## Synthesising Oscillators

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

### Re: Synthesising Oscillators

mniemiec wrote:Other than trivially growing the hook, I have no clue how to make either one.

Could this approach work?...:

x = 16, y = 14, rule = B3/S23
4b2o\$4bo2bobo\$6b3obo\$10bo\$8b2o5bo\$7bo5b2o\$7bo6b2o\$4b2ob2o\$3bobo7bo\$3bo
bo6b2o\$4bo7bobo\$bo7bo\$b2o5b2o\$obo5bobo!

Goldtiger997

Posts: 350
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Synthesising Oscillators

Goldtiger997 wrote:
mniemiec wrote:Other than trivially growing the hook, I have no clue how to make either one.

Could this approach work?...:

RLE

It can be altered and simplified to completely solve it:
x = 28, y = 21, rule = B3/S23
2o\$o2bobo\$2b3obo9b2o\$6bo8b2o\$4b2o11bo\$4bo8b2o\$5bo6bobo\$4b2o8bo\$25b3o\$
25bo\$26bo8\$16b2o\$15b2o\$17bo!

Besides, isn't there another variant of the oscillator itself?
x = 6, y = 11, rule = B3/S23
2b2o\$bo2bo\$o2bobo\$3o2bo2\$2b3o\$bo\$bobo2\$2bobo\$3b2o!

EDIT: Got that one done, too:
x = 184, y = 36, rule = B3/S23
158bo\$157bo\$26bo130b3o\$25bo129bo\$20bobo2b3o125bobo7bo\$21b2o131b2o7bobo
\$21bo53bo87b2o\$o72b2o\$b2o7bo20bo32b2o8b2o5bo13b2o23b2o30b2o26b2o\$2o6b
2o15b2o4bobo20bobo6bo2bo12b2o13bo2bo21bo2bo28bo2bo24bo2bo\$4b3o2b2o12bo
2bo4b2o5bo16b2o5bo2bobo12b2o11bo2bobo19bo2bobo26bo2bobo22bo2bobo\$6bo
16b3o12bobo14bo6b3o2bo25b3o2bo19b3o2bo26b3o2bo22b3o2bo\$5bo32b2o27b2o
29b2o23b2o30b2o\$25b3o7b2o27b3o5bobo20b3o2bo19b3o2bo26b3o2bo22b3o\$24bo
2bo6b2o27bo2bo5b2o20bo4b2o18bo4b2o25bo4b2o21bo\$24b2o10bo17b3o5bo2bo7bo
20b2o23b2o30b2o26bobo\$56bo6b2o10b3o42bo31bo\$31b2o22bo19bo44bobo6bo22bo
bo25bobo\$30b2o44bo13b3o28b2o6bobo21bobo25b2o\$4b3o13b3o9bo59bo4b3o25b2o
2b2o23b2o8b2o\$4bo17bo35b3o6b3o21bo5bo27bobo36bobo\$5bo15bo38bo6bo30bo
26bo38bo\$59bo8bo24b3o25b2o\$95bo26b2o\$94bo26bo40b2o\$46b3o47b3o62b2o\$48b
o47bo50b3o13bo\$47bo49bo51bo\$148bo\$54b3o\$56bo\$55bo2\$142b3o\$144bo\$143bo!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1669
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

I wonder if this simple oscillator had been known:

x = 15, y = 15, rule = B3/S23
7bo\$7bo\$7bo2\$5b5o\$5b3o2bo\$5bo4bo\$3o3bo2b2ob3o\$5bobob2o\$4bobob3o\$5bo2\$
7bo\$7bo\$7bo!

It results from depolymerization of this oscillator.
Ivan Fomichev

codeholic
Moderator

Posts: 1138
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

### Re: Synthesising Oscillators

Extrementhusiast wrote:Besides, isn't there another variant of the oscillator itself? ... EDIT: Got that one done, too: ...

Splendid! This converter can also make the cis-carrier version, although the trans-carrier and snake stick out a bit too much and might need some work to use directly (although both can be made from the cis-carrier one). If the corresponding still-life could be made for under 38 gliders, this converter would improve it. If it could be made for under 27, it would also improve the trans-carrier and snake versions.
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

codeholic wrote:I wonder if this simple oscillator had been known:

x = 15, y = 15, rule = B3/S23
7bo\$7bo\$7bo2\$5b5o\$5b3o2bo\$5bo4bo\$3o3bo2b2ob3o\$5bobob2o\$4bobob3o\$5bo2\$
7bo\$7bo\$7bo!

It results from depolymerization of this oscillator.

Known since 31 Oct 2016
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1591
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

I decided to try tackling the remaining unsynthesized P5s up to 26 bits, all of which are Elkies's P5s with a claw w/tub, or similar appendage. Two existing converters for adding an inconvenient tub use a mechanism below the claw that has the same effect as one of the block-to-boat converters, which is much cheaper. This allows simplification of those two converters, plus creation of a third that solves the base form that is used for most of the above-mentioned Elkies's P5s. The only 2 remaining unsolved P5s up to 26 bits are now ones with the tub plus a snake or carrier.
x = 170, y = 40, rule = B3/S23
15bo29bo29bo29bo\$14bobo27bobo27bobo27bobo27boo28boo\$8boo5bo29bo22boo5b
o29bo22boo3bobbo26bobbo\$7bobbo56bobbo56bobbo3bobobbo24bobobbo\$bobo4boo
3b5o25b5o20boo3b5o25b5o13bobo4boo3boob4o23boob4o\$bboo8bobbobbo23bobbo
bbo13bobo7bobbobbo23bobbobbo13boo8bobbo26bobbo\$bbo9boo3boo22bobo3boo
14boo7boo3bobo21bobo3bobo12bo9boo3bo6bo16bobo3bo\$42bo20bo3boo9bo23bo5b
o27boo4boo18bo3boo\$6boo58bobo57boo15boo\$5bobo60bo56bobo\$7bo65boobboo
48bo4boo3boo\$73boobbobo51bobbobboo21boo\$78boo51bobbo11boo12boo\$9boo5b
3o113boo6bobobboo\$10boo4bo61bo4bo42bo13boo5bo\$boo6bo7bo59boo3bo43boo
13bo\$obo74bobobb3o40bobo8b3o\$bbo12boo119bo\$16boo119bo\$15bo11\$12bo29bo\$
11bobb3o24bobb3o\$13bo29bo\$14bobobbo24bobobbo\$13boob4o23boob4o\$12bobbo
26bobbo\$11bobobboo23bobobboo\$12bo4bo24bo4bo\$16bo28bo\$16boo27boo!
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:The only 2 remaining unsolved P5s up to 26 bits are now ones with the tub plus a snake or carrier.

I did not expect this to go as directly as it did:
x = 54, y = 32, rule = B3/S23
14bobo\$15b2o\$15bo2\$12b2o34b2o\$11bo2bo32bo2bo\$12bobo6bobo24bobo2bo\$11b
2ob2o5b2o24b2ob4o\$10bo2bo2bo5bo4bo18bo2bo\$9bobo2b2o11bobo15bobo2b2o\$
10bo9b3o4b2o17bo4bo\$3bobo14bo28bo\$4b2o8bo6bo27b2o\$4bo8bobo\$13bobo7b2o\$
14bo8bobo3b2o\$23bo4b2o\$8bo8bo12bo\$b2o5b2o7b2o\$obo4bobo6bobo\$2bo9\$32b2o
\$31b2o\$33bo!

There might be a less sparky place for the last cleanup glider, though.

Plus, a special freaky bonus component!
x = 58, y = 28, rule = B3/S23
bo\$2bo\$3o18b2o29b2o\$20bo2bo27bo2bo\$21bobo2bo6bo18bobo2bo\$20b2ob4o6bobo
15b2ob4o\$19bo2bo10b2o15bo2bo\$18bobo3bo24bobo2b2o\$3bobo13bo3b2o25bo4bo\$
3b2o46b4o\$4bo\$49b4o\$5b2o42bo2bo\$6b2o29b3o\$5bo31bo\$38bo3\$13b2o26b2o\$12b
obo25b2o\$14bo27bo3\$28b3o\$28bo\$11b3o15bo\$13bo\$12bo!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1669
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:
mniemiec wrote:The only 2 remaining unsolved P5s up to 26 bits are now ones with the tub plus a snake or carrier.

I did not expect this to go as directly as it did:...

Great work Extrementhusiast!

Here is the full synthesis in 24 and 28 gliders:

x = 178, y = 92, rule = B3/S23
155bobo\$156b2o19bo\$156bo18b2o\$176b2o\$148bobo\$149b2o\$14bo134bo\$15b2o\$
14b2o\$2bo17bobo125bo\$3b2o15b2o42bobo79bobo\$2b2o17bo43b2o80b2o3bo\$65bo
84b2o\$bo149b2o\$2o8b2o12bo37b2o48b2o48b2o\$obo7bobo11bobo34bo2bo46bo2bo
46bo2bo\$10bo13b2o36bobo6bobo38bobo2bo44bobo2bo\$61b2ob2o5b2o38b2ob4o43b
2ob4o\$60bo2bo2bo5bo4bo32bo2bo46bo2bo\$59bobo2b2o11bobo29bobo2b2o43bobo
2b2o\$60bo9b3o4b2o31bo4bo44bo4bo\$53bobo14bo42bo50bo\$12b3o39b2o8bo6bo41b
2o49b2o\$14bo39bo8bobo\$13bo49bobo7b2o\$64bo8bobo3b2o\$73bo4b2o\$58bo8bo12b
o38bo\$51b2o5b2o7b2o37bo11b2o\$34b2o14bobo4bobo6bobo37b2o10bobo\$34bobo
15bo52bobo6b3o\$34bo81bo\$115bo3\$113bo\$113b2o\$112bobo2\$82b2o\$81b2o\$83bo
9\$105bobo\$106b2o19bo\$106bo18b2o\$126b2o\$98bobo\$99b2o\$14bo84bo\$15b2o\$14b
2o\$2bo17bobo75bo\$3b2o15b2o42bobo29bobo\$2b2o17bo43b2o30b2o3bo\$65bo34b2o
\$bo99b2o\$2o8b2o12bo37b2o48b2o\$obo7bobo11bobo34bo2bo46bo2bo\$10bo13b2o
36bobo6bobo38bobo2bo\$61b2ob2o5b2o38b2ob4o\$60bo2bo2bo5bo4bo32bo2bo\$59bo
bo2b2o11bobo29bobo2b2o\$60bo9b3o4b2o31bo4bo\$53bobo14bo42bo\$12b3o39b2o8b
o6bo41b2o\$14bo39bo8bobo\$13bo49bobo7b2o\$64bo8bobo3b2o\$73bo4b2o\$58bo8bo
12bo\$51b2o5b2o7b2o\$34b2o14bobo4bobo6bobo\$34bobo15bo\$34bo8\$82b2o\$81b2o\$
83bo!

Your method will reduce many syntheses of Elkies P5 variants. It obsoletes the recently solved variant without a tub. Unfortunately your snake-to-eater converter doesn't work here because the tub gets in the way, which I haven't been able to work out how to fix.

Anyway, while I'm here, I added a lot more clearance to the ship-to-tripole converter:

x = 103, y = 61, rule = LifeHistory
10.4D.D4.3D\$10.D2.D.D4.D2.D45.2D2.D.3D2.D3.D\$10.D2.D.D4.D2.D45.D.D.D.
D4.D.D.D16.B\$10.D2.D.D4.D2.D45.D.D.D.3D2.D.D.D15.3B\$10.4D.4D.3D46.D.D
.D.D4.D.D.D14.4B\$69.D2.2D.3D3.D.D14.4B\$97.4B\$96.4B\$95.4B\$94.A3B\$93.A
3B\$93.3A3\$29.3B\$28.4B\$27.4B\$26.4B\$25.4B\$24.4B\$23.4B\$22.A3B\$22.ABA\$22.
2A3\$26.2B\$25.3B45.2B\$24.4B45.3B15.3B\$23.4B46.4B13.4B\$22.4B48.4B11.4B\$
21.4B50.4B9.4B\$20.4B52.4B7.4B\$19.A3B54.4B5.4B\$18.A3B56.2BAB3.4B\$18.3A
58.2B2A.ABAB\$80.2A2.2AB\$85.A\$25.2B51.B\$24.4B30.2B17.3B\$16.A6.4B30.4B
15.4B\$15.B2A4.4B32.4B13.4B\$14.BABA3.4B34.4B11.4B\$13.4B3.4B36.4B9.4B\$
12.4B3.4B38.4B7.4B\$11.4B3.BA2B40.4B5.A3B\$10.4B3.2A2B42.3BA3.A3B17.2A\$
9.4B5.2A44.ABA3.3A17.A.A\$8.4B53.2A22.A\$8.3B57.A19.A\$8.2A7.3A47.B2A17.
A\$7.ABA7.A3B45.BABA16.A\$6.3BA8.A3B43.4B16.A\$5.4B10.4B41.4B16.A\$4.4B7.
2A3.4B39.4B8.2A6.A\$3.4B7.A.A4.4B37.4B3.A4.A.A5.A\$2.4B3.2A3.2A6.4B35.
4B3.A.A3.2A5.A\$.4B4.A2.2A9.4B33.4B5.A2.2A6.A\$4B6.2A.A5.2A3.3B33.3B7.
2A.A5.A\$3B10.A.2A.A.A4.2B46.A.2A.A\$13.2A.2A55.2A.2A!

I also found a reduction to up beacon on up long bookend with tub which also acts as a converter:

x = 24, y = 28, rule = B3/S23
21bobo\$2bo18b2o\$obo19bo\$b2o2\$18bo\$16b2o\$17b2o4\$7bo\$5bobo\$6b2o\$14bobo\$
10bo3b2o\$11b2o2bo\$10b2o3\$7b2o\$6bo2bo\$7b2o2\$7b4o\$7bo3bo\$10bobo\$11bo!

Goldtiger997

Posts: 350
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Synthesising Oscillators

Extrementhusiast wrote:I did not expect this to go as directly as it did: ...

Goldtiger997 wrote:Here is the full synthesis in 24 and 28 gliders: ...

(Actually, it's 26 and 30; you forgot to add the beehive). Thanks guys! Now all known P5s up to 26 bits have syntheses.
Goldtiger997 wrote:Your method will reduce many syntheses of Elkies P5 variants.

This reduces the 25-bit tubless snake+carrier ones (and the derived 26-bit eater and feather ones)
but I'm not sure which other would benefit from this.
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

This modification of the relatively new procedure works:
x = 22, y = 17, rule = B3/S23
bo\$o2b3o\$2bo\$3bobo2bo\$2b2ob4o\$bo2bo15bo\$obo2b2o12bo\$bo4bo12b3o\$6bob2ob
2o\$4bobob2ob2o5bo\$4b2o11b2o\$17bobo3\$10bo3b3o\$9b2o3bo\$9bobo3bo!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1669
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Are these known? Last time I checked it took four gliders to turn a bi-boat into a hat, and the second one can probably be reduced:

x = 42, y = 24, rule = B3/S23
bo\$bobo3bobo\$b2o4b2o\$8bo\$10bo24bo\$bo3bo3b2o23bobob2o\$obobobo2bobo22bob
obo\$b2ob2o27b2obobo\$37bo\$40bo\$39bobo\$39bobo\$40bo6\$37bobo\$38b2o\$38bo2\$
39b2o\$39b2o!

gmc_nxtman

Posts: 1094
Joined: May 26th, 2015, 7:20 pm

### Re: Synthesising Oscillators

gmc_nxtman wrote:Are these known? Last time I checked it took four gliders to turn a bi-boat into a hat, and the second one can probably be reduced:

RLE

Both seem new, but the second one has had a different predecessor available:
x = 14, y = 17, rule = B3/S23
3bo\$2bobob2o\$2bobobo\$b2obobo\$5bo5\$5b2o4b3o\$b2o2bobo3bo\$obo2bo6bo\$2bo2\$
4bo\$3b2o\$3bobo!

(I also seem to remember a three-glider version of this as well, but I can't seem to find it.)
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1669
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Here is a modified converter that can make one of the missing 20-bit pseudo-still-lifes from 152 gliders (45 to go):
x = 299, y = 46, rule = B3/S23
34bo\$33bo173bo\$33b3o27bobo140bo\$66bo139b3o\$66bo\$63bobbo\$10boobooboo22b
oobooboo16b3o3boobooboo22boobooboo22boobooboo22boobooboo22boobooboo32b
oobooboo22boobooboo22boobooboo\$11bobo3bo23bobo3bo23bobo3bo23bobo3bo23b
obo3bo23bobo3bo23bobo3bo33bobo3bo23bobo3bo23bobo3bo\$10bo3bobo23bo3bobo
23bo3bobo23bo3bobo23bo3bobo23bo3bobo23bo3bobo12bo20bo3bobo23bo3bobo23b
o3bobo\$10boobooboo22boobooboo16bobo3boobooboo22boobooboo22boobooboo22b
oobooboo22boobooboo10boo20booboobobo21booboobobo21booboobobo\$65boo56bo
84bobo26boo28boo28boo\$65bo55bobo\$45boobo13boo11boobo21boo3boobo13boo6b
oo3boobo21boo3boobo21boo3boobo\$44bobboo12bobo4boo4bobboo21boobbobboo
16boo3boobbobboo17boobboobbobboo17boobboobbobboo6b3o6boo10boo12boo14b
oo12boo\$44boo17bo5boo3boo28boo18bobo7boo20boo6boo20boo6boo9bo7boob3o7b
oo11bobbo13boo11bobbo\$68bo57bo79bo7b5o21bobbo8b3o15bobbo\$215b3o23boo
11bo16boo\$253bo20b3o\$28bo4bo240bo\$29boobo173bo68bo\$28boobb3o150boo18b
oo\$184bobo18bobo\$186bo12b3o\$199bo\$193bo6bo\$192boo\$192bobo\$184bo\$boo
181boo\$obo180bobo\$bbo13\$13b3o\$15bo\$14bo!
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Karel's P15 can surely be optimized:
x = 30, y = 24, rule = B3/S23
10b2o6b2o\$9bo2bo4bo2bo\$9bo2bo4bo2bo\$10b2o6b2o6\$11bo6bo\$10b2o6b2o\$9bobo
6bobo\$8b3o8b3o9\$bo26bo\$b2o24b2o\$obo24bobo!
Still drifting.
Bullet51

Posts: 411
Joined: July 21st, 2014, 4:35 am

### Re: Synthesising Oscillators

Bullet51 wrote:Karel's P15 can surely be optimized: ...

This would take 12-13 gliders (12 if each butterfly could be made from 3, but I think all the ways I know of making one would require at least one pair of crossing streams). Here are the two syntheses I have for it, as of 2002-12-12, requiring 11 and 18 respectively. Unfortunately, my notes on this are in error, saying I found a 28-glider solution (I must have switched population and glider count). The 18-glider solution looks like the typical kind of synthesis I would have come up with (and is the same one that is on the wiki), but I vaguely recall someone else finding the cheaper one later, but I can't recall who or when, and a search of these forums was not helpful. Since Karel apparently found the oscillator the previous day, the window of uncertainty is very narrow.
EDIT: I completed your 12-glider synthesis; it is also included here.
x = 132, y = 108, rule = B3/S23
83bo26bo\$84boo22boo\$83boo4bobo10bobo4boo\$90boo10boo20bo4bo\$90bo12bo20b
6o\$124bo4bo\$\$37bo48b3o16b3o\$35boo51bo16bo\$36boo5bo20b6o17bo6b6o6bo17b
6o\$42bo20bo6bo22bo6bo22bo6bo\$42b3o17bo8bo10b3o7bo8bo7b3o10bo8bo\$63bo6b
o13bo8bo6bo8bo13bo6bo\$37boo25b6o13bo10b6o10bo13b6o\$36bobo\$38bo15\$54bo
44bo\$52bobo44bobo\$53boo44boo7\$68bo16bo\$69boo12boo\$68boo14boo4\$79bobo\$
80boo6bo\$80bo5boo\$87boo\$69boo5bo\$70boo3boo\$69bo5bobo\$\$124bo4bo\$124b6o\$
124bo4bo4\$124b6o\$42boo28boo7bobo39bo6bo\$21bobo17bobbo26bobbo6boo39bo8b
o\$22boo17bobbo26bobbo7bo40bo6bo\$22bo19boo28boo50b6o\$\$21boo\$20bobo59boo
\$22bo59bobo\$82bo13\$88bo\$77bobo9bo19bo\$78boo7b3o19bobo\$78bo15bo14boo\$
95bo\$93b3o17bo\$111boo\$112boo5\$22boo18boo18boo28boo30bo4bo\$bobo7bo9bobb
o16bobbo16bobbo19bo6bobbo29b6o\$bboo7bobo7bobbo5boo9bobbo5boo9bobbo5boo
12boo5bobbo5boo22bo4bo\$bbo8boo9boo6boo10boo6boo10boo6boo11bobo6boo6boo
\$14boo\$boo11bobo63boo\$obo11bo26bo10bo9bo8bo9boo9bo8bo22b6o\$bbo39bo8bo
10bo8bo8bo11bo8bo21bo6bo\$40b3o8b3o8bo8bo20bo8bo20bo8bo\$115boo6bo6bo\$
114boo8b6o\$41boo8boo63bo\$40bobo8bobo32b3o16b3o\$42bo8bo36bo16bo\$87bo18b
o!
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

I've usually avoided mentioned quasi-still-lifes (and other quasi-objects) because they're usually fairly boring, and their syntheses are mostly trivial, except when one object needs to be in a corner between two other objects, or between two pieces of the same diagonally-stretching object. I threw the list of known converters against the lists of quasi-still-lifes up to 20 bits, and found only a few that require special treatment. I was able to create some syntheses and/or new converters that solve most of the difficult ones up to 18 bits; only 9 remain unsolved (bottom row).
x = 278, y = 221, rule = B3/S23
218bo\$216boo\$217boo4\$208bo\$206boo10bo\$207boo9bobo\$218boo\$\$212bo\$199bob
o7bobbobo\$200boo5bobobboo4bobo\$200bo7boo8boo\$219bo25bo\$243bobo\$244boo
\$\$6bobo148bo36bo31boo18boo\$7boo147bo35bo3bo29boo18boo\$7bo28bo119b3o38b
o\$9bo13boobo7bobo6boobo16boobo16boobo16boobo16boobo16boobo16boobo16boo
bo5bo4bo15boobo12boobboobo12boobboobo12boobboobo\$4boobbo14boboo8boo6bo
boo16boboo16boboo16boboo16boboo16boboo8bo7boboo12bo3boboo6b5o11bo3bob
oo12bo3boboo12bo3boboo12bo3boboo\$3boo3b3o27boo19boo18boo18boo18boo18b
oo14boobboo17bobo27bobo19bo19bo19bo\$5bo31bobo19boo18boo18bobbo16bobbo
16bobo12bobobbobo16bobbo26bobbo19bo19bo19bo\$oo37bo61boo18boo19bobo17bo
bo12boo3bobo22boo3bobo17bobo17bobo17bobo\$boo125boo13boo18boo18boo28boo
18boo18boo18boo\$o71bo51bobboo28boo\$73bo50boo3bo22boobboo\$71b3o49bobo
27boo3bo\$75b3o74bo\$77bo\$76bo11b3o\$88bo\$89bo3\$74boo9b3o95bo\$75boo8bo95b
oo\$74bo11bo95boo3\$185bo54bo\$184bo53bobo\$184b3o52boo\$\$210bo29bo\$209bobo
27bobo\$210bo29bo3\$209bo3bo16bo8bo3bo25bo3bo\$204bo3bobobobo16bobbo3bobo
bobo23bobobobo\$203bobo3bo3bo15b3obobo3bo3bo25bo3bo\$204bo13bo15bo13bo\$
209bo3bo3bobo19bo3bo3bobob3o15bo3bo\$208bobobobo3bo19bobobobo3bobbo16bo
bobobo\$209bo3bo25bo3bo8bo16bo3bo\$168bo\$168boo16bobo\$167bobo17boo23bo
29bo\$187bo23bobo27bobo\$183b3o26bo29bo\$185bo\$184bo57boo\$242bobo\$242bo\$
188b3o\$190bo\$189bo10\$254bobo\$254boo\$98bo5bo14bo3bo15bo3bo15bo3bo15bo3b
o15bo3bo35bo3bo11bo13bo3bo\$99bo3bo14bobobobo13bobobobo13bobobobo13bobo
bobo13bobobobo33bobobobo23bobobobo\$97b3o3b3o13bo3bo15bo3bo15bo3bo15bo
3bo15bo3bo35bo3bo25bo3bo\$\$98bo5bo165bo3bo\$98boo3boo55booboo15booboo15b
ooboo35booboo24bobobobo\$97bobo3bobo33b3ob3o14booboo15booboo15booboo27b
oo6booboo25bo3bo\$141bobo65boo17boobbobo14boo\$140bo3bo44bobo16bobbo15bo
bobbo15bobbo\$189boo17bobbo17bo18bobbo6b3o\$190bo18boo38boo7bo\$259bo\$
190boo\$190bobo\$190bo\$229bo\$220b3o6boo\$222bo5bobo12bo\$221bo21boo\$242bob
o11\$199bo45bo\$199bobo44boo\$199boo44boo\$197bo60bo\$164bo30bobo59bo\$122bo
40bo32boo59b3o\$123bo39b3o\$121b3o37bo36bo38bo22boo\$159bobo36boo35bobo
22bobo\$124bobo33boo35bobo36boo22bo\$124boo56bo19bo16boboo26boboo16bo\$
125bo17bo19bo17bobo17bobo15boobbo25boobbo14bobobbo\$38bo3bo99bobo17bobo
17bobo17bobo17bobo27bobo14bobbobo\$39boobobo84boo12bo19bo19bo19bo19bo
29bo19bo\$38boobboo16bo19bo8bo10bo19bo7boo10bo19bo19bo19bo19bo29bo19bo\$
59bobo17bobo7bobo7bobobbo14bobobbo5bo8bobobbo14bobobbo14bobobbo14bobo
bbo14bobobbo15boo7bobobbo14bobobbo\$44b3o13bo19bo8boo9bobbobo14bobbobo
14bobbobo14bobbobo14bobbobo14bobbobo14bobbobo15boo7bobbobo14bobbobo\$
44bo41boo16bo19bo19bo19bo19bo19bo19bo8boo5bo13bo19bo\$45bo39boo145bobo\$
87bo146bo\$\$82bo\$82boo\$81bobo6\$200bo\$200bobo44bo\$200boo46boo\$198bo48boo
\$196bobo61bo\$166bo30boo60bo\$124bo40bo93b3o\$125bo39b3o31bo\$123b3o37bo
35boo38bo22boo\$161bobo34bobo36bobo22bobo\$126bobo33boo39bo34boo22bo\$
126boo56bo17bobo16boboo26boboo16bo\$127bo17bo19bo17bobo17bobo15boobbo
25boobbo14bobobbo\$38bo3bo101bobo17bobo17bobo17bo19bobo27bobo14bobbobo\$
39boobobo86boo12bo19bo19bo39bo29bo19bo\$38boobboo16bo19bo8bo10bo19bo9b
oo8bo19bo19bo19bo19bo29bo19bo\$59bobo17bobo7bobo7bobobbo14bobobbo7bo6bo
bobbo14bobobbo14bobobbo14bobobbo14bobobbo17boo5bobobbo14bobobbo\$44b3o
13bo19bo8boo9bobbobo14bobbobo14bobbobo14bobbobo14bobbobo14bobbobo14bo
bbobo17boo5bobbobo14bobbobo\$44bo41boo16bo19bo19bo19bo19bo19bo19bo10boo
5bo11bo19bo\$45bo39boo147bobo\$87bo148bo\$\$82bo\$82boo\$81bobo12\$90bo\$90bob
o\$90boo\$\$91boo\$90bobo19boo18boo18boo18boo18boo18boo18boo18boo18boo\$92b
obbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo16bobbo7bo8bobo\$
95bobo16boo18boo18boo18boo18boo18boo18boo18boo5boo12bo\$95boo52boo18boo
18boo18boo18boo18boo11boo5boo5bo\$149bo19bo19bo19bo19bo19bo19bo5boo\$96b
oo53bo19bo19bo19bo19bo3boo14bo3boo13bo\$95bobo52boo18boo18boo18boo4bo
13boobbobbo12boobbobbobbo10bobo\$97bo118boobb3o11bobo17bobo3bobo9boo\$
146boo18boo47bobobbo14bo19bo4boo\$133boo10bobbo16bobbo52bo\$132bobo11boo
18boo94b3o\$134bo27b3o53b3o34b3o4bo\$136b3o25bo55bo30bo5bo5bo\$136bo26bo
55bo31boo3bobboo\$127b3o7bo112bobo6bobo\$129bo129bo\$128bo14\$152boo11bobb
oo9boobboo9boboo11boboo11boobboo12boo10bo17boo\$151bobo10bobobbobbo6bo
bbobo9boobo11boob3o10bobbo13bobo9b3o15bobo\$150bo5boo7bo3bobobo6boo18bo
14bo8bo4bo15bo11bo17bo\$149bo7bo10boobbo26bobo12bobo7boo4bo15bo9bo4boo
6boo5bo\$149boo5bo9bobbo13boo9boo4bo14bo15bo7boboo4bo8boobbobbo5bo7bo\$
155bo10boo12bobobbo8bobb3o9boobo14bobboo7boobbobboo11bobobo6bo5boo\$
152bobo25boobboo10boo11boboo13bobo13bobo15bobo8bo\$152boo73bo15bo17bo
10bobo\$273boo!
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

I reduced the syntheses of some more small oscillators.

Odd test tube baby, 9 --> 7:
x = 45, y = 22, rule = B3/S23
12bo\$10bobo\$11b2o10\$6bo17bo\$4bobo16bo\$5b2o16b3o\$b2o24b3o7bo\$obo11b2o
11bo8bobo4b2o\$2bo11bobo11bo8bobo2bobo\$14bo24bo2bo\$11b2o26bo2bo\$10bobo
27b2o\$12bo!

Test tube baby with hook, 9 --> 8:
x = 94, y = 20, rule = B3/S23
68bo\$67bo\$67b3o2\$92b2o\$93bo\$90b3o\$89bo\$64b3o22bo\$57b3o4bo25b3o\$59bo5bo
5b2o20bo\$58bo12bobo3b2o13bo\$71bo5bobo12b2o\$33b2o28b2o12bo\$3b3o27b2o28b
2o4b2o\$3bo64bobo\$4bo65bo\$3o\$2bo\$bo!

Fox, 9 -->7:
x = 49, y = 39, rule = B3/S23
20bo\$20bobo\$20b2o2\$44b3o\$48bo\$44bo3bo\$16b3o27bobo\$18bo4bo18b2o2bo\$17bo
6b2o18bo\$23b2o3bo\$27bo\$27b3o2\$21bobo\$22b2o\$22bo2\$21b2o\$22b2o\$21bo16\$bo
\$b2o\$obo!

I put these and other recent small oscillator syntheses in the collection.
I think If the final 16-bit oscillator is completed I will add the 16-bit oscillators into the collection as well.

Extrementhusiast wrote:This modification of the relatively new procedure works:...

Nice work! I had tried something similar but could not get it to work.

Goldtiger997

Posts: 350
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Synthesising Oscillators

Goldtiger997 wrote:I reduced the syntheses of some more small oscillators. Odd test tube baby, 9 --> 7: ...
Test tube baby with hook, 9 --> 8: ... Fox, 9 -->7: ...

Nice! The test tub babies also improve 2 related 16-bit ones, 9 17s, and 17 18s.
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

Goldtiger997 wrote:Fox, 9 -->7

I searched for a nicer cleanup:

x = 20, y = 21, rule = B3/S23
10bo\$10bobo\$10b2o5\$6b3o\$2bo5bo4bo\$obo4bo6b2o\$b2o10b2o3bo\$17bo\$17b3o2\$
11bobo\$12b2o\$12bo2\$11b2o\$12b2o\$11bo!

Goldtiger997 wrote:I think If the final 16-bit oscillator is completed I will add the 16-bit oscillators into the collection as well.

I will try to put them into my glider synthesis database if that happens.
chris_c

Posts: 775
Joined: June 28th, 2014, 7:15 am

### Re: Synthesising Oscillators

This solves three of the quasis at once:
x = 22, y = 19, rule = B3/S23
6bo\$4bobo\$5b2o2\$13bo\$11b2o\$12b2o5\$o18bobo\$b2o16b2o\$2o8bo9bo\$11bo\$9b3o\$
13bo\$13bobo\$13b2o!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1669
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:This solves three of the quasis at once: ...

Thanks, that's great! It's less obtrusive and much cheaper than my previous put-snake recipe (here are Dave Buckingham's 4-glider and my 10-11-glider old ones). This should also drastically improve several other syntheses where mine is used, typically ones involving three mutually inducting pieces where one is a snake, and it plus one of the others must be brought in simultaneously.
x = 31, y = 27, rule = B3/S23
19bo\$18bo\$18b3o\$\$14bobo\$14boo\$15bo\$9bo12bo\$8bobo10bo\$obo5bobo3bobo4b3o
\$boo6bo4boo\$bo13bo\$8bo9b3o\$7bobo8bo\$8boo9bo7boobo\$27boboo\$\$27boboo\$27b
oobo\$14bo\$13boo\$bo3b3o5bobo\$boo4bo\$obo3bo\$14boo\$14bobo\$14bo!
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

And here's the other six:
x = 208, y = 224, rule = B3/S23
16bo\$17bo10b2o26b2o27b2o\$15b3o10bobo25bobo26bobo\$31bo27bo28bo\$obobo27b
o27bo28bo\$33bo19bob2o4bo20bob2o4bo\$32b2o19b2o2bo2b2o6bo13b2o2bo2b2o\$
45bobo8b2o10bobo14bobo\$46b2o20b2o16bo\$46bo\$62bo\$61bo10b2o\$21bo39b3o8bo
bo\$19bobo28b2o20bo\$16b2o2b2o27bobo\$17b2o5b2o25bo10b3o\$16bo8b2o35bo\$24b
o38bo\$56b3o\$56bo\$57bo2\$17b3o\$19bo\$18bo13\$92bo\$93b2o\$29bo62b2o\$29bobo\$
29b2o4b2o61bo\$35bobo58b2o\$28bo6bo57bo3b2o\$29b2o63b2o\$28b2o63b2o2\$23bo
35bo24bo13bo10bo\$23b3o33b3o22b3o11bobo8b3o\$obobo21bo35bo5bo3bo14bo5bo
4b2o12bo\$25bo35bo4b3o3bobo11bo4b3o17bo4b2o\$25b2o2bo31b2o2bo6b2o12b2o2b
o20b2o2bo2bo\$28bobo33bobo22bobo22bobobo\$29bobo33bobo4bo17bobo3b2o17bob
o\$30bo35bo4b2o18bo3bo2bo17bo\$71bobo21bo2bo\$96b2o4\$47b3o43b2o\$47bo44bob
o\$48bo45bo17\$86bo\$87bo\$85b3o2\$88bobo\$88b2o\$89bo\$32b2o2b2o11b2o2b2o22b
2o2b2o21b2o2b2o\$32bo2bobo11bo2bobo22bo2bobo21bo2bobo\$33b2o15b2o26b2o
25b2o\$87b2o\$22bobo11b2o15b2o26b2o3bobo19b2o\$obobo18b2o3bobo4bobo12bobo
bo5b3o15bobobo3bo18bobo2bo\$23bo5b2o3bobo13b2o8bo17b2o5b2o18b2o2b2o\$29b
o5bo25bo\$27bo28b2o\$27b2o28b2o2bo\$26bobo10b2o15bo3b2o\$38b2o20bobo\$40bo
38b3o3b2o\$81bo2b2o4b2o\$55b2o23bo5bo3bobo\$54bobo33bo\$56bo35\$19bobo\$20b
2o48bo\$20bo47b2o\$28b2o22bo2b2o12b2o9bo2b2o\$bobobo12b2o9bo2bo18bobo2bo
2bo19bobo2bo2bo\$17bo2bo8bobobo18bo3bobobo19bo3bobobo\$17bo2bo7b2o2bo22b
2o2bo23b2o2bo\$18b2o9bo26bo24bo2bo\$26b3o18bobo3b3o25b2o\$26bo21b2o3bo9bo
\$48bo12b2o\$51bo5b3o2b2o\$50b2o5bo\$50bobo5bo21\$55bobo\$55b2o\$56bo\$50bo\$
51b2o\$30bo19b2o3bo\$22bo5b2o23b2o\$23b2o4b2o23b2o5bobo\$22b2o37b2o55bo\$
62bo56bo\$117b3o\$56b2o6b2o\$19b2obo8bo20b2o2bo6bo2bo14b2o29b2o6bobo17b2o
28b2o21b2o\$19bob2o4bo2bo21bobobo7b2o15bobobo7bo18bobobo3b2o18bobo27bob
o20bobo\$26b2o2b3o22bo28b2o6bo22b2o4bo21bo29bo22bo\$16b2o8bobo20b2o10b2o
15b2o12b3o14b2o26b2o5bo6bobo13b2o5bo15b2o5bo\$16bo32bo10b2o16bo30bo27bo
7bo5b2o14bo7bo14bo7bo\$2bobobo10bo5b2o25bo5b2o4bo16bo5b2o8b2o13bo5b2o2b
o17bo5b2o6bo15bo5b2o15bo5b2o\$18bo4bo11b3o13bo4bo23bo4bo9bobo13bo4bo3bo
18bo4bo5bo18bo4bo17bo\$19bobobo11bo16bobobo24bobobo9bo16bobobo3bo19bobo
bo4b2o4b2o13bobobo18bobo\$20b2ob2o11bo16b2ob2o24b2ob2o26b2ob2o23b2ob2o
3bobo3bobo13b2obobo3bo13b2o\$155bo19b2ob2o\$122b3o54b2o\$122bo\$123bo51b2o
\$176b2o\$175bo12\$185bo18bo\$184bo20bo\$183bo22bo\$183bo9b2o11bo\$182bo10bob
o11bo\$182bo13bo10bo\$182bo14bo9bo\$182bo8b2o5bo8bo\$182bo8bo5b2o8bo\$182bo
9bo14bo\$182bo10bobo11bo\$183bo10b2o10bo\$183bo22bo\$184bo20bo\$185bo18bo!
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1669
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Extrementhusiast wrote:And here's the other six:

Here is a cheaper method for the first and third:

x = 23, y = 56, rule = B3/S23
8b2o\$8bobo\$11bo\$12bo6bo\$5bob2o4bo5bobo\$5b2o2bo2b2o5b2o\$8b2o5\$10b2o3b2o
\$9bobo2b2o\$11bo4bo3\$2o\$b2o6b3o\$o10bo\$10bo15\$19bobo\$19b2o\$20bo2\$4b2o2b
2o\$4bo2bobo\$5b2o2\$8b2o\$5bobobo5bo4bo\$5b2o7bo5bobo\$14b3o3b2o3\$15bo\$14b
2o\$14bobo3\$6b3o\$8bo\$7bo!
chris_c

Posts: 775
Joined: June 28th, 2014, 7:15 am

### Re: Synthesising Oscillators

Does anyone remember this converter? It was posted recently (definitely on or before 2017-09-23), but after fruitlessly searching several of these threads, I can't seem to find who posted it, or where, or when.
x = 34, y = 22, rule = B3/S23
10boo18boo\$9bobbo18bo\$10boo16bo\$28boo\$\$7boo19b4o\$3bobboo20bo3bo\$3boo3b
o22bobo\$bbobo27bo\$11boo13bo\$11bobo11bobo\$11bo13bobo\$26bo3\$oo\$boo\$o\$\$
16boo\$16bobo\$16bo!

EDIT: Never mind; as it usually is with questions of this type, I spent hours searching for this without success last night, but found the answer 5 minutes after posting it here. It was by Goldtiger997 on 2017-09-21, as part of the Elkies's P5 discussion.
EDIT: Incidentally, that converter reduces the synthesis of that object by one, and also the two 17-bit barge-ended ones.
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

This is a first attempt at a converter to un-curl a tail (i.e. loop to hook w/tail converter). Can anyone salvage it, or is there another way to do this? I am trying to back-convert the 30-bit P4 from 2017-07-27 to the base 26-bit version:
x = 174, y = 50, rule = B3/S23
87bo\$bbo3bo81boo\$obo3bobo78boo20bo\$boo3boo120bobobo17bo\$46bo44bobbo16b
oobo12bo5bo15boboobo\$4b3o38bo39bo5b4o16b4o36b4o\$6bo35bobb3o38boo19boob
o22bo16bo19bo\$5bo5boo18boo7bobo8boo18boo12boo4boo17b3o17bobo17b3o17b3o
\$10bobbo16bobbo7boo7bobbo16bobbo16bobbo19bo39bo19bo\$10bobo17bobo17bobo
17bobo17bobo14bo4bo17bo21bo19bo\$9booboo14boboboo14boboboo13booboboo13b
ooboboo18boo38boo18boo\$28boo18boo17bobbo12bo3bobbo17bo\$69boo13boo3boo
18boo\$83boo45bo\$\$44bobo33b3o\$45boo35bo\$45bo3b3o29bo\$49bo\$44boo4bo\$43bo
bo\$45bo15\$50bo\$11boo37b3o\$10bobbo19bobobo15bo\$10bobo19bo5bo13bo\$9boobo
boo36boboo\$13b4o21bo14b4o\$35bobo\$\$15b4o16bo19b4o\$16booboboo33boobo\$19b
obo37bo\$18bobbo36bo\$19boo14bo23b3o\$61bo!
mniemiec

Posts: 877
Joined: June 1st, 2013, 12:00 am

PreviousNext