## Synthesising Oscillators

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Kazyan
Posts: 923
Joined: February 6th, 2014, 11:02 pm

### Re: Synthesising Oscillators

mniemiec wrote:
October 13th, 2019, 7:22 am
48P9 from 22 gliders:

Code: Select all

``````x = 133, y = 47, rule = B3/S23
101bo\$101bobo\$76bo24boo\$74bobo\$75boo\$79bobo\$80boo19bo\$80bo18boo\$100boo
\$69bobo8bo\$70boo9bo\$70bo8b3o4\$122boo\$121bobo\$90bo30b3o\$90bobo38boo\$90b
oo30boo7bo\$3bo38bo31bo7bo38b4o4bobo\$bbo38bobo30boo5bobo37bo3bo3boo\$bb
3o36boo30bobo5boo43bo\$123bobbo\$bo39boo38boo9b3o31bo\$oo39bobo37bobo8bo
28bo3bo3boo\$obo4bo34bo39bo10bo27b4o4bobo\$6boo114boo7bo\$6bobo122boo\$
121b3o\$65b4o52bobo\$64bo3bo53boo\$68bo\$64bobbo\$\$79b3o\$81bo\$80bo\$100boo\$
80bo18boo\$65bo14boo19bo\$65boobb3o7bobo\$64bobo4bo3boo\$70bo3bobo\$76bo24b
oo\$101bobo\$101bo!
``````
Reduction to 18:

Code: Select all

``````x = 128, y = 44, rule = B3/S23
76bo\$74bobo\$75b2o3\$82bo\$83b2o\$82b2o43bo\$120bo4b2o\$119bo6b2o\$119b3o6\$
99bobo\$91bobo6b2o\$92b2o6bo9bo\$92bo15b2o\$88b3o18b2o\$90bo\$89bo\$7bobo\$7b
2o\$8bo\$bo\$2bo32bo60bo\$3o33bo4bo3bo49bobo3bo3bo\$5bobo26b3o3bobobobo48bo
2bobobobobo\$5b2o34b2ob2o50b2o3b2ob2o\$6bo29b2o79bo3b2o\$36bobo77b2o3bobo
\$36bo79bobo2bo3\$124b2o\$103b2o18b2o\$102bobo20bo\$104bo2\$117b2o\$117bobo\$
117bo!``````
EDIT: 17 will work as well. Now all we need is some elaborate <7G way to make the constellation.

Code: Select all

``````x = 173, y = 34, rule = B3/S23
116bo53bo\$114bobo53bobo\$115b2o53b2o3\$122bo41bo\$123b2o37b2o\$122b2o39b2o
9\$140bo\$131bobo7b2o10bobo\$132b2o6b2o11b2o\$132bo15bobo3bo\$128b3o17b2o6b
3o\$130bo18bo6bo\$129bo27bo\$7bobo\$7b2o\$8bo\$bo\$2bo32bo40bo14bo44bo13bo\$3o
33bo4bo3bo29bobo3bo3bo4bo44bobo3bo3bo3bobo\$5bobo26b3o3bobobobo28bo2bob
obobobo3b3o42bo2bobobobobobo2bo\$5b2o34b2ob2o30b2o3b2ob2o50b2o3b2ob2o3b
2o\$6bo29b2o51b2o\$36bobo49bobo\$36bo53bo!``````
Tanner Jacobi

Entity Valkyrie 2
Posts: 341
Joined: February 26th, 2019, 7:13 pm

### Re: Synthesising Oscillators

Freywa wrote:
June 10th, 2019, 1:05 am
p226 counterpart, which was uploaded to LifeWiki as an image:

Code: Select all

``````x = 742, y = 66, rule = B3/S23
610bo\$611b2o\$610b2o6\$618bo107bo\$371bo7bo142bo5bo83bobo3bobo104bobo
\$372b2o5bobo139bo5bo85b2o3b2o106bo\$371b2o6b2o140b3o3b3o83bo\$375bo\$
376b2o125b2o120b2o104b2o\$58b2o79b2o109b2o104b2o17b2o101b2o23b2o95b
2o23b2o79b2o23b2o\$59bo80bo110bo105bo121bo41b2o78bo31b2o72bo31b2o\$
11bo47bobo78bobo108bobo103bobo119bobo38b2o79bobo29bo73bobo29bo\$11b
2o47b2o79b2o109b2o104b2o120b2o40bo79b2o27bobo74b2o27bobo\$10bobo
490b2o120b2o4b2o98b2o4b2o\$15b3o485b2o120b2o104b2o\$15bo\$16bo113b2o
109b2o104b2o120b2o120b2o104b2o\$131bo110bo105bo121bo121bo105bo\$49bo
81bobo43bo64bobo103bobo119bobo119bobo103bobo\$49b2o81b2o33bobo7bobo
63b2o34b2obo66b2o34b2obo82b2o34b2obo82b2o34b2obo66b2o34b2obo\$48bob
o117b2o7b2o100b2ob3o100b2ob3o116b2ob3o116b2ob3o100b2ob3o\$53b3o112b
o116bo60b2o19b2o22bo76b2o19b2o22bo5b2o69b2o19b2o22bo60b2o15bo3b2o
22bo\$53bo46bobo176b2ob3o61b2o19b2o16b2ob3o77b2o19b2o16b2ob3o5b2o
70b2o19b2o16b2ob3o61b2o15b2o2b2o16b2ob3o\$54bo46b2o177bobo103bobo
119bobo9bo109bobo79bobo21bobo\$101bo7bo57b2o70bo40bobo103bobo119bob
o119bobo103bobo\$108bo57b2o7b3o62bo26bo13bo105bo121bo121bo105bo\$
108b3o57bo6bo62b3o20bo4b2o\$176bo57b2o23b2o5bobo\$97bo129bobo5b2o23b
2o\$98bo6bo57b3o62b2o4bo20b3o\$96b3o7b2o57bo48bo13bo26bo64bo121bo
121bo105bo\$105b2o57bo7bo40bobo40bo62bobo119bobo119bobo103bobo\$57bo
113b2o40bobo103bobo109bo9bobo119bobo103bobo\$58bo112bobo37b3ob2o
100b3ob2o16b2o19b2o70b2o5b3ob2o16b2o19b2o77b3ob2o16b2o19b2o61b3ob
2o16b2o19b2o\$56b3o46bo104bo105bo22b2o19b2o69b2o5bo22b2o19b2o76bo
22b2o19b2o60bo22b2o19b2o\$61bobo31b2o7b2o105b3ob2o100b3ob2o116b3ob
2o116b3ob2o100b3ob2o\$61b2o31bobo7bobo33b2o71bob2o34b2o66bob2o34b2o
82bob2o34b2o82bob2o34b2o66bob2o34b2o\$62bo33bo43bobo108bobo103bobo
119bobo119bobo103bobo\$142bo110bo105bo121bo121bo105bo\$bo140b2o109b
2o104b2o120b2o120b2o104b2o\$2bo\$3o444b2o120b2o104b2o\$5bobo439b2o
114b2o4b2o98b2o4b2o\$5b2o43b2o79b2o109b2o104b2o79bo40b2o90bobo27b2o
74bobo27b2o\$6bo43bobo78bobo108bobo103bobo79b2o38bobo89bo29bobo73bo
29bobo\$52bo80bo110bo105bo78b2o41bo88b2o31bo72b2o31bo\$52b2o79b2o
109b2o85b2o17b2o95b2o23b2o95b2o23b2o79b2o23b2o\$330b2o115b2o120b2o
104b2o\$332bo\$327b2o6b2o85b3o3b3o\$326bobo5b2o88bo5bo\$328bo7bo86bo5b
o6\$680bo6bo\$674b2o3b2o5b2o\$673bobo3bobo4bobo\$675bo!``````
Nope, need extra glider, since the internal glider of the Boojum reflector is let out by the beehive been hit by a different glider (see ringed glider in last step):

Code: Select all

``````x = 742, y = 66, rule = B3/S23
610bo\$611b2o\$610b2o6\$618bo107bo\$371bo7bo142bo5bo83bobo3bobo104bobo\$
372b2o5bobo139bo5bo85b2o3b2o106bo\$371b2o6b2o140b3o3b3o83bo\$375bo\$376b
2o125b2o120b2o104b2o\$58b2o79b2o109b2o104b2o17b2o101b2o23b2o95b2o23b2o
79b2o23b2o\$59bo80bo110bo105bo121bo41b2o78bo31b2o72bo31b2o\$11bo47bobo
78bobo108bobo103bobo119bobo38b2o79bobo29bo73bobo29bo\$11b2o47b2o79b2o
109b2o104b2o120b2o40bo79b2o27bobo74b2o27bobo\$10bobo490b2o120b2o4b2o98b
2o4b2o\$15b3o485b2o120b2o104b2o\$15bo\$16bo113b2o109b2o104b2o120b2o120b2o
104b2o\$131bo110bo105bo121bo121bo105bo\$49bo81bobo43bo64bobo103bobo119bo
bo119bobo103bobo\$49b2o81b2o33bobo7bobo63b2o34b2obo66b2o34b2obo82b2o34b
2obo82b2o34b2obo66b2o34b2obo\$48bobo117b2o7b2o100b2ob3o100b2ob3o116b2ob
3o116b2ob3o100b2ob3o\$53b3o112bo116bo60b2o19b2o22bo76b2o19b2o22bo5b2o
69b2o19b2o22bo60b2o15bo3b2o22bo\$53bo46bobo176b2ob3o61b2o19b2o16b2ob3o
77b2o19b2o16b2ob3o5b2o70b2o19b2o16b2ob3o61b2o15b2o2b2o16b2ob3o\$54bo46b
2o177bobo103bobo119bobo9bo109bobo79bobo21bobo\$101bo7bo57b2o70bo40bobo
103bobo119bobo119bobo103bobo\$108bo57b2o7b3o62bo26bo13bo105bo121bo121bo
105bo\$108b3o57bo6bo62b3o20bo4b2o\$176bo57b2o23b2o5bobo\$97bo129bobo5b2o
23b2o\$98bo6bo57b3o62b2o4bo20b3o\$96b3o7b2o57bo48bo13bo26bo64bo121bo121b
o105bo\$105b2o57bo7bo40bobo40bo62bobo119bobo119bobo103bobo\$57bo113b2o
40bobo103bobo109bo9bobo119bobo103bobo\$58bo112bobo37b3ob2o100b3ob2o16b
2o19b2o70b2o5b3ob2o16b2o19b2o77b3ob2o16b2o19b2o61b3ob2o16b2o19b2o\$56b
3o46bo104bo105bo22b2o19b2o69b2o5bo22b2o19b2o76bo22b2o19b2o60bo22b2o19b
2o\$61bobo31b2o7b2o105b3ob2o100b3ob2o116b3ob2o116b3ob2o100b3ob2o\$61b2o
31bobo7bobo33b2o71bob2o34b2o66bob2o34b2o82bob2o34b2o82bob2o34b2o66bob
2o34b2o\$62bo33bo43bobo108bobo103bobo119bobo119bobo103bobo\$142bo110bo
105bo121bo121bo105bo\$bo140b2o109b2o104b2o120b2o120b2o104b2o\$2bo\$3o444b
2o120b2o104b2o9bobo\$5bobo439b2o114b2o4b2o98b2o4b2o8bo3bo\$5b2o43b2o79b
2o109b2o104b2o79bo40b2o90bobo27b2o74bobo13bo5bo7b2o\$6bo43bobo78bobo
108bobo103bobo79b2o38bobo89bo29bobo73bo14bo7bo6bobo\$52bo80bo110bo105bo
78b2o41bo88b2o31bo72b2o13bo4bo4bo7bo\$52b2o79b2o109b2o85b2o17b2o95b2o
23b2o95b2o23b2o79b2o10b2o11b2o\$330b2o115b2o120b2o104b2o5bo3bobo3bo\$
332bo350bo7bo\$327b2o6b2o85b3o3b3o253bo5bo\$326bobo5b2o88bo5bo254bo3bo\$
328bo7bo86bo5bo256bobo6\$680bo6bo\$674b2o3b2o5b2o\$673bobo3bobo4bobo\$675b
o!

``````
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

Could've sworn I saw a 2G component earlier with the right clearance for this:

Code: Select all

``````x = 12, y = 36, rule = B3/S23
3b2ob2o\$3b2obobo\$8bo\$3b3o2b2o\$2bobobobo2bo\$2bo2bobo2b2o\$b2obobo\$o2bobo
\$2obo\$3bo2bo\$3bo3bo\$4b3o2\$2b3ob3o\$bo2bobo2bo\$b2o5b2o5\$5bo\$5bobo\$5b2o
11\$5b2o\$4b2o\$6bo!
``````

hkoenig
Posts: 110
Joined: June 20th, 2009, 11:40 am

### Re: Synthesising Oscillators

Three Gliders can easily be made to work--

Code: Select all

``````x=24, y=31
8b2ob2o\$6bo2bobo2bo8bo\$6b2o5b2o6b2o\$22b2o14\$bo\$b2o\$obo9\$19bo\$18b2o\$18bobo!``````

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

hkoenig wrote:
November 13th, 2019, 12:02 am
Three Gliders can easily be made to work--

Code: Select all

``````x=24, y=31
8b2ob2o\$6bo2bobo2bo8bo\$6b2o5b2o6b2o\$22b2o14\$bo\$b2o\$obo9\$19bo\$18b2o\$18bobo!``````
True, but I was asking because Catagolue already has a different 3G:

Code: Select all

``````x = 12, y = 29, rule = B3/S23
3b2ob2o\$3b2obobo\$8bo\$3b3o2b2o\$2bobobobo2bo\$2bo2bobo2b2o\$b2obobo\$o2bobo
\$2obo\$3bo2bo\$3bo3bo\$4b3o2\$2b3ob3o\$bo2bobo2bo\$b2o5b2o4\$2b2o\$3b2o\$2bo2\$
5b2o\$5bobo\$5bo\$b2o\$obo\$2bo!
``````
Now that I think of it however, it's possible I was confusing that component with this similar one found by gmc_nxtman:

Code: Select all

``````x = 11, y = 18, rule = B3/S23
3bobo\$b3ob3o\$o3bo3bo\$obobobobo\$b7o2\$b7o\$obobobobo\$o3bo3bo\$b3ob3o\$3bobo
3\$9bo\$8b2o\$3b3o2bobo\$5bo\$4bo!
``````
P.S. Perhaps we could call these components "moose head" and "caribou head" respectively?

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

Surely there's a cheaper way than this to insert those 4 blocks on the top and bottom?

Code: Select all

``````x = 136, y = 139, rule = B3/S23
35bo\$34bo\$34b3o2\$38b3o\$31bobo4bo\$32b2o5bo\$32bo7\$57bo\$57bobo\$57b2o2\$27b
o\$28b2o\$27b2o12\$obo72bobo\$b2o72b2o\$bo74bo3\$9bo58bo\$7bobo58bobo\$8b2o58b
2o5\$61b2o\$61bobo\$61bo10\$109bo24bo\$110bo22bo\$108b3o22b3o3\$111b2o5b2o4b
2o5b2o\$111b2o5b2o4b2o5b2o3\$113bo4b2o4b2o4bo\$29b2o16b2o63bo4b3o4b3o4bo\$
29b2o16b2o63bo4bobo4bobo4bo\$113bo16bo2\$113bo16bo\$29b2o16b2o63bo4bobo4b
obo4bo\$29b2o16b2o63bo4b3o4b3o4bo\$113bo4b2o4b2o4bo3\$111b2o5b2o4b2o5b2o\$
111b2o5b2o4b2o5b2o3\$108b3o22b3o\$110bo22bo\$109bo24bo10\$16bo\$14bobo\$15b
2o5\$8b2o58b2o\$7bobo58bobo\$9bo58bo3\$bo74bo\$b2o72b2o\$obo72bobo12\$49b2o\$
48b2o\$50bo2\$19b2o\$18bobo\$20bo7\$45bo\$38bo5b2o\$39bo4bobo\$37b3o2\$41b3o\$
43bo\$42bo!
``````

mniemiec
Posts: 1083
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Ian07 wrote:
December 4th, 2019, 5:36 pm
Surely there's a cheaper way than this to insert those 4 blocks on the top and bottom? ...
It's unlikely, given how the pre-pulsars form here (via interchanges), as the interchange predecessors puff out quite a lot, which would interfere with blocks appearing early (so they have to be made at the same time). It might also be possible to edge-shoot the two blocks simultaneously, although none of the ways I know of making those two blocks does that.

It might be possible to use a totally different approach, e.g. using two traditional pulsar predecessors, which might allow at least some of the top and bottom blocks to be in place, or maybe by using glider+still-life traffic-light predecessors.

Entity Valkyrie 2
Posts: 341
Joined: February 26th, 2019, 7:13 pm

### Re: Synthesising Oscillators

All seven variants of P10 TL/Beethoven hassler:

Code: Select all

``````x = 603, y = 79, rule = B3/S23
21bobo8bobo76bobo9bobo76bobo10bobo75bobo9bobo76bobo9bobo76bobo10bobo
75bobo10bobo\$24bo6bo82bo7bo82bo8bo81bo7bo82bo7bo82bo8bo81bo8bo\$24bo6bo
82bo7bo82bo8bo81bo7bo82bo7bo82bo8bo81bo8bo\$21bo2bo6bo2bo76bo2bo7bo2bo
76bo2bo8bo2bo75bo2bo7bo2bo76bo2bo7bo2bo76bo2bo8bo2bo75bo2bo8bo2bo\$22b
3o6b3o78b3o7b3o78b3o8b3o77b3o7b3o78b3o7b3o78b3o8b3o77b3o8b3o13\$o5bo42b
o5bo34bo5bo43bo5bo34bo5bo44bo5bo33bo5bo43bo5bo34bo5bo43bo5bo34bo5bo44b
o5bo33bo5bo44bo5bo\$b2obobo42bobob2o36b2obobo43bobob2o36b2obobo44bobob
2o35b2obobo43bobob2o36b2obobo43bobob2o36b2obobo44bobob2o35b2obobo44bob
ob2o\$2o3b2o42b2o3b2o34b2o3b2o43b2o3b2o34b2o3b2o44b2o3b2o33b2o3b2o43b2o
3b2o34b2o3b2o43b2o3b2o34b2o3b2o44b2o3b2o33b2o3b2o44b2o3b2o3\$12bo30bo
59bo30bo59bo30bo59bo30bo59bo30bo59bo30bo59bo30bo\$13b2o26b2o61b2o26b2o
61b2o26b2o61b2o26b2o61b2o26b2o61b2o26b2o61b2o26b2o\$12b2o28b2o59b2o28b
2o59b2o28b2o59b2o28b2o59b2o28b2o59b2o28b2o59b2o28b2o3\$28bobo88bobo88bo
bo88bobo88bobo88bobo88bobo\$29b2o89b2o89b2o89b2o89b2o89b2o89b2o\$29bo90b
o90bo90bo90bo90bo90bo\$41bobo88bobo88bobo88bobo88bobo88bobo88bobo\$21bo
19b2o69bo19b2o69bo19b2o69bo19b2o69bo19b2o69bo19b2o69bo19b2o\$20bo21bo
68bo21bo68bo21bo68bo21bo68bo21bo68bo21bo68bo21bo\$20b3o88b3o88b3o88b3o
88b3o88b3o88b3o\$18bo90bo90bo90bo90bo90bo90bo\$19bo90bo90bo90bo90bo90bo
90bo\$17b3o88b3o88b3o88b3o88b3o88b3o88b3o6\$17b3o88b3o88b3o88b3o88b3o88b
3o88b3o\$19bo90bo90bo90bo90bo90bo90bo\$18bo90bo90bo90bo90bo90bo90bo\$20b
3o88b3o88b3o88b3o88b3o88b3o88b3o\$20bo21bo68bo21bo68bo21bo68bo21bo68bo
21bo68bo21bo68bo21bo\$21bo19b2o69bo19b2o69bo19b2o69bo19b2o69bo19b2o69bo
19b2o69bo19b2o\$41bobo88bobo88bobo88bobo88bobo88bobo88bobo\$29bo90bo90bo
90bo90bo90bo90bo\$29b2o89b2o89b2o89b2o89b2o89b2o89b2o\$28bobo88bobo88bob
o88bobo88bobo88bobo88bobo3\$12b2o28b2o59b2o28b2o59b2o28b2o59b2o28b2o59b
2o28b2o59b2o28b2o59b2o28b2o\$13b2o26b2o61b2o26b2o61b2o26b2o61b2o26b2o
61b2o26b2o61b2o26b2o61b2o26b2o\$12bo30bo59bo30bo59bo30bo59bo30bo59bo30b
o59bo30bo59bo30bo3\$2o3b2o42b2o3b2o35b2o3b2o42b2o3b2o35b2o3b2o42b2o3b2o
34b2o3b2o43b2o3b2o35b2o3b2o43b2o3b2o33b2o3b2o43b2o3b2o34b2o3b2o44b2o3b
2o\$b2obobo42bobob2o37b2obobo42bobob2o37b2obobo42bobob2o36b2obobo43bobo
b2o37b2obobo43bobob2o35b2obobo43bobob2o36b2obobo44bobob2o\$o5bo42bo5bo
35bo5bo42bo5bo35bo5bo42bo5bo34bo5bo43bo5bo35bo5bo43bo5bo33bo5bo43bo5bo
34bo5bo44bo5bo13\$22b3o6b3o79b3o6b3o79b3o6b3o78b3o7b3o79b3o7b3o77b3o7b
3o78b3o8b3o\$21bo2bo6bo2bo77bo2bo6bo2bo77bo2bo6bo2bo76bo2bo7bo2bo77bo2b
o7bo2bo75bo2bo7bo2bo76bo2bo8bo2bo\$24bo6bo83bo6bo83bo6bo82bo7bo83bo7bo
81bo7bo82bo8bo\$24bo6bo83bo6bo83bo6bo82bo7bo83bo7bo81bo7bo82bo8bo\$21bob
o8bobo77bobo8bobo77bobo8bobo76bobo9bobo77bobo9bobo75bobo9bobo76bobo10b
obo!
``````
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

Entity Valkyrie 2
Posts: 341
Joined: February 26th, 2019, 7:13 pm

### Re: Synthesising Oscillators

Where can I find a list of all 3-glider collisions?
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

wildmyron
Posts: 1329
Joined: August 9th, 2013, 12:45 am

### Re: Synthesising Oscillators

Entity Valkyrie 2 wrote:
December 5th, 2019, 12:37 am
Where can I find a list of all 3-glider collisions?
You can find such a list here: https://conwaylife.com/forums/viewtopic ... 572#p55572

This comes from 2718281828's work to enumerate 3G collisions. The format of the file is one collision per line, each line contains an identifier (which includes the enumeration parameters) and the rle of the corresponding glider collision. There is a small fraction of duplicates in the file, and also a small number of invalid collisions (touching gliders). IIRC, the file also contains all the 2G collisions. If it would be useful to you (or anyone else), I can probably dig out a file I generated with all the collisions converted to Shinjuku's gliderset format. Because this format has a canonical form the duplicates are filtered out.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

mniemiec
Posts: 1083
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Entity Valkyrie 2 wrote:
December 5th, 2019, 12:18 am
All seven variants of P10 TL/Beethoven hassler: ...
The left/right blocks can be made more cheaply:

Code: Select all

``````x = 56, y = 21, rule = B3/S23
6bo\$4boo\$5boo3\$bo\$bbo\$3o33boo16boo\$36boo16boo\$3bo23bobo\$3boo22boo\$bbob
o23bo\$36boo16boo\$29b3o4boo16boo\$29bo\$30bo3\$25boo\$26boo\$25bo!
``````

Entity Valkyrie 2
Posts: 341
Joined: February 26th, 2019, 7:13 pm

### Re: Synthesising Oscillators

mniemiec wrote:
December 5th, 2019, 2:05 am
Entity Valkyrie 2 wrote:
December 5th, 2019, 12:18 am
All seven variants of P10 TL/Beethoven hassler: ...
The left/right blocks can be made more cheaply:

Code: Select all

``````x = 56, y = 21, rule = B3/S23
6bo\$4boo\$5boo3\$bo\$bbo\$3o33boo16boo\$36boo16boo\$3bo23bobo\$3boo22boo\$bbob
o23bo\$36boo16boo\$29b3o4boo16boo\$29bo\$30bo3\$25boo\$26boo\$25bo!
``````
That's because I don't know that these blocks can be synthesized in 3G! That's why I needed the 3G enumeration!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

mniemiec
Posts: 1083
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Entity Valkyrie 2 wrote:
December 5th, 2019, 2:06 am
That's because I don't know that these blocks can be synthesized in 3G! That's why I needed the 3G enumeration!
I have the same 30-glider synthesis of this oscillator from 1997-03-06 (including the 3-glider block pairs), so it's at least that old. Unfortunately, I didn't keep most discoverer metadata back then, so I'm not sure who originally found it.

wildmyron
Posts: 1329
Joined: August 9th, 2013, 12:45 am

### Re: Synthesising Oscillators

Entity Valkyrie 2 wrote:
December 5th, 2019, 2:06 am
That's because I don't know that these blocks can be synthesized in 3G! That's why I needed the 3G enumeration!
In that case you should get the synthesise-constellation Python script from https://github.com/dvgrn/b3s23life/tree ... collisions
Run the script in Golly with just the desired constellation in the current layer and the script will show you all (if any) 3G collisions which produce that constellation.

The synthesise-patt script works similarly for 3G collisions which produce active patterns (matched by population sequence). Follow the links there or in the OP of the "Enumerating Three-Glider Collisions" thread for more information on running the scripts.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

calcyman
Posts: 2117
Joined: June 1st, 2009, 4:32 pm

### Re: Synthesising Oscillators

Entity Valkyrie 2 wrote:
December 5th, 2019, 2:06 am
mniemiec wrote:
December 5th, 2019, 2:05 am
Entity Valkyrie 2 wrote:
December 5th, 2019, 12:18 am
All seven variants of P10 TL/Beethoven hassler: ...
The left/right blocks can be made more cheaply:

Code: Select all

``````x = 56, y = 21, rule = B3/S23
6bo\$4boo\$5boo3\$bo\$bbo\$3o33boo16boo\$36boo16boo\$3bo23bobo\$3boo22boo\$bbob
o23bo\$36boo16boo\$29b3o4boo16boo\$29bo\$30bo3\$25boo\$26boo\$25bo!
``````
That's because I don't know that these blocks can be synthesized in 3G! That's why I needed the 3G enumeration!
Every 3G collision that cleanly produces a small (80x80 if I recall) p1/p2 constellation is in Catagolue, so you can convert that pair of blocks into an apgcode and look up whether there's a synthesis.
What do you do with ill crystallographers? Take them to the mono-clinic!

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

Is there a figure eight synthesis that can be used to insert this for a p232 LCM oscillator? None of the ones on Mark Niemiec's site (nor the 5G one I made earlier) work here:

Code: Select all

``````x = 28, y = 28, rule = B3/S23
15bo\$13b3o\$12bo\$12b2o2\$bo\$obo7b2o\$bo7b3o3b2o\$10b2o3b2o3\$19b2o\$10b2o7b2o5b2o\$b
o7b3o14bo\$obo7b2o12bobo\$bo22b2o\$13b3o3b3o\$13b3o3b3o\$14bo5bo3\$4b3o\$4b3o\$4b3o\$b
3o\$b3o9bo7bo\$b3o8bobo5bobo\$13bo7bo!``````

Sokwe
Moderator
Posts: 1589
Joined: July 9th, 2009, 2:44 pm

### Re: Synthesising Oscillators

Here's an 11-glider synthesis of the 2-fold Eureka based on a soup:

Code: Select all

``````x = 117, y = 43, rule = B3/S23
42bo\$43bo\$41b3o8\$51bo\$52b2o48bo\$51b2o48bo\$101b3o2\$86bo\$87b2o\$7bobo76b
2o\$8b2o\$2bo5bo\$obo73bo4bo\$b2o71b2ob4ob2o\$76bo4bo2\$7b3o\$7bo62b2o\$8bo60b
2o\$71bo2\$54b3o\$56bo48b2o\$55bo48b2o\$106bo8\$114b3o\$114bo\$115bo!``````
It uses a pentadecathlon, two thunderbirds, and two extra gliders to suppress sparks. A cheaper synthesis might possibly be found from this common predecessor:

Code: Select all

``````x = 47, y = 13, rule = B3/S23
bo6bo31b3o\$obo4bobo29bo3bo\$obo4bobo29bo3bo\$bo35b2o5b2o\$6bobo4b3o12b3o
5bo4bo4bo\$5b2o6bo16bo5bo3bobo3bo\$5b2o6b3o12b3o5bo4bo4bo\$37b2o5b2o\$39bo
3bo\$39bo3bo\$40b3o\$37b2o\$37b2o!``````
The reason for this new synthesis is that it reduces the synthesis of the p47 pre-pulsar shuttle to a total of 39 gliders:

Code: Select all

``````x = 153, y = 91, rule = B3/S23
150bo\$75bo74bobo\$76b2o72b2o\$75b2o2\$144bo\$142b2o\$143b2o2\$108bo\$83bo22b
2o7bo\$81bobo23b2o6bobo\$82b2o31b2o3\$98bo\$99b2o\$98b2o33bobo\$128bobo2b2o\$
128b2o4bo\$106bo22bo\$104b2o\$105b2o\$84bobo\$85b2o\$85bo7\$12bo\$10bobo\$11b2o
\$15bo\$15bobo\$15b2o87b2o\$104b2o2\$bo26bo62bo26bo\$obo6b3o6b3o6bobo60bobo
6b3o6b3o6bobo\$bo7bobo6bobo7bo62bo7bobo6bobo7bo17b3o\$9b3o6b3o78b3o6b3o
25bo\$137bo2\$72bo\$9b3o6b3o52bo25b3o6b3o\$bo7bobo6bobo7bo42b3o17bo7bobo6b
obo7bo\$obo6b3o6b3o6bobo60bobo6b3o6b3o6bobo\$bo26bo62bo26bo2\$104b2o\$15b
2o87b2o\$15bobo\$15bo\$11b2o\$10bobo\$12bo7\$124bo\$123b2o\$123bobo\$103b2o\$
104b2o\$80bo22bo\$75bo4b2o\$75b2o2bobo\$74bobo33b2o\$109b2o\$111bo3\$93b2o31b
2o\$92bobo6b2o23bobo\$94bo7b2o22bo\$101bo2\$65b2o\$66b2o\$65bo2\$133b2o\$58b2o
72b2o\$57bobo74bo\$59bo!``````
Jason Summers' p47 traffic light hassler can now be synthesized in a total of 110 gliders:

Code: Select all

``````x = 859, y = 112, rule = B3/S23
351bo\$349bobo\$350b2o5\$355bo\$356b2o\$355b2o4\$409bo\$408bo\$408b3o2\$366bobo
86bo\$367b2o84b2o\$367bo86b2o\$186bo\$187bo\$185b3o2\$445bo\$445bobo\$371bobo
71b2o274bo93bobo3bobo\$372b2o58bobo287bo91bo9bo\$372bo59b2o286b3o91bo9bo
\$433bo380bo2bo3bo2bo\$814b3o5b3o\$723bobo\$402bo320b2o\$400b2o322bo\$401b2o
328bo\$729b2o\$371bo358b2o\$372bo\$40bo329b3o\$38bobo169bobo\$39b2o159bo9b2o
229bo81bo\$11bo7bo61bo7bo61bo7bo41b2o8bo39bo7bo39bo7bo43bo7bo39bo7bo31b
2o50bo7bo22bo16bo7bo43bo7bo39bo7bo43bo7bo39bo7bo43bo7bo39bo7bo\$10bobo
5bobo20bo38bobo5bobo59bobo5bobo39b2o48bobo5bobo37bobo5bobo41bobo5bobo
37bobo5bobo31b2o48bobo5bobo21b3o13bobo5bobo41bobo5bobo37bobo5bobo41bob
o5bobo37bobo5bobo41bobo5bobo37bobo5bobo\$2o9bo7bo9b2o10bobo26b2o9bo7bo
9b2o39b2o9bo7bo9b2o69b2o9bo7bo9b2o28bo7bo32b2o9bo7bo9b2o28bo7bo72b2o9b
o7bo9b2o7bo9b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o21b2o9bo7bo9b2o
17b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o\$bo27bo11b2o28bo27bo41bo
27bo37bo33bo27bo71bo27bo111bo27bo6bobo10bo27bo23bo27bo8bobo8bo27bo23bo
27bo19bo27bo23bo27bo19bo27bo\$bobo23bobo41bobo23bobo41bobo23bobo36bo34b
obo23bobo71bobo23bobo111bobo23bobo7b2o10bobo23bobo23bobo23bobo9b2o8bob
o23bobo23bobo23bobo19bobo23bobo23bobo23bobo19bobo23bobo\$2b2o23b2o43b2o
23b2o43b2o23b2o37b3o33b2o23b2o73b2o23b2o113b2o23b2o21b2o23b2o25b2o23b
2o10bo10b2o23b2o25b2o23b2o21b2o23b2o25b2o23b2o21b2o23b2o\$6bo17bo51bo
17bo51bo17bo81bo17bo32bo11bo36bo17bo32bo11bo76bo17bo29bo17bo33bo17bo
29bo17bo33bo17bo29bo17bo33bo17bo29bo17bo\$6bo17bo51bo17bo9bo41bo17bo9bo
71bo17bo9bo22bo11bo36bo17bo9bo22bo11bo76bo17bo9bo19bo17bo33bo17bo9bo7b
o11bo17bo33bo17bo9bo19bo17bo33bo17bo9bo9bo9bo17bo\$6bo17bo17b2o32bo17bo
8bobo40bo17bo8bobo70bo17bo8bobo70bo17bo8bobo110bo17bo8bobo18bo17bo33bo
17bo8bobo6bo11bo17bo33bo17bo8bobo5b2o11bo17bo33bo17bo8bobo7bobo8bo17bo
\$11b3o3b3o22bobo36b3o3b3o13b2o46b3o3b3o13b2o36bo39b3o3b3o13b2o76b3o3b
3o13b2o116b3o3b3o13b2o24b3o3b3o43b3o3b3o13b2o7bo16b3o3b3o43b3o3b3o13b
2o6b2o16b3o3b3o43b3o3b3o13b2o9b2o13b3o3b3o\$11bobo3bobo22bo38bobo3bobo
61bobo3bobo51bobo37bobo3bobo39b3o3b3o43bobo3bobo39b3o3b3o83bobo3bobo
39bobo3bobo43bobo3bobo39bobo3bobo43bobo3bobo39bobo3bobo43bobo3bobo39bo
bo3bobo\$11b3o3b3o61b3o3b3o61b3o3b3o51b2o38b3o3b3o40bo5bo44b3o3b3o40bo
5bo84b3o3b3o39b3o3b3o43b3o3b3o39b3o3b3o43b3o3b3o39b3o3b3o43b3o3b3o39b
3o3b3o\$294bo17bo\$295bo15bo\$7b2o13b2o53b2o13b2o53b2o13b2o83b2o13b2o29b
3o15b3o33b2o13b2o31b2o13b2o75b2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o35b
2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o\$7b2o13b2o53b2o13b2o53b2o13b2o83b
2o13b2o83b2o13b2o31b2o13b2o75b2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o35b
2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o2\$290b3o21b3o\$11b3o3b3o61b3o3b3o
61b3o3b3o91b3o3b3o32bo7bo5bo7bo36b3o3b3o40bo5bo84b3o3b3o39b3o3b3o43b3o
3b3o39b3o3b3o43b3o3b3o39b3o3b3o43b3o3b3o39b3o3b3o\$11bobo3bobo61bobo3bo
bo22bo38bobo3bobo34b2o55bobo3bobo31bo7b3o3b3o7bo35bobo3bobo39b3o3b3o
83bobo3bobo39bobo3bobo43bobo3bobo39bobo3bobo43bobo3bobo39bobo3bobo43bo
bo3bobo39bobo3bobo\$11b3o3b3o61b3o3b3o22bobo36b3o3b3o13b2o20b2o54b3o3b
3o13b2o76b3o3b3o13b2o116b3o3b3o13b2o24b3o3b3o43b3o3b3o13b2o7bo16b3o3b
3o43b3o3b3o13b2o6b2o16b3o3b3o43b3o3b3o13b2o9b2o13b3o3b3o\$6bo17bo51bo
17bo17b2o32bo17bo8bobo18bo51bo17bo8bobo70bo17bo8bobo110bo17bo8bobo18bo
17bo33bo17bo8bobo6bo11bo17bo33bo17bo8bobo5b2o11bo17bo33bo17bo8bobo7bob
o8bo17bo\$6bo17bo51bo17bo51bo17bo9bo71bo17bo9bo22bo11bo36bo17bo9bo22bo
11bo76bo17bo9bo19bo17bo33bo17bo9bo7bo11bo17bo33bo17bo9bo19bo17bo33bo
17bo9bo9bo9bo17bo\$6bo17bo51bo17bo51bo17bo81bo17bo32bo11bo36bo17bo32bo
11bo25b2o49bo17bo29bo17bo33bo17bo29bo17bo33bo17bo29bo17bo33bo17bo29bo
17bo\$2b2o23b2o43b2o23b2o43b2o23b2o37bo35b2o23b2o73b2o23b2o65b2o46b2o
23b2o21b2o23b2o25b2o23b2o10bo10b2o23b2o25b2o23b2o21b2o23b2o25b2o23b2o
21b2o23b2o\$bobo23bobo41bobo23bobo41bobo23bobo34b2o35bobo23bobo71bobo
23bobo66bo9b2o33bobo23bobo7b2o10bobo23bobo23bobo23bobo9b2o8bobo23bobo
23bobo23bobo19bobo23bobo23bobo23bobo19bobo23bobo\$bo27bo41bo27bo11b2o
28bo27bo26b3o6b2o34bo27bo71bo27bo75b2o34bo27bo6bobo10bo27bo23bo27bo8bo
bo8bo27bo23bo27bo19bo27bo23bo27bo19bo27bo\$2o9bo7bo9b2o39b2o9bo7bo9b2o
10bobo26b2o9bo7bo9b2o27bo41b2o9bo7bo9b2o28bo7bo32b2o9bo7bo9b2o28bo7bo
39bo32b2o9bo7bo9b2o7bo9b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o21b
2o9bo7bo9b2o17b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o\$10bobo5bobo
59bobo5bobo20bo38bobo5bobo36bo52bobo5bobo37bobo5bobo41bobo5bobo37bobo
5bobo81bobo5bobo21b3o13bobo5bobo41bobo5bobo37bobo5bobo41bobo5bobo37bob
o5bobo41bobo5bobo37bobo5bobo\$11bo7bo61bo7bo61bo7bo91bo7bo39bo7bo43bo7b
o39bo7bo83bo7bo22bo16bo7bo43bo7bo39bo7bo43bo7bo39bo7bo43bo7bo39bo7bo\$
109b2o412bo\$108bobo260b3o\$110bo262bo\$372bo72b2o\$445bobo282b2o\$208b3o
189b2o43bo283b2o\$208bo190b2o330bo\$209bo191bo322bo\$195b2o526b2o\$196b2o
525bobo\$195bo618b3o5b3o\$373bo440bo2bo3bo2bo\$373b2o345b3o91bo9bo\$372bob
o347bo91bo9bo\$721bo93bobo3bobo2\$372bo65bo\$372b2o63b2o\$185b3o183bobo63b
obo\$187bo\$186bo216b3o\$403bo35bo\$404bo33b2o\$438bobo2\$396b3o\$360b2o36bo\$
361b2o34bo\$360bo3\$450b2o\$449b2o\$355b2o94bo\$354bobo\$356bo3\$455b2o\$455bo
bo\$455bo!``````
There may be a cheaper way to inject those boats near the end.
-Matthias Merzenich

Entity Valkyrie 2
Posts: 341
Joined: February 26th, 2019, 7:13 pm

### Re: Synthesising Oscillators

46G synthesis of a P30 oscillator:

Code: Select all

``````x = 949, y = 43, rule = B3/S23
649bobo41bo39bo39bo39bo39bo39bo39bo\$650b2o39b3o37b3o37b3o37b3o37b3o37b
3o37b3o\$650bo39bo39bo39bo39bo39bo39bo39bo\$690b2o38b2o38b2o38b2o38b2o
38b2o38b2o\$647b3o\$649bo152bo\$648bo154bo84bo\$801b3o82bobo\$887b2o\$811bo\$
741bo64bo3bo117bo\$740bo66b2ob3o34b2o38b2o38b3o\$740b3o63b2o38bobo37bobo
37b5o\$846b2o38b2o37b2o3b2o\$732bo193b5o\$495bo237bo3bo188bo3bo5b2o\$496b
2o233b3ob2o38b2o38b2o38b2o38b2o30bob2o5bobo\$495b2o87bo151b2o37bobo37bo
bo37bobo37bobo3bo26bob3o6bo\$582bobo191b2o38b2o38b2o38b2ob2o29bo2bo2bo
2bo\$9bo333bobo69bo167b2o3bo311b2o29b2o6bo\$4bobo2bobo34bo39bo39bo39bo
39bo39bo39bo39bo16b2o21bo39bo9b2o28bo39bo39bo39bo19b2o18bo18b2o19bo18b
2o19bo18b2o19bo18b2o19bo18b2o19bo18b2o19bo18b2o19bo18b2o19bo9bobo6b2o\$
5b2o2b2o35bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo15bo21bobo37bo
bo6b2o29bobo37bobo11b2o24bobo37bobo18b2o17bobo16bobo18bobo16bobo18bobo
16bobo18bobo16bobo18bobo16bobo18bobo16bobo18bobo16bobo18bobo16bobo18bo
bo7b2o7bobo\$5bo39bobo37bobo7bo29bobo37bobo37bobo37bobo37bobo37bobo37bo
bo37bobo37bobo37bobo11b2o24bobo37bobo37bobo19bo17bobo19bo17bobo19bo17b
obo19bo17bobo19bo17bobo19bo17bobo19bo17bobo19bo17bobo19bo\$2o45bo39bo8b
2o29bo39bo39bo39bo39bo39bo17b2o20bo39bo15bo10bobo10bo39bo13bo25bo39bo
39bo19b2o18bo19b2o18bo19b2o18bo19b2o18bo19b2o18bo19b2o18bo19b2o18bo19b
2o18bo19b2o\$b2o9b3o80b2o37bo39bo39bo39bo39bo39bo10bobo26bo39bo8bobo8b
2o18bo39bo39bo3b2o34bo3b2o34bo3b2o34bo3b2o34bo3b2o34bo3b2o34bo3b2o34bo
3b2o34bo3b2o34bo3b2o34bo3b2o\$o11bo120bobo37bobo37bobo37bobo37bobo37bob
o9bo27bobo37bobo7b2o10bo17bobo37bobo37bobo3bo33bobo3bo33bobo3bo33bobo
3bo33bobo3bo33bobo3bo33bobo3bo33bobo3bo33bobo3bo33bobo3bo33bobo3bo\$13b
o78b2o3bo34bobo37bobo4bo32bobo37bobo37bobo37bobo37bobo37bobo12bobo22bo
bo37bobo8bo28bobo3bo33bobo3bo33bobo3bo33bobo3bo33bobo3bo33bobo3bo33bob
o3bo33bobo3bo33bobo3bo33bobo3bo33bobo3bo\$93b2ob2o35bo39bo4bo34bo39bo
39bo39bo9bo29bo3bo35bo3bo9b2o24bo3bo35bo3bo4b2o29bo3bo35bo3bo35bo3bo
35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo\$92bo3bobo79b
3o33b3o37b3o10bo26b3o37b3o5b2o30b4o36b4o10bo25b4o36b4o4bobo29b4obo34b
4obo34b4obo34b4obo34b4obo34b4obo34b4obo34b4obo34b4obo34b4obo34b4obo\$
216bo39bo8b2o30bo39bo4bobo85b3o25b2o38b2o38bobo37bobo37bobo37bobo37bob
o37bobo37bobo37bobo37bobo37bobo37bobo\$245bobo18b2o26b3o37b3o37b2o38b2o
14bo23b2o2bobo33b2o2bobo33b2o2bobo33b2o2bobo33b2o2bobo33b2o2bobo33b2o
2bobo33b2o2bobo33b2o2bobo33b2o2bobo33b2o2bobo33b2o2bobo33b2o2bobo\$183b
o62b2o46bo39bo39b2o38b2o15bo22b2o3bo34b2o3bo34b2o3bo34b2o3bo34b2o3bo
34b2o3bo34b2o3bo34b2o3bo34b2o3bo34b2o3bo34b2o3bo34b2o3bo34b2o3bo\$175b
2o6bobo60bo176bo\$174b2o7b2o237b2o80b3o\$176bo3b2o66b2o9b2o82bo78bobo79b
o\$179b2o68b2o8bobo80b2o71bo80b2o7bo\$181bo66bo10bo82bobo70b2o80b2o\$255b
3o156bobo79bo\$257bo\$256bo\$237bo6bo\$237b2o5b2o\$236bobo4bobo!
``````
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

Entity Valkyrie 2
Posts: 341
Joined: February 26th, 2019, 7:13 pm

### Re: Synthesising Oscillators

P45 synthesis:

Code: Select all

``````x = 1323, y = 71, rule = B3/S23
597bo154bobo534b3o\$595bobo154b2o535b3o\$596b2o29bo11bo113bo41bo54bo54bo
54bo54bo54bo66bo66bo85bo\$626bo10b2o156bo54bo54bo54bo54bo54bo66bo66bo
85bo\$626b3o9b2o110b2o42bobo52bobo52bobo52bobo52bobo52bobo64bobo64bobo
84bo\$751b2o42bo54bo54bo54bo54bo54bo66bo66bo84bobo\$750bo4bo39bo54bo54bo
54bo54bo54bo66bo66bo\$754bo40bo54bo54bo54bo54bo54bo66bo66bo\$754b3o38bo
54bo54bo54bo54bo54bo66bo66bo84bobo\$794bobo52bobo52bobo52bobo52bobo52bo
bo64bobo64bobo7bo76bo\$795bo54bo54bo54bo54bo54bo66bo66bo6b2o77bo\$795bo
54bo54bo54bo54bo54bo66bo66bo7b2o76bo\$520bo768b3o\$14bobo504b2o766b3o\$
14b2o504b2o199bo\$15bo38b2o40b2o40b2o40b2o100b2o103b2o40b2o40b2o40b2o
40b2o40b2o74b2o40b2o5b2o33b2o40b2o53b2o53b2o53b2o53b2o53b2o65b2o65b2o\$
3bobo48b2o40b2o40b2o40b2o100b2o103b2o40b2o40b2o40b2o14bo25b2o40b2o74b
2o40b2o4b2o34b2o40b2o53b2o53b2o53b2o53b2o53b2o20bo44b2o65b2o\$4b2o12bo
510bobo86bo107bo370bo194bo2bo\$4bo11b2o30b2o2b4o34b2o2b4o34b2o2b4o34b2o
2b4o94b2o2b4o97b2o2b4o34b2o2b4o34b2o2b4o34b2o2b4o14b2o18b2o2b4o34b2o2b
4o18bo49b2o2b4o34b2o2b4o7b2o25b2o2b4o34b2o2b4o47b2o2b4o47b2o2b4o47b2o
2b4o47b2o2b4o47b2o2b4o19b3o37b2o2b4o59b2o2b4o78b2o2bo2bo\$9b2o6b2o29b2o
2bo2bo34b2o2bo2bo34b2o2bo2bo34b2o2bo2bo94b2o2bo2bo97b2o2bo2bo34b2o2bo
2bo34b2o2bo2bo34b2o2bo2bo34b2o2bo2bo34b2o2bo2bo18b3o47b2o2bo2bo34b2o2b
o2bo8b2o24b2o2bo2bo7b2o25b2o2bo2bo7b2o38b2o2bo2bo7b2o38b2o2bo2bo7b2o
38b2o2bo2bo7b2o38b2o2bo2bo7b2o38b2o2bo2bo7b2o50b2o2bo2bo7b2o50b2o2bo2b
o7b2o69b2o2bo2bo7b2o\$8bobo755b2o40b2o53b2o53b2o53b2o53b2o53b2o65b2o8bo
4bo51b2o8bo4bo70b2o4b2o3bo2bo3b2o\$bo8bo609b2o480b2o54b2ob4ob2o57b2ob4o
b2o74b5o4b5o\$b2o617bobo479bobo55bo4bo61bo4bo76b2o3bo2bo3b2o\$obo8b2o68b
o227bo254b2ob2o37b2ob2o9bo61b2o40b2o40b2o40b2o53b2o53b2o53b2o53b2o53b
2o11bo5bo47b2o40bobo22b2o84b3o\$11bobo68b2o224bo219bobo34bobo39bobo73bo
41bo41bo41bo54bo54bo54bo54bo54bo10b2o54bo41b2o23bo\$11bo69b2o225b3o217b
2o35bobo39bobo73bob2o38bob2o38bob2o38bob2o51bob2o51bob2o51bob2o51bob2o
51bob2o7bobo53bob2o38bo24bob2o\$100bo428bo34b2ob2o37b2ob2o71b2ob2o37b2o
b2o37b2ob2o37b2ob2o50b2ob2o50b2ob2o50b2ob2o50b2ob2o50b2ob2o62b2ob2o62b
2ob2o81b3o\$98b2o28b2ob2o37b2ob2o97b2ob2o100b2ob2o37b2ob2o37b2ob2o37b2o
b2o37b2ob2o37b2ob2o71b2ob2o37b2ob2o37b2ob2o37b2ob2o50b2ob2o50b2ob2o50b
2ob2o50b2ob2o50b2ob2o62b2ob2o62b2ob2o83b3o\$84b2o13b2o27b2obo38b2obo98b
2obo101b2obo38b2obo38b2obo38b2obo19b3o16b2obo38b2obo72b2obo38b2obo38b
2obo38b2obo41bobo7b2obo51b2obo51b2obo51b2obo51b2obo63b2obo63b2obo24bo\$
85b2o4b2o38bo41bo101bo104bo41bo41bo41bo19bo21bo41bo75bo41bo41bo41bo42b
2o10bo54bo54bo54bo54bo66bo66bo23b2o\$84bo6bobo37b2o40b2o100b2o103b2o40b
2o40b2o40b2o19bo20b2o40b2o74b2o40b2o40b2o40b2o35bo5bo11b2o53b2o53b2o
53b2o53b2o65b2o65b2o22bobo58b3o\$91bo635bobo97bobo58bo4bo49bo4bo49bo4bo
49bo4bo61bo4bo61bo4bo76b2o3bo2bo3b2o\$194bobo530b2o99b2o56b2ob4ob2o45b
2ob4ob2o45b2ob4ob2o45b2ob4ob2o57b2ob4ob2o57b2ob4ob2o74b5o4b5o\$194b2o
268b2o40b2o40b2o40b2o74b2o40b2o18bo21b2o40b2o53b2o39bo4bo8b2o39bo4bo8b
2o39bo4bo8b2o39bo4bo8b2o51bo4bo8b2o51bo4bo8b2o66b2o3bo2bo3b2o4b2o\$195b
o88bo2bo101bo2bo28b2o8bo2bo29b2o7bo2bo29b2o7bo2bo29b2o7bo2bo29b2o7bo2b
o63b2o7bo2bo29b2o7bo2bo4bo24b2o7bo2bo2b2o25b2o7bo2bo2b2o38b2o7bo2bo2b
2o38b2o7bo2bo2b2o38b2o7bo2bo2b2o38b2o7bo2bo2b2o38b2o7bo2bo2b2o50b2o7bo
2bo2b2o50b2o7bo2bo2b2o69b2o7bo2bo2b2o\$284b4o101b4o29b2o7b4o38b4o38b4o
38b4o38b4o72b4o38b4o3b2o33b4o2b2o34b4o2b2o25b3o19b4o2b2o47b4o2b2o47b4o
2b2o47b4o2b2o47b4o2b2o59b4o2b2o59b4o2b2o78bo2bo2b2o\$94b3o324bo302bobo
107bo461bo2bo\$94bo189b4o101b2o34b2o4b2o40b2o40b2o40b2o40b2o74b2o40b2o
40b2o40b2o32bo20b2o53b2o53b2o53b2o53b2o65b2o65b2o\$83bo11bo83b2o59bo2bo
40bo2bo101b2o33b2o5b2o40b2o40b2o40b2o40b2o74b2o40b2o40b2o40b2o53b2o53b
2o53b2o53b2o53b2o65b2o65b2o\$83b2o93bobo63bo181bo\$82bobo95bo2b2o55bo3bo
1055b3o\$182b2o6b3o48b4o1055b3o\$184bo5bo835bo54bo66bo57b2o7bo85bo\$191bo
439b2o393bo54bo66bo58b2o6bo85bo\$631bobo391bobo52bobo64bobo56bo7bobo84b
o\$291b2o338bo394bo54bo66bo66bo84bobo\$291bobo673b2o5bo51bo54bo66bo66bo\$
291bo676b2o4bobo49bo54bo66bo66bo\$287b3o677bo6b2o50bo54bo66bo66bo84bobo
\$289bo735bobo52bobo64bobo64bobo84bo\$288bo737bo54bo66bo66bo85bo\$1026bo
54bo66bo66bo85bo\$1300b3o\$969b3o328b3o\$306b2o663bo\$306bobo661bo\$306bo3\$
265b3o\$267bo\$266bo4\$307bo\$306b2o303b3o\$306bobo301bo2bo\$613bo\$613bo\$
610bobo!
``````
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

Forgot to post this a few days ago, but Achim's p144 reduced from 15G to 13G:

Code: Select all

``````x = 76, y = 41, rule = B3/S23
55bobo\$55b2o\$56bo\$46bobo\$47b2o\$9bo37bo\$9b2o4bo\$8bobo2b2o52b2o\$14b
2o51b2o5\$2bo\$obo62bo\$b2o61bobo\$55bobo6bobo\$56b2o7bo\$56bo\$46bobo\$
47b2o\$47bo\$63b2o\$63bobo\$55bo7bo\$55b2o\$54bobo3\$72bo\$70b2o\$56b3o12b
2o\$52bo3bo\$52b2o3bo\$51bobo4\$74b2o\$73b2o\$75bo!
``````

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

Code: Select all

``````x = 40, y = 15, rule = B3/S23
b2o5b2o20b2o5b2o\$b2o5b2o20b2o5b2o2\$17b6o\$bo7bo6bo6bo6bo7bo\$3o5b3o4bo8b
o4b3o5b3o\$o9bo5bo6bo5bo9bo\$b3o3b3o7b6o7b3o3b3o2\$4bobo26bobo4\$b2o5b2o20b
2o5b2o\$b2o5b2o20b2o5b2o!
``````

mniemiec
Posts: 1083
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Ian07 wrote:
December 26th, 2019, 11:59 pm
It can be done with 11 gliders, but I'm sure this can be improved on.

Code: Select all

``````x = 100, y = 31, rule = B3/S23
13bo\$14boo\$13boo\$\$19boo\$19boo\$boo5boo20boo5boo22boo5boo20boo5boo\$boo5b
oo20boo5boo22boo5boo20boo5boo\$\$23boo52b6o\$bo7bo12bobbo4bo7bo22bo7bo6bo
6bo6bo7bo\$3o5b3o4boo6boo4b3o5b3o20b3o5b3o4bo8bo4b3o5b3o\$o9bo3bobbo11bo
9bo20bo9bo5bo6bo5bo9bo\$b3o3b3o5boo13b3o3b3o22b3o3b3o7b6o7b3o3b3o\$\$4bob
o26bobo28bobo26bobo\$\$19boo\$19boo\$boo5boo20boo5boo22boo5boo20boo5boo\$b
oo5boo15boo3boo5boo22boo5boo20boo5boo\$24boo\$26bo6\$31bo\$30boo\$30bobo!
``````

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

mniemiec wrote:
December 27th, 2019, 5:59 am
It can be done with 11 gliders, but I'm sure this can be improved on.
That final step helps, but I still can't find a way to insert that second beehive. I also found a few 3G ways to insert the first block+beehive, but they're invalid. I'm probably missing the obvious here:

Code: Select all

``````#C bottom-left glider would have interacted with bottom-right block of left 34P14
x = 40, y = 23, rule = B3/S23
17bo\$18bo\$16b3o3\$19bobo\$19b2o\$20bo\$b2o5b2o20b2o5b2o\$b2o5b2o20b2o5b2o3\$
bo7bo20bo7bo\$3o5b3o18b3o5b3o\$o9bo18bo9bo\$b3o3b3o20b3o3b3o2\$4bobo10bo
15bobo\$17b2o\$16bobo2\$b2o5b2o20b2o5b2o\$b2o5b2o20b2o5b2o!
``````
Full 3G collisions list:

Code: Select all

``````x = 1313, y = 30, rule = B3/S23
12bo54bo32bo50bo59bo39bo49bo48bo11bo40bo62bo49bobo34bo50bo51bo44bobo
47bobo56bo43bo49bo45bo49bo53bo46bo5bo48bo52bo41bo10bo48bo\$13bo54bo32b
2o48bobo58bo39bo49bo48b2o8b2o41bo59b2o50b2o36bo47b2o51bo46b2o47b2o55b
2o44bobo45bobo46b2o48b2o52b2o45bo5bo48bo52bo41bo10b2o47bo\$b2o8b3o52b3o
31b2o49b2o57b3o37b3o47b3o47b2o9bobo38b3o60b2o50bo34b3o48b2o46bo3b3o44b
o49bo48bo7b2o43b2o47b2o45b2o48b2o52b2o44b3o3b3o46b3o50b3o39b3o9b2o46b
3o\$obo352bo296bo149bo464bo\$2bo148bo203b2o293b3o147b3o152bo49bo53bo206b
2o\$12b2o52b2o84bo60bobo37bobo47bobo48bobo47b3o143b3o50bo349b2o48b2o52b
2o50bo47b2o51b2o54bobo40b2o\$13b2o52b2o81b3o60b2o38b2o48b2o101bo143bo
53bo200bo148b2o48b2o52b2o49b2o47b2o51b2o96bobo\$12bo53bo147bo39bo49bo
100bo145bo50b3o47bo150b2o245b3o55bobo46bo52bo98bo\$652b2o150b2o45bo49bo
150bo148bo\$153b3o495bobo198bo49bo148bo149b2o\$155bo245bo148b2o48b3o98bo
49bo98b3o47b3o297bobo\$154bo245b2o149b2o47bo101bo49bo397b2o149bo\$400bob
o147bo50bo98b3o47b3o102bo49bo245b2o148b2o\$252b2o599b2o48b2o245bo149bob
o\$252bobo599b2o48b2o\$252bo448b2o48b2o\$701bobo47bobo\$201b2o98bo399bo49b
o\$200bobo98b2o148bo49bo\$202bo97bobo149bo49bo447b3o49b3o\$450b3o47b3o
449bo49bo\$951bo51bo\$128bo\$51b2o76bo322b3o47b3o\$50bobo74b3o324bo49bo\$
52bo400bo49bo2\$127b2o\$128b2o\$127bo!
``````

dvgrn
Moderator
Posts: 6151
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Synthesising Oscillators

Ian07 wrote:
December 27th, 2019, 12:07 pm
That final step helps, but I still can't find a way to insert that second beehive.
Meaning, a reasonable way? I think the following recipe can be made to work, but building the B-heptomino might be a little bit expensive... and there's some cleanup needed, and the blocks can't be built until later:

Code: Select all

``````x = 93, y = 38, rule = LifeHistory
60.A\$58.A.A\$59.2A4\$15.A.A\$16.2A\$16.A\$18.B2.B45.B2.B\$18.5B44.5B\$17.BDB
2DB43.BDB2DB\$16.2B3D2B42.2B3D2B\$16.3BDB2D42.3BDB2D\$17.4B2D43.4B2D\$3.
2A5.2A5.5B10.2A5.2A11.2A5.2A5.5B10.2A5.2A\$2.B2AB3.B2AB3.6B9.B2AB3.B2A
B9.B2AB3.B2AB3.6B9.B2AB3.B2AB\$2.3B5.3B3.6B9.3B5.3B9.3B5.3B3.6B9.3B5.
3B\$3.B.B3.B.B4.B2D3B10.B.B3.B.B11.B.B3.B.B4.B2D3B10.B.B3.B.B\$.B3A2B.
2B3AB.BD2BD2B8.B3A2B.2B3AB7.B3A2B.2B3AB.BD2BD2B8.B3A2B.2B3AB\$2BABA2B.
2BABA2B.B2D3B3.2D2.2BABA2B.2BABA2B5.2BABA2B.2BABA2B.B2D3B3.2D2.2BABA
2B.2BABA2B\$.BA2BAB.BA2BAB2.6B2.D2.D2.BA2BAB.BA2BAB7.BA2BAB.BA2BAB2.6B
2.D2.D2.BA2BAB.BA2BAB\$.2B2AB3.B2A2B2.6B3.2D3.2B2AB3.B2A2B7.2B2AB3.B2A
2B2.6B3.2D3.2B2AB3.B2A2B\$.3B2AB.B2A3B3.5B8.3B2AB.B2A3B7.3B2AB.B2A3B3.
5B8.3B2AB.B2A3B\$7B.7B2.5B7.7B.7B5.7B.7B2.5B7.7B.7B\$.6B.6B3.4B9.6B.6B
7.6B.6B3.4B9.6B.6B\$3.B.B3.B.B6.3B2D9.B.B3.B.B11.B.B3.B.B6.3B2D9.B.B3.
B.B\$2.3B5.3B6.2B2D.A6.3B5.3B9.3B5.3B6.2B2D8.3B5.3B\$2.B2AB3.B2AB7.3B3A
5.B2AB3.B2AB9.B2AB3.B2AB7.3B8.B2AB3.B2AB\$3.2A5.2A9.B2ABA6.2A5.2A11.2A
5.2A9.B2.B7.2A5.2A\$22.4B45.4B.A\$23.4B46.2BA.A\$24.3BD45.2BAC\$25.B2DB
45.B2DB\$26.DBD40.B5.DBD\$68.2A\$69.2A\$68.A!``````
So this isn't the obvious method you're looking for (I can't seem to find that, either) but it should produce a working recipe.

Did you look into building the *decathlon and one of the p14 shuttles simultaneously?

Ian07
Posts: 446
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

dvgrn wrote:
December 27th, 2019, 1:47 pm
Meaning, a reasonable way? I think the following recipe can be made to work, but building the B-heptomino might be a little bit expensive... and there's some cleanup needed, and the blocks can't be built until later:

Code: Select all

``RLE``
So this isn't the obvious method you're looking for (I can't seem to find that, either) but it should produce a working recipe.
Thanks. If I haven't made any mistakes here, this should be a complete 57G synthesis:

Code: Select all

``````x = 973, y = 38, rule = B3/S23
452bobo\$453b2o\$453bo3\$112bobo7bobo214bobo7bobo408bo\$112b2o8b2o4bobo
208b2o8b2o4bobo304bo98bo197bo\$113bo9bo4b2o210bo9bo4b2o303b2o97b3o95bo
99b2o\$2bo3bobo120bo58bo3bobo161bo304b2o100b2o91bo101b2o\$obo3b2o178bobo
3b2o569b2o91b3o\$b2o4bo46b2o8b2o38b2o8b2o71b2o4bo62b2o8b2o63b2o8b2o313b
obo195bo97b2o\$54b2o8b2o38b2o8b2o140b2o8b2o63b2o8b2o314b2o3bo192bo96b2o
\$657bo2b2o191b3o78b2o5b2o20b2o5b2o\$162b2o5b2o59b2o5b2o66b2o5b2o130b2o
5b2o20b2o5b2o63b2o5b2o20b2o5b2o78b2o271b2o5b2o20b2o5b2o\$105b2o55b2o5b
2o59b2o5b2o66b2o5b2o18b2o110b2o5b2o20b2o5b2o63b2o5b2o20b2o5b2o57b2o5b
2o20b2o5b2o158b2o5b2o20b2o5b2o\$104bo2bo18bo178b2o5b2o17bo2bo18bo286b2o
5b2o20b2o5b2o69b2o5b2o20b2o5b2o51b2o5b2o20b2o5b2o74b2o\$56b3o46b2o18b2o
131b3o44bo7bo18b2o18b2o393b2o5b2o20b2o5b2o149bo7bo4bo2bo12bo7bo\$56bo
58b2o8bobo34bo7bo59bo7bo19bo44b2ob2o3b2ob2o26b2o8bobo495b2o81b3o5b3o4b
2o6b2o4b3o5b3o\$10b3o30bo13bo56b2o45b3o5b3o24b3o30b3o5b3o19bo43b2ob2o3b
2ob2o25b2o224b2o192b2o73bo7bo4bo2bo12bo7bo59bo9bo11bo2bo3bo9bo\$10bo33b
2o6b3o46bo14bo4b2o38bo9bo24bo32bo9bo14b3o46b2o2bo3bo2b2o12bo14bo4b2o
95b2o3b2o22b2o3b2o65b2o3b2o13bo2bo5b2o3b2o57b3o5b3o12b2o4b3o5b3o68bo7b
o4bo2bo12bo7bo50b3o5b3o4b2o6b2o4b3o5b3o59b3o3b3o13b2o5b3o3b3o\$11bo31b
2o9bo46bo19bobo38b3o3b3o26bo32b3o3b3o17bo47b2obo3bob2o13bo19bobo93b2o
5b2o20b2o5b2o63b2o5b2o13b2o5b2o5b2o56bo2bo3bo2bo11bo2bo3bo2bo3bo2bo67b
3o5b3o4b2o6b2o4b3o5b3o49bo9bo11bo2bo3bo9bo\$53bo47bo19bo133bo49b2o5b2o
14bo19bo94bo2bo3bo2bo18bo2bo3bo2bo61bo2bo3bo2bo18bo2bo3bo2bo56bo7bo13b
2o5bo7bo68bo9bo11bo2bo3bo9bo50b3o3b3o13b2o5b3o3b3o63bobo26bobo\$69bo40b
2o53bobo65bobo35bo34bo5bo24b2o104bobo5bobo18bobo5bobo61bobo5bobo18bobo
5bobo57bobobobo22bobobobo70b3o3b3o13b2o5b3o3b3o\$46bo21bo40bobo158bo65b
obo104b3o5b3o18b3o5b3o61b3o5b3o18b3o5b3o255bobo26bobo81b2o\$46b2o20b3o
40bo12b3o121b2o20b3o65bo12b3o105b2o181b2ob2o24b2ob2o74bobo26bobo170b2o
\$45bobo76bo124b2o100bo108b2o2bo469b2o5b2o20b2o5b2o\$114b2o4b2o3bo36b2o
5b2o59b2o5b2o9bo5bo50b2o5b2o27b2o4b2o3bo91b2o5b2o6bo3b2o8b2o5b2o63b2o
5b2o20b2o5b2o271b3o77b2o5b2o3b2o15b2o5b2o\$65b3o46b2o3bobo40b2o5b2o59b
2o5b2o14b2o12b3o35b2o5b2o27b2o3bobo95b2o5b2o10bobo7b2o5b2o63b2o5b2o20b
2o5b2o58bo5bo22bo5bo159b2o5b2o9bo10b2o5b2o73b2o\$65bo39b2o14bo131bobo
11bo64b2o14bo291b2o5b2o20b2o5b2o69b2o5b2o20b2o5b2o51b2o5b2o10bo9b2o5b
2o72bo\$66bo39b2o160bo64b2o124b2o104b2o180b2o5b2o20b2o5b2o66b3o\$105bo
226bo127b2o103b2o286bo\$111b2o225b2o119bo108b3o281bo\$110b2o225b2o229bo\$
112bo226bo229bo\$941bo\$668bo272b2o\$667b2o271bobo\$667bobo!
``````
Did you look into building the *decathlon and one of the p14 shuttles simultaneously?
I doubt that would work, because the blinker in the p14 shuttle recipe is right on top of where the beehive is supposed to be:

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``````x = 55, y = 29, rule = LifeHistory
36.A.A7.A.A\$36.2A8.2A4.A.A\$37.A9.A4.2A\$53.A2\$28.2A8.2A\$20.2D6.2A8.2A\$
20.2D\$2.2A5.2A\$2.2A5.2A18.2A\$2.2A5.2A17.A2.A18.A\$2.A7.A5.2D11.2A18.2A
\$2A.2A3.2A.2A2.D2.D20.2A8.A.A\$2A.2A3.2A.2A3.2D6.2D12.2A\$2A2.A3.A2.2A