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Stable universal regulator

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Stable universal regulator

Postby dvgrn » September 2nd, 2015, 6:28 pm

Here's a stable universal regulator. The topic came up recently in the Useless Discoveries thread, and on looking back I realized that I'd never followed up on my plan to build a p1 regulator.

The closest I had come was a P712+8N->P1 regulator. The input signal could come in any time, but the drive signals (testing whether an input signal had come in in the preceding interval of 712+8N ticks) had to be synchronized mod 8.

Suddenly, building a candidate P1 replacement for the old period-8N and period-60N universal regulators seemed like an insurmountable opportunity:

x = 130, y = 179, rule = LifeHistory
67.2A$66.A.A$60.2A4.A$58.A2.A2.2A.4A$58.2A.A.A.A.A2.A$61.A.A.A.A$61.A
.A.2A$62.A2$75.2A$66.2A7.A$66.2A5.A.A$73.2A2$22.2A$15.2A5.2A$15.2A3$
17.2A17.2C5.A19.2A$17.2A17.C6.3A14.A3.A$11.2A21.C.C9.A13.4A$11.2A21.D
C9.2A$60.2A$60.A$57.2A.A$56.A2.A$57.2A$42.2A$42.2A3$64.A$29.2A3.A29.
3A$8.A20.A3.A.A31.A$8.3A19.A3.A.A29.2A$11.A6.3D10.A3.A.A.2A14.A$10.2A
8.D8.A.4A2.A.2A14.3A19.2A$19.3D6.A.A3.A.A21.A18.A$28.A.A2.A2.2A.2A16.
2A16.A.A$29.A3.2A2.A.A35.2A$37.A.A10.2A$38.A11.2A6.2A$58.2A$5.2A101.
2A$6.A101.A$6.A.A101.A$7.2A81.2A14.5A$88.A2.A13.A$88.2A.A.A12.3A$21.
2A67.A.2A15.A$21.A.A27.2A37.A15.4A$23.A26.A2.A2.2A30.3A10.2A3.A3.2A$
23.2A26.2A2.A.A29.A13.2A4.3A2.A$.C51.2A16.2A14.2A20.A.2A$2.C4.2A44.A
17.A37.A$3C4.2A41.2A.A2.A15.3A33.2A$50.A.2A.A.A16.A$54.A.A$51.2A2.A
44.2A$49.3A.2A45.A$48.A28.2A22.3A$25.A23.3A.2A21.A.A5.2A17.A$23.3A9.
2C.C12.A.2A21.A7.2A$22.A10.C6.C34.2A$23.A37.2A$22.2A3.2A3.C5.E2.C19.
2A7.2A17.A$24.2A2.A7.3E2.C28.A14.2A.A.A$22.2A2.2A4.C2.E32.A.A13.A.A.A
.A$23.A.A6.C2.2E4.C26.2A11.A2.A.A.A.A.2A$22.A2.A55.4A.2A2.A2.A$23.2A
8.C6.C44.A4.2A$35.C.2C44.A.A$48.2A33.2A$19.D28.2A$20.2D$19.2D3$24.2A
38.A$24.A38.A.A$25.3A35.A.A$27.A36.A$21.3D41.3A$23.D43.A$22.D3$58.2A$
28.2A29.A$28.A30.A.A$22.2A5.3A17.A10.2A$21.A2.A6.A15.3A$22.A.A21.A$
21.2A2.2A19.2A$23.2A2.A3.2A48.2A$21.2A3.2A4.A48.2A$22.A9.A.2A$21.A11.
A2.A$22.3A9.2A10.D$24.A19.D.D2.2A$45.2D2.2A$.3E$3.E$2.E$58.A3.2A$6.2A
49.A.A3.A$6.2A48.A.A3.A48.A9.2A$52.2A.A.A3.A49.3A7.2A$22.2A28.2A.A2.
4A.A5.2A18.A24.A$22.A33.A.A3.A.A5.A16.3A23.2A14.A$20.A.A29.2A.2A2.A2.
A.A2.3A16.A40.3A$20.2A31.A.A2.2A3.A3.A18.2A38.A$41.2A10.A.A15.2A53.2A
$41.2A11.A17.A$6.2A64.A.2A$5.A.A65.A2.A$5.A68.2A$4.2A83.2A13.2A$89.2A
13.2A$37.A11.2A$36.A.A10.2A$28.A3.2A2.A.A$27.A.A2.A2.2A.2A$18.3D6.A.A
3.A.A$9.2A8.D8.A.4A2.A.2A$10.A6.3D10.A3.A.A.2A52.2A.A6.2A$7.3A19.A3.A
.A56.2A.3A3.A.A21.2A$7.A20.A3.A.A63.A2.A23.A.A$28.2A3.A58.2A.3A2.2A
25.A$93.A.A31.2A$81.2A10.A.A$81.2A11.A$29.D11.2A$29.3D9.2A$29.D.D24.
2A$31.D23.A2.A$56.2A.A$59.A$59.2A$10.2A21.DC9.2A$10.2A21.C.C9.A$16.2A
17.C6.3A$16.2A17.2C5.A3$14.2A$14.2A5.2A$21.2A8$76.A$76.3A$79.A$78.2A
7$88.2A$81.2A5.A.A$81.2A7.A$90.2A2$77.A$76.A.A.2A$76.A.A.A.A$73.2A.A.
A.A.A2.A$73.A2.A2.2A.4A$75.2A4.A$81.A.A$82.2A!

This regulator should be driven by at least a period-1177 drive gun. That is to say, test gliders should come in on the white glider's lane (from the NW) no less than 1177 ticks apart. Other than that there's no periodicity requirement for the test input. Advance the white glider two ticks to see the difficult case that's handled by the almost-never-used extra eater catalyst.

The signal input is the yellow glider from the southwest. After it destroys the blocking eater, the next test glider will produce an output signal, and rebuild the eater. I've left open two possible output paths, marked with damaged eaters. Either or both can be used.

The next test signal should be sent about 1177*2 = ~2400 ticks later, for absolute safety. There's an optional eater (yellow, circled) in the center that can absorb most test-glider timings, but a few of them would cause trouble -- and it's not really part of the design to lose test signals like that, anyway.

This is just a early alpha version, of course. There must be ways to rewire this to rebuild the eater in less than 1000 ticks -- maybe quite a bit less. Anyone feel like improving the bounding box or the recovery time?
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Re: Stable universal regulator

Postby simsim314 » September 2nd, 2015, 6:42 pm

Nice!

Maybe a bit dumb question: don't we have direct H->eater converter? It looks very strange to me that we need two H for single eater.

EDIT I've found here previously posted some H->rare SL converters.
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Re: Stable universal regulator

Postby dvgrn » September 2nd, 2015, 7:49 pm

simsim314 wrote:...don't we have direct H->eater converter? It looks very strange to me that we need two H for single eater.

Sort of. There's one Herschel conduit that produces an eater as part of its evolution, but it's later destroyed.

I definitely don't know of any direct H-to-edgy-eater converters. Going by Catagolue probabilities, we should probably see a thousand edgy H-to-beehive converters before the first edgy H-to-eater.

------------------------------------------

While I'm thinking of it, here's another of the universal regulator mechanisms from a dozen years ago, that I mentioned in the other thread:

#C p1->p60 regulator with a recovery time of 355 generations
#C A p359 gun tests all possible input phases,
#C producing a p21540 oscillator.
#C Paul Chapman, 25 March 2003, minor optimization by Dave Greene.
x = 247, y = 294, rule = B3/S23
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26boobo$26boboo$oo50boo$bo17boo31boo$bobo15boo161bo$bboo178bo$178b3obo
$$8bo168bo$7boo168boobo$7bobo169boo3$146bo32boo3boo$139boo5b3o5boo3bo
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5o58b5o$9bo111boo3boo8bo47bobobobo$9bobo110b5o10bo46boo3boo$10boo110bo
3bo8b3o$123bobo18boo7boo$77boo45bo19bo8boo32bo39boo$77boo66b3o38bobo
38bo$29bo43boo72bo38bobo36bobo$27b3o43boo49boo61bo37boo$26bo32boo63boo
60boo$26boo31boo125boo$186boo4$57bo$8boo37boo7bobo92bo$9bo37boo7bobo
93bo7bobo$9bobo45bo11boo79b3o10bo$10boo57bo89bo3bo$70b3o90bo$72bo87bo
bbo$27boo38boo92b3o$10boo15boo24boo12boo$9bobo42boo114boo19boo$9bo43bo
117bo19bo$8boo161bobo5bo9bobo$44boo126boo3bobo9boo$43bobo130bobo$45bo
129bobbo$27boo147bobo$28bo137bo10bobo$28bobo136bo11bo$29boo134b3o4$10b
oboo181boo$10boobo165bo14boo$178bo11boo4bo$19boo157b3o9boo$19boo5$181b
o28boo$160bobo19bo28bo$163bo16b3o28bobo7bo$159bo3bo48boo7b4o$163bo58b
4o7bo$160bo3bo57bobbo6bobo$161boboo27boo5boo9boo10b4o4boo3bo$162bo29b
oo5bo9boo10b4o5boo3bo9boo$8boo153bo33bobo11bo9bo8boo3bo9boo$9bo153b3o
31boo33bobo$9bobo171boo8boo38bo$10boo114bo56boo8bobo26bobo$125bobo66bo
27boo$108boo15boobo94bo$108bobo14booboo3boo$103boo6bo13boobo4boo25bo
24bo9bo22boo$99boobobbobbobbo13bobo33bo21boo9b3o21boo$99boobboo6bo8bo
5bo32b5o20boo7bobobo$108bobo7bobo42b3o25b3o3b3o31boo$24boo82boo9boo45b
o23bo3bobo3bo23boboo3b3o$21boobbo100bobbo26bobbo5boo22boboo4boobo19bo
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o3bo25bo31boobo5boo9boo8boo5b4o4boobo5boo$15boo4bobo103b4o26bo28bobbo
3bobbo11boo7b3o7bo3b3o$15bo5boo92bo42bobbo24boobboob4o21boo11boo$16bo
98boo43bobo29bo26boo$15boo97bobo75bobo25bo$133boo7boo49boo$123bo9bo9bo
$122boo10b9o$122bobo6b3obb5obb3o24bo$131bobbobb3obbobbo22boo$96boo9boo
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ooboo$168bobo$169bo$169bo5$168boo$168boo!
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Re: Stable universal regulator

Postby dvgrn » July 19th, 2017, 12:42 pm

Didn't want the following idea for a practice project to get lost -- it seems like there must be a surprisingly small universal regulator within reach now, and it seems like this is a good thread for tackling that little challenge.

... It might be a good idea to get a lot more H-to-2Gs into the organized stamp collection first, though. I'm still looking for volunteers to run the classifier script.

dvgrn wrote:
dvgrn wrote:
QED wrote:Wow... that's insanity. I looked at the gun for the 15- glider version and it's crazy. Is there any easier first project?

...
Another idea that came up was to look for the smallest possible mechanism to edge-shoot a fishhook eater. Let's say a stream of gliders is going by, and then this mechanism off to one side gets triggered to build an eater right on the glider lane. Then all future gliders in the stream get absorbed by the newly built eater.

It only takes two gliders to build an eater, and technically we do have things kind of like this already, in universal regulators and elsewhere. But there's probably a smaller faster easier way to do it, using recently discovered H-to-2G components.

Actually this might be a better idea than I thought. The stable universal regulator just came up on the "Things to be discovered" thread, and I went and had a look at it. It needs a drive gun with a period of 1177 ticks or more, and it kinda sorta edge-shoots a glider -- at least, it would if you turned it inside out, routing both of the synchronized rebuild signals clockwise.

Whoever built that universal regulator clearly had absolutely no idea what they were doing.** There's a whole extra completely unnecessary G-to-H-to-G component in each of the two signal branches, that really doesn't do anything but waste time.

It should be possible to replace the H-to-2G in the center of the universal regulator. Pick the correct H-to-2G from the draft glider adjustment toolkit, and use only Snarks for the rest of the reflectors. It should be possible to cut the bounding box considerably, and get the minimum drive gun period well down below 1000, at the very least.

This is another case where the synchronization problem is as simple as it can possibly be -- only two gliders. And it's a useful mechanism, so either

1) people would actually copy and use it for years in other patterns, and the pattern would end up in the LifeWiki with your name on it;

or

2) your improvement would make other people pay attention to the problem, and one or more of them would find even smaller faster solutions, and then the smallest fastest one would end up in the LifeWiki instead.


** [Full disclosure: it was me, four years ago.]
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Re: Stable universal regulator

Postby dvgrn » September 29th, 2017, 9:05 am

EDIT: Okay, the following at least gets the recovery time below 1000. The drive gun can be any period 970 or above. The minimum separation between input signals is about twice the drive-gun period -- 1932 ticks for a p970 drive gun, 1934 ticks for a p971 drive gun, etc.

Here's a universal regulator driven at p971 and tested by a p1935 gun. 971 is prime, so the resulting oscillator has a period of 1,878,885 ticks. Every possible combination of inputs is tested, so the regulator must really be universal:

Code: Select all
x = 228, y = 226, rule = LifeHistory
40.2A3.2A31.2A3.2A$38.3A.A2.2A29.3A.A2.2A$37.A4.A32.A4.A$37.A2.2A.4A
28.A2.2A.4A$36.2A.A.A.A2.A27.2A.A.A.A2.A$37.A.A.A.A31.A.A.A.A$37.A.A.
2A32.A.A.2A$38.A37.A2$51.2A36.2A$42.2A7.A28.2A7.A$24.A17.2A5.A.A28.2A
5.A.A$24.3A22.2A36.2A$27.A$26.2A3$15.2A.2A$15.2A.A$18.A20.2A36.2A$18.
3A4.2A13.A37.A$16.2A3.A3.2A10.3A35.3A19.A$15.A2.4A15.A37.A2.3A14.5A$
15.2A.A15.2A.A39.A2.A13.A5.A$16.A2.3A12.A.A.2A36.2A2.A.A12.3A2.A$16.A
5.A13.A2.A41.2A15.A.2A$17.5A14.2A57.4A2.A$19.A70.2A3.A3.2A$90.2A4.3A$
98.A$98.A.2A$97.2A.2A3$89.2A$89.A$90.3A$92.A4$32.A$32.3A$35.A$34.2A$
60.A$58.3A$23.2A.2A29.A$23.2A.A30.2A17.2A$26.A49.A.A$A25.3A4.2A41.A$
3A21.2A3.A3.2A$3.A19.A2.4A$2.2A19.2A.A15.2A$24.A2.3A12.A.A$24.A5.A13.
A2.2A$25.5A14.A.A.A5.2A$27.A15.2A.A7.2A$46.A$46.2A$59.A$55.2A.A.A.2A$
54.A.A.A.A.2A$51.A2.A.A.A.A$51.4A.2A2.A8.2A$55.A4.3A7.A$53.A.A7.A6.A.
A$53.2A5.3A8.2A$58.3A$57.A$57.2A$42.2A48.2A$43.A48.2A$43.A.2A$44.A2.A
$45.2A$60.2A$60.2A4$69.A3.2A$68.A.A3.A$67.A.A3.A$63.2A.A.A3.A$63.2A.A
2.4A.A5.2A$67.A.A3.A.A5.A$63.2A.2A2.A2.A.A2.3A$64.A.A2.2A3.A3.A$52.2A
10.A.A$52.2A11.A28.A$95.A$93.3A3$136.A11.2A$135.A.A10.2A$127.A3.2A2.A
.A$126.A.A2.A2.2A.2A$126.A.A3.A.A$127.A.4A2.A.2A40.2A$129.A3.A.A.2A
39.A.A$111.2A15.A3.A.A37.2A4.A$112.A14.A3.A.A36.A2.A2.2A.4A$112.A.A
12.2A3.A37.2A.A.A.A.A2.A$113.2A2.2A54.A.A.A.A$117.2A54.A.A.2A$174.A$
140.2A$140.2A45.2A$155.2A21.2A7.A$107.2A45.A2.A20.2A5.A.A$108.A46.2A.
A26.2A$108.A.A47.A$109.2A47.2A$143.2A$144.A13.4A$141.3A14.A3.A$129.2A
10.A19.2A$129.A.A43.2A$131.A44.A$131.2A40.3A$114.2A57.A$115.A$112.3A$
112.A58.2A$164.2A5.A.A$144.A19.2A7.A$142.3A28.2A$141.A$141.2A17.A$28.
A11.2A117.A.A.2A$27.A.A10.2A117.A.A.A.A$19.A3.2A2.A.A126.2A.A.A.A.A2.
A$10.2A6.A.A2.A2.2A.2A125.A2.A2.2A.4A$10.2A6.A.A3.A.A131.2A4.A10.2A$
19.A.4A2.A.2A133.A.A8.2A5.2A$21.A3.A.A.2A134.2A15.2A$20.A3.A.A$19.A3.
A.A$19.2A3.A130.A5.2A17.2A$153.3A6.A17.2A$137.2A13.A9.A.A21.2A$137.2A
13.2A9.2A21.2A$32.2A3.A$32.2A2.2A97.6A$36.A.A8.2A86.A5.A$46.A2.A88.2A
2.A80.2A$47.2A.A86.A2.2A81.A$2A48.A86.2A16.2A68.A$2A48.2A103.2A48.2A
14.5A$35.2A169.A13.A$36.A169.A.A12.3A$33.3A171.2A15.A$21.2A10.A187.4A
$21.A.A139.A3.2A47.2A3.A3.2A$23.A104.2A32.A.A3.A20.2A25.2A4.3A2.A$23.
2A103.A29.2A.A.A3.A21.A34.A.2A$126.A.A29.2A.A4.A20.A.A34.A$126.2A34.
5A.A18.2A34.2A$122.A31.2A.A.2A.A4.2A$121.A.A30.A.2A.A2.A.2A$121.A.A
23.2A12.2A.A.3A46.2A$122.A24.2A19.A46.A$216.3A$134.2A82.A$134.A$36.2A
94.A.A$37.A94.2A$37.A.A$27.A10.2A$25.3A83.2A56.2A15.2A$24.A87.A55.A.A
15.2A$24.2A86.A.A53.A$9.2A48.2A52.2A52.2A$10.A48.2A$10.A.2A$11.A2.A
111.2A.A$12.2A8.A.A101.2A.3A$23.2A2.2A103.A$23.A3.2A33.8A56.2A.3A$62.
A.4A.A57.A.A44.2A$62.8A57.A.A45.A$128.A20.2A24.A.A$36.A3.2A62.2A42.A.
A25.2A$35.A.A3.A61.A2.A2.2A31.2A4.A$34.A.A3.A21.A6.A34.2A2.A.A13.2A
14.A2.A2.2A.4A$30.2A.A.A3.A24.A2.A38.2A16.A.A13.2A.A.A.A.A2.A$30.2A.A
2.4A.A5.2A15.A2.A38.A19.A16.A.A.A.A$34.A.A3.A.A5.A15.A2.A35.2A.A2.A
16.2A15.A.A.2A$30.2A.2A2.A2.A.A2.3A14.A6.A33.A.2A.A.A33.A27.2A$31.A.A
2.2A3.A3.A61.A.A63.A$19.2A10.A.A37.A32.2A2.A48.2A14.A.A$19.2A11.A36.
3A30.3A.2A40.2A7.A16.2A$68.A32.A46.2A5.A.A$68.2A32.3A.2A47.2A6.2A$
104.A.2A56.A22.2A$164.A.A20.A.A$114.2A49.2A22.A$114.2A7.2A64.2A$123.A
2.A$121.A.A.2A$58.2A61.2A.A20.2A$57.A.A64.A21.A15.A22.2A$57.A66.3A16.
3A16.3A20.A.A$56.2A8.2A59.A15.A21.A15.2A4.A$66.2A33.2A23.2A36.2A15.A
5.2A$101.2A73.A5.3A$175.A.A6.A$176.A$65.2A.2A$61.2A2.2A.A3.2A$61.A6.A
.A2.A43.A$62.7A.2A44.A.A17.2A36.2A$69.A46.A.A10.2A5.A.A28.2A5.A.A$64.
4A.A47.A11.2A7.A28.2A7.A$64.A2.2A49.3A17.2A36.2A$120.A$125.A37.A$124.
A.A.2A32.A.A.2A$124.A.A.A.A31.A.A.A.A$121.2A.A.A.A.A2.A25.2A.A.A.A.A
2.A$121.A2.A2.2A.4A25.A2.A2.2A.4A$123.2A4.A31.2A4.A$129.A.A35.A.A$
130.2A36.2A!
#C [[ THUMBNAIL THUMBSIZE 2 ZOOM 2 STEP 50 AUTOSTART ]]

Original post:

I keep trying different technology, but haven't found a really lucky match yet. Kazyan's new color-changing reflector looks nice, but ends up a bit too slow to improve anything with this particular H-to-2G (discussion moved here from triller's p30 thread):

x = 133, y = 173, rule = B3/S23
81b2o6bo11b2o$80bo2bo4bobo10b2o$76b2o2b3obo3bobo$76bo6bobob2ob2o$74bob
o3b2o3bobo$74b2o4bob4o2bob2o$82bo3bobob2o$81bo3bobo$80bo3bobo$65bo14b
2o3bo$64bobo$65bo2$93b2o$93b2o$108b2o$107bo2bo$64b2o42b2obo$64b2o45bo$
111b2o$96b2o$97bo$94b3o$87b2o5bo$87bobo$89bo$89b2o$123b2o$123bo$65b2o
15bo42bo$64bobo14bobo21b2o14b5o$3bo60bo16bobo22bo13bo$4bo58b2o17bo23bo
bo12b3o$2b3o72b2o28b2o15bo$76bobo42b4o$76bo39b2o3bo3b2o$33bo41b2o39b2o
4b3o2bo$33b3o88bob2o$36bo11bo75bo$35b2o9b3o74b2o$bo43bo$obo42b2o10b2o$
2o55bo57b2o$55bobo57bo$2o53b2o10bo48b3o$obo29b2o33b3o48bo$bo30b2o36bo$
69b2o12bo$82bobo$82bobo$81b2ob2o$80bo2bo2bo$81b2o2b2o$66b2o$41b2o23b2o
$42bo$39b3o$39bo$53b2o3bo$53bo3bobo$54bo3bobo$55bo3bobob2o$53bob4o2bob
2o$52bobo3bobo$52bobo2bo2b2ob2o$53bo3b2o2bobo$61bobo4b2o4b2o$62bo6bo4b
2o$67bo$67b5o14b2o$72bo13bo$69b3o12bobo$68bo15b2o$68b4o$66b2o3bo3b2o$
65bo2b3o4b2o$65b2obo$68bo$68b2o23b2o$93b2o2$76b2o$77bo$74b3o28b2o$74bo
4b2o24b2o7b2o$80bo33bo$80bobo29bobo$70bo10b2o29b2o$68b3o$52b2o13bo55bo
$52b2o13b2o52b3o$120bo$50b6o64b2o$50bo5bo$53b2o2bo46bo$52bo2b2o46bobob
2o19b2o$52b2o16b2o29b3obobo21bo$70b2o28bo3bo4bo19bob2o$101bo2bob4o11b
2o4b3o2bo$93b2o7bobobo14b2o3bo3b2o$93b2o2b2o4bo3bo18b4o$97bobo4b4o4b2o
15bo$78bo3b2o15bo11bobo12b3o$77bobo3bo15b2o3b2o5bo13bo$73b2obobo3bo21b
2o4b2o14b5o$73b2obo4bo48bo$77b5obo44bo$69b2obob2obo4b2o44b2o$69bob2obo
2bob2o$62b2o12b2obob3o14bo$62b2o19bo14b3o$101bo$56bo19b2o22b2o$56b3obo
b2o12b2o$59b2obo2bob2obo$41bo14b2o4bob2obob2o21b2o$41b3o12bob5o29bo$
44bo13bo4bob2o22b2obo$43b2o12bo3bobob2o22bo2b3o4b2o$56bo3bobo27b2o3bo
3b2o$56b2o3bo30b4o$92bo15b2o$34b2o57b3o12bobo$34bo61bo13bo6bo$32bobo
56b5o14b2o3b3o$32b2o34b2o21bo22bo$68b2o23bo20b2o$83b2o2b2o3b2o$82bo2bo
2bo$11b2o70b2ob2o34b2o$11b2o71bobo36bo$84bobo36bob2o$71b2o12bo29b2o4b
3o2bo$72bo42b2o3bo3b2o$43b2o24b3o48b4o$43b2o11b2o11bo36b2o15bo$56bo6b
2o5b2o33bobo12b3o$57b3o2bobo6bo33bo13bo$59bo2bo8bobo30b2o14b5o$59bob2o
9b2o50bo$39b2o15b2obo17bo44bo$39bo16bo2bo16bobo43b2o$40b3o11bobo2bobo
14bobo$42bo11b2o4b2o15bo$21b2o$21b2o$84b2o$84bo$82bobo$82b2o5bo$89b3o$
92bo$91b2o$106b2o$59b2o45bo$59b2o42b2obo$102bo2bo$103b2o$88b2o$88b2o2$
60bo$59bobo$60bo14b2o3bo$75bo3bobo$76bo3bobo$77bo3bobob2o$69b2o4bob4o
2bob2o$69bobo3b2o3bobo$71bo6bobob2ob2o$71b2o2b3obo3bobo$75bo2bo4bobo
10b2o$76b2o6bo11b2o!
User avatar
dvgrn
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Re: Stable universal regulator

Postby chris_c » October 1st, 2017, 10:10 am

dvgrn wrote:Okay, the following at least gets the recovery time below 1000.


Saved another 24 ticks with better welds:

x = 227, y = 225, rule = LifeHistory
40.2A3.2A31.2A3.2A$38.3A.A2.2A29.3A.A2.2A$37.A4.A32.A4.A$37.A2.2A.4A
28.A2.2A.4A$36.2A.A.A.A2.A27.2A.A.A.A2.A$37.A.A.A.A31.A.A.A.A$37.A.A.
2A32.A.A.2A$38.A37.A2$51.2A36.2A$42.2A7.A28.2A7.A$24.A17.2A5.A.A28.2A
5.A.A$24.3A22.2A36.2A$27.A$26.2A3$15.2A.2A$15.2A.A$18.A20.2A36.2A$18.
3A4.2A13.A37.A$16.2A3.A3.2A10.3A35.3A19.A$15.A2.4A15.A37.A2.3A14.5A$
15.2A.A15.2A.A39.A2.A13.A5.A$16.A2.3A12.A.A.2A36.2A2.A.A12.3A2.A$16.A
5.A13.A2.A41.2A15.A.2A$17.5A14.2A57.4A2.A$19.A70.2A3.A3.2A$90.2A4.3A$
98.A$98.A.2A$97.2A.2A3$89.2A$89.A$90.3A$92.A4$32.A$32.3A$35.A$34.2A$
60.A$58.3A$23.2A.2A29.A$2.A20.2A.A30.2A17.2A$2.3A21.A49.A.A$5.A20.3A
4.2A41.A$4.2A18.2A3.A3.2A$23.A2.4A$23.2A.A15.2A$24.A2.3A12.A.A$24.A5.
A13.A2.2A$25.5A14.A.A.A5.2A$27.A15.2A.A7.2A$46.A$46.2A$59.A$55.2A.A.A
.2A$54.A.A.A.A.2A$51.A2.A.A.A.A$51.4A.2A2.A8.2A$55.A4.3A7.A$53.A.A7.A
6.A.A$53.2A5.3A8.2A$58.3A$57.A$57.2A$42.2A48.2A$43.A48.2A$43.A.2A$44.
A2.A$45.2A$60.2A$60.2A4$69.A3.2A$68.A.A3.A$67.A.A3.A$63.2A.A.A3.A$63.
2A.A2.4A.A5.2A$67.A.A3.A.A5.A$63.2A.2A2.A2.A.A2.3A$64.A.A2.2A3.A3.A$
52.2A10.A.A$52.2A11.A28.A$95.A$93.3A5$138.A11.2A$137.A.A10.2A$129.A3.
2A2.A.A38.2A$128.A.A2.A2.2A.2A36.A.A$128.A.A3.A.A34.2A4.A$129.A.4A2.A
.2A28.A2.A2.2A.4A$131.A3.A.A.2A28.2A.A.A.A.A2.A$113.2A15.A3.A.A35.A.A
.A.A$114.A14.A3.A.A36.A.A.2A$114.A.A12.2A3.A38.A$115.2A2.2A$119.2A65.
2A$177.2A7.A$142.2A33.2A5.A.A$142.2A16.2A22.2A$157.2A2.A$109.2A45.A2.
2A$110.A46.A$110.A.A45.3A$111.2A48.A$145.2A13.2A$146.A27.2A$143.3A29.
A$131.2A10.A28.3A$131.A.A38.A$133.A$133.2A$116.2A52.2A$117.A45.2A5.A.
A$114.3A46.2A7.A$114.A29.A27.2A$142.3A$141.A17.A$141.2A15.A.A.2A$28.A
11.2A116.A.A.A.A$27.A.A10.2A113.2A.A.A.A.A2.A$19.A3.2A2.A.A125.A2.A2.
2A.4A$10.2A6.A.A2.A2.2A.2A126.2A4.A10.2A$10.2A6.A.A3.A.A136.A.A8.2A5.
2A$19.A.4A2.A.2A133.2A15.2A$21.A3.A.A.2A$20.A3.A.A$19.A3.A.A128.A5.2A
17.2A$19.2A3.A127.3A6.A17.2A$151.A9.A.A21.2A$137.2A12.2A9.2A21.2A$
137.2A$32.2A3.A$32.2A2.2A95.2A.A.3A$36.A.A8.2A84.A.2A.A2.A80.2A$46.A
2.A89.2A81.A$47.2A.A103.2A68.A$2A48.A103.2A48.2A14.5A$2A48.2A153.A13.
A$35.2A168.A.A12.3A$36.A169.2A15.A$33.3A184.4A$21.2A10.A96.2A30.A3.2A
47.2A3.A3.2A$21.A.A106.A30.A.A3.A20.2A25.2A4.3A2.A$23.A104.A.A26.2A.A
.A3.A21.A34.A.2A$23.2A103.2A27.2A.A4.A20.A.A34.A$124.A36.5A.A18.2A34.
2A$123.A.A27.2A.A.2A.A4.2A$123.A.A27.A.2A.A2.A.2A$124.A21.2A12.2A.A.
3A46.2A$146.2A19.A46.A$136.2A77.3A$136.A80.A$134.A.A$134.2A$36.2A$37.
A$37.A.A73.2A$27.A10.2A74.A53.2A15.2A$25.3A86.A.A50.A.A15.2A$24.A90.
2A50.A$24.2A140.2A$9.2A48.2A$10.A48.2A67.2A.A$10.A.2A114.2A.3A$11.A2.
A119.A$12.2A8.A.A103.2A.3A$23.2A2.2A100.A.A$23.A3.2A33.8A59.A.A41.2A$
62.A.4A.A60.A43.A$62.8A36.2A66.A.A$105.A2.A2.2A36.2A24.2A$36.A3.2A64.
2A2.A.A13.2A20.A.A$35.A.A3.A66.2A16.A.A13.2A4.A$34.A.A3.A21.A6.A38.A
19.A11.A2.A2.2A.4A$30.2A.A.A3.A24.A2.A37.2A.A2.A16.2A10.2A.A.A.A.A2.A
$30.2A.A2.4A.A5.2A15.A2.A37.A.2A.A.A30.A.A.A.A$34.A.A3.A.A5.A15.A2.A
41.A.A31.A.A.2A22.2A$30.2A.2A2.A2.A.A2.3A14.A6.A36.2A2.A33.A27.A$31.A
.A2.2A3.A3.A58.3A.2A62.A.A$19.2A10.A.A37.A31.A53.2A14.2A$19.2A11.A36.
3A32.3A.2A38.2A7.A$68.A37.A.2A38.2A5.A.A4.2A$68.2A85.2A6.A22.2A$116.
2A45.A.A20.A.A$116.2A7.2A37.2A22.A$125.A2.A59.2A$123.A.A.2A$123.2A.A$
126.A$58.2A66.3A16.2A14.A22.2A$57.A.A69.A16.A14.3A20.A.A$57.A45.2A23.
2A13.3A18.A15.2A4.A$56.2A8.2A35.2A38.A19.2A15.A5.2A$66.2A107.A5.3A$
174.A.A6.A$175.A2$65.2A.2A49.A$61.2A2.2A.A3.2A44.A.A17.2A$61.A6.A.A2.
A44.A.A10.2A5.A.A32.2A$62.7A.2A47.A11.2A7.A25.2A5.A.A$69.A50.3A17.2A
24.2A7.A$64.4A.A52.A52.2A$64.A2.2A58.A$126.A.A.2A30.A$126.A.A.A.A28.A
.A.2A$123.2A.A.A.A.A2.A25.A.A.A.A$123.A2.A2.2A.4A22.2A.A.A.A.A2.A$
125.2A4.A26.A2.A2.2A.4A$131.A.A26.2A4.A$132.2A32.A.A$167.2A!
chris_c
 
Posts: 828
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Re: Stable universal regulator

Postby dvgrn » October 1st, 2017, 11:02 am

chris_c wrote:
dvgrn wrote:Okay, the following at least gets the recovery time below 1000.

Saved another 24 ticks with better welds...

Ah, good -- that drops the drive period below p960. Might make it a bit easier to use with p30 technology.

I really have to stop using the easy welds that you replaced, and memorize the minimal ones. Thanks!
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Re: Stable universal regulator

Postby dvgrn » June 24th, 2018, 6:33 pm

dvgrn wrote:The closest I had come was a P712+8N->P1 regulator. The input signal could come in any time, but the drive signals (testing whether an input signal had come in in the preceding interval of 712+8N ticks) had to be synchronized mod 8.

I've been looking at that old p8 project again recently. Not surprisingly, it turns out that adding bumpers into the mix can reduce the minimum drive-gun time by quite a bit. The minimum following distance is now 636 ticks, but the drive gun period has to be a multiple of 8, so that bumps the minimum up to 640. That's still quite a bit better than 712.

x = 192, y = 197, rule = LifeHistory
64.2B$63.3A$63.3BAB$62.A3BAB$52.A8.A.A2BA$52.3A4.A2BA.A$55.A2.BA3BA$
54.2A2.BA3B$54.4B2.3A$56.BAB.2B$55.BABA.B$52.2A.B2A2B$52.2A7B$53.7B$
53.7B$54.6B$53.8B$28.2A22.4B2.4B$26.2B2AB20.4B4.4B$26.4B13.A6.4B6.4B$
26.2BAB11.3A5.4B8.4B$27.ABAB9.A7.4B10.4B13.A$27.A2BA9.2A5.4B12.4B10.
3A$28.A2BA5.5B4.4B14.4B8.A$28.4B3.BA3B5.4B16.4B6.B2A$27.BA2BA3BABA3B
3.4B13.2A3.4B3.5B$28.2A2.2BA2BA4B.6B7.2A4.A4.4B2.3B$32.3B2A4B.7B7.A5.
A.AB2.8B$34.6B2.9B2.BA.A6.2AB.8BA2B$34.5B2.11B.B2A9.9BABA3B$33.7B.9BA
3B10.10BABA3B$32.4B.4B.7BABA2B11.10BA2B.B2A$31.4B3.11BABA2B9.2AB.11B.
BA.A9.AB$30.4B5.4B.B2.3BA3B5.2A.A.AB3.7B6.A8.B2A$29.4B7.4B4.6B5.2A.A
7.7B5.2A7.2ABAB$28.4B9.4B4.6B7.A7.6B14.A2B3A$27.4B11.4B3.6B7.A.2A4.7B
12.A.ABAB$26.4B13.4B2.5B5.BA.A.2A4.8B9.BABA.A$25.4B15.14B.B2A8.9B7.3A
2BA$24.4B17.15B10.5B.4B3.B.2BAB2A$23.4B19.14B9.7B.8B3.2AB$22.4B13.2A
5.14B9.3B2A2B2.7BAB.BA$6.2A13.4B15.A5.13B11.2B2AB4.5BABAB$7.A12.4B16.
A.AB2.12B12.5B4.5B2A2B$7.A.AB2.B5.4B18.2AB.9B.B14.5B3.8B.B2A$8.2AB.3B
3.4B21.11B15.6B2.7B3.BA.A$10.6B.4B22.13B3.2A8.6B.4B.2B2A5.A$10.10B23.
9B.B2A.A2.A9.9B4.2A5.2A$10.2B2A5B25.7B2.B2AB2A11.8B$11.A2BA3B25.8B4.B
13.8B$11.BABA4B25.8B2.2A.2A10.7B$12.BA6B25.7B3.A.A2.2A7.6B$12.3B2.4B
21.11B2.A.A3.A6.2B3D2B$12.3B3.4B19.11B4.A4.A.AB3.4BD2B$10.3B6.4B18.
11B10.2AB2.4B3DB$5.B2.2A3B7.4B17.11B12.11B24.EB$4.2A4B4A7.4B16.8B2.B
2A10.11B23.BEBE$4.2A2B2AB3A8.4B15.7B3.BA.A4.A4.11B22.2B2E$5.3BAB2.B
10.4B14.7B6.A3.A.A2.11B22.4B$5.3B16.4B13.6B7.2A2.A.A3.7B24.4B$25.4B
11.7B10.2A.2A2.8B22.4B$26.4B9.8B13.B4.8B20.4B$27.4B7.8B11.2AB2AB2.7B
20.4B$28.4B5.9B9.A2.A.2AB.9B18.4B$29.4B3.4B.6B8.2A3.13B17.4B$30.4B.4B
.7B15.11B16.4B$31.7B2.6B14.B.9B.B2A13.4B$32.5B3.6B12.12B2.BA.A11.4B$
32.5B4.B2A2B11.13B5.A10.4B$31.7B2.2B2A3B9.14B5.2A8.4B$30.4B.4B.7B9.
14B17.B$29.4B3.4B.5B10.15B$28.4B5.9B8.2AB.14B10.3B$27.4B7.8B4.2A.A.AB
5.5B2.4B8.4B$26.4B9.7B4.2A.A7.6B3.4B6.4B$25.4B11.6B7.A7.6B4.4B4.4B$
24.4B4.2A5.7B7.A.2A5.6B4.4B2.4B$23.4B6.A6.7B3.BA.A.2A5.3BA3B2.B.8B$
22.4B7.A.AB.11B.B2A9.2BABA13B$21.4B9.2AB.2BA10B11.2BABA7B.4B$20.4B12.
3BABA10B10.3BA14B$19.4B13.3BABA9B9.2AB.17B$18.4B16.2BA8B.B2A6.A.AB2.
11B2.B2A$2.2A13.4B19.8B2.BA.A5.A7.8B4.AB$3.A12.4B20.3B2.4B4.A4.2A7.7B
6.3A$3.A.AB2.B5.4B19.5B3.4B3.3A12.5B9.A$4.2AB.3B3.4B20.2AB6.4B5.A10.
5B$6.6B.4B22.A8.4B3.2A9.5B$6.10B20.3A10.4B12.5B$6.2B2A5B21.A13.4B10.
5B$7.A2BA3B37.4B8.BC3B$7.BABA4B37.4B6.2C3B$8.BA6B37.4B4.2B2CB$8.3B2.
4B37.11B$8.3B3.4B37.2BA6B$6.3B6.4B37.B3A3B$.B2.BA3B7.4B37.3BA2B$3AB2A
2B2A7.4B37.BA4B$4A4B2A8.4B37.5B$.3B2A2.B10.4B37.5B$.3B16.4B37.5B$21.
4B37.3B2C$22.4B37.2BCBC$23.4B37.BC3B$24.4B37.5B$25.4B37.5B12.A$26.4B
37.5B9.3A$27.4B37.5B7.A$28.4B37.5B6.2A$29.4B30.2A5.5B2.5B$30.4B4.A9.A
15.A6.9B$31.4B3.3A5.3A15.A.AB4.9B$32.4B5.A3.A19.2AB.3B.9B$33.4B3.2A3.
2A20.16B$34.4B4.5B20.18B$35.4B3.3B23.17B$36.4B.5B21.16B.B2A$37.9B19.
17B2.BA.A$38.9B6.2B3.2B2.21B4.A$39.26BD18B3.2A$40.25BDBD4B.7B.4B$40.
14B2A9B3D4B2.6B2.4B$38.16B2A11BD4B3.6B2.4B$38.4B2A27B6.4B3.4B$37.4BA
2BA7B.2B.3B.4B12.B2A2B4.4B$36.2AB2.B2A2B.B.4B6.4B14.2A.B2A3.4B$35.A.A
B2.5B4.4B4.4B18.BA.A3.4B$35.A6.2B7.4B2.4B22.A4.4B$34.2A6.4B6.8B23.2A
4.4B$44.2A7.6B31.4B$44.A8.7B31.4B$45.3A5.7B32.4B$47.A4.7B2A32.4B$53.
2B2AB.2A33.4B$52.B.ABAB37.4B$51.AB.BAB39.4B$50.B2A2.4B38.4B$50.2ABAB
2.2A39.4B$49.A2B3A2.A41.4B$48.A.ABAB4.3A39.4B$46.BABA.A8.A40.4B$45.3A
2BA51.4B$45.BAB2A53.B3A25.A11.2A$47.2AB54.A26.A.A10.2A$47.BA56.A13.A
3.A3.2A2.A.A$117.3A2.A.A2.A2.2A.2A$116.A5.A.A3.A.A$116.2A5.A.4A2.A.2A
$125.A3.A.A.2A$124.A3.A.A$123.A3.A.A$123.2A3.A49.3A$178.3A$167.A10.3A
$167.3A5.3A$136.2A32.A4.3A$136.2A31.2A4.3A$151.2A$150.A2.A18.A9.A$
151.2A.A16.A.A6.3A$104.2A48.A12.2A2.2A6.A$104.2A48.2A11.2A10.2A$139.
2A$140.A$111.2A24.3A3.A43.2A$110.3A12.2A10.A4.A.A43.A$108.A16.A.A14.A
.A43.A.2A$107.A.A17.A12.3A.2A34.2A4.3A2.A$106.A2.A17.2A10.A40.2A3.A3.
2A$107.2A31.3A.2A39.4A$132.2A8.A.2A25.2A15.A$112.A20.A36.A.A12.3A$
111.A2.A18.A.A34.A13.A$112.A.A8.A10.2A33.2A14.5A$113.A7.3A63.A2.A$
120.A68.2A$120.2A$105.2A$106.A$106.A.2A$107.A2.A8.A$108.2A7.A.A$118.
2A3.2A$123.2A2$171.2A$167.2A2.2A$132.A3.2A28.A.A$131.A.A3.A29.A$130.A
.A3.A25.3A$126.2A.A.A3.A7.2A20.A3.2A$126.2A.A2.4A.A6.A4.2A10.A3.A3.A$
130.A.A3.A.A2.3A5.2A9.A.A2.A4.3A$126.2A.2A2.A2.A.A2.A16.A2.A.A8.A$
127.A.A2.2A3.A20.A3.A$115.2A10.A.A28.A$115.2A11.A30.3A!

(Seems like we need both bouncers and bumpers here, so I didn't see how to replace everything with p4 reflectors. But I guess we could get away with converting everything to period 6, with a somewhat bigger bounding box.)

Anyone have any good ideas for cutting the drive-gun period down further, inside the same size of bounding box? Paul Chapman's original p1->p60 universal regulator is a little bigger, even if you don't count the drive gun, and it needs a two-part drive gun (LWSS and glider). But the drive gun could be as fast as period 60.

I was wondering recently if one of these reactions

x = 33, y = 11, rule = LifeHistory
.E17.E$2.E17.E$3E15.3E5$10.2C19.2C$11.C20.C$8.3C18.3C$8.C20.C!

could be made into a universal regulator along the same lines as the stable and p8 regulators. One of the eater-rebuilding recipe gliders would still have to overlap the lane of the drive gun, but the other could come from the side opposite the input glider... which might mean a cheap fast reflector on that side instead of an expensive slow G-to-H-to-edge-shooter. EDIT: Never mind, I think -- I checked both of these, and they seem to have more bad phases than the current eater destruction reaction.
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dvgrn
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Re: Stable universal regulator

Postby dvgrn » July 9th, 2018, 4:50 am

dvgrn wrote:I've been looking at that old p8 project again recently. Not surprisingly, it turns out that adding bumpers into the mix can reduce the minimum drive-gun time by quite a bit. The minimum following distance is now 636 ticks, but the drive gun period has to be a multiple of 8, so that bumps the minimum up to 640. That's still quite a bit better than 712.

Had another crazy idea about universal regulators recently. When I tried it out, it turned out to reduce the minimum period for the drive gun all the way down to 155. (!)

Challenge: how much more can the minimum drive period be reduced? It seems vaguely possible that it could be knocked all the way down to the repeat time of a syringe -- 78, or even the overclocking limit at 74. First find a faster way to get the two gliders back to rebuild the eater... and then maybe increase the period multiplication to 12 or 16 instead of 8 (a tremi-Snark and a quadri-Snark, or two quadri-Snarks?).

My first-try construction is below. The minimum time between inputs is fairly high -- 1443 ticks -- but I'm hoping that can be reduced a bit with a different H-to-2G (from the glider-pair adjustment toolkit) and alternate glider inserter.

#C p1443 test gun (yellow) and p155 drive gun (white)
#C test all phases of a stable universal regulator (green)
#C resulting in a period 1443*155 = p223665 oscillator
#C (if you add an eater to this p223665 intermitting gun)
x = 335, y = 316, rule = LifeHistory
293.2E11.E$293.2E10.E.E$305.E.E2.2E3.E$304.2E.2E2.E2.E.E$308.E.E3.E.E
$304.2E.E2.4E.E$304.2E.E.E3.E$308.E.E3.E15.2E$309.E.E3.E14.E$310.E3.
2E12.E.E$324.2E2.2E$324.2E2$301.2E$301.2E$286.2E$285.E2.E$284.E.2E$
284.E$283.2E$298.2E$298.E34.2E$299.3E31.E$301.E10.2E17.E.E$311.E.E17.
2E$311.E$310.2E4$331.2E$331.E.E$333.E$333.2E$322.2E$323.E$320.3E$320.
E39$222.2E$223.E$221.E$221.5E14.2E$226.E13.E$223.3E12.E.E$222.E15.2E$
222.4E$220.2E3.E3.2E$219.E2.3E4.2E$219.2E.E$222.E$222.2E3$230.2E$231.
E$228.3E$228.E5$228.E$228.3E$231.E$230.2E3$222.2E$222.E$219.2E.E$219.
E2.3E4.2E$220.2E3.E3.2E$222.4E$222.E15.2E$223.3E12.E.E$226.E13.E34.2E
$221.5E14.2E33.E$221.E55.E$223.E33.2E14.5E$222.2E34.E13.E$258.E.E12.
3E$259.2E15.E$273.4E$268.2E3.E3.2E$268.2E4.3E2.E$276.E.2E$276.E$275.
2E3$267.2E$267.E$268.3E$270.E5$270.E$268.3E$267.E$267.2E$225.E$224.E.
E3.2E$223.E2.E3.E44.2E$223.E.E.2E.E45.E$222.2E.E.E.E46.E.2E$220.E2.E.
2E41.2E4.3E2.E$220.2E46.2E3.E3.2E$273.4E$259.2E15.E$235.2E5.2E14.E.E
12.3E$234.E.E5.E15.E13.E$236.E3.E.E14.2E14.5E$222.2E16.2E10.E24.E$
222.2E28.3E20.E$255.E19.2E$254.2E$269.2E$222.2E45.E$222.2E42.2E.E$
265.E2.E$266.2E$251.2E$251.2E2$209.2A12.E$209.A12.E.E$132.A2.2A74.A
11.E14.2E3.E$132.4A.A53.2A14.5A26.E3.E.E$137.A24.2A11.A16.A13.A32.E3.
E.E$130.7A.2A22.2A10.A.A15.A.A12.3A30.E3.E.E.2E$129.A6.A.A2.A32.A.A2.
2A3.A3.A4.2A15.A21.2E4.E.4E2.E.2E$129.2A2.2A.A3.2A31.2A.2A2.A2.A.A2.
3A16.4A21.E.E3.2E3.E.E$124.2A7.2A.2A39.A.A3.A.A5.A10.2A3.A3.2A21.E6.E
.E.2E.2E$124.A48.2A.A2.4A.A5.2A10.2A4.3A2.A8.E11.2E2.3E.E3.E.E$126.A
46.2A.A.A3.A27.A.2A7.E16.E2.E4.E.E10.2E$122.5A50.A.A3.A26.A10.3E15.2E
6.E11.2E$122.A55.A.A3.A24.2A$125.4A50.A3.2A$125.A2.A4.2A$133.2A66.2A$
120.2A79.A$120.A2.A.2A43.2A30.3A$122.2A.2A25.2A16.2A32.A$152.A2.2A$
118.2A33.2A2.A$118.A37.A$113.A.2A.A4.2A28.3A46.2A$113.2A.A.2A3.2A11.
2A14.A49.2A$136.A15.2A13.2A$117.3A17.3A27.A$116.A2.A19.A28.3A$116.2A
52.A10.2A$180.A.A$135.2A43.A$128.A6.A43.2A$127.A.A3.A.A6.2A$127.2A4.
2A6.A.A5.2A$141.A7.2A$140.2A2$119.2A33.A4.2A$118.A.A29.2A.A.A2.A.A$
118.A30.A.A.A.A2.A$117.2A27.A2.A.A.A.A.2A$124.A21.4A.2A2.A$96.2A11.A
13.A.A.2A21.A4.A$24.C71.2A10.A.A13.2A.A2.A14.A.2A.A3.2A.2A$23.C.C82.A
.A2.2A3.A7.A2.2A14.2A.A.2A3.A.A$23.C.C81.2A.2A2.A2.A.A3.A.A25.A3.A2.A
$10.C11.2C.3C83.A.A3.A.A3.2A7.2A17.A.2A.A.A$10.3C15.C78.2A.A2.4A.A13.
A19.A.A.A.2A$13.C8.2C.3C12.C11.2C53.2A.A.A3.A13.A.A22.2A.A2.A$12.2C8.
2C.C13.C.C10.2C57.A.A3.A12.2A28.2A$39.C.C70.A.A3.A$37.3C.2C70.A3.2A$
36.C101.2A$37.3C.2C96.A$39.C.2C96.A.A$104.2A34.2A16.2A30.2A$104.2A52.
2A30.A.A$89.2A101.A4.2A$88.A2.A96.4A.2A2.A2.A$43.C.4C38.A.2A97.A2.A.A
.A.A.2A$6.2C39.C39.A70.2A31.A.A.A.A$6.2C21.2C10.2C4.C38.2A70.2A32.2A.
A.A$29.2C10.C5.C53.2A93.A$2C39.C17.2C40.A$.C40.C2.C12.C2.C40.3A24.2A
51.2A$.C.C40.C14.2C.C41.A11.2A11.2A52.A7.2A$2.2C58.C54.A65.A.A5.2A$
62.2C50.3A67.2A25.A$47.2C65.A5.2A87.3A$6.2C40.C25.2A44.A.A85.A$6.C.C
36.3C27.A47.A2.2A80.2A$6.3C36.C27.A47.2A.A2.A$73.5A14.2A26.A.A.2A$13.
C64.A13.A28.A94.2A$14.2C59.3A12.A.A21.2A35.2A41.2A21.A$13.2C59.A15.2A
23.A35.2A41.A22.A.2A$74.4A37.A.A77.3A11.2A4.3A2.A$41.2C29.2A3.A3.2A
33.2A79.A11.2A3.A3.2A$3.2C.C.2C32.C28.A2.3A4.2A131.4A$.3C.C.C.3C30.C.
C26.2A.A125.2A15.A$C11.C19.C10.2C29.A124.A.A12.3A$.4C.C.3C.C17.3C41.
2A48.2A4.2A67.A13.A$5.3C3.C17.C94.A.A3.A.A65.2A14.5A$C.2C.C.C.C19.2C
94.A6.A85.A$2C.C.C.C.2C3.2C48.2C16.2A24.A.2A20.2A82.A$4.C2.C.C5.C48.
2C17.A24.2A.A104.2A$5.2C2.C5.C.2C24.C3.2C31.3A28.A.2A$9.2C5.C2.C21.2C
.2C.2C31.A30.A.A2.A$17.2C21.C7.C61.2A2.3A$32.2C7.C6.2C61.A$32.2C9.2C
2.2C62.A.A.2A3.2A$43.2C2.2C63.2A.A4.2A$115.A$115.2A$41.C3.2C$40.C.C3.
C$39.C.C3.C$35.2C.C.C3.C$35.2C.C2.4C.C5.2C$39.C.C3.C.C5.C$35.2C.2C2.C
2.C.C2.3C$36.C.C2.2C3.C3.C$24.2C10.C.C112.A$24.2C11.C111.3A$120.2A26.
A$120.2A26.2A5$119.A14.2A.2A$119.3A10.A2.A.2A$122.A9.2A$121.2A22.2A$
137.A2.A4.2A$137.4A$134.A$134.5A$138.A$136.A$136.2A7.2A.2A$141.2A2.2A
.A3.2A$141.A6.A.A2.A$142.7A.2A$149.A$144.4A.A$112.2A30.A2.2A$113.A$
113.A.A$103.A10.2A31.A$101.3A43.3A$100.A49.A$100.2A47.2A$85.2A48.2A$
86.A48.2A$86.A.2A$87.A2.A$88.2A$103.2A$103.2A54.2A$152.2A5.A.A$152.2A
7.A$161.2A$112.A3.2A$111.A.A3.A30.A$110.A.A3.A30.A.A.2A$106.2A.A.A3.A
31.A.A.A.A$106.2A.A2.4A.A26.2A.A.A.A.A2.A$110.A.A3.A.A6.2A17.A2.A2.2A
.4A$106.2A.2A2.A2.A.A6.2A19.2A4.A$107.A.A2.2A3.A34.A.A$95.2A10.A.A43.
2A$95.2A11.A!

If you increase the period of the drive gun by one, the test period also goes up by one. A drive gun of period 156 looks a lot safer -- check out the first test after the eater rebuild in the p155 pattern above vs. the p156 version below. Really both are equally safe, because the timing of the scary reaction at p155 is not dependent on the timing of the test signal. It always works, as long as the drive gun is plain p155 and not something weird like an intermitting gun.

Driving the regulator at p156 requires a p1444+ test gun. 156 and 1444 are not relatively prime, there's a common factor of four, so here's a 156*1444/4 = p56316 oscillator:

x = 211, y = 240, rule = LifeHistory
148.2E$148.2E4$141.2E$141.2E11$135.E$135.3E$138.E$137.2E14.2E$153.2E
10$134.2E$133.E2.E2.2E$134.2E2.E.E13.2E$136.2E16.E.E$136.E19.E$133.2E
.E2.E16.2E$133.E.2E.E.E$137.E.E$134.2E2.E52.E$132.3E.2E53.3E$131.E62.
E$132.3E.2E55.E.E$134.E.2E55.E.E$194.E$144.2E$144.2E7.2E$153.E$151.E.
E$151.2E56.2E$209.2E3$131.2E$131.2E56.2E$188.E.E$188.E$187.2E7.2E$
196.2E$147.E$146.E.E55.2E.E$146.E.E55.2E.3E$147.E62.E$148.3E53.2E.3E$
150.E52.E2.2E$202.E.E$201.E.E.2E.E$184.2E16.E2.E.2E$185.E19.E$185.E.E
16.2E$186.2E13.E.E2.2E$201.2E2.E2.E$206.2E5$173.2E$172.2E$174.E3$187.
2E$187.2E14.2E$203.E$204.3E$206.E4$100.A2.2A$100.4A.A94.E$105.A24.2A
11.A54.3E$98.7A.2A22.2A10.A.A52.E$97.A6.A.A2.A32.A.A2.2A3.A44.2E$97.
2A2.2A.A3.2A31.2A.2A2.A2.A.A6.2A$92.2A7.2A.2A39.A.A3.A.A6.2A$92.A48.
2A.A2.4A.A$94.A46.2A.A.A3.A$90.5A50.A.A3.A$90.A55.A.A3.A23.2E26.E$93.
4A50.A3.2A24.E24.3E$93.A2.A4.2A74.E.E21.E$101.2A75.2E21.2E$88.2A98.2E
$88.A2.A.2A43.2A48.2E$90.2A.2A25.2A16.2A$120.A2.2A$86.2A33.2A2.A77.2E
$86.A37.A78.E.E$81.A.2A.A4.2A28.3A46.2A33.E$81.2A.A.2A3.2A11.2A14.A
49.2A4.E28.2E$104.A15.2A13.2A39.E.E$85.3A17.3A27.A40.2E$84.A2.A19.A
28.3A$84.2A52.A10.2A$148.A.A$103.2A43.A$96.A6.A43.2A$95.A.A3.A.A6.2A$
95.2A4.2A6.A.A5.2A$109.A7.2A$108.2A2$87.2A33.A4.2A$86.A.A29.2A.A.A2.A
.A$86.A30.A.A.A.A2.A$85.2A27.A2.A.A.A.A.2A$92.A21.4A.2A2.A$64.2A11.A
13.A.A.2A21.A4.A$64.2A10.A.A13.2A.A2.A14.A.2A.A3.2A.2A$76.A.A2.2A3.A
7.A2.2A14.2A.A.2A3.A.A$75.2A.2A2.A2.A.A3.A.A25.A3.A2.A$79.A.A3.A.A3.
2A7.2A17.A.2A.A.A$75.2A.A2.4A.A13.A19.A.A.A.2A$75.2A.A.A3.A13.A.A22.
2A.A2.A$79.A.A3.A12.2A28.2A$80.A.A3.A$81.A3.2A$106.2A$107.A$107.A.A$
72.2A34.2A16.2A30.2A$72.2A52.2A30.A.A$57.2A101.A4.2A$56.A2.A96.4A.2A
2.A2.A$55.A.2A97.A2.A.A.A.A.2A$55.A70.2A31.A.A.A.A$54.2A70.2A32.2A.A.
A$69.2A37.A55.A$69.A38.A$70.3A24.2A9.3A39.2A$72.A11.2A11.2A11.A40.A7.
2A$85.A65.A.A5.2A$20.2C60.3A67.2A25.A$20.2C60.A5.2A87.3A$42.2A44.A.A
85.A$43.A47.A2.2A80.2A$22.2C17.A47.2A.A2.A$8.2C12.2C2.2C4.2C7.5A14.2A
26.A.A.2A$9.C16.2C4.C13.A13.A28.A94.2A$9.C.C18.C.C10.3A12.A.A21.2A35.
2A41.2A21.A$5.C4.2C18.2C4.C5.A15.2A23.A35.2A41.A22.A.2A$5.3C26.3C5.4A
37.A.A77.3A11.2A4.3A2.A$8.C24.C6.2A3.A3.2A33.2A79.A11.2A3.A3.2A$7.2C
7.C3.2C11.2C4.A2.3A4.2A131.4A$15.2C6.2C14.2A.A125.2A15.A$14.2C.C5.2C
17.A124.A.A12.3A$13.C.C.C6.C10.2C5.2A48.2A4.2A67.A13.A$12.3C.2C4.2C
11.2C55.A.A3.A.A65.2A14.5A$11.2C2.C77.A6.A85.A$13.3C11.3C20.2A24.A.2A
20.2A82.A$26.C.2C6.2C13.A24.2A.A104.2A$26.C9.2C10.3A28.A.2A$2C9.C18.C
9.2C6.A30.A.A2.A$2C9.C18.C9.2C36.2A2.3A$4.2C9.C63.A$4.2C6.2C.C63.A.A.
2A3.2A$12.3C11.3C51.2A.A4.2A$26.C2.2C52.A$5.2C11.2C4.2C.3C53.2A$5.2C
10.C6.C.C.C$17.2C5.C.2C$17.2C6.2C$7.2C11.2C3.C7.2C$8.C24.C$5.3C26.3C$
5.C4.2C24.C$9.C.C$9.C4.2C103.A$8.2C4.2C2.2C97.3A$18.2C68.2A26.A$88.2A
26.2A2$20.2C$20.2C2$87.A14.2A.2A$87.3A10.A2.A.2A$90.A9.2A$89.2A22.2A$
105.A2.A4.2A$105.4A$102.A$102.5A$106.A$104.A$104.2A7.2A.2A$109.2A2.2A
.A3.2A$109.A6.A.A2.A$110.7A.2A$117.A$112.4A.A$80.2A30.A2.2A$81.A$81.A
.A$71.A10.2A31.A$69.3A43.3A$68.A49.A$68.2A47.2A$53.2A48.2A$54.A48.2A$
54.A.2A$55.A2.A$56.2A$71.2A$71.2A54.2A$120.2A5.A.A$120.2A7.A$129.2A$
80.A3.2A$79.A.A3.A30.A$78.A.A3.A30.A.A.2A$74.2A.A.A3.A31.A.A.A.A$74.
2A.A2.4A.A26.2A.A.A.A.A2.A$78.A.A3.A.A6.2A17.A2.A2.2A.4A$74.2A.2A2.A
2.A.A6.2A19.2A4.A$75.A.A2.2A3.A34.A.A$63.2A10.A.A43.2A$63.2A11.A!

The difference between p155 and p156 drive guns should mean that the mechanism will work for periods a little higher than 155, but there will be some higher drive periods that won't work without some readjustment of path lengths. Haven't worked out the details there.

EDIT: Just realized that the previous stable reflector can also be adjusted down to drive gun periods near 160, using the same kind of trick. Here it is at p153, which is unfortunately the minimum due to the use of an unsuppressed R64 at one point -- otherwise the drive period could drop down to 80 or below.

The system actually gets an eater back in place after only seven cycles at p153, not eight -- but we don't have a septi-Snark. Luckily the mechanism is self-correcting, so after one cycle, the eater doesn't get back in place until eight gliders have passed.

I think with a slightly slower drive gun, it might work to switch from a quadri-Snark to a semi-Snark, and have just six gliders pass through before the eater returns -- could shorten up the loops again and improve the allowable input signal repeat time somewhat.

x = 186, y = 197, rule = LifeHistory
21.A11.A$21.3A7.3A$24.A5.A$7.A15.2A5.2A$7.3A13.B3.5B$10.A9.4B2.4B$9.
2A6.15B$9.5B2.17B$11.23B$10.2A22B$10.2A22B$11.B.19B.B2A$13.18B2.BA.A$
14.16B6.A$15.15B6.2A$16.12B$13.4B2A9B$12.5BAB2A7B7.A$3.2A7.7B2A3B.4B
6.3A$2.A2.A2.2A2.5B2A4B3.4B8.A$3.2A2.A.A2.3B2A3B.4B2.4B6.A.A$5.2A.B3.
7B4.2A3.4B5.A.AB$5.A2.2B2.3BABAB4.A5.4B5.A3B$2.2A.A.BA2B.4BAB6.3A3.4B
6.4B$2.A.2A.A.A8B8.A4.4B5.6B$6.A.A.8B14.4B4.7B$3.2A2.A4.5B16.4B2.8B.A
3B.B$.3A.2A4.6B17.13BA3B.B2A$A4.B6.6B17.15BA3BA$.3AB2AB3.7B17.16B.2B$
3.A.2AB.8B18.6B2ABA3BABA$7.10B18.7B2A6B$7.6B2A3B15.2AB.10BAB$7.6B2A2B
5.2A8.A.AB2.8BABA$7.10B5.A9.A5.6BAB2A$6.11B2.BA.A8.2A5.6B3AB$6.12B.B
2A15.8BA2B$5.15B18.10B$4.16B18.8B.B2A.A$.2B.16B17.7B3.B2AB3A$2A18B17.
6B6.B4.A$2AB.17B17.6B4.2A.3A$.B.4B.8B2.4B16.5B4.A2.2A$8.7B4.4B14.8B.A
.A$9.6B5.4B4.A8.8BA.A.3A$11.4B6.4B3.3A6.6B.2BAB.A2.A$13.3BA5.4B5.A4.
7B2.2B2.A.A.A$14.BA.A5.4B3.2A4.7B3.B.2A2.A.A$15.A.A6.2B2A2.4B.8B2.A.A
2.A.A.A$16.A8.2A2B3.11B2.2A2.2A.2A$17.3A6.BA2B.12B$19.A7.16B$28.14B
10.A$29.10B11.3A$28.12B9.A$27.16B6.2A$20.A6.24B83.2A2.A$20.3A3.23B84.
A.4A$23.A2.24B83.A$22.A.B.24B81.2A.7A$22.2A27B78.A2.A.A3.B2.A$20.2A2.
A22B.4B77.2A2.BA.2A2.2A$19.A2.3A3B3.2B3.B7.2B3.4B80.2AB2AB6.2A$20.A4.
2B3.4B.3B5.BA2B3.4B36.A11.2A29.5B8.A$21.4A5.B2AB.B2AB4.A.A5.4B34.A.A
9.B2AB29.3B7.A$23.A7.2A3.2A6.A7.4B25.A3.2A2.A.A9.3B29.5B6.5A$25.A27.
4B23.A.A2.A2.2A.2A9.B.B28.6B9.A$24.2A28.BABA22.A.A3.A.A2.B8.5B26.8B3.
4AB$55.B2AB22.A.4A2.AB2A6.6B26.5B2A2B2.A2.AB$56.A3B23.A3.A.A.2A4.8B
27.4B2AB4.4B$57.4B4.2A15.A2.BA.A2.13B27.15B3.2A$58.4B4.A14.A.2BA.A5.
13B24.14B2A.A2.A$59.4B3.A.AB11.2A.2BA5.15B22.15B2A.2A$60.4B3.2AB.2A
12.3B4.15B21.15B.B$61.4B4.2B2AB12.2B.B.17B19.4B2.9B$62.4B3.4B6.29B18.
4B5.7B$63.4B2.6B3.16B2A13B16.4B4.9B$64.4B2.6B2.16B2A14B2.2A10.4B5.2A
4.4B$65.4B.7B.27B3.B2A2.A9.4B7.A5.4B$61.2A3.38B4.A.B2A9.4B5.3A7.4B$
62.A4.21B2.2B2.B3.6B5.A11.4B6.A10.4B$62.A.AB2.17B14.6B5.3A7.4B19.4B$
63.2AB.16B14.9B7.A5.4B21.4B$65.17B15.2A4.4B5.2A4.4B23.4B$65.18B15.A5.
4B4.9B25.4B$67.16B12.3A7.4B5.6B27.4B$68.9B.3B.B2A10.A10.4B2.8B28.4B$
69.9B4.BA.A21.15B27.4B$70.9B6.A22.14B28.4B$30.2A36.5B2.5B5.2A22.13B
29.4B$29.A.A36.2A6.5B29.10B.B2A28.4B$23.2A4.A39.A7.5B30.3B2AB3.BA.A
28.4B$21.A2.A2.2A.4A32.3A9.5B29.3B2AB6.A29.4B$21.2A.A.A.A.A2.A32.A12.
5B12.A17.4B6.2A29.4B$24.A.ABABAB48.5B9.3A17.3B39.4B$24.A.AB2AB50.5B7.
A17.AB.2B41.4B$25.AB.2B52.7B4.2A15.A.AB2AB41.4B$28.3B52.7B.4B15.A.ABA
BAB41.4B$28.4B6.2A44.9B14.2A.A.A.A.A2.A40.4B$26.3B2AB6.A45.9B14.A2.A
2.2A.4A41.4B$26.3B2AB3.BA.A44.9B17.2A4.A10.2A34.4B$24.10B.B2A45.9B23.
A.A7.B2A2B3.2A28.4B$23.13B49.8B23.2A8.4B2.B2AB28.4B$22.14B49.9B28.B.
6B3.2B30.4B$21.15B48.11B25.10B2.2B32.4B$20.4B2.8B49.12BA10.A5.2A6.11B
2A2B32.4B10.2A$19.4B5.6B48.5B.4B.ABAB7.3A6.A5.12B2A3B.B30.4B9.A$18.4B
4.9B46.5B3.4B.2A2B5.A9.A.AB2.18B2A30.4B10.A$17.4B5.2A4.4B44.5B3.B2AB
3.4B4.2A9.2AB3.15B.B2A24.2A5.4B5.5A$16.4B7.A5.4B42.5B5.2A5.9B11.18B3.
B26.A5.4B4.A$15.4B5.3A7.4B40.5B14.6B13.18B30.A.AB.7B2.B3A$14.4B6.A10.
4B38.5B3.2A.A.3A5.6B3.B2.2B2.19B32.2AB.7B3.2B.A$13.4B19.4B36.5B4.A.2A
.A2.A4.35B34.12B4A$12.4B21.4B34.5B11.2AB3.27B.7B35.7B2A3BAB2.2A$11.4B
23.4B32.5B13.14B2A16B2.6B35.7B2A2B.B3A2.A$10.4B25.4B30.5B15.13B2A17B.
7B34.10B3.B.A.2A$9.4B27.4B28.5B17.32B.6B33.4BA3B8.A$8.4B29.4B26.5B18.
17B.4B7.9B33.4BABA2B7.2A$7.4B31.4B24.5B20.15B3.2B9.8B32.6BA3B$6.4B33.
4B22.5B21.15B3.3B9.8B30.4B3.4B.2A$5.4B35.4B20.5B23.13B5.A2B.2A6.7B29.
4B5.4B.A$4.4B37.4B18.5B26.13B2.A.A2B.A7.6B7.2A19.4B5.B2A2B.A.2A$3.4B
39.4B16.5B26.8B4.2A.A.AB2.A8.7B6.A19.4B7.2A2B2A.A2.A$2.4B41.4B14.5B
27.6B6.2ABA4.A9.7B3.BA.A18.4B11.3B.A.2A$.4B43.4B12.5B28.5B8.B2.5A.A7.
8B2.B2A18.4B9.2A5.A$4B45.4B10.5B29.B.B5.2A.A.2A.A4.2A7.11B19.4B10.A5.
2A$3B47.4B8.5B31.3B4.A.2A.A2.A.2A10.11B18.4B13.A$2B49.4B6.7B7.2A20.B
2AB11.2A.A.3A7.11B17.4B13.2A$B51.4B4.8B7.A22.2A19.A8.11B15.4B$53.4B2.
11B2.BA.A52.2B.7B15.4B$54.17B.B2A52.11B14.4B$55.14BA3B54.10B14.4B$56.
4B.7BABA2B52.12B13.4B$55.13BABA2B50.13B13.4B$54.8B.B2.3BA3B49.17B9.4B
$53.4B2.4B4.6B49.18B7.4B$52.4B4.4B4.6B7.2A37.2AB.13B2A2B5.4B$51.4B6.
4B3.6B7.A37.A.AB3.4B.6B2AB5.4B$50.4B8.4B2.5B5.BA.A37.A8.B4.8B3.4B$49.
4B10.14B.B2A37.2A15.6B2.4B$48.4B12.15B55.7B.4B$47.4B14.14B55.6B.4B$
46.4B8.2A5.14B56.9B$45.4B10.A5.13B57.8B$44.4B11.A.AB2.12B57.8B$43.4B
13.2AB.9B.B59.7B$42.4B16.11B52.2A7.6B$41.4B17.13B23.2A2.A23.A6.7B$40.
4B18.9B.B2A.A20.A.4A23.A.AB3.7B$39.4B20.7B2.B2AB3A18.A29.2AB2.8B$38.
4B20.8B4.B4.A15.2A.7A24.11B$37.4B22.8B2.2A.3A14.A2.A.A3.B2.A23.11B$
36.4B24.7B3.A.A16.2A2.BA.2A2.2A23.11B$35.4B22.11B2.A.A20.2AB2AB6.2A
17.11B$34.4B22.11B4.A21.5B8.A18.7B$33.4B14.2A7.11B27.3B7.A14.2A4.8B$
32.4B14.A2.A2.2A2.11B26.5B6.5A11.A5.8B$31.4B16.2A2.A.A2.8B2.B2A24.2B
2A2B9.A11.A.AB2.7B$30.4B19.2A.B3.7B3.BA.A21.4B2A2B3.4AB14.2AB.9B$29.
4B20.A2.2B2.7B6.A21.9B2.A2.AB3.A12.11B$28.4B18.2A.A.BA2B.6B7.2A21.7B
4.4B2.A.A11.11B$27.4B19.A.2A.A.A8B29.15B3.A.A9.B.9B.B2A$26.4B24.A.A.
8B28.14B2A.A.A.A.AB2.14B2.BA.A$25.4B22.2A2.A4.5B28.15B2A.2A3.2AB.15B
5.A$25.3B21.3A.2A4.6B27.15B.B9.17B5.2A$26.B21.A4.B6.6B25.4B2.9B12.17B
$49.3AB2AB3.7B24.4B5.7B12.18B$51.A.2AB.8B24.4B4.9B13.17B$55.10B23.4B
5.2A4.4B6.A8.10B3.B2A$55.6B2A3B21.4B7.A5.4B5.3A6.12B.BA.A$55.6B2A2B5.
2A14.4B5.3A7.4B7.A5.4B.3B2.2A4.A$55.10B5.A2.A11.4B6.A10.4B5.2A4.4B.2B
4.A5.2A$54.11B2.BA.A.2A10.4B19.4B4.9B.2BAB4.3A$54.12B.B2A.A11.4B21.4B
5.6B3.A.A6.A$53.15B3.A10.4B23.4B2.8B4.A$52.16B3.3A7.4B25.15B$49.2B.
16B6.A5.4B27.14B$48.2A18B5.2A4.4B29.13B$48.2AB.17B4.9B31.10B.B2A$49.B
.4B.8B2.4B5.7B33.3B2AB3.BA.A$56.7B4.4B2.9B33.3B2AB6.A$57.6B5.15B.B32.
4B6.2A$59.4B6.15B2A.2A28.3B$61.3BA5.14B2A.A2.A23.AB.2B$62.BA.A5.15B3.
2A22.A.AB2AB$63.A.A7.3B2AB4.4B26.A.ABABAB$64.A8.3B2AB3.A2.AB23.2A.A.A
.A.A2.A$65.3A7.4B3.4AB23.A2.A2.2A.4A$67.A7.3B10.A23.2A4.A$72.AB.2B7.
5A29.A.A$71.A.AB2AB6.A34.2A$71.A.ABABAB7.A$68.2A.A.A.A.A2.A4.2A$68.A
2.A2.2A.4A$70.2A4.A$76.A.A$77.2A!
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dvgrn
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Re: Stable universal regulator

Postby dvgrn » August 24th, 2018, 8:22 am

dvgrn wrote:Had another crazy idea about universal regulators recently. When I tried it out, it turned out to reduce the minimum period for the drive gun all the way down to 155. (!)

Challenge: how much more can the minimum drive period be reduced? It seems vaguely possible that it could be knocked all the way down to the repeat time of a syringe -- 78, or even the overclocking limit at 74. First find a faster way to get the two gliders back to rebuild the eater... and then maybe increase the period multiplication to 12 or 16 instead of 8 (a tremi-Snark and a quadri-Snark, or two quadri-Snarks?).

Got around to a fresh construction attempt last night. This version can be run with a p120 drive gun, and it seems like there's still quite a bit of room for improvement:

x = 302, y = 212, rule = LifeHistory
84.A$84.3A$87.A$86.2A$86.4B$87.4B$76.4B2.B.3B.4B$76.4B.5BABA10B$75.2A
5B2A7B3A6B74.2A2.A$75.2A5BABA4B2A2BA6B73.A.4A$76.B.9B4AB2A6B73.A$78.B
2A8B3A10B69.2A.7A$79.2A7B2.13B66.A2.A.A3.B2.A$79.8B6.10B66.2A2.BA.2A
2.2A$81.7B7.7B71.2AB2AB6.2A$80.10B6.8B69.5B8.A$80.13B2.7B2A70.3B7.A$
81.21B2AB68.5B6.5A$83.22B.B20.A11.2A32.6B9.A$83.16B2A5B2A18.A.A9.B2AB
29.8B3.4AB$83.16B2A5B2A10.A3.2A2.A.A9.3B30.5B2A2B2.A2.AB$84.18B.4B10.
A.A2.A2.2A.2A9.B.B30.4B2AB4.4B$91.4B.3B.B2.4B10.A.A3.A.A2.B8.5B29.15B
3.2A$92.4B22.A.4A2.AB2A6.6B28.14B2A.A2.A$93.3BA23.A3.A.A.2A4.8B27.15B
2A.2A$94.3BA4.2A15.A2.BA.A2.13B27.15B.B$95.3AB4.A14.A.2BA.A5.13B24.4B
2.9B$96.4B3.A.AB11.2A.2BA5.15B22.4B5.7B$97.4B3.2AB.2A12.3B4.15B21.4B
4.9B$98.4B4.2B2AB12.2B.B.17B19.4B5.2A4.4B$99.4B3.4B6.29B18.4B7.A5.4B$
100.4B2.6B3.16B2A13B16.4B5.3A7.4B$101.4B2.6B2.16B2A14B2.2A10.4B6.A10.
4B$102.4B.7B.27B3.B2A2.A9.4B19.4B4.2A$98.2A3.38B4.A.B2A9.4B21.4B2.B2A
2B5.2A$99.A4.21B2.2B2.B3.6B5.A11.4B23.4B.5B5.A$99.A.AB2.17B14.6B5.3A
7.4B25.9B2.BA.A$100.2AB.16B14.9B7.A5.4B27.9B.B2A6.A$102.17B15.2A4.4B
5.2A4.4B29.10B6.3A$102.18B15.A5.4B4.10B30.9B5.A$104.16B12.3A7.4B5.7B
30.9B6.2A$105.9B.3B.B2A10.A10.4B2.9B29.11B2.5B$106.9B4.BA.A21.15B.B
26.16B$107.9B6.A22.15B2A.2A22.15B2A$105.5B2.5B5.2A22.14B2A.A2.A20.15B
2A$105.2A6.5B29.15B3.2A18.2AB.12B.B$106.A7.5B30.3B2AB4.4B21.A.AB.12B$
103.3A9.5B29.3B2AB3.A2.AB21.A6.9B$103.A12.5B30.4B3.4AB20.2A6.8B$117.
5B29.3B10.A26.7B$118.5B25.AB.2B7.5A25.11B$119.5B23.A.AB2AB6.A29.12B$
120.5B22.A.ABABAB7.A27.12B$121.5B18.2A.A.A.A.A2.A4.2A28.11B$122.4BA
17.A2.A2.2A.4A32.4B.4B3DB$123.4BA18.2A4.A36.2A4.4BD2B$124.B3AB23.A.A
35.A4.2B3D2B$125.5B23.2A32.3A6.6B$126.5B56.A8.7B$127.5B64.8B$128.5B
64.8B$129.5B63.9B$130.5B61.6B.4B$131.5B60.7B.4B$132.5B60.6B2.4B$133.
5B59.6B3.4B$134.5B58.6B4.4B$135.5B56.8B4.4B$136.5B54.8B6.4B$137.5B53.
9B6.4B$138.5B52.9B7.4B$139.5B50.10B8.4B$140.5B49.3B2A5B9.4B$141.5B47.
4B2A5B10.4B$142.3BDB46.11B11.4B$143.DBD2B12.A27.2A.A7BD4B12.4B$144.2D
3B9.3A27.A.2A2.4B3D2B14.4B36.2A$145.5B7.A37.2B2D2BD4.2A10.4B35.A.A$
146.7B4.2A37.6B4.A12.4B36.A4.2A$31.A11.2A102.7B.4B37.6B.BA.A13.4B31.
4A.2A2.A2.A$30.A.A9.B2AB102.9B38.7B.B2A15.4B24.2A4.A2.A.A.A.A.2A$22.A
3.2A2.A.A9.3B103.9B39.8B18.4B23.A7.BABABA.A$21.A.A2.A2.2A.2A9.B.B101.
5B2A3B32.A6.7B20.4B24.A6.B2ABA.A$21.A.A3.A.A2.B8.5B101.5BA3B33.3A4.7B
21.4B19.5A7.2B.BA$22.A.4A2.AB2A6.6B103.4B3AB23.A11.A2.7B4.B18.4B18.A
10.3B$24.A3.A.A.2A4.8B103.6BA2B22.3A8.2A3.6B.B.2BA18.4B19.B4A3.4B$6.
2A15.A2.BA.A2.13B103.11B24.A7.15BA.A18.4B18.BA2.A3.B2A3B$7.A14.A.2BA.
A5.13B100.13B10.A11.2A3.B5.7BD4B.BA20.4B17.4B4.B2A3B$7.A.AB11.2A.2BA
5.15B98.5B.9B7.3A11.8B2.7B3D3B6.2A16.4B12.2A3.15B$8.2AB.2A12.3B4.15B
97.B2D2B3.9B5.A16.15BD5B7.A17.4B11.A2.A.2A14B$10.2B2AB12.2B.B.17B95.
3B2D3.B2AB2.5B4.2A15.20B6.A5.2A13.4B12.2A.2A15B$10.4B6.29B94.3BDB5.2A
4.10B11.22B8.2A5.A14.4B15.B.15B$10.6B3.16B2A13B92.5B13.7B13.22B11.3B.
A.2A12.4B17.9B2.3B$11.6B2.16B2A14B90.5B3.2A.A.3A4.7B3.B2.2B2.25B7.2A
2B2A.A2.A13.4B10.A5.7B5.2B$11.7B.27B3.B2A88.5B4.A.2A.A2.A4.19BD14B4.
4B5.B2A2B.A.2A16.4B7.3A5.2B2.5B4.B$10.35B4.A2.A87.4B11.2AB3.20BDBD4B.
6B6.4B5.4B.A20.4B5.A7.4B4.2A$9.20B2.2B2.B3.6B5.2A.A85.4B13.14B2A9B3D
4B2.B.5B5.4B3.4B.2A21.4B4.2A5.4B5.A$9.17B14.6B7.A84.4B5.2A8.13B2A11BD
4B7.2A6.10B8.2A15.9B4.4B7.3A$9.15B14.9B6.2A82.6B3.A2.A8.29B8.A8.9B8.A
.A14.7B5.4B10.A$8.15B15.2A4.4B88.8B.B.A.A8.17B.4B16.3A6.8B.B8.A14.9B
2.4B$3.2A3.16B15.A5.4B86.11B2A2.2A7.15B3.2B19.A7.11B3.B.BA.2A8.B.15B$
4.A3.16B12.3A7.4B11.2A71.12B2.2A2.A6.15B3.3B26.7B2A3B.B2A.A.A5.2A.2A
15B$4.A.A15B.B2A10.A10.4B8.A2.A70.13B2A3.2A7.13B5.A2B.2A22.7B2A5B2A.A
.A3.A2.A.2A14B$5.2A2.12B2.BA.A14.2A5.4B5.5A70.13B2.A14.13B2.A.A2B.A
22.15B2.A.2A2.2A3.15B$9.13B4.A15.A5.4B4.A73.14B2.A14.8B4.2A.A.AB2.A
21.2AB.12B4A2.A6.4B4.B2A5B$8.15B3.2A14.A.AB.7B2.B3A69.15B3.3A11.6B6.
2ABA4.A21.A.AB.10B.BAB2.2A7.BA2.A2.2B2A5B$7.17B19.2AB.7B3.2B.A67.14B
7.A11.5B8.B2.5A.A19.A5.7B6.2A9.B4A3.8B$7.11B3.4B20.12B4A66.16B18.B.B
5.2A.A.2A.A4.2A18.2A5.4B.2B7.A7.A9.6B$7.11B4.4B19.7B2A3BAB2.2A63.2A
15B19.3B4.A.2A.A2.A.2A27.4B9.A9.5A6.5B$5.2AB.7B7.4B18.B2A4B2A2B.B3A2.
A61.ABA14B19.B2AB11.2A.A.3A23.4B10.2A12.A7.3B$4.A.AB.6B9.4B17.ABA7B3.
B.A.2A60.3BAB.11B21.2A19.A22.4B23.A8.5B$4.A5.4B11.4B15.3BA4B8.A62.5B.
9BD4B62.4B24.2A6.B2AB2A$3.2A6.5B10.4B13.9B7.2A61.5B2.2B2A4B3D4B60.4B
30.2A2.2A.AB2.2A$14.2A11.4B11.4B2.3B70.5B4.B2A3B2D2BD3B59.4B31.A2.B3.
A.A2.A$14.A13.4B9.4B3.5B67.4B6.14B58.4B33.7A.2A$15.3A11.4B7.4B7.2A66.
4B7.4B.8B58.4B41.A$17.A12.4B5.4B8.A66.4B9.2B.9B3.2A52.4B37.4A.A$31.4B
3.4B10.3A62.4B13.8B3.A.A51.4B38.A2.2A$32.4B.4B13.A61.4B13.9B3.A52.4B$
33.7B75.4B15.9B.2A51.4B$34.5B75.4B15.11B52.4B$34.5B74.4B15.12B51.4B$
33.7B72.4B16.12B50.4B$32.4B.4B70.4B10.2A6.10B50.4B101.2C$31.4B3.4B68.
4B12.A7.11B47.4B102.C.C$30.4B5.4B66.4B13.A.AB.14B46.4B105.C$29.4B7.4B
64.4B15.2AB.13B2A44.4B106.2C$28.4B9.4B62.4B18.15B2A43.4B$27.4B11.4B
60.4B18.15B.B43.4B$26.4B13.4B13.A44.4B20.14B44.4B$25.4B15.4B10.3A43.
4B19.2AB.11B44.4B$24.4B17.4B8.A45.4B19.A.AB3.9B43.4B$23.4B19.4B7.2A
43.4B20.A8.8B41.4B$22.4B21.4B3.5B42.4B20.2A9.7B40.4B$21.4B23.4B2.3B
43.4B29.11B38.4B$20.4B25.9B7.2A32.4B29.12B37.4B$19.4B27.8B8.A31.4B30.
12B36.4B$18.4B29.10B3.B.A.2A27.4B31.11B36.4B$17.4B30.7B2A2B.B3A2.A26.
4B20.2A.2A2.2A3.8B.4B33.4B$16.4B31.7B2A3BAB2.2A26.4B22.A.A2.A.A3.7B4.
2A32.4B$3.2A10.4B32.12B4A27.4B23.A2.2A.B4.7B4.A32.4B$4.A9.4B31.2AB.7B
3.2B.A26.4B25.A.A2.2B3.6B6.3A28.4B$2.A10.4B31.A.AB.7B2.B3A26.4B25.2A.
A.BA2B.7B8.A27.4B$2.5A5.4B5.2A25.A5.4B4.A28.4B29.A.A.A9B35.4B$7.A4.4B
5.A25.2A5.4B5.5A22.4B27.4A2.A.8B35.4B$4.3AB2.7B.BA.A31.4B8.A2.A20.4B
28.A3.2A4.6B34.4B$3.A.2B3.7B.B2A31.4B11.2A19.4B31.A.B6.6B32.4B$3.4A
12B32.4B32.4B31.2AB2AB3.7B31.4B$.2A2.BA3B2A7B31.4B32.4B35.2AB.8B31.4B
$A2.3AB.2B2A7B30.4B32.4B33.2A3.10B30.4B$2A.A.B3.10B29.4B32.4B34.A4.6B
2A3B28.4B$3.A8.8B27.4B32.4B36.A3.6B2A2B5.2A21.4B$3.2A7.9B25.4B32.4B
36.2A3.10B5.A21.4B$13.3B2.4B23.4B32.4B41.11B2.BA.A20.4B$11.5B3.4B21.
4B32.4B42.12B.B2A20.4B$11.2A7.4B19.4B32.4B42.15B21.4B$12.A8.4B17.4B
32.4B42.16B8.A11.4B$9.3A10.4B15.4B32.4B40.2B.16B8.3A8.4B$9.A13.4B13.
4B32.4B40.2A18B11.A6.4B$24.4B11.4B32.4B41.2AB.17B9.2A5.4B$25.4B9.4B7.
2A23.4B43.B.4B.8B2.4B8.5B.4B$26.4B7.4B7.A2.A21.4B51.7B4.4B9.7B$27.4B
5.4B8.3A2.AB17.4B53.6B5.4B7.7B3.2A$28.4B3.4B7.2A3.2A.AB.B13.4B56.4B6.
4B4.BA7B4.A$29.4B.4B7.A3.2A2.BA2B2A11.4B59.3BA5.4B2.BABA7B.A$30.7B9.
3A2.3AB.B2A10.4B61.BA.A5.7B2A8B2A$31.5B12.A.A2.2B2.B10.4B63.A.A6.15B
3.A$31.5B12.BABAB14.4B65.A5.2B.15B2A.A$30.7B12.BA3B12.4B67.3A.2A14B.B
A.A2.A$29.4B.4B12.4B11.4B70.A.2AB.11B3.BA2.2A$28.4B3.4B11.3B11.4B74.B
.11B$27.4B5.4B7.B.4B10.4B77.4B4.5B$26.4B7.4B.B3.8B.B4.B.4B77.5B7.2A$
11.A13.4B9.6B2.11B2.6B74.A2.A.2AB8.A$11.3A10.4B10.27B74.4A.A11.3A$14.
A8.4B10.29B78.A.A11.A$13.2A7.4B12.27B76.2A2.2A$13.5B3.4B13.27B76.A$
15.3B2.4B15.25B78.A$5.2A7.9B16.25B77.2A$5.A8.8B19.21B$2.2A.A.B3.10B
21.2B.13B.2B$2.A2.3AB.2B2A7B24.13B$3.2A2.BA3B2A7B25.11B$5.4A12B25.11B
$5.A.2B3.7B.B2A14.2A7.10B$6.3AB2.7B.BA.A2.2A10.A8.10B$9.A4.4B5.A2.A
11.A.AB6.11B$4.5A5.4B5.3A2.A10.2AB.3B.11B2A.2A.A$3.A2.A8.4B7.3A12.17B
2ABA.2A$3.2A11.4B5.A15.19B$17.4B4.2A15.19B$10.2A6.9B14.20B$11.A7.6B
14.20B$11.A.2A5.6B3.B2.2B2.22B$12.A2.A4.39B.B$13.2AB3.27B.13B2A$14.
14B2A16B2.12B2A$15.13B2A16B2.11B.B$16.29B3.9B$16.17B.B.2B10.6B.B$17.
15B4.3B10.5B$17.15B5.A2B.2A6.4B$18.13B5.A.A2B.A7.5B$20.13B2.A.AB2.A
11.2A$19.8B4.2A.A.A3.A12.A$19.6B6.2ABA2.4A.A11.3A$19.5B8.B2.A.A3.A.A
12.A$19.B.B9.2A.2A2.A2.A.A$20.3B9.A.A2.2A3.A$19.B2AB9.A.A$20.2A11.A!

The p1087 gun at left tests all phases of the regulator, resulting in a p130440 oscillator. (1085 is minimal but not relatively prime to 120.)

I _think_ that with some increase in size, adding extra period multiplier/reflectors and lengthening the signal paths, this one could get adjusted all the way down to the theoretical minimum drive gun period, somewhere around 78. This would not be due to the recovery time of the initial syringe; the limitation has to do with how quickly the top glider inserter can sneak an eater-rebuilding glider into the drive stream.

With the right search technique it seems as if it should be possible to put together a really compact universal regulator with about half the bounding box area of this one. I just haven't been able to dig up a lucky combination with the correct timing yet.

EDIT: Here's an alternate connection that improves the bounding box but not the recovery time, and also has a more reasonable glider output. Minimum test signal spacing is 1089 ticks... which may not be a nice round number, but at least it's a nice square number:

x = 237, y = 165, rule = LifeHistory
95.A$29.A11.2A52.3A$28.A.A9.B2AB54.A$20.A3.2A2.A.A9.3B54.2A$19.A.A2.A
2.2A.2A9.B.B53.4B88.2A2.A$8.2A9.A.A3.A.A2.B8.5B54.4B86.A.4A$8.A6.2A3.
A.4A2.AB2A6.6B43.4B2.B.3B.4B85.A$10.A5.A5.A3.A.A.2A4.8B43.4B.5BABA10B
76.2A.7A$6.4A.A.3A5.A2.BA.A2.13B43.2A5B2A7B3A6B73.A2.A.A3.B2.A$6.A2.A
.A.A6.A.2BA.A5.13B41.2A5BABA4B2A2BA6B73.2A2.BA.2A2.2A$7.3BA3B6.2A.2BA
5.15B41.B.9B4AB2A6B77.2AB2AB6.2A$8.3B.B11.3B4.15B43.B2A8B3A10B75.5B8.
A$2.2A5.5B11.2B.B.17B43.2A7B2.13B75.3B7.A$2.A.A4.5B4.29B43.8B6.10B74.
5B6.5A$4.A4.6B2.16B2A13B44.7B7.7B75.6B9.A$4.2A3.6B2.16B2A14B42.10B6.
8B71.8B3.4AB$.A4.2B.7B.27B3.B2A41.13B2.7B2A71.5B2A2B2.A2.AB$.5A37B4.A
2.A41.21B2AB71.4B2AB4.4B$5.A21B2.2B2.B3.6B5.2A.A42.22B.B20.A11.2A34.
15B3.2A$3.2A19B14.6B7.A42.16B2A5B2A18.A.A9.B2AB32.14B2A.A2.A8.2A$3.A.
17B14.9B6.2A41.16B2A5B2A10.A3.2A2.A.A9.3B32.15B2A.2A10.A$4.A.15B15.2A
4.4B49.18B.4B10.A.A2.A2.2A.2A9.B.B30.15B.B15.A$.3A4.13B16.A5.4B55.4B.
3B.B2.4B10.A.A3.A.A2.B8.5B29.4B2.9B8.2A5.4A$.A6.15B11.3A7.4B55.4B22.A
.4A2.AB2A6.6B28.4B5.7B6.2B2AB4.A$7.9B.B3.2A11.A10.4B55.3BA23.A3.A.A.
2A4.8B27.4B4.9B6.4B7.B3A$7.10B4.A24.4B10.2A43.3BA4.2A15.A2.BA.A2.13B
27.4B5.2A4.4B5.3B8.BA2.A.A$7.4B3.4B4.3A22.4B9.A45.3AB4.A14.A.2BA.A5.
13B24.4B7.A5.4B5.3B5.3B2.2A.3A$7.2B2AB3.4B5.A23.4B10.A44.4B3.A.AB11.
2A.2BA5.15B22.4B5.3A7.4B2.7B2.4B3.B4.A$9.2A5.4B22.2A5.4B5.5A45.4B3.2A
B.2A12.3B4.15B21.4B6.A10.18B.B2AB3A$17.4B22.A5.4B4.A51.4B4.2B2AB12.2B
.B.17B19.4B19.17B.B2A.A$18.4B21.A.AB.7B2.B3A49.4B3.4B6.29B18.4B21.20B
$19.4B21.2AB.7B3.2B.A49.4B2.6B3.16B2A13B16.4B22.18B$20.4B22.12B4A50.
4B2.6B2.16B2A14B2.2A10.4B24.19B$21.4B21.7B2A3BAB2.2A49.4B.7B.27B3.B2A
2.A9.4B25.21B$22.4B20.7B2A2B.B3A2.A44.2A3.38B4.A.B2A9.4B26.21B$23.4B
19.10B3.B.A.2A45.A4.21B2.2B2.B3.6B5.A11.4B27.20B$24.4B17.8B8.A48.A.AB
2.17B14.6B5.3A7.4B29.17B$25.4B15.9B7.2A49.2AB.16B14.9B7.A5.4B30.14B.B
$26.4B13.4B2.3B61.17B15.2A4.4B5.2A4.4B31.12B$27.4B11.4B3.5B59.18B15.A
5.4B4.10B30.13B$28.4B9.4B7.2A61.16B12.3A7.4B5.7B30.15B$29.4B7.4B8.A
63.9B.3B.B2A10.A10.4B2.9B29.16B$30.4B5.4B10.3A61.9B4.BA.A21.15B.B25.
17B$31.4B3.4B13.A62.9B6.A22.15B2A.2A22.16B$32.4B.4B75.5B2.5B5.2A22.
14B2A.A2.A20.14B$33.7B76.2A6.5B29.15B3.2A20.6B2A2B$34.5B78.A7.5B30.3B
2AB4.4B24.6B2A2B$34.5B75.3A9.5B29.3B2AB3.A2.AB24.11B$33.7B74.A12.5B
30.4B3.4AB26.8B$32.4B.4B87.5B29.3B10.A24.8B$31.4B3.4B13.A73.5B25.AB.
2B7.5A24.7B$30.4B5.4B10.3A74.5B23.A.AB2AB6.A28.7B$29.4B7.4B8.A78.5B
22.A.ABABAB7.A26.7B$28.4B9.4B7.2A78.5B18.2A.A.A.A.A2.A4.2A27.6B$27.4B
11.4B3.5B79.4BA17.A2.A2.2A.4A34.5B$26.4B13.4B2.3B82.4BA18.2A4.A38.6B$
25.4B15.9B7.2A73.B3AB23.A.A35.6B$24.4B17.8B8.A74.5B23.2A35.7B$23.4B
19.10B3.B.A.2A72.5B60.6B$22.4B20.7B2A2B.B3A2.A73.5B59.6B$21.4B21.7B2A
3BAB2.2A75.5B58.6B$20.4B22.12B4A78.5B56.8B$19.3AB21.2AB.7B3.2B.A79.5B
54.8B$18.3BA21.A.AB.7B2.B3A81.5B53.9B$17.3BA22.A5.4B4.A85.5B52.9B$16.
4B22.2A5.4B5.5A81.5B50.10B$3.2A10.4B29.4B10.A82.5B49.3B2A5B$4.A9.4B
29.4B9.A85.5B47.4B2A5B$2.A10.4B29.4B10.2A85.3BDB46.11B$2.5A5.4B5.2A
22.4B99.DBD2B12.A27.2A.A7BD4B$7.A4.4B5.A22.4B101.2D3B9.3A27.A.2A2.4B
3D2B$4.3AB2.7B.BA.A21.4B103.5B7.A37.2B2D2BD4.2A$3.A.2B3.7B.B2A21.4B
105.7B4.2A37.6B4.A$3.4A12B22.4B107.7B.4B37.6B.BA.A$.2A2.BA3B2A7B21.4B
109.9B38.7B.B2A$A2.3AB.2B2A7B20.4B110.9B39.8B$2A.A.B3.10B19.4B110.5B
2A3B32.A6.7B$3.A8.8B17.4B111.5BA3B33.3A4.7B$3.2A7.9B15.4B114.4B3AB23.
A11.A2.7B4.B$13.3B2.4B13.4B115.6BA2B22.3A8.2A3.6B.B.2BA$11.5B3.4B11.
4B115.11B24.A7.15BA.A$11.2A7.4B9.4B115.13B10.A11.2A3.B5.7BD4B.BA$12.A
8.4B7.4B115.5B.9B7.3A11.8B2.7B3D3B$9.3A10.4B5.4B115.B2D2B3.9B5.A16.
15BD5B$9.A13.4B3.4B115.3B2D3.B2AB2.5B4.2A15.20B$24.4B.4B115.3BDB5.2A
4.10B11.22B$25.7B115.5B13.7B13.22B$26.5B115.5B3.2A.A.3A4.7B3.B2.2B2.
25B13.2A$26.5B114.5B4.A.2A.A2.A4.19BD14B4.4B13.A$25.7B112.5B11.2AB3.
20BDBD4B.6B6.4B10.A5.2A$10.A13.4B.4B110.5B13.14B2A9B3D4B2.B.5B5.4B9.
2A5.A$10.3A10.4B3.4B108.5B15.13B2A11BD4B7.2A6.4B11.3B.A.2A$13.A8.4B5.
4B106.5B16.30B8.A8.4B7.2A2B2A.A2.A$12.2A7.4B7.4B104.5B18.17B.4B16.3A
6.4B5.B2A2B.A.2A$12.5B3.4B9.4B102.5B19.16B3.2B19.A7.4B5.4B.A$14.3B2.
4B11.4B100.5B21.15B3.3B27.4B3.4B.2A$4.2A7.9B13.4B98.5B23.13B5.A2B.2A
24.10B8.2A$4.A8.8B15.4B96.5B26.13B2.A.A2B.A25.9B8.A.A$.2A.A.B3.10B17.
4B18.A75.5B26.8B4.2A.A.AB2.A27.8B.B8.A$.A2.3AB.2B2A7B18.4B11.2A3.A.A
73.5B27.6B6.2ABA4.A29.11B3.B.BA.2A$2.2A2.BA3B2A7B19.4B11.A3.A2.A71.5B
28.5B8.B2.5A.A27.7B2A3B.B2A.A.A$4.4A12B20.4B10.A.2A.A.A70.5B29.B.B5.
2A.A.2A.A4.2A27.7B2A5B2A.A.A$4.A.2B3.7B.B2A19.4B10.A.A.A.2A68.5B31.3B
4.A.2A.A2.A.2A30.15B2.A.2A$5.3AB2.7B.BA.A19.4B10.2B2A.A2.A65.5B31.B2A
B11.2A.A.3A25.2AB.12B4A2.A$8.A3.5B5.A20.4B10.4B2.2A64.5B33.2A19.A24.A
.AB.10B.BAB2.2A$3.5A5.4B5.2A20.4B6.7B67.5B80.A5.7B6.2A$3.A10.4B27.4B
3.8B67.5B80.2A5.4B.2B7.A$5.A9.4B22.2A3.4B.8B67.5B87.4B9.A$4.2A10.4B
22.A4.12B66.5B87.4B10.2A$17.4B21.A.AB2.11B.2B62.5B87.4B$18.4B10.A10.
2AB.14B2A60.5B87.4B$19.4B7.3A12.16B2A59.5B87.4B$20.4B5.A15.14B.2B59.
5B87.4B$21.4B4.2A15.13B61.5B87.4B$14.2A6.9B14.14B.2B57.5B87.4B$15.A7.
6B14.18B2A55.5B87.4B$15.A.2A5.6B3.B2.2B2.19B.B2A54.5B87.4B$16.A2.A4.
35B2.B54.5B39.A11.2A34.4B$17.2AB3.27B.8B56.5B39.A.A9.B2AB32.4B$18.14B
2A16B2.7B55.5B32.A3.2A2.A.A9.3B32.4B$19.13B2A16B2.7B54.6B18.A12.A.A2.
A2.2A.2A9.B.B30.4B$20.29B3.7B53.7B18.3A10.A.A3.A.A2.B8.5B29.4B$20.17B
.B.2B11.6B.BA49.9B20.A10.A.4A2.AB2A6.6B28.4B$21.15B4.3B10.7BA.A47.10B
19.2A12.A3.A.A.2A4.8B27.4B$21.15B5.A2B.2A6.8BA47.11B19.4B9.A2.BA.A2.
13B27.4B$22.13B5.A.A2B.A6.6B.B47.13B20.3B7.A.2BA.A5.13B24.4B$24.13B2.
A.AB2.A7.5B49.2C13B18.4B7.2A.2BA5.15B22.4B$23.8B4.2A.A.A3.A8.6B47.CBC
13B8.2A8.5B10.3B4.15B21.4B$23.6B6.2ABA2.4A.A4.2AB.5B45.3BC.11B9.A8.6B
11.2B.B.17B19.4B$23.5B8.B2.A.A3.2A3.A.AB3.4B43.4B3.12B4.BA.A8.8B2.29B
18.4B$23.B.B9.2A.2A.A.A6.A7.4B41.4B4.15B.B2A8.26B2A13B16.4B$24.3B9.A.
A3.A.3A2.2A8.4B39.4B5.17B11.25B2A14B2.2A10.4B$23.B2AB9.A.A4.A2.A13.4B
37.4B6.17B12.7B.27B3.B2A2.A9.4B$24.2A11.A6.2A15.4B35.4B4.B.17B12.35B
4.A.B2A9.4B$62.4B33.4B4.2A19B11.19B2.2B2.B3.6B5.A11.4B$63.4B31.4B5.2A
B.19B8.17B14.6B5.3A7.4B$64.4B29.4B7.B4.20B2.2B.15B14.9B7.A5.4B$65.4B
27.4B13.16BD22B15.2A4.4B5.2A4.4B$66.4B25.4B14.9B.4BDBD13B.8B16.A5.4B
4.9B$67.4B23.4B8.A7.7B2.4B3D9B2A2B3.8B11.3A7.4B5.7B$68.4B21.4B9.3A5.
7B2.4BD11B2A2B5.B3.2A11.A10.4B2.9B$69.4B19.4B13.A4.6B4.18B10.A23.16B.
B$70.4B10.A6.4B13.2A4.7B10.4B.3B.B12.3A20.B.15B2A.2A$71.4B7.3A5.4B14.
5B.6B10.4B3.B17.A23.14B2A.A2.A$72.4B5.A7.4B17.10B6.2A.2BA.B3.B42.15B
3.2A$73.4B4.2A5.4B8.2A7.11B6.A.2BA.A48.4B2AB4.4B$74.9B4.4B9.A8.11B7.A
2.BA.A2.2B42.5B2A2B2.A2.AB$75.6B5.4B7.2A.A.B3.15B7.A3.A.A.2A42.8B3.4A
B$75.8B2.4B8.A2.3AB.2B2A10B2A5.A.4A2.AB2A44.6B9.A$73.15B10.2A2.BA3B2A
8B2.AB4.A.A3.A.A2.B44.A5B6.5A$73.14B13.4A12B4.3A2.A.A2.A2.2A.2A42.A.A
B2AB6.A$73.13B14.A.2B3.7B.B2A4.A3.A3.2A2.A.A43.A.ABABAB7.A$71.2AB.10B
16.3AB2.7B.BA.A15.A.A40.2A.A.A.A.A2.A4.2A$70.A.AB3.B2A4B20.A4.4B5.A
16.A41.A2.A2.2A.4A$70.A6.B2A3B16.5A5.4B5.2A59.2A4.A$69.2A6.4B17.A2.A
8.4B71.A.A$78.3B17.2A11.4B71.2A$79.2B.BA28.4B$78.B2ABA.A28.4B$77.BABA
BA.A29.4B$75.A2.A.A.A.A.2A27.4B$75.4A.2A2.A2.A29.B2C$79.A4.2A31.BC.C$
77.A.A40.C$77.2A41.2C!

Unfortunately it has a common factor of 3 with the p120 drive gun, so this is only a period 43560 oscillator. Here's a p1091 gun testing all phases of the regulator, making a p130920 oscillator:

x = 218, y = 165, rule = LifeHistory
76.A$76.3A$79.A$78.2A$78.4B88.2A2.A$79.4B86.A.4A$68.4B2.B.3B.4B85.A$
68.4B.5BABA10B76.2A.7A$67.2A5B2A7B3A6B73.A2.A.A3.B2.A$67.2A5BABA4B2A
2BA6B73.2A2.BA.2A2.2A$68.B.9B4AB2A6B77.2AB2AB6.2A$70.B2A8B3A10B75.5B
8.A$71.2A7B2.13B75.3B7.A$71.8B6.10B74.5B6.5A$73.7B7.7B75.6B9.A$72.10B
6.8B71.8B3.4AB$72.13B2.7B2A71.5B2A2B2.A2.AB$73.21B2AB71.4B2AB4.4B$75.
22B.B20.A11.2A34.15B3.2A$75.16B2A5B2A18.A.A9.B2AB32.14B2A.A2.A8.2A$
29.A11.2A32.16B2A5B2A10.A3.2A2.A.A9.3B32.15B2A.2A10.A$28.A.A9.B2AB32.
18B.4B10.A.A2.A2.2A.2A9.B.B30.15B.B15.A$20.A3.2A2.A.A9.3B40.4B.3B.B2.
4B10.A.A3.A.A2.B8.5B29.4B2.9B8.2A5.4A$19.A.A2.A2.2A.2A9.B.B40.4B22.A.
4A2.AB2A6.6B28.4B5.7B6.2B2AB4.A$19.A.A3.A.A2.B8.5B41.3BA23.A3.A.A.2A
4.8B27.4B4.9B6.4B7.B3A$20.A.4A2.AB2A6.6B42.3BA4.2A15.A2.BA.A2.13B27.
4B5.2A4.4B5.3B8.BA2.A.A$22.A3.A.A.2A4.8B43.3AB4.A14.A.2BA.A5.13B24.4B
7.A5.4B5.3B5.3B2.2A.3A$4.2A15.A2.BA.A2.13B45.4B3.A.AB11.2A.2BA5.15B
22.4B5.3A7.4B2.7B2.4B3.B4.A$5.A14.A.2BA.A5.13B44.4B3.2AB.2A12.3B4.15B
21.4B6.A10.18B.B2AB3A$5.A.AB11.2A.2BA5.15B44.4B4.2B2AB12.2B.B.17B19.
4B19.17B.B2A.A$6.2AB.2A12.3B4.15B45.4B3.4B6.29B18.4B21.20B$8.2B2AB12.
2B.B.17B45.4B2.6B3.16B2A13B16.4B22.18B$8.4B6.29B46.4B2.6B2.16B2A14B2.
2A10.4B24.19B$8.6B3.16B2A13B46.4B.7B.27B3.B2A2.A9.4B25.21B$9.6B2.16B
2A14B41.2A3.38B4.A.B2A9.4B26.21B$9.7B.27B3.B2A41.A4.21B2.2B2.B3.6B5.A
11.4B27.20B$8.35B4.A2.A40.A.AB2.17B14.6B5.3A7.4B29.17B$7.20B2.2B2.B3.
6B5.2A.A40.2AB.16B14.9B7.A5.4B30.14B.B$7.17B14.6B7.A42.17B15.2A4.4B5.
2A4.4B31.12B$7.15B14.9B6.2A41.18B15.A5.4B4.10B30.13B$6.15B15.2A4.4B
50.16B12.3A7.4B5.7B30.15B$.2A3.16B15.A5.4B50.9B.3B.B2A10.A10.4B2.9B
29.16B$2.A3.16B12.3A7.4B50.9B4.BA.A21.15B.B25.17B$2.A.A15B.B2A10.A10.
4B50.9B6.A22.15B2A.2A22.16B$3.2A2.12B2.BA.A21.4B10.2A35.5B2.5B5.2A22.
14B2A.A2.A20.14B$7.13B4.A22.4B9.A36.2A6.5B29.15B3.2A20.6B2A2B$6.15B3.
2A22.4B10.A35.A7.5B30.3B2AB4.4B24.6B2A2B$5.17B20.2A5.4B5.5A32.3A9.5B
29.3B2AB3.A2.AB24.11B$5.11B3.4B20.A5.4B4.A37.A12.5B30.4B3.4AB26.8B$5.
11B4.4B19.A.AB.7B2.B3A48.5B29.3B10.A24.8B$3.2AB.7B7.4B19.2AB.7B3.2B.A
48.5B25.AB.2B7.5A24.7B$2.A.AB.6B9.4B20.12B4A49.5B23.A.AB2AB6.A28.7B$
2.A5.4B11.4B19.7B2A3BAB2.2A48.5B22.A.ABABAB7.A27.6B$.2A6.5B10.4B18.7B
2A2B.B3A2.A48.5B18.2A.A.A.A.A2.A4.2A27.6B$12.2A11.4B17.10B3.B.A.2A49.
4BA17.A2.A2.2A.4A34.5B$12.A13.4B15.8B8.A53.4BA18.2A4.A38.6B$13.3A11.
4B13.9B7.2A54.B3AB23.A.A35.6B$15.A12.4B11.4B2.3B65.5B23.2A35.7B$29.4B
9.4B3.5B64.5B60.6B$30.4B7.4B7.2A65.5B59.6B$31.4B5.4B8.A67.5B58.6B$32.
4B3.4B10.3A65.5B56.8B$33.4B.4B13.A66.5B54.8B$34.7B82.5B53.9B$35.5B84.
5B52.9B$35.5B85.5B50.10B$34.7B85.5B49.3B2A5B$33.4B.4B13.A71.5B47.4B2A
5B$32.4B3.4B10.3A72.3BDB46.11B$31.4B5.4B8.A76.DBD2B12.A27.2A.A7BD4B$
30.4B7.4B7.2A76.2D3B9.3A27.A.2A2.4B3D2B$29.4B9.4B3.5B77.5B7.A37.2B2D
2BD4.2A$28.4B11.4B2.3B80.7B4.2A37.6B4.A$27.4B13.9B7.2A71.7B.4B37.6B.B
A.A$26.4B15.8B8.A72.9B38.7B.B2A$25.4B17.10B3.B.A.2A69.9B39.8B$24.4B
18.7B2A2B.B3A2.A68.5B2A3B32.A6.7B$23.4B19.7B2A3BAB2.2A69.5BA3B33.3A4.
7B$22.4B20.12B4A73.4B3AB23.A11.A2.7B4.B$21.4B19.2AB.7B3.2B.A73.6BA2B
22.3A8.2A3.6B.B.2BA$20.4B19.A.AB.7B2.B3A73.11B24.A7.15BA.A$19.4B20.A
5.4B4.A75.13B10.A11.2A3.B5.7BD4B.BA$18.4B20.2A5.4B5.5A69.5B.9B7.3A11.
8B2.7B3D3B$17.4B27.4B10.A68.B2D2B3.9B5.A16.15BD5B$16.4B27.4B9.A69.3B
2D3.B2AB2.5B4.2A15.20B$3.2A10.4B27.4B10.2A67.3BDB5.2A4.10B11.22B$4.A
9.4B27.4B79.5B13.7B13.22B$2.A10.4B27.4B79.5B3.2A.A.3A4.7B3.B2.2B2.25B
13.2A$2.5A5.4B5.2A20.4B79.5B4.A.2A.A2.A4.19BD14B4.4B13.A$7.A4.4B5.A
20.4B79.5B11.2AB3.20BDBD4B.6B6.4B10.A5.2A$4.3AB2.7B.BA.A19.4B79.5B13.
14B2A9B3D4B2.B.5B5.4B9.2A5.A$3.A.2B3.7B.B2A19.4B79.5B15.13B2A11BD4B7.
2A6.4B11.3B.A.2A$3.4A12B20.4B79.5B16.30B8.A8.4B7.2A2B2A.A2.A$.2A2.BA
3B2A7B19.4B79.5B18.17B.4B16.3A6.4B5.B2A2B.A.2A$A2.3AB.2B2A7B18.4B79.
5B19.16B3.2B19.A7.4B5.4B.A$2A.A.B3.10B17.4B79.5B21.15B3.3B27.4B3.4B.
2A$3.A8.8B15.4B79.5B23.13B5.A2B.2A24.10B8.2A$3.2A7.6B3A13.4B79.5B26.
13B2.A.A2B.A25.9B8.A.A$13.3B2.A3B11.4B79.5B26.8B4.2A.A.AB2.A27.8B.B8.
A$11.5B3.A3B9.4B79.5B27.6B6.2ABA4.A29.11B3.B.BA.2A$11.2A7.4B7.4B79.5B
28.5B8.B2.5A.A27.7B2A3B.B2A.A.A$12.A8.4B5.4B79.5B29.B.B5.2A.A.2A.A4.
2A27.7B2A5B2A.A.A$9.3A10.4B3.4B79.5B31.3B4.A.2A.A2.A.2A30.15B2.A.2A$
9.A13.4B.4B79.5B31.B2AB11.2A.A.3A25.2AB.12B4A2.A$24.7B79.5B33.2A19.A
24.A.AB.10B.BAB2.2A$25.5B79.5B80.A5.7B6.2A$25.5B78.5B80.2A5.4B.2B7.A$
24.7B76.5B87.4B9.A$9.A13.4B.4B74.5B87.4B10.2A$9.3A10.4B3.4B72.5B87.4B
$12.A8.4B5.4B70.5B87.4B$11.2A7.4B7.4B68.5B87.4B$11.5B3.4B9.4B66.5B87.
4B$13.3B2.4B11.4B64.5B87.4B$3.2A7.9B13.4B62.5B87.4B$3.A8.8B15.4B60.5B
87.4B$2A.A.B3.10B17.4B18.A39.5B87.4B$A2.3AB.2B2A7B18.4B11.2A3.A.A37.
5B39.A11.2A34.4B$.2A2.BA3B2A7B19.4B11.A3.A2.A35.5B39.A.A9.B2AB32.4B$
3.4A12B20.4B10.A.2A.A.A34.5B32.A3.2A2.A.A9.3B32.4B$3.A.2B3.7B.B2A19.
4B10.A.A.A.2A32.6B18.A12.A.A2.A2.2A.2A9.B.B30.4B$4.3AB2.7B.BA.A19.4B
10.2B2A.A2.A29.7B18.3A10.A.A3.A.A2.B8.5B29.4B$7.A4.4B5.A20.4B10.4B2.
2A28.9B20.A10.A.4A2.AB2A6.6B28.4B$2.5A5.4B5.2A20.4B6.7B31.10B19.2A12.
A3.A.A.2A4.8B27.4B$2.A10.4B27.4B3.8B31.11B19.4B9.A2.BA.A2.13B27.4B$4.
A9.4B22.2A3.4B.8B31.13B20.3B7.A.2BA.A5.13B24.4B$3.2A10.4B22.A4.12B30.
2C13B18.4B7.2A.2BA5.15B22.4B$16.4B21.A.AB2.11B.2B26.CBC13B8.2A8.5B10.
3B4.15B21.4B$17.4B10.A10.2AB.14B2A24.3BC.11B9.A8.6B11.2B.B.17B19.4B$
18.4B7.3A12.16B2A23.4B3.12B4.BA.A8.8B2.29B18.4B$19.4B5.A15.14B.2B23.
4B4.15B.B2A8.26B2A13B16.4B$20.4B4.2A15.13B25.4B5.17B11.25B2A14B2.2A
10.4B$13.2A6.9B14.14B.2B21.4B6.17B12.7B.27B3.B2A2.A9.4B$14.A7.6B14.
18B2A19.4B4.B.17B12.35B4.A.B2A9.4B$14.A.2A5.6B3.B2.2B2.19B.B2A18.4B4.
2A19B11.19B2.2B2.B3.6B5.A11.4B$15.A2.A4.35B2.B18.4B5.2AB.19B8.17B14.
6B5.3A7.4B$16.2AB3.27B.8B20.4B7.B4.20B2.2B.15B14.9B7.A5.4B$17.14B2A
17B.7B19.4B13.16BD22B15.2A4.4B5.2A4.4B$18.13B2A25B18.4B14.9B.4BDBD13B
.8B16.A5.4B4.9B$19.39B17.4B8.A7.7B2.4B3D9B2A2B3.8B11.3A7.4B5.7B$19.
17B.B.2B8.9B.BA13.4B9.3A5.7B2.4BD11B2A2B5.B3.2A11.A10.4B2.9B$20.15B4.
3B8.9BA.A11.4B13.A4.6B4.18B10.A23.16B.B$20.15B5.A2B.2A5.9BA4.A6.4B13.
2A4.7B10.4B.3B.B12.3A20.B.15B2A.2A$21.13B5.A.A2B.A6.6B.B3.3A5.4B14.5B
.6B10.4B3.B17.A23.14B2A.A2.A$23.13B2.A.AB2.A7.5B5.A7.4B17.10B6.2A.2BA
.B3.B42.15B3.2A$22.8B4.2A.A.A3.A8.6B4.2A5.4B8.2A7.11B6.A.2BA.A48.4B2A
B4.4B$22.6B6.2ABA2.4A.A4.2AB.10B4.4B9.A8.11B7.A2.BA.A2.2B42.5B2A2B2.A
2.AB$22.5B8.B2.A.A3.2A3.A.AB3.6B5.4B7.2A.A.B3.15B7.A3.A.A.2A42.8B3.4A
B$22.B.B9.2A.2A.A.A6.A6.8B2.4B8.A2.3AB.2B2A10B2A5.A.4A2.AB2A44.6B9.A$
23.3B9.A.A3.A.3A2.2A4.15B10.2A2.BA3B2A8B2.AB4.A.A3.A.A2.B44.A5B6.5A$
22.B2AB9.A.A4.A2.A8.14B13.4A12B4.3A2.A.A2.A2.2A.2A42.A.AB2AB6.A$23.2A
11.A6.2A9.13B14.A.2B3.7B.B2A4.A3.A3.2A2.A.A43.A.ABABAB7.A$52.2AB.10B
16.3AB2.7B.BA.A15.A.A40.2A.A.A.A.A2.A4.2A$51.A.AB3.B2A4B20.A4.4B5.A
16.A41.A2.A2.2A.4A$51.A6.B2A3B16.5A5.4B5.2A59.2A4.A$50.2A6.4B17.A2.A
8.4B71.A.A$59.3B17.2A11.4B71.2A$60.2B.BA28.4B$59.B2ABA.A28.4B$58.BABA
BA.A29.4B$56.A2.A.A.A.A.2A27.4B$56.4A.2A2.A2.A29.B2C$60.A4.2A31.BC.C$
58.A.A40.C$58.2A41.2C!

I haven't tried swapping out the top glider inserter, so maybe that's the next thing to knock the bounding box down a little farther. Looks like an RNET-19 edge shooter might work there, or the BNE14 except that I don't think a p120 drive gun can be used with the BNE14. Maybe there are other transparent-lane inserters that would be better, I haven't really done a full survey yet.
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