Synthesising Oscillators

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
User avatar
iNoMed
Moderator
Posts: 606
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » May 18th, 2021, 9:53 am

Here's a 62-glider synthesis of the canonical version of "1-2-3-4", inspired by the 23-glider Mini Pressure Cooker synthesis and begging for a reduction to the 36-glider synthesis for xs19_354q453z0bd:

Code: Select all

x = 674, y = 33, rule = B3/S23
381bo$198bo182bobo$198bobo180b2o96bo137bo41bo$145bo52b2o3bobo97bobo
118bo52b2o8bo129bobo37bobo$145bobo55b2o80bobo15b2o111bo8b2o51b2o7bobo
40bo86b2o39b2o$145b2o57bo81b2o16bo55bo13bo39bobo7b2o61b2o35bobo3bobo
36b2o36bo61bo$196b2o88bo22bo48bobo13bobo38b2o108b2o3b2o36bo2bo36b2o57b
2o$91bo103b2o110b2o50b2o13b2o149bo37bobo2bo2bo35b2o6bo45bo6b2o$89bobo
105bo9bo100b2o70bo92bo3bobo84b2o3b2o43bo47bo$90b2o4bobo34bo4bo67bo40bo
132bobo41bobo3bo40bobo3b2o85bo49b3o43b3o$96b2o33bobo4bobo65b3o36bobo
132b2o43b2o3bobo39b2o4bo$97bo34b2o4b2o11bo94b2o177bo4b2o$52b2o40bo56bo
bo221bo242bo39bo$51bo2bo39b2o55b2o96b2o122b2o242bobo37bobo$15bo36b2o
39bobo153bobo45b2o75b2o109bo120bo11bo37bobo11bo$13b2o31b2o8b2o40b2o42b
2o100b2o3bo47bo69bo111b2o3bobo34bo5bo37bo5bo35b2o6bo5bo34bo4bo6b2o$14b
2o31bo8bobo40bo41bobo8b2o34b2o3bo45b2o4bo46b2o4bo10bo52b2o2bobo49b2o3b
2o43bo10bo2bo2bo34bobo3bobo35bobo3bobo33b2o6bobo3bobo30b2ob2o2bobo6b2o
$46bo9bo41bo41bo10b2o35bo2b3o45bo2b3o7b2o38bo2b3o9b2o53bo2bo2bo7b2o40b
o2bo2bo10bo32b2o10b2ob2o36bo2bo2bo37bo2bo2bo43bo2bo2bo31bobo2bo2bo$46b
2o50b2o41b2o10bo35b2o49b2o10bobo38b2o13b2o4b2o47b2ob2o7b2o42b2ob2o10b
2o31bobo12bo39b2ob2o39b2ob2o33bo11b2ob2o35b2ob2o11bo$12b2o34bo51bo42bo
12b2o33bo50bo9bo42bo17b2o50bo11bo43bo12bobo45bo41bo43bo36bo12bo39bo12b
o$12bobo33bo51bo42bo11b2o34bo50bo52bo19bo49bo55bo58b2o42bo43bo34b3o12b
o39bo12b3o$12bo33b2o50b2o41b2o14bo31b2o49b2o51b2o14b2o52b2o54b2o59bo
41b2o42b2o48b2o38b2o$46bo51bo42bo47bo50bo52bo14b2o53bo55bo61bo40bo43bo
49bo39bo$47bo51bo42bo47bo50bo52bo15bo53bo55bo59b2o41bo43bo49bo39bo$46b
2o50b2o41b2o46b2o49b2o51b2o68b2o54b2o101b2o42b2o37b2o9b2o38b2o12b2o$bo
11b2o591b2o61b2o$b2o9b2o591bo65bo$obo11bo306b2o342bo$315bo4b2o342b2o$
314b2o6bo341bobo$205b2o107bobo$205bobo$205bo!
I have also tried converting the tub-stabilised stator-variant, but that ends up being six gliders more expensive:

Code: Select all

x = 743, y = 140, rule = B3/S23
283bo$281bobo$282b2o$288b2o$288bobo$282b2o4bo$283b2o$282bo62$629bobo$
629b2o96bo$630bo96bobo$13bobo705bobo3b2o$14b2o608bo97b2o7bobo$14bo548b
o58bobo45bobo13bo35bo8b2o$563bobo57b2o46b2o13bobo43bo$8b3o352bo195bo3b
2o106bo14b2o54bo$10bo2b2o346bobo196bo60bo59bo58b2o$9bo4b2o6bo132b2o39b
2o97b2o65b2o11b2o42b2o44b2o52b2o37b3o11b2o45bobo16b2o39bobo7b2o43b2o5b
2o$3bo9bo6b2o47b2o40b2o41bobo38bobo96bobo77bobo41bobo43bobo51bobo50bob
o46b2o15bobo40b2o6bobo42bobo$4b2o15b2o45bobo39bobo40bo40bo98bo79bo43bo
45bo53bo52bo65bo40bo9bo44bo$3b2o62bo41bo42bo40bo98bo70b2o7bo43bo45bo
53bo52bo65bo39bobo8bo44bo$56bo9bo41bo42bo40bo98bo72b2o5bo43bo45bo53bo
52bo60b2o3bo41b2o7bo44bo$o53b2o9bo41bo42bob3o36bob3o94bob3o68bo6bob3o
39bob3o41bob3o49bob3o33b2o13bob3o56bo2bobob3o43b2obob3o40bob3o$b2o52b
2o9b3o37bob3o39bo4bo35bo4bo93bo4bo71bo2bobo2bo34b2o2bo4bo36b2o2bo4bo
44b2o2bobo2bo31bobo9b2o2bobo2bo55b2obobobo2bo35bo6b2obobo2bo39bobo2bo$
2o67bo36bo4bo37b2o3bobo33b2o3bobo91b2o3bobo69bobobob3obo33bobobobobobo
35bobobobobobo43bobobob3obo32bo9bobobob3obo57bobob3obo32bobo9bo3bobo
37b2o3bobo$68bobo34b2o3bobo42bo40bo98bo71bo2bobo2bo35bo2bo4bo37bo2bo4b
o45bo2bobo2bo45bobobo2bo43bo14bobobo2bo34b2o6b2obobo2bo39bobo2bo$18b3o
33b2o13bo41bo81bo11bobo84b3o75bob3o39bob3o41bob3o41bo7bob3o44bobobob3o
45bo11bobobob3o43b2obob3o40bob3o$6bo11bo34b2o133bo3bobo5bo4b2o84bo79bo
43bo45bo6bo38bo7bo47b2o3bo46b3o11b2o3bo41b2o7bo44bo$6b2o11bo35bo133bo
3bo4b2o6bo85bo79bo43bo45bo4bo37b3o3b2o3bo52bo56bo8bo39bobo8bo44bo$5bob
o179b3o9b2o90b2o78b2o42b2o46bo3b3o41bobo3bo52bo48bo5b2o9bo40bo9bo44bo$
424bo37b2o47bo6bobo50bobo45b2o4bobo9bobo40b2o6bobo42bobo$20b2o133b2o
265b2o95b2o51b2o44bobo17b2o39bobo7b2o43b2o5b2o$20bobo127b2o2b2o45b2o
220b2o79b3o174bo58b2o$20bo84bobo3b2o36bo2bo3bo44bobo257b2o3b2o3b3o32bo
165bo13b2o54bo$106b2o3bobo35bo2bo48bo259bobob2o4bo33bo99bo66b2o12bobo
43bo$106bo4bo38b2o256b2o51bo5bo4bo132b2o64bobo12bo35bo8b2o$191bo215bob
o13b3o178bobo115b2o7bobo$190b2o217bo13bo297bobo3b2o$73bo116bobo225b2o
4bo302bobo$72b2o345b2o306bo$72bobo343bo27$239b2o$238bobo$240bo3b3o$
246bo$245bo2$329b2o$240b2o86b2o$241b2o87bo$240bo4b2o$244bobo$246bo!
Edit: Canonical 1-2-3-4 in 49 gliders, thanks to a cheap "tail to at-claw" component ripped from the xs20-synthesis thread:

Code: Select all

x = 550, y = 38, rule = B3/S23
259bo$257b2o$258b2o5$240bo114bo137bo41bo$145bo92bobo12bo46bo52b2o8bo
129bobo37bobo$145bobo91b2o12bobo36bo8b2o51b2o7bobo40bo86b2o39b2o$145b
2o106b2o35bobo7b2o61b2o35bobo3bobo36b2o36bo61bo$291b2o108b2o3b2o36bo2b
o36b2o57b2o$91bo309bo37bobo2bo2bo35b2o6bo45bo6b2o$89bobo257bo3bobo84b
2o3b2o43bo47bo$90b2o4bobo34bo4bo161bobo3bo40bobo3b2o85bo49b3o43b3o$96b
2o33bobo4bobo160b2o3bobo39b2o4bo$97bo34b2o4b2o11bo149bo4b2o$52b2o40bo
56bobo340bo39bo$51bo2bo39b2o55b2o48bo291bobo37bobo$15bo36b2o39bobo105b
obo157bo120bo11bo37bobo11bo$13b2o31b2o8b2o40b2o42b2o57b2o2b3o147b2o3bo
bo34bo5bo37bo5bo35b2o6bo5bo34bo4bo6b2o$14b2o31bo8bobo40bo41bobo8b2o34b
2o3bo11bo35b2o3bo4b3o40b2o3b2o43bo10bo2bo2bo34bobo3bobo35bobo3bobo33b
2o6bobo3bobo30b2ob2o2bobo6b2o$46bo9bo41bo41bo10b2o35bo2b3o12bo34bo2b3o
5b3o39bo2bo2bo10bo32b2o10b2ob2o36bo2bo2bo37bo2bo2bo43bo2bo2bo31bobo2bo
2bo$46b2o50b2o41b2o10bo35b2o51b2o51b2ob2o10b2o31bobo12bo39b2ob2o39b2ob
2o33bo11b2ob2o35b2ob2o11bo$12b2o34bo51bo42bo12b2o33bo52bo52bo12bobo45b
o41bo43bo36bo12bo39bo12bo$12bobo33bo51bo42bo11b2o34bo52bo52bo58b2o42bo
43bo34b3o12bo39bo12b3o$12bo33b2o50b2o41b2o14bo31b2o11b2o38b2o51b2o59bo
41b2o42b2o48b2o38b2o$46bo51bo42bo47bo12bobo37bo52bo61bo40bo43bo49bo39b
o$47bo51bo42bo47bo11bo40bo52bo59b2o41bo43bo49bo39bo$46b2o50b2o41b2o46b
2o51b2o51b2o101b2o42b2o37b2o9b2o38b2o12b2o$bo11b2o235b2o2b2o226b2o61b
2o$b2o9b2o235bobob2o226bo65bo$obo11bo236bo3bo285bo$540b2o$540bobo$247b
3o$249bo$248bo!
Edit 2: Kazyan had noticed a four-glider improvement with one of the tub-conversions; here's the resultant 45-glider synthesis:

Code: Select all

x = 498, y = 38, rule = B3/S23
260bo$258b2o$259b2o5$241bo199bo41bo$133bobo103bobo12bo46bo139bobo37bob
o$134b2o104b2o12bobo36bo8b2o50bo86b2o39b2o$134bo119b2o35bobo7b2o45bobo
3bobo36b2o36bo61bo$146bobo143b2o55b2o3b2o36bo2bo36b2o57b2o$91bo50bo3b
2o201bo37bobo2bo2bo35b2o6bo45bo6b2o$89bobo49bo5bo240b2o3b2o43bo47bo$
90b2o4bobo42b3o157bobo3bo80bo49b3o43b3o$96b2o204b2o3bobo$97bo33bo19bo
150bo4b2o$52b2o40bo37b2o16bo291bo39bo$51bo2bo39b2o35b2o17b3o49bo238bob
o37bobo$15bo36b2o39bobo106bobo225bo11bo37bobo11bo$13b2o31b2o8b2o40b2o
42b2o8bo36bo12b2o2b3o33bo52bo49bo5bo37bo5bo35b2o6bo5bo34bo4bo6b2o$14b
2o31bo8bobo40bo41bobo7b2o35bobo3bo11bo34bobo3bo4b3o39bobo3b2o42bobo3bo
bo35bobo3bobo33b2o6bobo3bobo30b2ob2o2bobo6b2o$46bo9bo41bo41bo10bobo35b
o2b3o12bo34bo2b3o5b3o39bo2bo2bo10bo32bo2bo2bo37bo2bo2bo43bo2bo2bo31bob
o2bo2bo$46b2o50b2o41b2o13bo33b2o51b2o51b2ob2o10b2o33b2ob2o39b2ob2o33bo
11b2ob2o35b2ob2o11bo$12b2o34bo51bo42bo11b2o35bo52bo52bo12bobo34bo43bo
36bo12bo39bo12bo$12bobo33bo51bo42bo11bobo34bo52bo52bo49bo43bo34b3o12bo
39bo12b3o$12bo33b2o50b2o41b2o47b2o11b2o38b2o51b2o48b2o42b2o48b2o38b2o$
46bo51bo42bo48bo12bobo37bo52bo49bo43bo49bo39bo$47bo51bo42bo48bo11bo40b
o52bo49bo43bo49bo39bo$46b2o50b2o41b2o47b2o51b2o51b2o48b2o42b2o37b2o9b
2o38b2o12b2o$bo11b2o236b2o2b2o173b2o61b2o$b2o9b2o236bobob2o173bo65bo$o
bo11bo237bo3bo232bo$488b2o$488bobo$248b3o$250bo$249bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
ihatecorderships
Posts: 309
Joined: April 11th, 2021, 12:54 pm
Location: Falls Church, VA

Re: Synthesising Oscillators

Post by ihatecorderships » May 19th, 2021, 2:39 pm

Could xp4_8cf3jggj3fc8zy0pvvpz13fccwccf31 be synthesized? There are 200 soups yet still no synthesis.

Code: Select all

x = 12, y = 14, rule = B3/S23
2b3o2b3o$2b3o2b3o$b2o6b2o$3o6b3o$4b4o$4b4o$5b2o$5b2o$4b4o$4b4o$3o6b3o$b2o6b2o
$2b3o2b3o$2b3o2b3o!
-- Kalan Warusa
Don't drink and drive, think and derive.

User avatar
dvgrn
Moderator
Posts: 10565
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Synthesising Oscillators

Post by dvgrn » May 19th, 2021, 4:31 pm

ihatecorderships wrote:
May 19th, 2021, 2:39 pm
Could xp4_8cf3jggj3fc8zy0pvvpz13fccwccf31 be synthesized? There are 200 soups yet still no synthesis.

Code: Select all

x = 12, y = 14, rule = B3/S23
2b3o2b3o$2b3o2b3o$b2o6b2o$3o6b3o$4b4o$4b4o$5b2o$5b2o$4b4o$4b4o$3o6b3o$b2o6b2o
$2b3o2b3o$2b3o2b3o!
Soups that produce that p4 later than the first few generations seem to be rather rare, but this soup certainly looks amenable to synthesis:

Code: Select all

x = 18, y = 34, rule = B3/S23
o2b3o6b3o2bo$bobo2bo4bo2bobo$o5bo4bo5bo$3b2o8b2o$4b2o6b2o$2b2o10b2o$b
3o10b3o$2bo12bo4$2b3o8b3o$5bo6bo$3b3o6b3o2$8b2o$7bo2bo$7bo2bo$8b2o2$3b
3o6b3o$5bo6bo$2b3o8b3o4$2bo12bo$b3o10b3o$2b2o10b2o$4b2o6b2o$3b2o8b2o$o
5bo4bo5bo$bobo2bo4bo2bobo$o2b3o6b3o2bo!
I only checked soups #181 through #190, so very likely there's a better option. Seems like this soup from that group ought to give enough hints, too, I just haven't found the right angle yet:

Code: Select all

x = 22, y = 22, rule = B3/S23
obo16bobo$b2o16b2o$bo18bo$4bo12bo$4b2o10b2o2$5bo10bo$4bo12bo$4bo12bo2$
5b2o3b2o3b2o$5b2o3b2o3b2o2$4bo12bo$4bo12bo$5bo10bo2$4b2o10b2o$4bo12bo$
bo18bo$b2o16b2o$obo16bobo!

User avatar
ihatecorderships
Posts: 309
Joined: April 11th, 2021, 12:54 pm
Location: Falls Church, VA

Re: Synthesising Oscillators

Post by ihatecorderships » May 19th, 2021, 4:55 pm

This is my first time trying at a synthesis of anything, so hope this works.
I found a way to insert the banana sparks

Code: Select all

x = 22, y = 16, rule = B3/S23
2bobo12bobo$3b2o12b2o$3bo14bo2$b2o16b2o$obo16bobo$2bo16bo$5b2o3b2o3b2o
$5b2o3b2o3b2o$2bo16bo$obo16bobo$b2o16b2o2$3bo14bo$3b2o12b2o$2bobo12bob
o!
[[ STOP 8 ]]
Now we just need to get the pre-blocks in.
-- Kalan Warusa
Don't drink and drive, think and derive.

MathAndCode
Posts: 5140
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » May 19th, 2021, 5:06 pm

ihatecorderships wrote:
May 19th, 2021, 4:55 pm
I found a way to insert the banana sparks

Code: Select all

x = 22, y = 16, rule = B3/S23
2bobo12bobo$3b2o12b2o$3bo14bo2$b2o16b2o$obo16bobo$2bo16bo$5b2o3b2o3b2o
$5b2o3b2o3b2o$2bo16bo$obo16bobo$b2o16b2o2$3bo14bo$3b2o12b2o$2bobo12bob
o!
[[ STOP 8 ]]
Now we just need to get the pre-blocks in.
Your method of inserting the banana sparks is invalid (at least if used for all four banana sparks) because if the gliders tried to come from infinity, some of them would have collided prematurely, breaking the synthesis. Also, the two-glider synthesis of the banana sparks has a backspark that will make getting the block in difficult. However, it is at least theoretically possible.

Code: Select all

x = 20, y = 24, rule = B3/S23
5bo8bo$4bo10bo$2b3o10b3o$5bo8bo2$3b2o10b2o2$o3bo10bo3bo$2obo12bob2o$2b
o14bo2$4b2o3b2o3b2o$4b2o3b2o3b2o2$2bo14bo$2obo12bob2o$o3bo10bo3bo2$3b
2o10b2o2$5bo8bo$2b3o10b3o$4bo10bo$5bo8bo!
However, that method isn't compatible with letting the four gliders hit the beehive parents in the proper way.



Edit: Getting gliders* in is at least theoretically possible, but the feasibility of making this avenue work is dubious at best.

Code: Select all

x = 32, y = 28, rule = B3/S23
2bo26bo$4o24b4o$3b3o5bo8bo5b3o$3b3o4bo10bo4b3o$6bob3o10b3obo$3b3o5bo8b
o5b3o$3b3o20b3o$9b2o10b2o2$6bo3bo10bo3bo$6b2obo12bob2o$8bo14bo2$10b2o
3b2o3b2o$10b2o3b2o3b2o2$8bo14bo$6b2obo12bob2o$6bo3bo10bo3bo2$9b2o10b2o
$3b3o20b3o$3b3o5bo8bo5b3o$6bob3o10b3obo$3b3o4bo10bo4b3o$3b3o5bo8bo5b3o
$4o24b4o$2bo26bo!
*not actually gliders but instead glider parents that have started interacting by the time that they would have become gliders
I am tentatively considering myself back.

User avatar
dvgrn
Moderator
Posts: 10565
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Synthesising Oscillators

Post by dvgrn » May 19th, 2021, 5:46 pm

Honestly the best way to tackle this synthesis is probably to take the time to look at all 200 soups. I checked soups 171 through 180, and found this one, which implies a trivial synthesis at a couple of points, notably

Code: Select all

x = 90, y = 104, rule = B3/S23
55bo$55bobo$55b2o5$63bo$63bobo$63b2o7$26b2o34b2o$26bobo32bobo$27bo34bo
4$47bo$46bobo$47b2o5$24bo40bo$23bobo38bobo$23bobo38bobo$24bo40bo13$b2o
15b2o50b2o15b2o$obo14bo2bo48bo2bo14bobo$2o16b2o50b2o16b2o$35b2o16b2o$
35b2o16b2o$9bo34b2o34bo$8bobo32bo2bo32bobo$8bobo32bo2bo32bobo$9bo34b2o
34bo$35b2o16b2o$35b2o16b2o$2o16b2o50b2o16b2o$obo14bo2bo48bo2bo14bobo$b
2o15b2o50b2o15b2o13$24bo40bo$23bobo38bobo$23bobo38bobo$24bo40bo5$47b2o
$46bobo$47bo4$27bo34bo$26bobo32bobo$26b2o34b2o7$63b2o$63bobo$63bo5$55b
2o$55bobo$55bo!
But "trivial" very obviously doesn't mean "minimal"! My 20-soup survey says there are probably a couple dozen more promising soups in the #1-through-#170 and #191-through-#200 ranges, and the odds are very good that one of them will allow for a much better synthesis than the above. If half a dozen people will sign up for 30 soups each, the soup-checking could get done pretty fast --!

(Or maybe someone can see how to make a synthesis out of the final stages of this. I tried to dig something up with the octohash database, but nothing lined up before I ran out of patience. Possibly spark_search could do something to replace the subtle sabotage in the final four sabotaged LOM explosions that create the oscillator?)

User avatar
wwei47
Posts: 1648
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » May 19th, 2021, 9:15 pm

Partial cleanup:

Code: Select all

x = 120, y = 134, rule = LifeHistory
2.2A112.2A$2.2A51.2A6.2A51.2A$55.2A6.2A8$59.2A$59.2A4$70.A$70.A.A$2A
68.2A46.2A$2A116.2A3$30.2A56.2A$30.2A46.A9.2A$78.A.A$78.2A7$41.2A34.
2A$41.A.A32.A.A$2.2A38.A34.A38.2A$2.2A112.2A3$62.A$61.A.A$62.2A5$39.A
40.A$38.A.A38.A.A$38.A.A38.A.A$39.A40.A7$11.2A94.2A$4.A6.2A94.2A6.A$
3.A.A108.A.A$4.2A108.2A3$16.2A15.2A50.2A15.2A$15.A.A14.A2.A48.A2.A14.
A.A$15.2A16.2A50.2A16.2A$50.2A16.2A$50.2A16.2A$24.A34.2A34.A$5.2A16.A
.A32.A2.A32.A.A16.2A$5.2A16.A.A32.A2.A32.A.A16.2A$24.A34.2A34.A$50.2A
16.2A$50.2A16.2A$15.2A16.2A50.2A16.2A$15.A.A14.A2.A48.A2.A14.A.A$16.
2A15.2A50.2A15.2A3$4.2A108.2A$3.A.A108.A.A$4.A6.2A94.2A6.A$11.2A94.2A
7$39.A40.A$38.A.A38.A.A$38.A.A38.A.A$39.A40.A5$62.2A$61.A.A$62.A3$2.
2A112.2A$2.2A38.A34.A38.2A$41.A.A32.A.A$41.2A34.2A7$78.2A$78.A.A$30.
2A46.A9.2A$30.2A56.2A3$2A116.2A$2A68.2A46.2A$70.A.A$70.A4$59.2A$59.2A
8$55.2A6.2A$2.2A51.2A6.2A51.2A$2.2A112.2A!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
EvinZL
Posts: 846
Joined: November 8th, 2018, 4:15 pm
Location: A tungsten pool travelling towards the sun
Contact:

Re: Synthesising Oscillators

Post by EvinZL » May 19th, 2021, 9:29 pm

The base reaction is pond+four ts and block predecessors, and it looks cheaply synthable:

Code: Select all

x = 20, y = 12, rule = LifeHistory
6.2A4.2A$.3A2.3A2.3A2.3A$A.3A.2A4.2A.3A.A2$9.2A$8.A2.A$8.A2.A$9.2A2$A
.3A.2A4.2A.3A.A$.3A2.3A2.3A2.3A$6.2A4.2A!

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Synthesising Oscillators

Post by GUYTU6J » May 19th, 2021, 9:49 pm

A better blonkic reaction from the 44th soup:

Code: Select all

x = 60, y = 50, rule = B3/S23
6b2o5bo32bo5b2o$6b2o5bo32bo5b2o$13bo32bo$2o56b2o$2o13b3o24b3o13b2o2$
13bo32bo$13bo32bo$13bo32bo8$15bo28bo$16bo26bo$14b3o26b3o4$15b2o26b2o$
15b2o26b2o3$15b2o26b2o$15b2o26b2o4$14b3o26b3o$16bo26bo$15bo28bo8$13bo
32bo$13bo32bo$13bo32bo2$2o13b3o24b3o13b2o$2o56b2o$13bo32bo$6b2o5bo32bo
5b2o$6b2o5bo32bo5b2o!
No cleanup is provided because I can't run my Seeds of Destruction even though both Java (jre?) and JDK exist.

User avatar
wwei47
Posts: 1648
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » May 19th, 2021, 9:53 pm

GUYTU6J wrote:
May 19th, 2021, 9:49 pm
No cleanup is provided because I can't run my Seeds of Destruction even though both Java (jre?) and JDK exist.
This gets pretty close:

Code: Select all

x = 60, y = 50, rule = LifeHistory
6.2A5.A32.A5.2A$6.2A5.A32.A5.2A$13.A32.A$2A56.2A$2A13.3A24.3A13.2A2$
13.A32.A$13.A32.A$13.A32.A8$15.A28.A$16.A26.A$14.3A26.3A4$15.2A26.2A$
15.2A26.2A$2A56.2A$2A56.2A$15.2A26.2A$15.2A26.2A4$14.3A26.3A$16.A26.A
$15.A28.A8$13.A32.A$13.A32.A$13.A32.A2$2A13.3A24.3A13.2A$2A56.2A$13.A
32.A$6.2A5.A32.A5.2A$6.2A5.A32.A5.2A!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
EvinZL
Posts: 846
Joined: November 8th, 2018, 4:15 pm
Location: A tungsten pool travelling towards the sun
Contact:

Re: Synthesising Oscillators

Post by EvinZL » May 20th, 2021, 11:11 am

I took one of the soups and slightly modified it. Both active regions have many good octohashes. Using the database, I made this (places the middle regions seven ticks after the outer ones)

Code: Select all

x = 18, y = 30, rule = LifeHistory
4B10.4B$3D2B8.2B3D$3BDB8.BD3B$DB2D2B6.2B2DBD$B2D3B6.3B2DB$.5B6.5B$2.
3B8.3B2$3.B10.B$2.3B8.3B$.4DB6.B4D$.B3DB6.B3DB$4.D8.D$8.2A$7.A2.A$7.A
2.A$8.2A$4.D8.D$.B3DB6.B3DB$.4DB6.B4D$2.3B8.3B$3.B10.B2$2.3B8.3B$.5B
6.5B$B2D3B6.3B2DB$DB2D2B6.2B2DBD$3BDB8.BD3B$3D2B8.2B3D$4B10.4B!
EDIT: after more searching through the octodb, this looks quite promising! There should be a glider+ship replacement to simultaneously "ingite" the longboats for both sides:

Code: Select all

x = 24, y = 35, rule = LifeHistory
5.D12.D$4.D.D10.D.D$3.D16.D$4.D.D10.D.D$5.D12.D2$6.D10.D$6.2D8.2D$5.D
2.D6.D2.D$7.2D6.2D$7.D8.D$11.2A$4.2C4.A2.A4.2C$3.CBCB3.A2.A3.BCBC$3.2C
B5.2A5.B2C$.6BC8.C6B$3D.2BCBC6.CBC2B.3D$B.D.BCBCB6.BCBCB.D.B$.D3.2CB8.
B2C3.D$6.B10.B2$5.B2C8.2CB$4.2B2C8.2C2B$3.5B8.5B$4.4B8.4B$4.4B8.4B$3.
5B8.5B$3.4B2C6.2C4B$2.6BC2B2.2BC6B$3.2B3C8B3C2B$4.BC12BCB$4.16B$5.2C4B
2.4B2C$4.CBC2B6.2BCBC$5.BC10.CB!
#C [[ PASTET 12 PASTE 3C$..C$.C.! 0 16 PASTE 3C$C..$.C.! 21 16 PASTET 21 PASTE 2.C12.C$.C.C10.C.C$C16.C$.C.C10.C.C$2.C12.C2$3.C10.C$3.2C8.2C$2.C2.C6.C2.C$4.2C6.2C$4.C8.C! 3 0 STOP 33 ]]
It's probably an easy task for sat solver but I'm too lazy

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Synthesising Oscillators

Post by GUYTU6J » May 21st, 2021, 11:16 am

Diverting from the topic above, I haven't done any syntheses recently, so here are two oscillators.
The first is Raucci and M&C's recent p120 pi-hassler in 42G:

Code: Select all

x = 249, y = 144, rule = B3/S23
234bo$233bo$233b3o8$182bo$180bobo$181b2o$233bo$233bobo$222bo10b2o$220b
2o$221b2o$159bo11bo$157bobo12bo$158b2o10b3o4$197bobo$198b2o$198bo2$
209bo25bo$208bo26bobo$208b3o24b2o3$168bobo$87bo81b2o$87bobo79bo$87b2o
88bo$178b2o$177b2o2$225bo$225bobo$225b2o$50bo$51bo$49b3o$87bo83bo$86bo
82bobo$86b3o81b2o12bo$185bo$183b3o5$228b2o$228b2o$95bo$95bobo$95b2o5$
10bobo157bobo$10bo3bo155bo3bo50b2obob2o$2o12bo145b2o12bo$2o8bo4bo144b
2o8bo4bo49bo5bo$14bo159bo$10bo3bo155bo3bo51b2ob2o$10bobo157bobo55bo3$
17bo159bo55bobo$15b2ob2o155b2ob2o51bo3bo$231bo$14bo5bo153bo5bo49bo4bo
8b2o$231bo12b2o$14b2obob2o153b2obob2o50bo3bo$233bobo3$90b2o$89b2o$91bo
3$16b2o158b2o$16b2o158b2o5$220b3o$92b2o126bo$92bobo9b3o114bo12b2o$92bo
11bo129bobo$57bo47bo128bo$57b2o$56bobo2$179b2o$178bobo$180bo2$227b2o$
226b2o$228bo$236bo$235b2o$235bobo3$169b2o24b3o$168bobo26bo$170bo25bo2$
207bo$206b2o$206bobo4$233b3o10b2o$233bo12bobo$234bo11bo$183b2o$184b2o$
171b2o10bo$170bobo$172bo$223b2o$223bobo$223bo8$170b3o$172bo$171bo!
And the second is a p618 featuring Kazyan's G4 receiver, with both the simple blinker and the more complicated pi-to-2G catalyst.

Code: Select all

x = 831, y = 133, rule = B3/S23
779bobo$780b2o$780bo5$605bobo$605b2o$606bo10$271bo533bo$272bo531bo$
270b3o531b3o2$364bobo$365b2o411bobo5bo$281bo83bo84bo119bo37b2o160bo8b
2o5b3o19b2o$282bo165b3o117b3o37bo107bo51b3o8bo9bo18bo$280b3o69b2o78b2o
13bo104b2o13bo38bobo108b2o33b2o13bo20b2o16bobo$352b2o78b2o13b2o103b2o
13b2o37b2o108b2o34b2o13b2o37b2o$456bo155bobo176bo$283bo171bo156b2o177b
obo$283bobo76b3o90b3o155bo177b2o$283b2o63bo15bo63bo119bo199bo$348bo14b
o64bo119bo168bo30bo$348bo79bo119bo21b2o146b2o28bo21b2o$479bo90b2o145b
2o51b2o$452b3o23bo$452bo25b3o18bo128bobo$453bo21bo22b2o128b2o$474b2o
22bobo128bo$474bobo2$799b2o$799b2o2$607b3o$607bo$608bo$621bo$620bo$
620b3o6$616bo$615b2o$615bobo5$479bobo$479b2o22bobo$228bo251bo22b2o294b
2o$227bo276bo294b2o$227b3o5$5bo49bo79bo59bo79bo69bo79bo119bo199bo$4bob
o47bobo77bobo57bobo77bobo23b2o42bobo23b2o52bobo23b2o92bobo23b2o172bobo
23b2o$4bobo47bobo77bobo57bobo77bobo23b2o42bobo23b2o52bobo23b2o92bobo
23b2o172bobo23b2o$3b2ob2o45b2ob2o75b2ob2o15bo39b2ob2o75b2ob2o65b2ob2o
75b2ob2o115b2ob2o195b2ob2o$2bo2bo2bo43bo2bo2bo73bo2bo2bo15bo37bo2bo2bo
73bo2bo2bo63bo2bo2bo73bo2bo2bo54b3o56bo2bo2bo193bo2bo2bo$bobobobobo41b
obobobobo71bobobobobo12b3o36bobobobobo71bobobobobo61bobobobobo71bobobo
bobo53bo57bobobobobo191bobobobobo$2bobobobo43bobobobo73bobobobo53bobob
obo73bobobobo63bobobobo73bobobobo55bo57bobobobo193bobobobo$4bobo47bobo
77bobo57bobo77bobo67bobo77bobo117bobo197bobo$3bo2bo46bo2bo20bo55bo2bo
8b2o46bo2bo8b2o10b2o54bo2bo8b2o10b2o44bo2bo8b2o10b2o54bo2bo8b2o10b2o
94bo2bo8b2o10b2o37b2o135bo2bo8b2o10b2o37b2o$4b2o48b2o21bobo54b2o9bo48b
2o9bo11bo56b2o9bo11bo46b2o9bo11bo56b2o9bo11bo96b2o9bo11bo38bobo135b2o
9bo11bo20b2o16bobo$77b2o67b3o57b3o9b3o9b3o53b3o9b3o55b3o9b3o65b3o9b3o
105b3o9b3o37bo147b3o9b3o18bo18bo$148bo6bo52bo11bo9bo57bo11bo57bo11bo
67bo11bo107bo11bo37b2o148bo11bo15b3o19b2o$55b2o17b2o59b2o18b2o38b2o34b
o43b2o68b2o78b2o118b2o198b2o39bo$55b2o16b2o60b2o17bobo38b2o78b2o68b2o
78b2o118b2o198b2o$75bo$7b3o$7bo$8bo$3o623bo$2bo622b2o$bo623bobo3$84bo$
83b2o$83bobo607b2o$694b2o$693bo2$90b3o722b2o$90bo724bobo$91bo723bo$
692b2o$693b2o$692bo62bo$755b2o$754bobo3$828b3o$619bo208bo$618b2o209bo$
618bobo16$756bo$756b2o$755bobo!
I didn't submit to catagolue because 1) my internet connection was poor and 2) I wasn't sure whether the separation between parts is proper.

User avatar
EvinZL
Posts: 846
Joined: November 8th, 2018, 4:15 pm
Location: A tungsten pool travelling towards the sun
Contact:

Re: Synthesising Oscillators

Post by EvinZL » May 21st, 2021, 12:15 pm

Another potential method, again from soup+octodb

Code: Select all

x = 24, y = 24, rule = LifeHistory
.C20.C$2.C18.C$3C18.3C$7.2C6.2C$9.C4.C$4.5C6.5C$11.2C$11.2C4$11.2C$
11.2C4$11.2C$11.2C$4.5C6.5C$9.C4.C$7.2C6.2C$3C18.3C$2.C18.C$.C20.C!
Of course, if the synth of those active regions isn't good enough for the glider, one can use an lwss instead.

EDIT:
Um, with the obvious from octodb method, a superstring just barely gets in:

Code: Select all

x = 14, y = 10, rule = LifeHistory
.2A2.2A2.2A2.A$14C6$6.3C2.2C$7.2C.C2.C$6.C4.2C!
Looks viable, but not necessarily cheap:

Code: Select all

x = 32, y = 32, rule = LifeHistory
.2A2.2A2.2A2.A4.A2.2A2.2A2.2A$14C4.14C6$6.3C2.2C6.2C2.3C$7.2C.C2.C4.C
2.C.2C$6.C4.2C6.2C4.C$15.2C$15.2C4$15.2C$15.2C4$15.2C$15.2C$6.C4.2C6.
2C4.C$7.2C.C2.C4.C2.C.2C$6.3C2.2C6.2C2.3C6$14C4.14C$.2A2.2A2.2A2.A4.A
2.2A2.2A2.2A!
What are the cheapest superstrings?

EDIT2: Macbi's string here can work for the eater-like reaction

EDIT3: There should be a pertubation of this that inserts the eater-like reactant by itself:

Code: Select all

x = 9, y = 9, rule = LifeHistory
.2C$C2.C$.2C4$6.2C$5.C2.C$4.2C.2C!

MathAndCode
Posts: 5140
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » May 21st, 2021, 9:37 pm

I just submitted this to Catagolue.

Code: Select all

x = 4482, y = 181, rule = B3/S23
1644bo412bo$1642b2o414b2o$1643b2o412b2o10$3234bobo$1012bobo2219b2o$1012b
2o2221bo$1013bo13$3149bo62bo$3150b2o58b2o$2620bobo526b2o60b2o$2621b2o
$2621bo2$348bo$349bo2831bobo$347b3o2831b2o$3182bo2$3208bo$3207bo$3207b
3o$365b2o5bo$365b2o5bo1713b2o5bo$4bobo6bobo356bo1142b2o5bo563b2o5bo$5b
2o6b2o1500b2o5bo570bo$5bo8bo359b3o1145bo557b2o1099bobo$1509b2o569b2o13b
3o1083b2o$372bo1136b2o13b3o1655bo$372bo1720bo$372bo1149bo570bo1114bo$
1522bo570bo520b2o5bo585bo$1522bo1091b2o5bo460bobo122b3o$2621bo461b2o$
2608b2o473bo53b2o5bo$2608b2o13b3o511b2o5bo$3144bo463bobo$bo2619bo509b
2o476b2o$b2o2618bo509b2o13b3o460bo322bo$obo364b2o2252bo1309bobo545bob
o$366b2o2737bo38bo786bobo545b2o$368bo2737b2o36bo787bo547bo$3105b2o37b
o$3616bo36bo$3615bobo34bobo$3615bobo34bobo562bo$3616bo36bo562bobo254b
o$2080b2o2134bobo253bobo$1509b2o569b2o2135bo254bobo$1509b2o2962bo$931b
2o5bo$931b2o5bo$938bo$925b2o$925b2o13b3o2967bo6bo$2608b2o1299bobo4bob
o$938bo1669b2o1300bo6bo$938bo2967bob4o4b4obo$938bo2192b2o56b2o716bobo
bo4bobobo$3131b2o56b2o440bo6bo270b3o4b3o$3630bobo4bobo269b3o4b3o$3631b
o6bo268bobobo4bobobo274bo6bo$3627bob4o4b4obo263bob4o4b4obo272bobo4bob
o247bo6bo$3628bobobo4bobobo268bo6bo277bo6bo247bobo4bobo$2126bo1503b3o
4b3o269bobo4bobo272bob4o4b4obo244bo6bo$2126bo1503b3o4b3o270bo6bo274bo
bobo4bobobo241bob4o4b4obo$2126bo1501bobobo4bobobo552b3o4b3o244bobobo4b
obobo$3627bob4o4b4obo551b3o4b3o246b3o4b3o$2122b3o1506bo6bo553bobobo4b
obobo244b3o4b3o$3630bobo4bobo551bob4o4b4obo241bobobo4bobobo$2126bo1504b
o6bo556bo6bo244bob4o4b4obo$2126bo5b2o2060bobo4bobo247bo6bo$2126bo5b2o
520bo1540bo6bo247bobo4bobo$2654bo1796bo6bo$2654bo$3177bo37b2o$2650b3o
13b2o509bo36b2o$2666b2o509bo38bo$2654bo1240bo36bo$2654bo5b2o511b3o13b
2o703bobo34bobo$2654bo5b2o527b2o703bobo34bobo$3177bo717bo36bo$3177bo5b
2o$3177bo5b2o53bo377bo36bo$3237b2o376bobo34bobo$3112b3o122bobo375bobo
34bobo562bo$3114bo501bo36bo234bo327bobo$3113bo774b2o326bobo$3887bobo327b
o$3139bo$3139b2o$3138bobo2$4224bo$4223b2o$4223bobo$3112b3o$3114bo$3113b
o2$3139bo$2618bo520b2o$2618b2o518bobo$2617bobo4$3109b2o60b2o$3110b2o58b
2o$3109bo62bo14$3086bo$3086b2o$3085bobo22$1477b2o160b2o$1478b2o158b2o
$1477bo162bo2$2222b3o$2222bo$2223bo5$842b2o$841bobo$843bo!
Let's hope that the measures that I took in order to prevent Catagolue from separating parts of the same step work.
I am tentatively considering myself back.

User avatar
Extrementhusiast
Posts: 1966
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: Synthesising Oscillators

Post by Extrementhusiast » May 23rd, 2021, 4:27 pm

iNoMed wrote:
May 18th, 2021, 9:53 am
Here's a 62-glider synthesis of the canonical version of "1-2-3-4", inspired by the 23-glider Mini Pressure Cooker synthesis and begging for a reduction to the 36-glider synthesis for xs19_354q453z0bd:

Code: Select all

(several RLEs)
When I had made the original synthesis of the canonical variant, I had been lacking a way to convert any inductor to a single bit on a row of five. Now that such a component is known, I found a modification that completes the whole thing in 27 gliders:

Code: Select all

x = 314, y = 37, rule = B3/S23
252bo$253b2o$252b2o3$263bobo$52bo210b2o$52bobo202bo6bo$52b2o201bobo$
256b2o3bo$54bo150bo53b2o$54b2o150bo53b2o$53bobo148b3o2bo$61bobo35b2o
52b2o55b2o5b2o47b2o40b2o$19bo37bo3b2o37bo53bo54b2o7bo48bo41bo$18bo37bo
bo3bo36bo53bo63bo48bo41bo$18b3o36b2o41b3o51b3o61b3o41b2obob3o37bob3o$
103bo40bo12bo47b2o14bo40b2obo4bo36bo4bo$61b2o39bobo37bobo11bobo47b2o5b
3o4bobo42bobobobo34b2obobobo$60b2o41bo39b2o12bo47bo15bo40b2obo4bo36bo
4bo$57bo4bo37bo12bo40b3o54b2o5b3o41b2obob3o37bob3o$56bobo40bobo9b2o32b
3o5bo56bobo4bo48bo41bo$5bo51bo38bo3bo4bobo4b2o33bo6bo57bo5bo48bo41bo$
3b2o89bobo8b2o39bo6b2o62b2o47b2o40b2o$o3b2o89b2o9bo$b2o209b2o46b2o$2o
105b3o101b2o46b2o$107bo105bo42b2o3bo$108bo146bobo$257bo6bo$97b2o164b2o
$96b2o165bobo$98bo2$252b2o$253b2o$252bo!
I Like My Heisenburps! (and others)

MathAndCode
Posts: 5140
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » May 23rd, 2021, 5:19 pm

iNoMed wrote:
May 18th, 2021, 9:53 am
Here's a 62-glider synthesis of the canonical version of "1-2-3-4", inspired by the 23-glider Mini Pressure Cooker synthesis and begging for a reduction to the 36-glider synthesis for xs19_354q453z0bd:
I found another fast component that works with it.

Code: Select all

x = 508, y = 44, rule = B3/S23
24bo$24bobo217bo$24b2o216bobo$8bo117bo116b2o$9b2o113bobo137bo$8b2o12b
o102b2o135b2o$21bo114bo109bo16b2o$21b3o110b2o111bo$128bo6b2o108b3o$129b
o$8bo118b3o$2bo3bobo$obo4b2o$b2o19bo102bo$21bobo100bobo$22bo100bobo11b
o$19bo5bo97bo4bo6b2o111bo127bo$18bobo3bobo93b2ob2o2bobo6b2o109bobo125b
obo$19bo2bo2bo92b3obo2bo2bo117bobo125bobobo$20b2ob2o92bo5b2ob2o11bo106b
o4bo122bobobo120bo$22bo95bo6bo12bo104b2ob2o2bobo118b2ob2ob2ob2o116bob
o$22bo96bo5bo12b3o100b3obo2bo2bo117b3obo5bobo115bobobo$23b2o93b2o6b2o
112bo5b2ob2o117bo5b5o118bobobo$24bo102bo113bo6bo13bobo104bo6bo117b2ob
2ob2ob2ob2o$23bo102bo115bo5bo13b2o106bo121b3obo5bob2obo$23b2o101b2o9b
2o102b2o6b2o12bo105b2o120bo5b5o$4b2o130b2o112bo124bo116bo6bo$3bobo132b
o110bo124bobo116bo$5bo112bo130b2o123bobo115b2o$118b2o142b3o110bo122bo
$10b3o104bobo138b2o2bo234bobo$12bo3bo240b2o4bo233bobo$11bo3b2o242bo118b
3o117bo$15bobo109b2o249bo$126b2o251bo$128bo372b3o$236bo264bo$12b3o221b
2o264bo$14bo220bobo$13bo2$255b2o$254b2o$256bo!
None of the versions with hooks siamese something are accommodated by the the bi-block->single bit slow component that Extrementhusiast demonstrated. (Also, for the bi-block version, only one hook can be replaced with a hook siamese something by using a different fast component.) However, I'm sure that slow components will work if necessary; they'll just be more expensive.
I am tentatively considering myself back.

User avatar
iNoMed
Moderator
Posts: 606
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » May 25th, 2021, 1:02 pm

34P14-supported Tetradecathlon in 42 gliders (Down from 57G), thanks to a 5-glider reduction of the 34P14 shuttle synthesis (10 gliders in total) and a reworked synthesis for the beehives/blocks that obsoletes the 5-glider beehive inserters:

Code: Select all

x = 751, y = 57, rule = B3/S23
103bo21bo283bo21bo$104bo19bo285bo19bo$102b3o19b3o281b3o19b3o5$125bo
305bo$109bo14bo290bo14bo$107bobo14b3o286bobo14b3o$108b2o304b2o2$80bobo
63bobo303bobo$81b2o63b2o304b2o266bo$81bo65bo305bo267b2o$720b2o2$109bo
317bo$110b2o313b2o75bo$109b2o315b2o75bo$501b3o2$180b2o5b2o57b2o5b2o62b
2o5b2o61b2o5b2o90b2o5b2o20b2o5b2o32b2o5b2o20b2o5b2o48b2o5b2o20b2o5b2o
32b2o5b2o4bobo13b2o5b2o$180b2o5b2o57b2o5b2o62b2o5b2o9bobo12bo36b2o5b2o
90b2o5b2o9bobo8b2o5b2o32b2o5b2o20b2o5b2o48b2o5b2o20b2o5b2o32b2o5b2o5b
2o13b2o5b2o$336b2o10b2o154b2o68b2o84b2o64bo3b2o$111bo224bo12b2o72bobo
79bo68b2o84b2o68b2o$112bo310b2o$110b3o70bobo63bobo68bobo67bobo31bo64bo
bo26bobo38bobo26bobo54bobo26bobo34b3o5b3o18b3o5b3o$410bo17b2o281bo2bo
3bo2bo18bo2bo3bo2bo$115bo64b3o3b3o57b3o3b3o62b3o3b3o61b3o3b3o14bo16b2o
57b3o3b3o20b3o3b3o32b3o3b3o13b2o5b3o3b3o48b3o3b3o13b2o5b3o3b3o32bo7bo
13b2o5bo7bo$113b2o64bo9bo55bo9bo60bo9bo59bo9bo13bo18bo55bo9bo18bo9bo
30bo9bo11bo2bo3bo9bo46bo9bo11bo2bo3bo9bo32bobobobo13bo2bo5bobobobo$
114b2o63b3o5b3o55b3o5b3o60b3o5b3o59b3o5b3o88b3o5b3o18b3o5b3o30b3o5b3o
12b2o4b3o5b3o46b3o5b3o4b2o6b2o4b3o5b3o45b2o6b2o$49bo130bo7bo57bo7bo30b
o31bo7bo61bo7bo90bo7bo20bo7bo32bo7bo20bo7bo48bo7bo4bo2bo12bo7bo34b2ob
2o6bo2bo14b2ob2o$obo44b2o157bobo74b2o371b2o68b2o$b2o36bo8b2o60bo7bo88b
2o66bo8b2o60bo7bo61bo7bo$bo3b3o30bobo68bobo5bobo60b2o5b2o18bo3b3o32b2o
5b2o19bobo40b2o5b2o19bobo5bobo31b2o5b2o19bobo5bobo60b2o5b2o7bo12b2o5b
2o32b2o5b2o20b2o5b2o48b2o5b2o20b2o5b2o33bo5bo22bo5bo$5bo33b2o69b2o5b2o
61b2o5b2o22bo34b2o5b2o20b2o40b2o5b2o20b2o5b2o32b2o5b2o20b2o5b2o61b2o5b
2o7b2o11b2o5b2o32b2o5b2o20b2o5b2o48b2o5b2o20b2o5b2o32b2o5b2o20b2o5b2o$
6bo39b2o164bo69b2o217bobo70bo155b2o$45bobo233bobo285bo3b2o84b2o69b2o3b
o$47bo235bo285b2o2bobo82bobo73b2o$568bobo89bo73bobo$663b2o$663bobo$
663bo3$570b2o$571b2o$83b2o59b2o304b2o118bo$84b2o57b2o304b2o$83bo61bo
305bo4$578b2o$578bobo$578bo!
Edit: and it's down to 38G, thanks to a loaf-based final step by Kazyan:

Code: Select all

x = 264, y = 32, rule = B3/S23
13bo$14bo$12b3o8$3b2o5b2o20b2o5b2o36b2o5b2o20b2o5b2o36b2o5b2o20b2o5b2o
35b2o5b2o8bo11b2o5b2o$3b2o5b2o20b2o5b2o36b2o5b2o20b2o5b2o36b2o5b2o20b
2o5b2o35b2o5b2o7bo12b2o5b2o$240b3o$224bo7bo20bo7bo$223bobo5bobo18bobo
5bobo$3b2o5b2o20b2o5b2o36b2o5b2o20b2o5b2o36b2o5b2o20b2o5b2o33b2ob2o3b
2ob2o16b2ob2o3b2ob2o$2bo2bo3bo2bo18bo2bo3bo2bo34bo2bo3bo2bo18bo2bo3bo
2bo34bo2bo3bo2bo18bo2bo3bo2bo33bo2bo3bo2bo18bo2bo3bo2bo$bo3bo3bo3bo16b
o3bo3bo3bo32bo3bo3bo3bo11bo4bo3bo3bo3bo32bo3bo3bo3bo16bo3bo3bo3bo33bo
7bo6bo13bo7bo$5b2ob2o24b2ob2o40b2ob2o15bo8b2ob2o40b2ob2o15b2o7b2ob2o
37b3o3b3o5bobo5b2o5b3o3b3o$o5bobo5bo14bo5bobo5bo30bo5bobo5bo10bo3bo5bo
bo5bo30bo5bobo5bo9bo2bobo5bobo5bo45bo2bo4bo2bo$bo3bo3bo3bo16bo3bo3bo3b
o32bo3bo3bo3bo16bo3bo3bo3bo32bo3bo3bo3bo10bobo3bo3bo3bo3bo47b2o5bobo$
5bo3bo24bo3bo40bo3bo14b2o8bo3bo40bo3bo15bo8bo3bo59bo$2bo9bo18bo9bo34bo
9bo10bobo5bo9bo34bo9bo18bo9bo$2bo2bo3bo2bo18bo2bo3bo2bo34bo2bo3bo2bo
12bo5bo2bo3bo2bo34bo2bo3bo2bo18bo2bo3bo2bo34b2o5b2o20b2o5b2o$3b2o5b2o
20b2o5b2o36b2o5b2o20b2o5b2o36b2o5b2o9bo10b2o5b2o35b2o5b2o20b2o5b2o$
168b2o$161b2o5bobo72b3o$160bobo82bo$12b2o148bo81bo$11bobo152b3o$13bo
154bo$167bo!
Edit 2: And here's a 25-glider synthesis of the fumarole-supported variant of David Raucci's period-15 honey farm hassler:

Code: Select all

x = 192, y = 35, rule = B3/S23
88bobo$89b2o$89bo$76bobo$77b2o$40bo36bo$41b2o64bo72bo$40b2o48bo14b3o
70b3o$obo88b2o11bo72bo$b2o82bo4b2o12b2o12bobo42b2o12b2o$bo36b2o46b2o
30b2o43bo2b2o$37bobo45b2o32bo44b2ob2o$3bo35bo90bobo34b2o17bo$3bobo124b
2o35b2o16bo$3b2o37b2o41b2o18b2o24bo32b2ob2o9b2o5b3o$42b2o42b2o17b2o56b
o2b2o10b2o$85bo4b2o26bo44b2o$91b2o23b2o$5b2o83bo26b2o4bo66b2o$4b2o33b
2o61b2o17b2o52b2o10b2o2bo$6bo32b2o36bo24b2o18b2o43b3o5b2o9b2ob2o$77b2o
90bo16b2o$43bo32bobo89bo17b2o$43bobo43bo32b2o62b2ob2o$43b2o44b2o30b2o
64b2o2bo$88bobo12b2o12b2o4bo52b2o12b2o$104bo11b2o59bo$41b2o58b3o14bo
55b3o$40b2o59bo72bo$42bo88bo$130b2o$130bobo$119bo$118b2o$118bobo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

MathAndCode
Posts: 5140
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » May 28th, 2021, 7:49 pm

MathAndCode wrote:
May 14th, 2021, 7:29 pm
Here's the activation stage for a Silver's p5 variant:
I wonder whether a synthesis based loosely off of the following reaction can allow a reduction.

Code: Select all

x = 19, y = 24, rule = B3/S23
17bo$18bo$4bo11b3o$5bo$6bo$b2o2bo9b3o$2b3o10bo$2bobo11bo$3b2o$4b2o$3b
o4b2o4b2o$8bo3b2obo$11bo$3o$2bo$bo7b2o$9b2o$3bo$2b2o$2bobo$4b2o$4b2o$
2bo$b3o!


Edit: Here's a demonstration of a potentially useful way to make the block->fishhook spark:

Code: Select all

x = 7, y = 33, rule = B3/S23
4bobo$4b2o$5bo4$4b2o$5bo$2b3o$2bo8$bobo2$2o$2o2bo$o2b2o$2o2bo2$3o$2o$o4$o$o$o!
I am tentatively considering myself back.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Synthesising Caterer-based Oscillators

Post by GUYTU6J » May 31st, 2021, 11:58 am

For celebrating my recent 2019-nCov vaccination, I would like to present some new, versatile edge-shooting caterer syntheses that were extracted manually from the 100 soups in b3s23/G1 census.

The most common caterer-producing reaction consists of a Herschel, a boat and a beehive/boat/tub (see for example this soup starting from generation 1003), which has a relatively narrow envelope but not quite edgeshooting:

Code: Select all

x = 30, y = 16, rule = B3/S23
o$obo$3o$2bo4$14b2o$13bobo$14bo4$27b2o$26bo2bo$27b2o!
Another pair of edge-shooting instances from these soups share a 15-cell cluster which is unknown to both (3-glider) synthesis_patt_v1.2.py and 12x12-1G-octohash:

Code: Select all

x = 15, y = 32, rule = B3/S23
b3o$o3bo$2o3bo$6bo$3bo2bo$6bo$2o3bo6bo$o3bo5b2ob2o$b3o6b2ob2o$13b2o$
13b2o$12b2o11$6b2o$5bo$4bo$5bobo$6bo5bo$10b2ob2o$10b2ob2o$13b2o$13b2o$
6b3o3b2o!
#C [[ STOP 24 ]]
Now comes the first of the usable recipes I got. This soup demonstates a mechanism at gen 2925:

Code: Select all

x = 39, y = 21, rule = B3/S23
23b2o$22bo2bo7bo$23b2o7bobo$32bobo$19bo13bo4bo$6b2o10bobo17bo$6b2o10bo
bo17bo$19bo3$b2o$o2bo18bo$obo13bo4bobo$bo14bo7bo9b2o$16bo4bobo10bobo$
22bo12bo2$26bo$25bobo$25bobo$26bo!
See how the block is directly converted to a caterer on one side? I isolated the final reaction and did some tests.

Code: Select all

x = 24, y = 34, rule = B3/S23
6b2o$6b2o3$15bo$b2o11b2obo$o2bo3b3o5bo2bo$obo4bo8b2o$bo5b3o2$22b2o$21b
2o$23bo8$6b2o$6b2o2$16bo$15bo$b2o11b2o$o2bo3b3o5bobo$b2o3bo9b2o$7b3o3$
21b2o$20b2o$22bo!
  • The loaf on the left can be substituted with a beehive, both of which leave a boat after reaction.
  • The pi-heptomino in the middle cannot be triggered by glider+blinker combo due to the glider crashing into loaf/beehive.
  • The I-heptomino descendant on the right could hardly be inserted safely either with 3G or 1G+seed, if the pi arises from the glider+block collision spiting a domino at the back.
  • One-glider cleanup on the right has not been found. Instead, there are two slightly dirty cleanup reactions.
Bearing these considerations in mind, some working methods have been figured out.

Code: Select all

x = 79, y = 53, rule = B3/S23
24bo$22b2o$23b2o3$6b2o48b2o$6b2o12bobo33b2o$20b2o$21bo2$b2o48b2o11b2o$
o2bo21bo24bo2bo3b2o5bobo$obo9b2o10b2o25b2o5bo6b2o$bo10b2o10bobo31bobo$
59b2o$5bo58bo$5b2o56bobo$4bobo46b2o8bobo$52bo2bo3b2o3bo$53b2o4bobo7b2o
$27b2o30bo9bobo5b2o$26b2o41bo6b2o$28bo49bo13$6b2o9bo38b2o8b2o$6b2o7b2o
39b2o8bo$16b2o46bobo$64b2o$19bo$b2o15b2o31b2o14b2o$o2bo3b2o9bobo29bo2b
o3b2o7bo2bo$b2o5bo42b2o5bo7bobo$8bobo47bobo6bo7bo$9b2o48b2o13b2o$22bo
51bobo$21b2o$3b2o16bobo29b2o$2bo2bo3b2o41bo2bo3b2o$3b2o4bobo41b2o4bobo
$9bo17b2o30bo17b2o$26b2o48b2o$28bo49bo!
However, this is not the only discovery. This soup suggests a block+loaf+TL-predecessor+ghost-Herschel reaction, whereas this provides a beehive+boat+3G one, and they all have different approaching directions from the aforementioned route. An extra nice fact is that these do not cost much more than the minimum 7G recipe; 8~9G is sufficient for most cases.

To sum up, there are several known ways to edge-shoot caterers now:

Code: Select all

#C Caterer edge-shooters in glider syntheis
#C The upper left and the lower middle reactions from Mark Niemiec, the rest by GUTYU6J.
#C Constellation constructions and cleanups are omitted.
x = 103, y = 88, rule = B3/S23
37b2o$37bobo$39bo$39b2o$98bobo$98b2o$99bo2$79bo$26bo8b3o42b2o$27bo9bo
41b2o$25b3o8bo37bo10b2o$73bobo9b2o10bo$73bo2bo18b2o$29bobo12b3o27b2o
20b2o$30b2o60b2o$30bo60b2o$40b2o51bo$40b2o37b2o$29bo49b2o$29b2o64bo$
28bobo63b2o$94bobo2$50bo19bo$48bo3b4o12bo3b4o$48bo3bo15bo3bo$48bo19bo$
51bo19bo$49b2o18b2o15$50bo19bo$48bo3b4o12bo3b4o$48bo3bo15bo3bo$48bo19b
o$51bo19bo$49b2o18b2o2$97bo$96bo$96b3o2$7b2o4b2o$6bobo3bo2bo67b2o$7bo
5b2o67bo2bo$76b2o5bobo$76b2o6bo$31b2o$30bobo$31bo5bo$36bobo$36bobo$37b
o54bo7b3o$obo3b3o82bo8bo$b2o3bo84b3o7bo$bo5bo2$4b2o85b2o$5b2o29bo3b3o
47b2o$4bo29bobo3bo51bo$35b2o4bo12$27b2o$26bobo$28bo!

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Synthesising Caterer-based Oscillators (Cont'd)

Post by GUYTU6J » May 31st, 2021, 12:00 pm

Now that we have a few novel options for placing caterers with relatively cheap costs, it is high time we review or create other syntheses involving caterer(s). Cheers... for my 1400th post! (This is my first time to prepare a post over a week and write this long.)
Please check out the syntheses and help me submit them to catagolue.
  1. The canonical baker's dozen on LifeWiki is reduced to 22G with couple of intermediate steps updated, (EDIT: only 1G from) beating the eater 2 version:

    Code: Select all

    x = 112, y = 27, rule = B3/S23
    96bo$95bo$95b3o2$25bo$24bo57b2o$14bo9b3o54bo2bo$12bobo60b2o5bobo$5b2o
    6b2o2b3o45b2o8b2o6bo$4bo14bo44bo$7bo10bo48bo$3bo3bo55bo3bo$4o3bo52b4o
    3bo$5bo59bo$91bo7b3o$90bo8bo$90b3o7bo3$90b2o$89b2o$91bo3$109b3o$109bo$
    110bo!
    
  2. Similarly, the synthesized Jason's p36 variant (xp36_8oyh2hqz0123y58sky437133zy9g01y3ms8zy6332f7yg31e8zy9121) with caterers is decreased by 1G:

    Code: Select all

    x = 109, y = 37, rule = B3/S23
    5b2o58b2o$4bo59bo$7bo59bo$3bo3bo55bo3bo$4o3bo52b4o3bo$5bo59bo5$19bo73b
    o$19bobo70bo$19b2o71b3o2$14b3o$16bo62b2o$15bo62bo2bo$72b2o5bobo$72b2o
    6bo$15b2o$15bobo$15bo3$88bo7b3o$87bo8bo$87b3o7bo3$87b2o$86b2o$88bo3$
    106b3o$106bo$107bo!
    
  3. The two LCM oscillators, caterer on rattlesnake and caterer on 44P7.2, become possible given that the other parts are known.

    Code: Select all

    x = 97, y = 84, rule = B3/S23
    2bo49bo$bobo9b2o36bobo9b2o$bobo10bo36bobo10bo$2ob3o5b3o36b2ob3o5b3o17b
    o$2bo2bo5bo40bo2bo5bo18bo$2bob2o46bob2o24b3o$3bo2bo13bo32bo2bo$4b4o11b
    o34b4o$15bo3b3o45b2o$4b2o7b2o39b2o10bo2bo$4bo9b2o38bo5b2o5bobo$5bo49bo
    4b2o6bo$4b2o48b2o$13b2o$13bobo$13bo$8b2o$9b2o65bo7b3o$8bo66bo8bo$75b3o
    7bo3$75b2o$74b2o$76bo3$95bo$94b2o$94bobo21$11b2o48b2o$12bo49bo$11bo49b
    o$11b4o46b4o$9b2o4bo43b2o4bo$5b2obobob3o40b2obobob3o$5b2obo3bo42b2obo
    3bo$8bobo47bobo19bo$5b3o47b3o21bo$4bo49bo24b3o$4b2obo11bo34b2obo$ob2o
    14bo31bob2o$2obob2o7bo3b3o29b2obob2o9b2o$3bobo6b2o39bobo9bo2bo$3bobo7b
    2o38bobo3b2o5bobo$4bo49bo4b2o6bo2$12b2o$12bobo$12bo$7b2o$8b2o65bo7b3o$
    7bo66bo8bo$74b3o7bo3$74b2o$73b2o$75bo3$94bo$93b2o$93bobo!
    
    Still, there are remaining unsynthesized LCM oscs.
  4. As reported on pentadecathlon.com, some stabilizations of a p18 LoM-hassling agar using jams were found by Karel Suhajda in 2007. Here I have constructed a caterer version in 52G:

    Code: Select all

    x = 507, y = 50, rule = B3/S23
    416bo$415bo$415b3o$296bo$297b2o112bobo$296b2o114b2o$222bo189bo$220bobo
    4bo$136bobo82b2o3bo60bo7b3o63bo121bo$28bo59bo5bo42b2o29bo57b3o9bo49bo
    8bo30bo31bo67bo52bobo14bo$23b3o3bo53b3o3bo4bobo40bo25b3o3bo63b3o3bo46b
    3o7bo26b3o3bo30b3o60b3o3bo52b2o9b3o3bo$22b5obo53b5obo5b2o66b5obo63b5ob
    o83b5obo93b5obo63b5obo$24bo59bo79bo60bo8bo89bo99bo59b2o8bo$23b2o58b2o
    78b2o58bobo7b2o88b2o98b2o58bo2bo6b2o$23b2o58b2o61bo16b2o59b2o7b2o88b2o
    74bo23b2o58bo2bo6b2o8bo$137bo7bo253b2o83b2o16bo$61bo73bobo7b3o20b2o44b
    o23b2o64bo6b2o15b2o68bobo7b2o18b2o48b2o18b2o2b3o$62bo73b2o29bo2bo42bob
    o21bo2bo62bobo5b2o14bo2bo76bo19bo2bo46bo19bo2bo$60b3o5bo94b2o2bo2bo42b
    o2bo16b2o2bo2bo62bo2bo8b2o6b2o2bo2bo79bo4b2o6b2o2bo2bo49bo4b2o6b2o2bo
    2bo$66bobo94b2o3b2o44b2o17b2o3b2o64b2o9b2o6b2o3b2o76bo3bo4b2o6b2o3b2o
    46bo3bo4b2o6b2o3b2o$67b2o334b4o3bo62b4o3bo$348bo59bo69bo$8bo281b3o54bo
    $9b2o281bo54b3o$8b2o281bo139bo69bo$91b2o336bo3b4o62bo3b4o$91bobo56b2o
    3b2o63b2o3b2o17b2o64b2o3b2o6b2o9b2o74b2o3b2o6b2o4bo3bo46b2o3b2o6b2o4bo
    3bo$20bobo68bo5b3o49bo2bo2b2o62bo2bo2b2o16bo2bo62bo2bo2b2o6b2o8bo2bo
    72bo2bo2b2o6b2o4bo49bo2bo2b2o6b2o4bo$20b2o75bo51bo2bo29b2o35bo2bo21bob
    o62bo2bo14b2o5bobo72bo2bo19bo46bo2bo19bo$bo4bobo12bo76bo51b2o20b3o7bob
    o35b2o23bo64b2o15b2o6bo74b2o18b2o7bobo33b3o2b2o18b2o$2bo4b2o165bo7bo
    256b2o36bo16b2o$3o4bo14bo52b2o78b2o16bo51b2o7b2o79b2o98b2o23bo35bo8b2o
    6bo2bo$21bo53b2o78b2o68b2o7bobo78b2o98b2o68b2o6bo2bo$21b3o51bo79bo69bo
    8bo80bo99bo69bo8b2o$64b2o5bob5o73bob5o63bob5o83bob5o93bob5o63bob5o$63b
    obo4bo3b3o73bo3b3o25bo37bo3b3o50b3o30bo3b3o26bo7b3o56bo3b3o63bo3b3o9b
    2o$65bo5bo79bo29b2o38bo9b3o45bo31bo30bo8bo59bo69bo14bobo$181bobo49bo3b
    2o39bo63b3o7bo143bo$232bo4bobo$237bo189bo$342b2o82b2o$341b2o83bobo$10b
    2o331bo$10bobo409b3o$10bo413bo$423bo2$25bo$24b2o$24bobo!
    
    The final step (glider + honey bit edgeshooting Lumps of muck) is from the octohash database. Sparking a ship on its edge works; however, as far as I see, the clearance requirement is too high to be satisfied.
  5. Some non-trivial pseudo-p3 caterer pairs are of interest. The block-to-caterer conversion immediately solves two, both starting from a bi-block:

    Code: Select all

    #C 22G trans-caterer on caterer (pseudo)
    x = 180, y = 37, rule = B3/S23
    37bo$35b2o41bo$36b2o41b2o84bo$78b2o85bobo$165b2o$177bobo$12bo85bobo61b
    o14b2o$10b2o86b2o61bobo14bo$11b2o86bo61bobo$92b2o10bo57bo12b2o$80bobo
    9b2o9bobo69bobo$12bo68b2o19bo2bo70bo$12b2o67bo21b2o59bo$11bobo71bo77bo
    3b3o$85b2o77bob5o$84bobo28bo52bo$18b2o78b2o13b2o53b2o$18b2o78b2o14b2o
    52b2o2$18b2o62b2o14b2o68b2o$18b2o63b2o13b2o68b2o$82bo28bobo55bo$111b2o
    54b5obo$24bobo85bo55b3o3bo$24b2o67b2o21bo56bo$25bo66bo2bo19b2o44bo$92b
    obo9b2o9bobo42bobo$93bo10b2o55b2o12bo$25b2o71bo75bobo$26b2o70b2o59bo
    14bobo$25bo71bobo59b2o14bo$158bobo$171b2o$118b2o50bobo$2o115b2o53bo$b
    2o116bo$o!
    

    Code: Select all

    #C 26G cis-caterer on caterer (pseudo)
    x = 250, y = 47, rule = B3/S23
    197bo$197bobo$197b2o2$165bo$43bo122bo$44b2o118b3o$43b2o200bo$195bo47bo
    bo$194bo49b2o$194b3o34bobo$68bo163b2o14bo$69b2o161bo14bobo$68b2o177bob
    o$106bo10b2o47bo10b2o55b2o12bo$105bobo9b2o46bobo9b2o54bobo$68bo36bo2bo
    56bo2bo65bo$67b2o37b2o58b2o74bo$67bobo170bo3b4o$133bo106bo3bo$132bo
    107bo$b2o58b2o48b2o19b3o36b2o70bo$b2o58b2o48b2o58b2o68b2o2$b2o58b2o48b
    2o58b2o68b2o$b2o58b2o48b2o58b2o17b3o50bo$190bo49bo$191bo48bo3bo$240bo
    3b4o$106b2o58b2o11b2o61bo$62b2o41bo2bo3b2o51bo2bo3b2o5bobo11b2o39bo$
    63bo42b2o5bo52b2o5bo6b2o11bobo37bobo$63bobo47bobo57bobo17bo40b2o12bo$
    55b2o7b2o48b2o58b2o71bobo$2o54b2o65b2o54bo52bo14bobo$b2o52bo4b2o61bobo
    52bobo51b2o14bo$o7b2o50bobo45b2o13bo44b2o8bobo50bobo$8bobo49bo46bo2bo
    56bo2bo8bo64b2o$8bo45bo53b2o11bo46b2o73bobo$54b2o65b2o122bo$53bobo64bo
    bo$129bo$128b2o50bo$128bobo48b2o9bo$179bobo7b2o6b2o$189bobo5bobo$197bo!
    
    The remaining head-on variant is unfortunately out of reach in the scope above.
  6. Syntheses for the p60 and p90 pre-pulsar hasslers are also completed:

    Code: Select all

    #C 36G (=7*2+8*2+6) p60 pre-pulsar shuttle
    x = 475, y = 39, rule = B3/S23
    61bo$62b2o$61b2o3$11b2o52bobo13b2o41b2o15b2o31b2o15b2o51b2o15b2o41b2o
    15b2o41b2o15b2o61b2o15b2o$13bo51b2o16bo39bo19bo29bo19bo49bo19bo39bo19b
    o39bo19bo59bo19bo$10bo43bo4bobo4bo13bo45bo13bo35bo13bo55bo13bo45bo13bo
    45bo13bo65bo13bo$o9bo3bo40bo4b2o18bo3bo37bo3bo13bo3bo27bo3bo13bo3bo47b
    o3bo13bo3bo37bo3bo13bo3bo37bo3bo13bo3bo57bo3bo13bo3bo$b2o7bo3b4o35b3o
    4bo6bo12bo3b4o31b4o3bo13bo3b4o21b4o3bo13bo3b4o41b4o3bo13bo3b4o31b4o3bo
    13bo3b4o31b4o3bo13bo3b4o51b4o3bo13bo3b4o$2o10bo53bo15bo41bo17bo31bo17b
    o51bo17bo41bo17bo41bo17bo61bo17bo$66b3o$55b2o$55bobo$55bo17b2o58b2o48b
    2o68b2o58b2o58b2o78b2o$73bobo57bobo47bobo67bobo57bobo57bobo77bobo$74bo
    59bo49bo69bo59bo59bo79bo$70bo100bo55bo97bo73bo$69b2o98bobo56bo96bobo
    70bo$7b3o59bobo98b2o54b3o59bo36b2o71b3o$7bo175b2o68b2o34b2o13bo8b2o49b
    o8b2o69bo8b2o7bo$8bo165b3o5bo2bo66bo2bo32b2o9b4o3bo5bo2bo4b3o36b4o3bo
    5bo2bo63b4o3bo5bo2bo4bo3b4o$174bo7bobo55b2o10bobo47bo3bo5bobo7bo39bo3b
    o5bobo10b2o55bo3bo5bobo5bo3bo$175bo7bo55bo2bo10bo38b2o12bo6bo7bo44bo6b
    o10bo2bo58bo6bo6bo12b2o$137b2o100bobo5b2o43b2o9bo59bo14b2o5bobo55bo19b
    o9b2o$136b2o102bo6b2o55b2o58b2o12b2o6bo57b2o5b2o8b2o$132bo5bo35b2o145b
    2o127bobo17b2o$132b2o39bobo145bobo128bo16bobo$131bobo41bo145bo149bo3$
    222b3o7bo161bo7b3o$224bo8bo159bo8bo$122b2o99bo7b3o159b3o7bo$123b2o$
    122bo$232b2o159b2o$233b2o157b2o$232bo161bo!
    

    Code: Select all

    #C 56G (=7*2+9*4+6) p90 pre-pulsar shuttle
    x = 818, y = 98, rule = B3/S23
    195bo223bo$193bobo223bobo$194b2o223b2o4$252bo109bo$251bo111bo$251b3o
    107b3o19$143bobo163bobo$144b2o163b2o$144bo165bo$163bobo60bo3bo58bobo
    92bo3bo$149bo13b2o62b2obobo57b2o13bo76bobob2o$150bo4bo8bo61b2o2b2o58bo
    8bo4bo78b2o2b2o$148b3o3bo145bo3b3o$154b3o141b3o2$152bo149bo$150b2o151b
    2o15b2o78b2o71b2o15b2o61b2o15b2o61b2o15b2o61b2o15b2o61b2o15b2o$84bo66b
    2o149b2o18bo79bo69bo19bo59bo19bo59bo19bo59bo19bo59bo19bo$83bo144bo5b2o
    83bo59b2o5bo12bo75bo13bo65bo13bo65bo13bo65bo13bo65bo13bo$83b3o141bobo
    3bo2bo82bo3bo54bo2bo3bobo11bo3bo67bo3bo13bo3bo57bo3bo13bo3bo57bo3bo13b
    o3bo57bo3bo13bo3bo57bo3bo13bo3bo$228b2o4b2o83bo3b4o52b2o4b2o12bo3b4o
    61b4o3bo13bo3b4o51b4o3bo13bo3b4o51b4o3bo13bo3b4o51b4o3bo13bo3b4o51b4o
    3bo13bo3b4o$obo15bo302bo79bo71bo17bo61bo17bo61bo17bo61bo17bo61bo17bo$b
    2o14bo61bo$bo15b3o60b2o$9bo26b2o29b2o10b2o15b2o29b2o27b2o49b2o27b2o59b
    2o27b2o49b2o27b2o59b2o27b2o49b2o27b2o49b2o27b2o49b2o27b2o49b2o27b2o$9b
    obo21b2o2bo29bo2b2o21b2o2bo29bo2b2o21b2o2bo49bo2b2o21b2o2bo59bo2b2o21b
    2o2bo49bo2b2o21b2o2bo59bo2b2o21b2o2bo49bo2b2o21b2o2bo49bo2b2o21b2o2bo
    49bo2b2o21b2o2bo49bo2b2o21b2o2bo$9b2o21b2ob2o31b2ob2o19b2ob2o31b2ob2o
    19b2ob2o51b2ob2o19b2ob2o61b2ob2o19b2ob2o51b2ob2o19b2ob2o61b2ob2o19b2ob
    2o51b2ob2o19b2ob2o51b2ob2o19b2ob2o51b2ob2o19b2ob2o51b2ob2o19b2ob2o$32b
    2o37b2o3b2o14b2o37b2o19b2o57b2o19b2o67b2o19b2o57b2o19b2o67b2o19b2o57b
    2o19b2o57b2o19b2o57b2o19b2o57b2o19b2o$32b2o37b2o3b2o14b2o37b2o9b2o8b2o
    57b2o9b2o8b2o67b2o9b2o8b2o57b2o9b2o8b2o67b2o9b2o8b2o57b2o9b2o8b2o57b2o
    9b2o8b2o57b2o9b2o8b2o57b2o9b2o8b2o$9b2o21b2ob2o31b2ob2o19b2ob2o31b2ob
    2o9bobo7b2ob2o51b2ob2o9bobo7b2ob2o61b2ob2o9bobo7b2ob2o51b2ob2o9bobo7b
    2ob2o61b2ob2o9bobo7b2ob2o51b2ob2o9bobo7b2ob2o51b2ob2o9bobo7b2ob2o51b2o
    b2o9bobo7b2ob2o51b2ob2o9bobo7b2ob2o$9bobo21b2o2bo29bo2b2o21b2o2bo29bo
    2b2o11bo9b2o2bo49bo2b2o11bo9b2o2bo59bo2b2o11bo9b2o2bo49bo2b2o11bo9b2o
    2bo59bo2b2o11bo9b2o2bo49bo2b2o11bo9b2o2bo49bo2b2o11bo9b2o2bo49bo2b2o
    11bo9b2o2bo49bo2b2o11bo9b2o2bo$9bo26b2o29b2o27b2o29b2o27b2o49b2o27b2o
    59b2o27b2o49b2o27b2o59b2o27b2o49b2o27b2o49b2o27b2o49b2o27b2o49b2o27b2o
    $bo15b3o$b2o14bo68b3o$obo15bo67bo546bo79bo7b3o69bo7b3o7bo$87bo461b2o4b
    2o71b4o3bo72b4o3bo12b2o4b2o52b4o3bo13bo3b4o$548bo2bo3bobo73bo3bo75bo3b
    o11bobo3bo2bo54bo3bo13bo3bo$549b2o5bo78bo79bo12bo5b2o59bo13bo$472b2o
    158bo13b2o64bo79bo19bo$473b2o158b2o10b2o66b2o78b2o15b2o$472bo168bo5bo$
    641b2o$468b3o169bobo153bo$470bo3b3o319b2o$460bo8bo4bo78b2o2b2o167b2o2b
    2o63bobo9b2o$460b2o13bo76bobob2o169b2obobo73bo2bo$459bobo92bo3bo99b3o
    65bo3bo76b2o$480bo177bo133b3o8b2o$479b2o178bo134bo7bobo$479bobo181bo
    129bo10bo$641bo20b2o$641b2o19bobo$640bobo28b2o$671bobo$671bo$636b2o$
    635bobo$637bo11$531b3o217b3o$533bo217bo$532bo219bo4$589b2o$589bobo$
    589bo!
    
    Previously I asked for a better pre-pulsar insertion, which is now solved by octohash as well. By the way, it does not work with the tighter p58 pre-pulsar shuttle.
  7. The canonical crown on LifeWiki has got a solution where the caterers are put with 24G:

    Code: Select all

    x = 537, y = 43, rule = B3/S23
    4b2o10b2o46b2o10b2o36b2o10b2o56b2o10b2o46b2o10b2o66b2o10b2o46b2o10b2o
    46b2o10b2o58b2o10b2o$3bo2bo8bo2bo44bo2bo8bo2bo34bo2bo8bo2bo18bo35bo2bo
    8bo2bo44bo2bo8bo2bo64bo2bo8bo2bo44bo2bo8bo2bo44bo2bo8bo2bo56bo2bo8bo2b
    o$3b3o2b6o2b3o5bo38b3o2b6o2b3o34b3o2b6o2b3o16b2o36b3o2b6o2b3o44b3o2b6o
    2b3o48bo15b3o2b6o2b3o44b3o2b6o2b3o44b3o2b6o2b3o56b3o2b6o2b3o$6b2o6b2o
    7bo42b2o6b2o40b2o6b2o20b2o38b2o6b2o50b2o6b2o52b2o16b2o6b2o50b2o6b2o50b
    2o6b2o62b2o6b2o$5bo10bo6b3o39bo10bo38bo10bo58bo10bo48bo10bo50b2o16bo
    10bo48bo10bo48bo10bo60bo10bo$5b2obo4bob2o48b2obo4bob2o38b2obo4bob2o58b
    2obo4bob2o48b2obo4bob2o68b2obo4bob2o48b2obo4bob2o48b2obo4bob2o60b2obo
    4bob2o$10b2o58b2o48b2o68b2o58b2o78b2o58b2o58b2o70b2o$78b2o48b2o13bobo
    52b2o58b2o78b2o58b2o58b2o70b2o$65b2o11b2o35b2o11b2o13b2o40b2o11b2o45b
    2o11b2o49bobo13b2o11b2o45b2o11b2o45b2o11b2o57b2o11b2o$20b3o42b2o48b2o
    27bo40b2o12bo45b2o12bo50b2o13b2o12bo45b2o12bo45b2o12bo57b2o5bo6bo$7b2o
    11bo176b5obo53b5obo46bo26b5obo41bo11b5obo41bo11b5obo53bo5bobo3b5obo$7b
    obo11bo62bobo111b3o3bo53b3o3bo73b3o3bo36bob5o10b3o3bo36bob5o10b3o3bo
    48bob5o3bobo4b3o3bo$7bo76b2o37b2o78bo34bobo22bo79bo36bo3b3o16bo36bo3b
    3o16bo48bo3b3o5bo10bo$b2o82bo36bo2bo65bo47b2o89b2o49bo59bo71bo$obo119b
    obo9b2o12bo41bobo46bo89bo2bo60bo$2bo120bo10b2o11b2o42b2o12bo100bo12b2o
    9bobo59bobo$85b2o60bobo54bobo99b2o11b2o10bo47bo12b2o$86b2o101bo14bobo
    31b2o65bobo70bobo$85bo40bo62b2o14bo31b2o139bobo14bo$126b2o60bobo48bo
    88bo50bo14b2o$125bobo73b2o124b2o65bobo$200bobo124bobo52b2o$60b2o140bo
    179bobo$61b2o87b2o111b2o117bo$60bo88b2o111b2o39b2o$151bo112bo39b2o142b
    o$303bo144b2o$447bobo2$451b3o$451bo$452bo2$527bo$525b2o$521bo4b2o$519b
    obo$520b2o$526b2o$526bobo$435bo90bo$435b2o$434bobo!
    
    Last year I noted a route for a crown isomer, from which I could shave off one glider on one side:

    Code: Select all

    x = 109, y = 41, rule = B3/S23
    6$b2o10b2o46b2o10b2o$o2bo8bo2bo44bo2bo8bo2bo$3o10b3o44b3o10b3o$3b10o
    50b10o$2bo2b6o2bo5bo42bo2b6o2bo19bo$2b2o2b4o2b2o5bobo40b2o2b4o2b2o18bo
    $19b2o71b3o2$14b3o$16bo62b2o$15bo62bo2bo$72b2o5bobo$72b2o6bo$15b2o$15b
    obo$15bo3$88bo7b3o$87bo8bo$87b3o7bo3$87b2o$86b2o$88bo5$106b3o$106bo$
    107bo!
    
    These new observations give hope to synthesize several large oscillators employing crowns, including 144P24, 145P12 (both shown below), Hans Leo hasslers at various periods, and the pi orbital. Actual constructions are up to the community because there are still the problems of activating individual heavyweight emulators and crowns.

    Code: Select all

    #C This is the only non-synthesis RLE in this post
    x = 63, y = 35, rule = B3/S23
    4b2o10b2o19b2o4b2o4b2o$3bo2bo2b4o2bo2bo17bo2bobo4bobo2bo$3b3o2b6o2b3o
    17b3o10b3o$6b10o23b2o6b2o$5bo10bo21bo2b6o2bo$5b2o8b2o21b2o8b2o2$11bo7b
    o15b2o$5bo6bo5b2o14bo13b2o$5b2o3bo3bo22bo4bo7bo$16b3o2bobo9bo3bo3b3o3b
    o$bobo2b3obo3bo3bob4o6b4o3bo9bo3bo$b4obo4b3o8b2o11bo11bo3b4o$b2o46bo$
    42bo2$11b3o30b4o$44bo3bo$49bo$46bobo2$5bo37bo$4o3bo11bo18b4o3bo4bo6bo$
    3bo3bo9bo3b4o16bo3bo3b3o3bo3b4o$7bo3b3o3bo3bo23bo2b5o2bo3bo$4bo7bo4bo
    24bo5b5o2bo$5b2o13bo22b2o5bo7bo$18b2o36b2o$48b2o$5b2o8b2o26b2obo4bob2o
    $5bo2b6o2bo26bo10bo$6b2o6b2o28b2o6b2o$3b3o10b3o22b3o2b6o2b3o$3bo2bobo
    4bobo2bo22bo2bo8bo2bo$4b2o4b2o4b2o24b2o10b2o!
    
    Oh, finally, there is 124P21, but two copies of 44P7.2 cannot be placed that close easily, I suppose.
Last edited by GUYTU6J on May 31st, 2021, 10:50 pm, edited 1 time in total.

MathAndCode
Posts: 5140
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Caterer-based Oscillators (Cont'd)

Post by MathAndCode » May 31st, 2021, 1:16 pm

GUYTU6J wrote:
May 31st, 2021, 12:00 pm
Now that we have a few novel options for placing caterers with relatively cheap costs, it is high time we review or create other syntheses involving caterer(s).
It looks like https://www.conwaylife.com/patterns/caterer_synth.rle ought to be updated with the caterer syntheses with better clearance. Here's the new RLE that I'm going to put in:

Code: Select all

x = 311, y = 212, rule = B3/S23
176bo$174b2o$175b2o3$170bobo$171b2o$171bo4bobo4bo$176b2o4bo$170bo6bo4b
3o$171bo$169b3o$181b2o$180bobo$182bo3$167bo$167b2o$166bobo38$210bo$
209bo$209b3o2$72bo66bo$71bo66bo57b2o72bo$67bo3b3o54bo9b3o54bo2bo69bo3b
4o$65b2o59bobo60b2o5bobo69bo3bo$66b2o59b2o2b3o55b2o6bo70bo12b2o$133bo
137bo9b2o$132bo136b2o$65b2o$65bobo$65bo220b3o$60b2o143bo7b3o70bo$61b2o
141bo8bo73bo$60bo143b3o7bo3$204b2o$203b2o$205bo53$185bo$183b2o$184b2o
2$101bobo64b2o$101b2o65b2o$102bo78bobo$181b2o$182bo$102b2o59b2o21bo$
103b2o57bo2bo19b2o$102bo59bobo9b2o9bobo$163bo10b2o$168bo$168b2o$77b2o
88bobo$78b2o$77bo$188b2o$187b2o$189bo12$248bo$247b2o49bo$297b2o$245b3o
2bobo$247bob4o42b3o2bobo$251b2o44bob4o$240bo60b2o$239bobo$240b2o12bo$
253bobo48bo$253bobo47bobo$235b2o17bo48bobo$234bobo67bo$236bo2$308b2o$
308bobo$308bo9$b2o58b2o48b2o58b2o$b2o58b2o48b2o58b2o4$106b2o58b2o11b2o
$62b2o41bo2bo3b2o51bo2bo3b2o5bobo$63bo42b2o5bo52b2o5bo6b2o$63bobo47bob
o57bobo$55b2o7b2o48b2o58b2o$2o54b2o65b2o54bo$b2o52bo4b2o61bobo52bobo$o
7b2o50bobo45b2o13bo44b2o8bobo$8bobo49bo46bo2bo56bo2bo8bo$8bo45bo53b2o
11bo46b2o$54b2o65b2o$53bobo64bobo$129bo$128b2o50bo$128bobo48b2o9bo$
179bobo7b2o6b2o$189bobo5bobo$197bo!
Feel free to add any useful syntheses that I missed.
I am tentatively considering myself back.

mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Caterer-based Oscillators

Post by mniemiec » May 31st, 2021, 2:59 pm

GUYTU6J wrote:
May 31st, 2021, 11:58 am
For celebrating my recent 2019-nCov vaccination, I would like to present some new, versatile edge-shooting caterer syntheses that were extracted manually from the 100 soups in b3s23/G1 census. ...
These are very impressive! I haven't looked at whether these will reduce any of the existing syntheses that require adding a caterer as a hassler to other oscillators (I guess there's no need, as you have already started doing so!), but I did try to use these to re-visit the 12 pseudo-objects involving caterer and/or jam sparks inducting each other.

For the sake of convenience, I'll call the domino-producing edges of the caterer L (from the L-shaped pentomino, shot from the bottom left reaction) and J (from the 3-bit J, like that on Jam, shot from the top right reaction).

Each of the 3 components used has a weakness: The J-shooter requires an existing block, which means it can't be used with any caterer/jam surfaces except another one that also starts with a similar stable surface (currently, only another copy of itself). The J produces a domino offset one space from the correct position, so it can only be used with another copy of itself in the cis orientation (the previous J edge-shooter does the same; I think that one was originally found by Dean Hickerson). The mold edge-shooter produces its inducting domino surface which first cycles with a period of 4 before settling on 3, so it can also only be used with another copy of itself.

This leaves the following 12 combinations, of which the first 3 now have solutions:

Cis L on L: this would require two pairs of crossing glider streams. However, it can be done from 28 gliders by using one of your alternate shooters on one side (reduced by 1 glider; one of the beehives can be replaced by a glider) (see below).

Trans L on L: now possible from 25 gliders (see below).

Cis J on J: (the only one previously synthesized) reduced from 22 to 18 gliders (see below).

Trans J on J: Fails because J's offset dominoes clash.

Cis+Trans L on J: Fail because J's offset domino clashes with existing block

Cis+Trans L on Jam: Fail because jam cannot be added to existing block

Cis+Trans J on Jam: Fail because if Jam is created earlier, J's offset domino interacts with it, and if J is created earlier, Jam's period-4 cycle conflicts with it.

(For reference, the Cis+Trans Jam on Jam already worked; see below)

Code: Select all

x = 232, y = 236, rule = B3/S23
203boo18boo$5bo19bo19boo10boo26bo19bo19bo19bo16bo19bo19bobbo16bobbo$4o
3bo12b4o3bo16bo14bo20b4o3bo12b4o3bo12b4o3bo12b4o3bo13boo18boo19bobobbo
14bobobbo$3bo3bo15bo3bo19bo8bo26bo3bo15bo3bo15bo3bo15bo3bo55bo3bo15bo
3bo$7bo19bo15bo3bo8bo3bo26bo19bo19bo19bo11b3obbobo12b3obbobo20bo19bo$
4bo19bo15b4o3bo8bo3b4o20bo19bo19bo19bo16bob4o14bob4o17bo19bo$5boo18boo
18bo12bo26boo18boo18boo18boo18boo18boo18boo18boo$$5boo18boo18bo19bo19b
oo18boo18boo18boo18boo18boo18boo18boo$4bo22bo12b4o3bo12b4o3bo13bob4o
18b4obo13bo22bo16bo22bo16bo22bo$7bo16bo18bo3bo15bo3bo11b3obbobo18bobo
bb3o14bo16bo22bo16bo22bo16bo$3bo3bo16bo3bo18bo19bo55bo3bo16bo3bo14bo3b
o16bo3bo14bo3bo16bo3bo$4o3bo16bo3b4o12bo19bo16boo26boo11bobobbo16bobbo
bo12bobobbo16bobbobo12bobobbo16bobbobo$5bo20bo18boo18boo15bo26bo12bobb
o20bobbo12bobbo20bobbo12bobbo20bobbo$123boo22boo14boo22boo14boo22boo
17$125bobo$126boo49bo$22bo103bo48bobo$21bo154boo$21b3o122bo32bo16bo$
19bo124boo32bobo14bo$20bo124boo31bobo14b3o$18b3o13bo24boo10bo27boo10bo
27boo10bo27bo12boo$33bo25boo9bobo26boo9bobo15bo10boo9bobo39bobo$30boob
3o33bobbo36bobbo16boo18bobbo40bo$29bobo38boo38boo16boo20boo33bo39bo$
31bo100boo46b4o3bo32b4o3bo$133boo48bo3bo35bo3bo$25bo106bo54bo39bo$23bo
bo39boo38boo38boo37bo39bo$24boo39boo38boo38boo38boo38boo$130bo$24boo
39boo29bo8boo23boo13boo38boo38boo$23bobo39boo27bobo8boo22bobo13boo37bo
39bo$25bo64b3obboo90bo39bo$92bo90bo3bo35bo3bo$91bo4bo83b4o3bo32b4o3bo$
96boo12boo25boo11boo33bo39bo$64boo5boo22bobo6boo3bobbo23bobo5boo3bobbo
40bo$64bo6bobo30bo5boo24boo6bo5boo40bobo$24boo28bo7bobo6bo30bobo37bobo
34bo12boo$23boo30bo6boo4boo32boo38boo34bobo14b3o$20boo3bo27b3o11bobo
28bo39bo39bobo14bo$19bobo47bo27bobo37bobo39bo16bo$21bo34b3o38bobo37bob
o3b3o30boo$58bo39bo27bo6b3obbo6bob3o25bobo$57bo68boo7bo8bobbo29bo$125b
obo6bo13bo18$125bobo$126boo49bo$102bo23bo48bobo$101bo74boo$101b3o42bo
32bo16bo$99bo44boo32bobo14bo$100bo44boo31bobo14b3o$98b3o13bo24boo10bo
27bo12boo$113bo14bo10boo9bobo39bobo$110boob3o13boo18bobbo40bo$109bobo
16boo20boo33bo39bo$111bo20boo46b4o3bo32b4o3bo$133boo48bo3bo35bo3bo$
105bo26bo54bo39bo$103bobo39boo13bobo21bo39bo$104boo39boo13boo23boo38b
oo$130bo30bo$104boo24boo13boo38boo38boo$103bobo23bobo13boo40bo39bo$
105bo53bo24bo39bo$157boo25bo3bo35bo3bo$115bo42boo24bo3b4o32bo3b4o$115b
obo22boo20boo22bo39bo$115boo22bobbo18boo15bo$112boo25bobo9boo10bo13bob
o$112bobo25bo10boo25boo12bo$112bo32boo27b3o14bobo$100b3o43boo28bo14bob
o$96boobbo44bo29bo16bo$95boo4bo92boo$97bo67bo28bobo$93boo69boo28bo$92b
obo69bobo$94bo14$154bo$152boo$153boo$$145bo$146bo$144b3o45bo$191bo$
191b3o$188boo$157bo29bobbo$156boo30boo$156bobo$$103bo$103bobo$103boo
80boo38boo$28bobo70bo82bo39bo$28boo38bo30bobo6bo32boo5bo38bo39bo$29bo
37bobo30boo5bobo30bobbo3bobo33bo3bo35bo3bo$67boo38boo32boo4boo31b4o3bo
32b4o3bo$27b3o155bo39bo$29bo$28bo156bo39bo$107boo32boo4boo31b4o3bo32b
4o3bo$100boo5bobo30bobbo3bobo33bo3bo35bo3bo$99bobo6bo32boo5bo38bo39bo$
101bo82bo39bo$103boo80boo38boo$78bo24bobo$77bo25bo$77b3o75boo$73b3o79b
obo$66b3o4bo81bo32boo$68bo5bo112bobbo$67bo86bo33boo$154boo35b3o$153bob
o35bo$144b3o45bo$146bo$145bo$$153boo$152boo$154bo7$94bobo77bobo$94boo
78boo$95bo79bo$$87bo79bo$88bo79bo$86b3o77b3o$$202bobo$202boo$121bobo
79bo$121boo$91bobobbobo23bo48bobobbobo$92boobboo74boobboo$92bo4bo74bo
4bo4$118bobo50bobo$118boo52boo$119bo52bo$143boo78boo$142bobbo76bobbo$
142bobobbo74bobobbo$143bo3bo75bo3bo$147bo79bo$144bo79bo$145boo78boo$$
145boo78boo$144bo82bo$147bo76bo$143bo3bo76bo3bo$142bobobbo76bobbobo$
142bobbo80bobbo$143boo82boo$199bo$90b3o105boo$92bo105bobo$91bo3$92bo4b
o96bo4bo$92boobboo96boobboo$91bobobbobo94bobobbobo$$123bo44bo$122boo
44boo$122bobo42bobo$$86b3o114b3o$88bo114bo$87bo116bo$$95bo100bo$94boo
100boo$94bobo98bobo!
EDIT: I see that you already made two of the pseudo-objects at the same time I did. Nice work on reducing the still-life constellation costs. The two-beehive one has the same saving as replacing one beehive by a glider.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Synthesising Oscillators

Post by GUYTU6J » June 1st, 2021, 10:38 am

Synthesis of the traffic circle requires a new mold-inserting recipe. This soup suggests a neat one:

Code: Select all

x = 34, y = 35, rule = B3/S23
obo$b2o$bo10$22bo$20bobo$21b2o4$25bobo$19bo5b2o$17bobo6bo$18b2o2$32bo$
31bobo$31bobo$32bo6$28b2o$27bo2bo$28b2o!
However, I didn't know that when applied to traffic circle synthesis it would be the most annoying beehive insertion I have ever come across. I have tried using the 3G synthesise-constellation.py v2.0 for two hours only to admit defeat.

Code: Select all

x = 876, y = 96, rule = B3/S23
722bobo$723b2o$723bo2$611bo$611bobo$611b2o$808bobo$809b2o$809bo2$740bo
$739bo$739b3o2$735bobo$736b2o$736bo$509bo$507b2o145bo175bo$508b2o142bo
bo173bobo$593bo59b2o174b2o$591b2o$592b2o$39b2o4b2o72b2o4b2o82b2o4b2o
82b2o4b2o72b2o4b2o72b2o4b2o102b2o4b2o23bo68b2o4b2o72b2o4b2o92b2o4b2o$
39bobo2bobo72bobo2bobo82bobo2bobo82bobo2bobo72bobo2bobo72bobo2bobo102b
obo2bobo21b2o69bobo2bobo72bobo2bobo76bobo13bobo2bobo$41bo2bo76bo2bo86b
o2bo86bo2bo76bo2bo76bo2bo106bo2bo24b2o70bo2bo76bo2bo72bo5b2o16bo2bo$
40b2o2b2o74b2o2b2o84b2o2b2o84b2o2b2o74b2o2b2o74b2o2b2o104b2o2b2o94b2o
2b2o74b2o2b2o69bobo6bo15b2o2b2o$39b3o2b3o72b3o2b3o82b3o2b3o82b3o2b3o
72b3o2b3o23bo48b3o2b3o102b3o2b3o92b3o2b3o72b3o2b3o69b2o21b3o2b3o$41bo
2bo76bo2bo86bo2bo86bo2bo76bo2bo23b2o51bo2bo106bo2bo18b2o76bo2bo76bo2bo
96bo2bo$409b2o182bobo83b2o78b2o79bo18b2o$49bo79bo89bo89bo79bo79bo24bo
84bo13bo85b3o77b3o77bobo17b3o$48bobo77bobo87bobo87bobo63bo13bobo77bobo
21b2o84bobo98b2obo76b2obo76bobo17b2obo$48bobo77bobo87bobo87bobo64b2o
11bobo77bobo22b2o83bobo100bobo77bobo76bo20bobo$49bo79bo89bo89bo64b2o
13bo79bo109bo100bo2bo69b3o4bo2bo89b3o4bo2bo$496b2o89b2o92b2o78b2o98b2o
$496bobo87bo2bo161bo5bo93bo5bo$496bo90b2o162bo5bo93bo5bo$751bo5bo93bo
5bo$26b2o78b2o88b2o88b2o78b2o78b2o108b2o98b2o78b2o98b2o$25bo2bo76bo2bo
26bo59bo2bo86bo2bo76bo2bo76bo2bo106bo2bo96bo2bo76bo2bo14b3o79bo2bo14b
3o$26b2o78b2o27bobo58b2o88b2o78b2o78b2o108b2o98b2o78b2o98b2o$135b2o$
18b2o2bo6b3o66b2o2bo6b3o76b2o2bo6b3o76b2o2bo6b3o66b2o2bo6b3o66b2o2bo6b
3o96b2o2bo6b3o86b2o2bo6b3o66b2o2bo6b3o86b2o2bo6b3o$18bo2b2o75bo2b2o85b
o2b2o85bo2b2o75bo2b2o75bo2b2o105bo2b2o95bo2b2o75bo2b2o95bo2b2o$19b5o
37bo2b2o33b5o37bo2b2o43b5o37bo2b2o43b5o37bo2b2o33b5o37bo2b2o33b5o37bo
2b2o63b5o37bo2b2o53b5o37bo2b2o33b5o37bo2b2o53b5o37bo2b2o$61b2o2bo75b2o
2bo85b2o2bo85b2o2bo75b2o2bo66bo8b2o2bo96bo8b2o2bo86bo8b2o2bo66bo8b2o2b
o86bo8b2o2bo$60b5o75b5o85b5o85b5o75b5o67bo7b5o97bo7b5o87bo7b5o67bo7b5o
87bo7b5o$19b5o75b5o85b5o85b5o75b5o75b5o28bo76b5o28bo66b5o28bo46b5o28bo
66b5o28bo$18bo2b2o75bo2b2o85bo2b2o85bo2b2o75bo2b2o75bo2b2o105bo2b2o95b
o2b2o75bo2b2o95bo2b2o$18b2o2bo37b5o33b2o2bo37b5o43b2o2bo37b5o43b2o2bo
37b5o33b2o2bo37b5o33b2o2bo25b3o3b3o3b5o63b2o2bo25b3o3b3o3b5o53b2o2bo
25b3o3b3o3b5o33b2o2bo25b3o3b3o3b5o53b2o2bo25b3o3b3o3b5o$61b2o2bo75b2o
2bo85b2o2bo85b2o2bo75b2o2bo75b2o2bo105b2o2bo95b2o2bo75b2o2bo95b2o2bo$
61bo2b2o75bo2b2o85bo2b2o85bo2b2o75bo2b2o66bo8bo2b2o96bo8bo2b2o86bo8bo
2b2o66bo8bo2b2o86bo8bo2b2o$472bo109bo74b2o23bo79bo99bo$56b2o78b2o88b2o
88b2o78bobo73bo3bobo103bo3bobo67bobo23bo3bobo73bo3bobo93bo3bobo$55bo2b
o76bo2bo69b3o14bo2bo69b3o14bo2bo59b3o18bo58b3o18bo88b3o18bo68bo9b3o18b
o58b3o18bo78b3o18bo$56b2o78b2o88b2o88b2o77bo2bo76bo2bo106bo2bo96bo2bo
76bo2bo96bo2bo$206bo5bo83bo5bo73bo5bo11bobobo57bo5bo11bobobo87bo5bo11b
obobo77bo5bo11bobobo57bo5bo11bobobo77bo5bo11bobobo$25b2o179bo5bo83bo5b
o73bo5bo11bo2bo58bo5bo11bo2bo88bo5bo11bo2bo78bo5bo11bo2bo58bo5bo11bo2b
o78bo5bo11bo2bo$24bo2bo178bo5bo83bo5bo73bo5bo12b2o59bo5bo12b2o89bo5bo
12b2o79bo5bo12b2o59bo5bo12b2o79bo5bo12b2o$25b2o84b2o88b2o88b2o78b2o78b
2o108b2o98b2o78b2o98b2o$34bo75bo2bo86bo2bo4b3o79bo2bo4b3o69bo2bo4b3o
69bo2bo4b3o99bo2bo4b3o89bo2bo4b3o69bo2bo4b3o75bo6bo6bo2bo4b3o$33bobo
74bobobo85bobobo85bobobo18bo56bobobo75bobobo105bobobo95bobobo75bobobo
81b2o5b2o5bobobo$19bo13bobo75bob3o85bob3o85bob3o16bobo56bob3o75bob3o
105bob3o95bob3o75bob3o79bobo4bobo6bob3o$20bo13bo78b3o87b3o87b3o16bobo
58b3o77b3o107b3o97b3o77b3o97b3o$18b3o292bo553bo$39bo2bo76bo2bo86bo2bo
86bo2bo76bo2bo76bo2bo106bo2bo96bo2bo76bo2bo96bo2bo13b2o$37b3o2b3o72b3o
2b3o82b3o2b3o82b3o2b3o72b3o2b3o72b3o2b3o102b3o2b3o92b3o2b3o72b3o2b3o
92b3o2b3o11bobo$38b2o2b2o74b2o2b2o84b2o2b2o84b2o2b2o22b3o49b2o2b2o74b
2o2b2o104b2o2b2o94b2o2b2o74b2o2b2o94b2o2b2o$13bo25bo2bo76bo2bo86bo2bo
86bo2bo15b2o6bo52bo2bo76bo2bo106bo2bo96bo2bo76bo2bo96bo2bo$13b2o22bobo
2bobo72bobo2bobo82bobo2bobo82bobo2bobo14b2o6bo49bobo2bobo72bobo2bobo
102bobo2bobo92bobo2bobo72bobo2bobo92bobo2bobo$12bobo22b2o4b2o72b2o4b2o
82b2o4b2o82b2o4b2o13bo58b2o4b2o72b2o4b2o102b2o4b2o92b2o4b2o72b2o4b2o
92b2o4b2o$20bo$20b2o$19bobo117b2o$139bobo181b3o$139bo183bo$324bo$227bo
$226b2o$226bobo2$222b3o$224bo$223bo3$344b2o$343b2o$345bo$3o$2bo$bo$
240bo$239b2o$239bobo!
So I have to leave it here waiting for someone else to complete it.
Meanwhile, there is a 6G recipe from here

Code: Select all

x = 39, y = 22, rule = B3/S23
20bo$19bo$19b3o7$12bo$12bobo$12b2o$b2o$o2bo6bo25b2o$b2o5b2o25bo2bo$9b
2o22bo2bobo$37bo$33bob2o$34bo$9b3o$11bo$10bo!
This uses an unknown cluster:

Code: Select all

x = 18, y = 8, rule = B3/S23
$2o11b3o$bob2o$4b2o5bo5bo$4b2o5bo5bo$4b2o5bo5bo2$13b3o!

User avatar
iNoMed
Moderator
Posts: 606
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » June 1st, 2021, 11:19 am

All that was needed to solve the clumsy beehives was a suitable 180-degree 3G collision, no edgeshooters were needed. As such, here's a more-complete synthesis that begins from the four fumaroles (instead of 4 fumaroles, 5 beehives and a blinker):

Code: Select all

x = 1451, y = 96, rule = B3/S23
1299bobo$1300b2o$1300bo2$1188bo$157bo1030bobo$156bo1031b2o$156b3o1224b
obo$1384b2o$153bo1230bo$2bo149bo$obo149b3o1162bo$b2o1313bo$1316b3o$6bo
$4bobo1305bobo$5b2o1306b2o$1313bo$1094bo$1092b2o133bo177bo$1093b2o130b
obo175bobo$1170bo55b2o176b2o$1168b2o$1169b2o$40b2o4b2o70b2o4b2o84b2o4b
2o103b2o4b2o83b2o4b2o107b2o4b2o88b2o4b2o70b2o4b2o70b2o4b2o76b2o4b2o90b
2o4b2o75b2o4b2o94b2o4b2o23bo64b2o4b2o76b2o4b2o90b2o4b2o$40bobo2bobo70b
obo2bobo84bobo2bobo103bobo2bobo83bobo2bobo107bobo2bobo88bobo2bobo70bob
o2bobo70bobo2bobo76bobo2bobo90bobo2bobo75bobo2bobo94bobo2bobo21b2o65bo
bo2bobo76bobo2bobo74bobo13bobo2bobo$42bo2bo74bo2bo88bo2bo107bo2bo87bo
2bo111bo2bo92bo2bo74bo2bo74bo2bo80bo2bo94bo2bo79bo2bo98bo2bo24b2o66bo
2bo80bo2bo70bo5b2o16bo2bo$41b2o2b2o72b2o2b2o86b2o2b2o105b2o2b2o85b2o2b
2o109b2o2b2o90b2o2b2o72b2o2b2o72b2o2b2o78b2o2b2o92b2o2b2o77b2o2b2o96b
2o2b2o90b2o2b2o78b2o2b2o67bobo6bo15b2o2b2o$40b3o2b3o70b3o2b3o84b3o2b3o
103b3o2b3o83b3o2b3o107b3o2b3o88b3o2b3o70b3o2b3o70b3o2b3o76b3o2b3o90b3o
2b3o23bo51b3o2b3o94b3o2b3o88b3o2b3o76b3o2b3o67b2o21b3o2b3o$42bo2bo74bo
2bo88bo2bo107bo2bo87bo2bo111bo2bo92bo2bo74bo2bo74bo2bo80bo2bo94bo2bo
23b2o54bo2bo98bo2bo18b2o72bo2bo80bo2bo94bo2bo$991b2o177bobo79b2o82b2o
77bo18b2o$220bo110bo90bo114bo95bo77bo77bo83bo97bo82bo24bo76bo13bo81b3o
81b3o75bobo17b3o$199bo19bobo108bobo88bobo112bobo93bobo75bobo75bobo81bo
bo81bo13bobo80bobo21b2o76bobo94b2obo80b2obo74bobo17b2obo$200bo18bobo
108bobo4bo83bobo112bobo93bobo75bobo75bobo81bobo82b2o11bobo80bobo22b2o
75bobo96bobo81bobo74bo20bobo$198b3o19bo110bo5bobo82bo114bo95bo77bo77bo
83bo82b2o13bo82bo101bo96bo2bo73b3o4bo2bo87b3o4bo2bo$337b2o742b2o81b2o
88b2o82b2o96b2o$1081bobo79bo2bo161bo5bo91bo5bo$1081bo82b2o162bo5bo91bo
5bo$1328bo5bo91bo5bo$105b2o90b2o109b2o89b2o113b2o94b2o76b2o76b2o82b2o
96b2o81b2o100b2o94b2o82b2o96b2o$104bo2bo88bo2bo107bo2bo87bo2bo111bo2bo
92bo2bo74bo2bo26bo47bo2bo80bo2bo94bo2bo79bo2bo98bo2bo92bo2bo80bo2bo14b
3o77bo2bo14b3o$105b2o90b2o109b2o89b2o113b2o94b2o76b2o27bobo46b2o82b2o
96b2o81b2o100b2o94b2o82b2o96b2o$717b2o$19b2o2bo73b2o2bo87b2o2bo106b2o
2bo86b2o2bo110b2o2bo6b3o82b2o2bo6b3o64b2o2bo6b3o64b2o2bo6b3o70b2o2bo6b
3o84b2o2bo6b3o69b2o2bo6b3o88b2o2bo6b3o82b2o2bo6b3o70b2o2bo6b3o84b2o2bo
6b3o$19bo2b2o73bo2b2o87bo2b2o106bo2b2o86bo2b2o110bo2b2o91bo2b2o73bo2b
2o73bo2b2o79bo2b2o93bo2b2o78bo2b2o97bo2b2o91bo2b2o79bo2b2o93bo2b2o$20b
5o37bo2b2o31b5o37bo2b2o45b5o37bo2b2o64b5o37bo2b2o44b5o37bo2b2o68b5o37b
o2b2o49b5o37bo2b2o31b5o37bo2b2o31b5o37bo2b2o37b5o37bo2b2o51b5o37bo2b2o
36b5o37bo2b2o55b5o37bo2b2o49b5o37bo2b2o37b5o37bo2b2o51b5o37bo2b2o$62b
2o2bo73b2o2bo87b2o2bo106b2o2bo86b2o2bo110b2o2bo91b2o2bo73b2o2bo73b2o2b
o79b2o2bo93b2o2bo69bo8b2o2bo88bo8b2o2bo82bo8b2o2bo70bo8b2o2bo84bo8b2o
2bo$61b5o73b5o87b5o106b5o86b5o110b5o91b5o73b5o73b5o79b5o93b5o70bo7b5o
89bo7b5o83bo7b5o71bo7b5o85bo7b5o$20b5o73b5o87b5o106b5o86b5o110b5o91b5o
73b5o73b5o79b5o93b5o78b5o28bo68b5o28bo62b5o28bo50b5o28bo64b5o28bo$19bo
2b2o73bo2b2o87bo2b2o106bo2b2o86bo2b2o110bo2b2o91bo2b2o73bo2b2o73bo2b2o
79bo2b2o93bo2b2o78bo2b2o97bo2b2o91bo2b2o79bo2b2o93bo2b2o$19b2o2bo37b5o
31b2o2bo37b5o45b2o2bo37b5o64b2o2bo37b5o44b2o2bo37b5o68b2o2bo37b5o49b2o
2bo37b5o31b2o2bo37b5o31b2o2bo37b5o37b2o2bo37b5o51b2o2bo37b5o36b2o2bo
25b3o3b3o3b5o55b2o2bo25b3o3b3o3b5o49b2o2bo25b3o3b3o3b5o37b2o2bo25b3o3b
3o3b5o51b2o2bo25b3o3b3o3b5o$62b2o2bo73b2o2bo87b2o2bo106b2o2bo86b2o2bo
110b2o2bo91b2o2bo73b2o2bo73b2o2bo79b2o2bo93b2o2bo78b2o2bo97b2o2bo91b2o
2bo79b2o2bo93b2o2bo$62bo2b2o73bo2b2o87bo2b2o106bo2b2o86bo2b2o110bo2b2o
91bo2b2o73bo2b2o73bo2b2o79bo2b2o93bo2b2o69bo8bo2b2o88bo8bo2b2o82bo8bo
2b2o70bo8bo2b2o84bo8bo2b2o$1057bo101bo70b2o23bo83bo97bo$338b2o89b2o
113b2o94b2o76b2o76b2o82b2o96bobo76bo3bobo95bo3bobo63bobo23bo3bobo77bo
3bobo91bo3bobo$337bo2bo87bo2bo111bo2bo92bo2bo74bo2bo57b3o14bo2bo63b3o
14bo2bo77b3o18bo61b3o18bo80b3o18bo64bo9b3o18bo62b3o18bo76b3o18bo$338b
2o89b2o113b2o94b2o76b2o76b2o82b2o95bo2bo79bo2bo98bo2bo92bo2bo80bo2bo
94bo2bo$776bo5bo77bo5bo91bo5bo11bobobo60bo5bo11bobobo79bo5bo11bobobo
73bo5bo11bobobo61bo5bo11bobobo75bo5bo11bobobo$495bo113b2o165bo5bo77bo
5bo91bo5bo11bo2bo61bo5bo11bo2bo80bo5bo11bo2bo74bo5bo11bo2bo62bo5bo11bo
2bo76bo5bo11bo2bo$493bobo112bo2bo164bo5bo77bo5bo91bo5bo12b2o62bo5bo12b
2o81bo5bo12b2o75bo5bo12b2o63bo5bo12b2o77bo5bo12b2o$106b2o386b2o113b2o
82b2o76b2o82b2o96b2o81b2o100b2o94b2o82b2o96b2o$55b3o47bobo299bo114bo
95bo73bo2bo74bo2bo4b3o73bo2bo4b3o87bo2bo4b3o72bo2bo4b3o91bo2bo4b3o85bo
2bo4b3o73bo2bo4b3o73bo6bo6bo2bo4b3o$55bo51bo298bobo88b2o22bobo93bobo
72bobobo73bobobo79bobobo18bo74bobobo78bobobo97bobobo91bobobo79bobobo
79b2o5b2o5bobobo$56bo349bobo89b2o21bobo79bo13bobo73bob3o73bob3o79bob3o
16bobo74bob3o78bob3o97bob3o91bob3o79bob3o77bobo4bobo6bob3o$407bo89bo
24bo81bo13bo76b3o75b3o81b3o16bobo76b3o80b3o99b3o93b3o81b3o95b3o$602b3o
272bo564bo$40bo2bo74bo2bo88bo2bo107bo2bo87bo2bo111bo2bo92bo2bo74bo2bo
74bo2bo80bo2bo94bo2bo79bo2bo98bo2bo92bo2bo80bo2bo94bo2bo13b2o$38b3o2b
3o70b3o2b3o84b3o2b3o103b3o2b3o83b3o2b3o107b3o2b3o88b3o2b3o70b3o2b3o70b
3o2b3o76b3o2b3o90b3o2b3o75b3o2b3o94b3o2b3o88b3o2b3o76b3o2b3o90b3o2b3o
11bobo$39b2o2b2o72b2o2b2o86b2o2b2o105b2o2b2o85b2o2b2o109b2o2b2o90b2o2b
2o72b2o2b2o72b2o2b2o78b2o2b2o22b3o67b2o2b2o77b2o2b2o96b2o2b2o90b2o2b2o
78b2o2b2o92b2o2b2o$40bo2bo74bo2bo88bo2bo107bo2bo87bo2bo111bo2bo66bo25b
o2bo74bo2bo74bo2bo80bo2bo15b2o6bo70bo2bo79bo2bo98bo2bo92bo2bo80bo2bo
94bo2bo$38bobo2bobo70bobo2bobo84bobo2bobo103bobo2bobo83bobo2bobo12b2o
93bobo2bobo64b2o22bobo2bobo70bobo2bobo70bobo2bobo76bobo2bobo14b2o6bo
67bobo2bobo75bobo2bobo94bobo2bobo88bobo2bobo76bobo2bobo90bobo2bobo$38b
2o4b2o70b2o4b2o84b2o4b2o103b2o4b2o83b2o4b2o11b2o94b2o4b2o63bobo22b2o4b
2o70b2o4b2o70b2o4b2o76b2o4b2o13bo76b2o4b2o75b2o4b2o94b2o4b2o88b2o4b2o
76b2o4b2o90b2o4b2o$379bo51bo172bo$379b2o223b2o$378bobo222bobo115b2o$
482b2o237bobo163b3o$483b2o236bo165bo$482bo405bo$797bo$249b2o545b2o$
249bobo544bobo$249bo$792b3o$253b2o539bo$253bobo34b3o500bo$253bo38bo$
291bo$908b2o$286b3o618b2o$288bo620bo$287bo296b3o$586bo$585bo$810bo$
809b2o$809bobo!
Edit: And here's the full thing in 81 gliders: (Excuse the clumsy triple-fumarole second step, that's to try and sidestep Catagolue's awkward component-separation)

Code: Select all

x = 1623, y = 98, rule = B3/S23
1471bobo$1472b2o$1472bo2$1360bo$329bo1030bobo$328bo1031b2o$328b3o1224b
obo$1556b2o$325bo1230bo$174bo149bo$172bobo149b3o1162bo$173b2o1313bo$
1488b3o$178bo$176bobo1305bobo$177b2o1306b2o$1485bo$obo8bobo1252bo$b2o
8b2o1251b2o133bo177bo$bo10bo1252b2o130bobo175bobo$1342bo55b2o176b2o$
57bo1282b2o$58bo1282b2o$56b3o31b2o4b2o30bo83b2o4b2o70b2o4b2o84b2o4b2o
103b2o4b2o83b2o4b2o107b2o4b2o88b2o4b2o70b2o4b2o70b2o4b2o76b2o4b2o90b2o
4b2o75b2o4b2o94b2o4b2o23bo64b2o4b2o76b2o4b2o90b2o4b2o$4b2o2b2o35bo44bo
bo2bobo29bo84bobo2bobo70bobo2bobo84bobo2bobo103bobo2bobo83bobo2bobo
107bobo2bobo88bobo2bobo70bobo2bobo70bobo2bobo76bobo2bobo90bobo2bobo75b
obo2bobo94bobo2bobo21b2o65bobo2bobo76bobo2bobo74bobo13bobo2bobo$3bobo
2bobo35bo45bo2bo31b3o84bo2bo74bo2bo88bo2bo107bo2bo87bo2bo111bo2bo92bo
2bo74bo2bo74bo2bo80bo2bo94bo2bo79bo2bo98bo2bo24b2o66bo2bo80bo2bo70bo5b
2o16bo2bo$5bo2bo35b3o44b2o2b2o43bo72b2o2b2o72b2o2b2o86b2o2b2o105b2o2b
2o85b2o2b2o109b2o2b2o90b2o2b2o72b2o2b2o72b2o2b2o78b2o2b2o92b2o2b2o77b
2o2b2o96b2o2b2o90b2o2b2o78b2o2b2o67bobo6bo15b2o2b2o$90b3o2b3o41bo72b3o
2b3o70b3o2b3o84b3o2b3o103b3o2b3o83b3o2b3o107b3o2b3o88b3o2b3o70b3o2b3o
70b3o2b3o76b3o2b3o90b3o2b3o23bo51b3o2b3o94b3o2b3o88b3o2b3o76b3o2b3o67b
2o21b3o2b3o$92bo2bo43b3o72bo2bo74bo2bo88bo2bo107bo2bo87bo2bo111bo2bo
92bo2bo74bo2bo74bo2bo80bo2bo94bo2bo23b2o54bo2bo98bo2bo18b2o72bo2bo80bo
2bo94bo2bo$59bo1103b2o177bobo79b2o82b2o77bo18b2o$57bobo332bo110bo90bo
114bo95bo77bo77bo83bo97bo82bo24bo76bo13bo81b3o81b3o75bobo17b3o$54bo3b
2o66bo244bo19bobo108bobo88bobo112bobo93bobo75bobo75bobo81bobo81bo13bob
o80bobo21b2o76bobo94b2obo80b2obo74bobo17b2obo$52bobo71bobo243bo18bobo
108bobo4bo83bobo112bobo93bobo75bobo75bobo81bobo82b2o11bobo80bobo22b2o
75bobo96bobo81bobo74bo20bobo$b3o6b3o40b2o63bo7b2o3bo238b3o19bo110bo5bo
bo82bo114bo95bo77bo77bo83bo82b2o13bo82bo101bo96bo2bo73b3o4bo2bo87b3o4b
o2bo$3bo6bo106bo13bobo375b2o742b2o81b2o88b2o82b2o96b2o$2bo8bo105b3o11b
2o1120bobo79bo2bo161bo5bo91bo5bo$1253bo82b2o162bo5bo91bo5bo$1500bo5bo
91bo5bo$4bo62bo48bo160b2o90b2o109b2o89b2o113b2o94b2o76b2o76b2o82b2o96b
2o81b2o100b2o94b2o82b2o96b2o$4b2o62bo46bo160bo2bo88bo2bo107bo2bo87bo2b
o111bo2bo92bo2bo74bo2bo26bo47bo2bo80bo2bo94bo2bo79bo2bo98bo2bo92bo2bo
80bo2bo14b3o77bo2bo14b3o$3bobo60b3o46b3o159b2o90b2o109b2o89b2o113b2o
94b2o76b2o27bobo46b2o82b2o96b2o81b2o100b2o94b2o82b2o96b2o$889b2o$191b
2o2bo73b2o2bo87b2o2bo106b2o2bo86b2o2bo110b2o2bo6b3o82b2o2bo6b3o64b2o2b
o6b3o64b2o2bo6b3o70b2o2bo6b3o84b2o2bo6b3o69b2o2bo6b3o88b2o2bo6b3o82b2o
2bo6b3o70b2o2bo6b3o84b2o2bo6b3o$191bo2b2o73bo2b2o87bo2b2o106bo2b2o86bo
2b2o110bo2b2o91bo2b2o73bo2b2o73bo2b2o79bo2b2o93bo2b2o78bo2b2o97bo2b2o
91bo2b2o79bo2b2o93bo2b2o$192b5o37bo2b2o31b5o37bo2b2o45b5o37bo2b2o64b5o
37bo2b2o44b5o37bo2b2o68b5o37bo2b2o49b5o37bo2b2o31b5o37bo2b2o31b5o37bo
2b2o37b5o37bo2b2o51b5o37bo2b2o36b5o37bo2b2o55b5o37bo2b2o49b5o37bo2b2o
37b5o37bo2b2o51b5o37bo2b2o$234b2o2bo73b2o2bo87b2o2bo106b2o2bo86b2o2bo
110b2o2bo91b2o2bo73b2o2bo73b2o2bo79b2o2bo93b2o2bo69bo8b2o2bo88bo8b2o2b
o82bo8b2o2bo70bo8b2o2bo84bo8b2o2bo$233b5o73b5o87b5o106b5o86b5o110b5o
91b5o73b5o73b5o79b5o93b5o70bo7b5o89bo7b5o83bo7b5o71bo7b5o85bo7b5o$70bo
42bo78b5o73b5o87b5o106b5o86b5o110b5o91b5o73b5o73b5o79b5o93b5o78b5o28bo
68b5o28bo62b5o28bo50b5o28bo64b5o28bo$68bobo42bobo75bo2b2o73bo2b2o87bo
2b2o106bo2b2o86bo2b2o110bo2b2o91bo2b2o73bo2b2o73bo2b2o79bo2b2o93bo2b2o
78bo2b2o97bo2b2o91bo2b2o79bo2b2o93bo2b2o$69b2o42b2o76b2o2bo37b5o31b2o
2bo37b5o45b2o2bo37b5o64b2o2bo37b5o44b2o2bo37b5o68b2o2bo37b5o49b2o2bo
37b5o31b2o2bo37b5o31b2o2bo37b5o37b2o2bo37b5o51b2o2bo37b5o36b2o2bo25b3o
3b3o3b5o55b2o2bo25b3o3b3o3b5o49b2o2bo25b3o3b3o3b5o37b2o2bo25b3o3b3o3b
5o51b2o2bo25b3o3b3o3b5o$234b2o2bo73b2o2bo87b2o2bo106b2o2bo86b2o2bo110b
2o2bo91b2o2bo73b2o2bo73b2o2bo79b2o2bo93b2o2bo78b2o2bo97b2o2bo91b2o2bo
79b2o2bo93b2o2bo$234bo2b2o73bo2b2o87bo2b2o106bo2b2o86bo2b2o110bo2b2o
91bo2b2o73bo2b2o73bo2b2o79bo2b2o93bo2b2o69bo8bo2b2o88bo8bo2b2o82bo8bo
2b2o70bo8bo2b2o84bo8bo2b2o$1229bo101bo70b2o23bo83bo97bo$510b2o89b2o
113b2o94b2o76b2o76b2o82b2o96bobo76bo3bobo95bo3bobo63bobo23bo3bobo77bo
3bobo91bo3bobo$509bo2bo87bo2bo111bo2bo92bo2bo74bo2bo57b3o14bo2bo63b3o
14bo2bo77b3o18bo61b3o18bo80b3o18bo64bo9b3o18bo62b3o18bo76b3o18bo$510b
2o89b2o113b2o94b2o76b2o76b2o82b2o95bo2bo79bo2bo98bo2bo92bo2bo80bo2bo
94bo2bo$948bo5bo77bo5bo91bo5bo11bobobo60bo5bo11bobobo79bo5bo11bobobo
73bo5bo11bobobo61bo5bo11bobobo75bo5bo11bobobo$667bo113b2o165bo5bo77bo
5bo91bo5bo11bo2bo61bo5bo11bo2bo80bo5bo11bo2bo74bo5bo11bo2bo62bo5bo11bo
2bo76bo5bo11bo2bo$53b2o610bobo112bo2bo164bo5bo77bo5bo91bo5bo12b2o62bo
5bo12b2o81bo5bo12b2o75bo5bo12b2o63bo5bo12b2o77bo5bo12b2o$52bobo223b2o
386b2o113b2o82b2o76b2o82b2o96b2o81b2o100b2o94b2o82b2o96b2o$54bo3b2o71b
2o94b3o47bobo299bo114bo95bo73bo2bo74bo2bo4b3o73bo2bo4b3o87bo2bo4b3o72b
o2bo4b3o91bo2bo4b3o85bo2bo4b3o73bo2bo4b3o73bo6bo6bo2bo4b3o$57bobo71bob
o93bo51bo298bobo88b2o22bobo93bobo72bobobo73bobobo79bobobo18bo74bobobo
78bobobo97bobobo91bobobo79bobobo79b2o5b2o5bobobo$59bo66b2o3bo96bo349bo
bo89b2o21bobo79bo13bobo73bob3o73bob3o79bob3o16bobo74bob3o78bob3o97bob
3o91bob3o79bob3o77bobo4bobo6bob3o$126bobo450bo89bo24bo81bo13bo76b3o75b
3o81b3o16bobo76b3o80b3o99b3o93b3o81b3o95b3o$126bo647b3o272bo564bo$44b
3o165bo2bo74bo2bo88bo2bo107bo2bo87bo2bo111bo2bo92bo2bo74bo2bo74bo2bo
80bo2bo94bo2bo79bo2bo98bo2bo92bo2bo80bo2bo94bo2bo13b2o$46bo163b3o2b3o
70b3o2b3o84b3o2b3o103b3o2b3o83b3o2b3o107b3o2b3o88b3o2b3o70b3o2b3o70b3o
2b3o76b3o2b3o90b3o2b3o75b3o2b3o94b3o2b3o88b3o2b3o76b3o2b3o90b3o2b3o11b
obo$45bo93b3o69b2o2b2o72b2o2b2o86b2o2b2o105b2o2b2o85b2o2b2o109b2o2b2o
90b2o2b2o72b2o2b2o72b2o2b2o78b2o2b2o22b3o67b2o2b2o77b2o2b2o96b2o2b2o
90b2o2b2o78b2o2b2o92b2o2b2o$56b3o80bo72bo2bo74bo2bo88bo2bo107bo2bo87bo
2bo111bo2bo66bo25bo2bo74bo2bo74bo2bo80bo2bo15b2o6bo70bo2bo79bo2bo98bo
2bo92bo2bo80bo2bo94bo2bo$58bo81bo69bobo2bobo70bobo2bobo84bobo2bobo103b
obo2bobo83bobo2bobo12b2o93bobo2bobo64b2o22bobo2bobo70bobo2bobo70bobo2b
obo76bobo2bobo14b2o6bo67bobo2bobo75bobo2bobo94bobo2bobo88bobo2bobo76bo
bo2bobo90bobo2bobo$57bo69b3o80b2o4b2o70b2o4b2o84b2o4b2o103b2o4b2o83b2o
4b2o11b2o94b2o4b2o63bobo22b2o4b2o70b2o4b2o70b2o4b2o76b2o4b2o13bo76b2o
4b2o75b2o4b2o94b2o4b2o88b2o4b2o76b2o4b2o90b2o4b2o$127bo423bo51bo172bo$
128bo422b2o223b2o$550bobo222bobo115b2o$654b2o237bobo163b3o$655b2o236bo
165bo$654bo405bo$969bo$421b2o545b2o$421bobo544bobo$421bo$964b3o$425b2o
539bo$425bobo34b3o500bo$425bo38bo$463bo$1080b2o$458b3o618b2o$460bo620b
o$459bo296b3o$758bo$757bo$982bo$981b2o$66bo50bo863bobo$66b2o48b2o$65bo
bo48bobo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Synthesising Oscillators

Post by GUYTU6J » June 2nd, 2021, 7:47 am

Well done, iNoMed!
---
Pulshuttle V in 48G:

Code: Select all

x = 634, y = 64, rule = B3/S23
218bo$217bo$217b3o3$453bobo72bobo$207bo245b2o74b2o$206bo241bo5bo74bo5b
o$206b3o231bobo5bobo82bobo5bobo63bo$441b2o5b2o84b2o5b2o62bobo$441bo
100bo63b2o9bo$358bo257bo$184bo174bo256b3o$182bobo172b3o$183b2o182bo$
367bobo$367b2o155bo79bo14bo$43bobo303bo173bobo77bobo12bobo$43b2o58bo
243bobo174bo79bo14bo$44bo57bo245b2o$102b3o235bo$160bo27bo81bo9bo2bo4bo
2bo48b2o28bo9bo2bo4bo2bo40bo2bo4bo2bo6bo9bo2bo4bo2bo40bo2bo4bo2bo6bo9b
o2bo4bo2bo40bo2bo4bo2bo6bo9bo2bo4bo2bo$159bobo26bobo78bobo6b3o2b6o2b3o
45bobo27bobo6b3o2b6o2b3o36b3o2b6o2b3o3bobo6b3o2b6o2b3o36b3o2b6o2b3o3bo
bo6b3o2b6o2b3o36b3o2b6o2b3o3bobo6b3o2b6o2b3o$159bobo26b2o79bobo8bo2bo
4bo2bo52b3o22bobo8bo2bo4bo2bo40bo2bo4bo2bo5bobo8bo2bo4bo2bo40bo2bo4bo
2bo5bobo8bo2bo4bo2bo40bo2bo4bo2bo5bobo8bo2bo4bo2bo$160bo109bo75bo23bo
79bo79bo79bo$345bo$19bo85b3o$20bo84bo$18b3o85bo85b2o$2bo2bo4bo2bo18bo
49bo2bo4bo2bo48bo2bo4bo2bo38bobo57bo2bo4bo2bo16bo2bo4bo2bo60bo2bo4bo2b
o16bo2bo4bo2bo40bo2bo4bo2bo16bo2bo4bo2bo40bo2bo4bo2bo16bo2bo4bo2bo40bo
2bo4bo2bo16bo2bo4bo2bo$3o2b6o2b3o15bo48b3o2b6o2b3o6bo37b3o2b6o2b3o6bo
29bo57b3o2b6o2b3o6bo5b3o2b6o2b3o56b3o2b6o2b3o6bo5b3o2b6o2b3o36b3o2b6o
2b3o6bo5b3o2b6o2b3o36b3o2b6o2b3o6bo5b3o2b6o2b3o36b3o2b6o2b3o6bo5b3o2b
6o2b3o$2bo2bo4bo2bo17b3o48bo2bo4bo2bo7bobo38bo2bo4bo2bo7bobo88bo2bo4bo
2bo7bobo6bo2bo4bo2bo60bo2bo4bo2bo7bobo6bo2bo4bo2bo40bo2bo4bo2bo7bobo6b
o2bo4bo2bo40bo2bo4bo2bo7bobo6bo2bo4bo2bo40bo2bo4bo2bo7bobo6bo2bo4bo2bo
$101b2o58b2o46b3o59b2o98b2o78b2o78b2o78b2o$209bo$28b2o180bo$27bobo73b
2o58b2o108b2o23bo74b2o78b2o78b2o78b2o$29bo72bo2bo56bo2bo106bo2bo21bo
74bo2bo76bo2bo76bo2bo76bo2bo$2bo2bo4bo2bo68bo2bo4bo2bo8bobo37bo2bo4bo
2bo8bobo47b2o38bo2bo4bo2bo8bobo22b3o52bo2bo4bo2bo8bobo5bo2bo4bo2bo40bo
2bo4bo2bo8bobo5bo2bo4bo2bo40bo2bo4bo2bo8bobo5bo2bo4bo2bo40bo2bo4bo2bo
8bobo5bo2bo4bo2bo$3o2b6o2b3o64b3o2b6o2b3o7bo36b3o2b6o2b3o7bo47b2o37b3o
2b6o2b3o7bo28bobo45b3o2b6o2b3o7bo4b3o2b6o2b3o36b3o2b6o2b3o7bo4b3o2b6o
2b3o36b3o2b6o2b3o7bo4b3o2b6o2b3o36b3o2b6o2b3o7bo4b3o2b6o2b3o$2bo2bo4bo
2bo68bo2bo4bo2bo48bo2bo4bo2bo59bo38bo2bo4bo2bo38b2o48bo2bo4bo2bo16bo2b
o4bo2bo40bo2bo4bo2bo16bo2bo4bo2bo40bo2bo4bo2bo16bo2bo4bo2bo40bo2bo4bo
2bo16bo2bo4bo2bo$303bo$294b2o$294bobo322bo$294bo323bobo$275b2o342bo$
274bobo329b2o$276bo328bobo$284b3o320bo$284bo$285bo$542bo$534b2o5b2o$
533bobo5bobo55b3o$529bo5bo65bo$529b2o69bo22bo$528bobo60b2o29b2o$590bob
o29bobo$592bo2$588bo$588b2o4b2o$587bobo5b2o23b3o$594bo25bo$621bo!
GUYTU6J wrote:
April 18th, 2020, 10:29 am
My 1000th post for an expensive 78G p29 pentadecathlon hassler (nonacosathlon?)...
Reduced by 10G:

Code: Select all

x = 724, y = 45, rule = B3/S23
30bo$29bo$29b3o2$26b2o$26b2o2$43bo81bo$44bo78b2o$42b3o79b2o$20b2o34b2o
52b2o34b2o52b2o34b2o52b2o34b2o52b2o34b2o52b2o34b2o62b2o34b2o62b2o34b2o
$19bobo34bobo50bobo34bobo50bobo34bobo50bobo34bobo50bobo34bobo50bobo34b
obo60bobo34bobo60bobo34bobo$19bo38bo50bo38bo50bo38bo50bo38bo50bo38bo
50bo38bo60bo38bo60bo38bo$17b2ob4o30b4ob2o46b2ob4o30b4ob2o46b2ob4o30b4o
b2o46b2ob4o30b4ob2o46b2ob4o30b4ob2o46b2ob4o30b4ob2o56b2ob4o30b4ob2o56b
2ob4o30b4ob2o$16bobobo2bo30bo2bobobo44bobobo2bo30bo2bobobo44bobobo2bo
30bo2bobobo44bobobo2bo30bo2bobobo44bobobo2bo30bo2bobobo44bobobo2bo30bo
2bobobo54bobobo2bo30bo2bobobo54bobobo2bo30bo2bobobo$16bobo40bobo44bobo
31b2o7bobo44bobo7b2o22b2o7bobo44bobo7b2o22b2o7bobo44bobo7b2o22b2o7bobo
44bobo7b2o22b2o7bobo54bobo7b2o22b2o7bobo54bobo7b2o22b2o7bobo$14b2o2bo
40bo2b2o40b2o2bo31b2o7bo2b2o40b2o2bo7b2o15b2o5b2o7bo2b2o40b2o2bo7b2o5b
2o8b2o5b2o7bo2b2o40b2o2bo7b2o5b2o8b2o5b2o7bo2b2o40b2o2bo7b2o5b2o8b2o5b
2o7bo2b2o50b2o2bo7b2o5b2o8b2o5b2o7bo2b2o50b2o2bo7b2o5b2o8b2o5b2o7bo2b
2o$13bo4b2o38b2o4bo38bo4b2o38b2o4bo38bo4b2o24bo13b2o4bo38bo4b2o13bo10b
o13b2o4bo38bo4b2o13bo10bo13b2o4bo38bo4b2o13bo10bo13b2o4bo48bo4b2o13bo
10bo13b2o4bo48bo4b2o13bo10bo13b2o4bo$13b5o42b5o38b5o25b2o15b5o38b5o15b
2o9bobo13b5o38b5o13bobo10bobo13b5o38b5o13bobo10bobo13b5o38b5o13bobo10b
obo13b5o48b5o13bobo10bobo13b5o48b5o13bobo10bobo13b5o$11b2o4bo42bo4b2o
34b2o4bo24bobo15bo4b2o34b2o4bo15bobo9b2o13bo4b2o34b2o4bo13b2o12b2o13bo
4b2o34b2o4bo13b2o12b2o13bo4b2o34b2o4bo13b2o12b2o13bo4b2o44b2o4bo13b2o
12b2o13bo4b2o44b2o4bo13b2o12b2o13bo4b2o$10bo2b2o48b2o2bo32bo2b2o29bo3b
o14b2o2bo32bo2b2o14bo3bo29b2o2bo32bo2b2o48b2o2bo32bo2b2o48b2o2bo32bo2b
2o48b2o2bo42bo2b2o48b2o2bo42bo2b2o48b2o2bo$10b2obo50bob2o32b2obo33b2o
15bob2o32b2obo15b2o33bob2o32b2obo50bob2o32b2obo50bob2o32b2obo50bob2o
42b2obo50bob2o42b2obo50bob2o$2bo10bo50bo38bo33bobo14bo38bo14bobo33bo
38bo50bo38bo50bo38bo50bo48bo20bo7bo21bo48bo20bo7bo21bo$obo10b2o48b2o
38b2o48b2o38b2o48b2o38b2o37bo4bo5b2o38b2o5bo4bo31bo5b2o38b2o5bo36bo5b
2o39bo8b2o5bo13bo7bo14bo5b2o48b2o5bo13bo7bo14bo5b2o$b2o36b3o85b2o193b
2o2b2o52b2o2b2o25b2o3bobo50bobo3b2o24b2o3bobo43bobo14bobo3b2o7bo7bo8b
2o3bobo60bobo3b2o7bo7bo8b2o3bobo$41bo84b2o193bobo2bobo50bobo2bobo24bob
o2bo2bo48bo2bo2bobo24bobo2bo2bo43b2o13bo2bo2bobo24bobo2bo2bo58bo2bo2bo
bo24bobo2bo2bo$4b2o34bo87bo283b2o3b2o50b2o3b2o26b2o3b2o60b2o3b2o26b2o
3b2o60b2o3b2o26b2o3b2o$4b2o489b3o165b2o48b2o$495bo166bo2bo46bo2bo$315b
2o74b2o98b2o3bo115b3o4bo42bo2bo33bo12bo2bo$314bobo74bobo96bobo121bo3b
2o43b2o11b3o5b3o11bobo12b2o$316bo12b3o44b3o12bo100bo120bo4bobo57bo7bo
12bo$329bo48bo288b2o8bo7bo23b2o$330bo46bo191bo98b2o38b2o$315b2o74b2o
175b2o97bo42bo$314bobo74bobo174bobo$316bo74bo287b2o$599bo78bobo3b2o$
591b2o5b2o80bo2b2o$499b3o88bobo5bobo68b3o13bo$499bo92bo15b2o49b2o10bo
45b2o$471b2o27bo106b2o51b2o8bo45b2o$470bobo136bo45bo3bo58bo3bo$472bo
182b2o64b2o$654bobo64bobo!
These rely heavily on octohash pre-pulsar seeds.
---
I could envision that the following oscillators are challenging, so it would be nice if anyone synthesizes sailboat, sixty-nine, dinner table, p26 pre-pulsar shuttle, p58 pre-pulsar shuttle or p64 pre-pulsar shuttle. (EDIT: and also Ellison p4 HW emulator and that series of p4 oscs; I'm not sure if gourmet, popover and pi portraitor are possible) (EDIT again: and also p36 shuttle, windmill and the skewed 55P10)
Last edited by GUYTU6J on June 7th, 2021, 4:52 am, edited 1 time in total.

Post Reply