## Synthesising Oscillators

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

### Synthesising Oscillators

To start this thread, here is a 24-glider synthesis of 50P35:
`x = 218, y = 69, rule = B3/S23124bo\$123bo\$123b3o6\$118bobo\$118b2o\$119bo4\$105bo\$103bobo\$104b2o\$108bo\$106b2o\$107b2o2\$172bo\$31bo138b2o\$15bobo11b2o140b2o\$16b2o12b2o110b2o35b2o35b2o\$16bo125bo21bo14bo36bo\$140bobo22b2o10bobo34bobo\$140b2o22b2o11b2o35b2o\$13bo14bo\$14b2o10bobo33b3o34b3o34b3o34b3o26bo2bobo2b3o\$13b2o12b2o3bo170bobobo\$30b2o34b2o35b2o35b2o35b2o22bo12b2o\$13bo17b2o33bobo34bobo34bobo34bobo21b2ob2o8bobo\$13b2o36bo3bo12bo19bo3bo12bo19bo3bo12bo19bo3bo12bo36bo\$12bobo3bobo16b2o12bo3bo12b2o4b2o12bo3bo12b2o4b2o12bo3bo12b2o4b2o12bo3bo12b2o4b2o29b2o\$18b2o18bo12bo3bo19bo12bo3bo19bo12bo3bo19bo12bo3bo19bo\$2o17bo18bobo34bobo34bobo34bobo34bobo8b2ob2o\$b2o36b2o35b2o35b2o35b2o35b2o12bo\$o3b2o12b2o175bobobo\$4bobo10b2o23b3o34b3o34b3o34b3o34b3o2bobo2bo\$4bo14bo\$113b2o35b2o11b2o22b2o\$112bobo34bobo10b2o22bobo\$16bo95bo36bo14bo21bo\$b2o12b2o94b2o35b2o35b2o\$2b2o11bobo138b2o\$bo155b2o\$156bo2\$72b2o\$73b2o\$72bo\$75b2o\$75bobo\$75bo4\$61bo\$61b2o\$60bobo6\$55b3o\$57bo\$56bo!`

Now that was an easy one, since it can be broken down into blinkers and eaters. The question here is how to synthesise other oscillators that aren't that simple, like 24P10 or 48P31. There are two main problems here: (1) how to derive a predecessor of the rotor comprised of still lifes and sparks and (2) how to provide these sparks. After that, assembling the actual synthesis should be easy.

Freywa

Posts: 274
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

This synthesizes the "suspicious object" that I posted in the AD thread:
`x = 90, y = 39, rule = LifeHistory89.A\$87.2A\$88.2A16\$23.A48.A\$6.A17.A46.A\$5.A16.3A10.A32.A2.3A\$5.3A27.A32.A\$.A33.A32.A\$2.A\$3A60.3A\$4.3A29.2A31.2A\$6.A29.2A31.2A\$5.A2\$30.2A\$30.A.A\$30.A\$65.2D\$64.D2.D\$64.D.D\$63.2D.D18.2A\$66.D17.2A\$66.D19.A\$64.3D!`

All that's missing is a suitably placed domino spark (presumably known), and a suitable reaction to generate the preblock (unknown). Then we will have 18P2.420 synthesized.

If the particular preblock synthesis doesn't work out, we can always try starting from gen. 117 of the rightmost section of that pattern. However, I do not currently know how to adequately synthesize that preblinker. (The synthesis I posted requires a collision between a glider and something moving, at about c/2, to the left.)

(BTW, the only way I know of to generate the preblock occurs in the LOM reaction. A ghosted Herschel could also work, if we could modify it somewhat.)
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:Then we will have 18P2.420 synthesized.

I recently tried to make sure I had syntheses for all of the objects in Achim Flammenkamp's "natural objects" lists. I ended up having to create new syntheses for several new ones; the hardest ones were some of the largest P2s. I currently have all except one - Fore and Back. 18P2.420 is one of these, and is totally buildable from existing technology.

Here are the ones I saw on Achim's list that are in the Wiki but I didn't see syntheses for:

`#C Cis beacon and anvil from 22 gliders#C Mark D. Niemiec 2013-06-05x = 139, y = 117, rule = B3/S236bo\$7b2o\$6b2o108bo\$115bo\$115b3o\$113bo\$114bo\$112b3o18b2o\$133b2o2\$15bobo\$16b2o37b2o18b2o18b2o18b2o18b2o\$16bo36b3obo15b3obo15b3obo15b3obo15b3obo\$52bo4bo14bo4bo14bo4bo14bo4bo14bo4bo\$35bo17b4o16b4o16b4o16b4o16b4o\$34bo\$34b3o12bo3b2o14bo3b2o18b2o18b2o18b2o\$32bo15bobo2b2o13bobo2b2o18b2o18b2o18b2o\$31b2o15bobo17bobo\$31bobo15bo19bo\$66b2o\$65bobo\$67bo7\$7b2o\$6bobo\$8bo4\$41b2o\$41bobo\$41bo16\$5bobo\$6b2o\$6bo\$o\$b2o23bo\$2o24bobo\$26b2o8\$13b2o\$13b2o3\$15b2o38bob2o36bob2o19bo16bob2o\$13b3obo13bo4bo16b3obo35b3obo20bobo12b3obo\$12bo4bo14b2obo16bo4bo34bo4bo20b2o12bo4bo\$13b4o14b2o2b3o15b4o18b2o16b4o18b2o16b4o\$75b2o38b2o\$13b2o38b2o38b2o38b2o\$13b2o38b2o38b2o38b2o7\$26b2o\$25b2o\$27bo15\$75bob2o16bob2o16bob2o16bob2o\$73b3obo15b3obo15b3obo15b3obo\$72bo4bo14bo4bo14bo4bo14bo4bo\$73b4o16b4o16b4o16b4o2\$73b2o18b2o18b2o18b2o\$73b2o17bobo17bobo18bo\$92b2o18b2o22bo\$119b2o14b2o\$71b2o2b3o41bobo\$72b2obo31b3o4b2o3bo\$71bo4bo32bo5b2o\$108bo5bo\$72b2o\$72bobo\$72bo!`

The wiki claims to have a synthesis for this, but the file is not there:

`#C 21P2 from 11 gliders (1beacon + 1; trivial)#C Mark D. Niemiec 2013-06-05x = 137, y = 33, rule = B3/S233\$20bo\$18bobo\$19b2o3bobo\$14bobo7b2o\$15b2o8bo\$15bo2\$26bo\$24b2o6bo\$13bo11b2o3b2o70bo\$14bo16b2o70bo\$12b3o31b2o18b2o18b2o13b3o2b2o18b2o\$45bobo17bobo17bobo17bobo19bo\$44bo2bob2o13bo2bob2o13bo2bob2o13bo2bob2o16bob2o\$44b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo\$10bobo32bobo17bobo17bobo17bobo17bobo\$11b2o2bobo27bo2bo16bo2bo16bo2bo16bo2bo16bo2bo\$11bo3b2o29b2o18b2o18b2o18b2o18b2o\$16bo\$28b2o\$27b2o\$29bo2\$44b2o18b2o\$43bo2bo16bo2bo\$44b2o18b2o\$67b3o\$67bo\$68bo!`

`#C 22P2 from 22 gliders (1beacon + 11)#C Mark D. Niemiec 2013-06-05x = 141, y = 75, rule = B3/S2310bo\$8bobo\$9b2o3bobo\$4bobo7b2o\$5b2o8bo\$5bo2\$16bo\$14b2o6bo\$3bo11b2o3b2o\$4bo16b2o\$2b3o31b2o18b2o18b2o38b2o18b2o\$35bobo17bobo17bobo27bo3bo5bobo17bobo\$34bo2bob2o13bo2bob2o13bo2bob2o22bobob2o5bo2bob2o10b2obo2bob2o\$34b2obo2bo13b2obo2bo13b2obo2bo23b2o2b2o4b2obo2bo10b2ob2obo2bo\$obo32bobo17bobo17bobo37bobo17bobo\$b2o2bobo27bo2bo16bo2bo16bo2bo36bo2bo16bo2bo\$bo3b2o29b2o18b2o18b2o38b2o18b2o\$6bo\$18b2o\$17b2o\$19bo2\$34b2o18b2o\$33bo2bo16bo2bo\$34b2o18b2o\$57b3o\$57bo\$58bo28b3o\$89bo\$88bo17\$111bo\$112bo\$110b3o\$114bo\$65bo47bo\$63bobo12bo34b3o\$64b2o11bo\$70bo6b3o\$71b2o38bobo\$70b2o40b2o\$112bo\$69bo\$69b2o\$68bobo64b2o\$36b2o18b2o18b2o16bob2o16bob2o16bo2bo\$35bobo17bobo17bobo16b2obo16b2obo16b2obo\$31b2obo2bob2o10b2obo2bob2o10b2obo2bob2o16bob2o16bob2o16bob2o\$31b2ob2obo2bo10b2ob2obo2bo4b2o4b2ob2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo\$35bobo17bobo6bobo8bobo17bobo17bobo17bobo\$35bo2bo16bo2bo7bo8bo2bo16bo2bo16bo2bo16bo2bo\$36b2o18b2o18b2o18b2o18b2o18b2o\$52b2o18b2o\$31b3o18b2o18b2o\$33bo32b3o\$32bo35bo\$34b3o30bo\$34bo\$35bo!`

`#C 23P2 from 10 gliders (boat + long barge + 5)#C Mark D. Niemiec 2013-05-09x = 104, y = 34, rule = B3/S2379bo\$78bo\$78b3o3\$72bo\$73b2o\$72b2o\$2bo\$bo68bo\$b3o66b2o\$22b2o18b2o18b2o5bobo10b2o18b2o\$bo19bobo17bobo17bobo17bobo13bo2bo2bo\$b2o19bo19bo19bo19bo14b6o\$obo\$60bo19bo18b2o\$59bobo17bobo18bo\$39b2o3bo13bobo17bobo16bo\$40b2obo13bobo17bobo17b2o\$39bo3b3o12bo19bo3\$44b2o\$43b2o\$45bo4\$90b2o\$89b2o\$91bo\$69b2o\$70b2o\$69bo!`

`#C 24P2/18P2.420 from 15 gliders (21P2 + snake-to-shillelagh; trivial)#C Mark D. Niemiec 2013-06-05x = 161, y = 29, rule = B3/S2310bo\$8bobo\$9b2o3bobo115bo\$4bobo7b2o115bo\$5b2o8bo115b3o5bobo\$5bo133b2o\$140bo\$16bo\$14b2o6bo109b2o7b2o\$3bo11b2o3b2o70bo40b2o5b2o\$4bo16b2o70bo38bo9bo12b2o\$2b3o31b2o18b2o18b2o13b3o2b2o18b2o18b2o17bobo\$35bobo17bobo17bobo17bobo19bo19bo19bo\$34bo2bob2o13bo2bob2o13bo2bob2o13bo2bob2o16bob2o16bob2o16bob2o\$34b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo\$obo32bobo17bobo17bobo17bobo17bobo17bobo17bobo\$b2o2bobo27bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo\$bo3b2o29b2o18b2o18b2o18b2o18b2o18b2o18b2o\$6bo\$18b2o\$17b2o\$19bo2\$34b2o18b2o\$33bo2bo16bo2bo\$34b2o18b2o\$57b3o\$57bo\$58bo!`

`#C 18P2.471 from 39 gliders#C Mark D. Niemiec 2013-06-05x = 129, y = 89, rule = B3/S2353bo\$53bobo\$53b2o54bo\$109bobo\$52bo56b2o\$50bobo54bo\$51b2o52bobo\$106b2o\$45bo15bo\$46bo13bo47bo\$44b3o13b3o43b2o\$23bo29bo53b2o\$22bobo27bobo28bo19bo19bo\$b2o2b3o14bobo27bobo27bobo17bobo17bobo\$obo2bo17bo29bo28bobo17bobo4bo12bobo\$2bo3bo74b2ob2o15b2ob2ob2o12b2ob2o\$23bo29bo28bobo17bobo3b2o12bobo\$3b2o17bobo12b2o5b3o5bobo5b3o5b2o12bobo17bobo17bo2bo\$3bobo17bo14b2o6bo6bo6bo6b2o14bo19bo19b2o\$3bo33bo7bo15bo7bo38bo\$108bobo\$105bo2b2o\$104b2o\$104bobo8\$53bo\$51b2o\$48bo3b2o\$46bobo7bo8bo6bo\$47b2o7bobo4b2o5b2o\$56b2o6b2o5b2o6\$13bo19bo19bo29b2o18b2o18b2o\$12bobo17bobo17bobo12b3o12bobo17bobo17bobo2b2o\$12bobo8bo8bobo17bobo12bo14bobob2o14bobob2o14bobobobo\$11b2ob2o5b2o8b2obob2o13b2obob2o4b3o3bo12b2obobo14b2obobo14b2obobo\$12bobo3b2o2b2o8bobo2bo14bobo2bo4bo19bobobo15bobobo15bobobo\$12bo2bo2bobo11bo2bo16bo2bo7bo18bo2bo16bo2bo5bo10bo2bo\$13b2o3bo14b2o18b2o28b2o18b2o5bo12b2o\$65b2o43b3o\$65bobo\$65bo43b2o3b2o\$108bobo3bobo\$110bo3bo11\$106bo\$104bobo\$68bo36b2o\$66bobo43bo\$67b2o43bobo\$73bo38b2o\$71b2o\$72b2o\$63b2o10b2o6b2o3bo14b2o3bo14b2o\$62bobo2b2o6bobo4bobo2bobo12bobo2bobo12bobo\$62bobobobo6bo6bobobobo13bobobobo13bobob2o\$61b2obobo14b2obobo14b2obobo14b2obo2bo\$62bobobo15bobobo15bobobo15bobo\$62bo2bo16bo2bo16bo2bo4bobo9bo2bo\$63b2o18b2o18b2o5b2o11b2o\$111bo2\$112b3o\$112bo\$106bo6bo\$106b2o\$105bobo\$112bo\$111b2o\$111bobo!`

`#C 26P2 from 41 gliders#C Mark D. niemiec 2013-06-05x = 162, y = 83, rule = B3/S2396bobo\$96b2o\$93bo3bo\$87bobob2o\$67bo12b2o6b2o2b2o6b2o18b2o18b2o18b2o\$53bo12bo12bobo6bo10bobo17bobo17bobo17bobo\$54bo11b3o6b2o2bo15b2o2bo14bobo2bo14bobo2bo14bobo2bo\$52b3o7b3o10bobob2o14bobob2o13b2obob2o13b2obob2o13b2obob2o\$48b3o11bo14bo19bo19bo19bo19bo\$50bo12bo11bobo17bobo16b2obo16b2obo16b2obo\$49bo25b2o18b2o17bobo17bobo17bobo\$88bo26bo19bo19bo\$65b3o20b2o2b2o\$65bo21bobob2o22bo19bo\$66bo26bo20bobo17bobo\$96b3o15b2o18b2o\$96bo40b3o\$97bo39bo\$138bo6\$60bo\$59bo\$20bo38b3o78bo\$19bo17bo19bo83bo\$19b3o2bobo9bobo17bobo80b3o\$10bo5bo7b2o10bobo17bobo84bo\$11bo5b2o6bo11bo3b2o14bo3b2o38bobo39bobo3bo\$9b3o4b2o23b2o18b2o39b2o39b2o3bo\$102bo45b3o\$104bo\$20b2o81bo\$19bobo81b3o\$6b3o5bobo2bo14bob2ob2o13bob2ob2o13bob2ob2o13bob2ob2o13bob2ob2o13bob2ob2o13bob2o\$8bo5b2obob2o13b2obob2o13b2obob2o13b2obob2o13b2obob2o13b2obobobo12b2obobobo12b2obo\$7bo9bo19bo19bo19bo19bo6bo12bo2bo16bo2bo16bob2o\$14b2obo16b2obo16b2obo16b2obo16b2obo5b2o9b2obo16b2obo16b2obob2o\$14bobo17bobo17bobo17bobo17bobo6bobo8bobo17bobo17bobo\$15bo19bo19bo19bo19bo19bo19bo19bo4\$145b2o\$145bobo\$145bo2\$134b2o\$135b2o\$134bo\$bo\$2bo\$3o\$4bo\$3bo\$3b3o2\$51bo\$bobo45bobo\$2b2o46b2o\$2bo2\$61bo80bobo\$25b2o18b2o13bo14b2o18b2o18b2o18b2o5b2o11b2o\$4bob2o16bo2bo16bo2bo12b3o11bo2bo16bo2bo16bo2bo16bo2bo5bo10bo2bo\$4b2obo16b2obo16b2obo26b2obo16b2obo16b2obo16b2obo16b2obo\$7bob2o16bob2o16bob2o5bo20bob2obo14bob2obo14bob2obo14bob2obo14bob2o\$4b2obob2o13b2obob2o13b2obob2o6b2o15b2obobob2o11b2obobob2o11b2obobob2o11b2obobob2o11b2obo2bo\$4bobo17bobo17bobo9b2o16bobo17bobo17bo2bo16bo2bo16bo2bo\$5bo19bo19bo6b3o20bo19bo19bo2bo16bo2bo5b2o9bo2bo\$54bo61b2o18b2o5b2o11b2o\$53bo43b2o46bo\$97bobo2b2o\$97bo3b2ob2o\$93b3o6b4o\$95bo7b2o\$94bo2\$99bo\$98b2o\$98bobo!`
mniemiec

Posts: 929
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Well, if we had soups containing it, perhaps something similar to what was done with Coe's P8 could be done.

And with the synthesis of the eater3, oscillators containing that are now one step closer to being synthesized.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:Well, if we had soups containing it, perhaps something similar to what was done with Coe's P8 could be done.

And with the synthesis of the eater3, oscillators containing that are now one step closer to being synthesized.

Many of the oscillators containing eater-3 are based on shuttling pairs of gliders. Unfortunately, this particular stator arrangement doesn't work for those, as it gets too close to one of the gliders.
mniemiec

Posts: 929
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:I recently tried to make sure I had syntheses for all of the objects in Achim Flammenkamp's "natural objects" lists. I ended up having to create new syntheses for several new ones; the hardest ones were some of the largest P2s. I currently have all except one - Fore and Back.

Here's a 20x20 soup which produces a Fore + Back; maybe a synthesis could be worked out from this? (Sorry about the file type not being RLE, I'm stuck without any proper life programs for a few days until I get a new computer. It should still copy/paste into Golly though).
`*.*.****.**.*..**.*.*..*****.**.*....***.*....*.*.*.**...*.....**.*.***...********..**..***....*..**.*.*********.*...***..*..**.....*.**..****..**..*****...**...**.****..*.*.*****.****.*..***.***.**.*..*.*....*..***.*.**..*..***.***.*...***..***......**.*....*.*..*.**..**....**.*.*.....*......***..*...*.*****...***.....**.*.*.**.*...***..**.****.****..**.****.*.**..**.*...****..**...*..***...*....`

Lewis

Posts: 316
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Location: UK

### Re: Synthesising Oscillators

Preliminary, first-pass result:
`x = 41, y = 34, rule = B3/S2324b2o5bo\$24b2o5bo\$17b2o12bo\$16bo2bo\$17b2o3\$18b2o\$18b2o2\$24b3o\$24bo2bo\$2o26bo9b2o\$2o22bo2bo9bo2bo\$24b3o10bo2bo\$38b2o4\$14b2o\$13bo2bo\$14b2o4\$36b2o\$35bo2bo\$35bobo\$36bo4\$25b2o\$25b2o!`

Immediate predecessor:
`x = 7, y = 7, rule = B3/S232b2o\$bo2bo2\$o4bo\$o5bo\$o2bob2o\$b3obo!`
Last edited by Extrementhusiast on August 4th, 2013, 1:27 pm, edited 1 time in total.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

It works also without the leftmost block.
`x = 41, y = 34, rule = B3/S2324b2o5bo\$17b2o5b2o5bo\$17b2o12bo6\$26b2o\$18b2o6b2o\$18bobo\$20bo\$2o16bobo17b2o\$2o9bo6b2o17bo2bo\$12bo24bo2bo\$10b3o25b2o2\$17b2o\$16bobo\$17bo6\$36b2o\$35bo2bo\$35bobo\$36bo4\$25b2o\$25b2o!`
Ivan Fomichev

codeholic
Moderator

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### Re: Synthesising Oscillators

codeholic wrote:It works also without the leftmost block.
`x = 41, y = 34, rule = B3/S2324b2o5bo\$17b2o5b2o5bo\$17b2o12bo6\$26b2o\$18b2o6b2o\$18bobo\$20bo\$2o16bobo17b2o\$2o9bo6b2o17bo2bo\$12bo24bo2bo\$10b3o25b2o2\$17b2o\$16bobo\$17bo6\$36b2o\$35bo2bo\$35bobo\$36bo4\$25b2o\$25b2o!`

That was already corrected. In any case, this is shaping up to be a 24-glider synthesis.

EDIT: The synthesis itself:
`x = 188, y = 48, rule = B3/S2336bo\$27bo7bo\$27bobo5b3o\$27b2o\$21bo71bobo8bo\$19bobo72b2o6b2o\$20b2o72bo8b2o52bo\$32b3o54b2o55bobo8bo\$32bo56b2o56b2o8bo\$33bo48b2o63bo17b2ob2o\$81bo2bo80b2obobo\$82b2o84bo2bo\$bo163b2o3b2o\$2bo162bo2bo\$3o19b2o59b2o7bo57bo3b2o10bobob2o\$21bobo23bo35b2o6bo58bo3b2o11b2ob2o\$23bo22bo44b3o56bo\$28b2o16b3o\$28bobo\$3b3o22bo36b2o21b2o13b2o35bo\$5bo59b2o20b2o13bo2bo33bobo\$4bo84bo12bo2bo32bo2bo38bo\$103b2o34b2o37b2o\$179b2o\$48bo\$47b2o\$47bobo29b2o52b2o\$17b2o59bo2bo23bo26bobo\$16bobo60b2o23bo29bo\$18bo85b3o65bo\$24b2o146bo\$24bobo145bo\$24bo\$168b3o3b3o2\$172bo\$94b2o76bo\$93bobo76bo\$95bo82b2o\$178b2o2\$88b2o\$87bobo\$89bo\$94b2o\$94bobo88b2o\$94bo90bobo\$185bo!`

This could most likely be improved.
I Like My Heisenburps! (and others)

Extrementhusiast

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Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:EDIT: The synthesis itself:
...
This could most likely be improved.

Congratulations on the Fore and Back synthesis! I had been expecting it to come from a symmetrical predecessor, so I was surprised at the immediate predecessor shown here. I tried to create another way to synthesize that predecessor directly and more cheaply, but it was ultimately unrewarding. Basically, starting from a 3-part still-life (that would likely take 10-12 gliders to create), and then activating it with 12 additional gliders - and that only made everything except the top block (which was impossible to add), which would have cost than the original synthesis itself, so it wasn't worth it.

However, 15 generations after this (2 generations before the Fore and Back actually forms), the predessor resembles a round object whose two sides are mutilated in different ways. It turns out that either kind of mutilation can be done on both sides simultaneously, i.e. from a symmetrical predecessor. The top one can be accomplished by adding a simple domino spark. The central symmetrical object itself seems fairly common, and turns into a tub. There just happens to be a 4-glider tub synthesis (i.e. from two adjacent boats) that makes it using this very predecessor, which makes a good starting point. Unfortunately, adding the required spark takes some work (8 glider per side), so it takes 20 gliders to put it all together, only a slight improvment on the original:

`x = 103, y = 37, rule=B3/S2371bo\$71bobo\$71boo\$66bo\$59bo4bobo\$60bo4boo\$58b3o\$71bo\$69boo\$70boo\$\$5bo26bo29bo\$4bo26bobo27bobo\$boob3o23bobbo21bo4bobbo\$obo28boo20bobo5boo\$bbo51boo11bo3bobo6bo15booboo\$66bo4boo5boo16boobobo\$66b3o3bo6boo18bobbo\$96boo3boo\$58boo6bo3b3o23bobbo\$59boo5boo4bo24boboboo\$16bo41bo6bobo3bo11boo13booboo\$16bobo27boo28boo5bobo\$12b3oboo27bobbo26bobbo4bo\$14bo30bobo27bobo\$13bo32bo29bo\$\$67boo\$68boo\$67bo\$78b3o\$72boo4bo\$72bobo4bo\$72bo\$66boo\$65bobo\$67bo!`

This should be reducible further, probably to 16 gliders. They key catalyst occurs at generation 14. Ideally, a domino spark with a bit-spark form the required domino in one step. Here, the bit-spark is replaced by another domino, making a blinker instead. This affects the predecessor in a slightly different way, but ends up with the same result. It should theoretically be possible to make the outside domino from 3 gliders rather than 5, but I couldn't find it.
mniemiec

Posts: 929
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Oddly enough, the improvement may be on the inside, rather than the outside. I noticed that a single-bit spark would do the job, as well as the domino spark that was used.

Also, I noticed this:
`x = 35, y = 14, rule = B3/S232b2o19b2o\$3bo20bo2b2o\$3bob2o17bobobo\$2obo2bo14b2obo2bo\$2obo17b2obo\$3bo20bo\$3bobo18bobo5b2o\$4b2o4b2o13b2o4bobo\$6b2o3bo15b2o3bo\$6bo20bo\$7b7o14b7o\$13bo20bo\$9b2o19b2o\$9b2o19b2o!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:Oddly enough, the improvement may be on the inside, rather than the outside. I noticed that a single-bit spark would do the job, as well as the domino spark that was used.

Also, I noticed this:
...

That's what I meant. The desired catalyst at generation 15 is a single domino, but getting that domino there is not possible directly. A domino one further west at generation 14, plus a single bit a knight's-move southeast of it allow the domino to be pulled west one space in the next generation. I couldn't get that bit spark there, but I found that a domino instead (as shown) was feasible, and makes a blinker at 14 instead. This attacks the core differently, but ends up with the same result.

Interesting similarity between the double cuphook and the P9. I'll have to have a closer look to see if one is easy to build (and, if so, how hard it would be to change into the other).
mniemiec

Posts: 929
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

I'm thinking that the double cuphook might be easier to build, but I'll check on it.

EDIT: From the double cuphook, this might work:
`x = 19, y = 23, rule = LifeHistory10\$9.2A\$9.2A2\$6.2A3.A.D\$7.A5.D\$7.A.2A\$4.2A.A2.A\$4.2A.A\$7.A\$7.A.A\$8.2A!`

Add the indicated domino spark between gens. 2-6. (With gen. 2, you have to change the block up a bit.) Also, if there were any ways to extend the top end of the inductor by one bit for one generation, those could be used instead of the block.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Here's a different soup which also produces a Fore and Back. This one looks like it gets formed a different way, so it might yield a synthesis with fewer gliders?

`x = 20, y = 20, rule = 23/33o2bob2ob3o2b2ob2o\$4bo2b3obobob2obo\$4ob2o3bo2b3o\$o4bo2b2o3bobobobo\$2b2ob3o3bobob2o\$2b4o2b3o2bob3obo\$2ob3o3bob3o3b3o\$3b4o2b2ob2ob3obo\$6o2bo2b2obobob2o\$3bo3bo4bob3obo\$2b5ob2o2bobobobo\$ob3o4bo5b3obo\$2ob3o2bo2bobo3b2o\$3obo2b2ob2ob4obo\$2o2b2o3bo3b2ob2obo\$b3o3b4o2b3o3bo\$2b2o4b3ob3o4bo\$4bob2o3bobo2bob2o\$bobob2o3b5obo2bo\$bo2b2o2b2obo3b3obo!`

Lewis

Posts: 316
Joined: March 17th, 2009, 5:26 pm
Location: UK

### Re: Synthesising Oscillators

Preliminary predecessor (off of 238):
`x = 30, y = 51, rule = B3/S2327b2o\$26bo2bo\$27b2o\$17b3o2\$15bo\$15bo\$15bo\$18b2o\$17bo2bo\$18bobo5b2o\$19bo6bobo\$b2o24bo\$o2bo\$obo\$bo22bo\$24bo2bo\$25bobo\$26bo9\$18b2o\$17bo2bo\$18b2o\$6b2o\$6b2o7\$10b2o\$10b2o9\$2o\$obo\$b2o!`

Farther along:
`x = 18, y = 20, rule = B3/S2313bo\$12b2o\$11b2o\$10b2o\$11b2o3b2o\$12bo3b2o3\$6bo\$6bo\$10b2o\$7b3obo\$7bo3bo\$9bobo\$9b2o3\$bo\$obo\$2o!`

Immediate:
`x = 6, y = 8, rule = B3/S23bo\$bo2b2o\$o2b2o\$2o2\$2ob3o\$2b4o\$3bo!`

This one seems less workable.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

The whole discussion about fore and back was not what I meant when I made this thread. The focus is on delivering certain sparks from limited directions. For example, looking at 26P40:
`x = 17, y = 14, rule = LifeHistory2A8.2C\$2A7.C\$12.C\$8.2A.C\$8.2A5\$7.2A\$5.C.2A\$4.C\$7.C7.2A\$5.2C8.2A!`
how would the required duoplet and colon sparks be pushed to the blocks?

Freywa

Posts: 274
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Freywa wrote:The whole discussion about fore and back was not what I meant when I made this thread. The focus is on delivering certain sparks from limited directions. For example, looking at 26P40:
`x = 17, y = 14, rule = LifeHistory2A8.2C\$2A7.C\$12.C\$8.2A.C\$8.2A5\$7.2A\$5.C.2A\$4.C\$7.C7.2A\$5.2C8.2A!`
how would the required duoplet and colon sparks be pushed to the blocks?

Delivering the sparks might not be easy, but it IS possible to create the blocks and sparks together. How about this synthesis I created a few months ago?
`#C 26p40-1 from 30 gliders#C Mark D. Niemiec 2013-05-24x = 155, y = 64, rule = B3/S2348bo\$46bobo\$47b2o3bo\$50b2o17b2o\$51b2o16bobo\$71bo\$71b2o\$60b2o\$61bo\$40b2o19bobo\$41b2o19b2o31bo\$40bo3b2o50b2o\$44bobo48b2o\$44bo67bo4bobo\$112bobo2b2o\$112b2o4bo2\$98bo\$99b2o\$98b2o\$87bo\$88b2o\$87b2o\$51bo\$2bo47bo19bo39bo9bo\$2bobo45b3o16bobo37bobo7bo\$2b2o65bobo37bobo7b3o\$53b3o14bo39bo\$bo51bo\$2bo3bo47bo\$3ob2o20b2o18b2o18b2o38b2o30b2o8b2o\$5b2o18bobo17bobo17bobo37bobo30b2o7bo\$25b2o18b2o18b2o38b2o43bo\$9b2o18b2o18b2o18b2o38b2o35b2obo\$9bobo17bobo17bobo17bobo23bo13bobo10bo23b2o\$11bo19bo19bo19bo23b2o14bo8b2o\$11b2o18b2o18b2o18b2o21bobo14b2o8b2o\$2o18b2o18b2o18b2o28b2o8b2o14bobo\$bo19bo19bo19bo29b2o8bo14b2o\$bobo17bobo17bobo17bobo26bo10bobo13bo27b2o\$2b2o18b2o18b2o18b2o38b2o39bob2o\$26b2o18b2o18b2o38b2o34bo\$6b2o17bobo17bobo17bobo37bobo37bo7b2o\$7b2ob3o12b2o18b2o18b2o38b2o36b2o8b2o\$6bo3bo27bo\$11bo27bo\$37b3o22bo39bo\$9b2o50bobo27b3o7bobo\$8bobo29b3o18bobo29bo7bobo\$10bo31bo19bo29bo9bo\$41bo\$124b2o\$123b2o\$125bo\$113b2o\$112b2o\$114bo2\$94bo4b2o\$94b2o2bobo\$93bobo4bo\$116b2o\$115b2o\$117bo!`
mniemiec

Posts: 929
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Dear me, the wiki hasn't been updated in ages.

Freywa

Posts: 274
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

Freywa wrote:Dear me, the wiki hasn't been updated in ages.

I lost the hosting on my web site (with tons of syntheses) earlier this year. I plan to eventually put it up again, but meanwhile, I've been adding about a decade worth of changes and improvements to it before doing so - the last update was in Nov. 1999! I've also been trying to synthesize a lot of objects that I've found on the wiki and elsewhere - such as the few I've posted here recently. (In perspective, the old site had around 3800 syntheses, and the new updated one has around 10,000, most of which are trivial, but many are not.) It's getting close to being ready for prime time. One thing I still need to do is to look at all the syntheses from the wiki to see what I have that's been subsequently improved. (I've downloaded all of them, but only looked at some so far).
mniemiec

Posts: 929
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

There was one component where an 11.12 was turned into a 12.34. I know it took about ten gliders, and involved an eater, but for the life of me, I can't remember it. Do you know what it was? It went something like this:
`x = 9, y = 9, rule = B3/S234bobo\$5bo\$6bobo\$2o2bo2bo\$o6bo\$b3o\$4bo\$b3o\$bo!`

I also remember that the eater was placed here:
`x = 9, y = 7, rule = B3/S235bo\$2o3b3o\$o7bo\$b3o3b2o\$4bo\$b3o\$bo!`

(Or at least somewhat nearby; it was really close to the 11.12, but still able to be synthesized with two gliders.)

(This was for that pi catalyst that released gliders. It started from an 18.19039.)

(All these are in Pentadecathlon ordering. The site apparently has a broken script, so I can't look it up myself.)
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

This what you are looking for?

`x=34, y=205bo6b2o9bo4b2o\$6b2o4bobob2o10bobob2o\$5b2o7bobo6bo6bobo\$14bobo13bobo\$4bo10bo7bo7bo\$4b2o5b2o\$3bobo6bo\$12bobo12b2o\$2o11b2o13b2o\$b2o24bo3b2o\$o30bobo\$31bo\$17b2o\$9b2o6bobo\$8bobo6bo\$10bo2\$14b2o\$14bobo\$14bo!`
hkoenig

Posts: 73
Joined: June 20th, 2009, 11:40 am

### Re: Synthesising Oscillators

Yes, and thank you. (Golly crashed, and I had not saved it, and then I couldn't get it again from PD, and...you get the point.)

Synthesis from 18.19039:
`x = 210, y = 36, rule = LifeHistory148.A.A\$148.2A\$30.A40.A.A9.A65.A\$31.A39.2A8.2A63.A\$29.3A34.A5.A9.2A3.A56.2A\$67.2A18.A.A50.A.A2.2A\$32.A.A31.2A19.2A52.2A\$32.2A107.A\$33.A49.A.A68.A\$.A.A.A.A.A.2A70.2A4.A63.A\$A12.A61.A8.A3.A64.3A\$A61.2A9.A.A12.3A21.A6.A.A18.A4.A30.A24.A\$7.A5.A23.A20.A2.A.A4.A5.2A35.A.A5.2A18.A.A3.3A27.A.A22.A.A\$A5.A.A19.3A5.A.A17.A.A3.A4.A.A40.A.A7.A17.A.A7.A25.A.A2.A19.A.A2.A\$4.3A2.A3.A16.A3.3A2.A17.2A6.3A2.A37.3A2.3A20.3A2.3A3.2A8.3A12.3A2.2A.A3.A12.3A2.2A.A\$A2.A3.2A.A18.A3.A3.2A.A13.2A8.A3.2A.A35.A3.2A3.A4.3A11.A3.2A3.A12.A13.A3.2A3.A3.A.A9.A3.2A3.A2.2A\$4.3A2.A3.A20.3A2.A13.A.A4.A4.3A2.A37.3A2.3A5.A14.3A2.3A14.A13.3A2.3A4.2A11.3A2.3A3.2A\$A5.A.A27.A.A16.A5.2A4.A.A13.A26.A.A9.A15.A.A11.3A19.A.A10.2A10.A.A\$7.A5.A23.A22.2A6.A13.2A27.A.A25.A.A10.A22.A.A9.A.A10.A.A\$A81.A.A27.A27.A12.A22.A10.A13.A\$A12.A\$.A.A.A.A.A.2A3\$66.2A\$67.2A\$66.A5.A9.2A\$71.2A8.2A\$71.A.A9.A5\$92.3A\$92.A\$93.A!`

`x = 235, y = 38, rule = B3/S2326bo\$26bobo\$26b2o5\$148bo\$75bobo68bobo\$8bo67b2o69b2o85bo\$8bobo65bo36bo22bobo11bobo79b3o\$3bo4b2o44bobo30bo23b2o23b2o12b2o79bo\$4bo11bo37b2o22bobo5bo25b2o23bo13bo79b2o\$2b3o10bo39bo22b2o6b3o26b2o\$15b3o22b2o27b2o8bo22b2o3bo7bobo9b2o3b2o15b2o19bo57b2o\$40bobob2o8bo14bobob2o27bobobobo6bo11bobobo2bo14bobobo15bobo21bo16b3o\$42bob2o7bo17bob2o3b2o24bob2o21bob4o16bob3o13bob3o18bobo14bo3bo15bobo\$41b2o10b3o14b2o5bo2bo22b2o23b2o20b2o4bo11b2o4bo17bob3o16bo15bob3o\$42bob2o25bob2o3b2o24bob2o21bob2o18bob3o13bob3o17b2o4bo14bo13bo2bo4bo\$40bobob2o8bo14bobob2o27bobobobo18bobobobo15bobobo13bobobo20bob3o14bo14b2obob3o\$40b2o12b2o13b2o8bo22b2o3bo19b2o3bo16b2o16b2o23bobo34bobo\$2b3o48bobo22b2o55b2o56bo17bo17b2o\$4bo73bobo55b2o2bo28bo\$3bo4b2o125bo3b2o27b2o\$8bobo65bo55bo6bobo26bobo\$8bo67b2o54b2o31b2o\$75bobo53bobo30bobo\$15b2o149bo\$15bobo\$15bo2\$30b3o\$30bo\$31bo2\$3o\$2bo\$bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1707
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

48p31 is very intriguing: it looks like it's made up of all simple parts, yet the key component (loaf with attached diagonal bit) is somewhat problematic, in that it's not nearly as "natural" as one would hope. Attaching such a bit to a single loaf is easy, but requires scaffolding that is too large to be sandwiched between two loaves.

This CAN be done easily, if the loaf and the bit appear simultaneously, for example, by flipping the loaf into place with a glider. Again, this is trivial to do for one loaf, but much more difficult for two nearby loaves simultaneously.

After much hair-pulling, I figured out a way to do this by brute force, with a horrid Rube-Goldberg contraption, using a block-on-eater-on-eater, but there was so much going on that it was only possible to bring in one pair of stabilizing blocks, but not the other. I was, however, able to re-work it using 11.34s instead of eaters.

`#C 48p31 from 72 gliders#C Mark D. Niemiec 2013-08-11x = 230, y = 209, rule = B3/S23191bo\$190bo\$190b3o\$83bo\$4bo79bo4bo103boo\$5bo76b3o4bobo101bobo30b3o\$3b3o83boo36booboo35booboo21bo13booboo\$126bobobo35bobobo35bobobo\$boo124bobbo36bobbo36bobbo\$obo44b3o33boobb3o38boo38boo38boo\$bbo81boo\$83bo17\$92bo\$90bobo\$91boo14\$107bo70bobo\$106bo72boo4bo\$106b3o70bo4bo\$184b3o\$107bo70bo\$106boo71bo\$106bobo68b3o\$222bo\$146boo38boo33bobobboo\$32bo113boo38boo32bobbobboo\$30boo189boo\$26b3obboo33boo38boo38boo38boo38boo\$7booboo35booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bobbo\$6bobobo35bobobo14bobobo16bobobo14bobobo16bobobo14bobobo16bobobo14bobobo16bobobo14bobobo\$7bobbo14boo20bobbo13booboo18bobbo13booboo18bobbo13booboo18bobbo13booboo18bobbo13booboo\$8boo14bobo4b3o14boo38boo38boo38boo38boo\$26bo4bo181boo\$32bo95boo38boo38boobbobbo\$128boo38boo38boobbobo\$213bo\$87bobo86b3o\$88boo86bo\$88bo88bo\$169b3o\$87b3o81bo4bo\$89bo80bo4boo\$88bo86bobo14\$103boo\$103bobo\$103bo9\$92bo\$90bobo\$91boo14\$107bo\$106bo\$106b3o73bo\$15bobo163bo\$10bo4boo90bo73b3o\$11bo4bo89boo71bo\$9b3o94bobo71bo\$17bo145bo14b3o38boo\$16bo129boo16boo20boo31boo5boo\$16b3o127boo15boo21boo38boo\$22bo30bo8bo30bo8bo30bo8bo30bo8bo30bo8bo\$21bobobboo24bobo6bobobboo24bobo6bobobboo24bobo6bobobboo13bo10bobo6bobobboo20bo3bobo6bobobboo\$20bobbobboo24bobbo4bobbobboo24bobbo4bobbobboo24bobbo4bobbobboo13boo9bobbo4bobbobboo20bo3bobbo4bobbobboo\$21boo30boo6boo30boo6boo30boo6boo17bobo10boo6boo25bo4boo6boo\$26boo38boo38boo38boo38boo38boo\$7booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bobbo\$6bobobo14bobobo16bobobo14bobobo16bobobo14bobobo16bobobo14bobobo16bobobo14bobobo16bobobo14bobobo\$7bobbo13booboo18bobbo13booboo18bobbo13booboo18bobbo13booboo18bobbo13booboo18bobbo13booboo\$8boo38boo38boo38boo38boo38boo\$13boo38boo6boo30boo6boo30boo6boo30boo6boo10bobo17boo6boo4bo\$8boobbobbo32boobbobbo4bobbo24boobbobbo4bobbo24boobbobbo4bobbo24boobbobbo4bobbo9boo13boobbobbo4bobbo3bo\$8boobbobo33boobbobo6bobo24boobbobo6bobo24boobbobo6bobo24boobbobo6bobo10bo13boobbobo6bobo3bo\$13bo39bo8bo30bo8bo30bo8bo30bo8bo30bo8bo\$17b3o108boo38boo21boo15boo\$19bo108boo38boo20boo16boo5boo\$18bo156b3o14bo22boo\$24b3o60bobo85bo\$19bo4bo63boo86bo\$19boo4bo62bo83b3o\$18bobo153bo\$87b3o83bo\$89bo\$88bo14\$103boo\$103bobo\$103bo7\$43bo\$42bo6bo\$42b3o3bo14bo\$48b3o10boo\$29bo24bo7boo\$15bo14bo21boo\$16boo10b3o22boo\$15boo\$\$55bo122bo\$20bo34bobo119bo\$21bo33boo120b3o\$19b3o17boo72b3o57b3o\$39boo5boo\$46boo\$33bo8bo25b4o21boobobboboo50boobobboboo50boobobboboo\$32bobo6bobobboo20bo3bo13boo4bobbo4bobbo4boo36boo4bobbo4bobbo4boo36boo4bobbo4bobbo4boo\$32bobbo4bobbobboo20bo17boo5bobo4bobo5boo36boo5bobo4bobo5boo36boo5bobo4bobo5boo\$bboo29boo6boo26bobbo21bo6bo52bo6bo52bo6bo\$ooboo41boo\$4o23booboo13bobbo\$boo23bobobo14bobobo23boo\$27bobbo13booboo23b4o\$28boo41booboo\$3bobbo26boo6boo29boo20bo6bo52bo6bo52bo6bo\$7bo20boobbobbo4bobbo42boo5bobo4bobo5boo36boo5bobo4bobo5boo36boo5bobo4bobo5boo\$3bo3bo20boobbobo6bobo42boo4bobbo4bobbo4boo36boo4bobbo4bobbo4boo36boo4bobbo4bobbo4boo\$4b4o25bo8bo50boobobboboo50boobobboboo50boobobboboo\$28boo\$28boo5boo\$35boo17b3o23b3o57b3o\$19boo33bo81b3o\$18bobo34bo82bo\$20bo116bo\$\$59boo\$21boo22b3o10boo\$22boo21bo14bo\$12boo7bo24bo\$13boo10b3o\$12bo14bo3b3o\$26bo6bo\$32bo!`
mniemiec

Posts: 929
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

I think you meant "Merzy's p31 from 68 gliders", not 72. You accidentally included two blinkers (four gliders) into the count, which don't play a part in the synthesis at all. I understand that the raw count gives 66, but a four-glider synthesis is required for two of the four LWSSs due to proximity reasons.

Freywa

Posts: 274
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: Synthesising Oscillators

mniemiec wrote:48p31 is very intriguing...

Perhaps this will give insight into a more efficient synthesis:

`x = 156, y = 156, rule = 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Edit: Here is a predecessor for Nicolay's p13:
`x = 204, y = 204, rule = 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-Matthias Merzenich
Sokwe
Moderator

Posts: 1263
Joined: July 9th, 2009, 2:44 pm

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