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Synthesising Oscillators

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

Re: Synthesising Oscillators

Postby mniemiec » May 19th, 2019, 9:59 pm

Short key and skewed pole reduced from 33 to 13 gliders via soup:
x = 191, y = 50
20bo$21bo$19b3o$23bo$23bobo$23boo$129boo28boo28boo$50bo29bo49bo29bo29b
o$13bo36bo29bo39bo6bobo20bo6bobo20bo6bobo$13bobo34bo29bo38bob3obboo21b
ob3obboo21bob3obboo$13boo105bobbobbo23bobbobbo23bobbobbo$bbo38bo29bo
29bo21bobbo26bobbo26bobbo$obo37bobo27bobo26boo$boo38boo28boo13bobo11b
oo$86boo$3b3o81bo$3bo37bo29bo19bo$4bo36bo29bo17boo$41bo29bo18boo$83bo$
83boo$82bobo28b3o3b3o21b3o3b3o$97bo42boo$96boo19bo23boo4bo$96bobo18bo
22bo6bo$101bo15bo29bo$100boo$100bobo20$70boo$69bobo$71bo!

The add-anvil converter can also grab onto unstable hinges just as boat-bits can,
which gives a few additional cheap still-life-on-anvil sytheses.
(I only did this with the 2-3 glider bases; I'll leave the 4+ glider ones to someone who has more time and better tools).
x = 159, y = 85, rule = B3/S23
19bo39bo39bo39bo$19bobo37bobo37bobo37bobo$19boo38boo38boo38boo3$20bo
39bo39bo39bo$19bo39bo39bo39bo$19b3o37b3o37b3o37b3o$$22boo38boo38boo38b
oo$22bobo37bobo37bobo37bobo$22bo39bo39bo39bo3$35boboo36boboo36boboo36b
oboo$33b3obo35b3obo35b3obo35b3obo$32bo4bo34bo4bo34bo4bo34bo4bo$33b4o
17bobo16b4o36b4o36b4o$54boo$33boo20bo17boo38boo38boo$33boo12b3o22bobo
37bobo5bobo29bobo$49bo23bo38boo7boo28bobo$48bo4boo66bo30bo$52boo$54bo
3$129boo$130boo$129bo$23b3o112boo$23bo77bo36bobo$24bo59bo15boo36bo$3o
81boo14bobo$bbo80bobo$bo$$82bo$82boo$81bobo9$61bo$60bo$19bo40b3o$19bob
o$19boo$$61bo$20bo40bobo$19bo41boo$19b3o$$22boo$22bobo$22bo40b3o$5bo
57bo$6bo57bo$4b3o28boboo36boboo$33b3obo35b3obo$32bo4bo34bo4bo$33b4o36b
4o$48bobo$33boo14boo22boo$32bobo14bo24bo$31bobo39bo$31boo40boo3$56bo$
57bo$55b3o3$56b3o15boo$25b3o30bo15boo$6boo17bo31bo$5bobo18bo$7bo!

EDIT: Trans skewed poles reduced from 20 to 18, from a soup, and then to 14 from another soup:
x = 293, y = 71, rule = B3/S23
255bo$253bobo$254boo$$3bo222boo28boo$3bobo219bobbo26bobbo$3boo32boo28b
oo28boo28boo38boo28boo27boo3bo24boo3bo$6b3o28bobo27bobo27bobo27bobo37b
obo27bobo30bobo27bobo$6bo31boo28boo28boo28boo8bobo27boo28boo30bobo27bo
bo$7bo131boo39bo29bo20bo29bo$139bo39bobo21bo5bobo$4boo174boo19boo7boo
9boo28boo28boo$5boo132b3o60boo17bo29bo29bo$4bo66bobo65bo82bobo27bobo
27bobo$32b3o27b3o6boo19b3o27b3o15bo21b3o27b3o9boo18boo28boo28boo$72bo
116bo14bobo18bobbo26bobbo26bobbo$bo185bobo14bo20bobbo26bobbo26bobbo$b
oo96b3o11bo15b3o37b3o16boo9b3o26boo28boo28boo$obo66bo44bo114bobo27bobo
27bobo$67boo43b3o75boo40bo29bo29bo$68boo82boo28boo7boo38boo28boo28boo$
114bo37bobo27bobo5bo$66bo46boo38bo29bo38bo29bo$67bo26boo17bobo8boo38b
oo28boo25bobo27bobo$65b3o26bobo27bobo37bobo27bobo24bobo27bobo$69boo24b
oo28boo38boo28boo25bo3boo24bo3boo$68bobo154bobbo26bobbo$70bo155boo28b
oo$$258boo$258bobo$258bo10$129bo$127bobo29boo28boo$128boo7bo21boo28boo
$137bobo$128boo7boo20boo28boo$127bobo5bo23boo28boo$129bo3bobo29boo28b
oo$134boo28bobbo26bobbo$165boo28boo$$185bobo33boo28boo28boo$186boo33bo
13boo14bo13boo14bo$186bo35bobo9bobo15bobo9bobo15bobo$206bo17boo9bo10bo
7boo9bo18boo$187boo15boo19bobbo15bobo8bobbo8boo16bobbo$188boo15boo18bo
bbo16boo8bobbo8bobo15bobbo$187bo30bo9boo18bo9boo7bo20boo$207bo9bobo9bo
bo15bobo9bobo27bobo$206boo9boo13bo14boo13bo29bo$206bobo22boo28boo28boo
$$167boo28boo$138boo26bobbo26bobbo$138bobo3bo22boo28boo$138bo5bobo26b
oo28boo$135boo7boo27boo28boo$134bobo$136bo7boo27boo28boo$144bobo26boo
28boo$144bo!
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Re: Synthesising Oscillators

Postby Freywa » May 20th, 2019, 1:02 am

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

I did that (in the sense that I also added it to Shinjuku) in 12 some days ago:
x = 36, y = 40, rule = B3/S23
33bo$33bobo$33b2o2$6bo$7b2o$6b2o18bobo$26b2o$27bo$11bobo$7bo3b2o$
5bobo4bo$6b2o6$6bo$7b2o19b2o$6b2o19b2o$29bo6$28b2o$23bo4bobo$23b2o
3bo$22bobo$8bo$8b2o$7bobo18b2o$27b2o$29bo2$b2o$obo$2bo!

Also, capped AK-94 in 58 gliders by reducing the cost of the Bellman 1 catalyst by two (and skipping the add-boat step). I believe that this oscillator is the smallest known for its period (non-trivial, of course):
x = 704, y = 69, rule = B3/S23
50bo$49bo47bo$49b3o46b2o$97b2o$36bobo$37b2o$37bo57b2o$95b2o2b3o3$
2bo139bo489bobo$obo60bo76bobo490b2o$b2o51bo6b2o78b2o6bo483bo$41b2o
10bobo6b2o83b2o$4b2o34bobo10bobo92b2o488bobo$3bobo36bo11bo45b2o3bo
32b2o3bo53b2o3bo51b2o3bo44b2o3bo50b2o3bo43b2o3bo43b2o3bo45b2o3bo
47b2o3bo71b2o38b2o3bo$5bo95bo2bobo32bo2bobo53bo2bobo51bo2bobo44bo
2bobo50bo2bobo43bo2bobo43bo2bobo45bo2bobo47bo2bobo70bo7bo32bo2bobo
14bo$99bo4b2o31bo4b2o52bo4bobo49bo4bobo42bo4bobo48bo4bobo41bo4bobo
41bo4bobo43bo4bobo45bo4bobo79b2o10bobo15bo4bobo8bo3b2o$99b5o33b5o
4bo49b5obo50b5obo43b5obo49b5obo42b5obo42b5obo44b5obo46b5obo79b2o
12b2o15b5obo7b2o5b2o$103bo37bo3bo54bo56bo49bo55bo48bo48bo50bo52bo
95bo20bo10b2o$50bo48b2o36b2o6b3o48b2o3bo51b2o3bo44b2o3bo50b2o3bo
43b2o3bo43b2o3bo45b2o3bo47b2o3bo86bo17b2o5b2o3bo$49b2o48b2o36b2o
57b2o4bo50b2o4bo43b2o4bo49b2o4bo42b2o4bo42b2o4bo44b2o4bo46b2o4bo
86b2o16bo5b2o4bo$45bo3bobo149b2o55b2o48b2o54b2o47b2o47b2o49b2o51b
2o85b2o17bobo8b2o$45b2o626b2o$44bobo96bo$143bobo413bo$48b2o47bo45b
2o405b2o5bobo$49b2o46bo453b2o5b2o2b2o$48bo48bo42b2o408bo12b2o41bo$
139bobo420bo42bo$141bo371bo91b3o$94b3o417bo$96bo415b3o137b3o$95bo
421bobo84bo49bo$299bo217b2o49b2o32bobo48bo31b2o$300bo217bo49bobo
32b2o80bobo$298b3o52bo106bo109bo116bo$354b2o105bo108b2o84b2o29b2o$
349b2o2b2o104b3o145b2o46bobo$249bo51bo46bobo113bobo141b2o47bo$247b
2o52bo48bo55bo57b2o47b2o51b2o39bo75b2o$248b2o51bo105bo57bo47bobo
50bobo114bobo16b2o$405b3o107bo52bo116bo15b2o$251bobo92b2o62bobo
102b2o51b2o115b2o16bo$251b2o92bobo62b2o45b2o49b2o51b2o115b2o$246bo
bo3bo94bo50b2o11bo35b2o8bobo38b2o8bobo40b2o8bobo104b2o8bobo$247b2o
49b2o54b2o42bo4b2o42bo4b2o5bo38bo4b2o5bo40bo4b2o5bo104bo4b2o5bo$
247bo50b2o54b2o43bo3b2o43bo3b2o5b2o38bo3b2o5b2o40bo3b2o5b2o104bo3b
2o5b2o$295bo55bo48bo48bo50bo52bo116bo$295b5o43b3o5b5o42bob5o42bob
5o44bob5o46bob5o110bob5o$293b2o4bo45bo3b2o4bo41bobo4bo41bobo4bo43b
obo4bo45bobo4bo80b2o27bobo4bo$185bo106bobo2bo46bo3bobo2bo43bobo2bo
43bobo2bo45bobo2bo47bobo2bo81bobo27bobo2bo$183bobo57bo11bo37bo3b2o
50bo3b2o43bo3b2o43bo3b2o45bo3b2o47bo3b2o82bo28bo3b2o$184b2o56bobo
10bobo$234b2o6bobo10b2o$181b2o52b2o6bo97b2o$180bobo51bo107b2o297b
3o$182bo158bo10b2o289bo$352bobo287bo$352bo$297b3o2b2o$260bo41b2o$
259b2o$259bobo$300b2o$246b3o50b2o$248bo52bo333bo$247bo387b2o$634bo
bo!

Obviously, this means the one-barrelled AK-94 is doable in 52:
x = 186, y = 46, rule = B3/S23
169bo$170bo$168b3o$172bo$171bo$15bo66bo80bo7b3o$15b3o64b3o78b3o$9bo8bo
57bo8bo71bo8bo$9b3o5b2o16b2o39b3o5b2o16b2o53b3o5b2o16b2o$12bo17b2o2bo
2bo41bo17b2o2bo2bo55bo17b2o2bo2bo$11b2o17bobo2b2o41b2o17bobo2b2o55b2o
17bobo2b2o$33b2o65b2o79b2o$5bo28bo37bo28bo51bo28bo$5b3o26bob2o34b3o26b
ob2o48b3o11bobo12bob2o$8bo22b2obo2bo37bo22b2obo2bo51bo10b2o10b2obo2bo$
7b2o22b2ob2o38b2o22b2ob2o52b2o11bo10b2ob2o2$168b2o$167b2o$2b2ob2o62b2o
b2o22b2o52b2ob2o14bo7b2o$o2bob2o60bo2bob2o22bo51bo2bob2o22bo$2obo11b2o
50b2obo26b3o48b2obo26b3o$3bo10bobo53bo28bo51bo28bo$3b2o11bo53b2o79b2o$
b2o2bobo60b2o2bobo74b2o2bobo$o2bo2b2o27bo31bo2bo2b2o73bo2bo2b2o$b2o31b
2o32b2o16b2o61b2o16b2o$34bobo49bo80bo$87b3o71b2o5b3o$79bo9bo71b2o7bo$
79b2o$78bobo$84bo$16b2o65b2o$11bo3bobo65bobo$11b2o4bo$10bobo$21b2o$16b
2o3bobo$17b2o2bo$16bo3$25b2o$25bobo$25bo!
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Re: Synthesising Oscillators

Postby Freywa » June 6th, 2019, 5:18 am

Bent key and skewed pole in 10 gliders, down from 28:
x = 89, y = 27, rule = B3/S23
3bobo$4b2o70bo$4bo7bo14bo47bobo9bo$13b2o10b2o47bo2bo8bo$12b2o12b2o58b
3o$74bobo$73b2o9b2o$73b2o9b2o$74bobo2$75bobo$78bo$77b2o3b2o$b2o78bo2bo
$obo79b2o$2bo82b3o$20b3o62bo$20bo65bo$21bo2$77bo$76bobo$76bobo$20b3o
54bo$8bo11bo58b2o$8b2o11bo57bobo$7bobo69bo!
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Re: Synthesising Oscillators

Postby BlinkerSpawn » June 6th, 2019, 7:07 am

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

8 by replacing the teardrop:
x = 89, y = 28, rule = B3/S23
3bobo$4b2o70bo$4bo7bo14bo47bobo9bo$13b2o10b2o47bo2bo8bo$12b2o12b2o58b
3o$74bobo$73b2o9b2o$73b2o9b2o$74bobo2$75bobo$78bo$77b2o$b2o$obo$2bo$
20b3o$20bo$21bo5$3b3o$5bo$4bo20b3o$25bo$26bo!
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Re: Synthesising Oscillators

Postby Freywa » June 7th, 2019, 4:36 am

Bent keys in 8 gliders too:
x = 131, y = 38, rule = B3/S23
83bobo$83b2o$84bo4$42bobo$43b2o$43bo11$50b2o$9bo39bo2bo$obo6bobo
38b2o$b2o6b2o52bobo$bo44bo16b2o$45bobo16bo$9b2o34bobo$8b2o36bo70bo
8bo$10bo53b2o50bob2o4b2obo$65b2o50b4o2b4o$64bo55b4o2$129bo$128bobo
$127bo2bo$128b2o$124b2o$123bobo$125bo!
(This is also my 500th post on the forums.)

Edit: Octagon 3 in 26 gliders:
x = 211, y = 87, rule = B3/S23
195bobo$195b2o$196bo11$124bo$125b2o$124b2o2$168bo$168bobo$163bobo2b2o$
164b2o$164bo8b2o$173bobo$173bo2$18bo148bo$19bo146bobo$17b3o146bobo$
167bo$14b3o$16bo$15bo4$146bo$145bo$145b3o2$34bo132bo23bo$19bo12bobo
107bo24bo21b2o$19bo13b2o108bo23bo22b2o$19bo16bo104b3o6b2o31b2o$36bobo
110bo2bo10b3o3b3o10bo2bo$b2o12b3o3b3o12b2o112b2o31b2o6b3o$obo140b2o22b
o23bo$2bo16bo124b2o21bo24bo$4b2o13bo123bo23bo$4bobo12bo$4bo182b3o$189b
o$188bo6$23bo$22bo144bo$22b3o141bobo$166bobo$19b3o145bo$19bo$20bo140bo
$159bobo$160b2o8bo$169b2o$165b2o2bobo$164bobo$166bo2$209b2o$208b2o$
210bo11$138bo$138b2o$137bobo!
And octagon 5 in 56 gliders:
x = 400, y = 55, rule = B3/S23
368bo$369b2o$139bo228b2o$137b2o$138b2o163bo$302bo67b2ob2o$302b3o
65b2ob2o$232bo66bo$231bo56bo11bo$207b2o22b3o47b2o6bo8b3o$206bo2bo
70bo2bo3b3o$69bo129bo7b2o67b2o3b2o22b2o$69bobo80bo44bobo2b3o27bo
42bobo14bo12bobo$65bo3b2o79b2o46b2o32bo42b2o13b2o14b2o$66bo84b2o
79bo37bo20b2o$64b3o64bobo134bobo$10bo115bobo2b2o101bo34b2o37bo$10b
obo114b2o3bo19b2o79bobo71bobo61b3o$10b2o115bo13bo9b2o80bobo36b2o
33bobo$5bo12bo122bo11bo62b3o15bo36bobo16b3o15bo61bo3bo$3bobo11bo
123bo131bo97bobo$4b2o3bobo5b3o44bo9bo61bo9bo65bo9bo63bo9bo$9b2o52b
obo7bobo5bo53bobo7bobo63bobo7bobo61bobo7bobo72b5o$10bo53bobo5bobo
6bobo52bobo5bobo18bo46bobo5bobo63bobo5bobo11bo60bo5bo21bobo$65bo7b
o7b2o54bo7bo18b2o47bo7bo65bo7bo12bobo57bo7bo20b2o$16b2o36bo109bobo
141b2o40b2o12bo2bo9bo2bo12b2o3bo$bo13b2o3b3o32bo153bo15bo50bobo4bo
15bo5bo44b2o10bo2bobo4bo4bobo2bo10b2o$2bo2bo11bo2bo32b3o27b3o46b3o
13b3o58bo15bo51b2o4bo15bo4b2o56bo4bo3bobo3bo4bo$3o3b2o13bo61bo125b
o15bo51bo5bo15bo4bobo43b2o10bo2bobo4bo4bobo2bo10b2o$5b2o77bo31bobo
154b2o71bo3b2o12bo2bo9bo2bo12b2o$56b2o7bo7bo43b2o18bo7bo67bo7bo50b
obo12bo7bo50b2o20bo7bo$12bo42bobo6bobo5bobo42bo18bobo5bobo65bobo5b
obo51bo11bobo5bobo48bobo21bo5bo$12b2o43bo5bobo7bobo59bobo7bobo63bo
bo7bobo61bobo7bobo72b5o$3b3o5bobo3b2o45bo9bo61bo9bo65bo9bo63bo9bo$
5bo11bobo121bo167bo61bobo$4bo12bo111bo11bo58bo15b3o55bo15b3o16bobo
58bo3bo$11b2o117b2o9bo13bo43bobo71bobo33b2o$10bobo116b2o19bo3b2o
43bobo71bobo95b3o$12bo137b2o2bobo43bo73bo37b2o$72b3o74bobo160bobo$
72bo57b2o70bo87b2o20bo$68b2o3bo57b2o69bo32b2o38b2o14b2o13b2o$67bob
o60bo71bo27b3o2bobo37bobo12bo14bobo$69bo156b2o7bo40b2o22b2o3b2o$
225bo2bo64b3o3bo2bo$201b3o22b2o54b3o8bo6b2o$203bo78bo11bo$202bo80b
o$278b3o89b2ob2o$280bo89b2ob2o$143b2o134bo$144b2o$143bo231b2o$374b
2o$376bo!
Edit 2: Achim's other p16 in 64 gliders:
x = 315, y = 55, rule = B3/S23
188bo24bo18bo$189bo17bo3bobo17bo$187b3o18b2o2b2o17b3o$203b2o2b2o$
119bo65bo10bo5bobo19bo10bo41bo27bo$120bo62bobo8bobo7bo19bobo8bobo
40bo25bo$118b3o6bobo54b2o9b2o27b2o9b2o39b3o25b3o$127b2o$128bo$279b
o23bo$118b2o159bo3bo15bo3bo$119b2o67bo43bo46bo3b2o13b2o3bo$118bo
70bo41bo38bo12b2o13b2o12bo$127b2ob2o55b3o18b2ob2o18b3o34bobo13bo
13bo13bobo$63bobo60bobobobo74bobobobo55b2o16b2o5b2o16b2o$58bo4b2o
61bobobobo74bobobobo59b3o31b3o$59b2o3bo62bo3bo12bobo3bo57bo3bo72bo
11bo$58b2o85b2o3bobo132bo11bo$5bo3bo135bo4b2o134b2o7b2o$6bobo224bo
40b3o29b3o$4b3ob3o47b2ob2o141b2o9b2o17bo40b3o10b2o3b2o10b3o$58b2ob
2o140bobo9bobo14b3o45b2o5bo7bo5b2o$16bo186b2o11b2o64bo17bo$16bobo
49b2o2bobo203bo3bo2bo11bo2bo3bo$16b2o31bo18b2o2b2o42b2o23b2o40b3o
11b2o23b2o10bobo41bo5bo13bo5bo$50b2o21bo41bo2bo21bo2bo5b2o34bo10bo
2bo21bo2bo9b2o48bo13bo$2bo13b2o31b2o17b2o45b3o23b3o4b2o34bo11b3o
23b3o10bo$obo13bobo36b2o11b2o38bo41bo$b2o13bo38b2o17b2o33b2o4b3o
23b3o41bo10b3o23b3o11bo$51bo21b2o33b2o5bo2bo21bo2bo41b2o9bo2bo21bo
2bo10bo48bo13bo$b2o48b2o2b2o18bo40b2o23b2o41bobo10b2o23b2o11b3o40b
o5bo13bo5bo$obo47bobo2b2o221bo3bo2bo11bo2bo3bo$2bo200b2o11b2o64bo
17bo$62b2ob2o119b3o14bobo9bobo62b2o5bo7bo5b2o$8b3ob3o47b2ob2o119bo
17b2o9b2o58b3o10b2o3b2o10b3o$10bobo174bo86b3o29b3o$9bo3bo93b2o4bo
172b2o7b2o$65b2o39bobo3b2o171bo11bo$60bo3b2o42bo3bobo12bo3bo76bo3b
o72bo11bo$60b2o4bo59bobobobo74bobobobo59b3o31b3o$59bobo64bobobobo
74bobobobo55b2o16b2o5b2o16b2o$127b2ob2o55b3o18b2ob2o18b3o34bobo13b
o13bo13bobo$140bo48bo41bo38bo12b2o13b2o12bo$138b2o48bo43bo46bo3b2o
13b2o3bo$139b2o138bo3bo15bo3bo$279bo23bo$130bo$130b2o$129bobo6b3o
43b2o9b2o27b2o9b2o39b3o25b3o$138bo44bobo8bobo19bo7bobo8bobo40bo25b
o$139bo45bo10bo19bobo5bo10bo41bo27bo$212b2o2b2o$187b3o17b2o2b2o18b
3o$189bo17bobo3bo17bo$188bo18bo24bo!
Edit 3: Some gun-based oscillators (p184, p246) and a p92 and a p21 are now in Shinjuku.

Edit 4: p26 glider shuttle in 84 gliders:
x = 804, y = 71, rule = B3/S23
90bo$88b2o$89b2o4$25bo$25b2o3bo50bo$24bobo2b2o46bo3bobo338bo262bo$
29bobo43bobo3b2o6b2o65b2o84b2o103b2o71bobo25b2o9bo72b2o81b2o67bo
14b2o82b2o$76b2o11b2o64bobo83bobo102bobo72b2o24bobo7b2o72bobo80bob
o67b3o11bobo81bobo$150b2o2bo81b2o2bo100b2o2bo96b2o2bo11b2o66b2o2bo
78b2o2bo79b2o2bo79b2o2bo$150bo2bob2o79bo2bob2o98bo2bob2o94bo2bob2o
77bo2bob2o61bo14bo2bob2o77bo2bob2o77bo2bob2o$78bo73b2obobo80b2obob
o99b2obobo95b2obobo18bo59b2obobo58bobo3bobo10b2obobo65b2o11b2obobo
78b2obobo$78b2o76bo85bo104bo100bo9b2o7bo64bo60b2o3b2o15bo65bo2bo
14bo83bo$77bobo3bo374bobo6b3o129bo81bo2bo24bobo$84b2o7b2o363bo223b
2o25b2o$83b2o7bo2bo326bo109bo82bo57bo25bo10bo72bo$93b2o321bobo2bo
109bobo80bobo14bo42b2o22bobo81bobo$299bo76bo40b2o2b3o107b2o81b2o
14bo42b2o23b2o77bobo2b2o$83bo216bo73b2o41bo212b3o145b2o$83b2o43bo
169b3o74b2o401bo$39bo42bobo41bobo225bo417bobo11b2o$38b2o87b2o89bo
104bo28b2o359b2o52bo5b2o11bobo$38bobo165bo10bobo102bobo28b2o2b2o
271b2o80bo2bo49b3o5bo14bo$130b2o75bo9bobo102bobo32bobo269b2o81bo2b
o48bo23b2o$129bobo73b3o10bo104bo23bo9bo10bo262bo81b2o3b2o44b2o$
131bo173bo39bobo19bo162bo187bobo$306b2o7b2o29b2o19b3o46b2o2bo79b2o
2bo4bo19bo53b2o2bo4bo17b2o55b2o2bo4bo17b2o22bo32b2o2bo4bo17b2o$
208b3o94b2o8b2o99bo2bobo78bo2bobo2bobo14bo3b3o51bo2bobo2bobo15bobo
55bo2bobo2bobo15bobo55bo2bobo2bobo15bobo$210bo206bob2o80bob2o4b2o
9bo4b2o57bob2o4b2o16bo57bob2o4b2o16bo57bob2o4b2o16bo11bo$209bo208b
o83bo15bobo3bobo58bo83bo83bo34b2o$419b2o82b2o14b2o65b2o82b2o82b2o
33b2o$420bo83bo25bo56bo14b2o67bo14b2o67bo5b2o7b2o$418bo83bo28b2o
52bo16bobo64bo16bobo64bo8b2o6bobo$418b2o45b2o35b2o17b2o7b2o17b2o
34b2o16bo11bo16b2o35b2o16bo11bo16b2o35b2o6bo9bo11bo9bo6b2o$466bo
53b2o28bo63bobo16bo64bobo16bo64bobo6b2o8bo$464bo57bo25bo66b2o14bo
67b2o14bo67b2o7b2o5bo$464b2o66b2o14b2o81b2o82b2o47b2o33b2o$263bo
202bo59bobo3bobo15bo82bo83bo47b2o34bo$262bo201b2obo58b2o4bo9b2o4b
2obo56bo16b2o4b2obo57bo16b2o4b2obo45bo11bo16b2o4b2obo$262b3o101b2o
8b2o85bobo2bo52b3o3bo14bobo2bobo2bo54bobo15bobo2bobo2bo55bobo15bob
o2bobo2bo55bobo15bobo2bobo2bo$313b3o19b2o29b2o7b2o87bo2b2o54bo19bo
4bo2b2o54b2o17bo4bo2b2o32bo22b2o17bo4bo2b2o55b2o17bo4bo2b2o$169bo
145bo19bobo39bo144bo143bobo$169bobo82bo10b3o46bo10bo9bo23bo227bo
79b2o3b2o115b2o$169b2o82bobo9bo57bobo32bobo227b2o81bo2bo90b2o23bo$
obo250bobo10bo57b2o2b2o28bobo226b2o82bo2bo91bo14bo5b3o$b2o169b2o
80bo74b2o28bo312b2o92bobo11b2o5bo$bo80bobo87bobo153bo438b2o11bobo$
82b2o88bo133b2o74b3o391bo$83bo223b2o73bo84bo118b3o186b2o$306bo76bo
77b3o2b2o52b2o66bo14b2o82b2o23b2o57b2o2bobo$72b2o389bo2bobo50bobo
65bo14bobo81bobo22b2o57bobo$71bo2bo7b2o378bo57bo82bo72bo10bo25bo
57bo$72b2o7b2o343bo249b2o25b2o$83bo3bobo325b3o6bobo192bo55bobo24bo
2bo$87b2o55bo85bo104bo81bo7b2o9bo83bo82bo15b2o3b2o61bo14bo2bo65bo$
88bo54bobob2o80bobob2o99bobob2o76bo18bobob2o78bobob2o77bobob2o10bo
bo3bobo59bobob2o11b2o65bobob2o$144b2obo2bo79b2obo2bo98b2obo2bo94b
2obo2bo77b2obo2bo76b2obo2bo14bo62b2obo2bo77b2obo2bo$146bo2b2o81bo
2b2o100bo2b2o83b2o11bo2b2o79bo2b2o78bo2b2o79bo2b2o79bo2b2o$76b2o
11b2o52bobo83bobo102bobo89b2o7bobo24b2o55bobo80bobo81bobo11b3o67bo
bo$9bobo64b2o6b2o3bobo51b2o84b2o103b2o89bo9b2o25bobo54b2o81b2o82b
2o14bo67b2o$10b2o2bobo66bobo3bo372bo238bo$10bo3b2o69bo$15bo4$76b2o
$77b2o$76bo!
Edit 5: Pre-pulsar shuttle 29 in 31 gliders:
x = 366, y = 56, rule = B3/S23
129bo$130bo6bo$128b3o4bobo55bo$136b2o3bo50bo$140bo51b3o$140b3o46bo
$187bobo$188b2o$199bo66bo7bo52bobo14bo7bo$41bo156bobo64bobo5bobo
52b2o13bobo5bobo$40bo147b2o9bo66bo7bo53bo15bo7bo$40b3o146b2o$37bo
150bo$38bo300bo$36b3o48b2o43b2o17bo44b2o73b2o67bo8b2o$86bo2bo41bo
2bo16bobo41bo2bo71bo2bo64b3o7bo2bo$87b2o43b2o17b2o43b2o73b2o76b2o
2$341b2o$153b3o184bobo$2bo150bo57bo74bo55bo21bo$obo151bo55bobo37bo
34bobo41b2o32bobo$b2o44bo48bo44bo63bo5bo39b2o27bo5bo41bo2bo26bo5bo
$46bobo46bobo30b2o10bobo49b2o10bobo43b2o15b2o10bobo46bo2bo13b2o10b
obo$4b2o40bobo30b3o3bo9bobo30b2o10bobo49b2o10bobo60b2o10bobo47b2o
14b2o10bobo$3bobo41bo33bo2b2o10bo44bo63bo74bo77bo$5bo74bo3bobo67b
2o60bo$132b2o20bobo39b2o18bobo30b3o19b2o76b2o$132b2o20bo41b2o18b2o
33bo19b2o13bo62b2o13bo$250bo34bobo31b2o42bobo$209bo76bo31bobo43bo$
209b2o2b3o104bo32b3o$93bo114bobo2bo141bo$92b2o120bo139bo3b2o$92bob
o263bobo$358bo7$350b2o$273bo75bo2bo$267b2o3b2o75bo2bo11b2o$266bobo
3bobo75b2o11b2o$268bo96bo7$342b3o$344bo$343bo!
And its fourfold variant in 24:
x = 195, y = 61, rule = B3/S23
152bo23bo$150bobo23bobo$151b2o23b2o$154b2o17b2o$154b2o17b2o5$23bo$23bo
bo$23b2o2$20bobo137bo7bo$21b2o136bobo5bobo$21bo138bo7bo$135bo24bo7bo
24bo$136bo24bo5bo24bo$15bo118b3o24b2o3b2o24b3o$16bo$14b3o120b2o18b3o2b
2ob2o2b3o18b2o$26bobo108b2o51b2o$26b2o133b2o3b2o$12bo14bo3bo122bo6bo5b
o6bo$13b2o16bobo120bo6bo5bo6bo$12b2o17b2o115bo5bo19bo5bo$bo145bob2o27b
2obo$2bo145bo2b2o3b3o11b3o3b2o2bo$3o149bobobo15bobobo$4b2o32bo115bo19b
o$5b2o29b2o$4bo32b2o115bo19bo$40b3o109bobobo15bobobo$40bo107bo2b2o3b3o
11b3o3b2o2bo$41bo105bob2o27b2obo$10b2o17b2o117bo5bo19bo5bo$9bobo16b2o
124bo6bo5bo6bo$11bo3bo14bo123bo6bo5bo6bo$15b2o144b2o3b2o$14bobo120b2o
51b2o$26b3o108b2o18b3o2b2ob2o2b3o18b2o$26bo$27bo106b3o24b2o3b2o24b3o$
136bo24bo5bo24bo$135bo24bo7bo24bo$21bo138bo7bo$20b2o137bobo5bobo$20bob
o137bo7bo2$18b2o$17bobo$19bo5$154b2o17b2o$154b2o17b2o$151b2o23b2o$150b
obo23bobo$152bo23bo!
Princess of Science, Parcly Taxel
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Freywa
 
Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

Re: Synthesising Oscillators

Postby Freywa » June 10th, 2019, 1:05 am

Shave off exactly one glider from 44P12.3 (the Eye of Sauron) by going a completely different (soup-based) route. Improvements almost certainly possible and welcome.
x = 740, y = 96, rule = B3/S23
210bo$209bo$209b3o12$686bobo$687b2o$687bo5$179bo$178bo$178b3o$734b
o$78bo655bobo$77bo101bo554b2o$77b3o98bobo524bo$146bo30bo2bo525bo$
12bo74bo56bobo31b2o8bo515b3o$10bobo63bo9bobo56b2o40bobo449bobo3bo$
11b2o61bobo9bo2bo17bo79bo2bo338bo110b2o4bo3bo$15b3o57b2o10b2o17bo
75bo5b2o338bo111bo3b3o2b2o$15bo90b3o73bo28bo65bo38bo211b3o118bobo$
16bo94b2o69bo27bobo3b2o60bo35bobo$111bobo96bo2bo2bobo57b3o36b2o11b
2o59b2o66b2o66b2o189bo$111bo99b2o3bo64b2o44bo2bo43bo13bo2bo64bo2bo
11bo52bo2bo4bo174bo7bobo$281bobo44bobo41bobo14bobo65bobo9b2o54bobo
2b2o175b2o6bobo$205b3o73bo35b2o10bo43b2o15bo67bo11b2o54bo4b2o61bo
111bobo7bo$36bo281b2o64bo67bo67bo74bo$35bo281bo65bobo65bobo65bobo
12bobo56b3o101bo$35b3o337b2o7b2o66b2o66b2o12b2o62bo99bo$320b2o54b
2o71bo67bo17bo3bo44b2o11bo43b2o53b3o12b2o$107b2o99b2o109bobo53bo
72bobo24bo40bobo20bobo41bobo11b3o40bobo10b2o55bobo10b2o$33b2o71bo
2bo97bo2bo64bo2bo42bo4bo2bo57bo2bo58b2o4bo2bo16bobo39b2o4bo2bo12b
2o42bo56bo11bo2bo36b2o16bo11bo2bo$32bobo71bobo98bobo65b4o47b4o48b
2o7b4o64b4o16b2o46b4o8b2o44b2ob4o50b2ob4o8b2o36bobo14b2ob4o8b2o$
34bo72bo100bo64b2o4b2o43b2o4b2o45bobo5b2o4b2o60b2o4b2o10b2o48b2o4b
2o5bo2bo42bo2bo4bo48bo2bo4bo47bo4b3o6bo2bo4bo$274bob2obo45bob2obo
48bo6bob2obo50bo11bob2obo11bobo39bo8bob2obo7bobo42b2obob2obo48b2ob
ob2obo54bo6b2obob2obo10bo$274bob2obo45bob2obo55bob2obo6bo41bobo11b
ob2obo11bo40bobo7bob2obo8bo46bob2obob2o48bob2obob2o50bo10bob2obob
2o6bo$3bo70bo100bo97b2o4b2o43b2o4b2o53b2o4b2o5bobo40b2o10b2o4b2o
51bo2bo5b2o4b2o54bo4bo2bo48bo4bo2bo61bo4bo2bo6b3o4bo$3bobo67bobo
98bobo98b4o47b4o57b4o7b2o37b2o16b4o54b2o8b4o57b4ob2o40b2o8b4ob2o
53b2o8b4ob2o14bobo$3b2o67bo2bo97bo2bo98bo2bo47bo2bo4bo52bo2bo45bob
o16bo2bo4b2o44b2o12bo2bo4b2o55bo41bo2bo11bo54bo2bo11bo16b2o$73b2o
99b2o158bobo65bo35bo24bobo42bobo20bobo38b3o11bobo42b2o10bobo55b2o
10bobo$334b2o64b2o62bo45bo3bo17bo41bo11b2o55b2o68b2o12b3o$3o389b2o
7b2o57b2o52b2o12b2o43bo153bo$2bo335bo53bobo65bobo50bobo12bobo45b3o
149bo$bo334b2o55bo67bo67bo46bo$176b3o93bo53bo10b2o48bo15b2o37b2o
11bo61b2o4bo53bo131bo7bobo$270bobo52bobo58bobo14bobo37b2o9bobo61b
2o2bobo183bobo6b2o$70bo96bo3b2o98b2o52bo2bo57bo2bo13bo38bo11bo2bo
59bo4bo2bo182bobo7bo$68bobo94bobo2bo2bo101b3o48b2o11b2o46b2o66b2o
66b2o184bo$21bo47b2o95b2o3bobo27bo73bo63bobo$22bo50b3o96bo28bo74bo
62bo179b3o112bobo$20b3o52bo17b2o10b2o87b2o5bo319bo113b2o2b3o3bo$
25b2o47bo17bo2bo9bobo85bo2bo323bo114bo3bo4b2o$25bobo65bobo9bo88bob
o40b2o401bo3bobo$25bo68bo100bo8b2o31bobo479b3o$203bo2bo30bo481bo$
102b3o98bobo514bo$104bo99bo485b2o$103bo585bobo$691bo$203b3o$205bo$
204bo5$738bo$737b2o$737bobo12$172b3o$174bo$173bo!

Edit: Also shaved off a glider from monogram:
x = 153, y = 30, rule = B3/S23
46bo$44bobo$45b2o$104b2o$104bobo$47b2o56bo$46b2o$48bo$150bo$150bob
o$150b2o$85bo3bobo54b2o$79bo3bobo3b2o46bo3bo3bo2bo$80b2o2b2o4bo46b
5o4b2o$79b2o58bo$2bo135bobo$obo7b3o31b2o57b2o34bo$b2o7bo32bobo56bo
bo32b5o$6b2o3bo31b2o57b2o33bo3bo$5bobo$7bo$45b3o56b3o3$147bo$146bo
bo$146b2o$150b2o$150bobo$150bo!

Edit 2: A p106 rectifier loop in 57 gliders:
x = 1089, y = 141, rule = B3/S23
737bobo$738b2o$738bo7$760bo$758bobo$759b2o$767bo$767bobo$767b2o$759bob
o154b2o161b2o$618bo135bo4b2o154bo2bo159bo2bo$617bo137b2o3bo154b3o160b
3o$617b3o134b2o18bo$334bo438bo141b5o158b5o$132b2o83b2o102b2o9b2o115b2o
136b2o151b2o24b2o5b3o117b2o20bo4bo135b2o20bo4bo$133bo84bo103bo10b2o
115bo137bo25b3o124bo24b2o126bo23bo2bo135bo23bo2bo$49bo83bobo82bobo101b
obo125bobo135bobo23bo126bobo150bobo21b2obo2bo132bobo21b2obo2bo$49b2o
83b2o83b2o102b2o126b2o10bo125b2o10bo13bo126b2o10bo140b2o15bo8bobobo
132b2o18bo5bobobo$48bobo280b2o129bobo135bobo150bobo154bobo8bobobo151bo
bo4bobobo$53b3o274b2o130b2o136b2o151b2o156b2o7b2ob2o152bo2bo2b2ob2o$
53bo278bo146bo292bo142b3o160b2o$54bo153b2o102b2o126b2o37bobo96b2o151b
2o37b2o4b3o105b2o29bo131b2o$209bo103bo127bo37b2o98bo152bo38b2o3bo108bo
30bo131bo$123bo85bobo101bobo125bobo135bobo150bobo42bo107bobo160bobo$
123b2o85b2o102b2o126b2o136b2o151b2o151b2o161b2o$122bobo352b2o291bo$
127b3o330b2o14b2o120b2o10bo140b2o10bo5b2o133b2o157bo3b2o$127bo332b2o
16bo119b2o9bobo139b2o9bobo4bobo132b2o157b2o2b2o$128bo480b2o151b2o298bo
bo$474b2o$474bobo$474bo3$341b3o$341bo$342bo$223bo$223bobo$223b2o98bo
127bo137bo152bo152bo162bo$322bobo125bobo135bobo150bobo150bobo160bobo$
220b2o100bobo125bobo135bobo150bobo150bobo160bobo$220bobo100bo127bo137b
o152bo43b2o107bo162bo$220bo564b2o$787bo9$1036b2o$1037b2o$1036bo4$650bo
$171bo479b2o$169bobo104bo127bo137bo107b2o43bo152bo162bo$170b2o103bobo
125bobo135bobo150bobo150bobo160bobo$275bobo125bobo135bobo150bobo150bob
o160bobo$167b2o107bo127bo137bo152bo152bo162bo$166bobo$168bo$257bo$258b
o$256b3o3$381bo$379bobo$380b2o$93bo427b2o151b2o$94bo282bo16b2o124bobo
9b2o132bobo4bobo9b2o151b2o161b2o$92b3o283b2o14b2o125bo10b2o133b2o5bo
10b2o151b2o161b2o$97bobo277b2o288bo$97b2o81b2o102b2o126b2o136b2o151b2o
151b2o152bo8b2o$98bo81bobo101bobo125bobo135bobo107bo42bobo150bobo151b
2o7bobo$182bo103bo88b2o37bo137bo108bo3b2o38bo121bo30bo150bobo9bo$bo
180b2o102b2o86bobo37b2o136b2o105b3o4b2o37b2o121bo29b2o161b2o$2bo264bo
108bo288bo160b3o161b2o$3o265b2o122b2o136b2o151b2o134b2ob2o7b2o149b2ob
2o2bo2bo$5bobo259b2o122bobo135bobo150bobo133bobobo8bobo147bobobo4bobo$
5b2o79b2o83b2o102b2o115bo10b2o111bo13bo10b2o140bo10b2o122bobobo8bo15b
2o132bobobo5bo18b2o$6bo79bobo82bobo101bobo125bobo111bo23bobo150bobo
122bo2bob2o21bobo132bo2bob2o21bobo$88bo84bo91b2o10bo127bo109b3o25bo
126b2o24bo125bo2bo23bo135bo2bo23bo$88b2o83b2o91b2o9b2o126b2o136b2o117b
3o5b2o24b2o125bo4bo20b2o135bo4bo20b2o$265bo398bo159b5o158b5o$512b3o
148bo18b2o$514bo162bo3b2o143b3o160b3o$513bo163b2o4bo141bo2bo159bo2bo$
676bobo147b2o161b2o$669b2o$668bobo$670bo$677b2o$677bobo$677bo6$983b2o$
699bo284b2o$698b2o283bo$698bobo23$957bo$957b2o$956bobo!

p202 boojum reflector loop in 51:
x = 1593, y = 243, rule = B3/S23
1292bo$1293b2o$1292b2o6$1300bo276bo$857bo7bo240bo5bo181bobo3bobo
273bobo$858b2o5bobo237bo5bo183b2o3b2o275bo$857b2o6b2o238b3o3b3o
181bo$861bo$862b2o223b2o218b2o273b2o$252b2o175b2o207b2o202b2o17b2o
199b2o23b2o193b2o23b2o248b2o23b2o$253bo176bo208bo203bo219bo41b2o
176bo31b2o241bo31b2o$109bo143bobo174bobo206bobo201bobo217bobo38b2o
177bobo29bo242bobo29bo$109b2o143b2o175b2o207b2o202b2o218b2o40bo
177b2o27bobo243b2o27bobo$108bobo976b2o218b2o4b2o267b2o4b2o$113b3o
971b2o218b2o273b2o$113bo$114bo305b2o207b2o202b2o218b2o218b2o273b2o
$421bo208bo203bo219bo219bo274bo$243bo177bobo43bo162bobo201bobo217b
obo217bobo272bobo$243b2o177b2o33bobo7bobo161b2o34b2obo164b2o34b2ob
o180b2o34b2obo180b2o34b2obo235b2o34b2obo$242bobo213b2o7b2o198b2ob
3o198b2ob3o214b2ob3o214b2ob3o269b2ob3o$247b3o208bo214bo179b2o22bo
195b2o22bo5b2o188b2o22bo246bo3b2o22bo$247bo419b2ob3o180b2o16b2ob3o
196b2o16b2ob3o5b2o189b2o16b2ob3o247b2o2b2o16b2ob3o$248bo419bobo
201bobo217bobo9bo207bobo248bobo21bobo$457b2o209bobo201bobo217bobo
217bobo272bobo$456b2o7b3o187bo13bo203bo219bo219bo274bo$458bo6bo
183bo4b2o$466bo180b2o5bobo$648b2o$453b3o187b3o$455bo187bo$454bo7bo
181bo$461b2o$461bobo382b2o218b2o218b2o273b2o$846b2o218b2o218b2o
273b2o38$1513b2o$1514b2o$1513bo45$734b2o218b2o218b2o273b2o$292bobo
439b2o218b2o218b2o273b2o$293b2o$293bo7bo227bo933bo$300bo229bo932b
2o$300b3o225b3o931bobo$524b2o$289bo227bobo5b2o$290bo6bo220b2o4bo$
288b3o7b2o204bo13bo189bo219bo219bo274bo$297b2o204bobo201bobo217bob
o217bobo272bobo$153bo349bobo201bobo207bo9bobo217bobo272bobo$154bo
346b3ob2o198b3ob2o16b2o189b2o5b3ob2o16b2o196b3ob2o16b2o251b3ob2o
16b2o$152b3o142bo202bo203bo22b2o188b2o5bo22b2o195bo22b2o250bo22b2o
$157bobo127b2o7b2o203b3ob2o198b3ob2o214b3ob2o214b3ob2o269b3ob2o$
157b2o127bobo7bobo33b2o169bob2o34b2o164bob2o34b2o180bob2o34b2o180b
ob2o34b2o235bob2o34b2o$158bo129bo43bobo206bobo201bobo217bobo217bob
o272bobo$334bo208bo203bo219bo219bo274bo$bo332b2o207b2o202b2o218b2o
218b2o273b2o$2bo$3o930b2o218b2o273b2o$5bobo925b2o212b2o4b2o267b2o
4b2o$5b2o139b2o175b2o207b2o202b2o177bo40b2o188bobo27b2o243bobo27b
2o$6bo139bobo174bobo206bobo201bobo177b2o38bobo187bo29bobo242bo29bo
bo$148bo176bo208bo203bo176b2o41bo186b2o31bo241b2o31bo$148b2o175b2o
207b2o183b2o17b2o193b2o23b2o193b2o23b2o248b2o23b2o$718b2o213b2o
218b2o273b2o$720bo$715b2o6b2o183b3o3b3o$714bobo5b2o186bo5bo$716bo
7bo184bo5bo24$1412b2o$1413b2o$1412bo48$1362bo$1362b2o$1361bobo9$
1349b2o5b2o$1348bobo4bobo161b2o$1350bo6bo160b2o$1520bo!

p226 counterpart, which was uploaded to LifeWiki as an image:
x = 742, y = 66, rule = B3/S23
610bo$611b2o$610b2o6$618bo107bo$371bo7bo142bo5bo83bobo3bobo104bobo
$372b2o5bobo139bo5bo85b2o3b2o106bo$371b2o6b2o140b3o3b3o83bo$375bo$
376b2o125b2o120b2o104b2o$58b2o79b2o109b2o104b2o17b2o101b2o23b2o95b
2o23b2o79b2o23b2o$59bo80bo110bo105bo121bo41b2o78bo31b2o72bo31b2o$
11bo47bobo78bobo108bobo103bobo119bobo38b2o79bobo29bo73bobo29bo$11b
2o47b2o79b2o109b2o104b2o120b2o40bo79b2o27bobo74b2o27bobo$10bobo
490b2o120b2o4b2o98b2o4b2o$15b3o485b2o120b2o104b2o$15bo$16bo113b2o
109b2o104b2o120b2o120b2o104b2o$131bo110bo105bo121bo121bo105bo$49bo
81bobo43bo64bobo103bobo119bobo119bobo103bobo$49b2o81b2o33bobo7bobo
63b2o34b2obo66b2o34b2obo82b2o34b2obo82b2o34b2obo66b2o34b2obo$48bob
o117b2o7b2o100b2ob3o100b2ob3o116b2ob3o116b2ob3o100b2ob3o$53b3o112b
o116bo60b2o19b2o22bo76b2o19b2o22bo5b2o69b2o19b2o22bo60b2o15bo3b2o
22bo$53bo46bobo176b2ob3o61b2o19b2o16b2ob3o77b2o19b2o16b2ob3o5b2o
70b2o19b2o16b2ob3o61b2o15b2o2b2o16b2ob3o$54bo46b2o177bobo103bobo
119bobo9bo109bobo79bobo21bobo$101bo7bo57b2o70bo40bobo103bobo119bob
o119bobo103bobo$108bo57b2o7b3o62bo26bo13bo105bo121bo121bo105bo$
108b3o57bo6bo62b3o20bo4b2o$176bo57b2o23b2o5bobo$97bo129bobo5b2o23b
2o$98bo6bo57b3o62b2o4bo20b3o$96b3o7b2o57bo48bo13bo26bo64bo121bo
121bo105bo$105b2o57bo7bo40bobo40bo62bobo119bobo119bobo103bobo$57bo
113b2o40bobo103bobo109bo9bobo119bobo103bobo$58bo112bobo37b3ob2o
100b3ob2o16b2o19b2o70b2o5b3ob2o16b2o19b2o77b3ob2o16b2o19b2o61b3ob
2o16b2o19b2o$56b3o46bo104bo105bo22b2o19b2o69b2o5bo22b2o19b2o76bo
22b2o19b2o60bo22b2o19b2o$61bobo31b2o7b2o105b3ob2o100b3ob2o116b3ob
2o116b3ob2o100b3ob2o$61b2o31bobo7bobo33b2o71bob2o34b2o66bob2o34b2o
82bob2o34b2o82bob2o34b2o66bob2o34b2o$62bo33bo43bobo108bobo103bobo
119bobo119bobo103bobo$142bo110bo105bo121bo121bo105bo$bo140b2o109b
2o104b2o120b2o120b2o104b2o$2bo$3o444b2o120b2o104b2o$5bobo439b2o
114b2o4b2o98b2o4b2o$5b2o43b2o79b2o109b2o104b2o79bo40b2o90bobo27b2o
74bobo27b2o$6bo43bobo78bobo108bobo103bobo79b2o38bobo89bo29bobo73bo
29bobo$52bo80bo110bo105bo78b2o41bo88b2o31bo72b2o31bo$52b2o79b2o
109b2o85b2o17b2o95b2o23b2o95b2o23b2o79b2o23b2o$330b2o115b2o120b2o
104b2o$332bo$327b2o6b2o85b3o3b3o$326bobo5b2o88bo5bo$328bo7bo86bo5b
o6$680bo6bo$674b2o3b2o5b2o$673bobo3bobo4bobo$675bo!
Last edited by Freywa on June 10th, 2019, 8:20 am, edited 1 time in total.
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Re: Synthesising Oscillators

Postby BlinkerSpawn » June 10th, 2019, 8:14 am

Takes another four off of Eye of Sauron:
x = 90, y = 28, rule = B3/S23
83bo$75bobo3b2o$12bo58bo3b2o5b2o$10bobo59b2o2bo$11b2o2bo55b2o$14bo$14b
3o61b2o7bobo$78b2o7b2o$10b2o62b2o12bo$9bobo7bo44bobo6bobo$9bo9bobo43b
2o6bo8b2o$7b2ob4o5b2o44bo5b2ob4o4b2o$bo4bo2bo4bo55bo2bo4bo9bo$2bo3b2ob
ob2obo6b3o39b2o5b2obob2obo7b2o$3o6bob2obob2o3bo42b2o7bob2obob2o5b2o$9b
o4bo2bo4bo40bo9bo4bo2bo$3b2o5b4ob2o51b2o4b4ob2o5bo$2bobo9bo53b2o8bo6b
2o$4bo7bobo61bobo6bobo$12b2o49bo12b2o$63b2o7b2o$7b3o52bobo7b2o$9bo$8bo
2b2o66b2o$11bobo61bo2b2o$11bo56b2o5b2o3bo$69b2o3bobo$68bo!

EDIT: The complete 66-glider synthesis, as of Goldtiger's reduction:
x = 544, y = 96, rule = B3/S23
210bo$209bo$209b3o19$179bo$178bo$178b3o2$78bo$77bo101bo$77b3o98bobo$
146bo30bo2bo190bo$12bo74bo56bobo31b2o8bo182bobo$10bobo63bo9bobo56b2o
40bobo181b2o$11b2o61bobo9bo2bo17bo79bo2bo85bo105bo$15b3o57b2o10b2o17bo
75bo5b2o87bo81bo20b2o$15bo90b3o73bo28bo63b3o79bobo21b2o$16bo94b2o69bo
27bobo3b2o62bobo75b2o79bo53bo$111bobo96bo2bo2bobo61b2o157bobo43bobo3b
2o$111bo99b2o3bo55bo8bo3bo97bo55b2o40bo3b2o5b2o$270bobo11bo75bobo18b2o
99b2o2bo$205b3o63b2o11b3o74b2o19b2o97b2o$36bo317bo6bo$35bo317bobo17bo
114b2o7bobo$35b3o235b2o79b2o16b2o65bo48b2o7b2o$274b2o75bo20bobo51b2o6b
o3b2o44b2o12bo37b2o$107b2o99b2o63bo76bobo72bobo4bobo3bobo33bobo6bobo
50bobo$33b2o71bo2bo97bo2bo74bo2bo62b2o4bo2bo64bo7b2o40b2o6bo8b2o42b3o$
32bobo71bobo98bobo66b2o7b4o68b4o62b2ob4o45bo5b2ob4o4b2o45bo$34bo72bo
100bo66bobo5b2o4b2o64b2o4b2o59bo2bo4bo49bo2bo4bo9bo36b4obo$277bo6bob2o
bo66bob2obo60b2obob2obo42b2o5b2obob2obo7b2o36bo4bob2o$284bob2obo6bo59b
ob2obo63bob2obob2o40b2o7bob2obob2o5b2o31b3obob2obobobo$3bo70bo100bo
107b2o4b2o5bobo56b2o4b2o62bo4bo2bo39bo9bo4bo2bo38bobobob2obob3o$3bobo
67bobo98bobo108b4o7b2o59b4o65b4ob2o45b2o4b4ob2o5bo34b2obo4bo$3b2o67bo
2bo97bo2bo108bo2bo68bo2bo4b2o54b2o7bo47b2o8bo6b2o36bob4o$73b2o99b2o
124bo64bobo47bobo3bobo4bobo55bobo6bobo36bo$298b2o43bobo20bo49b2o3bo6b
2o43bo12b2o47b3o$3o296b2o43b2o16b2o52bo56b2o7b2o51bobo$2bo341bo17bobo
107bobo7b2o52b2o$bo354bo6bo$176b3o108b3o11b2o31b2o19b2o132b2o$289bo11b
obo31b2o18bobo127bo2b2o$70bo96bo3b2o115bo3bo8bo32bo80b2o61b2o5b2o3bo$
68bobo94bobo2bo2bo118b2o120bobo62b2o3bobo$21bo47b2o95b2o3bobo27bo89bob
o64b2o56bo61bo$22bo50b3o96bo28bo94b3o36b2o21bobo$20b3o52bo17b2o10b2o
87b2o5bo94bo39b2o20bo$25b2o47bo17bo2bo9bobo85bo2bo100bo37bo$25bobo65bo
bo9bo88bobo40b2o106b2o$25bo68bo100bo8b2o31bobo104bobo$203bo2bo30bo108b
o$102b3o98bobo$104bo99bo$103bo2$203b3o$205bo$204bo19$172b3o$174bo$173b
o!
Last edited by BlinkerSpawn on June 10th, 2019, 12:53 pm, edited 1 time in total.
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Re: Synthesising Oscillators

Postby Freywa » June 10th, 2019, 8:26 am

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

Another two:
x = 28, y = 28, rule = B3/S23
25bo$25bobo$25b2o5$25bo$12b2o6bo3b2o$11bobo4bobo3bobo$11bo7b2o$9b2ob4o
$8bo2bo4bo$8b2obob2obo$11bob2obob2o$11bo4bo2bo$12b4ob2o$7b2o7bo$bobo3b
obo4bobo$2b2o3bo6b2o$2bo5$b2o$obo$2bo!
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Re: Synthesising Oscillators

Postby Goldtiger997 » June 10th, 2019, 9:53 am

Eye of Sauron reduced by a further 6 gliders:

x = 50, y = 40, rule = B3/S23
37bo$37bobo$37b2o$48bo$25bo20b2o$23bobo21b2o$24b2o2$49bo$26bobo18b2o$
27b2o19b2o$20bo6bo$19bobo17bo$20b2o16b2o$17bo20bobo$16bobo$17b2o4bo2bo
$23b4o$21b2o4b2o$22bob2obo$22bob2obo$21b2o4b2o$23b4o$23bo2bo4b2o$31bob
o$9bobo20bo$10b2o16b2o$10bo17bobo$22bo6bo$2o19b2o$b2o18bobo$o2$24b2o$b
2o21bobo$2b2o20bo$bo$11b2o$10bobo$12bo!
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Re: Synthesising Oscillators

Postby Freywa » June 11th, 2019, 12:02 am

Capped B-52 bomber in 37 gliders:
x = 576, y = 40, rule = B3/S23
176bo$175bo$171bo3b3o$169bobo$170b2o94bo$175bo89bo$173b2o90b3o$174b2o
371bo$52bo492bobo$51bo126bo367b2o$51b3o123bo$177b3o$147b2o110bobo289bo
bo$53b2o92b2o110b2o286bo3b2o$52bobo205bo29b3o255b2o2bo$54bo202bo8b2o
22b3obo252b2o12bobo$137bo117bobo8b2o23bobobo51b2o203bo8b2o$138b2o116b
2o34bo2bo41bo8bobo189b2o11bo10bo$137b2o37b2o115b2o10bo32bo6b3o108b2o
79bobo11b3o$175b2o128bobo28b3o6b2o32b3o73bobo19bo58b3o24b2o$177bo127b
2o41b2o5b2o22b3obo70b3o21bo3bo53b2o24bo2bo4b3o$6bo240b2o91bo6b3o5b2o
23bobobo69b2o20b3ob2o6b3o48b2o5b2o14bo2bo4b3obo$4bobo239bobo90bobo39bo
2bo72b2o5b2o15b2o5b3obo45b3o5b2o15b2o6bobobo$5b2o3bo155b2o80bo90bobo
40b2o72b3o5b2o23bobobo78bo2bo$bo6b2o52bo5b2o96b2o90b2o80bo6b2o141bo2bo
57bo21b2o$obo6b2o50bobo4bobo64b3o18bo5b2o93bo2bo86b2o142b2o45b2o9b2o$b
o60bo7bo9bo56bo17bobo4bobo92bobobo23b2o9b2o158b2o80b2o10b2o$70b2o7b2o
55bo19bo7bo93bob3o22b2o9bobo83b2o72b2o$79bobo82b2o94b3o12bo5b2o13bo84b
obo6bo161bo20b2o$139b2o133bobo4bobo7bo55b2o31b3o6bobo99b2o59b2o18bobo$
140b2o133bo7bo7b2o53bo2bo30b2o7bobo98bobo45b2o11bobo17b3o$139bo143b2o
5bobo53bobobo23b2o7b2o5bo65b2o31b3o45bo2bo30b2o$143b2o202bob3o22b2o6b
3o70bo2bo30b2o46bobobo23b2o7b2o$143bobo203b3o12bo5b2o20b3o60bobobo23b
2o7b2o44bob3o22b2o6b3o$137b3o3bo219bobo4bobo19bo63bob3o22b2o6b3o46b3o
12bo5b2o$139bo224bo7bo9b2o9bo64b3o12bo5b2o73bobo4bobo$138bo233b2o8b2o
88bobo4bobo73bo7bo9b2o$284b3o186bo7bo9b2o70b2o8b2o$286bo194b2o8b2o$
285bo!

The double-barelled gun, thus, can be done in 31:
x = 525, y = 40, rule = B3/S23
125bo$124bo$120bo3b3o$118bobo$119b2o94bo$124bo89bo$122b2o90b3o$123b2o$
bo$o126bo$3o123bo$126b3o$96b2o110bobo$2b2o92b2o110b2o$bobo205bo29b3o$
3bo202bo8b2o22b3obo266bobo$86bo117bobo8b2o23bobobo51b2o212b2o$87b2o
116b2o34bo2bo41bo8bobo189b2o22bo$86b2o37b2o115b2o10bo32bo6b3o108b2o79b
obo$124b2o128bobo28b3o6b2o32b3o73bobo19bo58b3o24b2o$126bo127b2o41b2o5b
2o22b3obo70b3o21bo3bo53b2o24bo2bo4b3o$196b2o91bo6b3o5b2o23bobobo69b2o
20b3ob2o6b3o48b2o5b2o14bo2bo4b3obo$195bobo90bobo39bo2bo72b2o5b2o15b2o
5b3obo45b3o5b2o15b2o6bobobo$115b2o80bo90bobo40b2o72b3o5b2o23bobobo78bo
2bo$11bo103b2o90b2o80bo6b2o141bo2bo57bo21b2o$10bobo71b3o18bo100bo2bo
86b2o142b2o45b2o9b2o$11bo17bo56bo17bobo99bobobo23b2o9b2o158b2o80b2o10b
2o$28b2o55bo19bo101bob3o22b2o9bobo83b2o72b2o$28bobo178b3o12bo20bo84bob
o6bo161bo20b2o$88b2o133bobo14bo55b2o31b3o6bobo99b2o59b2o18bobo$89b2o
133bo15b2o53bo2bo30b2o7bobo98bobo45b2o11bobo17b3o$88bo150bobo53bobobo
23b2o7b2o5bo65b2o31b3o45bo2bo30b2o$92b2o202bob3o22b2o6b3o70bo2bo30b2o
46bobobo23b2o7b2o$92bobo203b3o12bo27b3o60bobobo23b2o7b2o44bob3o22b2o6b
3o$86b3o3bo219bobo26bo63bob3o22b2o6b3o46b3o12bo$88bo224bo17b2o9bo64b3o
12bo80bobo$87bo243b2o88bobo80bo17b2o$233b3o186bo17b2o80b2o$235bo204b2o
$234bo!

I also forgot to show the synthesis of Buckingham's p184, which costs 15:
x = 268, y = 38, rule = B3/S23
175bo$174bo$174b3o82bo$259bobo$254b2o3b2o$253bo2bo$174b2o77bo2bo$173b
2o79b2o$175bo2$228bobo$229b2o34bo$229bo35bobo$251bo13b2o$237bobo10b2o$
237b2o11bobo7bo$232bobo3bo19b2o$233b2o24b2o$233bo3$259b3o$259bo$260bo
2$3bo$3bobo251bo$3b2o251b2o$222b2o32bobo$70b2o69b2o80bo$b2o68bo12bo57b
o77b3o$2o66b3o13bobo52b3o78bo$2bo65bo15b2o53bo93b2o$152b2o80bo$153bo
77b3o$82b2o66b3o78bo$81b2o67bo$83bo!
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Re: Synthesising Oscillators

Postby AbhpzTa » June 14th, 2019, 7:29 pm

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

Another two:
x = 28, y = 28, rule = B3/S23
25bo$25bobo$25b2o5$25bo$12b2o6bo3b2o$11bobo4bobo3bobo$11bo7b2o$9b2ob4o
$8bo2bo4bo$8b2obob2obo$11bob2obob2o$11bo4bo2bo$12b4ob2o$7b2o7bo$bobo3b
obo4bobo$2b2o3bo6b2o$2bo5$b2o$obo$2bo!


Another four:
x = 32, y = 38, rule = B3/S23
31bo$29b2o$30b2o2$18bobo$19b2o$19bo$22bobo$17bo4b2o$18bo4bo$16b3o8bo$
25b2o$26b2o$14b2o13b2o$13bobo13bobo$13bo15bo$11b2ob4o6b2o$10bo2bo4bo5b
obo$10b2obob2obo5bo$7bo5bob2obob2o$5bobo5bo4bo2bo$6b2o6b4ob2o$2bo15bo$
obo13bobo$b2o13b2o$4b2o$5b2o$4bo8b3o$8bo4bo$8b2o4bo$7bobo$12bo$11b2o$
11bobo2$2o$b2o$o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Synthesising Oscillators

Postby mniemiec » June 19th, 2019, 6:43 pm

On Sunday, I concocted this Rube-Goldberg converter to edge-shoot a hook-with-tail tines-first. I'm not sure how useful it will turn out to be. (I originally experimented with this years ago, without success, trying to build the trans 16-bit pseudo-still-lifes with two of these touching, but this particular mechanism isn't suitable for either the cis- or trans- form). It did solve 3 of the unsolved 19-bit quasi-still-lives. I'm sure the 7-glider pre-block from above or the 5-glider spark from the left can probably be greatly improved:
x = 148, y = 53, rule = B3/S23
14boo$14b3o$14b3o$13boboo$13b3o$14bo5$20boo$21boo$20bo3bobo35boo$24boo
36boo$25bo3$24bobo$25boo$25bo$7bo33bo$8bo27bo4bobo$obo3b3o27bobobboo$b
oo33boo$bo$$39bo$38bo$38b3o11$60boo18bobobo15boo18boo18boo$22bo38bo39b
o19bo19bo$16boo3bobo37boboo36boboo16boboo16boboo$16boo4bo39bobo37bobo
17bobo17bobo$$101bo17boo20bo$100boboboo13bo4bo15boboboo$99bobboobo14bo
bbobo15bo3bo$99boo20bobbo20bobo$122boo22boo$$41boo$41bobo$41bo!

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

This is theoretically possible with the bottom mechanism; unfortunately, I haven't been able to find a way to get two of them back to back without incoming gliders interfering with each other. (It's basically lom+traffic-light+blinker; making the lom from block+loaf seems best for not crossing the line of induction).
x = 139, y = 81, rule = B3/S23
63bo$64boo$63boo$67bobo$67boo$68bo$$50bo$51bo7bobo34bo$49b3o8boo29b4o
3bo$60bo33bo3bo$98bo$21boo48boo22bo$3o18boo38boo8boo23boo$bbo59boo$bo
59bo$3b3o$3bo17bo26boo21bo$4bo15bobo24bobo13boo5bobo$3o17bobo26bo14boo
4bobo47boo$bbo18bo41bo7bo48boo$bo$$34boo$35boo$34bo$$51boo$50boo$52bo
18$81b3o$81bo$82bo5$68boo$67bobo$67bo$66boo6$69b3o8bo$69bo9bo$70bo8b3o
3$60b3o12bobo18bo39bo$75boo14b4o3bo12bobobo15b4o3bo$76bo17bo3bo35bo3bo
$65boo31bo39bo$65boo28bo39bo$77bo18boo38boo$76boo$76bobo57boo$135bo$
138bo$134bo3bo$131b4o3bo$136bo!
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Re: Synthesising Oscillators

Postby mniemiec » July 1st, 2019, 12:02 pm

Four 18-bit P2s from soups:
18p2-253 (xp2_07g60922z2240307) from 22. I'm fairly sure the broken hat can be made from 5 gliders instead of 3; unfortunately, it's a methuselah I never kept track of. I'm sure somebody has a better way of making it.
x = 254, y = 92, rule = B3/S23
129bo$129bobo$129boo26$89bobo$17bo71boo4bo$17bobo70bo3bobo$17boo66bo8b
obo$86bobb3obooboo$84b3o4bo$13boo75bo$11bobobo$9bobobo$10boo168bo$179b
obo$179boo$$77bo7boo21bo71bo$78bo7boo19bo59bo3bo7boo66bo3bo$76b3o6bo
17bo3b3o57bobobboo5bobo65bobobboo$102bo59boo3bobo77bobo$102b3o57boo7bo
79bo$75b3o90bo7boo70bo$77bo92bobo3boo72bobo$70b3o3bo17bo6b3o54bobo5boo
bbobo73boobbobo$72bo19boo7bo57boo7bo3bo75bo3bo$71bo21boo7bo56bo$$159b
oo$158bobo$8boo149bo$6bobobo$4bobobo$5boo82bo$88bo4b3o$82booboob3obbo$
boo80bobo8bo$obo80bobo3bo$bbo81bo4boo$88bobo26$49boo$48bobo$50bo!

18p2-421 (xp2_4l11488zw224ggl4) from 20.
x = 198, y = 73, rule = B3/S23
131bo$129boo$130boo22$bo$bbo151bo$3o64bo84boo$60boo3bobo52boo31boo$bbo
57bobo3boo52bobo39bo$boo58bo59bo40bobo$bobo63bo12bo46boo26boo5boo$67b
oo9bobo45bobbo24boo$66bobo10boo45bobbo26bo33bo$82bo44boo59bobobo$82bob
o56boo45bo5bo$82boo56bobbo44bo5bo$123boo16boo47bo4bo$62boo58bobbo65bo
5bo$61bobo59boo66bo5bo$63bo73boo54bobobo$65boo10bobo29bo26bobbo55bo$
65bobo9boo31boo24bobbo$22bobo40bo12bo23boo5boo26boo$23boo59bo16bobo40b
o$23bo54boo3bobo17bo39bobo$78bobo3boo25boo31boo$23b3o52bo33boo$23bo87b
o$24bo22$134boo$135boo$134bo!

18p2-444 (xp2_e0j0288zw2280p0e) from 20, but clean up could probably be improved.
x = 240, y = 47, rule = B3/S23
136bo$134bobo$135boo$138bo$137bobo$137bobo$138bo22bo$85bo74bo$83boo48b
oo25b3o$79bobobboo46bobbo21boo$80boo51boo21bobbo$80bo76boo13bo$75b3o
94bobo$bbo124bo44boo$obo21bo48bo5bo47boo4boo$boobboo15bobo48bo5bo13boo
31bobo3bobbo34boo$4bobo16boob3o44bo5bo12bobbo37boo3b3o29boo$6bo19bo66b
obo$27bo47b3o16bo$161b3o67b3o$$160boobbobo63boobbobo$166bo69bo$161bo6b
o62bo6bo$163bo69bo$163bobobboo63bobobboo$$166b3o67b3o$22bo72bo16b3o$
23bo19bo50bobo$21b3oboo16bobo48bobbo12bo5bo41boo29b3o3boo$25bobo15boo
bboo46boo13bo5bo41boo34bobbo3bobo$25bo21bobo60bo5bo78boo4boo$47bo108b
oo44bo$112b3o40bobo$109bo47bo13boo$108boo60bobbo21boo$104boobbobo60boo
21bobbo$105boo60b3o25boo$104bo64bo$168bo22bo$190bobo$190bobo$191bo$
193boo$193bobo$193bo!

18p2-379 (xp2_70q13zwogb0s) from 32, but clean up could probably be improved.
x = 261, y = 79, rule = B3/S23
192bo$191bo$191b3o12$205bo$203bobo$134bo69boo$133bo$133b3o70boo$131bo
74boo$132bo$130b3o33bo4boo$167boobboo$166boo$92bo$90boo73bo$91boo47bo
24boo$86bobo52bo22bobo$87boo50b3o$54bo32bo55bo$55bo86bo$53b3o86b3o37b
oo$57bo72b3o37b3o9boo$57bobo$57boo170bo$45b3o6bo30b3o37b3o37b3o61bobo$
6bo45boo40bo39bo39bo36b3o15boo20b3o$4bobo36bo5bo3boo9b3o16bo10bo9b3o
16bo10bo9b3o16bo10bo9b3o$boobboo22bo13bo5bo33bo10bo28bo10bo28bo10bo28b
o8boboo3boo7bo23boboo3boo$obo26bobo11bo5bo12bo5bo14bo24bo14bo24bo14bo
24bo14bo7bo8bo7bo22bo8bo$bbo22boobboo31bo5bo28bo10bo28bo10bo28bo10bo
14bo7boo3boobo8bo22boo3boobo$25bobo17b3o9boo3bo5bo16b3o9bo10bo16b3o9bo
10bo16b3o9bo10bo$25bo32boo37bo39bo39bo23boo15b3o37b3o$57bo6b3o37b3o37b
3o37b3o13bobo$53boo147bo$52bobo$54bo84b3o26boo9b3o$56b3o68b3o38boo$56b
o72bo$57bo46bo23bo$103boo25b3o$103bobo24bo54bobo$99boo30bo53boo$100boo
84bo$99bo$184boo$179boobboo$139b3o37boo4bo$139bo$140bo83boo$136b3o85b
oo$138bo$137bo88boo$226bobo$226bo12$158b3o$160bo$159bo!
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Re: Synthesising Oscillators

Postby dvgrn » July 1st, 2019, 5:34 pm

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

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

x = 411, y = 61, rule = B3/S23
242bobo$243b2o$243bo5$194bo$193bo$193b3o$191bo$192bo$190b3o73bo4b2o$
267b2o2b2o$266b2o$132bo$130b2o133bo$131b2o67bo64b2o$126bobo72bo62bobo$
127b2o70b3o$74bo52bo75bo$75bo126bo$73b3o126b3o77b2o$77bo112b3o77b3o9b
2o$77bobo$77b2o290bo$65b3o6bo50b3o57b3o77b3o101bobo$6bo65b2o60bo59bo
79bo76b3o15b2o30b3o$4bobo56bo5bo3b2o9b3o36bo10bo9b3o36bo10bo9b3o56bo
10bo9b3o$b2o2b2o22bo33bo5bo53bo10bo48bo10bo68bo10bo68bo8bob2o3b2o7bo
33bob2o3b2o$obo26bobo31bo5bo12bo5bo34bo24bo34bo24bo54bo24bo54bo7bo8bo
7bo32bo8bo$2bo22b2o2b2o51bo5bo48bo10bo48bo10bo68bo10bo54bo7b2o3b2obo8b
o32b2o3b2obo$25bobo37b3o9b2o3bo5bo36b3o9bo10bo36b3o9bo10bo56b3o9bo10bo
$25bo52b2o57bo59bo79bo63b2o15b3o47b3o$77bo6b3o57b3o57b3o77b3o53bobo$
73b2o267bo$72bobo$74bo124b3o66b2o9b3o$76b3o108b3o78b2o$76bo112bo$77bo
66bo43bo$143b2o45b3o$143bobo44bo94bobo$139b2o50bo93b2o$140b2o144bo$
139bo$284b2o$279b2o2b2o$199b3o77b2o4bo$199bo$200bo$196b3o$198bo$197bo
5$308bo$307b2o$307bobo!
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Re: Synthesising Oscillators

Postby wildmyron » July 2nd, 2019, 12:51 am

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

Yes, the 3G collision search database has several methods of making broken hat. Here's one that fits nicely:
x = 88, y = 96, rule = B3/S23
85bobo$85b2o$86bo23$51bo$51bobo$51b2o3$47bo$36bo8bobo$37b2o7b2o2bo$36b
2o12bobo$50b2o7$28bo36bo$29b2o32b2o$28b2o30bo3b2o$58b2o$37b2o20b2o$36b
obo$38bo$49bo$49bobo$27b2o20b2o$28b2o$22b2o3bo30b2o$23b2o32b2o$22bo36b
o7$36b2o$35bobo12b2o$37bo2b2o7b2o$40bobo8bo$40bo3$35b2o$34bobo$36bo23$
bo$b2o$obo!
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
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Re: Synthesising Oscillators

Postby mattiward » July 7th, 2019, 5:08 pm

mniemiec wrote:Four 18-bit P2s from soups:
18p2-253 (xp2_07g60922z2240307) from 22. I'm fairly sure the broken hat can be made from 5 gliders instead of 3; unfortunately, it's a methuselah I never kept track of. I'm sure somebody has a better way of making it.
x = 254, y = 92, rule = B3/S23
129bo$129bobo$129boo26$89bobo$17bo71boo4bo$17bobo70bo3bobo$17boo66bo8b
obo$86bobb3obooboo$84b3o4bo$13boo75bo$11bobobo$9bobobo$10boo168bo$179b
obo$179boo$$77bo7boo21bo71bo$78bo7boo19bo59bo3bo7boo66bo3bo$76b3o6bo
17bo3b3o57bobobboo5bobo65bobobboo$102bo59boo3bobo77bobo$102b3o57boo7bo
79bo$75b3o90bo7boo70bo$77bo92bobo3boo72bobo$70b3o3bo17bo6b3o54bobo5boo
bbobo73boobbobo$72bo19boo7bo57boo7bo3bo75bo3bo$71bo21boo7bo56bo$$159b
oo$158bobo$8boo149bo$6bobobo$4bobobo$5boo82bo$88bo4b3o$82booboob3obbo$
boo80bobo8bo$obo80bobo3bo$bbo81bo4boo$88bobo26$49boo$48bobo$50bo!

18p2-421 (xp2_4l11488zw224ggl4) from 20.
x = 198, y = 73, rule = B3/S23
131bo$129boo$130boo22$bo$bbo151bo$3o64bo84boo$60boo3bobo52boo31boo$bbo
57bobo3boo52bobo39bo$boo58bo59bo40bobo$bobo63bo12bo46boo26boo5boo$67b
oo9bobo45bobbo24boo$66bobo10boo45bobbo26bo33bo$82bo44boo59bobobo$82bob
o56boo45bo5bo$82boo56bobbo44bo5bo$123boo16boo47bo4bo$62boo58bobbo65bo
5bo$61bobo59boo66bo5bo$63bo73boo54bobobo$65boo10bobo29bo26bobbo55bo$
65bobo9boo31boo24bobbo$22bobo40bo12bo23boo5boo26boo$23boo59bo16bobo40b
o$23bo54boo3bobo17bo39bobo$78bobo3boo25boo31boo$23b3o52bo33boo$23bo87b
o$24bo22$134boo$135boo$134bo!

18p2-444 (xp2_e0j0288zw2280p0e) from 20, but clean up could probably be improved.
x = 240, y = 47, rule = B3/S23
136bo$134bobo$135boo$138bo$137bobo$137bobo$138bo22bo$85bo74bo$83boo48b
oo25b3o$79bobobboo46bobbo21boo$80boo51boo21bobbo$80bo76boo13bo$75b3o
94bobo$bbo124bo44boo$obo21bo48bo5bo47boo4boo$boobboo15bobo48bo5bo13boo
31bobo3bobbo34boo$4bobo16boob3o44bo5bo12bobbo37boo3b3o29boo$6bo19bo66b
obo$27bo47b3o16bo$161b3o67b3o$$160boobbobo63boobbobo$166bo69bo$161bo6b
o62bo6bo$163bo69bo$163bobobboo63bobobboo$$166b3o67b3o$22bo72bo16b3o$
23bo19bo50bobo$21b3oboo16bobo48bobbo12bo5bo41boo29b3o3boo$25bobo15boo
bboo46boo13bo5bo41boo34bobbo3bobo$25bo21bobo60bo5bo78boo4boo$47bo108b
oo44bo$112b3o40bobo$109bo47bo13boo$108boo60bobbo21boo$104boobbobo60boo
21bobbo$105boo60b3o25boo$104bo64bo$168bo22bo$190bobo$190bobo$191bo$
193boo$193bobo$193bo!

18p2-379 (xp2_70q13zwogb0s) from 32, but clean up could probably be improved.
x = 261, y = 79, rule = B3/S23
192bo$191bo$191b3o12$205bo$203bobo$134bo69boo$133bo$133b3o70boo$131bo
74boo$132bo$130b3o33bo4boo$167boobboo$166boo$92bo$90boo73bo$91boo47bo
24boo$86bobo52bo22bobo$87boo50b3o$54bo32bo55bo$55bo86bo$53b3o86b3o37b
oo$57bo72b3o37b3o9boo$57bobo$57boo170bo$45b3o6bo30b3o37b3o37b3o61bobo$
6bo45boo40bo39bo39bo36b3o15boo20b3o$4bobo36bo5bo3boo9b3o16bo10bo9b3o
16bo10bo9b3o16bo10bo9b3o$boobboo22bo13bo5bo33bo10bo28bo10bo28bo10bo28b
o8boboo3boo7bo23boboo3boo$obo26bobo11bo5bo12bo5bo14bo24bo14bo24bo14bo
24bo14bo7bo8bo7bo22bo8bo$bbo22boobboo31bo5bo28bo10bo28bo10bo28bo10bo
14bo7boo3boobo8bo22boo3boobo$25bobo17b3o9boo3bo5bo16b3o9bo10bo16b3o9bo
10bo16b3o9bo10bo$25bo32boo37bo39bo39bo23boo15b3o37b3o$57bo6b3o37b3o37b
3o37b3o13bobo$53boo147bo$52bobo$54bo84b3o26boo9b3o$56b3o68b3o38boo$56b
o72bo$57bo46bo23bo$103boo25b3o$103bobo24bo54bobo$99boo30bo53boo$100boo
84bo$99bo$184boo$179boobboo$139b3o37boo4bo$139bo$140bo83boo$136b3o85b
oo$138bo$137bo88boo$226bobo$226bo12$158b3o$160bo$159bo!

18p2-253 from 18. Broken hats not necessary.
x = 153, y = 88, rule = B3/S23
37bo$38bo$36b3o30$136bo4bo$135bobob2o$136b2o2b2o$61bobo$3bo20b2o36b2o
4bobo13b2o58b2o$bobo2b2o16bobo3bo31bo6b2o13bobo57b2o$2b2ob2o18bo4bobo
36bo15bo$7bo22b2o35bo$67b2o72bo$30bo35bobo20b2o50bo3b3o$29b2o57bo2bo
48bo2bo$29bobo45b2o9bo2bo53b2o$16bobo57bo2bo9b2o50b2o$17b2o57bo2bo64bo
2bo$17bo59b2o20bobo38b3o3bo$99b2o45bo$o15b2o82bo$b2ob2o9bobo4bo59bo15b
o$2o2bobo10bo3bobo57bobo13b2o6bo36b2o$4bo17b2o58b2o13bobo4b2o36b2o$
104bobo$146b2o2b2o$147b2obobo$146bo4bo30$129b3o$129bo$130bo!
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Re: Synthesising Oscillators

Postby mattiward » July 7th, 2019, 5:30 pm

Period 246 gun from 19 gliders.
x = 254, y = 54, rule = B3/S23
40bo$41bo$39b3o6$34bobo92bo96bo$2bo31b2o93b3o20bo2bo70b3o$obo32bo96bo
19bo76bo19bo$b2o128b2o18bo4bo71b2o18bob4o$36b3o111bobo2b2o90bobob3o$
36bo111b2obo94bobo$37bo209bo$52bo194b2o$53bo94bo2bo95b2o$51b3o96b2o95b
2o$55b3o$57bo$56bo5$235bo$48b3o182bobo2b2o$28bo21bo183b2ob2o$26b2o21bo
189bo$27b2o201bobo$231b2o$231bo4$19bo4bo$20b2ob2o118bo$19b2o2bobo94b2o
21bobo71b2o20b2o$120b2o21b2o72bo2bo18b2o$120b2o$121bo23b3o$120bobo22bo
71bob2o$115b3obobo24bo65b2o2bobo$115b4obo91bo4bo$76b2o41bo17bo78bo$75b
2o59bo76bo2bo$77bo58b3o$231b2o$135bo96bo$134b2o93b3o$134bobo92bo$36b2o
$35b2o$37bo!


Related period 246 oscillator from 17 gliders.
x = 157, y = 54, rule = B3/S23
40bo$41bo$39b3o6$34bobo92bo$2bo31b2o93b3o$obo32bo96bo19bo$b2o128b2o18b
ob4o$36b3o111bobob3o$36bo112bobo$37bo112bo$52bo97b2o$53bo96b2o$51b3o
96b2o$55b3o$57bo$56bo5$138bo$48b3o85bobo2b2o$28bo21bo86b2ob2o$26b2o21b
o92bo$27b2o104bobo$134b2o$134bo4$19bo4bo$20b2ob2o$19b2o2bobo94b2o$120b
o2bo2$40bo$41bo78bob2o$39b3o73b2o2bobo$115bo4bo18b2o$42bo33b2o41bo19bo
$42b2o31b2o39bo2bo20b3o$41bobo33bo64bo5$36b2o$35b2o$37bo!


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

Postby Ian07 » July 7th, 2019, 5:42 pm

mattiward wrote:Related period 246 oscillator from 17 gliders.
x = 157, y = 54, rule = B3/S23
40bo$41bo$39b3o6$34bobo92bo$2bo31b2o93b3o$obo32bo96bo19bo$b2o128b2o18b
ob4o$36b3o111bobob3o$36bo112bobo$37bo112bo$52bo97b2o$53bo96b2o$51b3o
96b2o$55b3o$57bo$56bo5$138bo$48b3o85bobo2b2o$28bo21bo86b2ob2o$26b2o21b
o92bo$27b2o104bobo$134b2o$134bo4$19bo4bo$20b2ob2o$19b2o2bobo94b2o$120b
o2bo2$40bo$41bo78bob2o$39b3o73b2o2bobo$115bo4bo18b2o$42bo33b2o41bo19bo
$42b2o31b2o39bo2bo20b3o$41bobo33bo64bo5$36b2o$35b2o$37bo!


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


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

Postby Freywa » July 11th, 2019, 5:09 am

Double X in 91 gliders:
x = 864, y = 193, rule = B3/S23
268bo$269b2o$268b2o$273bo3bobo$274bo2b2o$272b3o3bo$370bobo122bobo$
370b2o95bo28b2o$371bo95bo2b2o24bo70b3o3bo27b3o3bo138b4o30b4o$381b
2o5b2o61b2o13bo5bo5b2o5b2o73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o
107b2o14bo2b2o6b2o5b2o14bo2b2o6b2o$364bobo14b2o5b2o61b2o14bobo2b2o
4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o107b2o15bo
2b2o5b2o5b2o15bo2b2o5b2o$365b2o3bo96bo3b2o24bo3b2o62b2o3bo2bo25b2o
3bo2bo139bo2bo30bo2bo$365bo4bobo96b3o23bobo4bo63bo3b3o27bo3b3o141b
2o32b2o$370b2o80b2o3b2o37b2o234bo3bo29bo3bo$451bo2bobo2bo9b3o94bo
3b3o27bo3b3o124bobobobo10b2o15bobobobo10b2o$450bo9bo6bo3b2o92b2o3b
o2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo$449b2o9b
2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo120b2o7b2o7bo2b2o11b2o7b2o7bo2b
2o$450bo9bo5bo5bo92b5o2bobo24b5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2b
obo2b2o6bo2b2o$451bo2bobo2bo7bo2b2o95b3o3bo27b3o3bo123bobobobo8b4o
15bobobobo8b4o$452b2o3b2o8bo264bo3bo29bo3bo3$737b2o$736b2o$738bo3$
339bo188bo$339b2o186b2o127bobo119b3o$338bobo186bobo127b2o121bo$
657bo121bo2$398bo70bo$397b2o70b2o278bo109bo$397bobo68bobo186bobo
88b2o108bo$658b2o88bobo107b3o$658bo3$668bo98b2o89bo$669b2o95bobo
88bo$668b2o98bo88b3o4$669bo90b2o85bo$670b2o87b2o86bobo$669b2o90bo
85b2o4$679bobo73b3o88bo$680b2o75bo88bobo$680bo75bo89b2o3$772bo63bo
$680bobo88b2o62bo$681b2o88bobo61b3o$681bo3$691bo52b2o89bo$692b2o
49bobo88bo$691b2o52bo88b3o4$692bo90b2o39bo$693b2o87b2o40bobo$692b
2o90bo39b2o4$702bobo27b3o88bo$703b2o29bo88bobo$703bo29bo89b2o3$
795bo17bo$703bobo88b2o16bo$704b2o88bobo15b3o$704bo3$714bo6b2o89bo$
715b2o3bobo88bo$714b2o6bo88b3o4$715bo85bo4b2o$716b2o83bobob2o$715b
2o84b2o4bo4$725bobo$726b2o$726bo9$564bo53bo$565bo51bo$563b3o51b3o
115b2o49b2o$735b2o49b2o$101bobo49bobo$101b2o51b2o404b3o57b3o$102bo
51bo407bo57bo$561bo59bo2$42bobo167bobo$43b2o167b2o$43bo169bo2$723b
2o$722bobo$724bo3$718b2o$11bo125b2o3b2o8bo213bo8b2o3b2o18bo8b2o3b
2o36b2o3b2o8bo18b2o3b2o8bo217b2o11bo3bo29bo3bo33b2o$9b2o125bo2bobo
2bo7bo2b2o95b3o3bo27b3o3bo69b2o2bo7bo2bobo2bo13b2o2bo7bo2bobo2bo
34bo2bobo2bo7bo2b2o13bo2bobo2bo7bo2b2o61b3o3bo27b3o3bo110bo12bobob
obo8b4o15bobobobo8b4o19b2o$10b2o123bo9bo5bo5bo92b5o2bobo24b5o2bobo
67bo5bo5bo9bo11bo5bo5bo9bo32bo9bo5bo5bo11bo9bo5bo5bo58b5o2bobo24b
5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2bobo2b2o6bo2b2o20bo$obo3bo127b
2o9b2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo66b2o2bobo5b2o9b2o9b2o2bobo
5b2o9b2o30b2o9b2o5bobo2b2o9b2o9b2o5bobo2b2o56b2o3b2o3bo23b2o3b2o3b
o120b2o7b2o7bo2b2o11b2o7b2o7bo2b2o$b2o2bo129bo9bo6bo3b2o92b2o3bo2b
o25b2o3bo2bo68b2o3bo6bo9bo11b2o3bo6bo9bo32bo9bo6bo3b2o11bo9bo6bo3b
2o58b2o3bo2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo$
bo3b3o128bo2bobo2bo9b3o94bo3b3o27bo3b3o70b3o9bo2bobo2bo13b3o9bo2bo
bo2bo34bo2bobo2bo9b3o13bo2bobo2bo9b3o60bo3b3o27bo3b3o124bobobobo
10b2o15bobobobo10b2o24b3o$74b2o61b2o3b2o37b2o192b2o3b2o27b2o3b2o
36b2o3b2o27b2o3b2o218b3o18bo3bo29bo3bo37bo$69bo4bobo77b3o23bobo4bo
63bo3b3o27bo3b3o70b3o31b3o70b3o31b3o60bo3b3o27bo3b3o106bo34b2o32b
2o25bo$69b2o3bo77bo3b2o24bo3b2o62b2o3bo2bo25b2o3bo2bo68b2o3bo28b2o
3bo66bo3b2o28bo3b2o58b2o3bo2bo25b2o3bo2bo104bo34bo2bo30bo2bo$68bob
o14b2o5b2o42b2o14bobo2b2o4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b
2o3b2o3bo12b2o46b2o4b2o2bobo14b2o5b2o4b2o2bobo14b2o34b2o14bobo2b2o
4b2o5b2o14bobo2b2o4b2o46b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o
107b2o15bo2b2o5b2o5b2o15bo2b2o5b2o$85b2o5b2o42b2o13bo5bo5b2o5b2o
73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o46b2o5bo5bo13b2o5b2o5bo5bo13b
2o34b2o13bo5bo5b2o5b2o13bo5bo5b2o46b2o3b5o2bobo12b2o5b2o3b5o2bobo
12b2o84bo22b2o14bo2b2o6b2o5b2o14bo2b2o6b2o$75bo76bo2b2o24bo70b3o3b
o27b3o3bo69b2o2bo29b2o2bo66bo2b2o29bo2b2o61b3o3bo27b3o3bo99b2o37b
4o30b4o32bo$74b2o76bo28b2o183bo33bo66bo33bo204bobo106b2o$74bobo
103bobo632bobo3$820b2o$700b2o118bobo$699bobo118bo$701bo3$695b2o$
696b2o129b2o$695bo130b2o$828bo3$831b3o$688b3o140bo$690bo141bo$689b
o2$684bo$684b2o153bo$683bobo152b2o$838bobo3$843b2o$677b2o164bobo$
676bobo164bo$678bo3$672b2o$673b2o175b2o$672bo176b2o$851bo3$854b3o$
665b3o186bo$667bo187bo$666bo2$661bo$661b2o199bo$660bobo198b2o$861b
obo4$654b2o$653bobo$655bo!

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

Edit: Achim's p11 reduced to 75 gliders:
x = 827, y = 80, rule = B3/S23
731bo$731bobo$731b2o3$740bo$740bobo$727bo12b2o$727bobo$727b2o2$452bo$
452bobo$452b2o$683bo$684bo23bo$682b3o22bo$707b3o$429bobo180bobo4bo$
377bo52b2o181b2o2b2o$375bobo52bo182bo4b2o84b3o98bo$376b2o3bo421bobo$
380bo72bo350b2o3bo$380b3o68b2o225bo129b2o$452b2o225bo128b2o$269bobo
405b3o128bo$269b2o48bo99bo67bo5bo76bobo$248bo9bo11bo46bobo5bobo92b2o
20b3o43b2o2bo77b2o74bo38bo50bo$246bobo10b2o57b2o6b2o3bo87b2o66b2o3b3o
76bo72b2o40bo49bo$247b2o9b2o66bo3bo84b2o228b2o37b3o49bo69b2o$330b3o81b
obo322b2o61bo3b2o3bo$373bo2bo39bo22bo2bo56b2o52bo3b2o5bobo3b2o47bo3b2o
5bo80bo3b2o5bo16bobo59bo10bo$9bo180bo182b4o62b4o49b2o5b2o51bobo2b2o6b
2o3bobo45bobo2b2o4bobo13bo64bobo2b2o4bobo15bo60bo3bo4bo3bo$7b2o179bobo
227b2o73b2o56bobo11bo4bo46bobo10bobo11b2o63bobo10bobo74bob2o3b2o3b2obo
$8b2o127bo51b2o182b4o41bobo18b4o12bo36bo6b4o47bobo4b4o55bobo4b4o4bobo
10bobo61bobo4b4o4bobo72bobob4o2b4obobo$12bobo120bobo235bo2bo41bo20bo2b
o11b2o43bo2bo48bo5bo2bo56bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo
$12b2o122b2o124bo51b2o138bobo344b2o8b2o12bo$13bo74bo97b3o73bo52b2o472b
3o7bob2o8b2obo9bo$2bo49b2ob2o30bo10b2ob2o48b2ob2o32bo9b2ob2o8b2ob2o46b
o3b2ob2o8b2ob2o30bo6b2o8b2ob2o33b2o8b2ob2o51b2o8b2ob2o45b2o8b2ob2o43b
2o8b2ob2o51b2o8b2ob2o77b2o8b2ob2o64b3o8bo10bo11b3o$obo50bob2o30b3o9bob
2o31b2o16bob2o31bo11bobo10bob2o51bobo10bob2o37bo10bob2o33bo10bob2o51bo
10bob2o45bo10bob2o43bo10bob2o51bo10bob2o77bo10bob2o70b2o2bo12bo2b2o$b
2o50bo45bo35b2o15bo46bobo10bo54bobo10bo37b2obo10bo33b2obo10bo51b2obo
10bo45b2obo10bo43b2obo10bo51b2obo10bo77b2obo10bo73b2o2bo12bo2b2o$5b2o
45b2o44b2o34bo16b2o45b2ob2o8b2o53b2ob2o8b2o37b2ob2o8b2o33b2ob2o8b2o51b
2ob2o8b2o45b2ob2o8b2o43b2ob2o8b2o51b2ob2o8b2o77b2ob2o8b2o64b3o11bo10bo
8b3o$4bobo38bobo741bo9bob2o8b2obo7b3o$6bo39b2o40b3o3bo693bo12b2o8b2o$
46bo43bo2bobo49bo2bo56bo2bo64bo2bo48bo2bo44bo2bo62bo2bo56bo2bo54bo2bo
5bo50bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo$89bo4b2o49b4o56b4o
64b4o48b4o44b4o62b4o56b4o6bo47b4o4bobo35bobo10bobo4b4o4bobo74bobo4b4o
4bobo72bobob4o2b4obobo$507b2o38bo4bo11bobo37b2o11bobo10bobo76bobo10bob
o74bob2o3b2o3b2obo$94b2o37b3o11b2o58b2o66b2o50b2o46b2o64b2o58b2o5b2o
35bobo3b2o6b2o2bobo38bo13bobo4b2o2bobo62bo15bobo4b2o2bobo76bo3bo4bo3bo
$47b2o45b2o39bo11b2o58b2o45bo20b2o50b2o46b2o64b2o58b2o43b2o3bobo5b2o3b
o54bo5b2o3bo61bobo16bo5b2o3bo78bo10bo$46bobo85bo119b2o437b2o107bo3b2o
3bo$48bo95bo108bobo347b2o92bo49b3o56b2o$51b2o90b2o362b3o3b2o31bo57b2o
91bo49bo$51bobo89bobo363bo2b2o32b2o55bo93bo50bo$51bo456bo5bo30bobo$
754b3o48bo$754bo49b2o$755bo48b2o$804bo3b2o$266bo541bobo$259bo5b2o363b
2o4bo90b3o78bo$260bo4bobo363b2o2b2o$258b3o369bo4bobo$724b3o$262b3o461b
o22b3o$264bo460bo23bo$263bo486bo5$705b2o$704bobo$692b2o12bo$691bobo$
693bo3$701b2o$700bobo$702bo!
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Freywa
 
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Re: Synthesising Oscillators

Postby mattiward » July 11th, 2019, 1:10 pm

Freywa wrote:Double X in 91 gliders:
x = 864, y = 193, rule = B3/S23
268bo$269b2o$268b2o$273bo3bobo$274bo2b2o$272b3o3bo$370bobo122bobo$
370b2o95bo28b2o$371bo95bo2b2o24bo70b3o3bo27b3o3bo138b4o30b4o$381b
2o5b2o61b2o13bo5bo5b2o5b2o73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o
107b2o14bo2b2o6b2o5b2o14bo2b2o6b2o$364bobo14b2o5b2o61b2o14bobo2b2o
4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o107b2o15bo
2b2o5b2o5b2o15bo2b2o5b2o$365b2o3bo96bo3b2o24bo3b2o62b2o3bo2bo25b2o
3bo2bo139bo2bo30bo2bo$365bo4bobo96b3o23bobo4bo63bo3b3o27bo3b3o141b
2o32b2o$370b2o80b2o3b2o37b2o234bo3bo29bo3bo$451bo2bobo2bo9b3o94bo
3b3o27bo3b3o124bobobobo10b2o15bobobobo10b2o$450bo9bo6bo3b2o92b2o3b
o2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo$449b2o9b
2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo120b2o7b2o7bo2b2o11b2o7b2o7bo2b
2o$450bo9bo5bo5bo92b5o2bobo24b5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2b
obo2b2o6bo2b2o$451bo2bobo2bo7bo2b2o95b3o3bo27b3o3bo123bobobobo8b4o
15bobobobo8b4o$452b2o3b2o8bo264bo3bo29bo3bo3$737b2o$736b2o$738bo3$
339bo188bo$339b2o186b2o127bobo119b3o$338bobo186bobo127b2o121bo$
657bo121bo2$398bo70bo$397b2o70b2o278bo109bo$397bobo68bobo186bobo
88b2o108bo$658b2o88bobo107b3o$658bo3$668bo98b2o89bo$669b2o95bobo
88bo$668b2o98bo88b3o4$669bo90b2o85bo$670b2o87b2o86bobo$669b2o90bo
85b2o4$679bobo73b3o88bo$680b2o75bo88bobo$680bo75bo89b2o3$772bo63bo
$680bobo88b2o62bo$681b2o88bobo61b3o$681bo3$691bo52b2o89bo$692b2o
49bobo88bo$691b2o52bo88b3o4$692bo90b2o39bo$693b2o87b2o40bobo$692b
2o90bo39b2o4$702bobo27b3o88bo$703b2o29bo88bobo$703bo29bo89b2o3$
795bo17bo$703bobo88b2o16bo$704b2o88bobo15b3o$704bo3$714bo6b2o89bo$
715b2o3bobo88bo$714b2o6bo88b3o4$715bo85bo4b2o$716b2o83bobob2o$715b
2o84b2o4bo4$725bobo$726b2o$726bo9$564bo53bo$565bo51bo$563b3o51b3o
115b2o49b2o$735b2o49b2o$101bobo49bobo$101b2o51b2o404b3o57b3o$102bo
51bo407bo57bo$561bo59bo2$42bobo167bobo$43b2o167b2o$43bo169bo2$723b
2o$722bobo$724bo3$718b2o$11bo125b2o3b2o8bo213bo8b2o3b2o18bo8b2o3b
2o36b2o3b2o8bo18b2o3b2o8bo217b2o11bo3bo29bo3bo33b2o$9b2o125bo2bobo
2bo7bo2b2o95b3o3bo27b3o3bo69b2o2bo7bo2bobo2bo13b2o2bo7bo2bobo2bo
34bo2bobo2bo7bo2b2o13bo2bobo2bo7bo2b2o61b3o3bo27b3o3bo110bo12bobob
obo8b4o15bobobobo8b4o19b2o$10b2o123bo9bo5bo5bo92b5o2bobo24b5o2bobo
67bo5bo5bo9bo11bo5bo5bo9bo32bo9bo5bo5bo11bo9bo5bo5bo58b5o2bobo24b
5o2bobo120b2o2bobo2b2o6bo2b2o12b2o2bobo2b2o6bo2b2o20bo$obo3bo127b
2o9b2o5bobo2b2o90b2o3b2o3bo23b2o3b2o3bo66b2o2bobo5b2o9b2o9b2o2bobo
5b2o9b2o30b2o9b2o5bobo2b2o9b2o9b2o5bobo2b2o56b2o3b2o3bo23b2o3b2o3b
o120b2o7b2o7bo2b2o11b2o7b2o7bo2b2o$b2o2bo129bo9bo6bo3b2o92b2o3bo2b
o25b2o3bo2bo68b2o3bo6bo9bo11b2o3bo6bo9bo32bo9bo6bo3b2o11bo9bo6bo3b
2o58b2o3bo2bo25b2o3bo2bo121b2o2bobo2b2o7bo2bo12b2o2bobo2b2o7bo2bo$
bo3b3o128bo2bobo2bo9b3o94bo3b3o27bo3b3o70b3o9bo2bobo2bo13b3o9bo2bo
bo2bo34bo2bobo2bo9b3o13bo2bobo2bo9b3o60bo3b3o27bo3b3o124bobobobo
10b2o15bobobobo10b2o24b3o$74b2o61b2o3b2o37b2o192b2o3b2o27b2o3b2o
36b2o3b2o27b2o3b2o218b3o18bo3bo29bo3bo37bo$69bo4bobo77b3o23bobo4bo
63bo3b3o27bo3b3o70b3o31b3o70b3o31b3o60bo3b3o27bo3b3o106bo34b2o32b
2o25bo$69b2o3bo77bo3b2o24bo3b2o62b2o3bo2bo25b2o3bo2bo68b2o3bo28b2o
3bo66bo3b2o28bo3b2o58b2o3bo2bo25b2o3bo2bo104bo34bo2bo30bo2bo$68bob
o14b2o5b2o42b2o14bobo2b2o4b2o5b2o14bobo56b2o2b2o3b2o3bo12b2o5b2o2b
2o3b2o3bo12b2o46b2o4b2o2bobo14b2o5b2o4b2o2bobo14b2o34b2o14bobo2b2o
4b2o5b2o14bobo2b2o4b2o46b2o2b2o3b2o3bo12b2o5b2o2b2o3b2o3bo12b2o
107b2o15bo2b2o5b2o5b2o15bo2b2o5b2o$85b2o5b2o42b2o13bo5bo5b2o5b2o
73b2o3b5o2bobo12b2o5b2o3b5o2bobo12b2o46b2o5bo5bo13b2o5b2o5bo5bo13b
2o34b2o13bo5bo5b2o5b2o13bo5bo5b2o46b2o3b5o2bobo12b2o5b2o3b5o2bobo
12b2o84bo22b2o14bo2b2o6b2o5b2o14bo2b2o6b2o$75bo76bo2b2o24bo70b3o3b
o27b3o3bo69b2o2bo29b2o2bo66bo2b2o29bo2b2o61b3o3bo27b3o3bo99b2o37b
4o30b4o32bo$74b2o76bo28b2o183bo33bo66bo33bo204bobo106b2o$74bobo
103bobo632bobo3$820b2o$700b2o118bobo$699bobo118bo$701bo3$695b2o$
696b2o129b2o$695bo130b2o$828bo3$831b3o$688b3o140bo$690bo141bo$689b
o2$684bo$684b2o153bo$683bobo152b2o$838bobo3$843b2o$677b2o164bobo$
676bobo164bo$678bo3$672b2o$673b2o175b2o$672bo176b2o$851bo3$854b3o$
665b3o186bo$667bo187bo$666bo2$661bo$661b2o199bo$660bobo198b2o$861b
obo4$654b2o$653bobo$655bo!

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

Edit: Achim's p11 reduced to 75 gliders:
x = 827, y = 80, rule = B3/S23
731bo$731bobo$731b2o3$740bo$740bobo$727bo12b2o$727bobo$727b2o2$452bo$
452bobo$452b2o$683bo$684bo23bo$682b3o22bo$707b3o$429bobo180bobo4bo$
377bo52b2o181b2o2b2o$375bobo52bo182bo4b2o84b3o98bo$376b2o3bo421bobo$
380bo72bo350b2o3bo$380b3o68b2o225bo129b2o$452b2o225bo128b2o$269bobo
405b3o128bo$269b2o48bo99bo67bo5bo76bobo$248bo9bo11bo46bobo5bobo92b2o
20b3o43b2o2bo77b2o74bo38bo50bo$246bobo10b2o57b2o6b2o3bo87b2o66b2o3b3o
76bo72b2o40bo49bo$247b2o9b2o66bo3bo84b2o228b2o37b3o49bo69b2o$330b3o81b
obo322b2o61bo3b2o3bo$373bo2bo39bo22bo2bo56b2o52bo3b2o5bobo3b2o47bo3b2o
5bo80bo3b2o5bo16bobo59bo10bo$9bo180bo182b4o62b4o49b2o5b2o51bobo2b2o6b
2o3bobo45bobo2b2o4bobo13bo64bobo2b2o4bobo15bo60bo3bo4bo3bo$7b2o179bobo
227b2o73b2o56bobo11bo4bo46bobo10bobo11b2o63bobo10bobo74bob2o3b2o3b2obo
$8b2o127bo51b2o182b4o41bobo18b4o12bo36bo6b4o47bobo4b4o55bobo4b4o4bobo
10bobo61bobo4b4o4bobo72bobob4o2b4obobo$12bobo120bobo235bo2bo41bo20bo2b
o11b2o43bo2bo48bo5bo2bo56bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo
$12b2o122b2o124bo51b2o138bobo344b2o8b2o12bo$13bo74bo97b3o73bo52b2o472b
3o7bob2o8b2obo9bo$2bo49b2ob2o30bo10b2ob2o48b2ob2o32bo9b2ob2o8b2ob2o46b
o3b2ob2o8b2ob2o30bo6b2o8b2ob2o33b2o8b2ob2o51b2o8b2ob2o45b2o8b2ob2o43b
2o8b2ob2o51b2o8b2ob2o77b2o8b2ob2o64b3o8bo10bo11b3o$obo50bob2o30b3o9bob
2o31b2o16bob2o31bo11bobo10bob2o51bobo10bob2o37bo10bob2o33bo10bob2o51bo
10bob2o45bo10bob2o43bo10bob2o51bo10bob2o77bo10bob2o70b2o2bo12bo2b2o$b
2o50bo45bo35b2o15bo46bobo10bo54bobo10bo37b2obo10bo33b2obo10bo51b2obo
10bo45b2obo10bo43b2obo10bo51b2obo10bo77b2obo10bo73b2o2bo12bo2b2o$5b2o
45b2o44b2o34bo16b2o45b2ob2o8b2o53b2ob2o8b2o37b2ob2o8b2o33b2ob2o8b2o51b
2ob2o8b2o45b2ob2o8b2o43b2ob2o8b2o51b2ob2o8b2o77b2ob2o8b2o64b3o11bo10bo
8b3o$4bobo38bobo741bo9bob2o8b2obo7b3o$6bo39b2o40b3o3bo693bo12b2o8b2o$
46bo43bo2bobo49bo2bo56bo2bo64bo2bo48bo2bo44bo2bo62bo2bo56bo2bo54bo2bo
5bo50bo5bo2bo5bo76bo5bo2bo5bo72bo2b2ob2o4b2ob2o2bo$89bo4b2o49b4o56b4o
64b4o48b4o44b4o62b4o56b4o6bo47b4o4bobo35bobo10bobo4b4o4bobo74bobo4b4o
4bobo72bobob4o2b4obobo$507b2o38bo4bo11bobo37b2o11bobo10bobo76bobo10bob
o74bob2o3b2o3b2obo$94b2o37b3o11b2o58b2o66b2o50b2o46b2o64b2o58b2o5b2o
35bobo3b2o6b2o2bobo38bo13bobo4b2o2bobo62bo15bobo4b2o2bobo76bo3bo4bo3bo
$47b2o45b2o39bo11b2o58b2o45bo20b2o50b2o46b2o64b2o58b2o43b2o3bobo5b2o3b
o54bo5b2o3bo61bobo16bo5b2o3bo78bo10bo$46bobo85bo119b2o437b2o107bo3b2o
3bo$48bo95bo108bobo347b2o92bo49b3o56b2o$51b2o90b2o362b3o3b2o31bo57b2o
91bo49bo$51bobo89bobo363bo2b2o32b2o55bo93bo50bo$51bo456bo5bo30bobo$
754b3o48bo$754bo49b2o$755bo48b2o$804bo3b2o$266bo541bobo$259bo5b2o363b
2o4bo90b3o78bo$260bo4bobo363b2o2b2o$258b3o369bo4bobo$724b3o$262b3o461b
o22b3o$264bo460bo23bo$263bo486bo5$705b2o$704bobo$692b2o12bo$691bobo$
693bo3$701b2o$700bobo$702bo!


Achim's p11 further reduced to 67 gliders:
x = 551, y = 80, rule = B3/S23
465bo$464bo$464b3o3$474bo$473bo$461bo11b3o$460bo$460b3o6$249bo168bo$
247b2o167bobo22bo$248b2o167b2o22bobo$359bo81b2o$360b2obobo$359b2o2b2o
73b3o88bo$364bo165bo$235bo292b3o2bo$233bobo296b2o$234b2o177bo118b2o$
203bo207bobo118bo$163bo40b2obobo33bo4bo84bo78b2o$164bo5bo32b2o2b2o13bo
2bo17bo3bo19bobo2bo58b2o137bo$162b3o6b2o35bo17bo16bo3b3o18b2o2bobo57b
2o56bobo27bo49bo$170b2o2bo47bo3bo41bo3b2o116b2o26bobo49bo59b2o$174bobo
46b4o23b2o139bo27b2o51b3o55b2o$174b2o23bo2bo36bo2bo7bobo20bo5b2o34bo3b
2o6bo3b3o31bo3b2o5bo68bo3b2o5bo15bo52bo10bo$136bo62b4o36b4o7bo22b2o4b
2o33bobo2b2o7b2obo32bobo2b2o4bobo12b2o52bobo2b2o4bobo15bo50bobo8bobo$
136bobo133bobo38bobo11b2o3bo30bobo10bobo10b2o52bobo10bobo64bobo3bo2bo
3bobo$136b2o61b4o36b4o36b4o29bobo4b4o39bobo4b4o4bobo11bo50bobo4b4o4bob
o62bobo4bo2bo4bobo$134bo24bo39bo2bo36bo2bo36bo2bo30bo5bo2bo40bo5bo2bo
5bo64bo5bo2bo5bo64bo5bo2bo5bo$7bo124bobo5bo18b2o$6bo126b2o3b2o18bobo
352b3o32bo$6b3o26b2o28b2o28b2o6bo21b2o12b2o24b2o8b2ob2o15b2o8b2ob2o25b
2o8b2ob2o25b2o8b2ob2o25b2o8b2ob2o35b2o8b2ob2o65b2o8b2ob2o54b3o7b3o8b3o
10bobo$10b3o22bo29bo29bo8b2ob2o16bo9bo29bo10bob2o15bo10bob2o25bo10bob
2o25bo10bob2o25bo10bob2o35bo10bob2o65bo10bob2o60b2o18b2o6b2o$10bo21b2o
bo26b2obo26b2obo7b2o2bobo12b2obo8bobo25b2obo10bo15b2obo10bo25b2obo10bo
25b2obo10bo25b2obo10bo35b2obo10bo65b2obo10bo55b2o6b2o18b2o$11bo20b2ob
2o25b2ob2o7bo17b2ob2o10bo14b2ob2o8b2o25b2ob2o8b2o15b2ob2o8b2o25b2ob2o
8b2o25b2ob2o8b2o25b2ob2o8b2o35b2ob2o8b2o65b2ob2o8b2o54bobo10b3o8b3o7b
3o$2o38bobo30bo439bo32b3o$b2o37b2o28bo2b3o$o4bo35bo27bobo27bo2bo26bo2b
o36bo2bo26bo2bo36bo2bo36bo2bo36bo2bo5bo34bo5bo2bo5bo64bo5bo2bo5bo64bo
5bo2bo5bo$5b2o62b2o5b3o20b4o26b4o36b4o26b4o36b4o36b4o36b4o4bobo20bo11b
obo4b4o4bobo62bobo4b4o4bobo62bobo4bo2bo4bobo$4bobo32b3o34bo210bobo19bo
3b2o11bobo22b2o10bobo10bobo64bobo10bobo64bobo3bo2bo3bobo$41bo31bo3bo
23b2o28b2o38b2o28b2o38b2o38b2o4b2o21bob2o7b2o2bobo22b2o12bobo4b2o2bobo
50bo15bobo4b2o2bobo66bobo8bobo$40bo31b2o27b2o28b2o38b2o28b2o38b2o38b2o
5bo19b3o3bo6b2o3bo38bo5b2o3bo52bo15bo5b2o3bo68bo10bo$72bobo275bo76b3o
51b2o47b2o$288b2o3bo56b2o79bo49bobo46b2o$287bobo2b2o14b2o39bobo79bo49b
o$289bo2bobo14b2o120bo$308bo179b2o$488bobo38bo$488bo39b2o$528b2o$528bo
2b3o$377bo153bo$377b2o2b2o78b3o68bo$376bobob2o$382bo76b2o$458bobo22b2o
$460bo22bobo$483bo6$439b3o$441bo$426b3o11bo$428bo$427bo3$435b3o$437bo$
436bo!
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Re: Synthesising Oscillators

Postby toroidalet » July 11th, 2019, 1:23 pm

63 gliders:
x = 491, y = 80, rule = B3/S23
465bo$464bo$464b3o5$461bo$460bo14bo$460b3o12bobo$475b2o3$420bo$421bo$
249bo169b3o$247b2o192bo$248b2o191bobo$359bo81b2o$360b2obobo$359b2o2b2o
73b3o$364bo$235bo$233bobo$234b2o177bo$203bo207bobo$163bo40b2obobo33bo
4bo84bo78b2o$164bo5bo32b2o2b2o13bo2bo17bo3bo19bobo2bo58b2o137bo$162b3o
6b2o35bo17bo16bo3b3o18b2o2bobo57b2o56bobo27bo49bo$170b2o2bo47bo3bo41bo
3b2o116b2o26bobo49bo$174bobo46b4o23b2o139bo27b2o51b3o$174b2o23bo2bo36b
o2bo7bobo20bo5b2o34bo3b2o6bo3b3o31bo3b2o5bo68bo3b2o5bo15bo$136bo62b4o
36b4o7bo22b2o4b2o33bobo2b2o7b2obo32bobo2b2o4bobo12b2o52bobo2b2o4bobo
15bo$136bobo133bobo38bobo11b2o3bo30bobo10bobo10b2o52bobo10bobo$136b2o
61b4o36b4o36b4o29bobo4b4o39bobo4b4o4bobo11bo50bobo4b4o4bobo$134bo24bo
39bo2bo36bo2bo36bo2bo30bo5bo2bo40bo5bo2bo5bo64bo5bo2bo5bo$7bo124bobo5b
o18b2o$6bo126b2o3b2o18bobo$6b3o26b2o28b2o28b2o6bo21b2o12b2o24b2o8b2ob
2o15b2o8b2ob2o25b2o8b2ob2o25b2o8b2ob2o25b2o8b2ob2o35b2o8b2ob2o65b2o8b
2ob2o$10b3o22bo29bo29bo8b2ob2o16bo9bo29bo10bob2o15bo10bob2o25bo10bob2o
25bo10bob2o25bo10bob2o35bo10bob2o65bo10bob2o$10bo21b2obo26b2obo26b2obo
7b2o2bobo12b2obo8bobo25b2obo10bo15b2obo10bo25b2obo10bo25b2obo10bo25b2o
bo10bo35b2obo10bo65b2obo10bo$11bo20b2ob2o25b2ob2o7bo17b2ob2o10bo14b2ob
2o8b2o25b2ob2o8b2o15b2ob2o8b2o25b2ob2o8b2o25b2ob2o8b2o25b2ob2o8b2o35b
2ob2o8b2o65b2ob2o8b2o$2o38bobo30bo$b2o37b2o28bo2b3o$o4bo35bo27bobo27bo
2bo26bo2bo36bo2bo26bo2bo36bo2bo36bo2bo36bo2bo5bo34bo5bo2bo5bo64bo5bo2b
o5bo$5b2o62b2o5b3o20b4o26b4o36b4o26b4o36b4o36b4o36b4o4bobo20bo11bobo4b
4o4bobo62bobo4b4o4bobo$4bobo32b3o34bo210bobo19bo3b2o11bobo22b2o10bobo
10bobo64bobo10bobo$41bo31bo3bo23b2o28b2o38b2o28b2o38b2o38b2o4b2o21bob
2o7b2o2bobo22b2o12bobo4b2o2bobo50bo15bobo4b2o2bobo$40bo31b2o27b2o28b2o
38b2o28b2o38b2o38b2o5bo19b3o3bo6b2o3bo38bo5b2o3bo52bo15bo5b2o3bo$72bob
o275bo76b3o51b2o$288b2o3bo56b2o79bo49bobo$287bobo2b2o14b2o39bobo79bo
49bo$289bo2bobo14b2o120bo$308bo179b2o$488bobo$488bo3$377bo$377b2o2b2o
78b3o$376bobob2o$382bo76b2o$458bobo$460bo$480b3o$480bo$481bo3$425b2o$
424bobo12b3o$426bo14bo$440bo5$435b3o$437bo$436bo!
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

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Re: Synthesising Oscillators

Postby Freywa » July 16th, 2019, 9:20 am

Lightbulb and cis-hook in 6 gliders, and the house version in 7:
x = 81, y = 29, rule = B3/S23
66bo$64bobo$65b2o$obo73bo$b2o71b2o$bo73b2o7$16bo59bo$9bo5bo53bo5bo$10b
o4b3o52bo4b3o$8b3o57b3o2$19b2o58b2o$7bo10b2o47bo10b2o$8bo11bo47bo11bo$
6b3o57b3o6$9b3o57b3o$9bo59bo$10bo59bo!

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

Other lightbulb variants should be easily derivable from the above base, including the snake version.
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Re: Synthesising Oscillators

Postby mniemiec » July 16th, 2019, 5:06 pm

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

Yes, this does also improve syntheses of all the other derived lightbulbs I have. Curiously, moving the glider right one space flips the bookend, and two of them make the house:
x = 113, y = 25, rule = B3/S23
bo40bo39bo13bo$bbo40bo39bo11bo$3o38b3o37b3o11b3o8$15bo14boo23bo11boo
26bo11booboo$8bo4boo13bobbo16bo4boo12bobbo17bo4boo12bo3bo$9boo3boo12b
3o18boo3boo12b3o18boo3boo12b3o$8boo7boo29boo7boo29boo7boo$17bobo8b3o
26bobo8b3o26bobo8b3o$17bo9bo3bo25bo9bo3bo25bo9bo3bo$6bo20bo3bo14bo20bo
3bo14bo20bo3bo$7boo19bobo16boo19bobo16boo19bobo$6boo18bobobobo13boo18b
obobobo13boo18bobobobo$26boo3boo33boo3boo33boo3boo3$8boo38boo38boo$7b
oo38boo38boo$9bo39bo39bo!

EDIT: From the sublime to the ridiculous:
x = 46, y = 44, rule = B3/S23
21bo$21bobo$21boo$$bbo$obo$boo7$10boo$9bobbo$9bobbo3bo$10boobboo24boob
oo$15boo23bo3bo$41b3o$22bobo$5bobo14boo17b3o$6boo15bo16bo3bo$6bo33boob
oo$$40booboo$3bobo34bo3bo$4boo35b3o$4bo$41b3o$40bo3bo$40bo3bo$41bobo$
39bobobobo$25b3o11boo3boo$25bo$26bo6$17bo$16boo$16bobo!
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Re: Synthesising Oscillators

Postby Ian07 » July 29th, 2019, 12:14 pm

Edgy (am I using this term correctly?) 5G figure eight, found once again using synthesise-constellation:
x = 21, y = 15, rule = B3/S23
6bo$4bobo$5b2o2$bo$2bo15bobo$3o15b2o$19bo$15bo$16bo$14b3o2$18bobo$18b
2o$19bo!

Improves the following syntheses:
x = 476, y = 46, rule = B3/S23
75bo57bo$73bobo55bobo56bo142bo$74b2o56b2o54bobo65bo76bobo$189b2o63bobo
76b2o$70bo57bo126b2o$71bo15bobo39bo15bobo37bo152bo$69b3o15b2o38b3o15b
2o39bo15bobo46bo67bobo15bo$88bo57bo37b3o15b2o48bo15bobo49b2o15b3o$84bo
57bo60bo46b3o15b2o50bo$6bo78bo57bo55bo69bo54bo69b3o$4bobo76b3o55b3o56b
o64bo57bo70b3o$5b2o191b3o65bo56b3o66b3o2b2o$87bobo55bobo116b3o130b2o
51bo6bo$bo85b2o56b2o55bobo114bobo74b3o52b2o5b2o$2bo15bobo67bo57bo55b2o
64bobo49b2o74bo53b2o5b2o$3o15b2o183bo64b2o50bo75bo$19bo249bo184b2o10b
2o$15bo437bobo11bo$16bo438bo10bo$14b3o449b2o$81bo57bo179bo148bo$18bobo
58bo2bo55bo2bo52bo76bo45bobo9bo73bo62b5o$18b2o59bo2bo55bo2bo51bo2bo66b
o7bobo44b2o7bo2bo71b2o64b3o$19bo60bo59bo52bo2bo64bo2bo6b2o54bo2bo71bob
o60b2o3b2o$195bo65bo2bo63bo141bo$262bo135b3o66bo2bobob2o$400bo44b3o18b
obobob2obo$399bo47bo16b3o2bo$403bo42bo16bo3b2o$13bo73bo45bo250b3o15b2o
60b3o$13bo72b2o45b2o54bo196bo15bobo45b2o14bo$12b2obo70bobo43bobo54b2o
194bo63bobo$15b2o171bobo260bo$12bo69b3o51b3o177b2o71b2o$12b2o70bo51bo
55b3o78b2o42b2o69bobo$11b2o70bo53bo54bo79b2o42bo73bo$11b3o73bo45bo59bo
80bo$68b3o15b2o45b2o15b3o36bo$70bo15bobo43bobo15bo38b2o15b3o127b3o$69b
o81bo36bobo15bo45b3o81bo$207bo46bo82bo$73b2o71b2o105bo$72bobo71bobo53b
2o128b2o$74bo71bo55bobo52b2o73bobo$202bo53bobo73bo$258bo!
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Re: Synthesising Oscillators

Postby mniemiec » July 29th, 2019, 11:42 pm

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

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

Another way to make figure 8 is from 2 solid 3x3 blocks; I found an 8-glider synthesis that slides the figure 8 in from the other direction, making the cis version of rattlesnake and figure 8 possible.
x = 226, y = 155, rule = B3/S23
151bo$150bo$150b3o3$93bo44bo16bo$92bo46boo14bobo$92b3o43boo15boo$5bobo
4bobo$6boo5boo126bo$6bo6bo61boo20bo17boo24bobo$9b3o29boo28boobo22bobo
11boobo26boo28boo$11bo11bo17boobo8bo17boobbobbo18boo12boobbobbo19bo32b
oobo$10bo10bo3b4o16bo5bo3b4o17bobo37bobo20boo34bo$21bo3bo16bo8bo3bo21b
o39bo20boo32bo$21bo21boboo4bo121boboo$24bo20boo7bo21boo38boo5boo50boo$
22boo28boo22boo38boo5boobo$127bo$89bo34bo$boo85bo36boboo$obo85b3o36boo
12bobbo26bobbo$bbo83bo6bo46boboobo24boboobo$85boo5boo47bobbo26bobbo$
85bobo4bobo46bobbo26bobbo$5b3o132boboobo24boboobo$7bo133bobbo26bobbo$
6bo13$21bo59bo$20bo59bo$20b3o57b3o46bo19bo45bo$129boo18boo42boo$132bo
19bo41boo$8bo16bo42bo16bo44bo3b4o12bo3b4o$9boo14bobo41boo14bobo42boobb
o15boobbo$8boo15boo41boo15boo41bobbo16bobbo$128boo18boo$11bo59bo60b3o
17b3o28bo3bobo$11bobo57bobo107boo4boo$11boo28boo28boo28boo79boo4bo$8bo
32boobo23bo32boobo$9boo34bo23boo34bo72bo$8boo32bo25boo32bo50boo24boo$
43boboo56boboo44boboo23boo$45boo58boo19boo22bo23boo38boo$127boo24bo20b
o39bo$126bo22boobo22bo39bo$82boo28boo15boo18boo23boo38boo$22bo29bo30bo
29bo15bobo88boo$13bo7bobo19bo7bobo19bo6bobo20bo6bobo16bo60bobo27boobo$
12bob3obboobo19bob3obboobo19bob3obboo21bob3obboo79boo32bo$13bobbobbo
23bobbobbo23bobbobbo23bobbobbo16boo15boo26bo19bo19bo9bo$16bobbo26bobbo
26bobbo26bobbo17boo14bobo25boo22bo15boo9boboo$126bo16bo22boobobob3o18b
oo10boobobob3o8boo$166boboobobobo18bobo9boboobobobo$172bobb3o34bobb3o$
138b3o32boo3bo34boo3bo$138bo36b3o37b3o$139bo35bo19boo18bo$194boo$196bo
4$202bo$201boo$201bobo$$76bobo$11bobo4bobo55boo$12boo5boo56bo$12bo6bo
83bo29bo29bo$15b3o14boo13boo13boo38bobo27bobo27bobo$17bo12boboo13boobo
9boboo38boo28boo28boo$16bo12bo21bo7bo7b3o3bo$32bo15bo13bo6bo4bo$28boob
o17boboo5boobo6bo3b3o$28boo21boo5boo$100bo4bo24bo4bo24bo4bo$79boo17boo
b4oboo20boob4oboo20boob4oboo$79bobo18bo4bo24bo4bo24bo4bo$7boo64bo5bo$
6bobo63boo$8bo63bobo3$11b3o144boo$13bo144boobo$12bo122boo25bo$134boo
23bo$136bo23boboo$132boo28boo$131bobo$133bo$$118boo15boo$117bobo14boo$
119bo16bo3$122b3o$124bo$123bo9$13bo29bo29bo29bo29bo29bo$12bobo27bobo
27bobo27bobo27bobo27bobo$12boo28boo28boo28boo28boo28boo5$10bo4bo24bo4b
o24bo4bo24bo4bo24bo4bo24bo4bo$8boob4oboo20boob4oboo20boob4oboo20boob4o
boo20boob4oboo20boob4oboo$10bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo6$
46boo58boo50boo$44boboo58boobo46boboo$9boo32bo39boo25bo10boo32bo$10boo
34bo35boo23bo14boo34bo$9bo32boobo38bo23boboo9bo32boobo$12boo28boo36boo
28boo12boo28boo$12bobo64bobo42bobo$12bo68bo42bo$$9boo15boo38boo15boo
36boo15boo$10boo14bobo36bobo14boo38boo14bobo$9bo16bo40bo16bo36bo16bo3$
21b3o46b3o60b3o$21bo50bo60bo$22bo48bo62bo!

EDIT: The above syntheses for figure 8 and octagon 2, and the last two boat on pentadecathlon and figure 8 only tie the records, rather than beating them. I also forgot three others:
x = 128, y = 65, rule = B3/S23
4boo8bobo4bobo20boo38bobo4bobo$oobo10boo5boo17boobo40boo5boo$oobbobbo
7bo6bo17boobbobbo37bo6bo$5bobo9b3o25bobo8boo29b3o36boo$6bo10bo28bo7bob
oo29bo36boboo$18bo34bo20boo12bo25boo7bo$5boo38boo9bo13boobo36boobo12bo
$5boo38boo5boobo14boobbobbo32boobbobbo4boobo$52boo21bobo37bobo4boo$76b
o39bo$$75boo38boo$26boo47boo19boo17boo$26bobo67bobo$26bo69bo3$21b3o67b
3o$21bo69bo$22bo69bo14$23bo$22bo$22b3o3$10bo16bo$11boo14bobo$10boo15b
oo$$13bo$13bobo$13boo38boo$10bo42boobo$11boo44bo$10boo42bo$55boboo$57b
oo6$oo17bo20boo17bo$bo16b3o20bo16b3o$bobo17bo19bobo17bo$bboo12bobo23b
oo12bobo$8b3o4bobbo29b3o4bobbo$8bobbo4b3o29bobbo4b3o$8bobo12boo23bobo
12boo$5bo17bobo19bo17bobo$6b3o16bo20b3o16bo$7bo17boo20bo17boo!
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