S23
853bo$851b2o$689bo162b2o$689bobo$689b2o$845bo$844bo$844b3o$640bobo$641b
2o$641bo2$690bo$690bobo$690b2o2$239bo$240bo594bo$238b3o291bo302bobo$532b
obo300b2o$532b2o$491bobo$492b2o484bo$492bo39bo443b2o$532bobo442b2o$532b
2o4$810bo129bo9bo$810b3o127b3o5b3o$813bo129bo3bo$812b2o128b2o3b2o$31b
o$31bobo$31b2o872bo$903bobo$904b2o$303bo604bo$301b2o536bo69bo$302b2o534b
2o67b3o$838bobo$655b2o148b2o128b2o$654bobo147bobo127bobo$654b2o148b2o
128b2o$281b2o128b2o128b2o138b2o148b2o128b2o$281bo129bo129bo139bo149bo
129bo$279bobo127bobo127bobo137bobo147bobo127bobo$279b2o128b2o128b2o138b
2o148b2o128b2o2$112bo139bo129bo129bo139bo149bo129bo$112b3o137b3o127b3o
25bo101b3o25bo111b3o25bo121b3o25bo101b3o25bo$115bo139bo129bo25b2o102b
o25b2o112bo25b2o122bo25b2o102bo25b2o$114b2o138b2o128b2o23b2o103b2o23b
2o113b2o23b2o123b2o23b2o103b2o23b2o$411bo129bo139bo149bo129bo9$bo99bo
139bo129bo129bo139bo149bo129bo$2b2o98b2o138b2o128b2o128b2o23b2o113b2o
23b2o123b2o23b2o103b2o23b2o$2o98b2o138b2o128b2o128b2o25bo112b2o25bo122b
2o25bo102b2o25bo$2bo99bo139bo129bo129bo25b3o111bo25b3o121bo25b3o101bo
25b3o$530bo139bo149bo129bo2$2b2o98b2o138b2o128b2o128b2o138b2o148b2o128b
2o$bobo30bo66bobo137bobo127bobo127bobo137bobo147bobo127bobo$bo31b2o66b
o139bo129bo129bo139bo149bo129bo$2o31bobo64b2o138b2o128b2o128b2o138b2o
148b2o128b2o$667b2o148b2o128b2o$666bobo147bobo127bobo$666b2o148b2o128b
2o$782bobo$783b2o188b3o$783bo189bo$974bo$977b2o$977bobo$298b3o68b2o606b
o$298bo69bobo$177b3o56b2o61bo70bo$177bo57bobo571b2o123b2o3b2o$100b2o76b
o58bo181bo389bo125bo3bo$101b2o315b2o390b3o119b3o5b3o$100bo209b3o105bo
bo391bo119bo9bo$310bo$311bo2$370b2o137b2o$369bobo136bobo393b2o$371bo138b
o39bo354b2o$549b2o353bo$549bobo$509b2o$508bobo275b2o$510bo274bobo$787b
o3$631b2o$630bobo$632bo2$681bo$680b2o$680bobo$776b3o$778bo$777bo$632b
2o$631bobo$633bo135b2o$770b2o$769bo!
p96 R-pentomino hassler in 35G.

Code: Select all

x = 1049, y = 82, rule = B3/S23
1028bo$1027bo5bo$333bo693b3o2bo$334b2o696b3o$333b2o4$826bo$816bo10bo$
817bo7b3o$815b3o2$272bobo$266bo5b2o773bo$266bobo4bo772bo$266b2o778b3o
5$914bo$484b2o108b2o108b2o148b2o56b2o80b2o$485bo109bo109bo149bo57b2o80b
o$485bobo107bobo107bobo43bo103bobo137bobo$127bo3bo354b2o102b2o4b2o102b
2o4b2o42bo10bo88b2o4b2o132b2o4b2o$128bo3b2o457bo109bo48b3o7bo90bo139b
o$126b3o2b2o458bobo43bo63bobo56b3o88bobo137bobo$592b2o42bo10bo54b2o148b
2o138b2o$636b3o7bo$161b2o78b2o128b2o128b2o108b2o33b3o72b2o148b2o138b2o
$161bo79bo129bo129bo109bo109bo149bo139bo$159bobo77bobo127bobo127bobo107b
obo107bobo147bobo137bobo$159b2o78b2o128b2o5bo122b2o5bo102b2o5bo102b2o
5bo142b2o5bo132b2o5bo$374b3o127b3o107b3o107b3o147b3o137b3o$373bo129bo
109bo109bo149bo139bo$373b2o128b2o108b2o108b2o148b2o138b2o$984b2o$983b
obo$983bo$982b2o$1032b2o$1032bo$1030bobo$1030b2o$231b2o128b2o128b2o108b
2o108b2o148b2o138b2o$232bo129bo129bo109bo109bo149bo139bo$229b3o127b3o
127b3o107b3o107b3o147b3o137b3o$15b2o138b2o72bo5b2o122bo5b2o122bo5b2o102b
o5b2o102bo5b2o142bo5b2o132bo5b2o$14bobo20b3o114bobo77bobo127bobo127bo
bo107bobo107bobo147bobo137bobo$14bo22bo116bo79bo129bo129bo109bo109bo149b
o139bo$2o11b2o23bo114b2o78b2o92b3o33b2o128b2o108b2o108b2o148b2o138b2o
$b2o326bo7b3o$o327bo10bo542b2o138b2o$263b2o2b3o68bo114b3o426bobo137bo
bo$262b2o3bo187bo428bo139bo$264bo3bo185bo56b2o215b2o148b2o4b2o132b2o4b
2o$510b2o216bobo147bobo137bobo$512bo217bo90b2o57bo139bo$730b2o90b2o56b
2o138b2o$821bo5$128b2o837b3o$122bo4bobo839bo$122b2o5bo838bo$121bobo2$
918b3o$908b3o7bo$908bo10bo$909bo$755b2o$754b2o$756bo$641b2o$640b2o339b
3o$642bo340bo2b3o$982bo5bo$987bo!
p36 traffic light (traffic stop) hassler in 23G.

Code: Select all

x = 131, y = 53, rule = B3/S23
o$b2o$2o3$41bo$2bo38bobo$3bo37b2o$b3o2$41bobo$41b2o$42bo3$124bobo$124b
2o$125bo11$100b2o$101bo$101bobo$102b2o10$18b2o2b2o3b2o2b2o65b2o2b2o3b
2o2b2o$17bobob2o5b2obobo63bobob2o5b2obobo$17b3ob2o2bo2b2ob3o63b3ob2o2b
o2b2ob3o$22bo5bo73bo5bo$23bo3bo75bo3bo$24b3o77b3o3$22b2o3b2o73b2o3b2o
20bo$23bo3bo75bo3bo20b2o$20b3o5b3o69b3o5b3o17bobo$20bo9bo69bo9bo!
A p45 honey farm hassler down 1G to 82G.

Code: Select all

x = 33, y = 29, rule = B3/S23
28b2ob2o$10bo16bobob2o$11b2o14bobo$10b2o16b2o$30b2o$28b2o2bo$29bob2o$
29bo$28b2o9$19b3o$19bo$3b2o15bo$3bo22b3o$2obo22bo$o2b3o21bo$b2o3bo$3b
4o$3bo$2obob2o$o2bobobo$b2o3b2o!

User avatar
pifricted
Posts: 968
Joined: May 25th, 2024, 10:26 am
Location: Behind The Great Internet Wall

Re: Synthesising Oscillators

Post by pifricted » September 20th, 2024, 6:39 am

xp3_0g31u06a4z345d in 11G:

Code: Select all

x = 41, y = 38, rule = B3/S23
29bo$27b2o$28b2o2$24bo$8bo13b2o$6bobo14b2o13bo$7b2o29bobo$38b2o$13bo$
14b2o$13b2o3$25bo$obo21bo$b2o12bobo6b3o$bo13b2o$16bo2$6bo$4bobo$5b2o10$
33b2o$33bobo$33bo$27b2o$27bobo$27bo!
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

Chris857
Posts: 672
Joined: June 10th, 2020, 11:26 pm

Re: Synthesising Oscillators

Post by Chris857 » September 20th, 2024, 10:56 pm

hotdogPi wrote:
September 2nd, 2024, 9:45 am
The smallest period with no syntheses in http://catagolue.hatsya.com/census/b3s2 ... esis-costs is 65. Most of the initial "oscillator revolution" was done before the p13 domino sparker was found. It can be combined with a toaster or middleweight volcano to create a p65 LCM. Can this be synthesized?
p65 fumarole on 66P13 in 100G (assuming 68G base still life). Edit: made that a bit more complicated than need be - missed a pretty edgy fumarole synth in my collection which brings the cost down to 90G.

Code: Select all

x = 560, y = 80, rule = B3/S23
482bo$483bo$481b3o3$112bo68bo$113bo66bo310bo$111b3o66b3o306bobo$299bo
190b2o56bo$299bobo244b2o$299b2o239bo6b2o$495bo44bobo$493bobo44b2o$494b
2o4$262bo276bo$263b2o270bo3bobo$161bo100b2o269b2o4b2o$159b2o373b2o$160b
2o394bo$555bo$130bo161bo262b3o$36bo94b2o159bobo$36bobo91b2o137bo22b2o
258bo$36b2o229bobo282bobo$268b2o120bo151bobo7b2o$390bobo149b2o13bobo$
386bo3b2o151bo13b2o$385bo11bo160bo$385b3o8bo$396b3o5$5bo129bo129bo99b
o139bo$3b5o125b5o125b5o95b5o135b5o$2bo5bo123bo5bo123bo5bo93bo5bo133bo
5bo$2bo2b3o124bo2b3o124bo2b3o94bo2b3o134bo2b3o$b2obo126b2obo126b2obo96b
2obo136b2obo$o3b2o124bo3b2o124bo3b2o94bo3b2o134bo3b2o$bobo127bobo127b
obo97bobo7bo129bobo$2ob3o124b2ob3o10b2o112b2ob3o94b2ob3o4b2o128b2ob3o
$6bo129bo9b2o118bo99bo3b2o134bo$2ob3o124b2ob3o124b2ob3o94b2ob3o4bo129b
2ob3o$bobo127bobo127bobo97bobo137bobo$o3b2o124bo3b2o124bo3b2o94bo3b2o
134bo3b2o$b2obo126b2obo126b2obo96b2obo136b2obo11b2o$2bo2b3o124bo2b3o124b
o2b3o8b2o84bo2b3o8b2o124bo2b3o6b2o2b2o$2bo5bo123bo5bo123bo5bo6bo2bo83b
o5bo6bo2bo123bo5bo5bo4bo$3b5o125b5o125b5o7bo2bo84b5o7bo2bo124b5o7bo2b
o$5bo129bo129bo7bobo2bobo84bo7bobo2bobo19b3o102bo7bobo2bobo$273b2o4b2o
92b2o4b2o19bo112b2o4b2o$401bo2$547bo$394b3o149b2o$394bo151bobo$395bo5$
39b2o$39bobo$39bo3$167b2o$166b2o$168bo388b2o$124b2o430b2o$125b2o431bo
$124bo2$116b3o56b3o$118bo56bo$117bo58bo!

Code: Select all

x = 187, y = 88, rule = B3/S23
109bo$110b2o$109b2o2$186bo$184b2o$185b2o22$36bo144bobo$36bobo142b2o$36b
2o144bo9$5bo129bo$3b5o125b5o$2bo5bo123bo5bo$2bo2b3o124bo2b3o$b2obo126b
2obo$o3b2o124bo3b2o36bo$bobo127bobo36b2o$2ob3o124b2ob3o35b2o$6bo129bo
$2ob3o124b2ob3o10b2o$bobo127bobo12b2o$o3b2o124bo3b2o$b2obo126b2obo$2b
o2b3o124bo2b3o$2bo5bo123bo5bo$3b5o125b5o$5bo129bo14$39b2o$39bobo$39bo
120bo$159b2o$159bobo3$134b2o$135b2o$134bo7$176b2o$176bobo$176bo!
208P41 down 2G to 100G.

Code: Select all

x = 335, y = 369, rule = B3/S23
333bo$332bo$332b3o$176bo$174bobo$175b2o38$313bo$311b2o$183bo128b2o$184b
2o$183b2o$188bo$189b2o103bo$188b2o102b2o$293b2o$297bo$297bobo$297b2o11$
275bo$274bo$268bo5b3o$266b2o$267b2o2$220bo$221b2o$220b2o34$318b2o$317b
o2bo$318bobo$317b2o2b2o$316bo2bobo$316b4o2bo$321b2o$224b3o89b2o$226bo
90bo$225bo90bo$316b2o$271bo$270b2o$270bobo$222b2o$221bobo$223bo9$294b
2o$294bobo$294bo3$212bo$212b2o$211bobo83bo$296b2o$296bobo$301b2o$301b
obo$301bo$210b2o$211b2o$210bo6$187b2o$188b2o$187bo$194bo115b2o$194b2o
114bobo$193bobo114bo$331b3o$316b2o13bo$184b2o119b3o8bobo13bo$183bobo119b
o10bo$185bo120bo$168b3o21b3o$170bo23bo$169bo11b3o9bo$183bo$182bo72$313b
o$312bo$312b3o$196bo$194bobo$195b2o38$293bo$291b2o$55bo147bo88b2o$54b
o149b2o$48bo5b3o146b2o$46b2o160bo$47b2o160b2o63bo$208b2o62b2o$o272b2o
$b2o274bo$2o275bobo$277b2o17$248b2o$248bo2b2o$249bobobo$248b2o2bo$249b
o$247bo$247b2o10$98b2o218b2o$97bo2bo216bo2bo$98bobo217bobo$97b2o2b2o214b
2o2b2o$96bo2bobo214bo2bobo$96b4o2bo171b2o40b4o2bo$101b2o171bobo44b2o$
4b3o89b2o176bo41b2o$6bo90bo219bo$5bo90bo219bo$96b2o134bo83b2o$51bo180b
2o$50b2o179bobo43bo$50bobo223b2o$2b2o272bobo$bobo277b2o$3bo277bobo$281b
o$230b2o$231b2o$230bo6$207b2o$208b2o$207bo$214bo75b2o$214b2o74bobo$213b
obo74bo$311b3o$296b2o13bo$204b2o79b3o8bobo13bo$203bobo79bo10bo$205bo80b
o$188b3o21b3o$190bo23bo$189bo11b3o9bo$203bo$202bo!
And p65 fumarole on Beluchenko's p13 in 34G. Seems funny that it was easier to add the p13 to the fumarole than the other way around.

Code: Select all

x = 823, y = 360, rule = B3/S23
671bobo$672b2o$672bo4$677bobo$678b2o$678bo$439bo$440bo90bo$438b3o91b2o
220bo$480bo50b2o36bo183bo$479bo88bo184b3o$479b3o86b3o2$225bo$223b2o174b
o$224b2o52bo78bobo39bobo$191bobo85bo78b2o39b2o$192b2o83b3o78bo$129bo62b
o126bo$128bo189bo$128b3o187b3o$98bo$30bobo63bobo$30b2o65b2o$31bo2$bo33b
o$2bo32bobo690b2o$3o32b2o691bobo$730bo$540b2o176b2o10b2o77b3o$540b2o176b
2o$811bo$466b2o78b2o176b2o85b2o$465bo2bo76bo2bo174bo2bo83bo$289b3o77b
3o87b3o3bo2bo70b3o3bo2bo168b3o3bo2bo86bo$466b2o78b2o99bo2bo73b2o83bo3b
o$651bo162b2o$107b2o98b2o78b2o78b2o88b2o78b2o108bo3bo63b2o88b2o2b3o5b
o$106bo2bo96bo2bo5bo70bo2bo5bo70bo2bo5bo3b2o75bo2bo5bo3b2o65bo2bo5bo3b
2o97b4o62bo2bo5bo3b2o76b2o5bo4b2obo$107b2o98b2o6bo71b2o6bo71b2o6bo3b2o
76b2o6bo3b2o66b2o6bo3b2o164b2o6bo3b2o83bo3bo3bo$111bo99bo3bo75bo3bo75b
o3bo85bo3bo75bo3bo173bo3bo88bobo5bo$110bobo97bobo77bobo77bobo87bobo77b
obo175bobo$110bobo97bobo77bobo77bobo87bobo77bobo175bobo$111bo99bo79bo
79bo89bo79bo112b4o61bo91b2o$28b2o88b2o98b2o78b2o78b2o88b2o78b2o103bo3b
o68b2o83b2o5b2o$26b2o2b2o84b2o2b2o94b2o2b2o74b2o2b2o74b2o2b2o84b2o2b2o
74b2o2b2o105bo66b2o2b2o86b2o2b2o$26bo4bo84bo4bo94bo4bo74bo4bo74bo4bo84b
o4bo74bo4bo101bo2bo67bo4bo86bo4bo$27bo2bo86bo2bo96bo2bo76bo2bo76bo2bo
86bo2bo76bo2bo174bo2bo88bo2bo$25bobo2bobo82bobo2bobo92bobo2bobo72bobo
2bobo72bobo2bobo82bobo2bobo72bobo2bobo170bobo2bobo84bobo2bobo$25b2o4b
2o82b2o4b2o92b2o4b2o72b2o4b2o72b2o4b2o82b2o4b2o72b2o4b2o170b2o4b2o84b
2o4b2o15$684b2o$683bobo$685bo6$691b3o$693bo$692bo3$684bo$684b2o$683bo
bo4$678bo$678b2o$677bobo81$621bobo$622b2o$622bo4$627bobo$628b2o$628bo
3$804bo$803bo$803b3o25$617bo$615bobo$616b2o18$633bobo$633b2o$634bo2$575b
obo$576b2o$576bo16$728b2o$728bobo$730bo$718b2o10b2o$718b2o2$724b2o$723b
o2bo$717b3o3bo2bo$724b2o2$715b2o$714bo2bo5bo3b2o$715b2o6bo3b2o$719bo3b
o$718bobo$718bobo$719bo$726b2o$724b2o2b2o$724bo4bo$725bo2bo$723bobo2b
obo$723b2o4b2o16$580b2o$579bobo$581bo34$612bo$612b2o$611bobo2$730bo$729b
2o$729bobo7$634b2o$633bobo$635bo6$641b3o$643bo$642bo3$634bo$634b2o$633b
obo4$628bo$628b2o$627bobo!

User avatar
pifricted
Posts: 968
Joined: May 25th, 2024, 10:26 am
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Re: Synthesising Oscillators

Post by pifricted » September 21st, 2024, 4:01 am

hotdogPi wrote:
September 2nd, 2024, 9:45 am
Then 95, which is the just-found cribbage+toaster.
Another: Pi-heptomino_hasslers#p95(need Middleweight volcano and Elkies' p5)

And then is P109, P121, P125.

Edit: possible synthesis for P109 Rectifier Loop:

Code: Select all

x = 1047, y = 410, rule = LifeHistory
919.A$919.A.A$919.2A5$673.A241.A$377.A295.A.A237.2A$378.A294.2A239.2A
$376.3A2$387.A.A$387.2A510.A$382.A.A3.A280.A230.A$383.2A282.2A229.3A$
383.A284.2A$902.A.A$902.2A$379.2D240.2C253.2C25.A$375.A3.D2.D238.C2.C
28.A222.C2.C$376.A3.3D239.3C29.A222.3C$374.3A275.3A$363.A14.5D237.5C250.
5C$352.A8.A.A8.A4.D4.D20.2D214.C4.C5.A14.2D9.A.A215.C4.C20.2D$353.A8.
2A6.A.A3.D2.D23.D214.C2.C7.A15.D10.2A215.C2.C23.D$351.3A17.ACD2.D.2D21.
D.D210.2C2.C.2C7.3A11.D.D11.A211.2C2.C.2C21.D.D$372.D.D.D5.D18.2D211.
C.C.C5.D18.2D224.C.C.C5.C18.2D$374.D.D4.D.D232.C.C4.D.D245.C.C4.C.C$367.
A5.2D.2D2.D2.D231.2C.2C2.D2.D244.2C.2C2.C2.C$368.2A9.A.CD240.2D253.2C
$367.2A11.2A30.2D240.2D253.2C$380.A31.D207.2A32.D254.C$390.A19.D.D206.
A.A30.D.D252.C.C$365.2A14.A9.A18.2D209.A30.2D253.2C$366.2A13.A.A5.3A$
365.A15.2A9.2D240.2C253.2C$392.2D240.2C253.2C3$386.3A$388.A$387.A5$400.
A$401.A$399.3AD241.C254.C$401.D.D239.C.C252.C.C$401.D.D239.C.C252.C.C
$402.D241.C254.C$396.3A$398.A$397.A84$251.A$252.A$151.D.D7.D81.D.D4.3A
D255.D.D7.C231.D.D7.C244.D.D7.C$152.2D6.D.D81.2D6.D.D255.2D6.C.C231.2D
6.C.C244.2D6.C.C$152.D7.D.D81.D7.D.D255.D7.C.C231.D7.C.C244.D7.C.C$161.
D91.D265.C241.C254.C$247.3A$249.A$248.A3$266.A$266.A.A$266.2A$261.A$259.
A.A$155.A104.2A$154.A15.2D90.2D264.2C240.2C253.2C$7.2A15.A129.3A13.2D
90.2D264.2C240.2C253.2C$6.A.A13.2A125.A.A$8.A14.2A68.A56.2A2D90.2C264.
2C240.2C253.2C$93.A.A54.AD.D89.C.C263.C.C239.C.C252.C.C$9.A83.2A56.D91.
C265.C241.C254.C$8.2A11.2A127.2D12.A77.2C264.2C240.2C253.2C$8.A.A9.2A
141.A17.2C90.2C264.2C240.2C253.2C$22.A72.2A.2A63.3A14.C2.C2.2C.2C81.C
2.C2.2C.2C255.C2.C2.2C.2C231.C2.C2.2C.2C244.C2.C2.2C.2C$96.A.A59.A.A19.
C.C4.C.C82.C.C4.C.C256.C.C4.C.C232.C.C4.C.C245.C.C4.C.C$96.A.A.A58.2A
2D18.C5.C.C.C61.2C18.C5.C.C.C235.2C18.C5.C.C.C211.2C18.C5.C.C.C224.2C
18.C5.C.C.C$17.2A17.3A44.3A7.2A.A2.2A58.AD.D21.2C.C2.2C60.C.C21.2C.C2.
2C234.C.C21.2C.C2.2C210.C.C21.2C.C2.2C223.C.C21.2C.C2.2C$17.A.A6.2A8.
A48.A7.A2.A63.D23.C2.C64.C23.C2.C238.C23.C2.C214.C23.C2.C227.C23.C2.C
$17.A8.A.A8.A46.A5.A4.A63.2D20.C4.C64.2C20.C4.C238.2C20.C4.C214.2C20.
C4.C227.2C20.C4.C$26.A63.5A86.5C87.5C261.5C237.5C250.5C$13.3A$13.A76.
3A88.3C89.3C263.3C239.3C252.3C$14.A75.A2.A87.C2.C88.C2.C262.C2.C238.C
2.C251.C2.C$92.2A89.2C90.2C264.2C240.2C253.2C3$6.A$5.2A$.A3.A.A$.2A$A
.A2$11.3A$11.A$12.A69$12.A$11.A.A$12.A2$10.5A$9.A4.A20.2A$8.A2.A23.A$
5.A2.A.2A21.A.A$4.A.A.A5.A18.2A$5.A2.A4.A.A$8.2A2.A2.A$13.2A$44.2A$44.
A$42.A.A$29.3A10.2A$29.A2.A$33.A$29.A2.A$29.3A11$34.A15.A$33.A.A15.2A
$33.A.A14.2A$34.A8$52.2A$52.A.A$52.A14$78.A$79.A$77.3A9$80.A$79.2A$79.
A.A15$104.A.A$105.2A$105.A9$106.3A$106.A$107.A14$133.A$131.A.A$132.2A
8$151.A$134.2A14.A.A$133.2A15.A.A$135.A15.A11$154.3A$153.A2.A$152.A$153.
A2.A$142.2A10.3A$141.A.A$141.A$140.2A$171.2A$170.A2.A2.2A$170.A.A4.A2.
A$151.2A18.A5.A.A.A$150.A.A21.2A.A2.A$150.A23.A2.A$149.2A20.A4.A$171.
5A2$173.A$172.A.A$173.A!
Edit 2:nearly, but p545:

Code: Select all

x = 1528, y = 186, rule = LifeHistory
919.A$919.A.A$919.2A5$673.A241.A$377.A295.A.A237.2A$378.A294.2A239.2A
$376.3A2$387.A.A$387.2A510.A$382.A.A3.A280.A230.A$383.2A282.2A229.3A$
383.A284.2A$902.A.A$902.2A$379.2D240.2C253.2C25.A219.2C232.2C$375.A3.
D2.D238.C2.C28.A222.C2.C243.C2.C230.C2.C$376.A3.3D239.3C29.A222.3C244.
3C231.3C$374.3A275.3A$363.A14.5D237.5C250.5C242.5C229.5C$352.A8.A.A8.
A4.D4.D20.2D214.C4.C5.A14.2D9.A.A215.C4.C20.2D219.C4.C20.2C206.C4.C20.
2C$353.A8.2A6.A.A3.D2.D23.D214.C2.C7.A15.D10.2A215.C2.C23.D219.C2.C23.
C206.C2.C23.C$351.3A17.ACD2.D.2D21.D.D210.2C2.C.2C7.3A11.D.D11.A211.2C
2.C.2C21.D.D215.2C2.C.2C21.C.C202.2C2.C.2C21.C.C$372.D.D.D5.D18.2D211.
C.C.C5.D18.2D224.C.C.C5.C18.2D216.C.C.C5.C18.2C203.C.C.C5.C18.2C$374.
D.D4.D.D232.C.C4.D.D245.C.C4.C.C237.C.C4.C.C224.C.C4.C.C$367.A5.2D.2D
2.D2.D231.2C.2C2.D2.D244.2C.2C2.C2.C236.2C.2C2.C2.C223.2C.2C2.C2.C$368.
2A9.A.CD240.2D253.2C245.2C232.2C$367.2A11.2A30.2D240.2D253.2C245.2C232.
2C$380.A31.D207.2A32.D254.C246.C233.C$390.A19.D.D206.A.A30.D.D252.C.C
244.C.C231.C.C$365.2A14.A9.A18.2D209.A30.2D253.2C245.2C232.2C$366.2A13.
A.A5.3A$365.A15.2A9.2D240.2C253.2C245.2C232.2C$392.2D240.2C253.2C245.
2C232.2C3$386.3A$388.A$387.A5$400.A$401.A$399.3AD241.C254.C246.C15.D217.
C15.D$401.D.D239.C.C252.C.C244.C.C15.2D214.C.C15.2D$401.D.D239.C.C252.
C.C244.C.C14.2D215.C.C14.2D$402.D241.C254.C246.C233.C$396.3A$398.A$397.
A4$1171.A$1164.2D4.A227.2D$1164.D.D3.3A225.D.D$1164.D3.2D228.D3.2C$1168.
2D6.A225.2C$1165.3A7.A$1167.A7.3A$1166.A$1172.2D232.2C15.A$1172.2D11.
A220.2C13.2A$1184.A216.A20.2A$1168.3A13.3A214.2A$1170.A11.2D216.A.A13.
2C$1169.A12.2D6.A225.2C$1179.3A7.A$1181.A7.3A$1180.A$1186.2D2.D229.2C
2.D$1186.2D3.D228.2C3.D$1189.3D231.3D$1182.3A$1184.A$1183.A5$1198.A$1192.
D4.A228.D$1191.2D4.3A225.2D$1191.D.D.2D228.D.D.2C$1195.2D6.A225.2C$1192.
3A7.A$1194.A7.3A$1193.A$1199.2D232.2C14.A$1199.2D11.A220.2C13.A$1211.
A236.3A$1195.3A13.3A213.3A$1197.A11.2D218.A13.2C$1196.A12.2D6.A210.A14.
2C$1206.3A7.A$1208.A7.3A$1207.A$1213.2D232.2C$1213.2D.D.D228.2C.D.D$1217.
2D232.2D$1209.3A5.D233.D$1211.A$1210.A5$1225.A$1224.A$1218.3D3.3A225.
3D$1218.D3.2D228.D3.2C$1219.D2.2D6.A222.D2.2C$1219.3A7.A$1221.A7.3A$1220.
A$1226.2D232.2C$1226.2D11.A220.2C13.A.A$1238.A236.2A$1222.3A13.3A213.
2A20.A$1224.A11.2D217.2A13.2C$1223.A12.2D6.A209.A15.2C$1233.3A7.A$1235.
A7.3A$1234.A$1240.2D232.2C$1240.2D3.D228.2C3.D$1243.D.D231.D.D$1236.3A
5.2D232.2D$1238.A$1237.A4$251.A$252.A$151.D.D7.D81.D.D4.3AD255.D.D7.C
231.D.D7.C244.D.D7.C246.C233.C$152.2D6.D.D81.2D6.D.D255.2D6.C.C231.2D
6.C.C244.2D6.C.C228.2D14.C.C215.2D14.C.C$152.D7.D.D81.D7.D.D255.D7.C.
C231.D7.C.C244.D7.C.C227.2D15.C.C214.2D15.C.C$161.D91.D265.C241.C254.
C230.D15.C217.D15.C$247.3A$249.A$248.A3$266.A$266.A.A$266.2A$261.A$259.
A.A$155.A104.2A$154.A15.2D90.2D264.2C240.2C253.2C245.2C232.2C$7.2A15.
A129.3A13.2D90.2D264.2C240.2C253.2C245.2C232.2C$6.A.A13.2A125.A.A$8.A
14.2A68.A56.2A2D90.2C264.2C240.2C253.2C245.2C232.2C$93.A.A54.AD.D89.C
.C263.C.C239.C.C252.C.C244.C.C231.C.C$9.A83.2A56.D91.C265.C241.C254.C
246.C233.C$8.2A11.2A127.2D12.A77.2C264.2C240.2C253.2C245.2C232.2C$8.A
.A9.2A141.A17.2C90.2C264.2C240.2C253.2C245.2C232.2C$22.A72.2A.2A63.3A
14.C2.C2.2C.2C81.C2.C2.2C.2C255.C2.C2.2C.2C231.C2.C2.2C.2C244.C2.C2.2C
.2C236.C2.C2.2C.2C223.C2.C2.2C.2C$96.A.A59.A.A19.C.C4.C.C82.C.C4.C.C256.
C.C4.C.C232.C.C4.C.C245.C.C4.C.C237.C.C4.C.C224.C.C4.C.C$96.A.A.A58.2A
2D18.C5.C.C.C61.2C18.C5.C.C.C235.2C18.C5.C.C.C211.2C18.C5.C.C.C224.2C
18.C5.C.C.C216.2C18.C5.C.C.C203.2C18.C5.C.C.C$17.2A17.3A44.3A7.2A.A2.
2A58.AD.D21.2C.C2.2C60.C.C21.2C.C2.2C234.C.C21.2C.C2.2C210.C.C21.2C.C
2.2C223.C.C21.2C.C2.2C215.C.C21.2C.C2.2C202.C.C21.2C.C2.2C$17.A.A6.2A
8.A48.A7.A2.A63.D23.C2.C64.C23.C2.C238.C23.C2.C214.C23.C2.C227.C23.C2.
C219.C23.C2.C206.C23.C2.C$17.A8.A.A8.A46.A5.A4.A63.2D20.C4.C64.2C20.C
4.C238.2C20.C4.C214.2C20.C4.C227.2C20.C4.C219.2C20.C4.C206.2C20.C4.C$
26.A63.5A86.5C87.5C261.5C237.5C250.5C242.5C229.5C$13.3A$13.A76.3A88.3C
89.3C263.3C239.3C252.3C244.3C231.3C$14.A75.A2.A87.C2.C88.C2.C262.C2.C
238.C2.C251.C2.C243.C2.C230.C2.C$92.2A89.2C90.2C264.2C240.2C253.2C245.
2C232.2C3$6.A$5.2A$.A3.A.A$.2A$A.A2$11.3A$11.A$12.A!
Edit 3:more nearly:

Code: Select all

x = 178, y = 156, rule = LifeHistory
7.2C$7.C2.C$8.3C2$6.5C$5.C4.C20.2C$4.C2.C23.C$2C2.C.2C21.C.C$C.C.C5.C
18.2C$2.C.C4.C.C$.2C.2C2.C2.C$9.2C$40.2C$40.C$38.C.C$38.2C2$20.2C$20.
2C3$99.A$99.A.A$99.2A7$30.C15.D$29.C.C15.2D$29.C.C14.2D$30.C2$83.A$82.
A$82.3A2$88.A$87.A$48.2D37.3A$48.D.D$48.D3.2C$52.2C4$56.2C15.A$56.2C13.
2A$51.A20.2A$51.2A12.4B$50.A.A12.B2CB$65.B2CB$65.4B2$69.4B$69.B2CB.D$
69.B2CB2.D$69.4B3D9$49.3A24.D$51.A23.2D$50.A24.D.D.2C$79.2C3$52.3A$54.
A28.2C14.A$53.A29.2C13.A$98.3A$77.3A$79.A13.2C29.A$78.A14.2C28.A$123.
3A3$97.2C$97.2C.D.D24.A$101.2D23.A$101.D24.3A9$102.3D4B$102.D2.B2CB$103.
D.B2CB$105.4B2$109.4B$109.B2CB$109.B2CB12.A.A$109.4B12.2A$104.2A20.A$
105.2A13.2C$104.A15.2C4$124.2C$124.2C3.D$127.D.D$88.3A37.2D$90.A$89.A
2$93.3A$95.A$94.A2$147.C$130.2D14.C.C$129.2D15.C.C$131.D15.C7$77.2A$76.
A.A$78.A3$156.2C$156.2C2$138.2C$137.C.C$137.C$136.2C$167.2C$166.C2.C2.
2C.2C$166.C.C4.C.C$147.2C18.C5.C.C.C$146.C.C21.2C.C2.2C$146.C23.C2.C$
145.2C20.C4.C$167.5C2$167.3C$167.C2.C$169.2C!
Edit 4:P109 Rectifier Loop in 121G:

Code: Select all

x = 1528, y = 186, rule = B3/S23
919bo$919bobo$919b2o5$673bo241bo$377bo295bobo237b2o$378bo294b2o239b2o
$376b3o2$387bobo$387b2o510bo576bobo$382bobo3bo280bo230bo575b2o$383b2o
282b2o229b3o576bo$383bo284b2o$902bobo$902b2o$621b2o253b2o25bo219b2o232b
2o$375bo245bo2bo28bo222bo2bo243bo2bo230bo2bo$376bo245b3o29bo222b3o244b
3o231b3o$374b3o275b3o$363bo256b5o250b5o242b5o229b5o$352bo8bobo8bo246b
o4bo5bo25bobo215bo4bo241bo4bo20b2o206bo4bo20b2o$353bo8b2o6bobo245bo2b
o7bo26b2o215bo2bo243bo2bo23bo206bo2bo23bo80bo$351b3o17b2o241b2o2bob2o
7b3o25bo211b2o2bob2o239b2o2bob2o21bobo202b2o2bob2o21bobo79bo$614bobob
o250bobobo5bo236bobobo5bo18b2o203bobobo5bo18b2o80b3o$616bobo252bobo4b
obo237bobo4bobo224bobo4bobo$367bo247b2ob2o250b2ob2o2bo2bo236b2ob2o2bo
2bo223b2ob2o2bo2bo105bo$368b2o9bobo496b2o245b2o232b2o105bo$367b2o11b2o
527b2o245b2o232b2o74b3o$380bo239b2o287bo246bo233bo$395bo223bobo285bob
o244bobo231bobo$365b2o14bo12bo226bo285b2o245b2o232b2o$366b2o13bobo10b
3o$365bo15b2o251b2o253b2o245b2o232b2o$634b2o253b2o245b2o232b2o$389b3o
$391bo$390bo1058bo$1449bobo$1449b2o5$400bo$401bo$399b3o242bo254bo246b
o233bo$643bobo252bobo244bobo231bobo$643bobo252bobo244bobo231bobo$644b
o254bo246bo233bo$396b3o$398bo1034bo$397bo1034bo$1432b3o2$1438bo$1171b
o265bo$1170bo266b3o$1170b3o$1402b2o$1176bo225b2o$1165b3o7bo$1167bo7b3o
$1166bo$1406b2o15bo$1185bo220b2o13b2o$1184bo216bo20b2o79bo$1168b3o13b
3o214b2o99bo$1170bo229bobo13b2o84b3o$1169bo20bo225b2o$1179b3o7bo$1181b
o7b3o$1180bo325bo$1420b2o83bo$1420b2o83b3o2$1182b3o$1184bo$1183bo5$1198b
o$1197bo201b3o$1197b3o201bo$1400bo28b2o$1203bo225b2o$1192b3o7bo$1194b
o7b3o$1193bo208b3o$1404bo28b2o14bo$1212bo190bo29b2o13bo$1211bo236b3o$
1195b3o13b3o213b3o$1197bo231bo13b2o29bo$1196bo20bo210bo14b2o28bo$1206b
3o7bo256b3o$1208bo7b3o$1207bo$1447b2o$1447b2o28bo$1476bo$1209b3o264b3o
$1211bo$1210bo5$1225bo$1224bo$1224b3o$1370b3o83b2o$1230bo141bo83b2o$1219b
3o7bo141bo$1221bo7b3o$1220bo$1460b2o$1239bo133b3o84b2o13bobo$1238bo136b
o99b2o$1222b3o13b3o133bo79b2o20bo$1224bo230b2o13b2o$1223bo20bo209bo15b
2o$1233b3o7bo$1235bo7b3o$1234bo$1474b2o$1474b2o2$1236b3o199b3o$1238bo
201bo$1237bo201bo2$1443b3o$1445bo$251bo1192bo$252bo$250b3o266bo241bo254b
o246bo233bo$518bobo239bobo252bobo244bobo231bobo$518bobo239bobo252bobo
244bobo231bobo$519bo241bo254bo246bo233bo$247b3o$249bo$248bo3$266bo$266b
obo1158b2o$266b2o1158bobo$261bo1166bo$259bobo$155bo104b2o$154bo373b2o
240b2o253b2o245b2o232b2o$24bo129b3o371b2o240b2o253b2o245b2o232b2o$5bo
bo14b2o125bobo$6b2o15b2o68bo56b2o92b2o264b2o240b2o253b2o245b2o232b2o$
6bo86bobo54bo92bobo263bobo239bobo252bobo244bobo231bobo$93b2o148bo265b
o241bo254bo246bo233bo$21b2o141bo77b2o264b2o240b2o253b2o245b2o155b3o74b
2o$20b2o141bo17b2o90b2o264b2o240b2o253b2o245b2o126bo105b2o$22bo72b2ob
2o63b3o14bo2bo2b2ob2o81bo2bo2b2ob2o255bo2bo2b2ob2o231bo2bo2b2ob2o244b
o2bo2b2ob2o236bo2bo2b2ob2o117bo105bo2bo2b2ob2o$96bobo59bobo19bobo4bob
o82bobo4bobo256bobo4bobo232bobo4bobo245bobo4bobo237bobo4bobo224bobo4b
obo$96bobobo58b2o20bo5bobobo61b2o18bo5bobobo235b2o18bo5bobobo211b2o18b
o5bobobo224b2o18bo5bobobo216b2o18bo5bobobo120b3o80b2o18bo5bobobo$17b2o
17b3o44b3o7b2obo2b2o58bo24b2obo2b2o60bobo21b2obo2b2o234bobo21b2obo2b2o
210bobo21b2obo2b2o223bobo21b2obo2b2o215bobo21b2obo2b2o122bo79bobo21b2o
bo2b2o$17bobo6b2o8bo48bo7bo2bo87bo2bo64bo23bo2bo238bo23bo2bo214bo23bo
2bo227bo23bo2bo219bo23bo2bo125bo80bo23bo2bo$17bo8bobo8bo46bo5bo4bo85b
o4bo64b2o20bo4bo238b2o20bo4bo214b2o20bo4bo227b2o20bo4bo219b2o20bo4bo206b
2o20bo4bo$26bo63b5o86b5o87b5o261b5o237b5o250b5o242b5o229b5o$13b3o$13b
o76b3o88b3o89b3o263b3o239b3o252b3o244b3o231b3o$14bo75bo2bo87bo2bo88bo
2bo262bo2bo238bo2bo251bo2bo243bo2bo230bo2bo$92b2o89b2o90b2o264b2o240b
2o253b2o245b2o232b2o3$6bo$5b2o1393bo$bo3bobo1392b2o$b2o1396bobo$obo2$
11b3o$11bo$12bo!
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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » September 21st, 2024, 5:40 am

pifricted wrote:
September 21st, 2024, 4:01 am
Edit: possible synthesis for P109 Rectifier Loop...
Edit 2:nearly, but p545...
Edit 3:more nearly...
Edit 4:P109 Rectifier Loop in 121G...
A couple of ideas to mix in here:

1) even with constraints like this, it's seldom necessary to use four gliders to build a constellation of two nearby blocks. The octohash database usually has a workable replacement. This would be 4G instead of 5G per insertion:

Code: Select all

x = 16, y = 22, rule = LifeHistory
2.C$3.C$.3C5$5.2D$5.2D3$2D$2D3$10.2C$9.2C$11.C2$14.2C$13.2C$15.C!
2) The synthesis started out with the implicit idea of constructing all of the gliders in the loop at the same time. The "more nearly" and the completed 121G synth started to abandon that idea, but it's possible to take that several steps further and save more gliders -- 3G instead of 4G.

I.e., if you can insert the last missing glider with a tee reaction, then you can just as well insert all the gliders with the same tee reaction, one after another -- spread out the glider creation in time rather than in space. Or you can have multiple insertion sites with a few gliders each, if you want the loop-filling stage to take less time -- if the insertion reaction works in one location in the loop, it can be made to work pretty much anywhere in the empty central area:

Code: Select all

x = 178, y = 156, rule = LifeHistory
8.A$7.A.A$8.A2$6.5A$5.A4.A20.2A$4.A2.A23.A$.A2.A.2A21.A.A$A.A.A5.A18.
2A$.A2.A4.A.A$4.2A2.A2.A$9.2A$40.2A$40.A$38.A.A$25.3A10.2A$25.A2.A$
29.A$25.A2.A$25.3A11$30.A15.A$29.A.A15.2A$29.A.A14.2A$30.A8$48.2A$48.
A.A$48.A14$74.A$75.A$73.3A3$105.A$103.2A$104.2A$98.A.A$98.2A$99.A$76.
A$75.2A$75.A.A15$100.A.A$101.2A$101.A5$66.A$66.2A$65.A.A2$102.3D$102.
D$103.D14$129.A$127.A.A$128.2A8$147.A$130.2A14.A.A$129.2A15.A.A$131.A
15.A11$150.3A$149.A2.A$148.A$149.A2.A$138.2A10.3A$137.A.A$137.A$136.
2A$167.2A$166.A2.A2.2A$166.A.A4.A2.A$147.2A18.A5.A.A.A$146.A.A21.2A.A
2.A$146.A23.A2.A$145.2A20.A4.A$167.5A2$169.A$168.A.A$169.A!
3) The problem you were having with the two-blocks turner was that that turner's output lane wasn't transparent. There are lots of known turners that are also edge shooters, that wouldn't have that difficulty:

Code: Select all

x = 178, y = 156, rule = LifeHistory
8.A$7.A.A$8.A2$6.5A$5.A4.A20.2A$4.A2.A23.A$.A2.A.2A21.A.A$A.A.A5.A18.
2A$.A2.A4.A.A$4.2A2.A2.A$9.2A$40.2A$40.A$38.A.A$25.3A10.2A$25.A2.A$
29.A$25.A2.A$25.3A11$30.A15.A$29.A.A15.2A$29.A.A14.2A$30.A8$48.2A$48.
A.A$48.A14$74.A$75.A$73.3A9$76.A$75.2A$75.A.A9$84.4B$85.4B$86.4B$87.
4B$88.4B$89.4B$89.4B7.A.A$89.5B7.2A$83.B4.6B7.A$82.3B.8B$82.5B2C6B$
82.4BC2BC6B$82.4BCBC8B$81.6BC8B$82.13B$83.12B$83.14B$82.2C9BC4B4.3D$
81.CBCB.B.4BC.C3B4.D$82.BC2.B.4BC.C3B5.D$87.3B.2BC2B$91.4B12$129.A$
127.A.A$128.2A8$147.A$130.2A14.A.A$129.2A15.A.A$131.A15.A11$150.3A$
149.A2.A$148.A$149.A2.A$138.2A10.3A$137.A.A$137.A$136.2A$167.2A$166.A
2.A2.2A$166.A.A4.A2.A$147.2A18.A5.A.A.A$146.A.A21.2A.A2.A$146.A23.A2.
A$145.2A20.A4.A$167.5A2$169.A$168.A.A$169.A!
That's a lot more expensive than the 3G needed to solve this particular problem, but it's a good trick to have in the toolkit for when you need it.

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pifricted
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Re: Synthesising Oscillators

Post by pifricted » September 21st, 2024, 5:56 am

dvgrn wrote:
September 21st, 2024, 5:40 am
A couple of ideas to mix in here:
Thanks!

Tee reaction can insert a glider rt 36 gen.:

Code: Select all

# [[ STOP 36 ]]
x = 37, y = 29, rule = LifeHistory
35.B$34.3B$33.4B$29.2B.4B$28.7B$27.7B$26.3BA3B$25.4BABA$24.A3B.2A$23.
A3B$23.3A5$19.2C$18.2C2B$19.BC2B$20.4B$21.4B$22.4B$6.3A14.4B$5.3BA15.
3B$4.3BA$3.4B$2.4B$.4B$4B$.2B!
I'm working on it :)
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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » September 21st, 2024, 6:04 am

One more idea -- if you haven't run out of patience with Pointless Optimization yet:

in each of the rectifier ends, there's a stage of the active reaction that's just a plain pi-heptomino. In the current design you're building those pi-heptominoes (if you think of them that way) by first spending two gliders to build an initial target block, then three more gliders to create a loop glider to aim at that block.

But if you just build the pi-heptominoes directly, at the right time during the startup stage, you'll never have to build those initial blocks at all:

Code: Select all

x = 56, y = 58, rule = LifeHistory
53.C$53.C.C$53.2C5$49.C$47.2C$48.2C4$27.C$28.C$26.3C2$36.C.C$36.2C$
37.C3$7.2A$7.A2.A$8.3A2$6.5A$5.A4.A16.C3.2D$4.A2.A20.C2.D$2A2.A.2A18.
3CD.D$A.A.A5.A18.2D$2.A.A4.A.A$.2A.2A2.A2.A$9.2A$26.2C12.2A$27.2C11.A
$26.C11.A.A$25.2D11.2A$25.D.D$27.D$25.D.D$25.2D11$30.A$29.A.A$29.A.A$
11.3C16.A$13.C$12.C!
... I guess that only saves anything for the northwest rectifier, where you're using four gliders to build that last eater anyway because the 2G recipe conflicts with the other rectifier. But I only stopped looking at pi recipes when I found one that would work if that last eater construction was delayed. It looked like none of the three two-glider pi recipes happened to fit, but there are a lot more 3-glider pi recipes to look through -- there's probably a lucky one in there somewhere that works with all of the catalysts already in place:

Code: Select all

x = 16070, y = 506, rule = LifeHistory
2.3C132.C61.C63.C59.C63.C63.C67.C59.C63.C69.C61.C61.C63.C2.3C58.C68.C
63.C62.C64.C63.C63.C58.C63.C63.C63.C64.C63.C63.C63.C67.C59.C.C61.C.C
2.C58.C.C61.C.C61.C.C61.C.C65.C.C57.C.C61.C.C59.C61.C.C62.C62.C65.C
65.C63.C64.C60.C.C61.C67.C57.C63.C64.C5.C57.C69.C57.C63.C63.C66.C60.C
76.C53.C63.C63.C63.C63.C63.C63.C63.C63.C63.C63.C63.C63.C60.C66.C63.C
63.C61.C61.C.C63.C69.C57.C63.C74.C54.C59.C4.C63.C68.C61.C64.C60.C63.C
57.C64.C75.C51.C63.C63.C65.C63.C64.C60.C63.C63.C64.C66.C64.C58.C62.C
69.C63.C62.C65.C69.C51.C63.C70.C62.C.C62.C62.C.C55.C63.C63.C63.C73.C
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C61.C.C80.C.C43.C84.C56.C48.C.C77.C.C46.C62.C79.C63.C63.C66.C.C59.C
63.C63.C69.C44.C59.C80.C.C45.C64.C79.C63.C63.C46.C63.C$.C2.C130.2C60.
2C65.C59.C63.C63.C2.2C63.C59.C4.C58.C64.C2.C63.C61.C63.C.C61.C68.C63.
C62.C64.C63.C63.C58.C63.C63.C63.C64.C63.C63.C63.C59.C7.C58.2C62.2C3.C
.C56.2C62.2C62.2C62.2C66.2C58.2C62.2C58.C.C62.2C63.C62.2C61.C.C66.C
61.C63.2C62.2C62.C67.C57.2C62.2C4.C58.C5.C57.C68.C.C56.C63.C63.C66.C
2.2C56.C74.C55.C63.C63.C63.C63.C63.C3.C59.C63.C63.C63.C63.C63.C63.C3.
3C54.C5.C60.C63.C63.C61.C2.C58.2C64.C67.C59.C63.C71.2C56.2C58.4C63.C
69.C.C57.2C65.C.C54.C4.2C55.C5.C.C56.2C63.C72.2C53.C63.C.3C58.C.C64.C
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C4.C58.C70.C61.2C62.C57.C5.2C57.C63.C6.C56.C63.C70.2C53.C.C77.C50.C
62.C61.C.C61.C.C80.C57.C68.C47.C81.C45.C74.2C51.C63.C62.2C61.C.C62.2C
80.2C45.C84.C54.C50.2C77.2C48.C62.2C78.C63.C63.C65.2C61.C63.C63.C69.C
44.C59.2C78.2C47.C61.C.C80.C63.C61.C48.C63.C$.C3.C125.C4.2C60.2C62.3C
57.3C61.3C61.3C.2C62.3C57.3C2.2C57.3C65.C.3C59.3C59.3C61.3C2.C58.3C
66.3C61.3C60.3C55.C6.3C61.3C61.3C56.3C61.3C61.3C61.3C62.3C61.3C61.3C
61.3C60.C4.3C59.C63.C3.2C58.C63.C63.C63.C67.C59.C63.C59.2C62.C62.3C
61.2C4.C58.2C64.3C2.C58.3C62.2C61.C61.3C65.3C2.C53.2C62.2C6.C55.3C3.
3C2.C52.3C2.C65.2C55.3C2.C58.3C2.C5.C52.3C2.C61.3C2.C.C53.3C5.C59.C8.
3C51.3C.2C58.3C61.3C61.3C61.3C61.3C.2C58.3C61.3C61.3C61.3C61.3C61.3C
61.3C3.C54.3C6.C57.3C4.C.C54.3C61.3C59.3C2.2C57.C63.3C3.2C62.3C55.3C
61.3C72.2C54.2C58.2C2.2C62.3C67.2C59.2C64.2C53.C.C3.2C57.2C3.2C56.2C
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62.2C57.3C2.C58.2C67.3C61.3C61.2C63.3C67.3C49.3C3.2C56.3C62.C5.3C62.C
62.3C56.C5.C55.3C61.3C7.C53.3C61.3C71.2C53.2C75.3C48.3C60.3C62.2C62.
2C80.3C53.3C66.3C45.3C79.3C43.3C75.2C48.3C61.3C62.C63.2C62.C82.C43.3C
82.3C54.3C48.C79.C46.3C61.2C77.3C61.3C61.3C66.C59.3C61.3C61.3C67.3C
42.3C58.2C80.C45.3C62.2C78.3C61.3C61.3C44.3C61.3C$C131.C323.C58.C68.
2C62.C.C57.3C508.2C326.C374.3C62.C63.C63.C63.C63.C63.C67.C59.C63.C
261.C128.C.C319.C.C121.3C2.C63.C.C55.C.C125.C.C61.C.C.2C58.C.C64.C64.
C59.C65.C.C189.3C64.2C60.2C448.C60.3C64.2C185.C.C126.2C58.C68.3C118.C
64.2C382.2C61.2C323.C702.C123.C325.C.C121.C189.3C133.3C1156.C$.2C3.2C
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C63.C63.C63.C67.C59.C63.C66.C.C61.C.C125.3C2.C125.2C183.C136.2C127.C.
C61.2C56.2C126.2C62.2C3.2C57.2C128.3C57.3C65.C63.C129.C64.C.C638.C
247.C68.C58.C67.C60.C60.2C61.C.C5.C59.C325.C121.C708.C250.3C122.2C
445.3C1482.2C$3.C5.C186.C62.2C253.3C132.C123.C61.C5.C.C55.C63.C4.2C
56.3C3.C57.2C4.C62.C64.C63.C63.C58.C63.C63.C7.2C54.C63.C4.2C57.C63.C
6.C56.C67.C58.3C6.2C53.3C61.3C61.3C61.3C61.3C65.3C57.3C61.3C66.2C62.
2C59.C71.C.C309.C62.C201.2C380.C54.2C190.2C62.2C3.2C57.2C4.2C56.2C6.C
55.2C8.C53.2C62.2C6.2C54.2C3.2C57.2C3.3C56.2C62.2C62.2C62.2C126.2C62.
2C62.2C62.2C66.C59.2C63.3C60.2C6.C55.2C2.C.C57.2C64.C5.2C58.2C324.2C
56.C63.2C187.2C62.2C62.C65.2C188.2C62.2C71.C122.2C122.2C71.C53.2C4.2C
62.2C127.2C68.2C50.2C133.2C375.2C62.2C203.2C49.2C61.2C265.2C67.2C46.
2C80.2C44.2C126.2C62.2C12.2C389.2C376.2C62.2C62.2C127.2C62.2C62.2C68.
2C43.2C332.2C62.2C109.2C62.2C$4.C4.C184.3C62.C3.3C57.3C61.3C62.3C65.
3C57.3C61.3C60.C65.2C60.2C4.C57.2C62.2C3.C.C57.C3.2C57.2C3.2C61.2C63.
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2C65.2C122.C66.3C63.2C315.C63.C60.C70.2C181.C63.C62.3C2.C60.C126.C
455.C.C53.2C190.2C62.2C3.2C57.2C2.2C58.2C62.2C62.2C62.2C4.2C56.2C.C.C
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2C126.2C62.2C.2C129.C.C57.C.C58.C63.C63.C63.C72.C.C56.2C61.C.C188.2C
62.2C62.C65.2C188.2C62.2C68.3C123.2C122.2C71.C59.2C62.2C127.2C54.3C
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2C80.2C44.2C126.2C62.2C403.2C376.2C62.2C62.2C127.2C62.2C62.2C68.2C43.
2C332.2C62.2C109.2C62.2C$3.C5.C255.C59.C63.C4.C59.C67.C59.C63.C60.2C
63.C.C59.C.C61.C.C61.C.C3.C58.C3.C.C56.C4.C.C60.C.C62.C.C56.3C2.C.C
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197.3C61.3C53.3C77.3C45.3C191.C66.C57.3C62.C63.C5.C57.C193.C60.C.C4.C
62.C63.C57.3C62.C6.C57.C70.2C53.2C72.2C64.2C50.2C127.2C64.C65.3C56.C
8.2C53.2C4.C57.2C65.C63.C61.2C6.2C53.2C64.C62.2C.2C58.2C62.2C62.2C71.
2C245.3C4.2C68.2C53.2C58.3C61.3C61.3C64.3C58.3C61.3C63.C61.3C2.2C63.
3C61.2C56.3C75.3C56.C57.3C58.3C61.3C65.3C61.3C61.3C63.3C56.C126.3C61.
3C61.3C61.3C65.2C129.3C61.3C61.3C61.3C54.3C67.C57.3C4.2C55.3C61.3C61.
3C5.2C127.3C$570.2C58.2C63.2C65.2C62.2C58.2C62.2C62.2C62.2C62.C7.2C
54.C.C5.2C62.2C55.2C62.2C65.2C62.2C59.2C65.2C2.C55.2C9.2C55.2C69.2C
62.2C62.2C56.2C61.2C61.2C62.2C71.2C54.2C61.2C254.2C62.2C61.2C127.3C
125.2C62.2C59.3C133.2C62.2C57.2C.C60.2C60.C129.2C8.C52.2C63.2C62.2C.
3C186.2C62.2C62.2C62.2C61.C65.C64.C59.C64.C66.3C61.3C56.3C61.3C67.C
63.C59.C63.C68.C63.C58.C2.2C59.C63.C321.2C58.C.C189.C.C61.2C71.2C117.
C72.C.C117.2C65.C.C710.C66.C64.C65.C50.C137.C65.C64.C68.C61.C65.C63.C
42.C144.C63.3C63.C63.C69.C38.C81.3C62.3C129.C106.C128.C135.3C63.3C52.
C59.C5.C191.C62.C58.C.C84.C38.C16.C48.C191.C63.C63.C199.C63.C55.C79.C
47.C61.C130.C63.3C122.2C62.2C4.2C56.2C63.C129.C65.2C60.3C62.2C122.2C
4.2C56.2C70.C.C52.C.C71.C.C63.C.C49.C.C72.2C52.C.C64.C132.C.C52.C.C
61.C.C62.3C61.3C60.C.C6.C.C52.C.C64.C60.C.C.C.C57.C.C61.C.C3.3C55.C.C
61.3C6.C.C122.2C63.2C62.C.C67.C.C52.C.C444.C65.C.C127.2C190.2C127.3C
62.C312.C72.C313.2C445.2C66.2C192.C59.C$123.C63.C63.C63.C63.C63.C63.C
61.2C123.2C511.2C125.2C62.2C190.2C71.C55.2C253.3C61.2C63.2C65.2C62.2C
188.C.C68.C57.C126.C.C61.C64.2C253.C63.C196.C63.C58.C4.C58.C63.C127.C
9.2C53.2C61.C63.C62.C63.C64.C5.2C56.C63.C63.C62.C67.C62.C61.C62.C322.
3C62.C58.3C62.C68.C63.C58.C63.C63.C322.C.C58.2C254.2C75.C186.C118.C.C
134.C55.2C585.C66.C64.C65.C50.C137.C65.C64.C68.C61.C65.C63.C42.C79.3C
62.C66.C62.C63.C69.C38.C84.C64.C128.C39.3C64.C128.C59.C196.C59.C196.
3C61.C58.C2.3C83.C37.2C14.C48.C3.3C67.C71.C45.C63.C63.C199.C63.C55.C
79.C47.C62.2C62.C64.3C187.C.C61.C.C3.C.C55.C.C62.2C63.C63.3C65.C.C
121.C2.C.C120.C.C4.C.C55.C.C69.C54.C73.C65.C51.C74.C.C51.C64.3C132.C
54.C63.C200.C54.C64.3C62.C.C59.C63.C5.C57.C5.2C58.C6.C66.C57.C.C62.C.
C61.C69.C54.C444.3C191.C196.2C126.C63.2C246.2C62.3C70.2C310.C451.2C
128.C.C186.2C$121.2C62.2C62.2C62.2C62.2C62.2C62.2C128.C195.C59.C63.C
63.C63.C123.C62.3C445.C257.C62.2C61.C.C390.2C56.2C62.C190.C69.2C694.
3C137.C.C51.C191.C63.C68.2C314.3C122.3C1278.C64.2C188.C76.2C53.C253.C
135.2C52.C.C125.3C63.3C1295.C128.C320.C64.C62.3C106.C130.3C56.2C63.C
190.2C470.3C36.C.C67.C70.C71.C243.C438.C.C62.2C190.C198.C56.C.C61.2C
253.C.C63.C133.C386.C184.2C447.3C255.C62.C.C56.C75.C56.C64.C828.C61.C
.C127.C132.C62.C.C246.2C135.2C310.C446.C133.2C188.2C$122.2C62.2C62.2C
62.2C62.2C62.2C62.2C66.C58.2C64.C129.2C58.2C62.2C62.2C62.2C189.C66.C
63.C191.C379.C62.C65.C389.C.C55.C.C62.2C68.2C190.2C58.2C61.C189.2C
764.3C61.3C70.C131.3C437.3C61.3C56.3C61.3C317.3C61.2C131.3C62.2C442.C
.C61.3C200.C.C53.2C386.2C55.C125.C67.C59.C130.2C1102.C580.C105.C61.3C
69.C55.C.C61.3C76.3C63.3C44.C.C580.C67.3C69.3C178.2C64.C62.C247.2C
189.C.C130.C59.2C196.2C120.C.C194.C58.2C62.2C132.2C571.C.C190.2C57.2C
62.2C131.C320.C132.3C243.2C62.C640.3C61.2C129.C442.C133.C62.3C57.C65.
2C67.3C53.3C447.C133.C184.C$572.2C60.2C61.2C131.2C58.2C62.2C62.2C62.
2C187.C65.2C62.2C190.2C1021.C.C67.2C190.C61.2C61.C189.2C60.C389.C581.
C441.C63.C58.C63.C65.3C57.3C61.3C65.3C59.C62.2C130.C63.2C58.2C383.C
63.C257.2C392.C121.C56.C65.C61.2C127.C.C72.C64.C114.2C62.C62.3C1300.C
170.C68.C58.C142.C65.C46.C126.C134.3C636.2C63.3C63.C245.C.C256.C65.2C
57.C.C196.C.C186.C128.2C122.C.C131.C.C118.2C383.2C65.C191.2C58.C.C61.
C.C131.C57.2C133.C504.C.C61.2C705.C127.3C315.2C260.C61.C58.2C64.C.C
67.C448.2C53.3C319.C$573.2C123.2C638.2C62.2C63.2C125.2C1092.C250.C61.
3C188.C63.C319.2C68.C581.C180.3C58.2C62.3C65.2C64.C63.C58.C63.C68.C
59.C63.C65.C60.C62.C133.C64.C56.2C62.3C384.C261.C182.3C202.2C120.2C
183.2C130.C73.C64.C112.C.C62.2C63.C62.C1407.C270.C65.C175.C62.C72.C
207.3C428.C126.3C247.C256.2C63.C.C444.2C128.C.C376.C.C125.3C63.2C189.
C.C258.C57.C63.C191.C.C131.2C506.C61.C.C894.C254.C.C62.2C194.3C62.C
57.C.C65.C68.C447.C.C245.2C125.3C$1466.2C62.2C1722.3C320.2C65.3C313.
2C62.2C385.C59.2C63.C64.2C320.C59.C63.C67.C380.C61.C647.2C184.C202.C.
C119.C.C187.C198.3C62.3C114.C61.C.C62.C62.2C78.C48.C62.3C1406.3C316.
3C63.C70.C55.C154.C175.3C69.3C811.C.C510.C.C506.C129.C63.C.C188.C574.
C133.C.C257.2C1205.2C255.C61.C.C586.C243.2C70.C247.C.C$1468.C61.C.C
2043.C384.2C62.2C383.C59.C64.C67.C955.C646.C.C182.C514.2C570.C.C78.C
47.2C63.C62.C63.C1281.C380.3C126.2C152.C178.C71.C242.3C117.C1599.C64.
C1159.C.C1203.C.C319.C584.2C52.C62.2C126.C.C318.C191.2C$1530.C1472.2C
955.C63.C2881.C.C648.3C46.C.C62.C63.2C62.2C61.2C63.2C62.C63.2C1023.C
509.C.C330.C71.C245.C61.3C53.2C62.2C1725.3C1031.C2113.2C51.2C62.2C62.
2C63.C509.C.C$3004.2C250.2C388.2C3459.3C62.3C559.C.C61.C.C62.2C61.C.C
62.2C62.C.C1341.3C838.C64.C52.C.C61.C.C1727.C1483.2C1656.C55.C.C61.C
63.C.C575.C$3003.C253.2C388.2C3460.C64.C687.C65.C61.C.C62.C1345.C61.
3C838.C119.C1726.C1484.C.C1656.C184.C$3256.C389.C3461.C64.C48.2C334.
3C1839.C64.C4170.C1656.3C$5634.2C1587.2C335.C1903.C1030.C3205.2C$
5633.2C1587.C336.C750.3C125.3C2053.2C127.2C2944.3C128.2C48.2C830.3C$
5635.C2676.C61.3C63.C2053.C.C126.C.C2943.C132.C48.2C831.C$8311.C64.C
62.C318.2C1863.C2946.C179.C832.C$8182.3C190.C383.2C$8184.C573.C$8183.
C$13831.2C$13830.2C63.3C$13832.C62.C$13896.C!
#C [[ MAXGRIDSIZE 14 ]]
[Bother -- someone really ought to add a post-search filter on the octohash scripts, to test each candidate against a pattern like this and only display the ones that work. I've been intending to find time to do that for years now; maybe it's time for someone else to just go ahead and take care of that little project.]

User avatar
pifricted
Posts: 968
Joined: May 25th, 2024, 10:26 am
Location: Behind The Great Internet Wall

Re: Synthesising Oscillators

Post by pifricted » September 21st, 2024, 6:43 am

in 76G:

Code: Select all

x = 1294, y = 186, rule = B3/S23
919bo$919bobo$919b2o5$673bo241bo$377bo295bobo237b2o$378bo294b2o239b2o
$376b3o2$387bobo$387b2o510bo356bo$382bobo3bo280bo230bo353b2o$383b2o282b
2o229b3o354b2o$383bo284b2o$902bobo$902b2o$621b2o253b2o25bo219b2o$375b
o245bo2bo28bo222bo2bo243bo2bo$376bo245b3o29bo222b3o244b3o$374b3o275b3o
$363bo256b5o250b5o242b5o$352bo8bobo8bo246bo4bo5bo25bobo215bo4bo241bo4b
o20b2o$353bo8b2o6bobo245bo2bo7bo26b2o215bo2bo243bo2bo23bo$351b3o17b2o
241b2o2bob2o7b3o25bo211b2o2bob2o239b2o2bob2o21bobo$614bobobo250bobobo
5bo236bobobo5bo18b2o$616bobo252bobo4bobo237bobo4bobo$367bo247b2ob2o250b
2ob2o2bo2bo236b2ob2o2bo2bo$368b2o9bobo496b2o245b2o$367b2o11b2o527b2o245b
2o$380bo239b2o287bo246bo$395bo223bobo285bobo244bobo$365b2o14bo12bo226b
o285b2o245b2o$366b2o13bobo10b3o$365bo15b2o251b2o253b2o245b2o$634b2o253b
2o245b2o$389b3o$391bo$390bo837bo$1227bo$1227b3o5$400bo$401bo$399b3o242b
o254bo246bo$643bobo252bobo244bobo$643bobo252bobo244bobo$644bo254bo246b
o30bobo$396b3o778b2o107bobo$398bo774bo4bo107b2o$397bo773b2o109bo4bo$1172b
2o106b2o$1281b2o11$1200bobo$1152b2o46b2o$1153b2o46bo$1152bo7$1205bo$1204b
o$1204b3o52bo$1182bo16bo59bobo$1182b2o15bobo52bo4b2o$1181bobo15b2o52b
o$1176b2o75b3o$1177b2o$1176bo9$1229bo$1179b2o48bobo$1178bobo48b2o$1180b
o9$1233bo$1231b2o$1154b3o75b2o$1156bo52b2o15bobo$1149b2o4bo52bobo15b2o
$1148bobo59bo16bo$1150bo52b3o$1205bo$1204bo7$1257bo$1208bo46b2o$1208b
2o46b2o$1207bobo11$1127b2o$1128b2o106b2o$1122bo4bo109b2o$251bo870b2o107b
o4bo$252bo868bobo107b2o$250b3o266bo241bo254bo213bobo30bo$518bobo239bo
bo252bobo244bobo$518bobo239bobo252bobo244bobo$519bo241bo254bo246bo$247b
3o$249bo$248bo3$266bo$266bobo911b3o$266b2o914bo$261bo919bo$259bobo$155b
o104b2o$154bo373b2o240b2o253b2o245b2o$24bo129b3o371b2o240b2o253b2o245b
2o$5bobo14b2o125bobo$6b2o15b2o68bo56b2o92b2o264b2o240b2o253b2o245b2o$
6bo86bobo54bo92bobo263bobo239bobo252bobo244bobo$93b2o148bo265bo241bo254b
o246bo$21b2o141bo77b2o264b2o240b2o253b2o245b2o$20b2o141bo17b2o90b2o264b
2o240b2o253b2o245b2o$22bo72b2ob2o63b3o14bo2bo2b2ob2o81bo2bo2b2ob2o255b
o2bo2b2ob2o231bo2bo2b2ob2o244bo2bo2b2ob2o236bo2bo2b2ob2o$96bobo59bobo
19bobo4bobo82bobo4bobo256bobo4bobo232bobo4bobo245bobo4bobo237bobo4bob
o$96bobobo58b2o20bo5bobobo61b2o18bo5bobobo235b2o18bo5bobobo211b2o18bo
5bobobo224b2o18bo5bobobo216b2o18bo5bobobo$17b2o17b3o44b3o7b2obo2b2o58b
o24b2obo2b2o60bobo21b2obo2b2o234bobo21b2obo2b2o210bobo21b2obo2b2o223b
obo21b2obo2b2o215bobo21b2obo2b2o$17bobo6b2o8bo48bo7bo2bo87bo2bo64bo23b
o2bo238bo23bo2bo214bo23bo2bo227bo23bo2bo219bo23bo2bo$17bo8bobo8bo46bo
5bo4bo85bo4bo64b2o20bo4bo238b2o20bo4bo214b2o20bo4bo227b2o20bo4bo219b2o
20bo4bo$26bo63b5o86b5o87b5o261b5o237b5o250b5o242b5o$13b3o$13bo76b3o88b
3o89b3o263b3o239b3o252b3o244b3o$14bo75bo2bo87bo2bo88bo2bo262bo2bo238b
o2bo251bo2bo243bo2bo$92b2o89b2o90b2o264b2o240b2o253b2o245b2o3$6bo$5b2o
1146b2o$bo3bobo1146b2o$b2o1150bo$obo2$11b3o$11bo$12bo!
dvgrn wrote:
September 21st, 2024, 6:04 am
One more idea -- if you haven't run out of patience with Pointless Optimization yet:

in each of the rectifier ends, there's a stage of the active reaction that's just a plain pi-heptomino. In the current design you're building those pi-heptominoes (if you think of them that way) by first spending two gliders to build an initial target block, then three more gliders to create a loop glider to aim at that block.

But if you just build the pi-heptominoes directly, at the right time during the startup stage, you'll never have to build those initial blocks at all:

Code: Select all

x = 56, y = 58, rule = LifeHistory
53.C$53.C.C$53.2C5$49.C$47.2C$48.2C4$27.C$28.C$26.3C2$36.C.C$36.2C$
37.C3$7.2A$7.A2.A$8.3A2$6.5A$5.A4.A16.C3.2D$4.A2.A20.C2.D$2A2.A.2A18.
3CD.D$A.A.A5.A18.2D$2.A.A4.A.A$.2A.2A2.A2.A$9.2A$26.2C12.2A$27.2C11.A
$26.C11.A.A$25.2D11.2A$25.D.D$27.D$25.D.D$25.2D11$30.A$29.A.A$29.A.A$
11.3C16.A$13.C$12.C!
... I guess that only saves anything for the northwest rectifier, where you're using four gliders to build that last eater anyway because the 2G recipe conflicts with the other rectifier.
Sometimes we have to do that, e.g.this p137.
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

User avatar
dvgrn
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Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Synthesising Oscillators

Post by dvgrn » September 21st, 2024, 7:10 am

pifricted wrote:
September 21st, 2024, 6:43 am
in 76G...

Sometimes we have to do that, e.g.this p137.
Okay, so 72G:

Code: Select all

x = 1124, y = 207, rule = B3/S23
1017bo$1016bo$1016b3o6$1011bobo$1011b2o$1012bo4$956bo$954bobo$955b2o$
1001bo$999b2o$1000b2o9$956bo$391bo562bobo$392bo562b2o$390b3o2$401bobo$
401b2o683bo$396bobo3bo681b2o$397b2o686b2o$397bo2$691bobo$673b2o17b2o
259b2o$389bo283bo2bo15bo260bo2bo$390bo283b3o277b3o$388b3o330bo$377bo
294b5o44bobo228b5o$366bo8bobo8bo284bo4bo5bo38b2o228bo4bo$367bo8b2o6bob
o283bo2bo7bo268bo2bo$365b3o17b2o279b2o2bob2o7b3o262b2o2bob2o$666bobobo
275bobobo5bo$668bobo277bobo4bobo$381bo285b2ob2o275b2ob2o2bo2bo$382b2o
9bobo559b2o$381b2o11b2o590b2o$394bo277b2o312bo$671bobo310bobo$379b2o
14bo277bo310b2o$380b2o13bobo$379bo15b2o4$1058bo$1057bo$1057b3o5$414bo$
415bo539bo$413b3o280bo258b2o19bo$695bobo256bobo18bobo$695bobo277bobo$
685b3o8bo279bo$410b3o274bo428bobo$412bo273bo429b2o$411bo700bo4bo$1110b
2o$1111b2o11$1030bobo$940b2o88b2o$939bobo89bo$941bo7$1035bo$1034bo$
1034b3o52bo$1012bo16bo59bobo$1012b2o15bobo52bo4b2o$1011bobo15b2o52bo$
1006b2o75b3o$1007b2o$1006bo9$1059bo$1009b2o48bobo$1008bobo48b2o$1010bo
9$1063bo$1061b2o$984b3o75b2o$986bo52b2o15bobo$979b2o4bo52bobo15b2o$
978bobo59bo16bo$980bo52b3o$1035bo$1034bo7$1087bo$1038bo46b2o$1038b2o
46b2o$1037bobo11$957b2o$958b2o106b2o$952bo4bo109b2o$251bo700b2o107bo4b
o$252bo698bobo107b2o$250b3o280bo279bo246bobo30bo$532bobo277bobo277bobo
$532bobo277bobo277bobo$533bo279bo279bo$247b3o$249bo$248bo3$266bo$266bo
bo741b3o$266b2o744bo$261bo749bo$259bobo$155bo104b2o$154bo387b2o278b2o
278b2o$24bo129b3o385b2o278b2o278b2o$5bobo14b2o125bobo$6b2o15b2o68bo56b
2o92b2o278b2o278b2o278b2o$6bo86bobo54bo92bobo277bobo277bobo277bobo$93b
2o148bo279bo279bo279bo$21b2o141bo77b2o278b2o278b2o278b2o$20b2o141bo17b
2o90b2o278b2o278b2o278b2o$22bo72b2ob2o63b3o14bo2bo2b2ob2o81bo2bo2b2ob
2o269bo2bo2b2ob2o269bo2bo2b2ob2o269bo2bo2b2ob2o$96bobo59bobo19bobo4bob
o82bobo4bobo270bobo4bobo270bobo4bobo270bobo4bobo$96bobobo58b2o20bo5bob
obo61b2o18bo5bobobo249b2o18bo5bobobo249b2o18bo5bobobo249b2o18bo5bobobo
$17b2o17b3o44b3o7b2obo2b2o58bo24b2obo2b2o60bobo21b2obo2b2o248bobo21b2o
bo2b2o248bobo21b2obo2b2o248bobo21b2obo2b2o$17bobo6b2o8bo48bo7bo2bo87bo
2bo64bo23bo2bo252bo23bo2bo252bo23bo2bo252bo23bo2bo$17bo8bobo8bo46bo5bo
4bo85bo4bo64b2o20bo4bo252b2o20bo4bo252b2o20bo4bo252b2o20bo4bo$26bo63b
5o86b5o87b5o275b5o275b5o275b5o$13b3o$13bo76b3o88b3o89b3o277b3o277b3o
277b3o$14bo75bo2bo87bo2bo88bo2bo276bo2bo276bo2bo276bo2bo$92b2o89b2o90b
2o278b2o278b2o278b2o3$6bo$5b2o976b2o$bo3bobo976b2o$b2o980bo$obo2$11b3o
$11bo$12bo!
One of the eaters in the northwest rectifier was built with that expensive four-glider recipe, but it really only needed 3G.

If the trick with a different 3G pi recipe works in the southeast corner, that should reduce the cost to 70G.

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Re: Synthesising Oscillators

Post by pifricted » September 21st, 2024, 7:32 am

dvgrn wrote:
September 21st, 2024, 7:10 am
One of the eaters in the northwest rectifier was built with that expensive four-glider recipe, but it really only needed 3G.

If the trick with a different 3G pi recipe works in the southeast corner, that should reduce the cost to 70G.
-1G(northwest rectifier):

Code: Select all

x = 55, y = 56, rule = LifeHistory
53.A$52.A$52.3A6$47.A.A$47.2A$48.A4$28.A$26.A.A$27.2A$37.A$35.2A$36.2A
3$7.2A$7.A2.A$8.3A2$6.5A$5.A4.A$4.A2.A$2A2.A.2A25.A$A.A.A5.A20.2A$2.A
.A4.A.A20.2A$.2A.2A2.A2.A$9.2A$40.2A$40.A$38.A.A$25.2D11.2A$25.D.D$27.
D$25.D.D$25.2D4$12.A$12.2A$11.A.A5$30.A$29.A.A$29.A.A$30.A!
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » September 21st, 2024, 10:13 am

pifricted wrote:
September 21st, 2024, 7:32 am
-1G(northwest rectifier)...
Oof, why didn't I think of that option? The same thing improves the count by 1 for the southeast rectifier as well, so there's the 70G recipe:

Code: Select all

x = 1124, y = 229, rule = B3/S23
1028bo$1026b2o$1027b2o5$1022bo$1021bo$1021b3o5$944bobo$945b2o$945bo$
1010bo$1010bobo$1010b2o10$1006bo$1006bobo$1006b2o8$391bo$392bo$390b3o
2$401bobo$401b2o683bo$396bobo3bo681b2o$397b2o686b2o$397bo2$691bobo$
673b2o17b2o259b2o$389bo283bo2bo15bo260bo2bo$390bo283b3o277b3o$388b3o
330bo$377bo294b5o44bobo228b5o$366bo8bobo8bo284bo4bo5bo38b2o228bo4bo$
367bo8b2o6bobo283bo2bo7bo268bo2bo$365b3o17b2o279b2o2bob2o7b3o262b2o2bo
b2o$666bobobo275bobobo5bo$668bobo277bobo4bobo$381bo285b2ob2o275b2ob2o
2bo2bo$382b2o9bobo559b2o$381b2o11b2o590b2o$394bo277b2o312bo$671bobo
310bobo$379b2o14bo277bo310b2o$380b2o13bobo$379bo15b2o4$1058bo$1057bo$
1057b3o5$414bo$415bo$413b3o280bo279bo$695bobo277bobo$695bobo277bobo$
685b3o8bo279bo$410b3o274bo$412bo273bo$411bo13$1030bobo$1030b2o$1031bo$
929b3o$931bo$930bo5$1035bo$1034bo$1034b3o52bo$1012bo16bo59bobo$1012b2o
15bobo52bo4b2o$1011bobo15b2o52bo$1006b2o75b3o$1007b2o$1006bo9$1059bo$
1009b2o48bobo$1008bobo48b2o$1010bo9$1063bo$1061b2o$984b3o75b2o$986bo
52b2o15bobo$979b2o4bo52bobo15b2o$978bobo59bo16bo$980bo52b3o$1035bo$
1034bo7$1087bo$1038bo46b2o$1038b2o46b2o$1037bobo11$957b2o$958b2o106b2o
$952bo4bo109b2o$251bo700b2o107bo4bo$252bo698bobo107b2o$250b3o280bo279b
o246bobo30bo$532bobo277bobo277bobo$532bobo277bobo277bobo$533bo279bo
279bo$247b3o$249bo$248bo$1111bobo$1111b2o$1112bo$1010b3o$1012bo$1011bo
2$155bo$154bo$24bo129b3o$5bobo14b2o125bobo$6b2o15b2o68bo56b2o92b2o278b
2o278b2o278b2o$6bo86bobo54bo92bobo277bobo277bobo277bobo$93b2o148bo279b
o279bo279bo$21b2o219b2o278b2o278b2o278b2o$20b2o159b2o90b2o278b2o278b2o
278b2o$22bo72b2ob2o80bo2bo2b2ob2o81bo2bo2b2ob2o269bo2bo2b2ob2o269bo2bo
2b2ob2o269bo2bo2b2ob2o$96bobo81bobo4bobo82bobo4bobo270bobo4bobo270bobo
4bobo270bobo4bobo$96bobobo80bo5bobobo81bo5bobobo269bo5bobobo269bo5bobo
bo245b2o22bo5bobobo$17b2o17b3o44b3o7b2obo2b2o83b2obo2b2o84b2obo2b2o
272b2obo2b2o272b2obo2b2o246b2o24b2obo2b2o$17bobo6b2o8bo48bo7bo2bo87bo
2bo88bo2bo276bo2bo276bo2bo249bo26bo2bo$17bo8bobo8bo46bo5bo4bo85bo4bo
86bo4bo274bo4bo274bo4bo274bo4bo$26bo63b5o86b5o87b5o275b5o275b5o275b5o$
13b3o$13bo76b3o88b3o89b3o277b3o277b3o277b3o$14bo75bo2bo87bo2bo88bo2bo
276bo2bo276bo2bo276bo2bo$92b2o89b2o90b2o278b2o278b2o278b2o3$6bo$5b2o
1078b2o$bo3bobo1078b2o$b2o1082bo$obo1093b2o$1096bobo$11b3o1082bo$11bo$
12bo2$1074bo$1074b2o$1073bobo6$1068b3o$1070bo$1069bo!

Jormungant
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Re: Synthesising Oscillators

Post by Jormungant » September 21st, 2024, 1:52 pm

dvgrn wrote:
September 21st, 2024, 10:13 am
Oof, why didn't I think of that option? The same thing improves the count by 1 for the southeast rectifier as well, so there's the 70G recipe:
Indeed, how did that slip on your mind... that is terrible! 2 gliders too much! How devastating! The horror!

...

So here is your doom:

Code: Select all

x = 409, y = 433, rule = LifeHistory
7$132.A$130.2A$131.2A5$126.A$125.A$125.3A5$48.A.A$49.2A$49.A$114.A$
114.A.A$114.2A10$110.A$110.A.A$110.2A11$352.A.A$352.2A$353.A6$57.2A$
57.A2.A$58.3A2$56.5A$55.A4.A$54.A2.A$50.2A2.A.2A$50.A.A.A5.A$52.A.A4.
A.A$51.2A.2A2.A2.A$59.2A$90.2A$90.A$88.A.A$88.2A15$80.A$79.A.A$79.A.A
$80.A19$33.3A$35.A$34.A26$138.A$137.2A$137.A.A26$164.3A$164.A$165.A
12$197.A$196.A.A$196.A.A$197.A10$192.2A$191.2A$193.A3$188.2A$187.A.A$
187.A$186.2A$217.2A$216.A2.A2.2A.2A$216.A.A4.A.A$217.A5.A.A.A$220.2A.
A2.2A$220.A2.A$217.A4.A$217.5A2$217.3A$217.A2.A$219.2A7$219.2A$219.A.
A$219.A25$247.A$246.2A$246.A.A26$273.3A$273.A$274.A25$301.2A$300.2A$
302.A25$328.2A$328.A.A$328.A11$56.2A$57.2A$56.A10$52.2A$53.2A$52.A$
337.2A$337.A.A$337.A4$41.A$41.2A$40.A.A6$35.3A$37.A$36.A!
... And you are welcome :D

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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » September 21st, 2024, 4:17 pm

Jormungant wrote:
September 21st, 2024, 1:52 pm
Indeed, how did that slip on your mind... that is terrible! 2 gliders too much! How devastating! The horror!
...
So here is your doom..
Heh, last stage down from 36 gliders to 20. Yep, I should certainly have thought of that, since I knew perfectly well that rectifiers have a transparent input lane.

-- Well, it made a better series of incremental improvements, to not just jump to the 54G solution all at once!

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Re: Synthesising Oscillators

Post by confocaloid » September 21st, 2024, 7:33 pm

Slight correction, to make the resulting oscillator p109 rather than p1090:

Code: Select all

x = 321, y = 365, rule = B3/S23
99bo$97b2o$98b2o5$93bo$92bo$92b3o5$15bobo$16b2o$16bo$81bo$81bobo$81b2o
10$77bo$77bobo$77b2o11$319bo$318bo$318b3o6$24b2o$24bo2bo$25b3o2$23b5o$
22bo4bo$21bo2bo$17b2o2bob2o$17bobobo5bo$19bobo4bobo$18b2ob2o2bo2bo$26b
2o$57b2o$57bo$55bobo$55b2o15$47bo$46bobo$46bobo$47bo19$3o$2bo$bo26$
105bo$104b2o$104bobo26$131b3o$131bo$132bo12$164bo$163bobo$163bobo$164b
o10$159b2o$158b2o$160bo3$155b2o$154bobo$154bo$153b2o$184b2o$183bo2bo2b
2ob2o$183bobo4bobo$184bo5bobobo$187b2obo2b2o$187bo2bo$184bo4bo$184b5o
2$184b3o$184bo2bo$186b2o7$186b2o$186bobo$186bo25$214bo$213b2o$213bobo
26$240b3o$240bo$241bo25$268b2o$267b2o$269bo25$295b2o$295bobo$295bo10$
24b2o$23bobo$25bo10$20b2o$19bobo$21bo$304bo$303b2o$303bobo5$8b3o$10bo$
9bo5$3b2o$4b2o$3bo!
Not sure whether Catagolue will accept this, though, because the target constellation consists of two clusters that are far away from each other.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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Re: Synthesising Oscillators

Post by dvgrn » September 21st, 2024, 9:55 pm

confocaloid wrote:
September 21st, 2024, 7:33 pm
Not sure whether Catagolue will accept this, though, because the target constellation consists of two clusters that are far away from each other.
Rather entertainingly, there's a way to fix that, which again -- like Jormungant's contribution -- will look much more obvious in hindsight.

Oddly enough, this is a perfectly valid final synthesis step for the p109:

Code: Select all

x = 178, y = 194, rule = B3/S23
51bo$49b2o$50b2o5$45bo$44bo$44b3o5$29bobo$30b2o$30bo$33bo$33bobo$7b2o
24b2o$7bo2bo$8b3o2$6b5o$5bo4bo$4bo2bo$2o2bob2o$obobo5bo$2bobo4bobo$b2o
b2o2bo2bo17bo$9b2o18bobo$29b2o9b2o$40bo$38bobo$38b2o6$14b3o$16bo22bo$
15bo21bobo$38b2o6$30bo$29bobo$29bobo$30bo16$57bo7bo$56b2o8b2o$56bobo6b
2o25$93bo$83b3o8bo$83bo8b3o$84bo25$111b2o6bobo$110b2o8b2o$112bo7bo16$
147bo$146bobo$146bobo$147bo6$138b2o$138bobo21bo$138bo22bo$161b3o6$138b
2o$137bobo$137bo$136b2o9b2o$146bobo18b2o$148bo17bo2bo2b2ob2o$166bobo4b
obo$167bo5bobobo$170b2obo2b2o$170bo2bo$167bo4bo$167b5o2$167b3o$167bo2b
o$143b2o24b2o$142bobo$144bo$147bo$146b2o$146bobo5$131b3o$133bo$132bo5$
126b2o$127b2o$126bo!
I tried submitting it in that form, since the current readsynth queue didn't seem to have the previous synthesis in it. If the vertical spacing is still enough to confuse Catagolue, maybe it would work better rewound 35 ticks or so so that the gliders are more evenly spaced. (?)

EDIT: Yup, just as confocaloid suggested, the problem isn't with the above final stage, it's with the previous step that creates two widely separated rectifier islands -- the synthesis was submitted, but it just looks to Catagolue like a synth of a standalone rectifier-minus-eater-and-block. For some reason it accepted that as a "best-known" synthesis, even though it's 18 gliders. Catagolue should have seen the 17G synth of the actual standalone rectifier-minus-eater-and-block.

So I've now tried submitting the 17G synth separately -- plus this continuous-synthesis attempt to give Catagolue the right idea:

Code: Select all

x = 322, y = 322, rule = B3/S23
95bo$95bobo$95b2o5$91bo$89b2o$90b2o4$43bo$44bo$42b3o2$27bo50bobo$25bob
o50b2o$26b2o51bo$53bo$51b2o$32bo19b2o$33b2o$32b2o3$59bo$57b2o$25bo32b
2o14bobo$23bobo48b2o$12bo11b2o49bo$13bo7bo$2bo8b3o8bo$obo17b3o$b2o3$
16bobo10bo$17b2o11b2o$17bo11b2o2$46bo$45bo$45b3o3$68bo$69b2o$68b2o$44b
o$42bobo26bo$43b2o25bo$70b3o$62b2o$61bobo$63bo$15bo$15b2o$14bobo2$22bo
$22b2o$21bobo5$79bo$77bobo$78b2o2$27b2o$28b2o$27bo8$40b2o$39bobo$41bo
11$105bo$106b2o$105b2o4$101b3o$101bo$102bo19$133bo$134bo$132b3o4$129b
2o$128b2o$130bo21$208bo$206b2o$207b2o2$156b2o$156bobo$156bo19bo$175bob
o$175bobo$176bo15$167b2o$166bobo$166bo$165b2o$196b2o$195bo2bo2b2ob2o$
195bobo4bobo$184bo11bo5bobobo$183b2o14b2obo2b2o$183bobo13bo2bo$196bo4b
o$196b5o2$196b3o$196bo2bo$198b2o4$160bo$160b2o$159bobo10$156bo$156b2o$
155bobo2$191b3o$191bo$192bo4$144b2o$145b2o$144bo5$139b2o$138bobo$140bo
94$319b3o$319bo$320bo!
EDIT 9/23/2024: It took an extra day and a couple of re-submissions, for reasons I'm not entirely clear on, but a 55G synthesis is now available on Catagolue, using the 17G synth of a rectifier with the correct eater and block missing. Possibly there was a stage that accidentally didn't get submitted correctly for some reason.

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Re: Synthesising Oscillators

Post by Chris857 » September 21st, 2024, 11:52 pm

p80 R-pentomino hassler in 99G.

Code: Select all

x = 1636, y = 126, rule = B3/S23
1531bo$1529b2o$1530b2o3$1523bo$974bo547bo$972b2o548b3o$973b2o6$1348bo
bo$1348b2o$912bobo62bo371bo$913b2o62bobo533bo$913bo63b2o534bobo$1513b
2o6$1319bobo$1319b2o$1320bo$3b2o3b2o83b2o3b2o103b2o3b2o103b2o3b2o103b
2o3b2o113b2o3b2o103b2o3b2o103b2o3b2o133b2o3b2o103b2o3b2o93b2o3b2o153b
2o3b2o183b2o3b2o123b2o3b2o34bo$3b2o3b2o3bo79b2o3b2o3bo99b2o3b2o3bo99b
2o3b2o3bo99b2o3b2o3bo109b2o3b2o3bo99b2o3b2o3bo99b2o3b2o3bo129b2o3b2o3b
o99b2o3b2o3bo89b2o3b2o3bo149b2o3b2o3bo179b2o3b2o3bo119b2o3b2o3bo29bo$
12bobo87bobo107bobo107bobo107bobo117bobo107bobo107bobo137bobo107bobo97b
obo157bobo187bobo127bobo28b3o$6b3ob4o4b2o76b3ob4o4b2o96b3ob4o4b2o96b3o
b4o4b2o96b3ob4o4b2o106b3ob4o4b2o96b3ob4o4b2o96b3ob4o4b2o126b3ob4o4b2o
96b3ob4o4b2o86b3ob4o4b2o146b3ob4o4b2o176b3ob4o4b2o116b3ob4o4b2o$6b4o8b
2o76b4o8b2o96b4o8b2o96b4o8b2o96b4o8b2o106b4o8b2o96b4o8b2o96b4o8b2o126b
4o8b2o96b4o8b2o86b4o8b2o146b4o8b2o176b4o8b2o116b4o8b2o$2bo2bo6bobo77b
o2bo6bobo97bo2bo6bobo97bo2bo6bobo97bo2bo6bobo107bo2bo6bobo97bo2bo6bob
o97bo2bo6bobo127bo2bo6bobo97bo2bo6bobo87bo2bo6bobo147bo2bo6bobo74bo102b
o2bo6bobo117bo2bo6bobo$bobo3bo2bobo2b2o74bobo3bo2bobo2b2o94bobo3bo2bo
bo2b2o94bobo3bo2bobo2b2o94bobo3bo2bobo2b2o104bobo3bo2bobo2b2o94bobo3b
o2bobo2b2o94bobo3bo2bobo2b2o124bobo3bo2bobo2b2o94bobo3bo2bobo2b2o84bo
bo3bo2bobo2b2o144bobo3bo2bobo2b2o71bo102bobo3bo2bobo2b2o114bobo3bo2bo
bo2b2o$2b2ob2o6bob2o75b2ob2o6bob2o95b2ob2o6bob2o95b2ob2o6bob2o95b2ob2o
6bob2o105b2ob2o6bob2o95b2ob2o6bob2o95b2ob2o6bob2o125b2ob2o6bob2o95b2o
b2o6bob2o85b2ob2o6bob2o145b2ob2o6bob2o71b3o101b2ob2o6bob2o115b2ob2o6b
ob2o$3bo11b2ob2o73bo11b2ob2o93bo11b2ob2o93bo11b2ob2o93bo11b2ob2o103bo
11b2ob2o93bo11b2ob2o93bo11b2ob2o123bo11b2ob2o93bo11b2ob2o83bo11b2ob2o
143bo11b2ob2o173bo11b2ob2o113bo11b2ob2o$3bo2bo8bo2b2o73bo2bo8bo2b2o93b
o2bo8bo2b2o93bo2bo8bo2b2o93bo2bo8bo2b2o103bo2bo8bo2b2o93bo2bo8bo2b2o93b
o2bo8bo2b2o123bo2bo8bo2b2o93bo2bo8bo2b2o83bo2bo8bo2b2o143bo2bo8bo2b2o
173bo2bo8bo2b2o113bo2bo8bo2b2o$2o2bo8bo2bo73b2o2bo8bo2bo93b2o2bo8bo2b
o37bo55b2o2bo8bo2bo93b2o2bo8bo2bo103b2o2bo8bo2bo93b2o2bo8bo2bo93b2o2b
o8bo2bo45bo77b2o2bo8bo2bo93b2o2bo8bo2bo83b2o2bo8bo2bo143b2o2bo8bo2bo173b
2o2bo8bo2bo113b2o2bo8bo2bo$2ob2o11bo73b2ob2o11bo93b2ob2o11bo37bobo53b
2ob2o11bo93b2ob2o11bo103b2ob2o11bo93b2ob2o11bo93b2ob2o11bo43b2o78b2ob
2o11bo93b2ob2o11bo83b2ob2o11bo49bo93b2ob2o11bo173b2ob2o11bo113b2ob2o11b
o11bo$3b2obo6b2ob2o75b2obo6b2ob2o95b2obo6b2ob2o36b2o57b2obo6b2ob2o95b
2obo6b2ob2o105b2obo6b2ob2o95b2obo6b2ob2o95b2obo6b2ob2o43b2o80b2obo6b2o
b2o95b2obo6b2ob2o85b2obo6b2ob2o47bo97b2obo6b2ob2o175b2obo6b2ob2o115b2o
bo6b2ob2o8b3o$3b2o2bobo2bo3bobo74b2o2bobo2bo3bobo94b2o2bobo2bo3bobo94b
2o2bobo2bo3bobo94b2o2bobo2bo3bobo104b2o2bobo2bo3bobo94b2o2bobo2bo3bob
o94b2o2bobo2bo3bobo124b2o2bobo2bo3bobo94b2o2bobo2bo3bobo84b2o2bobo2bo
3bobo46b3o95b2o2bobo2bo3bobo174b2o2bobo2bo3bobo114b2o2bobo2bo3bobo6bo
$5bobo6bo2bo77bobo6bo2bo97bobo6bo2bo97bobo6bo2bo97bobo6bo2bo107bobo6b
o2bo97bobo6bo2bo97bobo6bo2bo127bobo6bo2bo97bobo6bo2bo87bobo6bo2bo147b
obo6bo2bo177bobo6bo2bo117bobo6bo2bo7b2o$2o8b4o76b2o8b4o96b2o8b4o96b2o
8b4o41bo54b2o8b4o106b2o8b4o96b2o8b4o96b2o8b4o126b2o8b4o96b2o8b4o86b2o
8b4o146b2o8b4o176b2o8b4o116b2o8b4o$2o4b4ob3o76b2o4b4ob3o35bo4bo55b2o4b
4ob3o96b2o4b4ob3o41bobo52b2o4b4ob3o106b2o4b4ob3o96b2o4b4ob3o96b2o4b4o
b3o126b2o4b4ob3o96b2o4b4ob3o86b2o4b4ob3o146b2o4b4ob3o163bobo10b2o4b4o
b3o116b2o4b4ob3o$5bobo87bobo40bo4bo61bobo107bobo47b2o58bobo117bobo107b
obo107bobo137bobo107bobo97bobo157bobo170b2o15bobo127bobo$6bo3b2o3b2o79b
o3b2o3b2o31b3o2b3o60bo3b2o3b2o99bo3b2o3b2o99bo3b2o3b2o109bo3b2o3b2o99b
o3b2o3b2o99bo3b2o3b2o129bo3b2o3b2o99bo3b2o3b2o89bo3b2o3b2o149bo3b2o3b
2o161bo17bo3b2o3b2o119bo3b2o3b2o$10b2o3b2o83b2o3b2o103b2o3b2o103b2o3b
2o103b2o3b2o113b2o3b2o103b2o3b2o42bo60b2o3b2o133b2o3b2o103b2o3b2o93b2o
3b2o153b2o3b2o183b2o3b2o123b2o3b2o$709bobo$709b2o2$705bo$705bobo$705b
2o3$1050bo99bo159bo$1049bobo97bobo157bobo$119b2o108b2o108b2o3b2o103b2o
3b2o113b2o3b2o103b2o3b2o103b2o3b2o133b2o3b2o103b2o3b2o3b2o88b2o3b2o3b
2o148b2o3b2o3b2o178b2o3b2o123b2o3b2o$119b2o108b2o108b2o3b2o103b2o3b2o
113b2o3b2o103b2o3b2o103b2o3b2o133b2o3b2o103b2o3b2o93b2o3b2o153b2o3b2o
183b2o3b2o21bo101b2o3b2o$1499b2o15b2o111b2o$939b2o108b2o98b2o158b2o3b
2o182bo2bo2b2o10bobo109bo2bo2b2o$115bo109bo4b2o103bo4b2o103bo4b2o113b
o4b2o103bo4b2o103bo4b2o133bo4b2o7bobo93bo4b2o7bobo83bo4b2o7bobo143bo4b
2o7bobo2b2o173b3o7bobo2b2o113b3o7bobo2b2o$114bobo107bobo2bobo102bobo2b
obo102bobo2bobo3b2o107bobo2bobo3b2o97bobo2bobo3b2o97bobo2bobo3b2o127b
obo2bobo3b2o3b2o92bobo2bobo3b2o3b2o82bobo2bobo3b2o3b2o142bobo2bobo3b2o
3b2o176bo2bo3b2o3b2o107b2o7bo2bo3b2o3b2o$115b2o108b2o2b2o104b2o2b2o104b
2o2b2o4b2o108b2o2b2o4b2o98b2o2b2o4b2o98b2o2b2o4b2o128b2o2b2o4b2o98b2o
2b2o4b2o88b2o2b2o4b2o148b2o2b2o4b2o181bobo4b2o113bo7bobo4b2o$1489bo117b
3o9bo$1314b2o188b2o101bo26b2o$341b2o108b2o118b2o108b2o108b2o6b2o130b2o
6b2o100b2o6b2o90b2o6b2o150b2o6b2o3b2o175b2o6b2o3b2o115b2o6b2o3b2o$341b
2o103b2o3b2o113b2o3b2o103b2o3b2o103b2o3b2o6b2o125b2o3b2o6b2o95b2o3b2o
6b2o85b2o3b2o6b2o145b2o3b2o6b2o175b2o3b2o6b2o92b2o21b2o3b2o6b2o$446b2o
118b2o108b2o108b2o138b2o108b2o98b2o158b2o188b2o106b2o20b2o$1502bo90bo
38bo$795b2o138b2o108b2o98b2o4b2o152b2o4b2o182b2o4bobo121b2o4bobo$570b
2o108b2o108b2o3b2o133b2o3b2o103b2o3b2o93b2o3b2o3bobo147b2o3b2o3bobo177b
2o3b2o3bo2bo86b2o28b2o3b2o3bo2bo$40b2o528bobo103b2o2bobo103b2o2bobo133b
2o2bobo103b2o2bobo93b2o2bobo7b2o144b2o2bobo7b2o174b2o2bobo7b3o88b2o23b
2o2bobo7b3o$39b2o530b2o103b2o3b2o103b2o3b2o133b2o3b2o103b2o3b2o93b2o3b
2o153b2o3b2o183b2o2bo2bo96bo25b2o2bo2bo$41bo1449b2o128b2o$8b2o3b2o1291b
2o3b2o183b2o3b2o123b2o3b2o$7bobo2bobo1291b2o3b2o183b2o3b2o123b2o3b2o$
9bo4bo$257b2o559b3o2b3o$49b2o206bobo558bo4bo$48b2o207bo561bo4bo$50bo$
1179b2o$368b2o809bobo72b2o$141b2o225bobo808bo73bobo$140b2o226bo886bo195b
2o$142bo107b3o923b2o272bobo$250bo104b3o354b2o462bobo273bo$251bo103bo356b
obo461bo$209b3o144bo355bo320b2o$211bo102b3o151b2o562bobo216b2o$210bo105b
o151bobo237b2o324bo39bo175bobo$315bo112bo39bo77b3o159bobo362b2o177bo$
428b2o118bo159bo364bobo$427bobo117bo485b2o$468b2o117b3o442bobo$468bob
o116bo446bo137b2o$468bo119bo535b3o45bobo266b3o$1126bo45bo270bo$1125bo
316bo$1128b3o$1130bo$1129bo304b2o$1435b2o$1434bo5$1355bo$1354b2o$1354b
obo4b3o$1361bo$1362bo2$1261b2o$1262b2o$1261bo2$1338b2o$1338bobo$1338b
o$1260b2o$1259bobo$1261bo!

User avatar
pifricted
Posts: 968
Joined: May 25th, 2024, 10:26 am
Location: Behind The Great Internet Wall

Re: Synthesising Oscillators

Post by pifricted » September 22nd, 2024, 12:09 am

P141 Rectifier Loop in 50G:

Code: Select all

x = 527, y = 95, rule = B3/S23
362bo$360bobo$361b2o11$516bobo$516b2o$517bo2$391bo$391bobo$387bo3b2o$
269bo115bobo129b2o$267bobo116b2o128bo2bo$268b2o246b3o$272bo116bo$165b
o106bobo113bo127b5o$77b2o73b2o9b2o80b2o25b2o94b2o18b3o3b2o98b2o20bo4b
o$78bo74bo10b2o80bo122bo24b2o99bo23bo2bo$23bo54bobo72bobo90bobo120bob
o30bo92bobo21b2obo2bo$23b2o54b2o73b2o91b2o10bo110b2o10bo18bo94b2o17bo
6bobobo$22bobo137b2o94bobo120bobo17b3o109bobo6bobobo$27b3o131b2o95b2o
121b2o12bo118b2o5b2ob2o$27bo135bo231bobo$28bo39b2o73b2o91b2o35bo85b2o
34b2o88b2o$69bo74bo92bo33b2o87bo38b3o84bo29b3o$14bo54bobo72bobo90bobo
32b2o31bo54bobo36bo86bobo27bo$14b2o54b2o73b2o91b2o66bo54b2o37bo86b2o28b
o$13bobo288b3o$5bo12b3o235b2o121b2o10bo113b2o$3bobo12bo237b2o12bo108b
2o9bobo112b2o$4b2o13bo250bobo117b2o$270b2o$63bo74bo92bo122bo125bo$62b
obo72bobo90bobo33b2o85bobo123bobo$62bobo72bobo90bobo32b2o86bobo123bob
o$63bo74bo92bo35bo86bo125bo$86bo85b3o$86bobo83bo$b2o83b2o31bo53bo$obo
117bo$2bo115b3o$154bo56bo35bo122bo125bo$153bobo56b2o32bobo120bobo123b
obo$153bobo55b2o33bobo120bobo123bobo$154bo92bo122bo125bo$207b2o$69bo13b
2o121bobo124b2o$70bo12bobo122bo12b2o109bobo9b2o124b2o$68b3o12bo137b2o
110bo10b2o124b2o$73bobo342b3o$73b2o71b2o91b2o83bo37b2o54bo40bo28b2o$74b
o71bobo56b2o32bobo83bo36bobo54bo40bo27bobo$148bo57b2o33bo81b3o38bo93b
3o29bo$60bo87b2o55bo35b2o85b2o34b2o124b2o$61bo67bo197bobo$59b3o68b2o87b
2o108bo12b2o107b2ob2o5b2o$64bobo62b2o87bobo100b3o17bobo106bobobo6bobo
$64b2o71b2o80bo10b2o91bo18bo10b2o95bobobo6bo17b2o$65bo71bobo90bobo89b
o30bobo95bo2bob2o21bobo$127b2o10bo92bo96b2o24bo98bo2bo23bo$128b2o9b2o
64b2o25b2o95b2o3b3o18b2o98bo4bo20b2o$127bo76bobo129bo119b5o$206bo128b
o$209b2o247b3o$209bobo125b2o118bo2bo$209bo127bobo118b2o$332b2o3bo$331b
obo$333bo2$459bo$459b2o$458bobo11$362b2o$362bobo$362bo!
P137+4n Rectifier Loops all in 50G.

Can we synthesis p67 snark loop?

Edit:P5 diamond in 36G:

Code: Select all

x = 227, y = 121, rule = B3/S23
212bo$211bo$211b3o11$108bo$106bobo$107b2o9$142bo$143bo$141b3o7$168bob
o$168b2o$155bo13bo30bo$156b2o42bobo$155b2o43b2o4$163bo$162bo$162b3o16b
o$151bo28bo$14bo134bobo28b3o$14bobo133b2o$14b2o160bobo$10bo142b2o22b2o
$8bobo143b2o21bo11bobo$9b2o142bo8b2o25b2o$161bo2bo25bo$162b2o$26bo$25b
o$25b3o147bo$139bo34bobo6b2o$140b2o32bobo6bobo$139b2o34bo7bo$bo26b3o$
2bo25bo$3o26bo$149bo7bo34b2o$147bobo6bobo32b2o$148b2o6bobo34bo$3b3o151b
o$5bo$4bo$169b2o$142bo25bo2bo$20b2o120b2o25b2o8bo$20bobo118bobo11bo21b
2o$20bo133b2o22b2o$15b2o137bobo$14bobo164b2o$16bo133b3o28bobo$152bo28b
o$151bo16b3o$170bo$169bo4$131b2o43b2o$130bobo42b2o$132bo30bo13bo$163b
2o$162bobo7$189b3o$189bo$190bo9$224b2o$224bobo$224bo11$119b3o$121bo$120b
o!
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

Chris857
Posts: 672
Joined: June 10th, 2020, 11:26 pm

Re: Synthesising Oscillators

Post by Chris857 » September 23rd, 2024, 9:56 pm

98P25 down 1G to 36G.

Code: Select all

x = 234, y = 101, rule = B3/S23
bo$2b2o$b2o3$5bo83bo$6bo80b2o$4b3o81b2o28$201bo26bo$199bobo26bobo$200b
2o26b2o6$207bo14bo$208bo12bo$206b3o12b3o2$84b2o112bo32bo$81b2o2bo110b
obo6bo18bo6bobo$81bob2o112b2o7bo16bo7b2o$80bo123b3o16b3o$80bo$81bob2o
$81b2o2bo$84b2o7$190b2o$190bo2b3o30b2o$191b2o29b3o2bo$196bo28b2o$196b
o24bo$191b2o28bo$190bo2b3o29b2o$190b2o30b3o2bo$226b2o25$94b3o$94bo$2o
93bo$b2o$o5b3o$8bo$7bo!
p48 B-heptomino hassler in 68G.

Code: Select all

x = 1403, y = 129, rule = B3/S23
135bo$136bo$134b3o12$724bo$130bo591b2o$131b2o590b2o$130b2o$225bo$225b
obo$144bobo78b2o$145b2o$145bo4$493bobo$222bo271b2o846bo$220b2o272bo614b
o230bobo$221b2o886bobo229b2o$1109b2o$1229bo$1228bo143bo$212bo866bo148b
3o113bobo25bobo$210b2o865bobo25bobo80bo156b2o25b2o$211b2o201bobo114bo
546b2o25b2o82bo155bo$415b2o114bobo572bo80b3o187bobo$415bo115b2o539bob
o302b2o$1073b2o303bo$410bo662bo$408bobo936bo$409b2o89bobo845bo$501b2o
843b3o$501bo23bobo$525b2o824bo$526bo822bobo$51bo1298b2o$49b2o$50b2o7$
1215bo151b2o6bo$1213b3o151b2o4b3o$1212bo159bo$312b2o128b2o83bo4b2o153b
o4b2o143bo4b2o123bo4b2o123bo4b2o108b2o3bo4b2o148b2o3bo4b2o$41bo270bob
ob2o124bobob2o78bobo3bobob2o148bobo3bobob2o138bobo3bobob2o118bobo3bob
ob2o118bobo3bobob2o108bobo3bobob2o148bobo3bobob2o$4b2o34bo113b2o128b2o
28bobo97b2o28bobo57b2o21bo6bobo127b2o21bo6bobo117b2o21bo6bobo97b2o21b
o6bobo97b2o21bo6bobo87b2o21bo6bobo127b2o21bo6bobo$4bobo33b3o111bobo127b
obo26b2obo97bobo26b2obo57bobo26b2obo127bobo16bo9b2obo117bobo16bo9b2ob
o97bobo16bo9b2obo97bobo16bo9b2obo87bobo16bo9b2obo127bobo16bo9b2obo$6b
o149bo129bo29bob2o96bo29bob2o56bo29bob2o126bo16b2o11bob2o116bo16b2o11b
ob2o96bo16b2o11bob2o96bo16b2o11bob2o86bo16b2o11bob2o126bo16b2o11bob2o
$6b3o147b3o127b3o24b4o2bo96b3o24b4o2bo56b3o24b4o2bo126b3o14b2o8b4o2bo
116b3o14b2o8b4o2bo96b3o14b2o8b4o2bo96b3o14b2o8b4o2bo86b3o14b2o8b4o2bo
126b3o14b2o8b4o2bo$4b2o3bo144b2o3bo124b2o3bo23bo3b2o95b2o3bo23bo3b2o55b
2o3bo23bo3b2o125b2o3bo14bo8bo3b2o115b2o3bo8bo5bo8bo3b2o95b2o3bo8bo5bo
8bo3b2o95b2o3bo8bo5bo8bo3b2o85b2o3bo8bo5bo8bo3b2o125b2o3bo8bo5bo8bo3b
2o$3bo2b4o143bo2b4o123bo2b4o24b3o96bo2b4o24b3o56bo2b4o24b3o126bo2b4o24b
3o116bo2b4o8b2o14b3o96bo2b4o8b2o14b3o96bo2b4o8b2o14b3o86bo2b4o8b2o14b
3o126bo2b4o8b2o14b3o$3b2obo146b2obo126b2obo29bo96b2obo29bo56b2obo29bo
126b2obo29bo116b2obo11b2o16bo96b2obo11b2o16bo96b2obo11b2o16bo86b2obo11b
2o16bo126b2obo11b2o16bo$6bob2o146bob2o126bob2o126bob2o26bobo57bob2o26b
obo110bo16bob2o26bobo117bob2o9bo16bobo97bob2o9bo16bobo97bob2o9bo16bob
o87bob2o9bo16bobo127bob2o9bo16bobo$6bobo147bobo127bobo127bobo28b2o57b
obo28b2o111b2o14bobo28b2o117bobo28b2o97bobo6bo21b2o97bobo6bo21b2o87bo
bo6bo21b2o127bobo6bo21b2o$5b2obobo144b2obobo15b2o4bo102b2obobo124b2ob
obo84b2obobo138b2o14b2obobo38bo105b2obobo124b2obobo3bobo118b2obobo3bo
bo108b2obobo3bobo148b2obobo3bobo$9b2o148b2o14bo2bo2bobo105b2o128b2o88b
2o158b2o38bobo107b2o128b2o4b2o122b2o4bo113b2o4bo3b2o148b2o4bo3b2o$176b
obo3bobo524b2o499bo159bo$177bo5b2o1022b3o157b3o4b2o$1207bo159bo6b2o4$
451b2o$451bobo$451bo3$1391b2o$227b3o1161bobo$227bo1163bo$41bo186bo$40b
2o1352b3o$40bobo1351bo$342bo465b3o584bo$341b2o467bo298bo$296b2o43bobo
465bo30b3o265b2o254bo$b2o292bobo542bo267bobo253b2o$obo294bo543bo94b3o
137bo156b3o127bobo$2bo214bo591b3o126bo137b2o25b2o128bo163bo$216b2o593b
o125bo41bo95bobo25bobo128bo134b2o25b2o$216bobo591bo167b2o123bo88b3o173b
obo25bobo$978bobo213bo175bo$1193bo$1072b2o$1071bobo326b2o$1073bo326bo
bo$1400bo25$649b2o$648bobo$650bo!

User avatar
dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » September 24th, 2024, 6:25 am

pifricted wrote:
September 22nd, 2024, 12:09 am
Can we synthesis p67 snark loop?
Sure, why not? If we can build the p43 Snark loop, then a p67 version could be done as a variant of that. Might be interesting to see how much the p43 Snark loop recipe could be improved now, actually.

Even if 3G glider insertions #5, #6, and #7 don't happen to work due to glider crossing problems (and I bet it's possible to shift the insertion location so tha they do -- there's a lot more room between gliders at p67) the final 5G glider insertion will certainly work wherever it's needed.

User avatar
KtT
Posts: 559
Joined: December 17th, 2022, 9:29 am

Re: Synthesising Oscillators

Post by KtT » September 25th, 2024, 11:06 am

Metamorphosis II in 40G, down from 41G:

Code: Select all

x = 94, y = 98, rule = B3/S23
69bo$69bobo$69b2o7$63bo$61b2o$62b2o29$20b2o$20b2o$20b2o$21bo$20bobo$20b
obo$21bo3$18b2o3b2o$18bobobobo$19b5o$20b3o$8bo12bo$6b4o$5bobob2o$2o2b
o2bob3o$2o3bobob2o$6b4o$8bo19$64b2o$63b2o$65bo2$69b3o$69bo$70bo3$83bo
$82b2o$12bo69bobo$12b2o$11bobo4$8b2o81b3o$7bobo81bo$9bo82bo!
24-09-28:
P224 lumps of muck hassler in 39G, down from 40G:

Code: Select all

x = 500, y = 114, rule = B3/S23
191bo$191bobo$191b2o2$196bo$145bobo47bo$146b2o47b3o$146bo$182bo$181bo
$108bo72b3o$108bobo163bobo$108b2o35bobo90bo35b2o$146b2o91bo35bo$113bo
32bo90b3o$112bo$112b3o$485bobo4bobo$485b2o5b2o$68bo417bo6bo$69b2o$68b
2o5$242b3o85b3o$241bo87bo19b2o91b2o$241bo3bo83bo3bo108b2obo15bo$241bo
2bobo82bo2bobo13bo3bo93bo13bobo$243bobo2bo82bobo2bo10bo4bo90bo15bo3bo
$231b2o11bo3bo70b2o11bo3bo9bobobo93bob2o10bo3bo$248bo87bo8bobobo82bo13b
2o9bo3bo$154b2o73bo3bo11b3o69bo3bo11b3o7bo4bo82bobo22bo3bo$154b2obo71b
o4bo82bo4bo20bo3bo82bo3bo22bobo$158bo72bobobo83bobobo45bo61bo3bo22bo$
155bo76bobobo83bobobo20b2o22bobo60bo3bo$156bob2o73bo4bo82bo4bo42b2o62b
o3bo$158b2o74bo3bo83bo3bo107bobo$435bo30bo$235b2o86b2o141bobo$466b2o5$
156b2o$8bo78b3o142b3o85b3o$7bobo80bo64bo3bo75bo87bo109b2o$6bo3bo75bo3b
o63bo4bo71bo3bo83bo3bo107bob2o$5bo3bo75bobo2bo62bobobo72bobo2bo82bobo
2bo106bo$4bo3bo74bo2bobo63bobobo71bo2bobo49b3o30bo2bobo111bo$3bo3bo75b
o3bo62bo4bo72bo3bo50bo32bo3bo108b2obo$4bobo76bo66bo3bo73bo55bo31bo112b
2o$5bo78b3o142b3o85b3o142bo$99b2o51b2o13b2o75b2o33b2o51b2o110b2o15bob
o$70b2o26bo2bo64bo2bo73bo2bo32bobo49bo2bo108bo2bo13bo3bo$69bobo27b2o66b
2o75b2o33bo52b2o110b2o15bo3bo$71bo390bo3bo$463bo3bo$464bobo21b3o$465b
o22bo$489bo7$497b2o$497bobo$497bo$371b2o$36b3o331b2o$36bo335bo119b3o$
37bo454bo$3o490bo$2bo323b3o$bo326bo$327bo$413bo$331b2o80b2o$330bobo79b
obo$332bo$454b3o$454bo$455bo$413bo$413b2o53b3o$412bobo53bo$469bo2$464b
2o$464bobo$464bo5$493b2o$492b2o$494bo$418b2o$417bobo$419bo2$404b2o87b
2o$403bobo86b2o$405bo88bo3$408b3o$410bo$409bo!

User avatar
DroneBetter
Posts: 138
Joined: December 1st, 2021, 5:16 am
Location: The UK (a delightful place)
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Re: Synthesising Oscillators

Post by DroneBetter » September 28th, 2024, 1:03 pm

dvgrn wrote:
September 18th, 2024, 7:17 am
[...] now there's a variant with just fishhook eaters replacing the Catalysts of Complication (xs16_8o1vg4cz23). 80G, I think:

Code: Select all

x = 1518, y = 211, rule = B3/S23
415bo$416bo$414b3o6$1198bo$1199bo$1197b3o2$1208bo$1209bo$1207b3o23$1211bo4bo$1212bo4bo$1210b3o2b3o6$1325bo$1324bo$745bo578b3o$743b2o$744b2o572bo$415bo902bobo$416b2o815bobo82b2o144bo$415b2o817b2o229b2o$1234bo229b2o$1506bo$1504b2o$1297bo207b2o$418bo876b2o$419b2o836bo38b2o$418b2o838bo$1256b3o2$627bo665bo$625bobo665bobo$626b2o665b2o5$960bo$958bobo$959b2o$1499bobo$1499b2o$1500bo$1435bo$1433bobo$1434b2o61bo$1497bobo$1497b2o3$619bo$620bo$618b3o2$702bobo$702b2o$703bo2$3bo199bo229bo249bo309bo259bo209bo$b3o2bo194b3o2bo224b3o2bo244b3o2bo304b3o2bo254b3o2bo204b3o2bo$o3b3o193bo3b3o223bo3b3o243bo3b3o303bo3b3o253bo3b3o203bo3b3o$ob2o196bob2o226bob2o246bob2o31b3o272bob2o31b3o222bob2o31b3o172bob2o31b3o$bobob2o194bobob2o224bobob2o244bobob2o32bo271bobob2o32bo221bobob2o32bo171bobob2o32bo$3bo2bo196bo2bo226bo2bo246bo2bo27bo4bo273bo2bo27bo4bo223bo2bo27bo4bo173bo2bo24b2obo4bo$3b2o198b2o228b2o248b2o33bo274b2o33bo224b2o33bo174b2o26bo6bo$715b2o308b2o258b2o202bobo3b2o$715bo309bo259bo203b2o4bo$419b2o248b2o44bo263b2o44bo213b2o44bo163b2o44bo$420bo249bo44bo264bo44bo214bo44bo164bo44bo$420bobo247bobo307bobo257bobo207bobo$421b2o248b2o308b2o258b2o208b2o$35bo151b2o$33bobo152b2o$34b2o7bo143bo7b2o$41b2o152bobo$42b2o151bo$238b2o228b2o248b2o308b2o258b2o208b2o$238bobo227bobo247bobo307bobo257bobo207bobo$240bo229bo249bo264bo44bo214bo44bo164bo44bo$240b2o228b2o248b2o263bo44b2o213bo44b2o163bo44b2o$985bo259bo4b2o203bo4b2o$984b2o258b2o3bobo202b2o3bobo$26b2o198b2o228b2o248b2o274bo33b2o224bo6bo26b2o174bo6bo26b2o$24bo2bo196bo2bo226bo2bo246bo2bo273bo4bo27bo2bo223bo4bob2o24bo2bo173bo4bob2o24bo2bo$24b2obobo194b2obobo224b2obobo244b2obobo271bo32b2obobo221bo32b2obobo171bo32b2obobo$27b2obo196b2obo226b2obo246b2obo272b3o31b2obo222b3o31b2obo172b3o31b2obo$24b3o3bo193b3o3bo223b3o3bo243b3o3bo303b3o3bo253b3o3bo203b3o3bo$24bo2b3o194bo2b3o224bo2b3o244bo2b3o304bo2b3o254bo2b3o204bo2b3o$27bo199bo229bo249bo309bo259bo209bo2$437bo$437b2o$436bobo2$520b3o$520bo$521bo3$1452b2o$1451bobo$1453bo61b2o$1515bobo$1515bo$1450bo$1450b2o$1449bobo$1310b2o$1310bobo$1310bo5$513b2o461b2o$513bobo459bobo$513bo463bo2$1012b3o$721b2o289bo$720b2o251b2o38bo$722bo251b2o$973bo470b2o$1445b2o$1444bo$1036bo448b2o$724b2o309b2o447b2o$723b2o226b2o82bobo448bo$725bo224bobo$395b2o555bo$396b2o$395bo548b3o$946bo$945bo6$1053b3o2b3o$1053bo4bo$1054bo4bo23$1061b3o$1061bo$1062bo2$1071b3o$1071bo$1072bo6$724b3o$724bo$725bo!
I am afraid your synthesis has the eater 1s a single cell too far from the caterers, so the final pattern destroys itself. Using your later optimisation,

Code: Select all

x = 19, y = 25, rule = LifeHistory
16.A$16.A.A$16.2A2$4.A$4.A$4.A4.2D$3.2A3.D.D$.A6.D$A4.A.2D$A13.A$2.3A
10.2A$14.2A3$12.2A$13.2A$12.A5$17.2A$16.2A$18.A!
EDIT2: Yup, a simple kickback works fine, so that saves six gliders on each side -- down to 68G if I've counted right, and 84G for the original variant:

Code: Select all

x = 217, y = 83, rule = B3/S23
178bo$179b2o$178b2o5$216bo$214b2o$215b2o4$183bo$184b2o$183b2o2$212bo$211bo$211b3o7$16bo19bo139bo$14b3o2bo16bobo135b3o2bo$13bo3b3o16b2o135bo3b3o$13bob2o31b3o122bob2o31b3o$14bobob2o32bo121bobob2o32bo$16bo2bo27bo4bo123bo2bo27bo4bo$16b2o33bo124b2o33bo$48b2o158b2o$48bo159bo$2b2o44bo113b2o44bo$3bo44bo114bo44bo$3bobo157bobo$4b2o158b2o6$51b2o158b2o$51bobo157bobo$8bo44bo114bo44bo$8bo44b2o113bo44b2o$8bo159bo4b2o$7b2o158b2o3bobo$5bo33b2o124bo6bo26b2o$4bo4bo27bo2bo123bo4bob2o24bo2bo$4bo32b2obobo121bo32b2obobo$6b3o31b2obo122b3o31b2obo$37b3o3bo135b2o16b3o3bo$37bo2b3o135bobo16bo2b3o$40bo139bo19bo7$3b3o$5bo$4bo2$32b2o$31b2o$33bo4$2o$b2o$o5$37b2o$36b2o$38bo!
Closer eaters are more annoying, and the best I have managed to do is 70G; -1 for each caterer (using iNoMed's 5G synth + 1G for a kickback, rather than the 7G) and +2 for each eater (placed after the caterers, using a high-clearance 4G synth from Niemiec's collection)

Code: Select all

x = 908, y = 131, rule = B3/S23
24bo$25b2o$24b2o22$725bo$726b2o153bobo$725b2o155b2o$882bo$895bobo$895b2o$896bo$763bo$761b2o$762b2o2$402bo$403bo$401b3o326bo$731b2o$730b2o2$759bo$758bo$46b3o357bobo349b3o$48bo358b2o$47bo359bo483bo$51b2o836b2o$50b2o116bo721b2o$52bo115bobo681bo$168b2o253bo429bo$3bo143bo143bo131bobo9bo143bo19bo123bo127b3o13bo20bo$b3o2bo138b3o2bo138b3o2bo128b2o8b3o2bo138b3o2bo16bobo119b3o2bo138b3o2bo16bo$o3b3o137bo3b3o137bo3b3o123bo13bo3b3o137bo3b3o16b2o119bo3b3o137bo3b3o16b3o$ob2o140bob2o31b3o106bob2o31b3o93b2o11bob2o31b3o106bob2o31b3o106bob2o31b3o106bob2o31b3o$bobob2o138bobob2o32bo105bobob2o32bo90b2o13bobob2o32bo105bobob2o32bo105bobob2o32bo105bobob2o32bo$3bo2bo140bo2bo27bo4bo107bo2bo27bo4bo107bo2bo27bo4bo107bo2bo27bo4bo107bo2bo27bo4bo107bo2bo24b2obo4bo$3b2o142b2o33bo108b2o33bo108b2o33bo108b2o33bo108b2o33bo108b2o26bo6bo$39bo139b2o142b2o142b2o142b2o142b2o136bobo3b2o$37b2o140bo143bo143bo143bo143bo137b2o4bo$38b2o139bo143bo143bo143bo143bo143bo$179bo143bo143bo97b2o44bo97b2o44bo97b2o44bo$140bo425bo143bo143bo$141bo424bobo141bobo141bobo$139b3o425b2o142b2o142b2o4$33b3o434b2o142b2o142b2o142b2o$33bo436bobo141bobo141bobo141bobo$34bo437bo143bo143bo143bo$283bo143bo44b2o97bo44b2o97bo44b2o97bo44b2o$135b2o146bo143bo143bo143bo143bo$136b2o145bo143bo143bo143bo4b2o137bo4b2o$135bo146b2o142b2o142b2o142b2o3bobo136b2o3bobo$26b2o142b2o108bo33b2o108bo33b2o108bo33b2o108bo6bo26b2o108bo6bo26b2o$24bo2bo140bo2bo107bo4bo27bo2bo107bo4bo27bo2bo107bo4bo27bo2bo107bo4bob2o24bo2bo107bo4bob2o24bo2bo$24b2obobo138b2obobo105bo32b2obobo13b2o90bo32b2obobo105bo32b2obobo105bo32b2obobo105bo32b2obobo$27b2obo140b2obo106b3o31b2obo11b2o93b3o31b2obo106b3o31b2obo106b3o31b2obo106b3o31b2obo$24b3o3bo137b3o3bo137b3o3bo13bo123b3o3bo137b3o3bo119b2o16b3o3bo118b3o16b3o3bo$24bo2b3o138bo2b3o138bo2b3o8b2o128bo2b3o138bo2b3o119bobo16bo2b3o121bo16bo2b3o$27bo143bo143bo9bobo131bo143bo123bo19bo122bo20bo13b3o$5b2o320bo577bo$4bobo115bo783bo$6bo116b2o742b2o$122b2o744b2o$127bo215bo523bo$126bo215b2o$126b3o213bobo221b3o$568bo$567bo2$595b2o$594b2o$347b3o246bo$347bo$348bo2$563b2o$564b2o$563bo$862bo$862b2o$861bobo$876bo$600b2o273b2o$599b2o274bobo$601bo22$149b2o$148b2o$150bo!
although note that this is all redundant, on account of Chris857's 8-cell-smaller stable-catalyst-only variant between our posts:
Chris857 wrote:
September 18th, 2024, 10:57 pm
[...] 116p123 in 58G.

Code: Select all

x = 1297, y = 273, rule = B3/S23
734bo$734bobo$734b2o507bo$1244b2o$655bo587b2o$656b2o76bo550bo$655b2o75b2o549b2o$733b2o549b2o16$890bo387bobo$404bo485bobo385b2o$82bo314bo5bo486b2o387bo$81bo315bobo3b3o808bo$65bo15b3o313b2o813bobo$64bo1148b2o61bo$64b3o1209bobo$1276b2o3$515bobo$516b2o$516bo525bo$548bo494bo$548bobo490b3o$548b2o588bo$523bobo521bo88b2o$524b2o522b2o87b2o$524bo522b2o$7b2o3b2o193b2o3b2o24bobo106b2o3b2o143b2o3b2o163b2o3b2o173b2o3b2o223b2o3b2o153b2o3b2o$7bo4bo194bo4bo25b2o107bo4bo125bo18bo4bo164bo4bo174bo4bo224bo4bo58bo95bo4bo$8b3obo195b3obo20bobo3bo108b3obo126bo18b3obo165b3obo175b3obo225b3obo57bo97b3obo$10bobob2o194bobob2o17b2o115bobob2o121b3o20bobob2o164bobob2o174bobob2o224bobob2o54b3o97bobob2o$12bo2bo196bo2bo18bo117bo2bo146bo2bo166bo2bo176bo2bo24b2o200bo2bo24b2o130bo2bo24b2o$12b2o198b2o138b2o148b2o168b2o30b2o146b2o26bo3b2o196b2o26bo3b2o126b2o26bo3b2o$704b2o172bobo3b2o222bobo3b2o152bobo3b2o$878b2o228b2o158b2o$702b4o176b4o226b4o156b4o$702bo2bo176bo2bo226bo2bo112b2o42bo2bo$1229bo$1229bobo$1230b2o$366bo$365b2o$365b2o$365bo911b2o$1277bobo$1279bo$663bo2bo176bo2bo226bo2bo156bo2bo42b2o$663b4o176b4o226b4o156b4o$1079b2o158b2o$663b2o178b2o228b2o3bobo152b2o3bobo$525b2o136b2o30b2o146b2o30b2o196b2o3bo26b2o126b2o3bo26b2o$234b2o138b2o147bo2bo166bo2bo176bo2bo200b2o24bo2bo130b2o24bo2bo$234bobobo135bobobo144b2obobo20b3o141b2obobo174b2obobo167b3o54b2obobo154b2obobo$215bo20bob3o135bob3o145bob3o18bo146bob3o175bob3o167bo57bob3o155bob3o$215b2o19bo4bo134bo4bo144bo4bo18bo145bo4bo174bo4bo165bo58bo4bo154bo4bo$214bobo18b2o3b2o133b2o3b2o143b2o3b2o163b2o3b2o173b2o3b2o223b2o3b2o153b2o3b2o$504bo635b2o$503b2o545b2o87b2o$503bobo545b2o88bo$479b2o569bo$478bobo664b3o$480bo664bo$334b3o175bo633bo$336bo174b2o$335bo175bobo2$381b2o$380b2o849b2o$382bo847bobo$1232bo61b2o$1294bobo$1294bo$657b2o570bo$3o653bobo570b2o$2bo655bo569bobo$bo338b2o$341b2o$340bo3$63b3o$63bo$64bo8$814b2o407b2o$335bo479b2o75b2o330b2o$335b2o477bo76b2o330bo$334bobo556bo370b2o$1263b2o$813b2o450bo$812bobo$84b2o728bo$83b2o$85bo69$890bo$890bobo$802bo87b2o$803bo$801b3o$918bo$807bo108b2o$808b2o107b2o$807b2o2$921bo$920bo$920b3o7$847b2o3b2o$847bo4bo$848b3obo$850bobob2o$852bo2bo24b2o$852b2o26bo3b2o$878bobo3b2o$878b2o$882b4o$882bo2bo10$843bo2bo$843b4o2$843b2o$843b2o30b2o$873bo2bo$873b2obobo$876bob3o$876bo4bo$875b2o3b2o7$806b3o$808bo$807bo2$920b2o$810b2o107b2o$811b2o108bo$810bo$925b3o$925bo$926bo18$814b2o$815b2o75b2o$814bo76b2o$893bo2$813b2o$812bobo$814bo!
miaow

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pifricted
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Re: Synthesising Oscillators

Post by pifricted » September 30th, 2024, 7:59 am

xp2_69b88gkcz65122qic in 14G:

Code: Select all

x = 180, y = 66, rule = B3/S23
73bo$72bo$72b3o4$63bo$47bo13b2o$48b2o12b2o$47b2o114bo$164bo$162b3o$50b
obo3bo$51b2o2bo$bo49bo3b3o109bo$2bo163bobo$3o163bo2bo$167b2o12$167b2o
3b2o$166bo2bobobo$166b2obobo$169bo2bo$169bo2bo$170bobob2o$168bobobo2b
o$168b2o3b2o12$173b2o$75b3o94bo2bo$75bo97bobo$20b3o3bo49bo97bo$22bo2b
2o$21bo3bobo$177b3o$177bo$29b2o147bo$14b2o12b2o$15b2o13bo$14bo4$3b3o$
5bo$4bo!
Edit:Near

Code: Select all

x = 8, y = 18, rule = B3/S23
4b3o$5bobo$5b3o$6bo3$6b2o$6b2o3$2o$2o3$bo$3o$obo$b3o!
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

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Ian07
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Location: Pennsylvania, US

Re: Synthesising Oscillators

Post by Ian07 » September 30th, 2024, 11:52 am

pifricted wrote:
September 30th, 2024, 7:59 am
Edit:Near

Code: Select all

RLE
10G: (the 3G for the active object was found using synthesise-patt.py)

Code: Select all

x = 22, y = 32, rule = B3/S23
12bobo$13b2o$13bo2$17bo$15b2o$16b2o3$17bo$8bo7bo$bo6b2o6b3o$2bo4bobo$
3o5$19b3o$12bobo4bo$3b3o6b2o6bo$5bo7bo$4bo3$4b2o$5b2o$4bo2$8bo$7b2o$7b
obo!
Wiki: http://www.conwaylife.com/wiki/User:Ian07
Discord: lan07 (yes, that's a lowercase L)

xs24_69bobjob96

Chris857
Posts: 672
Joined: June 10th, 2020, 11:26 pm

Re: Synthesising Oscillators

Post by Chris857 » September 30th, 2024, 10:27 pm

Chris857 wrote:
September 14th, 2024, 7:09 pm
Chris857 wrote:
September 8th, 2024, 12:07 am
A p18 unnamed region hassler in 48G.

Edit: down 2G to 46G.
And should be down 5G to 41G.
Down another 2G to 39G.

Code: Select all

x = 342, y = 374, rule = B3/S23
5bo330bo$6bo5bo316bo5bo$4b3o6bo314bo6b3o$11b3o314b3o109$43bo$41bobo$42b
2o35$165b2o8b2o$165b2o8b2o3$166bo8bo$165bobo6bobo$162bo3b2o6b2o3bo$162b
o16bo$162bo16bo3$174b2o$157b2ob2o11bobo4b2ob2o$157b2ob2o12bo5b2ob2o11$
74bo$75bo$73b3o118$5b3o326b3o$7bo326bo$6bo328bo2$3o336b3o$2bo336bo$bo
338bo6$312bo$311b2o$311bobo2$316b3o$316bo$317bo$25b3o$5b3o19bo306b3o$
7bo18bo307bo$6bo328bo3$10b2o318b2o$9bobo318bobo$11bo318bo26$284b2o$283b
2o$285bo2$46b2o$45bobo$47bo14$275bo$274b2o$274bobo3$77b3o$79bo$78bo!

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pifricted
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Re: Synthesising Oscillators

Post by pifricted » September 30th, 2024, 11:14 pm

How to add the blinker in 87 gen?

Code: Select all

# [[ STOP 87 ]]
x = 21, y = 35, rule = LifeHistory
10.A$11.2A$10.2A2$7.2A$6.A.A$8.A5$11.3A$13.A$12.A$13.D.D2.3D$12.D2.D$
7.D4.D2.D$6.D.D3.D.D$5.D2.D4.D$5.D2.D$3D2.D.D$8.A$7.A$7.3A5$12.A$12.A
.A$12.2A2$9.2A$8.2A$10.A!
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

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