Synthesising Oscillators

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » February 2nd, 2022, 12:14 pm

muzik wrote:
February 2nd, 2022, 11:47 am
muzik wrote:
February 1st, 2022, 10:00 pm
and get the funny feeling that Catagolue is going to reject this for some unseen reason, but this seems fine to me so far. If there's no xp856 entry on the syntheses list when I wake up, then I'll at least know something is wrong, while knowing absolutely nothing that is actually wrong.
As it turns out, Catagolue did seem to reject it...
Your previous submission did get processed, since there's a 24G xp8 in there now, but the next stage should be a 37G xp8 with three galaxies, and that one isn't showing up. My guess would be the same as yours, that that next stage might have gotten mis-identified because there are gaps in the middle of a stage with more than 20 blank columns. I could be wrong about that, though.

Your synthesis is fine, but it could use a little more optimization. For example, there's no reason to build the two-beehive bait for the second galaxy construction linked to above, using a kicked-back glider. That constellation is symmetrical, so just flip the recipe around! So that will be 23 gliders for that stage.

Breaking up the recipe into more stages can help make this kind of thing easier to see. Going to fewer stages is often a step in the wrong direction, when you're trying to figure out exactly what is making Catagolue unhappy.

Code: Select all

x = 284, y = 83, rule = LifeHistory
231.A$229.A.A$230.2A$260.A.A$260.2A$261.A5$278.A$277.A$277.3A2$38.A
243.A$36.A.A242.A$37.2A242.3A$45.A.A$45.2A$46.A$44.2D208.2C$43.D2.D
206.C2.C$44.2D208.2C7.A.A$49.3A211.2A$41.2D6.A201.2C11.A$40.D2.D6.A
199.C2.C$41.2D204.A3.2C$245.A.A$246.2A2$223.3A$225.A$224.A2$227.3A$
229.A$228.A8$275.2A$275.A.A$275.A28$2A.6A201.2A.6A$2A.6A201.2A.6A$2A
208.2A$2A5.2A201.2A5.2A$2A5.2A201.2A5.2A$2A5.2A201.2A5.2A$7.2A208.2A$
6A.2A201.6A.2A$6A.2A201.6A.2A!
Then toward the end you build five LWSSes using four gliders each, for no apparent reason. A 3G recipe will work fine, just maybe construct the LWSSes a little farther away.

For the last of the five LWSSes, octohash suggests an interesting alternate option for starting up the Herschel loop. There's exactly one result in the octohash database for the active reaction that you see after a Herschel has gone through a dependent-conduit block:

Code: Select all

x = 134, y = 119, rule = LifeHistory
17.A.A$18.2A$18.A5$24.A$A.A19.A.A$.2A20.2A$.A3$60.A$58.2A10.A.A2.A28.
A$7.A51.2A9.3A.A.2A24.3A$5.A.A27.A33.A6.A24.A$6.2A28.A33.A5.2A23.2A$
34.3A$69.2A5.A$70.A6.A$43.A25.2A.A.3A$41.2A28.A2.A.A$42.2A$18.A$19.A$
17.3A5$112.A$110.3A$109.A$109.2A7$83.2A$83.2A$26.C$27.2C$26.2C7$126.
2A$126.A$125.2A2.3A$125.A3.A.3A$87.2A36.2A.A4.A$73.4A10.2A38.A.A$72.A
7.2A41.A4.A.2A$72.A3.2A2.2A6.A34.3A.A3.A$73.A2.2A9.A.A35.3A2.2A$86.A
2.A40.A$57.2A26.A2.A40.2A$57.2A$85.A2.A$74.2A11.2A$74.2A$104.2A$75.A
28.2A$30.2A.6A35.A.A$30.2A.6A34.A2.A5.4A$30.2A40.A2.A5.A7.2A$30.2A5.
2A42.A3.2A2.2A$30.2A5.2A33.A2.A6.A2.2A$30.2A5.2A35.2A$37.2A$30.6A.2A$
30.6A.2A7$75.2B5.BD$75.4B.2BDBD44.2A$75.6BC3B44.A.A$75.5BCDC2B46.A$
75.2B2DBCDC2B46.2A$75.B2CD2BC2DB$75.C2BC3B2DB$75.C2BC3BDBD$76.2C2.2B
3D$81.B.D28.2A$112.A.A$114.A$52.2A60.2A$53.A$50.3A$50.A7$90.2A$89.4A$
85.A.2A.2A.A$84.A2.2A$83.3A2.2A2.2A$83.3A2.A.4A$84.A2.A3.A2.A$60.2A
23.4A.A2.3A$61.A23.2A2.2A2.3A$58.3A29.2A2.A$58.A26.A.2A.2A.A$86.4A$
87.2A!
That will save the LWSS+glider cost plus two more cleanup gliders plus the cost of the block, minus one activation glider. If that doesn't work for some reason, there are definitely other cheaper ways than the LWSS+glider method you used, to get a B-heptomino (or better, a pre-Herschel that doesn't need the block cleanup).

Amazingly, there's even a 3G way to build that hivenpond constellation, so if the obstructing block can be built later without too much extra cost, it will be a pretty good improvement:

Code: Select all

x = 134, y = 119, rule = B3/S23
17bobo$18b2o$18bo5$24bo$obo19bobo$b2o20b2o$bo3$60bo$58b2o10bobo2bo28bo
$7bo51b2o9b3obob2o24b3o$5bobo27bo33bo6bo24bo$6b2o28bo33bo5b2o23b2o$34b
3o$69b2o5bo$70bo6bo$43bo25b2obob3o$41b2o28bo2bobo$42b2o$18bo$19bo$17b
3o5$112bo$110b3o$109bo$109b2o7$83b2o$83b2o$26bo$27b2o$26b2o7$126b2o$
126bo$125b2o2b3o$125bo3bob3o$87b2o36b2obo4bo$73b4o10b2o38bobo$72bo7b2o
41bo4bob2o$72bo3b2o2b2o6bo34b3obo3bo$73bo2b2o9bobo35b3o2b2o$86bo2bo40b
o$57b2o26bo2bo40b2o$57b2o$85bo2bo$74b2o11b2o$74b2o$61bobo40b2o$62b2o
11bo28b2o$30b2ob6o23bo11bobo$30b2ob6o19bo14bo2bo5b4o$30b2o27bo12bo2bo
5bo7b2o$30b2o5b2o18b3o21bo3b2o2b2o$30b2o5b2o33bo2bo6bo2b2o$30b2o5b2o
35b2o$37b2o$30b6ob2o$30b6ob2o8$129b2o$129bobo$131bo$131b2o5$112b2o$
112bobo$114bo$52b2o60b2o$53bo$50b3o$50bo7$90b2o$89b4o$85bob2ob2obo5b3o
$84bo2b2o10bo$83b3o2b2o2b2o6bo$83b3o2bob4o$84bo2bo3bo2bo$60b2o23b4obo
2b3o$61bo23b2o2b2o2b3o$58b3o29b2o2bo$58bo26bob2ob2obo$86b4o$87b2o!
muzik wrote:
February 1st, 2022, 10:00 pm
It wouldn't surprise me in the slightest to find out this actually has been synthesized before, and that this was all for nothing...
Can't be all for nothing, as long as it's good practice for future synthesizing!

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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » February 2nd, 2022, 12:30 pm

dvgrn wrote:
February 2nd, 2022, 12:14 pm
Amazingly, there's even a 3G way to build that hivenpond constellation, so if the obstructing block can be built later without too much extra cost, it will be a pretty good improvement...
Heh, yup, the current recipe uses five (FIVE! yikes!) gliders for each of those blocks, but they can just as easily be done with two, which gets rid of the rest of the wild LWSS-building.

Code: Select all

x = 371, y = 355, rule = LifeHistory
17.A.A$18.2A$18.A5$24.A$A.A19.A.A$.2A20.2A$.A3$358.A$356.2A$7.A349.2A
$5.A.A27.A$6.2A28.A$34.3A3$341.A$339.2A$340.2A$18.A$19.A$17.3A$48.A$
49.2A$48.2A3$41.A$39.A.A$40.2A7$59.A$60.2A$59.2A8$36.A$34.A.A$35.2A$
300.A5.A$300.A.A.2A$300.2A3.2A$41.A$39.A.A$40.2A15$345.A$345.A.A$345.
2A3$339.A$337.2A$338.2A10$328.A.A22.A$328.2A23.A.A$329.A23.2A3$347.A$
345.2A$346.2A10$336.A.A$336.2A$337.A29$174.A.A$175.2A$175.A16$261.A$
260.A44.A$260.3A40.2A$304.2A$223.2A$222.4A$218.A.2A.2A.A$217.A2.2A$
216.3A2.2A2.2A$216.3A2.A.4A$217.A2.A3.A2.A$218.4A.A2.3A$218.2A2.2A2.
3A$223.2A2.A$218.A.2A.2A.A$219.4A$220.2A2$120.A$121.A$119.3A5$175.A$
173.A.A$174.2A8$128.A$129.A$127.3A8$273.2A.6A$273.2A.6A$273.2A$236.2A
35.2A5.2A$225.2A2.A6.A2.A33.2A5.2A$221.2A2.2A3.A42.2A5.2A$221.2A7.A5.
A2.A40.2A$226.4A5.A2.A34.6A.2A$235.A.A35.6A.2A$236.A2$236.2A$223.2A
11.2A$223.A2.A2$181.2A40.A2.A$181.A40.A2.A$180.2A2.3A35.A.A9.2A2.A$
180.A3.A.3A34.A6.2A2.2A3.A$180.2A.A4.A41.2A7.A$182.A.A38.2A10.4A$178.
A4.A.2A36.2A$178.3A.A3.A$180.3A2.2A$185.A$184.2A7$331.3A$331.A$332.A
8$285.2A$285.A.A$285.A5$339.3A$339.A$340.A4$235.A.A2.A$235.3A.A.2A$
234.A6.A$235.A5.2A2$234.2A5.A$235.A6.A$234.2A.A.3A$236.A2.A.A3$155.2A
$156.2A40.3A$155.A44.A$199.A16$285.A$284.2A$284.A.A23$352.2A$351.2A$
353.A$209.2A$208.A.A$210.A$123.A$123.2A$122.A.A210.2A$334.2A28.A$336.
A26.2A$192.2A169.A.A$191.A.A$193.A4$347.A20.3A$113.2A231.2A20.A$114.
2A230.A.A20.A$113.A3$106.2A23.A$105.A.A23.2A$107.A22.A.A218.3A$351.A$
352.A8$121.2A$122.2A$121.A3$114.2A$113.A.A$115.A!
So if you just take out the southmost block construction, and replace it with the 3G hivenpond recipe... then you'll be getting to where my very limited synthesis ability can't suggest any more improvements, and somebody with more synth-fu will have to take over.

I wouldn't be surprised if there's a 3G eater synthesis to replace the 4G synthesis used above, but I haven't tried looking with synth-const-4G-Python3.py, or just even just hunting for an appropriate kickback to produce the 2G recipe.

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muzik
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Re: Synthesising Oscillators

Post by muzik » February 2nd, 2022, 12:49 pm

Here's an improved synthesis with this brand-new information:

Code: Select all

x = 1369, y = 260, rule = B3/S23
287bo$285bobo$286b2o$434bobo$434b2o$435bo5$452bo$451bo$451b3o2$456bo$
455bo$455b3o5$301bo$302b2o278bobo$301b2o280b2o$583bo5$590bo$562bo25bob
o$563b2o24b2o$562b2o213bo$775b2o$776b2o$567bo$568b2o$567b2o774bo$1343b
obo$1343b2o3$753bobo581bo$753b2o580b2o$754bo581b2o4$746bo$746bobo$746b
2o2$1202bo$397bo805bo$396bo523bobo278b3o122bobo22bo$396b3o363bobo156b
2o403b2o23bobo$762b2o157bo405bo23b2o$763bo$306bobo$307b2o1036bo$307bo
877bo20bobo134b2o$755bo430bo20b2o135b2o$755bobo426b3o20bo$755b2o3$
1265bo$1265bobo$391bobo795bobo73b2o$391b2o797b2o26bo$392bo797bo28b2o$
1218b2o114bobo$303bo703bo326b2o$301bobo702bo44bo283bo$302b2o702b3o40b
2o197bo$1050b2o196bobo$669b2o298b2o277b2o19b2o$668b4o296b4o229bo66b4o$
664bob2ob2obo291bob2ob2obo229b2o60bob2ob2obo$663bo2b2o295bo2b2o233b2o
60bo2b2o$662b3o2b2o2b2o289b3o2b2o2b2o289b3o2b2o2b2o$662b3o2bob4o289b3o
2bob4o289b3o2bob4o$663bo2bo3bo2bo289bo2bo3bo2bo289bo2bo3bo2bo$664b4obo
2b3o289b4obo2b3o289b4obo2b3o$664b2o2b2o2b3o289b2o2b2o2b3o289b2o2b2o2b
3o$669b2o2bo295b2o2bo295b2o2bo$664bob2ob2obo291bob2ob2obo291bob2ob2obo
$665b4o296b4o296b4o$666b2o298b2o234bo63b2o$1203b2o$1202b2o3$302bo$300b
obo$301b2o3$101bo$102bo$100b3o$131bo1197b3o$129b2o1198bo$130b2o337bo
860bo$468bo460bobo$468b3o459b2o346b2o$930bo347b2o$317bobo153bo452bo$
318b2o152bo454bo$147bo170bo153b3o450b3o$147bobo$147b2o$117bo$118b2o31b
o$117b2o32bobo$8bo116bo25b2o$9bo115bobo$7b3o115b2o292b2ob6o291b2ob6o
291b2ob6o291b2ob6o$36bo382b2ob6o291b2ob6o291b2ob6o291b2ob6o9b3o$34b2o
383b2o298b2o298b2o298b2o16bo$35b2o93bo288b2o5b2o291b2o5b2o254b2o35b2o
5b2o254b2o35b2o5b2o10bo$123bo5b2o288b2o5b2o291b2o5b2o243b2o2bo6bo2bo
33b2o5b2o243b2o2bo6bo2bo33b2o5b2o$129bobo287b2o5b2o291b2o5b2o239b2o2b
2o3bo42b2o5b2o239b2o2b2o3bo42b2o5b2o$426b2o298b2o239b2o7bo5bo2bo40b2o
239b2o7bo5bo2bo40b2o$419b6ob2o291b6ob2o244b4o5bo2bo34b6ob2o244b4o5bo2b
o34b6ob2o$419b6ob2o291b6ob2o253bobo35b6ob2o253bobo35b6ob2o$52bo929bo
269b2o28bo$52bobo39b2o1156b2o$52b2o39bobo886b2o298b2o$95bo873b2o11b2o
285b2o11b2o$56bo912bo2bo296bo2bo$56bobo39b2o1199b2o$56b2o39bobo227b2o
298b2o298b2o40bo2bo254b2o40bo2bo26b2o$99bo227bo299bo299bo40bo2bo255bo
40bo2bo$326b2o2b3o293b2o2b3o293b2o2b3o35bobo9b2o2bo241b2o2b3o35bobo9b
2o2bo$326bo3bob3o291bo3bob3o291bo3bob3o34bo6b2o2b2o3bo240bo3bob3o34bo
6b2o2b2o3bo$326b2obo4bo291b2obo4bo291b2obo4bo41b2o7bo240b2obo4bo41b2o
7bo$22bobo4bo298bobo297bobo297bobo38b2o10b4o243bobo38b2o10b4o$23b2o
299bo4bob2o291bo4bob2o291bo4bob2o36b2o243bo9bo4bob2o36b2o$23bo91b2o
207b3obo3bo291b3obo3bo291b3obo3bo282bo8b3obo3bo$27b2o87b2o208b3o2b2o
293b3o2b2o293b3o2b2o280b3o10b3o2b2o$26bobo86bo215bo299bo299bo299bo$b2o
25bo115b3o183b2o298b2o298b2o298b2o$obo30b2o109bo$2bo29b2o111bo$34bo$5b
2o$4bobo$6bo272b3o151bo$281bo150b2o$280bo151bobo841bo$1275bobo$283b3o
989bobo$285bo985b2o3bo$22b2o260bo985bo2bo$23b2o1197bo47bo2bo$22bo1200b
o47b2o$49b3o1169b3o$49bo$50bo980b2o$1031bobo$1031bo$449b2o$449bobo$
449bo8$681bobo2bo294bobo2bo294bobo2bo$681b3obob2o292b3obob2o292b3obob
2o$680bo6bo292bo6bo292bo6bo$681bo5b2o292bo5b2o292bo5b2o2$680b2o5bo292b
2o5bo292b2o5bo$681bo6bo292bo6bo292bo6bo$680b2obob3o292b2obob3o292b2obo
b3o62b2o$682bo2bobo294bo2bobo294bo2bobo61b2o$1351bo$1303b2o$901b2o399b
obo$902b2o40b3o357bo$450b2o449bo44bo270bo$450bobo492bo271b2o$450bo765b
obo114b2o$1332b2o28bo$359bo974bo26b2o$359b2o925b2o73bobo$358bobo924bob
o$1287bo4$743b2o600bo20b3o$742b2o463b2o135b2o20bo$744bo463b2o134bobo
20bo$446bo574b3o183bo$445b2o574bo$445bobo574bo$1200b2o23bo$1199bobo23b
2o$353b3o845bo22bobo122b3o$355bo236b2o755bo$354bo238b2o755bo$592bo2$
752b2o$587b2o162b2o$588b2o163bo$587bo2$1215b2o$1216b2o$1215bo2$601b2o$
602b2o604b2o$601bo605bobo$1209bo$785b2o$576b2o18b2o186b2o$577b2o18b2o
187bo$576bo19bo$761b2o$761bobo26b2o$761bo27b2o$791bo4$768bo$767b2o$
767bobo$451b2o$450b2o$452bo5$294b3o$296bo$295bo2$298b3o$300bo$299bo5$
316bo$316b2o$315bobo$466b2o$466bobo$466bo!
If I've counted correctly, these changes in specific should bring this oscillator down to 110G, and the gun to 94G.

Somehow I never considered making the blocks from 2G in a way that wasn't a 90 degree collision, since I automatically assumed the galaxies would get in the way...

This synthesis is a bit more granular than the first one pre-continuousifying since I often try to build multiple stationary objects at once as to try and prevent Catagolue from ignoring the fact that they're part of the same thing and incorrectly separating them. I also haven't tried optimising the galaxy side of things, which might cut down on some stuff.

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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » February 2nd, 2022, 1:35 pm

muzik wrote:
February 2nd, 2022, 12:49 pm
Here's an improved synthesis with this brand-new information...
At least four of the eight eaters can be done with 3G instead of 4G, with just a kickback:

Code: Select all

x = 70, y = 94, rule = LifeHistory
$24.2A.6A$24.2A.6A$24.2A$24.2A5.2A15.C.C$24.2A5.2A15.2C8.C.C$24.2A5.
2A16.C8.2C$31.2A26.C$24.6A.2A$24.6A.2A6$4.2A$4.2A17$29.2D$29.D.D$31.D
$31.2D5$12.2D$12.D.D$14.D$14.2D11$52.3C$52.C$53.C14$38.2A$37.2A$39.A
7$50.A$49.2A$49.A.A6$54.3A$54.A$55.A!
The other eater looks like it needs 4G, if I'm not mistaken, unless it can be built before the galaxies or the central blockers but that doesn't look too likely. Here are the 3G syntheses that synthesise-const-4G-Python3.py knows about, and none of them have gliders coming just from behind and two the sides of the eater:

Code: Select all

x = 616, y = 317, rule = LifeHistory
609.CBC$608.B2CB$102.BC503.3BC$101.CBCB299.CB104.3B93.4B$102.2C2B298.
B2C99.CB2.2BC2B89.5B$12.C90.4B111.CBC87.4B92.2C3B97.B2C2B2C3B86.D5B$
10.BC2B90.4B90.CBC16.B2CB82.CBC.2BC2B2.BC89.5B96.2C2B.CBC2D86.3D2B$9.
2B3C91.4B89.B2CB14.3BC83.B2C3B2C2B2CB90.7B94.3B2.2BD2B86.2BD2B$6.CBC
4B93.4B89.C3B14.3B84.C2BDCBC.2B2C90.2B2DC2B2.BC91.B4.2B3D86.2D3B$6.B
2C2D2B94.2B2D89.4B15.3B82.2BDBDB2.3B92.BDB2C2B2CB95.C4BD86.5BC$6.BCDB
DB95.3BDBC88.4B13.2C2B83.BDB5.B95.CDC.2B2C94.B2C2B89.5BC$7.BDB96.4BDC
D3B86.4B12.B2CB83.2D103.2D.3B95.CBC93.B3CB$7.2D96.6B3C3B86.4B10.BC2B
193.B193.4B$105.11B2C86.4B8.4B389.3B$105.10B2CB87.4B6.4B390.BCBC$106.
11BC88.5B3.4B390.2B2CB$106.2B.9B89.5B.4B391.3BC$111.6B91.8B392.3B$
113.4B91.2B2D3B394.B$209.BDBD2B$211.BDB$212.2D81$112.BC$17.B93.2CB92.
DC$16.3B91.2B2C92.CDB295.C$16.3BC88.5B92.B3CDB98.C99.C.3B89.2BCB106.C
B$16.2B2CB86.C4B93.3B2D2B95.BC2B3.CBC90.BC5B89.3C2B103.2BCBC$17.BCBC
85.BDC3B93.7B94.2B3C2.B2CB89.2B3C4B89.4BCBC.2B90.CBC3.3B2C$CBC14.3B
86.3C2B93.CBC6B90.CBC5B.3BC87.CBC10B88.2B2D2C5B89.B2CB.B2D3B$B2CB12.
4B85.3D2B94.B2C7B89.B2C2D2B.4B88.B2C2D2B3.B3C88.BDBDC6B89.C5BD2B$.C3B
10.B3CB85.D4B95.C3B2.2B2C88.BCDBDB.4B89.BCDBDB5.C2B90.BDB3.B3C89.2B3D
2C$2.4B8.4BC88.BCBC95.3B3.2CB89.BDB5.B91.BDB8.C92.2D4.C2B91.DB2CB$3.
4B6.4BC88.2B2CB96.B5.BC89.2D98.2D109.C94.2BC$4.4B3.5B90.3BC$5.4B.5B
91.3B$6.8B93.B$7.3B2D2B$7.2BDBDB$8.BDB$8.2D84$110.CBC191.CBC107.C99.B
C98.C$3.CBC103.B2CB94.CBC94.B2CB105.C2B97.2CB97.C2B$3.B2CB7.2D92.3BC
94.B2CB95.C3B103.B3C96.2B2C96.B3C$4.C3B5.BDB93.2B93.4BC4.C92.4B3.2D
96.4B95.C4B96.4B$5.5B.BDBDCB92.2B.C91.4B3.BC2B92.3B2.BDB94.C4B94.BC4B
96.C3B$6.3B.2B2D2CB93.BC2B89.5B2.2B3C94.2BDBDCB91.BC4B94.2B3CB95.BC4B
$7.B.5BCBC92.2B3C90.3BCBC4B95.2B2D2CB90.2B3CB92.CBC5B95.2B3C2B$9.3C2B
92.CBC4B93.2B2C2D2B95.4BCBC87.CBC5B93.B2C2D3B92.CBC4B.B$9.2BCB93.B2C
2D2B93.2BCDBDB95.3C2B90.B2C2D2B94.BCDBDB94.B2C2D2B$10.C95.BCDBDB96.BD
B97.2BCB91.BCDBDB96.BDB96.BCDBDB$107.BDB98.2D99.C94.BDB98.2D98.BDB$
107.2D295.2D199.2D87$420.CBC$419.B2CB$11.CBC404.3BC$10.B2CB92.C6.2D
99.BC89.BC110.4B83.CBC$9.3BC92.2BC4.BDB96.2B2CB88.CBC2B.CBC88.3B12.4B
84.B2CB$10.2B93.3CB.BDBD2B94.4B2C89.2CBDB2CB87.4B11.4B86.C3B3.B$8.C.
2B94.5B2D3C94.2D3B91.B.3DCB86.8B2.2B3.4B87.3B.B.3B$7.2BCB97.5BC2B93.
2BD2B95.2BD2B85.13B.4B88.2B2D3B3C$7.3C2B96.2C3B.C90.BC.3DCB97.2D3B83.
18B90.BDCD2BC2B$8.4BCBC93.B2CB92.CBCBDB2CB97.4B2C81.CBC16B91.B2C2B.C$
8.2B2D2CB93.CB95.2C2B.CBC98.2B2CB81.B2C9B2D4B92.CBCD$9.BDBDCB191.B
107.BC82.C3BCBC3BDBD3B$11.BDB384.4B2C2B.BD3B$12.2D385.4BCB2.2D$400.4B
$402.2B!
I think the third and fourth galaxy recipes can be reduced from 12G to 11G in the same way as the first two, can't they?

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muzik
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Location: Scotland

Re: Synthesising Oscillators

Post by muzik » February 2nd, 2022, 1:56 pm

As another excersize I tried creating the p552 glider relay also from DRH-oscillators. Getting the shuttles and blockers in the correct positions is a trivial task, but getting the glider inside is something I've been failing at for quite a while:

Code: Select all

x = 402, y = 95, rule = B3/S23
247bo$247bobo$247b2o8$348bo$240bo105b2o$240bobo104b2o$240b2o4$301bo39b
o$299bobo38bo$300b2o38b3o2$314bobo$315b2o$315bo5$205bobo$205b2o144bo$
206bo140b2o2bo$8bo330b2o5bo5bo13b2o$9b2o188bobo137b2o4b2o2bobo14b2o$8b
2o190b2o3bo140b2o3bo$200bo4bobo139b3o$205b2o$347b3o$346b2o3bo$15bobo
327b2o2bobo14b2o$16b2o328bo5bo13b2o$16bo330b2o2bo$351bo$393bobo$74bobo
316b2o$74b2o318bo$75bo4$174bo131bo$174b2o130b2o$173bobo129bobo2$194bo
8b2o3b2o134bo8b2o3b2o$190b2o2bo7bo2bobo2bo22bo106b2o2bo7bo2bobo2bo$
182b2o5bo5bo5bo9bo20b2o98b2o5bo5bo5bo9bo$182b2o4b2o2bobo5b2o9b2o19bobo
97b2o4b2o2bobo5b2o9b2o$189b2o3bo6bo9bo127b2o3bo6bo9bo$190b3o9bo2bobo2b
o129b3o9bo2bobo2bo$43b2o158b2o3b2o143b2o3b2o$42bobo4bo140b3o147b3o$44b
o3b2o139b2o3bo45b2o97b2o3bo$48bobo131b2o4b2o2bobo14b2o28b2o91b2o4b2o2b
obo14b2o$182b2o5bo5bo13b2o30bo90b2o5bo5bo13b2o$43bo146b2o2bo145b2o2bo$
43b2o149bo149bo$42bobo6$385bo$384b2o$384bobo2$356b3o40b2o$358bo40bobo$
357bo41bo3$8b2o$7bobo$9bo340b2o$351b2o$350bo7$b2o$obo$2bo!
And putting the glider in before synthesising the second half of the oscillator doesn't seem to be an option:

Code: Select all

x = 214, y = 176, rule = B3/S23
10$195bo$195bobo$195b2o8$146bo$144b2o42bo$145b2o41bobo$188b2o4$7bo131b
o$5bobo130bo$6b2o130b3o2$20bobo$21b2o$21bo5$153bobo$153b2o$154bo2$55bo
bo$56b2o95bo$56bo96bobo$153b2o33$82bo$83bo$81b3o18$145bobo$145b2o$146b
o9$96bo8b2o3b2o$92b2o2bo7bo2bobo2bo$84b2o5bo5bo5bo9bo$84b2o4b2o2bobo5b
2o9b2o$91b2o3bo6bo9bo9bo$92b3o9bo2bobo2bo9bo$105b2o3b2o$92b3o27bo$91b
2o3bo24bobo$84b2o4b2o2bobo14b2o8bobo$84b2o5bo5bo13b2o$92b2o2bo$96bo25b
o$123bo6$137bo$136b2o$136bobo2$108b3o40b2o$110bo40bobo$109bo41bo5$102b
2o$103b2o$102bo10$12bo17bo$12b2o16b2o$11bobo15bobo3$181bo$180b2o$180bo
bo3$7bo$6b2o$6bobo179b2o$187b2o$189bo!
Target oscillator for reference:

Code: Select all

x = 63, y = 56, rule = B3/S23
6$7b2o$7b2o$7b2o26bo$7bo10b2o15b2o8b2o$6bobo9b2o16b2o7b2o$6bob2o21b2o
2b2o2$22bo$7b2o11b5o$7b2o10bo2bob2o5b2o2b2o$18bo7bo9b2o7b2o$19bo2bob2o
9b2o8b2o$20b5o10bo$22bo9$35bobo$36b2o$36bo2$28bo$11b2o15b2o$11b2o16b2o
$24b2o2b2o19b2o$49b2o$49b2o$49bo$24b2o2b2o18bobo$11b2o16b2o7b2o8bob2o$
11b2o15b2o8b2o$28bo$49b2o$49b2o!
All of this probably allows for the construction of higher-period shuttles, but not the p552 version.

EDIT: Indeed, this allows for the construction of the following p2024 shuttle (I've included extra, redundant gliders to discourage Catagolue from erroneously separating components - if this goes through I'll attempt to remove them):

Code: Select all

x = 431, y = 259, rule = B3/S23
35$373bo$373bobo$373b2o8$324bo$322b2o42bo$323b2o41bobo$366b2o4$185bo
131bo35bo$183bobo130bo35bo$184b2o130b3o33b3o$283bo$198bobo80bobo10bobo
$199b2o81b2o10b2o$199bo95bo5$331bobo$331b2o$332bo19b2o$351b2o$233bobo
117bo$234b2o95bo$234bo26bo69bobo$248bobo10bobo67b2o$249b2o10b2o$249bo
13$214bo$212bobo10bobo$213b2o10b2o$226bo61$306bo$307bo$305b3o7$34bo$
35b2o$34b2o$377bobo$377b2o$378bo2$41bobo$42b2o$42bo3$100bobo$100b2o$
101bo4$190bo17bo$190b2o16b2o$189bobo15bobo2$320bo8b2o3b2o$316b2o2bo7bo
2bobo2bo22bo$308b2o5bo5bo5bo9bo20b2o$308b2o4b2o2bobo5b2o9b2o19bobo$
315b2o3bo6bo9bo$316b3o9bo2bobo2bo$69b2o258b2o3b2o$68bobo4bo240b3o$70bo
3b2o239b2o3bo45b2o$74bobo231b2o4b2o2bobo14b2o28b2o$308b2o5bo5bo13b2o
30bo$69bo246b2o2bo$69b2o249bo$68bobo14$369bo$34b2o332b2o$33bobo332bobo
$35bo$324b3o56b2o$326bo56bobo$325bo57bo5$318b2o$27b2o290b2o$26bobo289b
o$28bo!

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muzik
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Re: Synthesising Oscillators

Post by muzik » February 2nd, 2022, 4:36 pm

And just like that, we now have a synthesised p856 on Catagolue:
https://catagolue.hatsya.com/object/xp8 ... 354c/b3s23

I managed to cut off four gliders via use of the 3G eater synth, and will investigate the galaxy reduction soon.

EDIT: It seems that kickbacks might still be necessary to build the galaxies, since from what I can see the existing galaxies would interfere with at least one glider:

Code: Select all

x = 104, y = 152, rule = LifeHistory
38.A$36.A.A$37.2A2$34.A$32.A.A$33.2A30.A$64.A$64.3A13$25.A$26.2A16.A$
25.2A15.2A$43.2A2$40.A$41.A$39.3A$44.A3$37.A$37.2A$36.A.A$62.2A$61.2A
$63.A$64.D$65.D$66.D$67.D$68.D$69.D$70.D$71.D$72.D$73.D$74.D$75.D$22.
3A51.D16.2D$24.A52.D15.2D$23.A30.2A22.D14.2D$54.A.A22.D13.2D$54.A25.D
12.2D$81.D$50.2A30.D$50.A.A30.D9.2D$50.A33.D8.2D$85.D$86.D$87.D$88.D$
89.D$90.D4.2A.6A$91.D3.2A.6A$95.2A$95.2A5.2A$95.2A5.2A$95.2A5.2A$102.
2A$95.6A.2A$95.6A.2A7$3.2A$3.A$2.2A2.3A$2.A3.A.3A$2.2A.A4.A$4.A.A$A4.
A.2A$3A.A3.A$2.3A2.2A$7.A$6.2A6$55.A$53.A.A$54.2A2$51.A$49.A.A$50.2A
28.A$79.A$79.3A13$42.A$43.2A$42.2A22.A.A$66.2A$67.A3$60.A$63.3A$63.A$
64.A2$60.2A15.2A$61.2A13.2A$60.A17.A13$39.3A$41.A$40.A28.2A$69.A.A$
69.A2$65.2A$65.A.A$65.A!

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muzik
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Location: Scotland

Re: Synthesising Oscillators

Post by muzik » February 2nd, 2022, 9:59 pm

With the aforementioned optimisations, this should now be 104G:

Code: Select all

x = 1356, y = 214, rule = B3/S23
582bobo$583b2o$583bo5$338bo251bo$336bobo223bo25bobo$337b2o224b2o24b2o$
562b2o213bo$334bo440b2o$332bobo441b2o$333b2o78bo153bo$412bo155b2o$412b
3o152b2o5$753bobo$753b2o$754bo4$746bo$746bobo$325bo420b2o520bo$326b2o
64bo876b2o$325b2o63b2o810bo65b2o$391b2o810bo$920bobo278b3o147bo$340bo
421bobo156b2o428bobo$341bo420b2o157bo396bo32b2o$339b3o421bo554bobo$
1318b2o$1345bo$1206bobo58bo75b2o$755bo451b2o59b2o74b2o$755bobo449bo59b
2o$755b2o3$1265bo$1265bobo$1265b2o$1218bo$1219b2o$1218b2o114bobo$1007b
o326b2o$1006bo44bo283bo$1006b3o40b2o$1050b2o$669b2o298b2o298b2o$668b4o
296b4o296b4o$664bob2ob2obo291bob2ob2obo291bob2ob2obo$663bo2b2o295bo2b
2o295bo2b2o$662b3o2b2o2b2o289b3o2b2o2b2o289b3o2b2o2b2o$662b3o2bob4o
289b3o2bob4o289b3o2bob4o$85bo577bo2bo3bo2bo289bo2bo3bo2bo289bo2bo3bo2b
o$86bo577b4obo2b3o289b4obo2b3o289b4obo2b3o$84b3o577b2o2b2o2b3o289b2o2b
2o2b3o289b2o2b2o2b3o$147bo236bo284b2o2bo295b2o2bo230bo64b2o2bo$145b2o
238b2o277bob2ob2obo291bob2ob2obo232bo58bob2ob2obo$146b2o236b2o279b4o
296b4o234b3o59b4o$666b2o298b2o298b2o$409bo$408bo$408b3o2$163bo$163bobo
$163b2o2$167bo$167bobo$167b2o3$1216bo$1217b2o$929bobo284b2o$930b2o346b
2o$930bo347b2o$926bo$927bo$337bo587b3o$337b2o$336bobo$117bo$118b2o$
117b2o$8bo116bo$9bo115bobo$7b3o115b2o292b2ob6o291b2ob6o291b2ob6o291b2o
b6o$36bo382b2ob6o291b2ob6o291b2ob6o291b2ob6o9b3o$34b2o383b2o298b2o298b
2o298b2o16bo$35b2o93bo288b2o5b2o291b2o5b2o254b2o35b2o5b2o254b2o35b2o5b
2o10bo4bobo$129b2o288b2o5b2o291b2o5b2o243b2o2bo6bo2bo33b2o5b2o243b2o2b
o6bo2bo33b2o5b2o15b2o8bobo$129bobo287b2o5b2o291b2o5b2o239b2o2b2o3bo42b
2o5b2o239b2o2b2o3bo42b2o5b2o16bo8b2o$426b2o298b2o239b2o7bo5bo2bo40b2o
239b2o7bo5bo2bo40b2o26bo$355bo63b6ob2o291b6ob2o244b4o5bo2bo34b6ob2o
244b4o5bo2bo34b6ob2o$353bobo63b6ob2o291b6ob2o253bobo35b6ob2o253bobo35b
6ob2o$52bo301b2o626bo269b2o28bo$52bobo267b3o927b2o$52b2o270bo26bo630b
2o298b2o$323bo25bobo50b2o565b2o11b2o285b2o11b2o$56bo293b2o50bobo23bo
540bo2bo296bo2bo$56bobo343bo24bo871b2o$56b2o269b2o98b3o197b2o298b2o40b
o2bo254b2o40bo2bo26b2o$327bo70b2o227bo299bo40bo2bo255bo40bo2bo$326b2o
2b3o65bobo225b2o2b3o293b2o2b3o35bobo9b2o2bo241b2o2b3o35bobo9b2o2bo$
326bo3bob3o63bo227bo3bob3o291bo3bob3o34bo6b2o2b2o3bo212bo27bo3bob3o34b
o6b2o2b2o3bo$326b2obo4bo291b2obo4bo291b2obo4bo41b2o7bo212b2o8bo17b2obo
4bo41b2o7bo$22bobo303bobo297bobo297bobo38b2o10b4o212bobo8b2o18bobo38b
2o10b4o$23b2o299bo4bob2o291bo4bob2o291bo4bob2o36b2o236bobo4bo9bo4bob2o
36b2o$23bo300b3obo3bo291b3obo3bo291b3obo3bo282bo8b3obo3bo$27b2o297b3o
2b2o293b3o2b2o293b3o2b2o280b3o10b3o2b2o$26bobo302bo299bo299bo299bo$b2o
25bo301b2o298b2o298b2o298b2o$obo30b2o43b2o$2bo29b2o43bobo$34bo44bo$5b
2o$4bobo75b2o$6bo74bobo329bobo$83bo329b2o$414bo861bo$1275bobo$1275bobo
$1271b2o3bo$22b2o1246bo2bo$23b2o74b2o1169bo2bo$22bo77b2o1169b2o$49b3o
47bo$49bo110b3o$50bo109bo870b2o$161bo869bobo$1031bo5$343b3o$345bo$344b
o2$366b2o$365b2o980b3o$367bo313bobo2bo294bobo2bo294bobo2bo60bo$681b3ob
ob2o292b3obob2o292b3obob2o59bo$680bo6bo292bo6bo292bo6bo$681bo5b2o292bo
5b2o292bo5b2o2$680b2o5bo292b2o5bo292b2o5bo$681bo6bo292bo6bo292bo6bo$
680b2obob3o292b2obob3o292b2obob3o$682bo2bobo294bo2bobo294bo2bobo3$901b
2o$902b2o40b3o$901bo44bo270bo$945bo271b2o$1216bobo114b2o$1332b2o$1334b
o$1286b2o$1285bobo$1287bo4$743b2o539b2o59bo$742b2o463b2o74b2o59b2o$
744bo463b2o75bo58bobo$1021b3o183bo$410b3o608bo211b2o$410bo611bo209bobo
$411bo788b2o32bo$1199bobo$361b2o838bo147b3o$362b2o61b2o165b2o755bo$
361bo62b2o167b2o688b2o65bo$426bo165bo689b2o$1284bo$752b2o$587b2o162b2o
$588b2o163bo$587bo6$601b2o$602b2o$339b3o259bo$341bo$340bo76b2o366b2o$
417bobo156b2o18b2o186b2o$417bo159b2o18b2o187bo$576bo19bo$413b2o346b2o$
413bobo345bobo26b2o$413bo347bo27b2o$791bo4$768bo$767b2o$767bobo!

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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » February 2nd, 2022, 10:52 pm

muzik wrote:
February 2nd, 2022, 9:59 pm
With the aforementioned optimisations, this should now be 104G...
I wondered if there were other ways of building the galaxies -- and of course there are. Lots of them. So far I've only found more-expensive-than-11G ways,

Code: Select all

x = 177, y = 45, rule = B3/S23
obo$b2o$bo8$84bo$28bo53bobo$22b2o2b2o55b2o2b2o80bo$22bobo2b2o57bobo81b
o$23b2o61b2o80b3o2$90bo84b2o$22b2o65bobo82bobo$21bo2bo63bobo77b2o4bo$
22bobo57bo5b2o77bobo3b2o$23bo57bobo80bo3bo$81bobo79bobo$82bo3bo76bobo$
85bobo76bo3bo$9bo75bobo79bobo$8bobo68b2o5bo80bobo$8bo2bo66bobo83bo3bo$
9b2o66bobo78b2o3bobo$78bo79bo4b2o$156bobo$8b2o71b2o73b2o$4b2o2bobo69bo
bo$5b2o2b2o69b2o2b2o76b3o$4bo79bobo75bo$84bo78bo8$31bo$30b2o$30bobo!
and ways that don't actually work and/or are too expensive anyway:

Code: Select all

x = 67, y = 25, rule = B3/S23
51bo$b2o49bo$o2bo46b3o$b2o16bo$17bobo$bo16b2o42bo$b2o47bobo9bobo$obo
14bo26bo5b2o10b2o$5b3o5bo2b2o26bobo4bo4bo$11bobo2bobo25b2o8bobo$12b2o
41b2o6bo$64bo$46b3o13b3o$46bo$7b2o38bo6b2o$2bobo2bobo44bobo8b2o$3b2o2b
o5b3o38bo4bo4bobo$3bo14bobo26b2o10b2o5bo$18b2o26bobo9bobo$b2o16bo28bo$
bobo$bo16b2o$17bo2bo37b3o$18b2o38bo$59bo!
But I only looked at the fifth line of C2_1 soups in Catagolue, third line from the bottom, and I could easily have missed a trick even among those. Seems like there ought to be something out there that makes two 180-degree-rotated things with 5G each and mashes them together.

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Re: Synthesising Oscillators

Post by dvgrn » February 3rd, 2022, 8:00 am

muzik wrote:
February 2nd, 2022, 1:56 pm
As another excersize I tried creating the p552 glider relay also from DRH-oscillators. Getting the shuttles and blockers in the correct positions is a trivial task, but getting the glider inside is something I've been failing at for quite a while...
Here's a possible solution if you're desperate enough. There's probably something a little cheaper hiding in the categorized one-time turners from the octohash database, but this is a workable option partly borrowed from the 1G seed project for Raucci's p217. Luckily the longboatnboat constellation can be built before the shuttles, and even the boat in the boatnship combo could be constructed ahead of time with a slightly more expensive recipe for the second shuttle. There should be plenty of room to drop the ship in toward the end.

So this is not a complete synthesis, but it's a decent blueprint:

Code: Select all

x = 523, y = 95, rule = LifeHistory
247.C$247.C.C$247.2C8$348.C$240.C105.2C$240.C.C104.2C$240.2C4$301.C
39.C$299.C.C38.C$300.2C38.3C2$314.C.C$315.2C$315.C5$205.C.C270.2A$
205.2C144.C124.A2.A21.A$206.C140.2C2.C145.2A2.A$8.C330.2C5.C5.C13.2C
108.A2.A9.2A5.A5.A13.2A$9.2C188.C.C137.2C4.2C2.C.C14.2C109.A2.A8.2A4.
2A2.A.A14.2A$8.2C190.2C3.C140.2C3.C126.A.A15.2A3.A$200.C4.C.C139.3C
129.A17.3A$205.2C$347.3C128.2A17.3A$346.2C3.C126.2A16.2A3.A$15.C.C
327.2C2.C.C14.2C127.2A2.A.A14.2A$16.2C328.C5.C13.2C128.A5.A13.2A$16.C
330.2C2.C145.2A2.A$351.C149.A$393.C.C$34.A39.C.C107.D149.A58.2C89.A$
33.A.A38.2C107.D.D147.A.A58.C88.A.A$34.2A7.2A30.C108.2D7.2A139.2A7.2A
139.2A7.2A$42.A.A147.A.A147.A.A147.A.A$38.2A3.A144.2A3.A144.2A3.A144.
2A3.A$38.A.A147.A.A147.A.A147.A.A$39.A.A132.C14.A.A114.C32.A.A147.A.A
$25.2D13.A133.2CD13.A115.2C17.2A13.A134.2A13.A$25.D.D145.C.C.D127.C.C
17.A.A147.A.A$26.2D148.2D148.2A148.2A$194.C8.2C3.2C134.C8.2C3.2C134.A
15.A$190.2C2.C7.C2.C.C2.C22.C106.2C2.C7.C2.C.C2.C129.2A2.A14.A$182.2C
5.C5.C5.C9.C20.2C98.2A5.C5.C5.C9.C120.2A5.A5.A18.A$182.2C4.2C2.C.C5.
2C9.2C19.C.C97.2A4.2C2.C.C5.2C9.2C100.A18.2A4.2A2.A.A18.2A$189.2C3.C
6.C9.C127.2C3.C6.C9.C101.2A24.2A3.A13.A5.A5.2A$190.3C9.C2.C.C2.C129.
3C9.C2.C.C2.C101.A.A25.3A16.A3.A4.A2.A$43.2C158.2C3.2C143.2C3.2C151.A
$42.C.C4.C140.3C147.3C147.3A25.A2.A$44.C3.2C139.2C3.C45.2C97.2C3.C
144.2A3.A24.A2.A$48.C.C131.2C4.2C2.C.C14.2C28.2C91.2C4.2C2.C.C14.2C
121.2A4.2A2.A.A14.2A9.A.A$182.2C5.C5.C13.2C30.C90.2C5.C5.C13.2C121.2A
5.A5.A13.2A10.A$43.C146.2C2.C145.2C2.C145.2A2.A$43.2C149.C149.C149.A
25.2A$42.C.C475.2A6$385.C$384.2C$384.C.C2$356.3C40.2C$358.C40.C.C$
357.C41.C3$8.2C$7.C.C$9.C340.2C$351.2C$350.C7$.2C$C.C$2.C!
Also, here are some alternate pieces of 11G two-stage recipe for the galaxy, but while they have different problems from before, I think there's still an inevitable conflict with existing galaxies. Have you tried building all four galaxies simultaneously, though? I haven't dared look at that option with this new recipe.

Code: Select all

x = 55, y = 89, rule = LifeHistory
35.3B$20.4B.3B2D.C8B$19.8BD2BDB2C7B$19.9B2DB2C9B$19.22B$18.7B2D13B$
17.4B3.D2BD2B2C8B$16.4B5.2D.3B2C4.2B$15.4B11.CB$14.3CB$14.2BC$15.C29$
19.A$20.A$18.3A3$25.A.A$25.2A$26.A3$15.A$13.A.A$14.2A4$52.A.A$52.2A$
53.A3$28.2A$27.A2.A$28.2A$27.D$25.2A$24.A2.A$25.2A3$.A$.2A$A.A4$39.2A
$39.A.A$39.A3$28.A$28.2A$27.A.A3$34.3A$34.A$35.A!
EDIT: Aha, this just turned up in the s2g.col database, which I probably don't check often enough. There was exactly one result, just like the single result from 3g.col shown in the previous pattern. This must allow for some kind of clever workaround, no? (Again, haven't dared to look.)

Code: Select all

x = 17, y = 31, rule = B3/S23
11bobo$11b2o$bo10bo$2b2o$b2o4$b2o$o2bo$o2bo$b2o$10bo$9bobo$9bobo$6bo3b
o$5bobo$5bobo$6bo$14b2o$13bo2bo$13bo2bo$14b2o4$14b2o$13b2o$4bo10bo$4b
2o$3bobo!
There don't seem to be any lucky combinations of constellations, unfortunately -- the two possible hivenpond have known recipes but they're 4G, so that's worse than building the two beehives and then adding ponds. But at least there are several possible 2G ways to build the two ponds and still keep an 11G cost.

cvojan
Posts: 373
Joined: October 7th, 2018, 7:07 pm
Location: Feel free to delete

Re: Synthesising Oscillators

Post by cvojan » February 5th, 2022, 11:58 pm

48P6 final step:

Code: Select all

x = 31, y = 30, rule = B3/S23
20bo$20bobo$20b2o6$2bo11bobo$obo12b2o$b2o12bo3b2o$19b2o8bo$10b2o16b2o$
10b2o16bobo5$10b2o4bo$9bo2bo2bobo$8bobobo2bo2bo$7bobobo4b2obo$7bobo7bo
bo$6b2obo2bo2bobob2o$8bob7obo$8bo9bo$9b9o$11bo$14b2o$14b2o!

hotdogPi
Posts: 1613
Joined: August 12th, 2020, 8:22 pm

Re: Synthesising Oscillators

Post by hotdogPi » February 18th, 2022, 3:18 pm

Here are some high-period oscillators that I've found relatively recently, although none are brand new. None have been synthesized yet. Are they easily synthesizable?

Code: Select all

x = 295, y = 109, rule = B3/S23
40b3ob2o119bob3o$42bobobo71b3o2b2o38bobobobo39bob3o2b2o$40b2o2b3o71bob
obobo38bobobobo39bo3bobobo$42bobobo71b3obobo38bobobobo39bob3obobo50bob
3obobo$40b3ob3o73bobobo38bobobobo39bobo3bobo50bobo3bobo$118b3ob2o39bob
ob3o39bob3ob2o51bob3ob3o$268bo3bo3bo$268bob3o3bo$268bo13$37bo22bo$35b
3o22b3o$34bo28bo$34b2o26b2o2$40b3o12b3o108bo3bo46b2o$40b3o12b3o106b3o
3b3o44bo2bo$39bo3bo10bo3bo104bo9bo$28b3o7bo2b2o12b2o2bo7b3o93b2o7b2o
47bo48b2o16b2o$32b2o5b4o12b4o5b2o112b2o82b2o5bob2o2b2o3b2o5bob2o2b2o$
32b2o6bo16bo6b2o94b3o12bo43b2o41b2o5bobo3b2o3b2o5bobo3b2o$31bobo30bobo
92bo3bo11bo4bo37bo50bo17bo$158bo14b2o6bo85bo17bo$50bo107bo12bo2b2obo$
50bo107bo3b2o6bo4bo4bo34b2o3b2o45bo17bo$160b2o9bobo2bo2bo35b2o3b2o47bo
17bo$40b2o4bo79b2o3bo2bo3b2o37b2o37b5o41b2o5bobo3b2o3b2o5bobo3b2o$40b
2o4b3o77b5o4b5o34b3o40bobo42b2o5bob2o2b2o3b2o5bob2o2b2o$47bo61b2o3bo2b
o3b2o3b2o3bo2bo3b2o130b2o16b2o$109b5o4b5o50b3o41b3o9b2o$109b2o3bo2bo3b
2o48b2o55b3o$102b3o57b2o6bo2bo2bobo46bob2o9b2o$102b3o55b2o3bo3bo4bo4bo
45bo2bo4bo5bo36bo$52bo50bo25bo10b3o22bo6bob2o2bo46bob2o5bo$51b3o4b2o
43bo25b2o9b3o22bo2bo6b2o51b3o3bo3bo37bo$53bo4b2o43bo25b2o10bo18bo3bo4b
o4bo54b2o5bo$102bobo36bo19b3o10bo$49bo91bo28b2o$49bo77bo12bobo16b2o15b
2o96b2o$102bobo22b2o31bo15bo95bo2bo$33bobo30bobo34bo6b2o14bo2bo27b3o
17b3o92bo2bo$34b2o6bo16bo6b2o35bo5b3o4b2o9bobo10bobo14bo21bo92b3o$34b
2o5b4o12b4o5b2o35bo11bo2bo8b2o12bo$30b3o7bo2b2o12b2o2bo7b3o30b3o9b2ob
2o22bo28b2o46b2o62b3o$41bo3bo10bo3bo41b3o11bo24bo26bo2bo45bobo61bo2bo$
42b3o12b3o80b3o25b3o46bo63bo2bo$42b3o12b3o80b3o26bo47bobo61b2o$218b2o$
36b2o26b2o38b3o85b2o3bo2bo3b2o$36bo28bo38b3o85b5o4b5o$37b3o22b3o40bo
24bo11b3o47b2o3bo2bo3b2o74bo$39bo22bo42bo22b2ob2o9b3o85b2o$105bo12b2o
8bo2bo11bo88bo47bo$104bobo10bobo9b2o4b3o5bo85bo$9bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo25bo2bo
14b2o6bo86b2o$118b2o22bobo24bo$104bobo12bo48b3o96b2o16b2o$105bo62bo2bo
90b2o2b2obo5b2o3b2o2b2obo5b2o$49b2o54bo36bobo25b2o31b2o57b2o3bobo5b2o
3b2o3bobo5b2o$48bobo54bo10b2o25bo61bo63bo17bo$48bo55b3o9b2o25bo13bo21b
o22bo68bo17bo$47b2o55b3o10bo25bo13b3o17b3o23b2o$142b3o15bo15bo52b2o3bo
2bo3b2o28bo17bo$47b4o91b3o14b2o15b2o51b5o4b5o26bo17bo$42b3o2bo2bo73b2o
3bo2bo3b2o32b2o57b2o3bo2bo3b2o19b2o3bobo5b2o3b2o3bobo5b2o$41bo3bo3bo
74b5o4b5o23b3o10bo40b2o45b2o2b2obo5b2o3b2o2b2obo5b2o$40bo5bo3b3o54b2o
3bo2bo3b2o3b2o3bo2bo3b2o22bo3bo4bo4bo40bobo49b2o16b2o$40bo5bo5bo54b5o
4b5o44bo2bo6b2o40bo$11bo12bo15bo5bo14bo22bo22b2o3bo2bo3b2o44bo6bob2o2b
o36bobo$8b2o2bo10bo2b2o13bo3bo13b3o22b3o73b2o3bo3bo4bo4bo35b2o$bo6b3o
14b3o6bo7b3o13bo7b2o10b2o7bo74b2o6bo2bo2bobo$bo13bo4bo13bo23b2o26b2o
83b2o$3o7b2ob2obo2bob2ob2o7b3o30bo12bo93b3o$8b5obobo2bobob5o42bo4bo$8b
3obo3bo2bo3bob3o35b3obo3bo2bo3bob3o91b3o$15bo4bo42b5obobo2bobob5o94b2o
$11bo12bo30b3o7b2ob2obo2bob2ob2o7b3o69b2o9bobo2bo2bo$3b2o26b2o23bo13bo
4bo13bo68bo3b2o6bo4bo4bo17bo5b2o$3bo7b2o10b2o7bo13b3o7bo6b3o14b3o6bo
68bo12bo2b2obo18bo3bo3b3o$4b3o22b3o13bo3bo13b2o2bo10bo2b2o75bo14b2o6bo
18bo5b2obo$6bo22bo14bo5bo15bo12bo79bo3bo11bo4bo14bo5bo4bo2bo$38bo5bo5b
o109b3o12bo19b2o9b2obo$38b3o3bo5bo127b2o24b3o$41bo3bo3bo113b2o7b2o30b
2o9b3o$40bo2bo2b3o114bo9bo$40b4o120b3o3b3o42bobo$166bo3bo43b5o$42b2o
169b2o3b2o$42bo170b2o3b2o$40bobo$40b2o$216bo$214b2o2$213bo2$214bo2bo$
216b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

User avatar
Ian07
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Location: New Jersey, US

Re: Synthesising Oscillators

Post by Ian07 » February 19th, 2022, 6:08 pm

Period-doubled p143 Bandersnatch loop in 58G:

Code: Select all

x = 1113, y = 72, rule = B3/S23
497bo$498bo$496b3o8bo$505b2o$506b2o$851bo$852bo$750bo99b3o$638bo110bob
o116bo$637bobo109bobo102bobo10bobo$494bobo11bo128bobo108b2ob3o100b2o
11bobo$495b2o9bobo127b2ob3o112bo100bo10b2ob3o$495bo11b2o133bo105b2ob3o
118bo$636b2ob3o106b2obo114b2ob3o$503b2o131b2obo204bo21b2obo$502b2o5b2o
333b2o$5bo359bo138bo3b2o333bobo221bo$5bobo358bo123bo19bo227bo327bobo$
5b2o357b3o122bobo134bo110bobo116bo200b2o7bobo$489bo2bo132bobo109bo2bo
114bobo199b2o6b2ob3o$367bo111b2o9b2o133bo2bo98b2o9b2o115bo2bo191b2o19b
o$o360bobo2bo112b2o134b2o9b2o99b2o28bo87b2o9b2o192b2o13b2ob3o$obo227b
2o130b2o2b3o246b2o30bobo107b3o85b2o28bo189b2obo$2o228b2o130bo112bo171b
2o74bo36bo114b3o$109b2o239b2o123b3o23b2o108bo36bo74b3o23b2o8b2o80bo36b
o$109b2o21bo93bo123b2o126bo22b2o108b3o23b2o87bo22b2o90b3o23b2o8b2o$
132bobo91b3o23b2o223b2o135bo22b2o10b3o73b2o117bo22b2o186bo$105bo26b2o
95bo22b2o92bo160b2o104b2o34bo105b2o5bobo78b2o35b2o172bobo$105b3o120b2o
27bo88b3o23b2o133b2o134b2o5bo104b2o5b2o109b2o4bobo172bo2bo$108bo147bo
92bo22b2o269b2o118bo4bo104b2o4b2o163b2o9b2o$107b2o147b3o89b2o417bo276b
2o28bo$262bo115b2o127b2o246b2o6b2o2b3o304b3o$133b2o127bobo113b2o107b2o
18b2o134b2o90b2o18b2o6bobo107b2o165bo36bo$129bo3bobo126b2o222bobo134b
2o18b2o89bobo26bo89b2o18b2o165b3o23b2o8b2o$130bo2bo104b2o18b3o226bo
134bobo110bo116bobo188bo22b2o$128b3o106bobo18bo119b2o122bo120bo126bo
102bo188b2o35b2o$238bo20bo98b2o18b2o121bobo134bo83bo26bobo116bo139bo
63b2o4bobo$232bo20bo103bobo121b2o18b2o134bobo80bobo6b2o18b2o116bobo
139bo2bobo57b2o4b2o$233bo18bobo103bo122b2o134b2o18b2o77b3o2b2o6b2o116b
2o18b2o138b3o2b2o$231b3o18b2o119bo243b2o99bo128b2o164bo$228b2o142bobo
342bo4bo349b2o$227bobo122b2o18b2o107b2o239b2o5b2o321b2o18b2o$119b3o
107bo122b2o127b2o134b2o102bobo5b2o110b2o4b2o202bobo54bo$116bo2bo113b3o
275b2o98bo5b2o140b2o79bobo4b2o161b3o39bo56bo$114bobo3bo114bo251b2o22bo
100bo34b2o86b2o22bo80b2o35b2o131bo56bo39b3o$115b2o117bo27b2o88b2o133b
2o23b3o95b3o10b2o22bo77b2o8b2o23b3o90b2o22bo133bo54bobo$238b2o22bo89b
2o160bo108b2o23b3o74bo36bo80b2o8b2o23b3o165b2o18b2o$141b2o95b2o23b3o
116b2o229bo36bo75b3o114bo36bo165b2o$141bo123bo92b2o22bo126b2o102b2o
113bo28b2o85b3o259bo$142b3o213b2o23b3o112b2o9b2o101bobo30b2o99b2o9b2o
87bo28b2o229b2o2b3o$3bo112b2o26bo115b2o123bo111bo2bo133b2o9b2o98bo2bo
115b2o9b2o163b2o4b2o57bobo2bo$2b2o111bobo142b2o236bobo132bo2bo109bobo
114bo2bo172bobo4b2o63bo$2bobo112bo21b2o239b2o97bo19bo134bobo110bo116bo
bo172b2o35b2o$139b2o239b2o98b2o3bo149bo229bo186b2o22bo$21b2o346bo109b
2o5b2o554b2o8b2o23b3o$21bo341b3o2b2o115b2o389bobo163bo36bo$22b3o340bo
2bobo363bob2o138b2o165b3o$24bo339bo116b2o11bo127bob2o106b3ob2o114bob2o
21bo167bo28b2o$481bobo9b2o125b3ob2o105bo118b3ob2o207b2o9b2o$19b2o344b
3o113bo11bobo123bo112b3ob2o111bo212bo2bo$19b2o344bo254b3ob2o108bobo
113b3ob2o10bo196bobo$366bo255bobo109bobo115bobo11b2o196bo$622bobo110bo
116bobo10bobo$623bo229bo$869b3o$482b2o385bo181bob2o$483b2o385bo178b3ob
2o13b2o$482bo8b3o554bo19b2o$491bo557b3ob2o6b2o$492bo558bobo7b2o$1051bo
bo$1052bo!

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calcyman
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Re: Synthesising Oscillators

Post by calcyman » February 19th, 2022, 7:38 pm

Ian07 wrote:
February 19th, 2022, 6:08 pm
Period-doubled p143 Bandersnatch loop in 58G:
Boxed, along with an antiphased variant: https://catagolue.hatsya.com/census/b3s ... osts/xp286
What do you do with ill crystallographers? Take them to the mono-clinic!

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dvgrn
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Re: Synthesising Oscillators

Post by dvgrn » February 19th, 2022, 11:00 pm

calcyman wrote:
February 19th, 2022, 7:38 pm
Ian07 wrote:
February 19th, 2022, 6:08 pm
Period-doubled p143 Bandersnatch loop in 58G:
Boxed, along with an antiphased variant: https://catagolue.hatsya.com/census/b3s ... osts/xp286
Bah, but you used a whole extra glider to shoot down one of the blocks to get the antiphased variant. That's simply not properly modern and civilized -- or do I mean "civilised"? Just not cricket, as we say in the U.S. in spite of having absolutely no idea how to play cricket.

Code: Select all

x = 468, y = 174, rule = B3/S23
358bo$359bo$357b3o58$31bo$31bobo$31b2o2$30bo$31bo3bo$29b3ob2o139b2o
237b2o$16b2o16b2o119b2o16bobo218b2o16bobo$17bo138bo16b2o220bo16b2o$17b
obo18b2o116bobo18b2o216bobo18b2o$18b2o18bobo104bobo9b2o18bobo216b2o18b
obo$13b2o25bo104b2o5b2o25bo211b2o25bo$13b2o25b2o104bo5b2o25b2o210b2o
25b2o$30b2o2b2o133b2o2b2o233b2o2b2o$30b2o2b2o133b2o2b2o233b2o2b2o$51bo
138bo238bo$50bobo85bo50bobo236bobo$50bobo86bo49bobo190b2o44bobo$26bo
22b2ob3o82b3o25bo22b2ob3o188b2o20bo22b2ob3o$25bobo9b2o16bo85bo22bobo9b
2o16bo208bobo9b2o16bo$25b2o10b2o10b2ob3o86b2o21b2o10b2o10b2ob3o209b2o
10b2o10b2ob3o$11b2o36b2obo87bobo7b2o36b2obo197b2o36b2obo$10bo2bo135bo
2bo235bo2bo$11bobo136bobo236bobo60bobo$12bo138bo212bo15b2o8bo61b2o$
365bo14b2o71bo$363b3o$446b3o$358bo71b2o14bo$43bo138bo175b2o61bo8b2o15b
o$42bobo136bobo173bobo60bobo$42bo2bo135bo2bo235bo2bo$3bob2o36b2o97bob
2o36b2o7bobo187bob2o36b2o$b3ob2o10b2o10b2o109b3ob2o10b2o10b2o21b2o186b
3ob2o10b2o10b2o$o16b2o9bobo108bo16b2o9bobo22bo185bo16b2o9bobo$b3ob2o
22bo110b3ob2o22bo25b3o182b3ob2o22bo20b2o$3bobo136bobo49bo186bobo44b2o$
3bobo136bobo50bo185bobo$4bo138bo238bo$20b2o2b2o133b2o2b2o233b2o2b2o$
20b2o2b2o133b2o2b2o233b2o2b2o$14b2o25b2o110b2o25b2o5bo204b2o25b2o$15bo
25b2o111bo25b2o5b2o204bo25b2o$15bobo18b2o116bobo18b2o9bobo204bobo18b2o
$16b2o18bobo116b2o18bobo216b2o18bobo$38bo138bo238bo$38b2o137b2o237b2o
62$336bo129bo$336b2o127b2o$335bobo127bobo$340b3o109b3o$342bo109bo$341b
o111bo!
(I went through all the likely shipnblock placements and found only 4G recipes. Was working through shipnbeehive and got a lucky recipe, but it was really probably more likely that a shipnblinker would have worked, so there's probably an alternate recipe or two out there.)

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muzik
Posts: 5647
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Synthesising Oscillators

Post by muzik » February 21st, 2022, 7:47 am

mniemiec wrote:
January 31st, 2022, 11:36 pm
Here is my list of all the pentadecathlon pairs: https://conwaylife.com/ref/mniemiec/p15.htm#p15-pc. All can be trivially synthesized from 6-8 gliders, except one difficult one that Buckingham was able to synthesize from 14 (https://catagolue.appspot.com/object/xp ... 88ss/b3s23) although Catalogue now reports a 10 glider synthesis.
I've used this information to create a dedicated wiki page for pentadecathlon pairs, which should hopefully be easier for the community to maintain and keep up to date:
https://conwaylife.com/wiki/Polypentadecathlon

This should make all of the different variants as well as their costs and syntheses available at a glance. Currently I haven't listed the three pseudo-pairs, but a dedicated section for these will happen at some point. I also plan on creating some better images for the remaining pairs which are more consistent with the first five (visually, as well as in file size).

One very important thing to note is that through experimentation and looking through existing soup search results, I came across a total of five more non-trivially interacting pentadecathlon pairs that aren't listed on your site (refer to the entries with N/A in the Niemiec column). I've submitted syntheses to Catagolue for some - the rest should probably be trivial. The interactions between these definitely seem to be deeper than many of the others, with some only being valid pairs due to sheer luck.

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Ian07
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Re: Synthesising Oscillators

Post by Ian07 » February 21st, 2022, 12:08 pm

For future reference, here are some things I had to look for myself in order to complete my recent oscillator syntheses:

LWSS + boat = glider, found manually using Seeds of Destruction. Definitely known already, but not in Niemiec's database for some reason. Used in the p143*2 Bandersnatch loop.

Code: Select all

x = 11, y = 6, rule = B3/S23
o2bo$4bo$o3bo$b4o4b2o$8bobo$9bo!
Edgy 5G blocker, taken from a Glider_stdin soup. Used in this p24 honey farm hassler.

Code: Select all

x = 14, y = 14, rule = B3/S23
10bobo$2bo8b2o$obo8bo$b2o2$7bobo$8b2o$8bo3$5b3o$7bo4bo$6bo5b2o$11bobo!

GUYTU6J
Posts: 2200
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Re: Synthesising Oscillators

Post by GUYTU6J » March 29th, 2022, 7:56 am

p16 traffic light hassler in 20G

Code: Select all

x = 75, y = 78, rule = B3/S23
10bo$11b2o$10b2o$61bobo$61b2o$62bo2$16bo$14bobo$15b2o51bo$68bobo$60bo
7b2o$60bobo$60b2o11bo$72bo$72b3o2$10bobo$11b2o$11bo48bobo$60b2o$61bo5$
25bo$23bobo9b2o$24b2o9bobo$36bo13$19b2o$18bobo$20bo12$13bo$13b2o$12bob
o48bo$62b2o$62bobo2$3o$2bo$bo11b2o$12bobo$5b2o7bo$4bobo$6bo51b2o$58bob
o$58bo2$12bo$12b2o$11bobo$63b2o$62b2o$64bo!
Trans dimer of p24 traffic light hassler in 27G

Code: Select all

x = 415, y = 64, rule = B3/S23
211bo$209b2o$210b2o3$367bo$368b2o$367b2o3$362bobo$363b2o$363bo$407bobo
2bobo$407b2o3b2o$408bo4bo$403bo$402bo$181bo220b3o$182bo$180b3o5$367bob
o$188bo179b2o$111bo77bo178bo$2bo108bobo73b3o$3b2o106b2o$2b2o272b2o88b
2o$183b3o90b2o88b2o$185bo$10bo91bo81bo$8b2o92bobo170b3o87b3o$9b2o76bo
7bo6b2o103bo67b2obo2b2o14bo67b2obo2b2o14bo$86bobo7b2o108bobo68b2o2b2o
13bobo68b2o2b2o13bobo$86b2o7b2o109b2o69b2o17b2o69b2o17b2o$10b2o$9b2o$
2b2o7bo70b2o10bo107b2o88b2o88b2o$3bo79bo9bobo12b2o93bo89bo89bo$3o77b3o
10bobo12bobo89b3o87b3o87b3o$o79bo13bo13bo91bo10b2o77bo10b2o77bo10b2o$
207b2o2b2o84b2o2b2o84b2o2b2o$207b2o2bob2o82b2o2bob2o67bo14b2o2bob2o$
171b3o38b3o87b3o66b3o18b3o$173bo196bob3o$172bo196bo3bo$20b3o189b2o60b
2o26b2o64bo3bo19b2o$20bo191b2o59bobo26b2o63b3obo20b2o14bo$21bo253bo92b
3o36b2o$280bo88bo37bobo$279b2o$279bobo2$274b2o18bo$273bobo17b2o$275bo
17bobo3$289b2o$288b2o$290bo!
EDIT: p24 pi-heptomino hassler in 28G, not submitted because I suppose it can be reduced

Code: Select all

x = 323, y = 36, rule = B3/S23
113bo6bo$112bo6bo$112b3o4b3o176bo$296bobo$b2o98b2o98b2o10bo83b2o2b2o
10bo$o2bo96bo2bo96bo2bo8b3o85bo2bo8b3o$bobo97bobo12b2o65bo6bo10bobo7bo
b3o85bobo7bob3o$2bo99bo12b2o67bo6bo10bo7bo3bo13bo73bo7bo3bo$117bo64b3o
4b3o17bo3bo12b2o81bo3bo$208b3obo14b2o79b3obo$209b3o78bo18b3o$210bo78b
3o18bo$o99bo85b2o12bo30bobo54b3obo7bo$o88bo10bo86b2o11bo30b2o56bo3bo6b
o$o89b2o8bo85bo13bo31bo57bo3bo5bo$89b2o34bo165bob3o$124b2o166b3o$124bo
bo166bo$84bobo230bo$85b2o229b3o$85bo34b2o193b3obo$110bo8b2o57bo31bo13b
o85bo5bo3bo$110bo10bo56b2o30bo11b2o86bo6bo3bo$110bo66bobo30bo12b2o85bo
7bob3o$200bo99bo18b3o$16b3o180b3o97b3o18bo$16bo165b2o14bob3o95bob3o$
11bobo3bo75bo89b2o12bo3bo17b3o4b3o68bo3bo$6bobo2b2o81b2o12bo73bo13bo3b
o7bo10bo6bo69bo3bo7bo$7b2o3bo80b2o12bobo85b3obo7bobo10bo6bo67b3obo7bob
o$7bo99bo2bo85b3o8bo2bo85b3o8bo2bo$108b2o87bo10b2o87bo10b2o2b2o$312bob
o$89b3o4b3o213bo$91bo6bo$90bo6bo!
EDIT on March 30: p36 honey farm lassler, the third synthesized oscillator I know of that uses two heavyweight emulators, with the first two being p44 and p76 pi-heptomino hassler. Hope the second step can be rendered properly in catagolue...

Code: Select all

x = 840, y = 79, rule = B3/S23
504bo$505b2o$504b2o3$598bo$596bobo$597b2o$46bobo666bo$46b2o668b2o$47bo
667b2o2$29bo494bo77bo$27bobo494bobo76b2o109bo$28b2o494b2o76b2o111b2o4b
o$517bo196b2o5bobo$518b2o201b2o$517b2o212bo$618bo112bobo$617bo113b2o$
617b3o2$613bobo$614b2o$51b2o94bo272bo193bo$50b2o85b2o8bobo87b2o98b2o
82b2o14b2o98b2o98b2o98b2o81bo16b2o$52bo84bo9b2o88bobo97bobo80b2o15bobo
97bobo97bobo97bobo80b3o14bobo$134b2obobo94b2obobo85bobo6b2obobo94b2obo
bo94b2obobo94b2obobo94b2obobo83bo10b2obobo$134bobob2o94bobobo87b2o6bob
obo95bobobo95bobobo95bobobo95bobobo83b2o10bobobo$136bo99bo89bo9bo89bo
9bo99bo99bo79b2o18bo79b2o18bo$22bobo110b2o98b2o98b2o3bo86b2o6b2o97bo2b
o96bo2bo79bo16bo2bo79bo16bo2bo$23b2o302bo11bo86b2o11bo97bo99bo79bobo
17bo79bobo17bo$23bo304bo10b3o89b2o5bobo92bo3bo85bo9bo3bo80b2o3bo9bo3bo
80b2o3bo9bo3bo$220bobo103b3o101bo2bo4bobo4b3o85bo3bo84bobo8bo3bo84bobo
8bo3bo84bobo8bo3bo$144b3o74b2o119b3o86b2o6bo5bo91bo84bobo12bo84bobo12b
o84bobo12bo$144bo76bo16bo88bo7b2o5bo92b2o9bo87bo2bo85bo10bo2bo85bo10bo
2bo70bo14bo10bo2bo$145bo79bo10b2o88b2o8bo6bo92bo99bo99bo99bo72bo26bo$
226bo10b2o87bobo5bobobo95bobobo95bobobo95bobobo95bobobo68b3o24bobobo$b
2o98b2o98b2o21b3o74b2o31b2obobo61b2o24b2o5b2obobo61b2o31b2obobo61b2o
31b2obobo61b2o31b2obobo61b2o31b2obobo$obo97bobo97bobo97bobo34bobo60bob
o25b2o7bobo60bobo34bobo60bobo34bobo60bobo34bobo60bobo34bobo$obob2o94bo
bob2o94bobob2o28b2o64bobob2o31b2o61bobob2o21bo9b2o61bobob2o31b2o61bobo
b2o31b2o61bobob2o31b2o61bobob2o31b2o$bobobo95bobobo95bobobo28bobo64bob
obo95bobobo95bobobo95bobobo95bobobo95bobobo24b3o$3bo39b2o58bo99bo30bo
68bo99bo99bo99bo99bo99bo26bo$2bo2bo37bobo56bo2bo96bo2bo96bo2bo96bo2bo
96bo2bo96bo2bo10bo85bo2bo10bo85bo2bo10bo14bo$2bo40bo58bo99bo18b3o78bo
99bo99bo99bo12bobo84bo12bobo84bo12bobo$2bo3bo95bo3bo95bo3bo16bo78bo3bo
95bo3bo95bo3bo95bo3bo8bobo84bo3bo8bobo84bo3bo8bobo$2bo3bo20bo74bo3bo
95bo3bo15bo79bo3bo95bo3bo95bo3bo95bo3bo9bo85bo3bo9bo3b2o80bo3bo9bo3b2o
$2bo24b2o73bo99bo99bo99bo99bo99bo99bo17bobo79bo17bobo$2bo2bo20bobo73bo
2bo96bo2bo96bo2bo96bo2bo96bo2bo96bo2bo96bo2bo16bo79bo2bo16bo$3bo99bo
99bo99bo99bo99bo99bo99bo18b2o79bo18b2o$bobobo95bobobo95bobobo95bobobo
95bobobo95bobobo95bobobo95bobobo95bobobo10b2o$obob2o94bobob2o94bobob2o
94bobob2o94bobob2o94bobob2o94bobob2o94bobob2o94bobob2o10bo$obo97bobo
97bobo97bobo97bobo97bobo97bobo97bobo97bobo14b3o$b2o98b2o98b2o98b2o98b
2o98b2o98b2o98b2o98b2o16bo$219b2o404bo$220b2o402b2o$219bo404bobo2$620b
3o$622bo84b2o$621bo84bobo$521b2o185bo$520b2o195b2o$522bo193bobo5b2o$
514b2o120b2o80bo4b2o$513bobo119b2o88bo$515bo121bo2$723b2o$722b2o$724bo
$641b2o$641bobo$641bo3$534b2o$533b2o$535bo!
EDIT on March 31: p60 lumps of muck hassler

Code: Select all

x = 421, y = 43, rule = B3/S23
287bo$285bobo$279bo6b2o$280b2o129bobo$279b2o130b2o$412bo$418bo$286bobo
99bo4bo24bobo$287b2o97b2ob4ob2o22b2o$4bo79bo99bo89bo12bo86bo13bo4bo$3b
obo77bobo97bobo87bobo97bobo$3bobo77bobo97bobo87bobo16bo80bobo$b3ob2o
74b3ob2o94b3ob2o84b3ob2o15bobo64bo11b3ob2o$o79bo99bo89bo21b2o66b2o8bo$
b3ob2o20bo53b3ob2o94b3ob2o26bo57b3ob2o82b2o10b3ob2o23bobo$3bob2o11bo7b
o56bob2o96bob2o5bo19bo60bob2o96bob2o23b2o$16b2o8b3o163bobo17b3o150bo
35bo$17b2o173b2o172b2o$278bo86b2o11bo$103bo11bobo85bo73bobo13bo83bobo
13bo$102bobo10b2o8bo76bobo71bo2bo12bobo81bo2bo12bobo$94b2o6b2o12bo7bo
69b2o6b2o73b2o5b2o6b2o5b2o76b2o5b2o6b2o5b2o$93bobo28b3o66bobo87bobo12b
o2bo81bobo12bo2bo$94bo99bo89bo13bobo83bo13bobo$299bo99bo11b2o$19b2o
183b2o204b2o$9b3o8b2o161b3o17bobo170bo35bo$11bo7bo165bo19bo5b2obo86b2o
bo71b2o23b2obo$10bo173bo26b2ob3o84b2ob3o68bobo23b2ob3o10b2o$217bo66b2o
21bo99bo8b2o$211b2ob3o66bobo15b2ob3o94b2ob3o11bo$115bo96bobo70bo16bobo
97bobo$106b2o7bobo94bobo87bobo97bobo$107b2o6b2o96bo76bo12bo80bo4bo13bo
$106bo182b2o67b2o22b2ob4ob2o$123b2o164bobo65bobo24bo4bo$122b2o235bo$
124bo240bo$105b2o190b2o66b2o$106b2o188b2o66bobo$105bo184b2o6bo$290bobo
$290bo!
Last night I fought with another LoM seed for a long time. The lesson I learnt is that there is no 3-glider synthesis of a ship where all three gliders travel in a path parallel to its main diagonal. (EDIT: nope, there is)

Code: Select all

x = 56, y = 31, rule = B3/S23
47bo$27bo4bo13bo$25b2ob4ob2o11b3o$13bo13bo4bo$12bobo38bobo$12bobo38b2o
$10b3ob2o38bo$9bo$10b3ob2o$12bob2o2b2o$3bo14b2o$bobo19b2o$2b2o18bobo$
22b2o15bo$9bo29bobo4b2o$7bobo5b2o22b2o5bobo$8b2o4bobo29bo$16bo15b2o$
31bobo18b2o$31b2o19bobo$36b2o14bo$36b2o2b2obo$40b2ob3o$46bo$bo38b2ob3o
$b2o38bobo$obo38bobo$23bo4bo13bo$7b3o11b2ob4ob2o$9bo13bo4bo$8bo!
p38 honey farm hassler

Code: Select all

x = 620, y = 61, rule = B3/S23
534bo$535bo$533b3o2$296bo$19bobo273bo$19b2o274b3o$4bo15bo$2bobo$3b2o$
288bobo$288b2o$289bo$15bo$13b2o66b2o78b2o98b2o138b2o98bo39bobo17b2o45b
obo$14b2o64bobo77bobo97bobo137bobo96bobo40b2o16bobo26bo18b2o$80bo79bo
99bo139bo99b2o40bo17bo27bo20bo$79b2o67bo10b2o98b2o138b2o158b2o27b3o$
149bo467bo$79b4o64b3o9b4o96b4o136b4o105bo21bo28b4o54bobo$79bo2bo76bo2b
o96bo2bo136bo2bo100bo5bo18bobo28bo2bo54b2o$9bo76bobo72bo92bo6bo18bo
113bo6bo102bo2b3o19b2o23bo6bo$8bo77b2o74b3o88bobo6b3o13b2o74bo38bobo6b
3o97b3o48bobo6b3o$8b3o76bo57bo18bo88bobo8bo14b2o74b2o36bobo8bo148bobo
8bo$13b2o63bo67bo107bo99b2o38bo18bo140bo18bo10bobo$12b2o65bob3o60b3o3b
3o129b2o127b3o12bo144b3o10b2o$14bo62b3obo8bo61bo129bobo125bo13bobo143b
o14bo$82bo6b2o60bo14bo84bo30bo108bo18b2o13b2o124bo18b2o$89bobo73bo84bo
bo137bobo128bo28bobo$165b3o82bobo137bobo127bobo27bobo$251bo11bo127bo
11bo117b2o28bo11bo28b2o$147b3o112bobo137bobo157bobo27bobo$149bo112bobo
137bobo157bobo28bo$148bo14bo68bo30bo104b2o13b2o18bo139b2o18bo$162bo67b
obo135bobo13bo144bo14bo$162b3o3b3o60b2o135bo12b3o145b2o10b3o$168bo91bo
120bo18bo38b2o87bobo10bo18bo$o69bo79bo18bo64b2o14bo8bobo128bo8bobo36b
2o110bo8bobo$3o67b3o77b3o82b2o13b3o6bobo128b3o6bobo38bo109b3o6bobo48b
3o$3bo69bo79bo80bo18bo6bo132bo6bo152bo6bo23b2o19b3o2bo$2bo2bo66bo2bo
76bo2bo96bo2bo136bo2bo100b2o54bo2bo28bobo18bo5bo$2b4o66b4o76b4o9b3o84b
4o136b4o99bobo54b4o28bo21bo$165bo331bo$4b2o68b2o78b2o10bo87b2o138b2o
128b3o27b2o$4bo69bo79bo99bo139bo110bo20bo27bo17bo40b2o$2bobo67bobo77bo
bo97bobo137bobo110b2o18bo26bobo16b2o40bobo$2b2o68b2o78b2o98b2o138b2o
110bobo45b2o17bobo39bo2$225bo$225b2o$224bobo4$217b3o$219bo$218bo2$579b
3o$579bo$580bo!
p60 traffic light hassler

Code: Select all

x = 321, y = 60, rule = B3/S23
271bo30bobo$272b2o28b2o$271b2o30bo6bo$309bo$282bo26b3o$283bo$281b3o3$
101bo207bo$100bo75bo105bo24b2o$100b3o74b2o101bobo25b2o$176b2o3bo99b2o$
90bo82b2o7b2o$91b2o79bobo6b2o$90b2o82bo2$95bo3bobo179bo$96bo2b2o76b3o
101b3o$94b3o3bo78bo4bo99bo$178bo4bobo97bobo$29bo154bo99bo33b2o$27b2o
288b2o$28b2o283b2o4bo$185b2o98b2o26bobo$185b2o98b2o26bo$23bobo89b2o88b
2o98b2o$24b2o91bo89bo99bo$5bo18bo4bobo4bo58bo18bo70bo18bo80bo18bo$4o3b
o21b2o4bo54b4o3bo16bo3bo61b4o3bo16bo3bo71b4o3bo16bo3bo$3bo3bo15bo6bo4b
3o55bo3bo16bo3b4o61bo3bo16bo3b4o71bo3bo16bo3b4o$7bo16bo72bo18bo70bo18b
o80bo18bo$4bo17b3o69bo89bo99bo$5b2o27b2o59b2o88b2o98b2o$33bobo169b2o
71bo26b2o$35bo169b2o69bobo26b2o$272bo4b2o$273b2o$20bo186bo64b2o33bo$
20b2o184bobo4bo92bobo$19bobo89bo3b3o89bo4bo94bo$111b2o2bo96b3o93b3o$
110bobo3bo193bo2$120b2o95bo$119b2o88b2o6bobo$121bo86b2o7b2o$210bo3b2o
93b2o$109b3o101b2o67b2o25bobo$111bo103bo67b2o24bo$110bo171bo3$308b3o$
308bo$280b3o26bo$282bo$281bo6bo30b2o$288b2o28b2o$287bobo30bo!
EDIT on April 3: one of the three single-queen-bee p30 guns, capped

Code: Select all

x = 323, y = 39, rule = B3/S23
11bo$9bobo$10b2o7$9b2o78b2o68b2o68b2o78b2o$9b2o78b2o68b2o68b2o78b2o2$
10bo79bo69bo69bo79bo$9bobo77bobo3b2o62bobo3b2o62bobo3b2o72bobo3b2o$4b
2o2bo2bo72b2o2bo2bo3bo58b2o2bo2bo3bo58b2o2bo2bo3bo68b2o2bo2bo3bo$4b2ob
o76b2obo8b3ob2o52b2obo8b3ob2o52b2obo8b3ob2o51bo10b2obo8b3ob2o$8b2o78b
2o8bob2o56b2o8bob2o56b2o8bob2o52bo13b2o8bob2o$292b3o$99b3o67b3o67b3o
55bo21b3o$27bo71bo2bo66bo2bo66bo2bo55b2o19bo2bo$26b2o72b2o69b2o68b2o
54b2o22b2o$26bobo$231b2o78b2o$7b2o87bo133bobo66b2o9bobo$6bobo87b2o132b
2o68b2o8b2o7bo$8bo81b3o2bobo127bo73bo18b2o$92bo7b2o54b3o67bo91bobo$91b
o8bobo55bo65b3o67b2o$bo98bo56bo3b2o130bobo$b2o158bobo131bo$obo28bo129b
o147b2o$30b2o277bo$30bobo58b3o216b3o$93bo133bo84bo$92bo134b2o$226bobo$
170b3o$170bo$171bo!
I have also made the p30 base for the other one, but have not figured out how to insert the pi-heptomino yet. As for the earliest one, well... It needs a simpler substitute for the p6 domino sparker first.
For posterity, two variants of a dirty 3G component that converts a bun to a bookend without crossing the surface:

Code: Select all

x = 65, y = 25, rule = B3/S23
62bo$55bo6bobo$53bobo6b2o$54b2o2$51bo$49bobo$bo48b2o$2bo$3o10bo$9bo3bo
bo$7b2o4b2o$8b2o5$2b2o48b2o$bo2bo46bo2bo$2b3o47b3o2$2b2obo46b2obo$2b2o
b3o44b2ob3o$8bo49bo$7b2o48b2o!
Two hours later...

Code: Select all

#C [[ STOP 40 ]]
x = 43, y = 58, rule = B3/S23
24b2o$20b2obobo$20b2obo$23b2o$20b2o5bo$20bo5bobo$18bobo4bo3bo$18b2o6b
3o$24b2o3b2o4$18b2o$18bobo$20bo20bo$20b2o19bo$23b2o$20b2obo17bo$20b2ob
obo14bobo$24b2o$40b3o3$40b3o2$40bobo$41bo$24b2o$23bobo15bo$25bo15bo$
35b3o$20b3o12bo$22bo13bo$21bo5$17b2o$18b2o$17bo$28b2o$28bobo$28bo4$6bo
$6b2o$5bobo6$3o$2bo$bo!
Alas, the spark fades one tick too late! One more glider is required.

Code: Select all

x = 64, y = 56, rule = B3/S23
21b2o$17b2obobo$17b2obo$20b2o$17b2o5bo$17bo5bobo$15bobo4bo3bo19bobo$
15b2o6b3o20b2o$21b2o3b2o19bo3$45bo$15b2o26b2o4bo$15bobo16bobo7b2o2bo$
17bo16b2o12b3o$17b2o16bo$20b2o$17b2obo$17b2obobo$21b2o38bobo$61b2o$62b
o6$39b3o$39bo$40bo$16b2o$15bobo$17bo18b2o$36bobo$36bo$17b2o$16bobo$18b
o$23bo$22b2o$22bobo5$5b3o$7bo$6bo$22bo$22b2o$21bobo2$2o$b2o52b3o$o54bo
$56bo!
EDIT on April 4: continued from this post, carnival shuttle (two variants):

Code: Select all

x = 367, y = 118, rule = B3/S23
359bo$357b2o$358b2o4$98bobo$98b2o$99bo$345bo$346b2o$89bobo253b2o7bo$
89b2o261b2o$90bo262b2o$167bo$168bo$166b3o$70bobobo7bo67bobobo85bobobo
27bo67bobobo$70bobobo8b2o65bobobo85bobobo26bo68bobobo11b3ob3o$70bo3bo
7b2o66bo3bo3bo3bo77bo3bo3bo3bo18b3o66bo3bo3bo3bo6bo$71bobo77bobo4bo3bo
78bobo4bo3bo88bobo4bo3bo3b2o3b2o$70bo3bo75bo3bo3bo3bo77bo3bo3bo3bo7b2o
78bo3bo3bo3bo6bo$70bobobo75bobobo85bobobo14bo2bo77bobobo11b3ob3o$70bob
obo75bobobo85bobobo15bobo77bobobo$261bo$175b2o$168b2o5bobo80b2o$168bob
o4bo82bobo92b2o$169bo89bo92b2o$74b2o195b2o72b2o7bo$75b2o106bo87bobo72b
2o$74bo108bobo85bo73bo$183b2o$264b3o$73b2o20b3o$74b2o19bo166bo5bo$73bo
22bo165bo5bo$262bo5bo$358b2o$264b3o90b2o$179b2o178bo$179bobo$179bo5$
282b3o$282bo$283bo14$361bo$361bobo$361b2o4$340bo$341b2o21bo$340b2o22bo
bo$364b2o4$97bobo$97b2o$98bo4$168bo$169bo$19bo147b3o$17b2o254bo$18b2o
252bo84b3ob3o$5bo69bo3bo5bo69bo3bo3bo81bo3bo3bo18b3o70bo3bo3bo6bo$4b2o
68b2o3bo6b2o66b2o3bo3bo80b2o3bo3bo90b2o3bo3bo3b2o3b2o$5bo69bo3bo5b2o
68bo3bo3bo81bo3bo3bo7b2o82bo3bo3bo6bo$b2obo66b2obo76b2obo86b2obo15bo2b
o77b2obo12b3ob3o$o4bo64bo4bo74bo4bo84bo4bo15bobo76bo4bo$4bo69bo79bo89b
o17bo81bo$2o14bo53b2o78b2o24b2o62b2o98b2o$4b2o9b2o57b2o78b2o13b2o5bobo
65b2o13b2o83b2o$bo13bobo53bo79bo17bobo4bo64bo17bobo79bo$o4bo64bo4bo74b
o4bo14bo69bo4bo14bo79bo4bo$bob2o66bob2o76bob2o86bob2o27b2o67bob2o$o69b
o79bo33bo55bo31bobo65bo$2o68b2o78b2o32bobo53b2o30bo67b2o$o69bo5b2o16b
3o53bo33b2o54bo99bo$77b2o15bo170b3o$76bo18bo$263bo5bo$263bo5bo94b2o$
263bo5bo70b2o22bobo$341b2o21bo$265b3o72bo$180b2o$180bobo$180bo$361b2o$
361bobo$361bo2$283b3o$283bo$284bo!
Last edited by GUYTU6J on November 1st, 2022, 11:57 pm, edited 1 time in total.

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

Re: Synthesising Oscillators

Post by mniemiec » April 20th, 2022, 2:59 pm

Trivial 14-glider syntheses of cis- and trans- compact Strontium isomers:

Code: Select all

x = 241, y = 96, rule = B3/S23
125bobo46bobo$115bo10boo46boo10bo$116bo9bo48bo9bo$114b3o68b3o7$209bo
22bo$207b3o22b3o$206bo28bo$bbo86bo116boo26boo$bo88bo$b3o84b3o$72boo68b
oo14boo52boo14boo$bo69bobo16bo50bobo14bobo40bo11bo14bo11bo$boo69bo16b
oo51bo16bo41bo4boo4bo16bo4boo4bo$obo86bobo109bo5bobboo18boobbo5bo$$
203b3o30b3o3$123b3o50b3o$125bobb3o40b3obbo$124bo5bo40bo5bo$129bo42bo6$
118b3o60b3o$120bo60bo$119bo62bo24$182bo$125bobo53bo$115bo10boo53b3o$
116bo9bo$114b3o4$172bo$171bo5bo$171b3obbo$176b3o30bo$207b3o$206bo$72bo
133boo28b3o$71bo$71b3o15bobo138boobbo5bo$89boo51boo15bo52boo15bo4boo4b
o$71bo18bo50bobo14bobo40bo11bo14bo11bo$71boo69bo15boo41bo4boo4bo15boo$
70bobo15b3o110bo5bobboo$90bo$89bo113b3o28boo$235bo$232b3o$123b3o106bo$
125bobb3o$124bo5bo$129bo4$185b3o$175bo9bo$118b3o53boo10bo$120bo53bobo$
119bo!

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 2nd, 2022, 8:30 am

Regular practice!
p1368 LCM oscillator starting from the p72:

Code: Select all

x = 805, y = 99, rule = B3/S23
75bobo$75b2o$76bo13$66bo$65bo$65b3o5$385bo$384bo$384b3o5$38bobo$38b2o$
39bo6$642bo$640bobo$641b2o$30bo233bo$29bo235bo$29b3o231b3o$270bo$269bo
$2b2o128b2o108b2o25b3o70b2o108b2o88b2o98b2o108b2o$o2bo126bo2bo106bo2bo
96bo2bo23b2o81bo2bo86bo2bo96bo2bo106bo2bo$151b2o108b2o10b2o86b2o3bo2bo
3b2o96b2o4b2o4b2o76b2o4b2o4b2o86b2o4b2o4b2o96b2o4b2o4b2o$o2bo126bo2bo
16bo2bo8bo77bo2bo16bo2bo8bo2bo64bo2bo16bo2bo3b2o3bo2bo74bo2bo16bo2bobo
4bobo2bo54bo2bo16bo2bobo4bobo2bo64bo2bo16bo2bobo4bobo2bo74bo2bo16bo2bo
bo4bobo2bo$bo2bo126bo2bo15b3o7bobo78bo2bo15b3o10b3o65bo2bo15b3o10b3o
75bo2bo15b3o10b3o55bo2bo15b3o10b3o65bo2bo15b3o10b3o75bo2bo15b3o10b3o$
2bobo127bobo18b3o5b2o79bobo18b3o4b3o69bobo18b3o4b3o79bobo18b2o6b2o59bo
bo18b2o6b2o69bobo18b2o6b2o79bobo18b2o6b2o$3bo129bo18bo2bo9bobo75bo18bo
2bo4bo2bo69bo18bo2bo4bo2bo79bo18bo2b6o2bo59bo18bo2b6o2bo69bo18bo2b6o2b
o79bo18bo2b6o2bo$8b2o128b2o12b2o11b2o81b2o12b2o8b2o74b2o12b2o8b2o84b2o
12b2o8b2o64b2o12b2o8b2o74b2o12b2o8b2o84b2o12b2o8b2o$2b2o4b2o122b2o4b2o
26bo75b2o4b2o92b2o4b2o18bo83b2o4b2o82b2o4b2o92b2o4b2o102b2o4b2o38bobo$
2b2o8b2o118b2o8b2o98b2o8b2o88b2o8b2o13bobo82b2o8b2o78b2o8b2o88b2o8b2o
98b2o8b2o34b2o$11b3o127b3o107b3o97b3o13bobo91b3o87b3o97b3o107b3o35bo$
11bo2bo13b2o111bo2bo106bo2bo96bo2bo13bo92bo2bo86bo2bo96bo2bo31bo74bo2b
o$12b2o13b2o113b2o108b2o98b2o108b2o88b2o98b2o30b2o76b2o$29bo445b2o208b
2o$475b2o$162b2o412bo196b2o$25b3o135b2o410bo4bobo190b2o$25bo136bo316b
3o93b3o2b2o$26bo142b2o308bo101bo$158b3o7b2o310bo300b2o$2b2o128b2o26bo
9bo8b2o61b2o98b2o108b2o88b2o98b2o108b2o27bobo$2bo2bo2b2o122bo2bo2b2o
19bo19bobo60bo2bo2b2o92bo2bo2b2o102bo2bo2b2o82bo2bo2b2o15bo76bo2bo2b2o
102bo2bo2b2o21bo12b2o$8b2o128b2o39bo68b2o98b2o108b2o88b2o15bobo80b2o
108b2o34bo8bo$2bo2bo126bo2bo106bo2bo96bo2bo106bo2bo86bo2bo19b2o75bo2bo
106bo2bo39b3o4b2o$bo2bo36b2o88bo2bo106bo2bo27bo68bo2bo106bo2bo86bo2bo
96bo2bo15b2o89bo2bo15b2o25bo4bobo$bobo37bobo87bobo107bobo27b2o68bobo
107bobo87bobo97bobo15bo2bo26b2o60bobo15bo2bo$2bo38bo90bo109bo28bobo68b
o109bo89bo99bo16bobo27bobo60bo16bobo$660bo28bo80bo$2b2o128b2o108b2o23b
3o72b2o108b2o20b2o66b2o10b2o86b2o10b2o7b2o87b2o10b2o7b2o$2b2o128b2o
108b2o25bo72b2o46b2o60b2o19b2o67b2o11bo86b2o11bo7bo88b2o11bo7bo$268bo
79b2o39b2o84bo76b3o97b3o9b3o95b3o9b3o$349b2o40bo160bo99bo13bo8b2o85bo
13bo$348bo112b2o93b3o117b2o$460bobo95bo116bo$462bo94bo$570b3o$570bo$
571bo113b2o$61b3o409b2o210bobo$61bo223bo186b2o211bo$62bo221b2o188bo$
284bobo292b2o$578b2o5b2o$580bo4bobo$585bo7$62bo$61b2o$61bobo!
This 35P12-based period-doubled p120 starting from fire-spitting: (EDIT: reduced from last submission because there is no need for an expensive eater edge-shooter. Cannot get rid of the 5G boat edge-shooter due to it making up a quasi still life, though.)

Code: Select all

x = 496, y = 122, rule = B3/S23
481bo$481bobo$481b2o6bo$487b2o$488b2o$482bobo$482b2o$483bo2$466bo$250b
obo211bobo$250b2o213b2o$245b3o3bo$237bobo7bo$238b2o6bo99bo109bo$2bo10b
o224bo106bobo107bobo$3bo8bo236bobo93bobo107bobo21bo$b3o8b3o132bo101b2o
92b3ob2o104b3ob2o19bo$148b2o100bo91bo109bo25b3o$66bo80b2o194b3ob2o104b
3ob2o$67bo277bob2o94bobo9bob2o$65b3o3bo12bobo2bobo82bobo2bobo92bobo2bo
bo92bobo2bobo62b2o38bobo2bobo$72bo7b2obo2bo2bo2bob2o61bobo10b2obo2bo2b
o2bob2o50b2o32b2obo2bo2bo2bob2o84b2obo2bo2bo2bob2o58bo35b2obo2bo2bo2bo
b2o$70b3o11bobo2bobo66b2o14bobo2bobo53bobo18bo17bobo2bobo69bo22bobo2bo
bo78bo23bobo2bobo$158bo8b2o68bo7b2o9bobo8b2o82bobo13b2o80bobo7bobo15b
2o$2o12b2o151bobo76b2o8b2o9bobo81b2o14bobo80b2o6bo2bo15bobo$b2o10b2o
56b3o94bo76bo22bo87b2o10bo81bo8b2o5b2o10bo$o7b2o5bo57bo14b2o88b2o85bo
12b2o75bobo7bo12b2o85bobo7bo12b2o$7bob3o60bo14bob3o65bo19bob3o72b2o8bo
bo10bob3o66b3o5bo7bobo10bob3o84bo7bobo10bob3o$7bobobo69bo5bobobo66b2o
17bobobo73b2o7b2o11bobobo68bo13b2o11bobobo78b2o12b2o11bobobo$6b2o2b3o
69bo3b2o2b3o64b2o16b3o2b3o71bo20b3o2b3o66bo25b3o2b3o78b2o22b3o2b3o$9bo
70b3o6bo84bo4bo94bo4bo94bo4bo80bo23bo4bo$10bo79bo75bobo5b2o4bo93b2o4bo
93b2o4bo103b2o4bo$10b2o78b2o75b2o11b2o98b2o98b2o108b2o$156b3o8bo104bo
99bo109bo$11bobo68b2o7bobo64bo22bobo86b3o8bobo71bo14b3o8bobo96b3o8bobo
$12b2o69b2o7b2o63bo24b2o85bo12b2o71b2o12bo12b2o95bo12b2o$82bo186b2o83b
obo12b2o71b3o34b2o$444bo18bo2bob2obo2bo$443bo19b4ob2ob4o$164b3o195b3o
84b2o12bo2bob2obo2bo$166bo195bo87b2o$165bo197bo85bo2$370b2o$149bo220bo
bo$149b2o213bo5bo$148bobo212b2o$363bobo22$311bo$311bobo$311b2o6bo$317b
2o$318b2o$312bobo$312b2o$313bo2$296bo$294bobo$295b2o3$286bo$285bobo$
285bobo21bo$283b3ob2o19bo$282bo25b3o$120bo11bo150b3ob2o$273bobo9bob2o$
122bo7bo43bobo2bobo92b2o38bobo2bobo$157bobo10b2obo2bo2bo2bob2o88bo35b
2obo2bo2bo2bob2o$124bo3bo29b2o14bobo2bobo108bo23bobo2bobo$158bo8b2o
110bobo7bobo15b2o$126bo40bobo110b2o6bo2bo15bobo$168bo111bo8b2o5b2o10bo
$124bo3bo49b2o115bobo7bo12b2o$157bo19bob3o114bo7bobo10bob3o$122bo7bo
27b2o17bobobo108b2o12b2o11bobobo$157b2o17b2o2b3o108b2o23b2o2b3o$120bo
11bo46bo42bobobobobobo57bo28bo$180bo132b2o5bo$180b2o130bobo5b2o$156b3o
153bo$158bo22bobo126b3o8bobo$157bo24b2o125bo12b2o$272b3o34b2o$274bo18b
o2bob2obo2bo$273bo19b4ob2ob4o$181b2o96b2o12bo2bob2obo2bo$180b2o98b2o$
182bo96bo$164b2o$163bobo$165bo14b3o$180bo$181bo2$163bo$163b2o$162bobo!

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 3rd, 2022, 8:14 am

Make a new post to request for help.
As the recipe for the eater 3 base is flexible enough, I can construct a cheap variant of sailboat with bookends as induction coils.

Code: Select all

x = 739, y = 59, rule = B3/S23
12bo92bo$13b2o89bo$12b2o90b3o$32bo$31bo$19bo11b3o66b2o$20bo79b2o$18b3o
2$13bo$14b2o$13b2o2$9bobo$10b2o$10bo21b2o65b2o11b2o65b2o11b2o65b2o11b
2o65b2o11b2o65b2o11b2o85b2o11b2o75b2o11b2o75b2o11b2o$30bo2bo65bo2bo7bo
2bo65bo2bo7bo2bo65bo2bo7bo2bo65bo2bo7bo2bo65bo2bo7bo2bo61bo23bo2bo7bo
2bo75bo2bo7bo2bo75bo2bo7bo2bo$30b3o67b3o7b3o67b3o7b3o67b3o7b3o67b3o7b
3o67b3o7b3o63b2o22b3o7b3o77b3o7b3o77b3o7b3o$495b2o$30b5o63b5o7b5o63b5o
7b5o63b5o7b5o63b5o7b5o63b5o7b5o83b5o7b5o73b5o7b5o73b5o7b5o$30bo4bo61bo
4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo81bo4bo7b
o4bo71bo4bo7bo4bo71bo4bo7bo4bo20bobo$33bo2bo59bo2bo13bo2bo59bo2bo13bo
2bo59bo2bo13bo2bo59bo2bo13bo2bo59bo2bo13bo2bo79bo2bo13bo2bo69bo2bo13bo
2bo69bo2bo13bo2bo19b2o$33b2obo2b2o51b2o2bob2o13b2obo2b2o51b2o2bob2o13b
2obo2b2o51b2o2bob2o13b2obo2b2o51b2o2bob2o13b2obo2b2o51b2o2bob2o13b2obo
2b2o71b2o2bob2o13b2obo2b2o61b2o2bob2o13b2obo2b2o61b2o2bob2o13b2obo2b2o
16bo$36bobobo51bobobo19bobobo51bobobo19bobobo51bobobo5bo13bobobo51bobo
bo5bo7bo5bobobo51bobobo5bo7bo5bobobo71bobobo5bo7bo5bobobo61bobobo5bo7b
o5bobobo61bobobo5bo7bo5bobobo$36bobo55bobo19bobo55bobo19bobo55bobo4bob
o12bobo55bobo4bobo5bobo4bobo55bobo4bobo5bobo4bobo75bobo4bobo5bobo4bobo
65bobo4bobo5bobo4bobo65bobo4bobo5bobo4bobo$35b2ob2o53b2ob2o17b2ob2o53b
2ob2o17b2ob2o53b2ob2o2bo2bo11b2ob2o53b2ob2o2bo2bo5bo2bo2b2ob2o53b2ob2o
2bo2bo5bo2bo2b2ob2o73b2ob2o2bo2bo5bo2bo2b2ob2o63b2ob2o2bo2bo5bo2bo2b2o
b2o63b2ob2o2bo2bo5bo2bo2b2ob2o$261b2o78b2o7b2o69b2o7b2o89b2o7b2o79b2o
7b2o79b2o7b2o$426b2o98b2o88b2o88b2o$425bobo97bobo77bo9bobo16bobo68bobo
$31b2o148b2o87b2o154bo83bo15bo77bobo9bo17b2o70bo$31bobo146bobo2b2o79b
2o2bobo238bo93bobo27bo$31bo150bo2bobo77bobo2bo238b3o88b2o4b2o88b2ob6o$
185bo81bo253b2o77bobo8b2o7b2o2b3o69b2ob6o4b3o$b2o91b2o81bo97bo244bo2bo
77b2o7bo2bo5bobo2bo71b2o$obo90bo2bo80b2o95b2o71bo173b2o88b2o8bo3bo70b
2o5b2o$2bo90bobo80bobo95bobo64b3o2b2o66bo95b2o184b2o5b2o$6b2o86bo248bo
2bobo66b2o94b2o5b2o88b2o86b2o5b2o$5bobo334bo13b2o56b2o94bo6bo2bo86bo2b
o92b2o$7bo348bobo59b3o97b2o88b2o86b6ob2o23bo$94b2o260bo63bo275b6ob2o
22b2o$94bobo322bo4bo302bobo$19b3o72bo328b2o83b2o$19bo403bobo81bobo198b
o$20bo488bo198b2o24bo$589b3o115bobo23b2o$591bo136b2o3bobo$590bo30b2o
105bobo$621bobo104bo$490b2o129bo$489bobo$491bo$496bo115bo$496b2o114b2o
$495bobo113bobo3$616b3o$616bo$617bo!
By flexible, I mean there are a few results from spark-search.py for the active region making a wing, and also a few from synthesise-patt.py for the central "moth" (not shown).

Code: Select all

x = 218, y = 821, rule = B3/S23
122bo$122bobo$122b2o$114bo$112bobo$113b2o4bobo$119b2o$120bo4$217bo$
210bobo2b2o$6bo199bo4b2o3b2o$7b2o198bo3bo$6b2o197b3o$18bo$17bo$13bo3b
3o$14bo$12b3o80$108bo$107b3o$106bo2bo$106b2o14b3o$106b2o$108bo17bo$
126bo84bo$118bo2b2o3bo83bobo$119b3obo89bo$121bo2bo$122b2o90bo$209bo$
210bo3b2o$115b2o93bobo$15bo99b2o94b2ob2o$15b2o190b4ob4o$8b2o5b3o$7bob
3o195b3o2bo$6bo2bob2o2bo96b3o92b2o3b2o$7b3o4b2o93bo102b2o$9bo98bo2bo$
108bo$9bo4bo98bo95bo2bo$9bo2bo96bo2bo96bo2bo$10b3o97b3o97b3o4$10bo99bo
99bo$8b2o2bo95b2o2bo95b2o2bo$7bo99bo99bo$6bo99bo99bo$b2o4bo4bo88b2o4bo
4bo88b2o4bo4bo$obo6bo90bobo6bo90bobo6bo$2bo99bo99bo2$3b3o97b3o97b3o$2b
o3bo95bo3bo95bo3bo$2bo99bo99bo$2bo99bo99bo$3bo99bo99bo$2b2ob2o95b2ob2o
95b2ob2o$2bo2bo96bo2bo96bo2bo$3b2o98b2o98b2o53$108bo$107b3o$107bob2o$
110b2o$107bob2o$106b2obo$107bo$122b3o2$126bo$125bobo83b2o$124bo2bo83b
2o$125b2o2$209bo$208b2ob2o$209bo$12bo102b2o96bobo$10bo104b2o92bo4bobo$
10b2o196b2ob2obobo$209bo2bo$114bo95bob2o$114bo95bo2bo$214b2o$213bo$
213b2o$213bo2$9b2o98b2o98b2o$9bo2bo96bo2bo96bo2bo$10b2obo96b2obo96b2ob
o2$8b5o95b5o95b5o$7bo3bo95bo3bo95bo3bo$6bob3o95bob3o95bob3o$2b2o2bobo
93b2o2bobo93b2o2bobo$2bobobo95bobobo95bobobo$4bobo97bobo97bobo$3b2ob2o
95b2ob2o95b2ob2o8$4b2o98b2o98b2o$3bo2bo96bo2bo96bo2bo$3bobo97bobo97bob
o$4bo99bo99bo55$5bo$6b2o$5b2o4bo$11bobo$11b2o6$3bo$3b2o$2bobo86$6b2o$
6b2ob2obo$5bo3b2ob2o$5bobo5b2o$6bo3b2ob2o$13bo$12bo2$10b3o$10b3o$13bo$
9bobob2o2$8bo$13bo$9bo2bo$10b3o4$10bo$8b2o2bo$7bo$6bo$b2o4bo4bo$obo6bo
$2bo2$3b3o$2bo3bo$2bo$2bo$3bo$2b2ob2o$2bo2bo$3b2o63$11b2o$10bo2bo$11bo
bo$4bo3b2o2bo$4bo3b2o$4bo3b2o7$13b2o$13b2o$13bobo4$9b2o$9bo2bo$10b2obo
2$8b5o$7bo3bo$6bob3o$2b2o2bobo$2bobobo$4bobo$3b2ob2o8$4b2o$3bo2bo$3bob
o$4bo55$12bo95bo$11bo97bo$11b3o93b3o3$7bo106bo$5bobo106bobo$6b2o106b2o
$2bo99bo$obo97bobo$b2o98b2o95$9b2o98b2o$8bo2bo96bo2bo$8b2ob2o95b2ob2o$
9bo99bo$8bo99bo$8bo99bo$8bo3bo95bo3bo$9b3o97b3o2$8bo99bo$6bobo6bo90bob
o6bo$7b2o4bo4bo88b2o4bo4bo$12bo99bo$13bo99bo$14b2o2bo95b2o2bo$16bo99bo
4$16b3o97b3o$16bo2bo96bo2bo$20bo99bo3$18b3o97b3o75$9b3o97b3o$9b3o97b3o
$12bo99bo7$10bo99bo$9bo2bo96bo2bo$10bob2o96bob2o$8bobobobo93bobobobo$
8b2o2bobo93b2o2bobo$12bob3o95bob3o$13bo3bo95bo3bo$14b3o97b3o$18bo99bo$
16b4o96b4o$15bo99bo$15bobo97bobo2$16bo99bo$17bobo97bobo$20bo99bo$19bo
99bo$19bo99bo!
The canonical version with minimum population is significantly harder, though, and I am only able to build three out of the four tubs.

Code: Select all

x = 1031, y = 104, rule = B3/S23
998bobo$999b2o14bo$999bo14bo$1014b3o$12bo92bo$13b2o89bo$12b2o90b3o896b
o$32bo968bobo$31bo970b2o$19bo11b3o66b2o915bo$20bo79b2o897bo15b2o$18b3o
976bobo16b2o4bo$998b2o20b2o$13bo1007b2o$14b2o$13b2o$914bobo38bobo$9bob
o902b2o37bo5bo$10b2o903bo100bo$10bo21bo66b2o11bo66b2o11bo76b2o11bo66b
2o11bo66b2o11bo66b2o11bo66b2o11bo86b2o11bo76b2o11bo76b2o11bo77bo53bo2b
o4bo$31bobo65bo2bo8bobo65bo2bo8bobo75bo2bo8bobo65bo2bo8bobo65bo2bo8bob
o65bo2bo8bobo65bo2bo8bobo61bo23bo2bo8bobo75bo2bo8bobo75bo2bo8bobo123b
2obo3bo2bo3bobo$32bo67b3o9bo67b3o9bo65bo11b3o9bo67b3o9bo67b3o9bo67b3o
9bo67b3o9bo63b2o22b3o9bo77b3o9bo77b3o9bo77bo46bob2o4bo6bo$259bo405b2o$
30b5o63b5o7b5o63b5o7b5o62b3o8b5o7b5o63b5o7b5o63b5o7b5o63b5o7b5o63b5o7b
5o83b5o7b5o73b5o7b5o73b5o7b5o74bo48b5o7b5o$30bo4bo61bo4bo7bo4bo61bo4bo
7bo4bo71bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4b
o81bo4bo7bo4bo71bo4bo7bo4bo71bo4bo7bo4bo69bobo49bo4bo7bo4bo$33bo2bo59b
o2bo13bo2bo59bo2bo13bo2bo69bo2bo13bo2bo59bo2bo13bo2bo59bo2bo13bo2bo59b
o2bo13bo2bo59bo2bo13bo2bo79bo2bo13bo2bo69bo2bo13bo2bo69bo2bo13bo2bo
119bo2bo12b2o2bo$33b2obo2bo52b2o2bob2o13b2obo2bo52b2o2bob2o13b2obo2bo
62b2o2bob2o13b2obo2bo53bo2bob2o13b2obo2bo53bo2bob2o13b2obo2bo53bo2bob
2o13b2obo2bo53bo2bob2o13b2obo2bo73bo2bob2o13b2obo2bo63bo2bob2o13b2obo
2bo63bo2bob2o13b2obo2bo65bo47bo2bob2o14bobo2bo$36bobobo51bobobo19bobob
o51bobobo19bobobo61bobobo19bobobo51bobobo19bobobo51bobobo5bo13bobobo
51bobobo5bo7bo5bobobo51bobobo5bo7bo5bobobo71bobobo5bo7bo5bobobo61bobob
o5bo7bo5bobobo61bobobo5bo7bo5bobobo3bo107bobobo5bo7bo3bobobobo$36bo2bo
54bobo19bo2bo54bobo19bo2bo64bobo19bo2bo53bo2bo19bo2bo53bo2bo4bobo12bo
2bo53bo2bo4bobo5bobo4bo2bo53bo2bo4bobo5bobo4bo2bo73bo2bo4bobo5bobo4bo
2bo63bo2bo4bobo5bobo4bo2bo63bo2bo4bobo5bobo4bo2bo4bobo106bo2bo4bobo5bo
6bo2bo$35b2o56b2ob2o17b2o56b2ob2o17b2o66bo2b2o17b2o59b2o17b2o59b2o2bo
2bo11b2o59b2o2bo2bo5bo2bo2b2o59b2o2bo2bo5bo2bo2b2o79b2o2bo2bo5bo2bo2b
2o69b2o2bo2bo5bo2bo2b2o69b2o2bo2bo5bo2bo2b2o7b2o59bo50b2o2bo2bo6bobo2b
2o$258b2o3b2o166b2o78b2o7b2o69b2o7b2o89b2o7b2o79b2o7b2o79b2o7b2o129b2o
8bo$257bobo336b2o98b2o88b2o88b2o137b2o$259bo335bobo97bobo77bo9bobo16bo
bo68bobo72bobobobobobo54bobo$31b2o148b3o167b2o87b2o154bo83bo15bo77bobo
9bo17b2o70bo139bo2b2o$31bobo143bo3bo79b2o87bobo2b2o79b2o2bobo238bo93bo
bo27bo$31bo145b2o3bo78bobo88bo2bobo77bobo2bo238b3o88b2o4b2o88b2ob6o
131b2ob6o2bo3bo$176bobo82bo93bo81bo253b2o77bobo8b2o83b2ob6o131b2ob6o2b
o4bo$b2o91b2o251bo97bo244bo2bo77b2o7bo2bo82b2o138b2o11bobobo$obo90bo2b
o250b2o95b2o71bo173b2o88b2o83b2o5b2o131b2o5b2o5bobobo$2bo90bobo250bobo
95bobo64b3o2b2o66bo95b2o184b2o5b2o131b2o5b2o6bo4bo$6b2o86bo418bo2bobo
66b2o94b2o5b2o88b2o86b2o5b2o131b2o5b2o7bo3bo$5bobo504bo13b2o56b2o94bo
6bo2bo86bo2bo92b2o138b2o$7bo518bobo59b3o97b2o88b2o86b6ob2o131b6ob2o8b
2o$94b2o430bo63bo275b6ob2o131b6ob2o$94bobo492bo4bo$19b3o72bo498b2o83b
2o$19bo573bobo81bobo$20bo658bo211b3o$759b3o129bo$761bo130bo$760bo30b2o
113bo$791bobo111b2o$660b2o129bo113bobo$659bobo$661bo208bo$666bo115bo
87b2o40bo$666b2o114b2o85bobo39b2o$665bobo113bobo122b2o3bobo110bo$906bo
bo115bobo$906bo117b2o$786b3o$786bo212bo$787bo212bo$998b3o17bo$1018bobo
$1018b2o$997bo$998b2o$997b2o$1018bo$1017bo$1017b3o2$1014bo$1015b2o$
1014b2o4$1009b2o11bo$1009bo2b2o7bobo$1010b2obo8bo2$1008b5o7b5o$1007bo
4bo7bo4bo$1006bo2bo12b2o2bo$1003bo2bob2o14bobo2bo$1002bobobo5bo7bo3bob
obobo$1003bo2bo4bobo5bo6bo2bo$1006b2o2bo2bo6bobo2b2o$1011b2o8bo$1015b
2o$1015bobo$1016bo2b2o2$1006b2ob6o2bo3bo$1006b2ob6o2bo4bo$1006b2o11bob
obo$1006b2o5b2o5bobobo$1006b2o5b2o6bo4bo$1006b2o5b2o7bo3bo$1013b2o$
1006b6ob2o8b2o$1006b6ob2o!
The other eater 3 seven cells apart leaves little space to work with components. Best retro-synthetic analysis attempt:

Code: Select all

x = 749, y = 39, rule = B3/S23
733bobo$412bo315bo4b2o$248bo163bobo151bo162bo4bo$246b2o164b2o150b2o
161b3o$8bo238b2o160bo155b2o$9bo397bobo$7b3o398b2o320bo$15bo148bobo563b
obo$15bobo81bo65b2o2bobo240bo74bo154bo87b2o$15b2o81bo66bo3b2o70bo87bo
80b2o73bobo3bo67bo83bo82bo$98b3o69bo68bobo87bobo79b2o73b2o3bobo3bo59bo
bo81b3o83b2o5bo$240b2o87b2o160b2o3bo61b2o162bo3b2o6bobo$92bo403b3o223b
2o10b2o$11bo79bobo77b2o153b2o316b2o75bobo$7b2obobo7bo66b2obobo7bo66b2o
2bobo6bo56b3o7b2o3b2o6bo64bobo4b2o6bo64b2o5b2o6bo64b2o2bo2b2o6bo54b3o
7b2o13bo62bobo14bo79bo$7bo3bo7bobo65bo3bo7bobo65bo5bo5bobo57bo7bo2bo2b
o5bobo63bo4bo2bo5bobo63bo2bobo2bo5bobo63bo2bobo2bo5bobo55bo7bo2bob2o7b
obo61bo4bob2o7bobo66bob2o7bobo$8b3o9bo67b3o9bo67b5o7bo57bo9b5o7bo65b7o
7bo65b3ob3o7bo65b3ob3o7bo55bo9b4obo8bo63b6obo8bo67b2obo8bo2$6b5o7b5o
63b5o7b5o63b5o7b5o63b5o7b5o63b5o7b5o63b5o7b5o63b5o7b5o63b5o7b5o63b5o7b
5o63b5o7b5o$5bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo
7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4bo61bo4bo7bo4b
o$4bo2bo12b2o2bo59bo2bo12b2o2bo59bo2bo12b2o2bo59bo2bo12b2o2bo59bo2bo
12b2o2bo59bo2bo12b2o2bo59bo2bo12b2o2bo59bo2bo12b2o2bo59bo2bo12b2o2bo
59bo2bo12b2o2bo$bo2bob2o14bobo2bo53bo2bob2o14bobo2bo53bo2bob2o14bobo2b
o53bo2bob2o14bobo2bo53bo2bob2o14bobo2bo53bo2bob2o14bobo2bo53bo2bob2o
14bobo2bo53bo2bob2o14bobo2bo53bo2bob2o14bobo2bo53bo2bob2o14bobo2bo$obo
bo5bo7bo3bobobobo51bobobo5bo7bo3bobobobo51bobobo5bo7bo3bobobobo51bobob
o5bo7bo3bobobobo51bobobo5bo7bo3bobobobo51bobobo5bo7bo3bobobobo51bobobo
5bo7bo3bobobobo51bobobo5bo7bo3bobobobo51bobobo5bo7bo3bobobobo51bobobo
5bo7bo3bobobobo$bo2bo4bobo5bo6bo2bo53bo2bo4bobo5bo6bo2bo53bo2bo4bobo5b
o6bo2bo53bo2bo4bobo5bo6bo2bo53bo2bo4bobo5bo6bo2bo53bo2bo4bobo5bo6bo2bo
53bo2bo4bobo5bo6bo2bo53bo2bo4bobo5bo6bo2bo53bo2bo4bobo5bo6bo2bo53bo2bo
4bobo5bo6bo2bo$4b2o2bo2bo6bobo2b2o59b2o2bo2bo6bobo2b2o59b2o2bo2bo6bobo
2b2o59b2o2bo2bo6bobo2b2o59b2o2bo2bo6bobo2b2o59b2o2bo2bo6bobo2b2o59b2o
2bo2bo6bobo2b2o59b2o2bo2bo6bobo2b2o59b2o2bo2bo6bobo2b2o59b2o2bo2bo6bob
o2b2o$9b2o8bo69b2o8bo69b2o8bo69b2o8bo69b2o8bo69b2o8bo69b2o8bo69b2o8bo
69b2o8bo69b2o8bo$13b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o78b2o$
13bobo77bobo77bobo77bobo77bobo77bobo77bobo77bobo77bobo77bobo$14bo2b2o
75bo2b2o75bo2b2o75bo2b2o75bo2b2o75bo2b2o75bo2b2o75bo2b2o75bo2b2o75bo2b
2o2$4b2ob6o2bo3bo64b2ob6o2bo3bo64b2ob6o2bo3bo64b2ob6o2bo3bo64b2ob6o2bo
3bo64b2ob6o2bo3bo64b2ob6o2bo3bo64b2ob6o2bo3bo64b2ob6o2bo3bo64b2ob6o2bo
3bo$4b2ob6o2bo4bo63b2ob6o2bo4bo63b2ob6o2bo4bo63b2ob6o2bo4bo63b2ob6o2bo
4bo63b2ob6o2bo4bo63b2ob6o2bo4bo63b2ob6o2bo4bo63b2ob6o2bo4bo63b2ob6o2bo
4bo$4b2o11bobobo62b2o11bobobo62b2o11bobobo62b2o11bobobo62b2o11bobobo
62b2o11bobobo62b2o11bobobo62b2o11bobobo62b2o11bobobo62b2o11bobobo$4b2o
5b2o5bobobo61b2o5b2o5bobobo61b2o5b2o5bobobo61b2o5b2o5bobobo61b2o5b2o5b
obobo61b2o5b2o5bobobo61b2o5b2o5bobobo61b2o5b2o5bobobo61b2o5b2o5bobobo
61b2o5b2o5bobobo$4b2o5b2o6bo4bo59b2o5b2o6bo4bo59b2o5b2o6bo4bo59b2o5b2o
6bo4bo59b2o5b2o6bo4bo59b2o5b2o6bo4bo59b2o5b2o6bo4bo59b2o5b2o6bo4bo59b
2o5b2o6bo4bo59b2o5b2o6bo4bo$4b2o5b2o7bo3bo59b2o5b2o7bo3bo59b2o5b2o7bo
3bo59b2o5b2o7bo3bo59b2o5b2o7bo3bo59b2o5b2o7bo3bo59b2o5b2o7bo3bo59b2o5b
2o7bo3bo59b2o5b2o7bo3bo59b2o5b2o7bo3bo$11b2o78b2o78b2o78b2o78b2o78b2o
78b2o78b2o78b2o78b2o$4b6ob2o8b2o61b6ob2o8b2o61b6ob2o8b2o61b6ob2o8b2o
61b6ob2o8b2o61b6ob2o8b2o61b6ob2o8b2o61b6ob2o8b2o61b6ob2o8b2o61b6ob2o8b
2o$4b6ob2o71b6ob2o71b6ob2o71b6ob2o71b6ob2o71b6ob2o71b6ob2o71b6ob2o71b
6ob2o71b6ob2o!

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

Re: Synthesising Oscillators

Post by mniemiec » May 4th, 2022, 2:03 pm

"very" reported a new bizarre 24-bit P2 in a soup on the Discord yesterday.
From the soup, I was able to develop a 19-glider Rube-Goldberg synthesis:

Code: Select all

x = 283, y = 157, rule = B3/S23
81bobo$82boo$82bo30$160bobo$161boo$161bo$$180bobo$147bobo30boo79bo$
148boo31bo78bo$148bo111b3o$257boo$158bo98boo$159bo$157b3o$119bo$120boo
$119boo3$187bobo$187boo72bo$188bo61boo9bo$250boobboo5bo$254bobo$254bo
3$235boo38boo$235bobo37bobo$44boo104boo23bo$44boo104boo22boo61bobo37bo
bo$174bobo60bob3o35bob3o$235b3o4bo32b3o4bo$234bo3bobobo31bo3bobobo$
234boobooboo32boobooboo$$bo$bbo7bobo34boo104boo$3o7boo35boo104boo$4bob
o4bo$4boo$5bo$156b3o3$55bo$54boo$54bobo$50boo$51boo$50bo8$217b3o$217bo
$218bo5$185boo$184boo$186bo$$122bo$122boo$121bobo53$62boo$63boo$62bo!

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Synthesising Oscillators

Post by Kazyan » May 6th, 2022, 2:55 pm

Last steps for a p6:

Code: Select all

x = 124, y = 31, rule = B3/S23
4bobo57bobo47bobo$4b2obo56b2obo46b2obo$7bo59bo8bo40bo$4b2obob2o53b2obo
b2o4bo38b2obob2o$4bobobobo53bobobobo4b3o36bobobobo$6bobo57bobo47bobo$
5b2ob2o55b2ob2o45b2ob2o$5bo7b3o49bo5b2o42bo$2b2obo9bo46b2obo7bo38b2obo
$bobob2o7bo46bobob2o3bo40bobob2o4bo$bo59bo9b2o38bo7bobo$2o14b2o42b2o
13bo34b2o8bobo$15b2o57bo45bo$17bo56b3o$22bo$21b2o42b2o4b3o44b2o$21bobo
42b2o3bo46bobo$65bo6bo34b2o9bo$61b2o43bobo$31b2o27bobo45bo$31bobo28bo$
31bo80bo$111b2o$111bobo5$122bo$121b2o$121bobo!
Putting together the base still life could probably be done automatically by transfer.py.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

User avatar
wwei47
Posts: 1653
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » May 8th, 2022, 11:36 am

Kazyan wrote:
May 6th, 2022, 2:55 pm
Last steps for a p6:

Code: Select all

x = 124, y = 31, rule = B3/S23
4bobo57bobo47bobo$4b2obo56b2obo46b2obo$7bo59bo8bo40bo$4b2obob2o53b2obo
b2o4bo38b2obob2o$4bobobobo53bobobobo4b3o36bobobobo$6bobo57bobo47bobo$
5b2ob2o55b2ob2o45b2ob2o$5bo7b3o49bo5b2o42bo$2b2obo9bo46b2obo7bo38b2obo
$bobob2o7bo46bobob2o3bo40bobob2o4bo$bo59bo9b2o38bo7bobo$2o14b2o42b2o
13bo34b2o8bobo$15b2o57bo45bo$17bo56b3o$22bo$21b2o42b2o4b3o44b2o$21bobo
42b2o3bo46bobo$65bo6bo34b2o9bo$61b2o43bobo$31b2o27bobo45bo$31bobo28bo$
31bo80bo$111b2o$111bobo5$122bo$121b2o$121bobo!
Putting together the base still life could probably be done automatically by transfer.py.
transfer.py? What's that? :lol:

Code: Select all

x = 514, y = 49, rule = B3/S23
192bobo$193b2o$193bo55bobo$250b2o$250bo6$bo9bobo67bobo67bobo67bobo67bo
bo67bobo67bobo67bobo$2b2o7b2obo66b2obo66b2obo66b2obo66b2obo66b2obo66b
2obo66b2obo$b2o11bo69bo69bo69bo69bo69bo69bo69bo$11b2obob2o63b2obob2o
63b2obob2o63b2obob2o63b2obob2o63b2obob2o63b2obob2o63b2obob2o$6bo4bobob
obo63bobobobo63bobobobo63bobobobo63bobobobo63bobobobo63bobobobo63bobob
obo$4bobo6bobo67bobo67bobo67bobo67bobo67bobo67bobo67bobo$5b2o5b2ob2o
65b2ob2o48bo16b2ob2o65b2ob2o65b2ob2o65b2ob2o65b2ob2o65b2ob2o6bo$82bo
53bo15bo57bo11bo69bo69bo69bo69bo8b2o$79b2obo51b3o13bobo56bobo7b2obo66b
2obo66b2obo66b2obo66b2obo9b2o$78bo2bo68b2o57bobo7b2ob2o65b2ob2o65b2ob
2o65b2ob2o65b2ob2o$79b2o129bo$3o216b2ob2o65b2ob2o65b2ob2o$2bo216b2ob2o
65b2ob2o65b2ob2o135b2o$bo156b3o41b2o68b2o224bo2bo$9b2o126bo22bo41b2o
68b2o224bo2bo$10b2o9b2o48b3o63b2o20bo8b2o329b2o$9bo11bobo49bo56b2o4bob
o28b2o263b2o$21bo50bo56bobo37bo251b3o7b2o56b2o$131bo291bo9bo56b2o16b3o
$422bo66bo18bo$166b2o341bo$166bobo329b2o$166bo331bobo$498bo5$163bo$
162b2o$162bobo5bo$169b2o$169bobo$140b3o237bo$142bo236b2o$141bo237bobo$
163b3o$163bo$164bo!
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
iNoMed
Moderator
Posts: 611
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » May 8th, 2022, 2:14 pm

The entire thing, with cleaner object addition:

Code: Select all

x = 592, y = 43, rule = B3/S23
3bo$bobo$2b2o11bobo$16b2o$16bo$28bobo$o27b2o$b2o26bo$2o4$74bobo39bobo
51bobo59bobo53bobo58bobo49bobo44bobo68bobo60bobo$23bo50b2obo38b2obo50b
2obo58b2obo52b2obo57b2obo48b2obo43b2obo67b2obo59b2obo$21bobo53bo41bo
53bo61bo55bo60bo51bo46bo70bo8bo53bo$22b2o50b2obobo36b2obob2o40bo6b2obo
b2o55b2obob2o49b2obob2o54b2obob2o45b2obob2o40b2obob2o64b2obob2o4bo51b
2obob2o$74bobob2o4bo31bobobobo41b2o4bobobobo55bobobobo49bobobobo54bobo
bobo45bobobobo40bobobobo64bobobobo4b3o49bobobobo$27bo48bo6bo34bo2bo41b
2o7bobo59bobo53bobo8bo49bobo49bobo44bobo68bobo60bobo$28b2o45b2o6b3o31b
2o52b2ob2o57b2ob2o51b2ob2o5b2o49b2ob2o47b2ob2o42b2ob2o66b2ob2o58b2ob2o
$27b2o139bo64bo55bo10b2o48bo51bo46bo7b3o60bo5b2o55bo$79b3o38b2o40b3obo
bo61b2obo53bobo57b2obo48b2obo43b2obo9bo57b2obo7bo51b2obo$81bo37bobo42b
o2b2o60bo2bo54b2o58b2ob2o47b2ob2o41bobob2o7bo57bobob2o3bo53bobob2o4bo$
26b2o52bo40bo41bo66b2o213bo70bo9b2o51bo7bobo$27b2o142b2o271b2o14b2o53b
2o13bo47b2o8bobo$26bo96b2o47b2o3b2o222b2o56b2o68bo58bo$122b2o47bo5bobo
44b3o174b2o58bo67b3o$124bo52bo48bo68b2o169bo$225bo69bobo48b3o45b2o12b
2o55b2o53b2o4b3o57b2o$26b2o267bo52bo44bobo12bobo54bobo53b2o3bo59bobo$
25bobo252b2o65bo6b2o39bo12bo111bo6bo47b2o9bo$27bo253b2o10bo60bobo42bo
116b2o56bobo$280bo12b2o59bo44b2o74b2o38bobo58bo$292bobo103bobo8b2o64bo
bo39bo$409bobo63bo104bo$409bo169b2o$4b3o572bobo$6bo$5bo3$590bo$589b2o$
589bobo!

Code: Select all

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

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Hdjensofjfnen
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Re: Synthesising Oscillators

Post by Hdjensofjfnen » May 9th, 2022, 1:17 pm

mniemiec wrote:
May 4th, 2022, 2:03 pm
"very" reported a new bizarre 24-bit P2 in a soup on the Discord yesterday.
From the soup, I was able to develop a 19-glider Rube-Goldberg synthesis:
There are also the following stator variants, also 24 bits, that may be more difficult to synthesize:

Code: Select all

x = 45, y = 10, rule = B3/S23
15bo11bo$14bobo9bobo9b2o$2o2b2obo5bo2bo8bo2bo9bo2bo$o3bob2o4bo3b2o6bo
3b2ob2o7b2o$b3o9b3o9b3o4bo3b4o$3bob2obo6bob3o7bob3o4bo2bob3o$5bob2o8bo
2bo8bo11bo2bo$2bobo9bobo2b2o5bobo9bobo2b2o$bo11bo11bo11bo$b2o10b2o10b
2o10b2o!
EDIT: It would probably be easiest to start with a base still life:

Code: Select all

x = 39, y = 13, rule = B3/S23
3bo14bo14bo$2bobo12bobo12bobo$bo2bo11bo2bo11bo2bo$o3b2ob2o6bo3b2ob2o6b
o3b2ob2o$b3o4bo7b3o4bo7b3o4bo$3bob3o10bob3o10bob3o$3bobo7bo4bobo14bo$
4bo7bo2bo3bo12bobo$12bo2bo2b3o10bo$3b2obo7bobo2b2o10b2o$5bo8bobo2b2o$
20b2o$5b2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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