Stable universal regulator

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dvgrn
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Stable universal regulator

Post by 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:

Code: Select all

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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simsim314
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Re: Stable universal regulator

Post by 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

Post by 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:

Code: Select all

#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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$$8bo168bo$7boo168boobo$7bobo169boo3$146bo32boo3boo$139boo5b3o5boo3bo
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60boo$26boo31boo125boo$186boo4$57bo$8boo37boo7bobo92bo$9bo37boo7bobo
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117bo19bo$8boo161bobo5bo9bobo$44boo126boo3bobo9boo$43bobo130bobo$45bo
129bobbo$27boo147bobo$28bo137bo10bobo$28bobo136bo11bo$29boo134b3o4$10b
oboo181boo$10boobo165bo14boo$178bo11boo4bo$19boo157b3o9boo$19boo5$181b
o28boo$160bobo19bo28bo$163bo16b3o28bobo7bo$159bo3bo48boo7b4o$163bo58b
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31boo33bobo$9bobo171boo8boo38bo$10boo114bo56boo8bobo26bobo$125bobo66bo
27boo$108boo15boobo94bo$108bobo14booboo3boo$103boo6bo13boobo4boo25bo
24bo9bo22boo$99boobobbobbobbo13bobo33bo21boo9b3o21boo$99boobboo6bo8bo
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ooboo$168bobo$169bo$169bo5$168boo$168boo!

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dvgrn
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Re: Stable universal regulator

Post by 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

Post by 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):

Code: Select all

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!

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: Stable universal regulator

Post by 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:

Code: Select all

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!

User avatar
dvgrn
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Posts: 6986
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Stable universal regulator

Post by 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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dvgrn
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Posts: 6986
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Stable universal regulator

Post by 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.

Code: Select all

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

Code: Select all

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

Post by 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.

Code: Select all

#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:

Code: Select all

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.

Code: Select all

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

Post by 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:

Code: Select all

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.
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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
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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
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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
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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:

Code: Select all

x = 222, y = 169, rule = LifeHistory
29.A11.2A37.A$28.A.A9.B2AB36.3A$20.A3.2A2.A.A9.3B40.A$19.A.A2.A2.2A.
2A9.B.B38.2A$8.2A9.A.A3.A.A2.B8.5B38.4B88.2A2.A$8.A6.2A3.A.4A2.AB2A6.
6B39.4B86.A.4A$10.A5.A5.A3.A.A.2A4.8B28.4B2.B.3B.4B85.A$6.4A.A.3A5.A
2.BA.A2.13B29.4B.18B76.2A.7A$6.A2.A.A.A6.A.2BA.A5.13B26.2A5B2A16B73.A
2.A.A3.B2.A$7.3BA3B6.2A.2BA5.15B25.2A5B2A8B3A5B73.2A2.BA.2A2.2A$8.3B.
B11.3B4.15B26.B.14BA7B77.2AB2AB6.2A$2.2A5.5B11.2B.B.17B27.B2A12BA3B4A
B75.5B8.A$2.A.A4.5B4.29B28.2A7B2.10B2AB75.3B7.A$4.A4.6B2.16B2A13B27.
8B6.3BA2BAB2A74.5B6.5A$4.2A3.6B2.16B2A14B28.7B7.B2ABABA75.6B9.A$.A4.
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6B7.A27.22B.B20.A11.2A34.15B3.2A$3.A.17B14.9B6.2A26.16B2A5B2A18.A.A9.
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32.15B2A.2A10.A$.3A4.13B16.A5.4B33.18B.4B10.A.A2.A2.2A.2A9.B.B30.15B.
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4.A24.4B10.2A27.4B23.A3.A.A.2A4.8B27.4B4.9B6.4B7.B3A$7.4B3.4B4.3A22.
4B9.A29.4B4.2A15.A2.BA.A2.13B27.4B5.2A4.4B5.3B8.BA2.A.A$7.2B2AB3.4B5.
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22.2A5.4B5.5A29.4B3.A.AB11.2A.2BA5.15B22.4B5.3A7.4B2.7B2.4B3.B4.A$17.
4B22.A5.4B4.A35.4B3.2AB.2A12.3B4.15B21.4B6.A10.18B.B2AB3A$18.4B21.A.A
B.7B2.B3A33.4B4.2B2AB12.2B.B.17B19.4B19.17B.B2A.A$19.4B21.2AB.7B3.2B.
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18B$21.4B21.7B2A3BAB2.2A33.3BA2.6B2.16B2A14B2.2A10.4B24.19B$22.4B20.
7B2A2B.B3A2.A33.3BA.7B.27B3.B2A2.A9.4B25.21B$23.4B19.10B3.B.A.2A29.2A
3.3A35B4.A.B2A9.4B26.21B$24.4B17.8B8.A33.A4.21B2.2B2.B3.6B5.A11.4B27.
20B$25.4B15.9B7.2A33.A.AB2.17B14.6B5.3A7.4B29.17B$26.4B13.4B2.3B44.2A
B.16B14.9B7.A5.4B30.14B.B$27.4B11.4B3.5B44.17B15.2A4.4B5.2A4.4B31.12B
$28.4B9.4B7.2A44.18B15.A5.4B4.10B30.13B$29.4B7.4B8.A47.16B12.3A7.4B5.
7B30.15B$30.4B5.4B10.3A45.9B.3B.B2A10.A10.4B2.9B29.16B$31.4B3.4B13.A
46.9B4.BA.A21.15B.B25.17B$32.4B.4B62.9B6.A22.15B2A.2A22.16B$33.7B61.
5B2.5B5.2A22.14B2A.A2.A20.14B$34.5B62.2A6.5B29.15B3.2A20.6B2A2B$34.5B
63.A7.5B30.3B2AB4.4B24.6B2A2B$33.7B59.3A9.5B29.3B2AB3.A2.AB24.11B$32.
4B.4B58.A12.5B30.4B3.4AB26.8B$31.4B3.4B13.A57.5B29.3B10.A24.8B$30.4B
5.4B10.3A58.5B25.AB.2B7.5A24.7B$29.4B7.4B8.A62.5B23.A.AB2AB6.A28.7B$
28.4B9.4B7.2A62.5B22.A.ABABAB7.A26.7B$27.4B11.4B3.5B63.5B18.2A.A.A.A.
A2.A4.2A27.6B$26.4B13.4B2.3B66.5B17.A2.A2.2A.4A34.5B$25.4B15.9B7.2A
57.5B18.2A4.A38.6B$24.4B17.8B8.A58.5B23.A.A35.6B$23.4B19.10B3.B.A.2A
56.5B23.2A35.7B$22.4B20.7B2A2B.B3A2.A57.5B60.6B$21.4B21.7B2A3BAB2.2A
59.5B59.6B$20.4B22.12B4A62.5B58.6B$19.4B21.2AB.7B3.2B.A63.5B56.8B$18.
4B21.A.AB.7B2.B3A65.4BA54.8B$17.4B22.A5.4B4.A69.4BA53.9B$16.4B22.2A5.
4B5.5A65.B3AB52.9B$3.2A10.4B29.4B10.A66.5B50.10B$4.A9.4B29.4B9.A69.5B
49.3B2A5B$2.A10.BA2B29.4B10.2A69.5B47.4B2A5B$2.5A5.3AB5.2A22.4B83.3BD
B46.11B$7.A4.4B5.A22.4B85.DBD2B12.A27.2A.A7BD4B$4.3AB2.BA5B.BA.A21.4B
87.2D3B9.3A27.A.2A2.4B3D2B$3.A.BA3.3A4B.B2A21.4B89.5B7.A37.2B2D2BD4.
2A$3.2A4BA6BA2B22.4B91.7B4.2A37.6B4.A$.2A2.B2AB2A2B2A2BAB21.4B93.7B.
4B37.6B.BA.A$A2.3AB.BA9B20.4B95.9B38.7B.B2A$2A.A.A3.BA5BA2B19.4B96.9B
39.8B$3.A8.3BA4B17.4B96.5B2A3B32.A6.7B$3.2A7.2A7B15.4B97.5BA3B33.3A4.
7B$13.3B2.4B13.4B100.4B3AB23.A11.A2.7B4.B$11.5B3.4B11.4B101.6BA2B22.
3A8.2A3.6B.B.2BA$11.2A7.4B9.4B101.11B24.A7.15BA.A$12.A8.4B7.4B101.13B
10.A11.2A3.B5.7BD4B.BA$9.3A10.4B5.4B101.5B.9B7.3A11.8B2.7B3D3B$9.A13.
4B3.4B101.B2D2B3.9B5.A16.15BD5B$24.4B.4B101.3B2D3.B2AB2.5B4.2A15.20B$
25.7B101.3BDB5.2A4.10B11.22B$26.5B101.5B13.7B13.22B$26.5B100.5B3.2A.A
.3A4.7B3.B2.2B2.25B13.2A$25.7B98.5B4.A.2A.A2.A4.19BD14B4.4B13.A$10.A
13.4B.4B96.5B11.2AB3.20BDBD4B.6B6.4B10.A5.2A$10.3A10.4B3.4B94.5B13.
14B2A9B3D4B2.B.5B5.4B9.2A5.A$13.A8.4B5.4B92.5B15.13B2A11BD4B7.2A6.4B
11.3B.A.2A$12.2A7.4B7.4B90.5B16.30B8.A8.4B7.2A2B2A.A2.A$12.5B3.4B9.4B
88.5B18.17B.4B16.3A6.4B5.B2A2B.A.2A$14.3B2.4B11.4B86.5B19.16B3.2B19.A
7.4B5.4B.A$4.2A7.9B13.4B84.5B21.15B3.3B27.4B3.4B.2A$4.A8.8B15.4B82.5B
23.13B5.A2B.2A24.10B8.2A$.2A.A.B3.10B17.4B18.A61.5B26.13B2.A.A2B.A25.
9B8.A.A$.A2.3AB.2B2A7B18.4B11.2A3.A.A59.5B26.8B4.2A.A.AB2.A27.8B.B8.A
$2.2A2.BA3B2A7B19.4B11.A3.A2.A57.5B27.6B6.2ABA4.A29.11B3.B.BA.2A$4.4A
12B20.4B10.A.2A.A.A56.5B28.5B8.B2.5A.A27.7B2A3B.B2A.A.A$4.A.2B3.7B.B
2A19.4B10.A.A.A.2A54.5B29.B.B5.2A.A.2A.A4.2A27.7B2A5B2A.A.A$5.3AB2.7B
.BA.A19.4B10.2B2A.A2.A51.5B31.3B4.A.2A.A2.A.2A30.15B2.A.2A$8.A3.5B5.A
20.4B10.4B2.2A50.5B31.B2AB11.2A.A.3A25.2AB.12B4A2.A$3.5A5.4B5.2A20.4B
6.7B53.5B33.2A19.A24.A.AB.10B.BAB2.2A$3.A10.4B27.4B3.8B53.5B80.A5.7B
6.2A$5.A9.4B22.2A3.4B.8B53.5B80.2A5.4B.2B7.A$4.2A10.4B22.A4.12B52.5B
87.4B9.A$17.4B21.A.AB2.11B.2B48.5B87.4B10.2A$18.4B10.A10.2AB.14B2A46.
5B87.4B$19.4B7.3A12.16B2A45.5B87.4B$20.4B5.A15.14B.2B45.5B87.4B$21.4B
4.2A15.13B47.5B87.4B$14.2A6.9B14.14B.2B43.5B87.4B$15.A7.6B14.18B2A41.
5B87.4B$15.A.2A5.6B3.B2.2B2.19B.B2A40.5B87.4B$16.A2.A4.35B2.B40.5B87.
4B$17.2AB3.27B.8B42.5B39.A11.2A34.4B$18.14B2A16B2.7B41.2C3B39.A.A9.B
2AB32.4B$19.13B2A16B2.7B40.CBC2B32.A3.2A2.A.A9.3B32.4B$20.29B3.7B39.
3BC2B18.A12.A.A2.A2.2A.2A9.B.B30.4B$20.17B.B.2B11.6B.BA35.7B18.3A10.A
.A3.A.A2.B8.5B29.4B$21.15B4.3B10.7BA.A33.9B20.A10.A.4A2.AB2A6.6B28.4B
$21.15B5.A2B.2A6.8BA33.10B19.2A12.A3.A.A.2A4.8B27.4B$22.13B5.A.A2B.A
6.6B.B33.11B19.4B9.A2.BA.A2.13B27.4B$24.13B2.A.AB2.A7.5B35.13B20.3B7.
A.2BA.A5.13B24.4B$23.8B4.2A.A.A3.A8.6B33.15B18.4B7.2A.2BA5.15B22.4B$
23.6B6.2ABA2.4A.A4.2AB.5B31.16B8.2A8.5B10.3B4.15B21.4B$23.5B8.B2.A.A
3.2A3.A.AB3.4B29.4B.11B9.A8.6B11.2B.B.17B19.4B$23.B.B9.2A.2A.A.A6.A7.
4B27.4B3.12B4.BA.A8.8B2.29B18.4B$24.3B9.A.A3.A.3A2.2A8.4B25.4B4.15B.B
2A8.26B2A13B16.4B$23.B2AB9.A.A4.A2.A13.4B23.4B5.17B11.25B2A14B2.2A10.
4B$24.2A11.A6.2A15.4B21.4B6.17B12.7B.27B3.B2A2.A9.4B$62.4B19.4B4.B.
17B12.35B4.A.B2A9.4B$63.4B10.A6.4B4.2A19B11.19B2.2B2.B3.6B5.A11.4B$
64.4B7.3A5.4B5.2AB.19B8.17B14.6B5.3A7.4B$65.4B5.A7.4B7.B4.20B2.2B.15B
14.9B7.A5.4B$66.4B4.2A5.4B13.16BD22B15.2A4.4B5.2A4.4B$67.9B4.4B15.8B.
4BDBD13B.8B16.A5.4B4.9B$68.6B5.4B16.7B2.4B3D9B2A2B3.8B11.3A7.4B5.7B$
68.8B2.4B17.7B2.4BD11B2A2B5.B3.2A11.A10.4B2.9B$66.15B18.6B4.18B10.A
23.16B.B$66.14B19.7B10.4B18.3A20.B.15B2A.2A$66.13B20.6B12.3B20.A23.
14B2A.A2.A$64.2AB.10B21.6B13.4B43.15B3.2A$63.A.AB3.B2A4B22.6B61.4B2AB
4.4B$63.A6.B2A3B23.6B60.5B2A2B2.A2.AB$62.2A6.5B26.5B59.8B3.4AB$71.3B
28.2B63.6B9.A$72.2B.BA25.2A62.A5B6.5A$71.B2ABA.A24.2A61.A.AB2AB6.A$
70.BABABA.A87.A.ABABAB7.A$68.A2.A.A.A.A.2A81.2A.A.A.A.A2.A4.2A$68.4A.
2A2.A2.A81.A2.A2.2A.4A$72.A4.2A85.2A4.A$70.A.A97.A.A$70.2A99.2A9$139.
B2C$140.C$141.3C$143.C!
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:

Code: Select all

x = 210, y = 169, rule = LifeHistory
68.A$68.3A$71.A$70.2A$70.4B88.2A2.A$71.4B86.A.4A$60.4B2.B.3B.4B85.A$
60.4B.18B76.2A.7A$59.2A5B2A16B73.A2.A.A3.B2.A$59.2A5B2A8B3A5B73.2A2.B
A.2A2.2A$60.B.14BA7B77.2AB2AB6.2A$62.B2A12BA3B4AB75.5B8.A$29.A11.2A
20.2A7B2.10B2AB75.3B7.A$28.A.A9.B2AB19.8B6.3BA2BAB2A74.5B6.5A$20.A3.
2A2.A.A9.3B22.7B7.B2ABABA75.6B9.A$19.A.A2.A2.2A.2A9.B.B20.10B6.BAB4AB
71.8B3.4AB$19.A.A3.A.A2.B8.5B20.13B2.3B2AB3A71.5B2A2B2.A2.AB$20.A.4A
2.AB2A6.6B21.21B2AB71.4B2AB4.4B$22.A3.A.A.2A4.8B23.22B.B20.A11.2A34.
15B3.2A$4.2A15.A2.BA.A2.13B24.16B2A5B2A18.A.A9.B2AB32.14B2A.A2.A8.2A$
5.A14.A.2BA.A5.13B22.16B2A5B2A10.A3.2A2.A.A9.3B32.15B2A.2A10.A$5.A.AB
11.2A.2BA5.15B22.18B.4B10.A.A2.A2.2A.2A9.B.B30.15B.B15.A$6.2AB.2A12.
3B4.15B29.4B.3B.B2.4B10.A.A3.A.A2.B8.5B29.4B2.9B8.2A5.4A$8.2B2AB12.2B
.B.17B29.4B22.A.4A2.AB2A6.6B28.4B5.7B6.2B2AB4.A$8.4B6.29B30.4B23.A3.A
.A.2A4.8B27.4B4.9B6.4B7.B3A$8.6B3.16B2A13B30.4B4.2A15.A2.BA.A2.13B27.
4B5.2A4.4B5.3B8.BA2.A.A$9.6B2.16B2A14B30.4B4.A14.A.2BA.A5.13B24.4B7.A
5.4B5.3B5.3B2.2A.3A$9.7B.27B3.B2A30.4B3.A.AB11.2A.2BA5.15B22.4B5.3A7.
4B2.7B2.4B3.B4.A$8.35B4.A2.A30.4B3.2AB.2A12.3B4.15B21.4B6.A10.18B.B2A
B3A$7.20B2.2B2.B3.6B5.2A.A30.4B4.2B2AB12.2B.B.17B19.4B19.17B.B2A.A$7.
17B14.6B7.A31.4B3.4B6.29B18.4B21.20B$7.15B14.9B6.2A31.4B2.6B3.16B2A
13B16.4B22.18B$6.15B15.2A4.4B39.3BA2.6B2.16B2A14B2.2A10.4B24.19B$.2A
3.16B15.A5.4B39.3BA.7B.27B3.B2A2.A9.4B25.21B$2.A3.16B12.3A7.4B34.2A3.
3A35B4.A.B2A9.4B26.21B$2.A.A15B.B2A10.A10.4B34.A4.21B2.2B2.B3.6B5.A
11.4B27.20B$3.2A2.12B2.BA.A21.4B10.2A21.A.AB2.17B14.6B5.3A7.4B29.17B$
7.13B4.A22.4B9.A23.2AB.16B14.9B7.A5.4B30.14B.B$6.15B3.2A22.4B10.A23.
17B15.2A4.4B5.2A4.4B31.12B$5.17B20.2A5.4B5.5A23.18B15.A5.4B4.10B30.
13B$5.11B3.4B20.A5.4B4.A30.16B12.3A7.4B5.7B30.15B$5.11B4.4B19.A.AB.7B
2.B3A28.9B.3B.B2A10.A10.4B2.9B29.16B$3.2AB.7B7.4B19.2AB.7B3.2B.A28.9B
4.BA.A21.15B.B25.17B$2.A.AB.6B9.4B20.12B4A29.9B6.A22.15B2A.2A22.16B$
2.A5.4B11.4B19.7B2A3BAB2.2A25.5B2.5B5.2A22.14B2A.A2.A20.14B$.2A6.5B
10.4B18.7B2A2B.B3A2.A24.2A6.5B29.15B3.2A20.6B2A2B$12.2A11.4B17.10B3.B
.A.2A25.A7.5B30.3B2AB4.4B24.6B2A2B$12.A13.4B15.8B8.A25.3A9.5B29.3B2AB
3.A2.AB24.11B$13.3A11.4B13.9B7.2A25.A12.5B30.4B3.4AB26.8B$15.A12.4B
11.4B2.3B49.5B29.3B10.A24.8B$29.4B9.4B3.5B48.5B25.AB.2B7.5A24.7B$30.
4B7.4B7.2A49.5B23.A.AB2AB6.A28.7B$31.4B5.4B8.A51.5B22.A.ABABAB7.A26.
7B$32.4B3.4B10.3A49.5B18.2A.A.A.A.A2.A4.2A27.6B$33.4B.4B13.A50.5B17.A
2.A2.2A.4A34.5B$34.7B66.5B18.2A4.A38.6B$35.5B68.5B23.A.A35.6B$35.5B
69.5B23.2A35.7B$34.7B69.5B60.6B$33.4B.4B13.A55.5B59.6B$32.4B3.4B10.3A
56.5B58.6B$31.4B5.4B8.A60.5B56.8B$30.4B7.4B7.2A60.4BA54.8B$29.4B9.4B
3.5B61.4BA53.9B$28.4B11.4B2.3B64.B3AB52.9B$27.4B13.9B7.2A55.5B50.10B$
26.4B15.8B8.A56.5B49.3B2A5B$25.4B17.10B3.B.A.2A54.5B47.4B2A5B$24.4B
18.7B2A2B.B3A2.A55.3BDB46.11B$23.4B19.7B2A3BAB2.2A57.DBD2B12.A27.2A.A
7BD4B$22.4B20.12B4A60.2D3B9.3A27.A.2A2.4B3D2B$21.4B19.2AB.7B3.2B.A61.
5B7.A37.2B2D2BD4.2A$20.4B19.A.AB.7B2.B3A63.7B4.2A37.6B4.A$19.4B20.A5.
4B4.A67.7B.4B37.6B.BA.A$18.4B20.2A5.4B5.5A63.9B38.7B.B2A$17.4B27.4B
10.A63.9B39.8B$16.4B27.4B9.A64.5B2A3B32.A6.7B$3.2A10.4B27.4B10.2A63.
5BA3B33.3A4.7B$4.A9.4B27.4B78.4B3AB23.A11.A2.7B4.B$2.A10.4B27.4B79.6B
A2B22.3A8.2A3.6B.B.2BA$2.5A5.4B5.2A20.4B79.11B24.A7.15BA.A$7.A4.4B5.A
20.4B79.13B10.A11.2A3.B5.7BD4B.BA$4.3AB2.7B.BA.A19.4B79.5B.9B7.3A11.
8B2.7B3D3B$3.A.2B3.7B.B2A19.4B79.B2D2B3.9B5.A16.15BD5B$3.4A12B20.4B
79.3B2D3.B2AB2.5B4.2A15.20B$.2A2.BA3B2A7B19.4B79.3BDB5.2A4.10B11.22B$
A2.3AB.2B2A7B18.4B79.5B13.7B13.22B$2A.A.B3.10B17.4B79.5B3.2A.A.3A4.7B
3.B2.2B2.25B13.2A$3.A8.8B15.4B79.5B4.A.2A.A2.A4.19BD14B4.4B13.A$3.2A
7.6B3A13.4B79.5B11.2AB3.20BDBD4B.6B6.4B10.A5.2A$13.3B2.A3B11.4B79.5B
13.14B2A9B3D4B2.B.5B5.4B9.2A5.A$11.5B3.A3B9.4B79.5B15.13B2A11BD4B7.2A
6.4B11.3B.A.2A$11.2A7.4B7.4B79.5B16.30B8.A8.4B7.2A2B2A.A2.A$12.A8.4B
5.4B79.5B18.17B.4B16.3A6.4B5.B2A2B.A.2A$9.3A10.4B3.4B79.5B19.16B3.2B
19.A7.4B5.4B.A$9.A13.4B.4B79.5B21.15B3.3B27.4B3.4B.2A$24.7B79.5B23.
13B5.A2B.2A24.10B8.2A$25.5B79.5B26.13B2.A.A2B.A25.9B8.A.A$25.5B78.5B
26.8B4.2A.A.AB2.A27.8B.B8.A$24.7B76.5B27.6B6.2ABA4.A29.11B3.B.BA.2A$
9.A13.4B.4B74.5B28.5B8.B2.5A.A27.7B2A3B.B2A.A.A$9.3A10.4B3.4B72.5B29.
B.B5.2A.A.2A.A4.2A27.7B2A5B2A.A.A$12.A8.4B5.4B70.5B31.3B4.A.2A.A2.A.
2A30.15B2.A.2A$11.2A7.4B7.4B68.5B31.B2AB11.2A.A.3A25.2AB.12B4A2.A$11.
5B3.4B9.4B66.5B33.2A19.A24.A.AB.10B.BAB2.2A$13.3B2.4B11.4B64.5B80.A5.
7B6.2A$3.2A7.9B13.4B62.5B80.2A5.4B.2B7.A$3.A8.8B15.4B60.5B87.4B9.A$2A
.A.B3.10B17.4B18.A39.5B87.4B10.2A$A2.3AB.2B2A7B18.4B11.2A3.A.A37.5B
87.4B$.2A2.BA3B2A7B19.4B11.A3.A2.A35.5B87.4B$3.4A12B20.4B10.A.2A.A.A
34.5B87.4B$3.A.2B3.7B.B2A19.4B10.A.A.A.2A32.5B87.4B$4.3AB2.7B.BA.A19.
4B10.2B2A.A2.A29.5B87.4B$7.A4.4B5.A20.4B10.4B2.2A28.5B87.4B$2.5A5.4B
5.2A20.4B6.7B31.5B87.4B$2.A10.4B27.4B3.8B31.5B87.4B$4.A9.4B22.2A3.4B.
8B31.5B39.A11.2A34.4B$3.2A10.4B22.A4.12B30.2C3B39.A.A9.B2AB32.4B$16.
4B21.A.AB2.11B.2B26.CBC2B32.A3.2A2.A.A9.3B32.4B$17.4B10.A10.2AB.14B2A
24.3BC2B18.A12.A.A2.A2.2A.2A9.B.B30.4B$18.4B7.3A12.16B2A23.7B18.3A10.
A.A3.A.A2.B8.5B29.4B$19.4B5.A15.14B.2B23.9B20.A10.A.4A2.AB2A6.6B28.4B
$20.4B4.2A15.13B25.10B19.2A12.A3.A.A.2A4.8B27.4B$13.2A6.9B14.14B.2B
21.11B19.4B9.A2.BA.A2.13B27.4B$14.A7.6B14.18B2A19.13B20.3B7.A.2BA.A5.
13B24.4B$14.A.2A5.6B3.B2.2B2.19B.B2A18.15B18.4B7.2A.2BA5.15B22.4B$15.
A2.A4.35B2.B18.16B8.2A8.5B10.3B4.15B21.4B$16.2AB3.27B.8B20.4B.11B9.A
8.6B11.2B.B.17B19.4B$17.14B2A17B.7B19.4B3.12B4.BA.A8.8B2.29B18.4B$18.
13B2A25B18.4B4.15B.B2A8.26B2A13B16.4B$19.39B17.4B5.17B11.25B2A14B2.2A
10.4B$19.17B.B.2B8.9B.BA13.4B6.17B12.7B.27B3.B2A2.A9.4B$20.15B4.3B8.
9BA.A11.4B4.B.17B12.35B4.A.B2A9.4B$20.15B5.A2B.2A5.9BA4.A6.4B4.2A19B
11.19B2.2B2.B3.6B5.A11.4B$21.13B5.A.A2B.A6.6B.B3.3A5.4B5.2AB.19B8.17B
14.6B5.3A7.4B$23.13B2.A.AB2.A7.5B5.A7.4B7.B4.20B2.2B.15B14.9B7.A5.4B$
22.8B4.2A.A.A3.A8.6B4.2A5.4B13.16BD22B15.2A4.4B5.2A4.4B$22.6B6.2ABA2.
4A.A4.2AB.10B4.4B15.8B.4BDBD13B.8B16.A5.4B4.9B$22.5B8.B2.A.A3.2A3.A.A
B3.6B5.4B16.7B2.4B3D9B2A2B3.8B11.3A7.4B5.7B$22.B.B9.2A.2A.A.A6.A6.8B
2.4B17.7B2.4BD11B2A2B5.B3.2A11.A10.4B2.9B$23.3B9.A.A3.A.3A2.2A4.15B
18.6B4.18B10.A23.16B.B$22.B2AB9.A.A4.A2.A8.14B19.7B10.4B18.3A20.B.15B
2A.2A$23.2A11.A6.2A9.13B20.6B12.3B20.A23.14B2A.A2.A$52.2AB.10B21.6B
13.4B43.15B3.2A$51.A.AB3.B2A4B22.6B61.4B2AB4.4B$51.A6.B2A3B23.6B60.5B
2A2B2.A2.AB$50.2A6.5B26.5B59.8B3.4AB$59.3B28.2B63.6B9.A$60.2B.BA25.2A
62.A5B6.5A$59.B2ABA.A24.2A61.A.AB2AB6.A$58.BABABA.A87.A.ABABAB7.A$56.
A2.A.A.A.A.2A81.2A.A.A.A.A2.A4.2A$56.4A.2A2.A2.A81.A2.A2.2A.4A$60.A4.
2A85.2A4.A$58.A.A97.A.A$58.2A99.2A9$127.B2C$128.C$129.3C$131.C!
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 RNE-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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dvgrn
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Re: Stable universal regulator

Post by dvgrn » September 17th, 2019, 6:57 pm

dvgrn wrote:Looks like an RNE-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.
Just tried a slightly more thorough survey. As usual, Herschel conduits seem to be just about as awkward as they can possibly be, when I'm trying to fit them together and get the glider output colors right.

I still suspect that there's a combination of H-to-2G and edge shooters (or transparent-lane H-to-Gs) out there somewhere, that takes up a lot less space, and allows for a drive gun period lower than 120, and/or a test gun period less than 1000. Haven't found it yet, but I've eliminated a lot of possibilities, as the saying goes.

Here's a reasonably nice new universal regulator, drive gun period 256 (top), test gun period 1212+ (left). It's just a little simpler than the p120-drive-gun, p1089-test-gun universal regulator posted above, but obviously it's a little slower as well. For a lot of applications that won't matter, and maybe it will be handy to have an example with a power-of-two drive gun.

To improve the drive gun period, it would be necessary to add a couple more bends in the glider loop on the right, to allow the multiplication factor to be increased to 6 or 8. But I don't think anything as low as p120 will work -- would have to replace the SW-2 inserter at the top with a faster inserter somehow.

Code: Select all

x = 195, y = 204, rule = LifeHistory
79.2A$78.B2A2B3.2A$79.4B2.B2AB$75.B.6B3.2B$73.10B2.2B$55.2A8.2A6.11B
2A2B$54.B2AB8.A5.12B2A3B.B$55.2B9.A.AB2.18B2A$50.B3.2B11.2AB3.15B.B2A
$49.3A.A3B12.18B3.B$49.4ABAB2AB10.18B$50.B.A5BA2B2.2B2.A18B$53.A3BA
10B2A16B$53.B3A12B2A6B.7B$49.10BA11BA5B2.6B$49.3B2A5B2A5B5A7B.7B$48.
2A2B2A15BA9B.6B$48.2A14B.4B7.9B6.A$49.B.11B2.4B9.8B4.3A$51.10B2.4B11.
8B2.A$52.4BA9B13.7B2.2A$51.5BA8B15.10B$52.13B15.8B$52.13B15.8B$54.2B.
8B15.8B.2B$57.8B15.13B$57.8B15.13B$55.10B15.14B$55.2A2.7B13.14B$56.A
2.8B11.4B2.10B$53.3A4.8B9.4B2.11B.B$53.A6.9B7.4B.14B2A$59.6B.29B2A$
59.7B.2BA26B$60.6B2.2B2A24B$60.7B.B2A21B$59.31B2A$59.19B2.2B2.6B2AB.B
29.A11.2A$58.18B10.8B2A27.A.A9.B2AB$54.B3.19B11.4B.B2A19.A3.2A2.A.A9.
3B$53.2AB.15B2.4B11.2B3.B6.A12.A.A2.A2.2A.2A9.B.B$53.2A18B2.4B9.2B11.
3A10.A.A3.A.A2.B8.5B$54.B.3B2A12B3.4B7.B2AB13.A10.A.4A2.AB2A6.6B$57.
2B2A11B5.4B7.2A13.2A12.A3.A.A.2A4.8B$58.2B2.10B6.4B21.4B9.A2.BA.A2.
13B$57.2B3.6B.B9.4B22.3B7.A.2BA.A5.13B$56.B2AB2.4B14.4B20.4B7.2A.2BA.
B3.15B$57.2A3.2B2AB13.5B2.2B15.5B10.4B3.15B$64.2A15.9B13.6B11.4B.17B$
82.9B12.8B2.29B$83.9B10.26B2A13B$83.9B11.25B2A14B$82.10B12.7B.27B3.B
2A$82.A8B12.35B4.A.BA$81.ABA8B11.19B2.2B2.B3.6B5.2A.A$81.ABA10B8.17B
14.6B7.A$81.BA6B.7B2.2B.15B14.9B6.2A$82.7B2.2BD22B15.2A4.4B$82.9BDBD
13B.8B16.A5.4B$84.7B3D9B2A2B3.8B11.3A7.4B$84.7BD11B2A2B5.B3.2A11.A10.
4B$85.B2.18B10.A24.4B$95.8B.B12.3A22.4B$96.5B18.A23.4B$97.5B42.4B$98.
5B42.4B$100.4B42.4B$101.4B42.4B$102.4B42.4B$103.4B42.4B$52.2A11.A38.
4B42.4B$51.B2AB9.A.A38.4B42.4B$52.3B9.A.A2.2A3.A31.4B42.4B$51.B.B9.2A
.2A2.A2.A.A6.2A22.5B42.4B$51.5B8.B2.A.A3.A.A4.2B2AB22.5B42.4B$51.6B6.
2ABA2.4A.A5.4B24.5B42.4B$51.8B4.2A.A.A3.A7.6B23.5B42.4B$52.13B2.A.AB
2.A7.5B24.5B42.4B$50.13B5.A.A2B.A6.6B24.5B42.4B$49.15B5.A2B.2A6.7B24.
5B42.4B$49.15B4.3B10.6B26.5B42.4B$48.17B.B.2B10.7B27.3BDB42.4B$48.29B
4.6B28.DBD2B12.A29.4B$47.13B2A16B2.7B29.2D3B9.3A30.4B$46.14B2A16B2.7B
30.5B7.A3B31.4B$45.2AB3.27B.9B30.7B4.2AB33.4B$44.A2.A4.36B31.7B.4B4.
2A29.4B$43.A.2A5.6B3.B2.2B2.20B4.B27.10B4.A.A30.4B$43.A7.6B14.19B.B2A
26.9B3.3A33.4B$42.2A6.9B14.19B2A25.10B2.A3.A33.4B$49.4B4.2A15.17B.B
26.9B4.3A.A33.4B$48.4B5.A15.17B31.8B5.A.AB33.4B$47.4B7.3A12.17B31.9B
5.A3B33.4B$46.4B10.A10.2AB.15B30.11B6.4B32.4B$45.4B21.A.AB4.12B29.13B
5.6B31.4B$44.4B22.A9.11B27.5B.9B4.7B31.4B10.2A$43.4B22.2A8.13B25.B2D
2B3.9B2.8B.4B.B25.4B9.A$42.4B33.12B25.3B2D3.B2AB2.18B.B2A18.2A5.4B.2B
7.A$41.4B35.10B25.3BDB5.2A4.19B2A19.A5.7B6.2A$40.4B37.9B24.5B13.16B.
2B20.A.AB.10B.BAB2.2A$39.4B38.9B23.5B14.16B24.2AB.12B4A2.A$38.4B39.9B
22.5B15.15B27.15B2.A.2A$37.4B41.5B24.5B14.2AB.12B28.7B2A5B2A.A.A$36.
4B42.4B24.5B14.A.AB2.11B28.7B2A3B.B2A.A.A$35.4B43.4B23.5B15.A5.10B29.
11B3.B.BA.2A$34.4B43.4B23.5B15.2A5.2B2A6B28.8B.B8.A$33.4B43.4B23.5B
22.3B2A6B27.9B8.A.A$32.4B43.4B23.5B24.10B26.10B8.2A$31.4B43.4B23.5B
25.8B.B2A.A21.4B3.4B.2A$30.4B43.4B23.5B25.7B3.B2AB3A18.4B5.4B.A$29.4B
43.4B23.5B26.6B6.B4.A16.4B5.B2A2B.A.2A$28.4B43.4B23.5B28.6B4.2A.3A16.
4B7.2A2B2A.A2.A$27.4B43.4B23.5B29.5B6.A.A17.4B11.3B.A.2A$26.4B43.4B
23.5B29.6B6.A.A16.4B9.2A5.A$25.4B43.4B23.5B30.6B7.A16.4B10.A5.2A$24.
5B42.4B23.5B30.7B23.4B13.A$23.4B43.4B23.5B31.7B8.A13.4B13.2A$22.4B43.
4B23.5B32.8B5.3A12.4B$21.4B43.4B24.4B33.8B4.A14.4B$20.4B43.4B24.4B35.
8B3.2A12.4B$19.4B43.4B24.4B36.3B2A2B2.4B11.4B$19.4B42.4B24.4B35.5B2A
2B.3B12.4B$18.5B41.4B24.3DB36.13B11.4B$15.9B39.4B24.3BD36.16B8.4B$15.
9B38.4B24.3BD36.17B7.4B$15.9B37.4B24.4B38.16B6.4B$15.10B35.4B24.4B40.
15B5.4B$14.12B33.4B24.4B35.2A5.13B5.4B$13.13B8.2A22.4B24.4B37.A6.10B
6.4B$14.11B9.A22.4B24.4B38.A.AB3.10B5.4B$15.12B4.BA.A21.4B24.4B40.2AB
.15B.4B$15.15B.B2A10.A10.4B24.4B43.21B$15.17B12.3A7.4B24.4B45.19B$15.
17B15.A5.4B24.4B38.2A5.20B$12.B.17B15.2A4.4B24.4B40.A4.22B$11.2A19B
14.9B6.2A16.4B41.A.AB.23B$11.2AB.19B14.6B7.A16.4B37.2A4.2AB.22B$12.B
4.20B2.2B2.B3.6B5.2A.A15.4B37.A.A6.23B$17.26BA9B4.A2.A15.4B32.2A4.A8.
22B$17.9B.14B2AB2A8B3.B2A15.4B31.A2.A2.2A.4A5.18B$18.7B2.14BA17B15.4B
32.2A.A.A.A.A2.A5.14B.5B$18.7B2.14BA3BA12B15.4B36.A.ABABAB8.12B5.2A$
12.2A4.6B4.14B5A10B15.5B36.A.AB2AB11.10B5.A$11.B2AB3.7B10.2B.B.6B2A9B
14.6B37.AB.2B12.7B.B7.3A$11.4B3.6B10.3B4.5B2A8B14.8B39.3B11.8B10.A$
12.2B3.7B6.2A.2BA5.15B13.9B38.5B6.2A3.3B.4B13.A$3.2A7.4B2.5B7.A.2BA.A
5.13B13.10B37.3B2AB6.A9.4B10.3A$3.A.A5.5B.6B8.A2.BA.A2.13B14.12B35.4B
2AB3.BA.A10.4B8.A$4.A.19B7.A3.A.A.2A4.8B12.14B33.10B.B2A12.4B7.2A$5.
17B.2A5.A.4A2.AB2A6.6B11.15B8.2A22.13B15.4B3.5B$5.14B4.A5.A.A3.A.A2.B
8.5B10.4B.10B9.A22.14B16.4B2.3B$5.15B4.3A2.A.A2.A2.2A.2A9.B.B9.4B2.
12B4.BA.A21.14B18.9B7.2A$4.3B2A12B5.A3.A3.2A2.A.A9.3B9.4B3.15B.B2A10.
A10.4B2.8B20.8B8.A$4.3B2A13B16.A.A9.B2AB7.4B4.17B12.3A7.4B5.6B21.10B
3.B.A.2A$2.2AB.11B2.4B16.A11.2A7.4B5.17B15.A5.4B4.9B20.7B2A2B.B3A2.A$
.A.AB2.8B5.4B35.4B3.B.17B15.2A4.4B5.2A4.4B19.7B2A3BAB2.2A$.A5.10B4.4B
33.4B3.2A19B14.9B7.A5.4B18.12B4A$2A5.B.B5.2A5.4B31.4B4.2AB.19B14.6B5.
3A7.4B15.2AB.8B2.2B.A$8.3B4.A7.4B29.4B6.B4.20B2.2B2.B3.6B5.A11.4B9.2A
2.A.AB.7B2.B3A$7.B2AB5.3A5.4B27.4B12.16BD19B4.A.B2A9.4B9.A2.A5.5B3.A$
8.2A8.A6.4B25.4B13.9B.4BDBD20B3.B2A2.A9.4B6.A2.3A5.4B5.5A$26.4B23.4B
15.7B2.4B3D9B2A14B2.2A10.4B5.3A7.4B10.A$27.4B21.4B16.7B2.4BD11B2A13B
16.4B7.A5.4B9.A$28.4B19.4B17.6B4.29B18.4B5.2A4.4B10.2A$29.4B10.A6.4B
18.7B10.4B.17B19.4B4.9B$30.4B7.3A5.4B19.6B10.3B4.15B21.4B5.7B$31.4B5.
A7.4B19.7B6.2A.2BA5.15B22.4B2.9B$32.4B4.2A5.4B21.6B6.A.2BA.A5.13B24.
15B.B$33.9B4.4B21.7B7.A2.BA.A2.13B27.15B2A.2A$34.6B5.4B21.9B7.A3.A.A.
2A4.8B27.14B2A.A2.A$34.8B2.4B21.8B2A5.A.4A2.AB2A6.6B28.15B3.2A$32.15B
21.4B2.B2.AB4.A.A3.A.A2.B8.5B29.4B2AB4.4B$32.14B21.4B7.3A2.A.A2.A2.2A
.2A9.B.B28.5B2A2B2.A2.AB$32.13B21.4B10.A3.A3.2A2.A.A9.3B29.8B3.4AB$
30.2AB.10B21.4B23.A.A9.B2AB30.6B9.A$29.A.AB3.B2A4B21.4B25.A11.2A31.5B
6.5A$29.A6.B2A3B21.4B72.3B7.A$28.2A6.5B21.4B72.5B8.A$36.4B21.4B73.2AB
2AB6.2A$35.5B.BA17.4B70.2A2.BA.2A2.2A$34.4B2ABA.A15.4B71.A2.A.A3.B2.A
$33.4BABABA.A14.4B74.2A.7A$32.2BA2BA.A.A.A.2A10.4B77.A$34.4A.2A2.A2.A
9.4B78.A.4A$38.A4.2A10.4B80.2A2.A$36.A.A15.4B$36.2A15.4B$52.4B13$40.
2C$41.C$38.3C$38.C!
Probably the next thing to do is make a thorough collection of all the known compact H-to-2Gs, especially all the ones that don't include an SW-2 glider (since that glider tends to get absorbed by a syringe catalyst). Maybe one of them allows for a lucky connection.

Here are the edge-shooter circuits I looked at, with relative timing ratings. When I attached two of the "0" components to the regulator mechanism, the timing ended up 4 (+/-8N) ticks off.* So to fix that I had to replace each of the "0" components with a "-2" component, and that made it possible to synchronize the gliders correctly.

Code: Select all

x = 526, y = 899, rule = LifeHistory
113.3B$111.5B$110.5B$109.5B$108.5B$107.5B$106.5B$105.5B$104.5B$103.6B
$102.9B6.2A$101.3D8B5.A$99.4BD8B2.BA.A$98.4BD9B2.B2A$98.17B$98.17B$
101.14B$102.13B$102.14B$102.15B$99.17B4.2A$99.17B3.B2AB$99.17B3.4B$
97.22B.3B2.B6.2A$96.31B5.A$95.33B.BA.A$94.34B.B2A$93.2A35B$D91.A.AB3.
31B$D91.A8.28B$D90.2A8.27B$D101.2B.10B3.10B182.4D$D100.2B4.11B.9B180.
2D3.3D$D33.D65.B2AB3.20B180.2D7.2D$D33.D66.2A4.12B.4B181.2D11.2D$D33.
D73.11B.4B179.2D15.D107.A11.2A$D33.D71.4B.4B3DB2.3B177.2D18.2D104.A.A
9.B2AB$D33.D71.2A4.4BD2B3.B177.2D20.D96.A3.2A2.A.A9.3B$D33.D72.A4.2B
3D2B181.D21.D77.2A7.2A7.A.A2.A2.2A.2A9.B.B$D33.D69.3A6.6B204.D77.A5.
2B2AB6.A.A3.A.A2.B8.5B$D33.D69.A8.7B203.D40.2B35.A.AB2.4B8.A.4A2.AB2A
6.6B$D33.D78.8B202.2D39.3B4.2A29.2AB.7B8.A3.A.A.2A4.8B$D33.D79.5B205.
D39.4B4.A30.11B6.A2.BA.A2.13B$D33.D79.6B204.D40.4B3.A.AB28.9B6.A.2BA.
A5.13B$D33.D78.6B3.2A200.D41.4B3.2AB.2A22.12B6.2A.2BA5.15B$D33.D78.7B
2.A.A199.D42.4B4.2B2AB15.B.16B10.3B4.15B$D33.D62.2A15.6B4.A199.D43.4B
3.4B6.29B10.2B.B.17B$D33.D63.A8.B4.8B4.2A198.D44.4B2.6B3.29B4.29B$D
33.D63.A.AB3.4B.6B2AB204.2D45.4B2.6B2.30B2.16B2A13B$D33.D64.2AB.13B2A
2B203.D47.4B.7B.30B2.16B2A14B$D33.D66.18B173.4D26.D44.2A3.43B.27B3.B
2A$D33.D66.17B170.4D29.2D45.A4.21B2.2B3.41B4.A.BA$.D32.D67.13B165.8D
33.D46.A.AB2.17B13.22B2.2B2.B3.6B5.2A.A$.D32.D69.12B204.D48.2AB.16B
17.17B14.6B7.A$.D32.D71.10B204.D50.8B.8B18.15B14.9B6.2A$.D27.21D56.
11B202.D51.6B.B.9B16.17B13.2A4.4B$.D19.8D5.D72.2B.7B201.D54.5B2.9B14.
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198.2D59.9B6.A12.9B.6B25.B$2.5D27.D61.A2.A2.2A2.11B197.2D58.5B2.5B5.
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64.2A.B3.7B3.BA.A187.22D46.A7.5B17.2B4.2A37.2B$34.D64.A2.2B2.7B6.A
209.7D36.3A9.5B22.A38.2B$34.D61.2A.A.BA2B.6B7.2A251.A12.5B22.3A35.2B$
34.D61.A.2A.A.A8B274.5B23.A36.B$34.D65.A.A.8B$34.D62.2A2.A4.5B$34.D
60.3A.2A4.6B$34.D59.A4.B6.6B$34.D60.3AB2AB3.7B$34.D62.A.2AB.8B$34.D
66.10B$34.D66.6B2A3B$34.D66.6B2A2B5.2A$34.D66.10B5.A$34.D65.11B2.BA.A
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109.ABA7.3B2.8B$110.A8.15B$111.3A6.14B$113.A7.13B$122.10B.B2A$123.4B
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3B2AB6.A$322.2D37.2A67.4B2AB3.BA.A$321.D38.B2A2B64.10B.B2A$147.A11.2A
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3B155.3D40.5B15.4B43.15B$124.A12.A.A2.A2.2A.2A9.B.B154.D41.6B14.4B44.
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51.3D73.A10.A.4A2.AB2A6.6B32.A.A116.D44.6B12.4B19.A26.B4.9B6.A10.4B$
48.4D2.2D70.2A12.A3.A.A.2A4.8B26.2A4.A117.D45.7B10.4B.3B.B12.3A31.2A
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18B10.A35.A5.4B7.A5.4B$46.2D9.2D69.3B7.A.2BA.A5.13B23.2A.A.A.A.A2.A
111.2D46.7B2.4BD11B2A2B5.B3.2A11.A10.2B7.3A7.4B5.2A4.4B$59.D67.4B7.2A
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$60.2D48.2B15.5B10.4B3.15B25.A.AB2AB112.D48.9B.4BDBD13B.8B16.A5.4B19.
4B5.6B$61.D46.5B13.6B11.4B.17B25.AB.2B112.2D48.16BD22B15.2A4.4B22.3B
2.8B$62.D44.7B12.8B2.29B28.3B111.D44.B4.20B2.2B.15B14.9B6.2A15.15B$
62.D44.8B10.26B2A13B26.5B6.2A102.D43.2AB.19B8.17B14.6B7.A17.14B$62.D
43.9B11.25B2A14B24.3B2AB6.A102.D44.2A19B11.19B2.2B2.B3.6B5.2A.A18.13B
$63.D41.10B12.7B.27B3.B2A22.4B2AB3.BA.A62.3D36.D46.B.17B12.35B4.A.BA
20.10B.B2A$63.D41.A8B12.35B4.A.BA20.10B.B2A66.3D32.D50.17B12.7B.27B3.
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51.17B11.25B2A14B24.3B2AB6.A$63.D40.ABA10B8.17B14.6B7.A17.14B73.13D
16.D51.17B2A8.26B2A13B26.5B6.2A$63.D40.BA14B2.2B.15B14.9B6.2A15.15B
101.D52.12B3.2BA.A8.8B2.29B28.3B$64.D40.11BD22B15.2A4.4B22.3B2.8B102.
D2.3D47.11B9.A8.6B11.4B.17B25.AB.2B$64.D40.9BDBD13B.8B16.A5.4B19.4B5.
6B102.D5.4D42.13B8.2A8.5B10.4B3.15B25.A.AB2AB$65.D41.7B3D9B2A2B3.8B
11.3A7.3B7.A10.4B4.9B101.D8.4D40.12B18.4B7.2A.2BA.B3.15B25.A.ABABAB$
65.D41.7BD11B2A2B5.B3.2A11.A10.2B7.3A7.4B5.2A4.4B99.D12.4D38.10B20.3B
7.A.2BA.A5.13B23.2A.A.A.A.A2.A$65.D42.B2.18B10.A35.A5.4B7.A5.4B98.D
16.D37.9B19.4B9.A2.BA.A2.13B25.A2.A2.2A.4A$65.D52.4B.3B.B12.3A31.2A4.
4B5.3A7.4B96.D17.2D36.9B19.2A12.A3.A.A.2A4.8B26.2A4.A$27.7D30.D54.4B
19.A26.B4.9B6.A10.4B95.D19.2D34.9B20.A10.A.4A2.AB2A6.6B32.A.A$11.16D
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64.D56.4B44.3B2.8B117.D21.D37.4B18.A12.A.A2.A2.2A.2A9.B.B$63.2D57.4B
43.15B115.D21.D37.4B32.A3.2A2.A.A9.3B$63.D59.B46.14B115.D22.D37.4B39.
A.A9.B2AB$63.D107.13B115.D22.D38.4B39.A11.2A$62.D109.10B.B2A113.D23.D
38.2B2A$62.D110.4B2AB3.BA.A112.D23.D39.BABA$61.D112.3B2AB6.A113.D22.D
40.2BA$60.D114.5B6.2A112.D22.D42.2A$60.D115.3B122.D21.D$59.D113.AB.2B
123.D21.D$59.D112.A.AB2AB123.D19.2D$58.D113.A.ABABAB122.2D17.D$57.D
111.2A.A.A.A.A2.A121.2D15.D$56.D112.A2.A2.2A.4A123.D13.D$56.D114.2A4.
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2D$51.D$50.2D$50.D$50.D$50.D$43.7D$45.3D$48.3D$51.24D53$428.2A$427.A.
A$421.2A4.A$419.A2.A2.2A.4A$419.2A.A.A.A.A2.A$422.A.ABABAB$422.A.AB2A
B$423.AB.2B$426.3B$425.5B6.2A$424.3B2AB6.A$423.4B2AB3.BA.A$422.10B.B
2A$421.13B$420.14B$419.15B$418.4B2.8B$417.4B5.6B$417.3B4.9B$401.A15.
2B5.2A4.4B$401.3A10.B2.B7.A5.4B$404.A8.2B7.3A7.4B$403.2A7.3B7.A10.4B$
403.5B3.4B19.4B$405.3B2.4B21.4B$395.2A7.9B23.4B$395.A8.8B25.4B$392.2A
.A.B3.10B27.4B$392.A2.3AB.2B2A7B28.4B$393.2A2.BA3B2A7B29.4B$395.4A12B
30.4B$395.A.2B2.8B.B2A29.4B$396.3AB2.7B.BA.A29.4B$399.A3.5B5.A30.4B$
149.3D2B63.2B175.5A5.4B5.2A30.4B$149.2BDB63.3B175.A10.4B37.4B$149.BDB
63.4B177.A9.4B7.A29.4B$147.B.2B63.4B177.2A10.4B6.3A28.4B$146.4B63.4B
191.4B8.A28.4B$145.4B5.2A57.3B193.4B6.ABA28.4B$144.6B3.A2.A56.2B195.
4B5.A.AB28.4B$143.8B.B.A.A56.B197.4B5.A3B28.4B$143.10B2A2.2A50.4B199.
4B6.4B27.4B$142.11B2.2A2.A48.4B201.4B5.6B26.4B$142.11B2A3.2A47.4B203.
4B4.7B26.4B$142.10B2.A51.4B205.4B2.8B.4B.B20.4B$103.9D30.9B2.A51.4B
207.17B.B2A20.4B$100.3D34.14B3.3A47.4B136.22D51.18B2A21.4B$96.4D36.
13B7.A32.A13.4B159.5D46.16B.2B23.4B$87.9D40.14B39.3A10.4B164.3D44.16B
27.4B$86.2D48.14B42.A8.4B167.2D43.15B29.4B$87.D48.13B42.2A7.4B170.2D
39.2AB.12B31.4B$87.D49.11B43.5B3.4B172.2D37.A.AB2.11B32.4B$87.D48.9BD
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2B2A6B35.4B$87.D49.B2A3B2D2BD3B32.A8.8B176.D42.3B2A6B36.4B$87.D49.14B
29.2A.A.B3.10B178.D42.10B37.4B$87.D49.4B.8B4.2A24.A2.3AB.2B2A7B178.D
42.8B.B2A.A34.4B$87.D50.2B2.8B4.A26.2A2.BA3B2A7B178.D41.7B3.B2AB3A33.
4B$87.D53.8B2.BA.A28.4A12B178.D41.6B6.B4.A33.4B10.2A$87.D52.9B2.B2A
29.A.2B2.8B.B2A176.D42.6B4.2A.3A35.4B9.A$87.D52.12B32.3AB2.7B.BA.A
175.D42.5B4.A2.2A38.4B10.A$87.D52.12B35.A3.5B5.A6.A168.D41.8B.A.A35.
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5B3.A$87.D49.A.AB2.8B31.A10.4B8.A169.2D33.3A6.6B.2BAB.A.2A32.A.AB.7B
2.B3A$87.D49.A6.8B32.A9.4B7.2A113.16D38.D38.A4.7B2.2B2.A36.2AB.8B2.2B
.A$87.D48.2A5.8B32.2A10.4B3.5B129.4D33.2D37.2A4.7B3.B.2A38.12B4A$87.D
55.7B46.4B2.3B165.4D38.4B.8B2.A.A2.2A36.7B2A3BAB2.2A$87.D54.11B44.9B
7.2A151.4D44.11B2.2A2.A2.A35.7B2A2B.B3A2.A$87.D54.12B44.8B8.A147.4D
47.12B7.2A36.10B3.B.A.2A$87.D5.9D40.12B7.2A36.10B3.B.A.2A141.4D50.12B
44.8B8.A$88.D2.3D8.2D39.11B2.2A2.A2.A35.7B2A2B.B3A2.A141.2D52.11B44.
9B7.2A$88.3D13.2D35.4B.8B2.A.A2.2A36.7B2A3BAB2.2A143.2D52.7B46.4B2.3B
$65.7D17.D15.3D33.2A4.7B3.B.2A38.12B4A146.2D44.2A5.8B32.2A10.4B3.5B$
49.16D7.D34.D34.A4.7B2.2B2.A36.2AB.8B2.2B.A148.D44.A6.8B32.A9.4B7.2A$
108.D30.3A6.6B.2BAB.A.2A32.A.AB.7B2.B3A149.D44.A.AB2.8B31.A10.4B8.A$
109.D29.A8.8BA.A.2A.A32.A5.5B3.A153.D44.2AB.10B30.5A5.4B5.2A3.3A$109.
D38.8B.A.A35.2A5.4B5.5A149.D45.12B35.A3.5B5.A6.A$109.D39.5B4.A2.2A38.
4B10.A150.D44.12B32.3AB2.7B.BA.A$110.D38.6B4.2A.3A35.4B9.A153.D43.9B
2.B2A29.A.2B2.8B.B2A$110.D37.6B6.B4.A33.4B10.2A153.D43.8B2.BA.A28.4A
12B$110.D37.7B3.B2AB3A33.4B167.D39.2B2.8B4.A26.2A2.BA3B2A7B$110.D38.
8B.B2A.A34.4B169.D37.4B.8B4.2A24.A2.3AB.2B2A7B$110.D38.10B37.4B170.2D
36.14B29.2A.A.B3.10B$110.D37.3B2A6B36.4B173.D35.B2A3B2D2BD3B32.A8.8B$
110.D31.2A5.2B2A6B35.4B174.D34.2B2A4B3D4B32.2A7.9B$110.D32.A5.10B35.
3B175.D34.9BD4B43.3B2.4B$110.D32.A.AB2.11B32.4B176.2D34.11B43.5B3.4B$
110.D33.2AB.12B31.4B178.D33.13B42.2A7.4B$110.D35.15B29.4B179.D33.14B
42.A8.4B$110.D35.16B27.4B180.D33.14B39.3A10.4B$82.D26.2D35.16B.2B23.
4B181.D33.13B7.A32.A13.4B$82.D26.D36.18B2A21.4B181.D35.14B3.3A47.4B$
83.2D23.D36.17B.B2A20.4B181.2D40.9B2.A51.4B$84.3D20.D36.4B2.8B.4B.B
20.4B180.2D42.10B2.A51.4B$87.2D17.D36.4B4.7B26.4B156.D19.5D44.11B2A3.
2A47.4B$89.4D11.2D36.4B5.6B26.4B157.2D14.4D49.11B2.2A2.A48.4B$93.4D7.
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A.A56.B$139.4B5.A.AB28.4B231.6B3.A2.A56.2B$138.4B6.ABA28.4B233.4B5.2A
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125.A9.4B7.A29.4B240.BDB63.4B$123.A10.4B37.4B241.2BDB63.3B$123.5A5.4B
5.2A30.4B242.3D2B63.2B$128.A3.5B5.A30.4B$125.3AB2.7B.BA.A29.4B$124.A.
2B2.8B.B2A29.4B$124.4A12B30.4B$122.2A2.BA3B2A7B29.4B$121.A2.3AB.2B2A
7B28.4B$121.2A.A.B3.10B27.4B$124.A8.8B25.4B$124.2A7.9B23.4B$134.3B2.
4B21.4B$132.5B3.4B19.4B$132.2A7.3B7.A10.4B$133.A8.2B7.3A7.4B$130.3A
10.B2.B7.A5.4B$130.A15.2B5.2A4.4B$146.3B4.9B$146.4B5.6B$147.4B2.8B$
148.15B$149.14B$150.13B$151.10B.B2A$152.4B2AB3.BA.A$153.3B2AB6.A$154.
5B6.2A$155.3B$152.AB.2B$151.A.AB2AB$151.A.ABABAB$148.2A.A.A.A.A2.A$
148.A2.A2.2A.4A$150.2A4.A$156.A.A$157.2A41$461.2A$460.A.A$454.2A4.A$
452.A2.A2.2A.4A$452.2A.A.A.A.A2.A$455.A.ABABAB$455.A.AB2AB$456.AB.2B$
459.3B$458.5B6.2A$457.3B2AB6.A$456.4B2AB3.BA.A$455.10B.B2A$454.13B$
453.14B$452.15B$451.4B2.8B$451.3B5.6B$387.9D53.B.2B4.9B$384.3D61.2B.B
5.2A4.4B$139.4B237.4D63.3B8.A5.4B$138.4B229.9D66.4B5.3A7.4B$137.4B
229.2D65.A7.4B6.A10.4B$113.2B21.4B231.D63.3A6.4B19.4B$113.3B19.4B232.
D62.A8.4B21.4B$113.4B17.4B233.D61.A.A6.4B23.4B$114.2BAB15.4B234.D60.B
A.A5.4B25.4B$115.B3A13.4B235.D59.3BA5.4B27.4B10.2A$116.3BA11.4B236.D
57.4B6.4B29.4B9.A$52.23D43.2AB9.4B63.4B170.D55.6B5.4B31.4B10.A$75.5D
38.4B7.6B7.2A52.4B171.D54.7B4.4B26.2A5.4B5.5A$79.3D37.4B5.7B7.A52.4B
172.D47.B.4B.8B2.4B28.A5.5B3.A$81.2D37.4B4.9B2.BA.A51.4B173.D46.2AB.
17B29.A.AB.7B2.B3A$83.2D36.4B2.11B.B2A51.4B174.D46.2A18B31.2AB.8B2.2B
.A$84.2D36.4B.9BA3B52.4B175.D47.2B.16B33.12B4A$85.D37.4B.7BABA2B51.4B
176.D50.16B33.7B2A3BAB2.2A$85.D38.11BABA2B50.4B177.D51.15B33.7B2A2B.B
3A2.A$85.D39.4B.B2.3BA3B49.4B178.D52.12B.B2A31.10B3.B.A.2A$86.D39.4B
4.6B48.4B179.D52.11B2.BA.A29.8B8.A$86.D40.4B4.6B7.2A37.4B180.D53.10B
5.A28.9B7.2A$86.D41.4B3.6B7.A37.4B181.D53.6B2A2B5.2A26.4B2.3B$86.D42.
4B2.5B5.BA.A36.4B182.D53.6B2A3B19.2A10.4B3.5B$86.D43.14B.B2A36.4B183.
D5.9D39.10B21.A9.4B7.2A$86.D44.15B37.4B185.D2.3D8.2D33.A.2AB.8B19.A
10.4B8.A$86.D45.14B36.4B186.3D13.2D29.3AB2AB3.7B18.5A5.4B5.2A3.3A$85.
D39.2A5.14B35.4B164.7D17.D15.3D26.A4.B6.6B23.A3.5B5.A6.A$84.2D40.A5.
13B35.4B149.16D7.D34.D27.3A.2A4.6B21.3AB2.7B.BA.A$83.D42.A.AB2.12B35.
4B209.D28.2A2.A4.5B20.A.2B2.8B.B2A$82.2D43.2AB.9B.B36.4B211.D30.A.A.
8B19.4A12B$79.4D46.11B37.4B212.D27.3A.A.A8B17.2A2.BA3B2A7B$19.D55.4D
50.13B34.4B213.D26.A2.A.BA2B.6B7.2A7.A2.3AB.2B2A7B$19.4D48.4D54.9B.B
2A.A31.4B215.D24.A.A.A2.2B2.7B6.A8.2A.A.B3.10B$23.20D25.4D58.7B2.B2AB
3A28.4B216.D23.A.A2.2A.B3.7B3.BA.A11.A8.8B$43.7D18.2D59.8B4.B4.A26.4B
217.D23.A.A.A2.A.A2.8B2.B2A12.2A7.9B$69.2D59.8B2.2A.3A12.A13.4B218.D
24.2A.2A2.2A2.11B24.3B2.4B$70.2D59.7B3.A.A14.3A10.4B219.D35.11B22.5B
3.4B$72.D55.11B2.A.A17.A8.4B220.D35.11B4.A17.2A7.4B$72.D54.11B4.A17.
2A7.4B221.D36.11B2.A.A17.A8.4B$73.D53.11B22.5B3.4B222.D39.7B3.A.A14.
3A10.4B$74.D41.2A.2A2.2A2.11B24.3B2.4B223.D38.8B2.2A.3A12.A13.4B$75.D
39.A.A.A2.A.A2.8B2.B2A12.2A7.9B224.D37.8B4.B4.A26.4B$76.D38.A.A2.2A.B
3.7B3.BA.A11.A8.8B225.D38.7B2.B2AB3A28.4B$77.D38.A.A.A2.2B2.7B6.A8.2A
.A.B3.10B226.D37.9B.B2A.A31.4B$78.D38.A2.A.BA2B.6B7.2A7.A2.3AB.2B2A7B
198.D26.2D37.13B34.4B$79.D38.3A.A.A8B17.2A2.BA3B2A7B198.D26.D38.11B
37.4B$79.2D40.A.A.8B19.4A12B199.2D23.D37.2AB.9B.B36.4B$81.D36.2A2.A4.
5B20.A.2B2.8B.B2A198.3D20.D37.A.AB2.12B35.4B$81.D34.3A.2A4.6B21.3AB2.
7B.BA.A200.2D17.D38.A5.13B35.4B$81.D33.A4.B6.6B23.A3.5B5.A6.A195.4D
11.2D38.2A5.14B35.4B$81.2D33.3AB2AB3.7B18.5A5.4B5.2A3.3A199.4D7.D46.
14B36.4B$82.D35.A.2AB.8B19.A10.4B8.A206.7D46.15B37.4B$82.D39.10B21.A
9.4B7.2A257.14B.B2A36.4B$82.D39.6B2A3B19.2A10.4B3.5B256.4B2.5B5.BA.A
36.4B$82.D39.6B2A2B5.2A26.4B2.3B257.4B3.6B7.A37.4B$81.D40.10B5.A28.9B
7.2A246.4B4.6B7.2A37.4B$80.2D39.11B2.BA.A29.8B8.A245.4B4.6B48.4B$78.
2D41.12B.B2A31.10B3.B.A.2A241.4B.B2.3BA3B49.4B$53.D19.5D42.15B33.7B2A
2B.B3A2.A240.11BABA2B50.4B$53.2D14.4D46.16B33.7B2A3BAB2.2A240.4B.7BAB
A2B51.4B$55.14D47.2B.16B33.12B4A241.4B.9BA3B52.4B$115.2A18B31.2AB.8B
2.2B.A240.4B2.11B.B2A51.4B$115.2AB.17B29.A.AB.7B2.B3A240.4B4.9B2.BA.A
51.4B$116.B.4B.8B2.4B28.A5.5B3.A242.4B5.7B7.A52.4B$123.7B4.4B26.2A5.
4B5.5A236.4B7.6B7.2A52.4B$124.6B5.4B31.4B10.A236.2AB9.4B63.4B$126.4B
6.4B29.4B9.A236.3BA11.4B$128.3BA5.4B27.4B10.2A234.B3A13.4B$129.BA.A5.
4B25.4B246.2BAB15.4B$130.A.A6.4B23.4B246.4B17.4B$131.A8.4B21.4B247.3B
19.4B$132.3A6.4B19.4B248.2B21.4B$134.A7.4B6.A10.4B273.4B$143.4B5.3A7.
4B275.4B$144.3B8.A5.4B277.4B$145.2B.B5.2A4.4B$146.B.2B4.9B$148.3B5.6B
$148.4B2.8B$149.15B$150.14B$151.13B$152.10B.B2A$153.4B2AB3.BA.A$154.
3B2AB6.A$155.5B6.2A$156.3B$153.AB.2B$152.A.AB2AB$152.A.ABABAB$149.2A.
A.A.A.A2.A$149.A2.A2.2A.4A$151.2A4.A$157.A.A$158.2A82$475.3D$445.13D
17.D.6D$318.14D71.2D37.3D13.3D15.D6.5D$315.3D14.3D35.6D27.D37.D19.2D
24.3D$314.D20.2D32.D5.2D9.3D13.2D35.2D21.2D12.D13.2D$313.D23.3D28.D7.
3D2.5D2.D13.D34.2D24.D12.D15.2D$312.D27.D26.D10.4D7.D12.D32.3D26.D11.
D16.2D$311.D29.3D22.D9.2D11.2D10.D32.2D28.3D9.D17.2D$310.D32.3D18.2D
9.D14.D10.D31.2D30.D10.D18.D$309.D35.2D16.D26.D10.D31.D30.2D10.D18.D$
308.D37.D15.D27.D10.D30.D30.D12.D18.D$308.D52.D28.D9.D31.D29.2D12.D
18.D$308.D51.D29.D9.D31.D29.D13.D19.D$308.D50.D30.D8.D32.D29.D13.D19.
D$308.D50.D30.D8.D32.D30.D12.D19.2D$107.4B57.A13.4B121.D51.D30.D8.D
32.D30.D12.D20.D$106.4B58.3A10.4B122.D50.D31.D8.D32.D30.D12.D20.D$
105.4B62.A8.4B123.D50.D31.D7.D33.D30.D12.D21.D$104.4B62.2A7.4B124.D
50.D31.D7.D33.D29.2D12.D21.D$46.8D49.4B63.5B3.4B125.D49.D32.D7.D33.D
29.D13.D21.D$43.3D56.4B66.3B2.4B126.D49.D32.D6.D34.D29.D13.D20.2D$41.
3D57.4B57.2A7.9B127.D49.D31.D7.D34.D29.D13.D18.3D$39.3D58.4B58.A8.8B
127.D50.D31.D7.D34.D29.D13.D12.6D$31.8D60.4B56.2A.A.B3.10B128.D50.D
31.D7.D34.D29.D13.D9.3D$31.2D65.4B57.A2.3AB.2B2A7B128.D50.D31.D7.D34.
D29.D13.D.9D$31.2D64.4B59.2A2.BA3B2A7B128.D50.D31.D7.D34.D29.D13.3D$
33.D62.4B62.4A12B128.D49.D31.D8.D34.D29.D13.D.D$33.2D60.4B39.A11.2A
10.A.2B2.8B.B2A126.D49.D31.D8.D34.D29.D13.D.D$34.D60.3B39.A.A9.B2AB
10.3AB2.7B.BA.A125.D49.D31.D8.D34.D29.D13.D2.D$34.D58.B.2B32.A3.2A2.A
.A9.3B14.A3.5B5.A6.A118.D49.D31.D8.D34.D29.D13.D3.D$35.D56.2B.2B18.A
12.A.A2.A2.2A.2A9.B.B8.5A5.4B5.2A3.3A117.D50.D31.D7.D35.D28.D14.D4.D$
35.D55.6B18.3A10.A.A3.A.A2.B8.5B8.A10.4B8.A120.D50.D31.D7.D35.D28.D
14.D4.D$35.D54.8B20.A10.A.4A2.AB2A6.6B10.A9.4B7.2A119.D49.D32.D7.D35.
D28.D14.D5.D$35.D53.9B19.2A12.A3.A.A.2A4.8B9.2A10.4B3.5B119.D49.D32.D
7.D35.D27.D15.D6.D$36.D52.9B19.4B9.A2.BA.A2.13B23.4B2.3B121.D49.D32.D
7.D35.D26.2D15.D7.D$36.D52.10B20.3B7.A.2BA.A5.13B22.9B7.2A110.D50.D
31.D8.D36.D25.D16.D7.D$36.D52.11B18.4B7.2A.2BA5.15B22.8B8.A110.D50.D
31.D8.D36.D24.2D16.D8.D$36.D52.11B8.2A8.5B10.3B4.15B23.10B3.B.A.2A
107.D50.D31.D8.D36.D24.D17.D9.D$36.2D7.11D33.10B9.A8.6B11.2B.B.17B22.
7B2A2B.B3A2.A107.D50.D31.D8.D36.D23.D18.D9.D$37.D3.4D10.3D31.12B4.BA.
A8.8B2.29B22.7B2A3BAB2.2A108.D50.D31.D8.D37.D22.D18.D10.2D$38.3D16.D
31.15B.B2A8.26B2A13B21.12B4A110.D50.2D29.D9.D37.2D20.2D18.D12.2D$38.D
18.2D30.17B11.25B2A14B18.2AB.8B2.2B.A110.D51.D29.D9.D38.2D19.D19.D14.
D$38.D19.D30.17B12.7B.27B3.B2A16.A.AB.7B2.B3A111.D52.D28.D9.D39.2D17.
D20.D14.2D$58.D27.B.17B12.35B4.A.BA15.A5.5B3.A114.D52.D28.D9.D41.3D
13.D21.D16.D$58.D26.2A19B11.19B2.2B2.B3.6B5.2A.A13.2A5.4B5.5A109.D52.
2D27.D9.D43.3D10.D22.D17.2D$58.D26.2AB.19B8.17B14.6B7.A19.4B10.A109.D
40.D12.2D25.D11.D45.5D4.2D22.2D17.2D$58.D27.B4.20B2.2B.15B14.9B6.2A
17.4B9.A111.D38.2D14.3D23.D11.D49.5D25.D18.D$58.D32.16BD22B15.2A4.4B
23.4B10.2A111.D33.4D18.3D21.D11.D15.10D54.D18.D$22.4D32.D32.9B.4BDBD
13B.8B16.A5.3B22.4B124.D32.D25.4D16.D12.D12.4D8.3D52.D19.D$6.17D35.D
33.7B2.4B3D9B2A2B3.8B11.3A7.2B21.4B125.D31.2D29.3D12.D13.D11.D67.D19.
D$2.4D52.D33.7B2.4BD11B2A2B5.B3.2A11.A20.A10.4B127.D29.2D33.3D8.D14.D
10.D68.2D18.D$58.D33.6B4.18B10.A33.3A7.4B128.D29.D37.8D15.2D6.3D89.D$
58.D33.7B10.4B.3B.B12.3A33.A5.4B130.D26.2D62.7D92.D$57.D34.6B10.6B19.
A26.B5.2A4.4B132.D25.D162.D$57.D33.7B13.4B45.2B4.9B133.D23.2D164.D$
56.2D34.6B14.B2AB44.3B5.6B135.D20.2D166.D$55.2D35.6B15.A3B43.4B2.8B
136.2D16.2D168.D$54.2D37.6B15.3AB43.15B136.3D11.2D170.D$39.D5.10D40.
4B16.BA2B43.14B139.11D173.D$40.6D48.B2A2B17.4B43.13B$95.2A20.4B43.10B
.B2A$118.4B43.4B2AB3.BA.A$166.3B2AB6.A$167.5B6.2A$168.3B$165.AB.2B$
164.A.AB2AB$164.A.ABABAB$161.2A.A.A.A.A2.A$161.A2.A2.2A.4A$163.2A4.A$
169.A.A$170.2A7$417.A11.2A$416.A.A9.B2AB$408.A3.2A2.A.A9.3B$407.A.A2.
A2.2A.2A9.B.B$407.A.A3.A.A2.B8.5B33.2A$385.B22.A.4A2.AB2A6.6B32.A.A$
385.2B23.A3.A.A.2A4.8B26.2A4.A$385.3B4.2A15.A2.BA.A2.13B25.A2.A2.2A.
4A$385.4B4.A14.A.2BA.A5.13B23.2A.A.A.A.A2.A$386.4B3.A.AB11.2A.2BA5.
15B25.A.ABABAB$387.4B3.2AB.2A12.3B4.15B25.A.AB2AB$388.4B4.2B2AB12.2B.
B.17B25.AB.2B$389.4B3.4B6.29B28.3B$390.4B2.6B3.16B2A13B26.5B6.2A$391.
4B2.6B2.16B2A14B24.3B2AB6.A$392.4B.7B.27B3.B2A22.4B2AB3.BA.A$388.2A3.
38B4.A.BA20.10B.B2A$389.A4.21B2.2B2.B3.6B5.2A.A18.13B$389.A.AB2.17B
14.6B7.A17.14B$390.2AB.16B14.9B6.2A15.15B$392.8B.8B15.2A4.4B22.3B2.8B
$392.6B.B.9B15.A5.4B19.4B5.6B$394.5B2.9B12.3A7.3B7.A10.4B4.9B$395.9B.
3B.B2A10.A10.2B7.3A7.4B5.2A4.4B$396.9B4.BA.A21.B10.A5.4B7.A5.4B$397.
9B6.A31.2A4.4B5.3A7.4B$395.5B2.5B5.2A25.B4.9B6.A10.4B$395.2A6.5B31.2B
5.6B19.4B$396.A7.5B30.3B2.8B$393.3A9.5B29.15B$393.A12.5B29.14B$407.5B
29.13B$408.5B29.10B.B2A$409.5B29.4B2AB3.BA.A$410.5B29.3B2AB6.A$411.5B
29.5B6.2A$412.5B29.3B$413.5B25.AB.2B$414.5B23.A.AB2AB$415.5B22.A.ABAB
AB$416.3BDB18.2A.A.A.A.A2.A$417.DBD2B12.A4.A2.A2.2A.4A$418.2D3B9.3A6.
2A4.A$419.5B7.A15.A.A$420.7B4.2A15.2A$421.7B.4B$422.9B$422.9B$421.10B
$421.9B$423.8B$423.9B$422.11B43.A$421.13B42.3A$420.5B.9B44.A$419.B2D
2B3.9B34.A7.2A$418.3B2D3.B2AB2.5B33.3A5.4B$417.3BDB5.2A4.5B10.A24.A6.
4B$416.5B14.4B7.3A23.2A3.8B18.4B$415.5B16.4B5.A21.B4.3B.9B19.4B$414.
5B18.4B4.2A19.3B5.14B17.4B$413.3D2B12.2A6.9B17.6B3.16B17.4B$412.3BDB
14.A6.7B13.4B2.7B2.16B18.4B10.2A$411.3BDB15.A.2A4.7B3.B2.2B2.33B19.4B
9.A$410.5B17.A2.A4.19BA28B21.4B10.A$409.5B19.2AB3.20BA29B14.2A5.4B5.
5A$408.5B21.14B2A9BA2B3A25B11.A2.A5.5B3.A$407.5B23.13B2A11B2ABA21B.4B
10.2A.A.AB.7B2.B3A$406.5B24.26B3A23B.4B11.A.2AB.8B2.2B.A$405.5B26.17B
.B5.26B3.4B10.A3.12B4A$404.5B27.16B10.B2.19B6.4B7.3A3.7B2A3BAB2.2A$
403.5B29.15B12.19B8.4B5.A6.7B2A2B.B3A2.A$402.5B31.13B12.21B8.4B4.2A5.
10B3.B.A.2A$401.5B34.13B10.8B2.11B9.9B4.8B8.A$400.5B34.8B4.2A.A6.2AB
2.5B2.11B10.6B5.9B7.2A$399.5B35.6B6.2AB3A3.A.AB2.4B3.9B.B2A8.8B2.4B2.
3B$398.3D2B36.5B8.B4.A2.A13.8B.BA.A5.15B3.5B$398.2BDB37.B.B9.2A.3A2.
2A12.9B4.A5.14B7.2A$397.2BDB39.3B9.A.A17.9B5.2A4.13B8.A$396.4B39.B2AB
9.A.A16.4B2.3B10.2AB.10B10.3A$395.4B41.2A11.A16.4B4.B10.A.AB3.B2A4B
13.A$394.4B71.4B16.A6.B2A3B$393.4B71.4B16.2A6.5B$392.4B71.4B26.3B$
391.4B71.4B28.2B.BA$390.4B71.4B28.B2ABA.A$389.4B71.4B28.BABABA.A$388.
4B71.4B27.A2.A.A.A.A.2A$387.4B71.4B28.4A.2A2.A2.A$461.4B33.A4.2A$460.
4B32.A.A$459.4B33.2A$458.4B$457.4B$456.4B$455.4B14$366.4B$365.4B37.2A
$364.4B37.A.A$363.4B32.2A4.A$362.4B31.A2.A2.2A.4A$361.4B32.2A.A.A.A.A
2.A$360.4B36.A.ABABAB$359.4B37.A.AB2AB$93.4B261.4B39.AB.2B$92.4B37.2A
222.4B43.3B$91.4B37.A.A222.3B43.5B6.2A$90.4B32.2A4.A222.B.2B43.3B2AB
6.A$29.5D55.4B31.A2.A2.2A.4A217.2B.2B42.4B2AB3.BA.A$28.2D3.3D52.4B32.
2A.A.A.A.A2.A216.6B41.10B.B2A14.4B$27.D7.3D49.4B36.A.ABABAB217.8B39.
13B15.4B$26.D11.2D46.4B37.A.AB2AB217.9B38.14B14.4B$25.2D13.2D43.4B39.
AB.2B218.9B37.15B2.A10.4B$25.D16.D41.4B43.3B217.10B35.4B2.8B4.3A7.4B$
25.D17.D40.3B43.5B6.2A208.11B34.3B5.6B7.A5.4B$25.D18.D37.B.2B43.3B2AB
6.A209.11B8.2A22.B.2B4.9B5.2A4.4B$24.D20.D35.2B.2B42.4B2AB3.BA.A209.
10B9.A22.2B.B5.2A4.4B4.9B$24.D21.2D32.6B41.10B.B2A14.4B192.12B4.BA.A
21.3B8.A5.4B5.6B$24.D23.D30.8B39.13B15.4B193.15B.B2A10.A10.4B5.3A7.4B
2.8B$23.D24.2D28.9B38.14B14.4B194.17B12.3A7.4B6.A10.15B$23.D26.D27.9B
37.15B2.A10.4B195.17B15.A5.4B19.14B$23.D26.D27.10B35.4B2.8B4.3A7.4B
193.B.17B15.2A4.4B21.13B$23.D27.D26.11B34.3B5.6B7.A5.4B193.2A19B14.9B
6.2A15.10B.B2A$23.D27.D26.11B8.2A22.B.2B4.9B5.2A4.4B194.2AB.19B14.6B
7.A17.4B2AB3.BA.A$23.D27.D26.10B9.A22.2B.B5.2A4.4B4.9B196.B4.20B2.2B
2.B3.6B5.2A.A18.3B2AB6.A$23.D27.D26.12B4.BA.A21.3B8.A5.4B5.6B202.16BD
19B4.A.BA20.5B6.2A$23.D27.D26.15B.B2A10.A10.4B5.3A7.4B2.8B202.9B.4BDB
D20B3.B2A22.3B$23.D27.D26.17B12.3A7.4B6.A10.15B201.7B2.4B3D9B2A14B20.
AB.2B$23.D27.D26.17B15.A5.4B19.14B201.7B2.4BD11B2A13B20.A.AB2AB$23.D
27.D23.B.17B15.2A4.4B21.13B201.6B4.29B21.A.ABABAB$23.D27.D22.2A19B14.
9B6.2A15.10B.B2A199.7B10.4B.17B18.2A.A.A.A.A2.A$23.D27.D22.2AB.19B14.
6B7.A17.4B2AB3.BA.A198.6B10.3B4.15B19.A2.A2.2A.4A$23.D27.D23.B4.20B2.
2B2.B3.6B5.2A.A18.3B2AB6.A197.7B6.2A.2BA5.15B21.2A4.A$23.D26.D29.16BD
19B4.A.BA20.5B6.2A197.6B6.A.2BA.A5.13B28.A.A$23.D26.D29.9B.4BDBD20B3.
B2A22.3B206.6B7.A2.BA.A2.13B31.2A$23.D26.D30.7B2.4B3D9B2A14B20.AB.2B
208.6B7.A3.A.A.2A4.8B$23.D25.D31.7B2.4BD11B2A13B20.A.AB2AB209.4B5.A.
4A2.AB2A6.6B$23.D25.D31.6B4.29B21.A.ABABAB207.B2A2B4.A.A3.A.A2.B8.5B$
23.D25.D31.7B10.4B.17B18.2A.A.A.A.A2.A206.2A6.A.A2.A2.2A.2A9.B.B$23.D
24.D32.6B10.3B4.15B19.A2.A2.2A.4A215.A3.2A2.A.A9.3B$23.2D23.D31.7B6.
2A.2BA5.15B21.2A4.A227.A.A9.B2AB$24.D22.D33.6B6.A.2BA.A5.13B28.A.A
226.A11.2A$24.2D21.D33.6B7.A2.BA.A2.13B31.2A$25.D20.D35.6B7.A3.A.A.2A
4.8B$25.2D19.D37.4B5.A.4A2.AB2A6.6B$27.D18.D36.B2A2B4.A.A3.A.A2.B8.5B
$27.2D16.D38.2A6.A.A2.A2.2A.2A9.B.B$29.D15.D47.A3.2A2.A.A9.3B$30.D13.
D56.A.A9.B2AB$30.D13.D57.A11.2A$31.4D8.D$35.9D!
------------------------------------------------

* I couldn't really use one of those NW31 0-rated components at the top of the universal regulator, anyway, because then the drive-gun glider can't get past the NW31 -- would have to add an edge-shooter to get it in to test the central eater. But starting with two "0"-rated components made the math a lot less error-prone -- just a matter of starting with a rating of 4 and replacing edge shooters to make the rating go to zero.

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » April 4th, 2020, 6:37 am

Well, I guess I am not 100% confident it works, but here is some not-so-stable universal regulator:

Code: Select all

x = 390, y = 359, rule = LifeHistory
221.2A$222.A$219.3A$219.A2$217.5A14.2A$216.A5.A13.A$216.A2.3A12.A.A$
215.2A.A15.2A$215.A2.4A$216.2A3.A3.2A$175.A42.3A4.2A$175.3A40.A$178.A
36.2A.A$177.2A36.2A.2A3$226.2A$227.A$224.3A$179.3A42.A$178.A3.A$177.A
5.A$177.2A.A.2A2$161.2A$162.A17.A$162.A.A7.2A5.A.A$163.2A6.A.A3.A3.A$
170.3A4.A$169.3A4.A2.A$170.3A4.2A$171.A.A$172.2A6$192.A$191.2A$191.A.
A7$166.2A42.2A$167.2A41.A$166.A41.A.A$208.2A3$207.A$206.2A$201.A4.A.A
$201.2A$200.A.A2$205.2A$205.2A$214.2A$213.2A$215.A$205.A$204.3A$203.A
3.A$202.A.3A.A$203.5A14.A$221.2A$143.3A40.A34.A.A$145.A40.2A$144.A40.
A.A4$170.2A22.A34.2A$171.A20.3A33.2A$171.A.A4.2A11.A10.2A26.A$172.2A
5.2A10.2A10.A$178.A21.3A53.A$200.A53.3A$253.A$171.2A64.A15.2A$171.2A
63.2A$180.2A54.A.A$180.A.A5.3A9.A4.A7.A9.A4.A$180.A6.A3.A6.2A.4A.2A3.
3A7.2A.4A.2A$186.A5.A7.A4.A5.2A.A8.A4.A$186.A5.A$248.2A3.2A$186.A57.
2A3.5A$121.A64.2A55.2A4.2A.2A$121.2A23.A39.2A57.A3.2A.2A$120.A.A23.3A
36.2A2.A30.2A28.3A$149.A36.A.A30.2A$148.2A37.2A32.A$164.3A49.A$166.A
38.A8.3A$165.A18.2A3.2A14.2A6.A34.3A$184.2A3.2A13.A.A6.2A33.3A$31.2A
191.2A21.A3.A$30.A.A115.2A3.2A31.3A34.A.A4.2A14.A5.A$24.2A4.A120.A34.
3A36.A4.2A15.A3.A$22.A2.A2.2A.4A113.A5.A2.2A28.A60.3A$22.2A.A.A.A.A2.
A114.2A.2A2.A.A67.2A$25.A.A.A.A118.A.A5.A38.2A9.2A3.2A11.A.A$25.A.A.
2A120.A46.2A8.2A3.2A11.A$26.A124.A45.A$202.A7.3A3.3A$39.2A146.2A11.3A
7.3A5.A$30.2A7.A147.2A10.A11.A5.A$30.2A5.A.A113.A45.2A$37.2A113.3A28.
2A48.3A10.2A$151.A3.A27.A.A47.A13.A$9.A13.A74.2A50.A.3A.A26.A50.A9.3A
$9.3A11.A.A71.A.A51.5A88.A56.A$12.A10.2A74.A112.3A84.3A$11.2A181.2A3.
2A11.3A83.A$54.A127.2A10.2A3.2A10.A3.A82.2A$27.2A19.2A3.A.A126.2A57.
2A$3.2A23.A20.A3.A2.A133.3A3.3A11.2A3.2A24.A.A51.A$3.A21.3A21.A.2A.A.
A133.A5.3A42.A53.A$2A.A21.A24.A.A.A.2A133.A5.A98.A$A2.3A4.2A41.2A.A2.
A$.2A3.A3.2A46.2A123.3A$3.4A148.2A28.A107.2A3.2A$3.A15.2A53.2A79.A28.
A108.A5.A$4.3A12.A.A14.2A5.2D30.A80.3A89.3A$7.A13.A15.A5.D.D27.A84.A
35.3A51.A45.A3.A$2.5A14.2A14.A.A3.D.2A26.5A14.2A100.3A18.2A32.A45.3A$
2.A24.A10.2A4.2A10.2A20.A13.A100.A3.A17.A$4.A20.3A18.A9.2A17.3A12.A.A
83.2A38.3A$3.2A19.A49.A15.2A83.A.A14.2A3.2A19.A59.A$24.2A48.4A87.A11.
A10.2A86.3A$9.2A61.2A3.A3.2A82.A.A20.A67.2A17.A$10.A45.2A13.A2.3A4.2A
85.2A9.2A5.A.A67.A.A16.2A$10.A.2A6.A.A33.2A13.2A.A13.2A78.2A9.2A5.2A
68.A36.A$11.A2.A6.2A12.2A37.A12.2A79.2A6.2A115.A.A$12.2A7.A12.3A.2A
34.2A13.A66.2A7.A.A7.3A115.2A$27.2A6.2A.3A114.A.A7.A10.2A94.3A$27.2A
5.3A.2A115.A23.2A117.A$34.2A46.2A70.2A23.2A11.2A78.A.A22.3A$56.A26.A
109.A69.3A5.5A20.5A$55.A.A22.3A74.2A24.2A5.3A70.A6.2A3.2A9.A8.2A3.2A$
36.A3.2A14.A23.A74.A3.A5.A2.3A12.A6.A73.A5.2A3.2A8.A10.5A$35.A.A3.A
112.A5.A9.A3.A6.A.A101.3A8.A3.A$34.A.A3.A112.A2.A3.A8.A4.A.A4.2A114.A
.A$30.2A.A.A3.A120.A16.2A112.A6.A$30.2A.A2.4A.A4.2A103.A3.A3.A17.2A
93.A18.A.A$34.A.A3.2A3.A.A65.2A21.2A12.A.2A3.2A18.2A92.A8.A13.2A$30.
2A.2A.A.A6.A8.A.A57.A21.2A12.A23.A.A93.A2.A4.A15.2A$31.A.A3.A.3A2.2A
9.2A57.A.A6.A4.A10.2A8.2A23.A84.A11.A.A7.2A11.2A89.2A$19.2A10.A.A4.A
2.A13.A59.2A4.A.A4.A10.3A115.3A19.A2.2A7.A.A91.A$19.2A11.A6.2A78.2A7.
A10.2A115.A24.A9.A95.A$119.2A11.2A2.2A7.2A110.A17.2D90.2A14.5A$119.2A
8.2A2.A2.2A7.A.A106.A2.A16.D.D91.A13.A$121.A.A5.4A14.A13.2A90.A12.A8.
D92.A.A12.3A$123.A7.A15.2A11.A.A89.A3.A9.2A101.2A15.A$162.A91.A10.A.A
115.4A$110.3A138.A5.A120.2A3.A3.2A$110.A140.A5.A120.2A4.3A2.A$111.A
26.A.A111.A3.A129.A.2A$139.2A112.3A130.A$115.2D15.A6.A147.2A96.2A$
115.D.D14.3A18.3A102.2A7.2A17.A2.A2.2A$115.D19.A19.A103.2A5.A.A17.A.A
4.A2.A$134.2A18.A103.A7.A20.A5.A.A.A79.2A$265.2A23.2A.A2.A80.A$146.A
8.A134.A2.A84.3A$99.A47.2A4.A.A131.A4.A87.A$99.3A44.2A4.A.A109.2A21.
5A$102.A12.A3.3A29.A2.A108.A2.A2.2A$78.A10.A11.2A11.A.A2.5A3.D16.C7.A
.A101.A7.2A2.A.A3.3D12.A$79.A7.3A24.A8.2A3D15.C.C7.A.A8.2A89.3A8.2A7.
D8.2A2.A.A$77.3AD5.A28.3A4.2A.D.D16.2C9.A8.A.A88.3A8.A8.3D6.A3.2A$80.
D5.2A29.2A3.A2.D40.A96.2A.A2.A15.3A$71.2A7.D85.2A85.2A3.2A3.A.2A.A.A
16.A$72.A180.2A3.2A7.A.A$72.A.2A73.2A113.2A2.A$73.A2.A23.D48.A.A110.
3A.2A$74.2A13.3A8.D.D46.A111.A$88.ACD2A7.3D47.A111.3A.2A$88.ACD.A9.D
22.2A22.A114.A.2A$90.2A20.A11.A.A22.3A101.2A$86.2A23.A12.A9.2A11.A3.A
102.A19.2C$86.2A23.A.A9.2A4.2A2.A2.A12.A101.3A20.2C7.2A$98.A3.2A8.A
12.2A2.A4.A.A9.A5.A3.3A92.A31.A$97.A.A3.A21.A.A.A5.A10.A5.A3.A124.A.A
$96.A.A3.A23.A2.A.2A14.A3.A5.A123.2A$92.2A.A.A3.A12.2A13.A2.A15.3A$
92.2A.A2.4A.A10.A15.A4.A$96.A.A3.A.A10.3A13.5A36.A.A$92.2A.2A2.A2.A.A
12.A46.3A5.A3.A84.2A$93.A.A2.2A3.A29.A25.2A2.A2.A.A7.A84.2A$81.2A10.A
.A36.A.A22.A2.A2.2A7.A4.A102.3D$81.2A11.A38.A22.A19.A103.D$156.A10.3A
2.A3.A4.2A98.D$156.A15.A.A6.A.A$157.A2.A22.A93.A$159.2A22.2A91.A.A$
276.A.A$277.A41.2A$278.3A39.A$280.A37.A$318.5A14.2A$323.A13.A$320.3A
12.A.A$319.A15.2A$319.4A$317.2A3.A3.2A$316.A2.3A4.2A$316.2A.A$319.A$
319.2A3$316.A.A8.2A$311.2A2.A.2A9.A$311.A3.A9.3A$312.3A.3A6.A$314.A.A
2.A$318.2A5$318.D10.D$318.2D10.D21.D$317.2D11.2D18.3D$306.2A21.2D2.2A
15.D.D$307.A21.D3.2A15.D$307.A.A51.A$308.2A50.A.A$360.A.A$361.A$321.
2A$321.A.A6.2A$323.A6.A$323.2A6.A$330.2A3$299.2A$298.A2.A2.2A$299.2A
2.A.A3.3D7.2A$301.2A7.D8.A.A$301.A8.3D8.A$298.2A.A2.A16.2A$298.A.2A.A
.A$302.A.A$299.2A2.A$297.3A.2A$296.A$297.3A.2A$299.A.2A2$309.2A$309.
2A7.2A$318.A$316.A.A$316.2A4$296.2A$296.2A5$312.A$311.A.A34.A11.2A$
311.A.A33.A.A10.2A$312.A22.A3.A3.2A2.A.A$313.3A17.3A2.A.A2.A2.2A.2A$
315.A16.A5.A.A3.A.A$332.2A5.A.4A2.A.2A$341.A3.A.A.2A$340.A3.A.A$339.A
3.A.A$339.2A3.A4$352.2A$352.2A$367.2A$366.A2.A$367.2A.A$320.2A48.A$
320.2A48.2A$355.2A18.2A$356.A18.A$327.2A24.3A21.A$326.3A12.2A10.A2.3A
14.5A$324.A16.A.A11.A2.A13.A$323.A.A17.A10.2A2.A.A12.3A$322.A2.A17.2A
14.2A15.A$323.2A48.4A$368.2A3.A3.2A$328.A39.2A4.3A2.A$327.A2.A45.A.2A
$328.A.A45.A$329.A45.2A3$367.2A$367.A$368.3A$335.A34.A$333.A.A$334.2A
8$359.A$357.3A$356.A$356.2A3$364.2A$365.A$323.2A40.A.2A$324.A32.2A4.
3A2.A$322.A19.A.A12.2A3.A3.2A$322.5A14.A.2A17.4A$327.A13.A6.2A15.A$
324.3A12.A.A.2A2.A.A12.3A$323.A15.2A.A.A2.A13.A$323.4A15.A2.3A14.5A$
321.2A3.A3.2A10.3A21.A$320.A2.3A4.2A13.A18.A$320.2A.A20.2A18.2A$323.A
$323.2A2$346.A.A$331.2A13.2A$332.A14.A$329.3A22.2A$329.A17.2A5.A.A$
347.2A7.A$356.2A2$343.A$342.A.A.2A$342.A.A.A.A$339.2A.A.A.A.A2.A$339.
A2.A2.2A.4A$341.2A4.A$347.A.A$348.2A!
to work as intended, the repeat-time would be N+30 (or something close...) where N is the period the regularizing-clock; however, if that is violated, as long as delays between gliders are syringe friendly, nothing would derail, but gliders will go missing in the output. There is probably some minor adjustment to improve that repeat-time, but that is likely to be meaningful it one tries to have a regularizing clock with period lower than the syringe allows (which in principle is possible). Well, hopefully I did not misunderstand what that universal regulator should be...
enjoy!

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dvgrn
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Re: Stable universal regulator

Post by dvgrn » April 4th, 2020, 7:29 am

Jormungant wrote:
April 4th, 2020, 6:37 am
Well, I guess I am not 100% confident it works, but here is some not-so-stable universal regulator... hopefully I did not misunderstand what that universal regulator should be...
You certainly have the right idea in general, and p30N is where universal regulators got their start. Let's say the goal is to align some kind of infrequent input signal to match the period of the circuitry that you want to feed the signal into. If that period is P, then at worst it should be possible to use a drive gun of period 30P, and the connection will work.

One use case where a p30N solution can't be made to work is when you're trying to make a pattern HashLife-friendly. For example, the old pi calculator used a universal regulator based on p8 Herschel technology, to avoid ending up with a multiple of 30 in the clock period.

The original universal regulator looked like this:

Code: Select all

#C Improved Universal Regulator - Paul Chapman 22 Mar 03
#C 
#C Converts a glider in any phase to a glider synced to any desired period.
#C Speed and compression under 1,000.
#C Input p1 gliders are converted to p30 by the first regulator stage.
#C The p30 gliders are then converted to p30n by the second stage.
#C The user can patch in any p30n (n>=2) second-stage gun.
#C So for output period m, choose n so m | 30n.
#C 
#C In this test circuit, a p1049 (prime-period) gun fires input gliders.
#C p120 output gliders increment an sbm, which therefore counts input gliders.
#C The first input glider is in the "most awkward" phase.
x = 387, y = 377, rule = B3/S23
38bo$37bobo$37bobo$36boob3o$42bo$36boob4obbo$36boobo3b3o$42bo$14boo26b
oo33bo9bo15bo$15bo61b3o5b3o13b3o11bo$15bobo47boo13bo3bo15bo14b3o$16boo
47bo13boo3boo14boo16bo14bo$66bo50boo12b3o$65boo63bo$130boo$$10boboo$
10boobo115boo$110boo17boo$19boo41boo46boo$19boo41boo5$31boo3boo75boo$
32bo3bo56boo19bo$29b3o5b3o12boo19bo6boo11bobo15b3o$29bo9bo12bo18b3o6b
oo13bo15bo$27bobo23b3o14bo24boo19boo$27boo26bo14boo45bo$114b3o$114bo5$
5boo$6bo6boo$6bobo4boo$4booboo$3bobo$3bobo$b3oboo7boo11boo$o26bo$b3ob
oo18bobo61bo$3boboo14boob3o62b3o32boo$13boo6boboo67bo22boo7boo$12bobo
6boboo66boo23bo$12bo9b3o91bobo$12bobb4o3bob3o84boo4boo$13bobobo7bobo
30boo52bo20boo$14boo11bo31bo6boo44bobo18bo$27b3o29bobo4boo45boo16bobo$
30bo23boo4boo69boo$29boo23bobo$52bobob3o$48boobboo5bo$48boo8boo3$70boo
$19boo49boo$19boo$$10boo113boo$11bo70boo41boobboo$8b3o67bo3boo45bobo$
8bo68bobo26boo23bo$16boo58bobo21boo5bo23boo$16bo19boo38bo23bobob3o$17b
o17bobo37boo16boo7bobo$16boo17bo57boo7boo$34boo$$42boo$43bo$40b3o$40bo
7boo$48boo3$53boo$52bobo$52bo$51boo$64bobo$63boboo$63bo$62boo47$181boo
$181boo10$178boo3boo$245bo96boo$179bo3bo59bobo96bo$180b3o61boo97bo$
180b3o157b4o$340bo$343b3o$178bo71boo91bobbobo$177b4o69bo93booboo$165b
oo9boobobo66bobo92bobo$165boo8b3obobbo10boo53boo91b3obo$176boobobo10b
4o43boo104boo$177b4o11booboo40booboo99boobobbo$178bo15boo41b4o103b3obo
$238boo101boo4bo$344b3o$342bobo$284boo57bo$206boo77bo$183boo21boo13bo
6bo56bobo6bobo$183boo35boo6boo56boo6bo3bo$219b3o6b3o49boo16bo7bo$220b
oo6boo50boo12bo4bo4b4o$208boobbo8bo6bo69bo4boboboo$212b3o79bo3bo3bobbo
b3o8boo$215bo78bobo6boboboo9boo$214boo72bo13b6o$279b3o6b3o10boo3bo$
204boo3boo68b3o9bo8boo$184bo15boo3b5o7bo60bo3bo7boo10bo$183b3o13boo4b
ooboo5booboo$182b5o4boo8bo3booboo67boo3boo27boo15bo$181boo3boo3boo13b
3o5bo5bo36boo52boo13b3o$182b5o70boo66bo$182b5o27booboboo88bo15boo$183b
obbo89boo30boo$183bo3bo88bobo11boo3boo11bobo$187bo5boo3boo4b3o13boo54b
o13boo3boo$184boobo6b5o5b3o12bobo34b3o32b5o$186bo7booboo4bo3bo12bo10b
oo23b3o8b3o22bobo$194booboo3bo5bo10boo9boo23bo3bo9bo6bo$195b3o5bo3bo
11b3o10bo35bo23b3o25boo3boo$183boo3boo14b3o13boo32boo3boo55boo3b5o$
183bo5bo28bo96boo4booboo$317bo3booboo$184bo3bo88b3o10boo30b3o$185b3o
51bo20boo14bo3bo10bo18boo$196boo21bo12bo5boo19bobo13bo5bo6b3o19bo$196b
oo20b3o11b3o3bobo20bo13bo5bo6bo22b3o$217b5o13bo42bo34bo$216boo3boo11b
oo40bo3bo39b3o$217b5o39bo17bo40b3o$204boo11bo3bo53bobbo40bo3bo$186boo
16boo12bobo15b3o36bo42bo5bo$186boo31bo16b3o7boo28bo42bo3bo$235bo3bo5b
oo26b3o44b3o$247bo10b3o12bo$218boo14boo3boo10boo4bo3bo$218boo31boo3bo
5bo$256bo5bo$259bo$240boo15bo3bo$239bobo16b3o$241bo17bo63boo$323bo$
252boo70b3o$241bo10bobo4boo65bo$252bo6boo4$238b3o$237bo3bo23boo$236bo
5bo16b3o3boo$236bo5bo16bo$239bo20bo$237bo3bo$238b3o$239bo$$267boo$238b
oo27bobo$238boo27bo11bo$277bobo$264boo9boo$264boo9boo12boo$267boo6boo
12boo$267b3o7bobo$267boo10bo$257boo5boo$256bobo5boo$256bo$255boo9$316b
o$316b3o$319bo$312bo5boo$195boo113b3o$195bo6bo106bo$184bobo6bobo4b3o
106boo$182bo3bo6boo4bo$174bo7bo16boo$173b4o4bo4bo131boo3boo$172boobobo
4bo135boo3boo$171b3obobbo3bo3bo10bo$172boobobo6bobo8booboo120b3o$163b
oo8b4o143b3o$162bobo9bo19bo5bo105b3o12bo$162bo22bo119bo3bo40boo$161boo
20bobo8booboboo103bo5bo39boo$174boo8boo119bo3bo37boo10bo4bo$174bo131b
3o30boo5b3o10bo4bobo$163bobo6bobo20bo110b3o30boo6boo10bo7boo$163bobbo
5boo21bobbo120bo30boobboo11boo$148bo6bo10boo27bo121boo31boobbobboo8boo
$147bobo5bo8bo3boo28boo118boo35b4o5bobo4boo$146boboo6bo9boo31bo137boo
17bo7bo6bobo$140boo3booboo9boobbobbo30bobo104b3o15b3o10bobbo34bo$140b
oo4boboo5b3obbobbobo31boo59bo44booboo13bo3bo47boo$147bobo7b4o97b3o42b
ooboo12bo5bo8bobbo$148bo9boo101bo41b5o4boo6bo5bo9bobbo7bobo3bo$192boo
3boo55bo5boo40boo3boo3boo9bo13bobo7boo3boo$192bo5bo53b3o66bo3bo12bo9bo
3bobo$251bo39boo29b3o$162boobboo25bo3bo53boo38boo30bo13boo26boo$161bo
3bobo26b3o140boo26bobo$162bo4bo109boo24boo13bobo4boo28bo4boo6bo7boo$
277boo40boo4bo28bobobbobbobbobbo7boo$163bo155bo6b3o25boobob3o6bo$163bo
bbo82bo10boo3boo61bo25booboo6bobo$164boo26boo54b3o54boo47boobo7boo$
193bo53b5o9bo3bo39boo8b4o24boo9bobo$173bobo14b3o53bobobobo9b3o45boo7bo
22bobo10bo$174boo14bo55boo3boo9b3o12b3o11b3o16boobboo3bo22bo$174bo101b
ooboo9bo3bo19boobbo22boo$276booboo8bo5bo36bobo22bobo$193b3o53bo26b5o8b
o5bo36boo18bo4bobbo$195bo52bobo24boo3boo10bo27boo11bo6bo12boo5boo8bo$
194bo52boobo39bo3bo25bo17b3o7boo8bo3boo5bobo$181bo65b3o9bo5bo25b3o15bo
8bobo16bo10boo10boo6boboo10boo$182boo62bobbo8bo5b3o10boo13bo16b4o5boo
17boo18bobbo6booboo10boo$181boo63b3o9b3o3b3o9b5o18boo9b4o43bobo8boboo$
245bo3bo26bo22boo9bobbo17bo37bobo$244bo5bo11boo3boo9b3o12b3o8bo5b4o17b
obo12boo12bo9bo$245bo3bo5bo6boo3boo11bo12b3o8bo4b4o18boo13boo11bo$246b
3o7bo21boo12bo3bo12bo49b3o$254b3o21boo6bobo$286boo3boo3boo14bo32b3o$
171bobo90boo21bo24bobo30boo$170bobbo3boo94boo3boo32boo20b3o11boo35boo$
161boo6boo5b3oboobboo87bobobobo3boo48bo3bo9b3o35bo$161boo4boo3bo3bo3bo
3bobo80boo5b5o4boo47bo5bo7bobo15b3o9boo5bobo$169boo5bobo8bo7boo70bo7b
3o55bo3bo8boo16bo9bobbo5boo$132boo36bobbobboo6bobbo7boo71b3o5bo57b3o
22bo5bo7bo$133boo36bobo13bo82bo63b3o20b4o12bo$132bo51bobo60boo53boo52b
oboboo11bo$184boo61boo7boo38boo4boo33boo16bobbob3o11bobbo$252boo4b4o
34bo40bo18boboboo14boo$252boobboob3o30bo4b3o38b3o4bo6boo3b4o$256bo13bo
22boo4bo40bo3bo6bobo5bo$271bo4boo14boo50b3o4bo$269b3o4boo7boo63boo$
281boobobboboo21boo7boo$281bo4bobboo21bobo7bo$285bo26bo9bobo5bo$282bob
o17bobo18boo5boo$302boo27boo$303bo27b3o$254bo71boo3boo$254b4o72boo8boo
$238bo16b4o55bo15bo9bobo$237bobo5boo8bobbo5boo46b3o27bo$91bo10boo126b
oo3boo3bo14b4o5boo35bo9bo30boo$91b3o4boobobboboo122boo3boo3bo4boboboo
3b4o43bobo7boo24boo$94bo3boobbo4bo11bo115boo3bo5boo3bobbo20bo25boo34b
3o$93boo8bo13b3o117bobo10bo24bo55boobbobbobo$104bobo9bo121bo8bobbo15b
oo6bobo54boobboobboo$116boo148boo7bo59boo7boo$253bobo10boo7bo68boo$
114bo140bo11bo7bo10bo35bo$113b3o135bo14bobo6bo9bo36b3o$112bo3bo136bo
11boobo5bobo8b3o37bo$93boo3boo14bo137bo22bo48boo$94b5o3boo7bo5bo157bo
30boo3boo$94booboo4boo6bo5bo120boo26boo40b3o33b3o$94booboo3bo9bo3bo
121boo4bo21boo39bo3bo$95b3o15b3o111boo6boo6b5oboo37bo14bo4bobo33bobo$
227boo5b3o5bobboo4bo36bobo10bobo5bo27boo4b5o$109boo124boo5boo8bo12bo
22boo5boo5boo33boo3boo3boo$108boo128boo4bo7bo10bobo29boo45boo3boo$110b
o127boo12bo11boo68b3o$97b3o151bo8boo47boo15b3o7bo$97b3o149boo9bobo46b
oo14bo3bo5bo6boo$96bo3bo161bo61bo5bo9boobo$95bo5bo160boo61bo3bo10bo$
96bo3bo185boo38b3o$97b3o12bo145bo28bo38bobbo11b3obo$111b3o143bobo27bob
o6boo29b3o15bo$111b3o144bobo27boo6boo29boobo14bo$259boo38boo10bo16bobo
$109boo3boo176bo6b3o7bobo17bo$109boo3boo176bo6boo6boo$296boo9boo12boo$
296boo9boo12boo3boo3boo7boo3boo$112bo152boo15boo25bobo14bobobobo9b3o$
111bobo151boo15boo15bo11bo15b5o9bo3bo$97boo14boo184bobo26b3o11bobo$97b
oo14boo184boo28bo13bo$112b3o166boboo$111bobo167bobo10boo44boo$111boo
169bo11bobo44bo$282boo10bo43b3o$282boo54bo$274boo6boo23boo$274bobo30bo
bo19boo$275bobo19bo4boo4b3o18boo$276bo19boboboobbo4b3o6boo$284boo9bo3b
ob3o4b3o7boo$284boo9bo3boboo4bobo$295bo3boo6boo$296bobo$297bo!
It was fairly quickly improved to this:

Code: Select all

#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, small improvement by Dave Greene
x = 247, y = 294, rule = B3/S23
62boo$62bo$56boo5bo$55bobo4boo$55bo$54boobo$53bobboo$53boo8$67boo$67bo
bo$69bo$69boo13$58boo$58boo$$65boboo$65boobo4$48boo$48bobo$50bo$50boo$
33bo$33bobo$33boo$69boo$25bo43bo$23boo42bobo$10boo12boo24boo15boo$10b
oo38boo$6bo$6b3o$9bo57boo$8boo11bo45bobo$20bobo7boo37bo$20bobo7boo37b
oo$21bo5$18boo31boo$18boo32bo$4boo43b3o$4boo43bo$oo$oo$$67boo$67bobo$
69bo$69boo$71bo$69b3o$68bo$52boo15bo$65bo3bo$47bobo14bo$47bo3bo11boob
oo$50boboo10boo113boo$24boo23boobo126boo$23bobo25bo18boo$24bo34boo9boo
$46boo11boo$45bobo132bo$45bo133bobo$44boo132bo3bo$179b3o$177boo3boo$
26boobo$26boboo$oo50boo$bo17boo31boo$bobo15boo161bo$bboo178bo$178b3obo
$$8bo168bo$7boo168boobo$7bobo169boo3$146bo32boo3boo$139boo5b3o5boo3bo
bbo3boo11boo3boo$69bobo67boo8bo4b5o4b5o4bo7b5o$70boo76boo4boo3bobbo3b
oo3bo9bobo$70bo54boo44b3o$124bobbo53b3o$127bo12bo48boo$127bo11bobo47b
oo$58boo65bobo10bo3bo$25boo31boo65bobo11b3o$25boo99bo10boo3boo$49boobo
97b3o29boo4b3o$49boboo96bo3bo23boo3boo4b3o$123boo3boo18bo5bo21boo9bo3b
o$123bo5bo19bo3bo24bo7bo5bo$33boo107bo7b3o34bo3bo$33bo90bo3bo13bo7bobb
o34b3o$31bobo91b3o10b3obo8b3o6bobo$18boo11boo118boobo8bo$7boo9boo34bo
82bo14bobo4bo3bo21bo$7boo18bo25bobo81boobo12bo9bo20boo$26boboo23boo84b
oo19bobbo20bobo$13boo10boobo132b3o$11booboo11bo3bo118boo3boo$14bo14bob
o97bo9boo3boo4bobobobo$9bo3bo113bobo9boo3boo5b5o$9bo15boo101boobbo7b5o
7b3o$10bo120bo9bobo9bo$7b3o114bo6b3o53bo$7bo115b3o15b3o42b3o$8boo112b
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
bbo3bo5boobo$21boboo105bo29bo28bo4b3obbo19boobbo4bo4bobbo5boo$23bo102b
o3bo25bo31boobo5boo9boo8boo5b4o4boobo5boo$15boo4bobo103b4o26bo28bobbo
3bobbo11boo7b3o7bo3b3o$15bo5boo92bo42bobbo24boobboob4o21boo11boo$16bo
98boo43bobo29bo26boo$15boo97bobo75bobo25bo$133boo7boo49boo$123bo9bo9bo
$122boo10b9o$122bobo6b3obb5obb3o24bo$131bobbobb3obbobbo22boo$96boo9boo
23boo9boo24boo$96bobo9boo$87b3oboo4b3o7bo6bo$87b4obbo4b3o12bobo26bo$
91boo4b3o12bo3boo11boobboo6b4o$96bobo13bo3boo6bobobbob4o5boobobo3boo$
96boo14bo3boo4bo3bo3boboo5b3obobbobboo25bo$113bobo6bo12bo4boobobo29boo
$114bo6bo4bo14b4o30bobo$122bo19bo$122bo3bo$124bobo$199boo$199boo$176bo
$176b3o$179bo$178boo$$172boo$172boo$191bo$190boo7bo$190bobo5b3o$164boo
12boo3boo12b5o$164bobo11boo3boo11boo3boo$161boobobo12b5o3bo9b5o$161bob
obo6bo7bobo4boo8b5o$163bo7b3o12bobo8bobbo$156bo4bobbo5b5o5b3o13bo3bo$
155b3o6bo4bobobobo20bo$154boobobbo3bo4boo3boo20boboo$154b3o7bo32bo$
155boo4bobbo$163bo8bo10bo$147boo12bobobo5bobo8bobo9boo3boo$147boo12boo
bobo4boboo6bo3bo8bo5bo$164bobo5b3o7b3o$164boo6bobbo4boo3boo8bo3bo$173b
3o20b3o$172bo3bo$171bo5bo$166bo5bo3bo$165bo7b3o$148bo7bo8b3o$147b3o5b
3o$146b5o4boboo38boo$145boo3boo4b3o38boo$156boo$183boo$150boo31boo$
152bo$149bo$149bobbo$148booboo$149boo$161b3o6b3o$161bo7bo3bo$147boo3b
oo8bo5bo5bo$147boo3boo14booboboo$148b5o$149bobo$168bo$149b3o16boo$$
167boobo$167boobbo$168b4o$$150boo$150boo14boo3boo$169bo$166bo5bo$167b
ooboo$168bobo$169bo$169bo5$168boo$168boo!
Obviously your boat-testing mechanism is a big improvement on recovery time over these old 2003 p30N models, let alone over the stable mechanisms in this thread.

One thing I like about the stable mechanism is that it's a lot simpler to understand and explain: if you shoot down a key eater, a drive-gun glider will no longer get stopped by the eater so it will trigger a circuit that rebuilds the eater and sends out an output signal. All of these p30 mechanisms seem to have a lot more going on than that, with missing gliders in various streams conspiring to produce an output by seemingly magical iterated double-negative logic.

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » April 4th, 2020, 8:09 am

Well, the much simpler construction I put in the p30 thread is alone emulating the 2 constructions you linked (and now with repeat time of 78)

Code: Select all

x = 224, y = 137, rule = LifeHistory
7$54.A$54.3A$57.A$56.2A$56.4B2A$58.4BA11.A$57.7B8.3A$56.9B6.A$56.9B6.
2A$53.13B2.5B$50.2B.18B$49.2A19B2A$49.2AB.17B2A$50.B.17B.B$53.16B$54.
14B$53.4B2.8B$52.ABAB3.7B$51.B2AB3.11B$50.3BA4.12B$49.4B5.9BA2B$48.4B
7.7BABAB$47.4B6.8BA3DA$46.4B7.2A2.B.2BABDAB$45.4B9.A4.2BC2DAB$44.4B7.
3A6.BABA2B$43.4B8.A8.7B$42.4B18.8B$41.4B20.8B$40.4B21.9B$39.4B21.6B.
4B$38.4B22.7B.4B$37.4B24.6B2.4B$36.4B25.6B3.4B$35.4B26.6B4.4B$34.A3B
26.8B4.4B$33.A3B26.8B6.4B$18.A13.B3A27.9B6.3BA$18.3A10.4B28.9B7.ABAB$
21.A8.4B28.10B8.2A2B$20.2A7.4B29.3B2A5B9.4B$20.5B3.4B29.4B2A5B10.4B$
22.3B2.4B30.11B11.4B$12.2A7.9B26.2A.A7BD4B12.4B$12.A8.8B27.A.2A2.4B3D
B15.4B$9.2A.A.B3.10B35.2B2D2BD16.4B$9.A2.3AB.2B2A7B36.6B17.4B$10.2A2.
BA3B2A7B36.6B18.4B$12.4A12B35.7B19.4B$12.A.2B3.7B.B2A34.8B18.4B$13.3A
B2.7B.BA.A26.A6.8B19.4B$16.A3.5B5.A26.3A4.7B21.4B$11.5A4.5B5.2A16.A
11.A2.3B3AB.B21.4B$11.A8.B.3BA22.3A8.2A3.2BA2BA.2B21.4B$13.A9.ABAB24.
A7.7BA2BA3B.B20.4B$12.2A10.2A2B10.A11.2A3.B5.7BD5B2A20.4B$25.4B7.3A
11.8B2.7B2DCA3BA.A.2A17.BABA$26.4B5.A16.15BD2BAB.2B.A.A19.B2AB$27.4B
4.2A15.20B2.B2A2.A19.A3B$20.2A6.9B14.19B4.B2.2A21.4B$21.A7.6B14.21B5.
2A24.4B$21.A.2A5.6B3.B2.2B2.25B5.A25.4B$22.A2.A4.19BC14B4.4B4.A.A24.
4B$23.2AB3.20BCBC4B.6B6.B2CB4.2A25.4B$24.14B2A9B3C4B2.B.5B5.C3B31.4B$
25.13B2A11BC4B7.2A6.3CB31.4B$26.29B8.A8.BC2B31.4B7.3B4.B$26.17B.B.2B
16.3A6.3BD31.4B6.A2B$27.15B4.3B17.A7.3BD31.4B5.3B$27.15B5.A2B.2A22.2D
2B31.4B4.2B63.B2A3B21.2A$28.13B5.A.A2B.A23.4B31.4B3.2B61.3BA2BA3B19.A
$30.13B2.A.AB2.A25.3B32.4B2.2B59.2A7BA4B2.B.BABA2B4.BA.A$29.8B4.2A.A.
A3.A27.2B33.4B.2B17.2B39.3BA6BA7BA3BA4B2.B2A$29.6B6.2ABA2.4A.A26.B34.
6B40.A15.A3BA7BA7BA11B$29.5B8.B2.A.A3.A.A61.2BA3B28.B9.A.A13.A3B2.3BA
2BA7BA4BA7B$29.B.B9.2A.2A2.A2.A.A62.2B2A40.A13.A4BA3.B2A10BA10B$30.3B
9.A.A2.2A3.A64.2A2B53.2BA2B.B7.8BA3BA4B$29.B2AB9.A.A73.4B36.5A10.A5BA
B6.ABA4B3.BABA2B$30.2A11.A74.5B34.A4.A10.A5BAB5.B2A2B$120.4B32.A.BAB
12.BA3BAB5.3BA$121.4B28.A2.A.2AB12.2B3A2B4.4B$122.4B26.A.A.A.4BA10.7B
3.4B$123.4B25.2A2.A3.BABA9.7B2.4B$124.4B22.2A4.2A2.A2BA10.5B2.4B$125.
4B22.A9.2A5B5.8BA2B$126.4B21.A.AB8.5B5.B.4B2A2B28.B$127.4B10.A10.2AB.
3B3.7B4.B2.4B2A29.B$128.4B7.3A12.16B3.8B16.B13.B$129.3BD5.A15.16B3.7B
16.2B13.B$130.DBDB4.2A15.15B3.4BAB17.2B13.B$123.2A6.2D7B14.21B2AB19.B
13.B$124.A7.6B14.26B$124.A.2A5.6B3.B6.28B.B14.2A$125.A2.A4.5B.4B3.B2.
3BD24B.B14.A$126.2AB3.5B2.4B4.B3.BDBD4B.11B2D5B3.4BAB3.BA.A$127.9B3.
2B2C2.B.2B2.B3D4B2.9BDBD12BABAB.B2A$128.9B2.2B2C9.2BD4B2.10BD14BABA2B
$129.17B5.7B4.24BA2BAB6.B$129.17B.B.2B11.5B3.16BABAB6.2B$130.15B4.3B
10.5B4.5BABA6BABAB6.3B$130.15B5.A2B.2A7.4B4.6B2AB.4BAB7.4B$131.13B5.A
.A2B.A5.5B4.4B3.A3B10.6B$133.13B2.A.AB2.A6.2A6.3AB5.6B6.6B$132.8B4.2A
.A.A3.A8.A5.3BA7.6B4.6B$132.6B6.2ABA2.4A.A3.3A5.3BA8.7B2.6B$132.5B8.B
2.A.A3.A.A2.A6.4B11.4B$132.B.B9.2A.2A2.A2.A.A8.4B10.5BA11B$133.3B9.A.
A2.2A3.A8.4B12.5B2AB.6B$132.B2AB9.A.A15.4B13.4B2A3B.4B$133.2A11.A15.
2A2B19.4B$161.ABAB21.4B$148.3BA2B3.6BA10.2A7.2B2.4B$146.5BABA9B11.A4.
B7.4B2.4B2A6.B$145.9B2A9B2AB3.BA.A4.B7.9BA3BA$144.10B2A9B2A3B.B2A5.B
2A13BA5BA$144.10B2A3B.2B2A8B5.3B2A13BA3BA2BA$142.2AB.5BABA7B3A8B4.7B
2A5B2A3BA7B$141.A.AB3.3BA2B.B2.4B2A7B4.8B3A3BA6BA3BA.2BA$141.A18.5B2A
3B5.8B2A5B2A5B2A3.2A.A$140.2A20.3B2AB5.2AB.3B2A12B11.A$172.A.AB3.B2A
4B2.7B10.2A$172.A19.4B$171.2A19.5B5$203.4B$204.4B!
viewtopic.php?f=2&t=243&start=75#p93189

Now the regularizing clock can be anything, namely a p91 gun in the example I linked (as opposed to p30/60/90). Obviously, I am not using stable circuitry, but the p30 phase as no impact on the output (unless incoming gliders violates the repeat-time)

That being said, the p30 phase might cause a glider to appear 91 gens later, but no glider would disappear in the process.

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » April 8th, 2020, 4:47 am

Well, I affirm I actually am 100% confident it works, so here is some very stable universal regulator:

Code: Select all

x = 346, y = 302, rule = LifeHistory
19$278.2A$277.A.A$271.2A4.A$269.A2.A2.2A.4A$269.2A.A.A.A.A2.A$272.A.A
.A.A$272.A.A.2A$273.A2$286.2A$277.2A7.A$259.A17.2A5.A.A$259.3A22.2A$
262.A14.A$261.2A13.2A$276.A.A2$253.2A$253.A$250.2A.A20.2A18.2A$250.A
2.3A4.2A13.A18.A$251.2A3.A3.2A10.3A21.A$253.4A15.A2.3A14.5A$253.A15.
2A.A.A2.A13.A$254.3A12.A.A.2A2.A.A12.3A$257.A13.A6.2A15.A$252.5A14.A.
2A17.4A$252.A19.A.A12.2A3.A3.2A$254.A32.2A4.3A2.A$253.2A40.A.2A$295.A
$294.2A3$286.2A$286.A$287.3A$289.A8$264.2A$263.A.A$265.A34.A$298.3A$
297.A$297.2A3$259.A45.2A$258.A.A45.A$257.A2.A45.A.2A$258.A39.2A4.3A2.
A$298.2A3.A3.2A$253.2A48.4A$252.A2.A17.2A14.2A15.A$253.A.A17.A10.2A2.
A.A12.3A$254.A16.A.A11.A2.A13.A$256.3A12.2A10.A2.3A14.5A$257.2A24.3A
21.A$286.A18.A$285.2A18.2A$250.2A48.2A$250.2A48.A$297.2A.A$296.A2.A$
297.2A$282.2A$282.2A4$269.2A3.A$269.A3.A.A$270.A3.A.A$271.A3.A.A.2A$
262.2A5.A.4A2.A.2A$245.A16.A5.A.A3.A.A$243.3A17.3A2.A.A2.A2.2A.2A$
242.A22.A3.A3.2A2.A.A$241.A.A33.A.A10.2A$241.A.A34.A11.2A$242.A5$226.
2A$226.2A4$246.2A$246.A.A$248.A$239.2A7.2A$239.2A2$229.A.2A$227.3A.2A
$226.A$227.3A.2A$229.2A2.A$232.A.A$228.A.2A.A.A$228.2A.A2.A16.2A$231.
A8.3D8.A$231.2A7.D8.A.A$229.2A2.A.A3.3D7.2A$228.A2.A2.2A$229.2A3$260.
2A$253.2A6.A$253.A6.A$251.A.A6.2A$251.2A$291.A$290.A.A$238.2A50.A.A$
237.A.A51.A$237.A21.D3.2A15.D$236.2A21.2D2.2A15.D.D$247.2D11.2D18.3D$
248.2D10.D21.D$248.D10.D5$248.2A$244.A.A2.A$242.3A.3A$241.A3.A$241.2A
2.A.2A$246.A.A36$152.A$151.A.A$152.A2$150.5A$150.A4.A$153.A2.A$153.2A
.A2.A$150.A5.A.A.A$77.2A11.A28.A29.A.A4.A2.2A$77.2A10.A.A26.A.A4.2A
22.A2.A2.2A4.2A$89.A.A2.2A3.A18.A.A4.2A23.2A9.A$88.2A.2A2.A2.A.A12.A
3.2A.2A12.A24.A.A$92.A.A3.A.A10.3A3.A14.3A24.2A10.A$88.2A.A2.4A.A10.A
7.A.2A9.A39.3A$88.2A.A.A3.A12.2A4.A.A.2A9.2A41.A$92.A.A3.A17.2A55.2A$
93.A.A3.A88.2A$94.A3.2A88.A$127.2A56.2A.A$127.2A31.D23.A2.A$140.2D16.
D.D24.2A$85.2A11.D41.D.D15.3D9.2C$85.2A9.3D42.D16.D11.2C$70.2A24.D.D$
69.A2.A23.D$68.A.2A$68.A$67.2A89.2A3.A$82.2A37.D28.2A6.A3.A.A$82.A38.
D.D26.A8.A3.A.A.2A$35.2A11.A6.2A26.3A24.2A9.3D27.3A6.A4.A.2A$35.2A10.
A.A4.A2.A13.A13.A11.2A11.2A11.D29.A4.A.5A$47.A.A3.A.3A2.2A8.D2A25.A
58.A.A5.3A.A$46.2A.2A.A.A6.A8.A.A22.3A57.3A.A.2A.A3.2A$50.A.A3.2A3.A.
A7.D23.A11.A27.2A17.A5.A.A.A.A11.2A$46.2A.A2.4A.A4.2A41.3A21.2A4.A18.
2A9.A.3A8.2A$46.2A.A.A3.A48.A20.2A.A.A5.3A28.A2.A$50.A.A3.A46.A.A6.D
12.A.2A.A.A5.A28.A.A$51.A.A3.A45.A.A6.D.D16.2A29.2A4.A$52.A3.2A14.A
31.A7.2D49.A$71.A.A89.A.2A$72.A82.2A4.3A2.A$50.2A103.2A3.A3.2A$43.2A
5.3A.2A104.4A$43.2A6.2A.3A31.2A56.2A15.A$28.2A7.A12.3A.2A32.2A55.A.A
12.3A$27.A2.A6.2A12.2A92.A13.A$26.A.2A6.A.A33.2A70.2A14.5A$26.A45.2A
90.A$25.2A81.2A52.A$40.2A66.A.A51.2A$19.2A19.A69.A$20.A20.3A18.A9.2A
27.2A7.2A$18.A24.A10.2A4.2A10.2A27.2A$18.5A14.2A14.A.A3.D.2A$23.A13.A
15.A5.D.D29.A.2A$20.3A12.A.A14.2A5.2D28.3A.2A$19.A15.2A51.A$19.4A66.
3A.2A$17.2A3.A3.2A46.2A15.2A2.A$16.A2.3A4.2A41.2A.A2.A18.A.A$16.2A.A
21.A24.A.A.A.2A16.A.2A.A.A16.A$19.A21.3A21.A.2A.A.A17.2A.A2.A15.3A$
19.2A23.A20.A3.A2.A20.A8.3D6.A$43.2A19.2A3.A.A21.2A7.D8.2A$70.A20.2A
2.A.A3.3D$27.2A61.A2.A2.2A$28.A10.2A50.2A$25.3A11.A.A74.A$25.A13.A75.
A.A$91.2A22.A.A$53.2A37.A21.2A.2A$46.2A5.A.A36.A.A23.A$46.2A7.A37.2A
19.2A.A$55.2A57.2A.A.A$118.2A$42.A$41.A.A.2A$41.A.A.A.A44.2A$38.2A.A.
A.A.A2.A41.2A$38.A2.A2.2A.4A$40.2A4.A$46.A.A84.A$47.2A84.3A$136.A$
135.2A3$127.2A$127.A$117.2A5.2A.A$117.A.A4.A2.3A4.2A$119.A5.2A3.A3.2A
$119.2A6.4A$127.A15.2A$128.3A12.A.A$131.A13.A$126.5A14.2A$126.A$128.A
$127.2A!
Any complains now?
:P

User avatar
calcyman
Posts: 2245
Joined: June 1st, 2009, 4:32 pm

Re: Stable universal regulator

Post by calcyman » April 8th, 2020, 6:38 am

Jormungant wrote:
April 8th, 2020, 4:47 am
Well, I affirm I actually am 100% confident it works, so here is some very stable universal regulator:
Wow, that's impressively compact, and with a fast recovery time as well. Congratulations!
What do you do with ill crystallographers? Take them to the mono-clinic!

User avatar
dvgrn
Moderator
Posts: 6986
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Stable universal regulator

Post by dvgrn » April 8th, 2020, 2:39 pm

calcyman wrote:
April 8th, 2020, 6:38 am
Jormungant wrote:
April 8th, 2020, 4:47 am
Well, I affirm I actually am 100% confident it works, so here is some very stable universal regulator:
Wow, that's impressively compact, and with a fast recovery time as well. Congratulations!
Great find! And it can be run with a much faster drive gun than the p91 one you have there:

Code: Select all

x = 296, y = 484, rule = B3/S23
254b2o11bo$254b2o10bobo$266bobo2b2o3bo$265b2ob2o2bo2bobo6b2o$269bobo3b
obo6b2o$265b2obo2b4obo$265b2obobo3bo$269bobo3bo$270bobo3bo$271bo3b2o3$
267b2o$262b2o2b3o2b2o$262bo2bobo4b2o$247b2o14bo3bob2obo$246bo2bo16bo3b
2o$245bob2o$245bo48b2o$244b2o48b2o$259b2o$259bo$249b2o9b3o$248bobo11bo
10b2o$250bo21bobo$272bo$271b2o12$256b2o$256bo$254bobo21bo$254b2o10bo
11bobo$266b3o9b2o$269bo$268b2o$233b2o48b2o$233b2o48bo$280b2obo$257b2o
3bo16bo2bo$256bob2obo3bo14b2o$255b2o4bobo2bo$237bo18b2o2b3o2b2o$235b3o
22b2o$234bo$233bobo$233bobo16b2o3bo$234bo17bo3bobo$253bo3bobo$254bo3bo
bob2o$245b2o5bob4o2bob2o$245bo5bobo3bobo$218b2o26b3o2bobo2bo2b2ob2o$
218b2o28bo3bo3b2o2bobo$260bobo10b2o$232bo28bo11b2o$231bo$231b3o4b2o$
238bobo$240bo$231b2o7b2o$231b2o2$221bob2o$219b3ob2o$218bo$219b3ob2o$
221b2o2bo$224bobo$220bob2obobo$220b2obo2bo16b2o$223bo19bo$223b2o16bobo
$221b2o2bobo13b2o$220bo2bo2b2o$221b2o3$252b2o$245b2o6bo$245bo6bo$243bo
bo6b2o$243b2o$283bo$282bobo$230b2o50bobo$229bobo51bo$229bo25b2o$228b2o
25b2o8$240b2o$236bobo2bo$234b3ob3o$233bo3bo$233b2o2bob2o$238bobo35$
145bo$144bobo$145bo2$143b5o$143bo4bo$146bo2bo$146b2obo2bo$143bo5bobobo
$70b2o11bo28bo29bobo4bo2b2o$70b2o10bobo26bobo4b2o22bo2bo2b2o4b2o$82bob
o2b2o3bo18bobo4b2o23b2o9bo$81b2ob2o2bo2bobo12bo3b2ob2o12bo24bobo$85bob
o3bobo10b3o3bo14b3o24b2o10bo$81b2obo2b4obo10bo7bob2o9bo39b3o$81b2obobo
3bo12b2o4bobob2o9b2o41bo$85bobo3bo17b2o55b2o$86bobo3bo88b2o$87bo3b2o
88bo$120b2o56b2obo$120b2o55bo2bo$178b2o$78b2o83b2o$78b2o83b2o$63b2o$
62bo2bo$61bob2o$61bo$60b2o89b2o3bo$75b2o66b2o6bo3bobo$75bo67bo8bo3bobo
b2o$76b3o24b2o39b3o6bo4bob2o$78bo11b2o11b2o41bo4bob5o$24b2o11bo53bo58b
obo5b3obo$24b2o10bobo49b3o57b3obob2obo3b2o$36bobo2b2o3bo3bo37bo11bo27b
2o17bo5bobobobo11b2o$35b2ob2o2bo2bobo2b3o45b3o21b2o4bo18b2o9bob3o8b2o$
39bobo3bobo5bo43bo20b2obobo5b3o28bo2bo$35b2obo2b4obo5b2o42bobo19bob2ob
obo5bo28bobo$35b2obobo3bo12b2o37bobo25b2o29b2o4bo$39bobo3bo12b2o37bo
58bo$40bobo3bo10bo98bob2o$41bo3b2o101b2o4b3o2bo$148b2o3bo3b2o$153b4o$
28b2o10bob2o37b2o56b2o15bo$27b2o11b4o37b2o55bobo12b3o$28b2o10bo3bo9b2o
82bo13bo$17b2o13bo8b3o10b2o81b2o14b5o$16bo2bo21b3o11b2o100bo$15bob2o
22bo10bo3b2o43b2o52bo$15bo36bo3bobo5b2o35bobo51b2o$14b2o36bo3bobo5b2o
37bo$29b2o25b3o35b2o7b2o$29bo27bob2o33b2o$30b3o18bo4bobo$32bo10b2o5bob
o31bob2o$42bobo37b3ob2o$42bo38bo$41b2o39b3ob2o$84b2o2bo$36bo19b3o28bob
o$34b3o19b3o24bob2obobo16bo$11b2o20bo20b2obobo23b2obo2bo15b3o$10bobo7b
2o11b2o11bo6bo3b2o27bo17bo$12bo7b2o24b3o5bob2o28b2o16b2o$5bo19bo5bo17b
o5b2o27b2o2bobo$6b2o15bo3bo2b2o16b2o33bo2bo2b2o$5b3o15bo4b3o32b2o19b2o
$2o20bo5b2o33bo45bo$2o21b3o2b2o30b2obo44bobo$5bo17b2o34bo2bo21b2o22bob
o$4bobo18bo34b2o23bo21b2ob2o$4bobo78bobo23bo$5bo30bobo47b2o19b2obo24bo
$37b2o6bo2bo58b2obobo22b3o$5b2o30bo9b2o62b2o25bo$5b2o36b6o88b2o$32b2o
3bo5bo$32bo3bobo46b2o$19b2o12bo3bobo3bo41b2o42b2o$18bobo13bo3bobobo86b
o$18bo13bob4o2b3o83b2obo$17b2o12bobo3bobo2bo83bo2b3o4b2o$31bobo2bo2b2o
b2o83b2o3bo3b2o$32bo3b2o2bobo86b4o$40bobo10b2o74bo15b2o$41bo11b2o75b3o
12bobo$133bo13bo33bo2b2o$128b5o14b2o32b4obo$128bo57bo$110b2o18bo48b7ob
2o$110bobo16b2o47bo6bobo2bo$112bo65b2o2b2obo3b2o$112b2o59b2o7b2ob2o$
173bo$175bo$171b5o$171bo$174b4o$174bo2bo4b2o$182b2o$169b2o$169bo2bob2o
$171b2ob2o4$171bo$169b3o13b2o$168bo16bo$168b2o16b3o$188bo4$154b2ob2o$
152bo2bob2o$152b2o$165b2o$157bo2bo4b2o$157b4o$154bo$154b5o$158bo$156bo
$156b2o7b2ob2o56b2o$161b2o2b2obo3b2o6bo2b2o42bo$161bo6bobo2bo6b4obo39b
o5b2o$162b7ob2o13bo39b2o5bo$169bo8b7ob2o44bob2o$164b4obo7bo6bobo2bo35b
2o2b2obo2bo$164bo2b2o8b2o2b2obo3b2o35b2o3bob2o$172b2o7b2ob2o44bo$172bo
56b2o$174bo61b2o$170b5o21b2o38bobo$170bo26bo40bo$173b4o18bo5b2o35bob2o
$173bo2bo4b2o12b2o5bo25b2o5b2obobo$181b2o19bob2o22b2o5b2obobo$168b2o
25b2o2b2obo2bo32bob2o$168bo2bob2o20b2o3bob2o15b2o14b4o2bo$170b2ob2o25b
o17bobo14bo3b2o$199b2o17bo18b2o$206b2o9b2o19bo$171bo34bobo27bo$169b3o
36bo27b2o$168bo15b2o22bob2o$168b2o14bo13b2o5b2obobo$185b3o10b2o5b2obob
o$187bo20bob2o$187bob2o14b4o2bo$185b2obobo14bo3b2o$154b2ob2o26bo2bo18b
2o$152bo2bob2o28b2o19bo$152b2o52bo$165b2o39b2o$157bo2bo4b2o$157b4o$
154bo$154b5o$158bo$156bo$156b2o7b2ob2o$161b2o2b2obo3b2o$161bo6bobo2bo$
162b7ob2o$169bo$164b4obo$164bo2b2o145$35b2o$36bo$33b3o$33bo17$35b2o$
36bo$33b3o$33bo!
#C [[ ZOOM 2 X -17 Y -25 STEP 20 ]]
That's a p74 drive gun, tested with a p223 prime-period glider pair gun. The closest spaced gliders are 110 ticks apart, which I believe is the minimum for p74. The first two gliders arriving at the regulator show the worst case, between T=576 and T=658; if those signals were 109 ticks apart the mechanism would fail.

The quadri-Snarks at the bottom are just to show that the regulator doesn't change the number of output gliders, it just aligns them (in this case) to p74N.

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » April 10th, 2020, 4:25 am

With some welding magic, got to shrink the bounding box by 1, now has a 5-function still life ^^'

Code: Select all

x = 455, y = 507, rule = LifeHistory
95$368.2A11.A$368.2A10.A.A$380.A.A2.2A3.A$379.2A.2A2.A2.A.A6.2A$383.A
.A3.A.A6.2A$379.2A.A2.4A.A$379.2A.A.A3.A$383.A.A3.A$384.A.A3.A$385.A
3.2A3$381.2A$376.2A2.3A2.2A$376.A2.A.A4.2A$361.2A14.A3.A.2A.A$360.A2.
A16.A3.2A$359.A.2A$359.A48.2A$358.2A48.2A$373.2A$373.A$363.2A9.3A$
362.A.A11.A10.2A$364.A21.A.A$386.A$385.2A12$370.2A$370.A$368.A.A21.A$
368.2A10.A11.A.A$380.3A9.2A$383.A$382.2A$347.2A48.2A$347.2A48.A$394.
2A.A$371.2A3.A16.A2.A$370.A.2A.A3.A14.2A$369.2A4.A.A2.A$351.A18.2A2.
3A2.2A$349.3A22.2A$348.A$347.A.A$347.A.A16.2A3.A$348.A17.A3.A.A$367.A
3.A.A$368.A3.A.A.2A$359.2A5.A.4A2.A.2A$359.A5.A.A3.A.A$332.2A26.3A2.A
.A2.A2.2A.2A$332.2A28.A3.A3.2A2.A.A$374.A.A10.2A$346.A28.A11.2A$345.A
$345.3A4.2A$352.A.A$354.A$345.2A7.2A$345.2A2$335.A.2A$333.3A.2A$332.A
$333.3A.2A$335.2A2.A$338.A.A$334.A.2A.A.A$334.2A.A2.A16.2A$337.A19.A$
337.2A16.A.A$335.2A2.A.A13.2A$334.A2.A2.2A$335.2A3$366.2A$359.2A6.A$
359.A6.A$357.A.A6.2A$357.2A$397.A$396.A.A$344.2A50.A.A$343.A.A51.A$
343.A25.2A$342.2A25.2A8$354.2A$350.A.A2.A$348.3A.3A$347.A3.A$347.2A2.
A.2A$352.A.A35$259.A$258.A.A$259.A2$257.5A$257.A4.A$260.A2.A$260.2A.A
2.A$257.A5.A.A.A$184.2A11.A28.A29.A.A4.A2.2A$184.2A10.A.A26.A.A4.2A
22.A2.A2.2A4.2A$196.A.A2.2A3.A18.A.A4.2A23.2A9.A$195.2A.2A2.A2.A.A12.
A3.2A.2A12.A24.A.A$199.A.A3.A.A10.3A3.A14.3A24.2A10.A$195.2A.A2.4A.A
10.A7.A.2A9.A39.3A$195.2A.A.A3.A12.2A4.A.A.2A9.2A41.A$199.A.A3.A17.2A
55.2A$200.A.A3.A88.2A$201.A3.2A88.A$234.2A56.2A.A$234.2A55.A2.A$292.
2A$192.2A83.2A$192.2A83.2A$177.2A$176.A2.A$175.A.2A$175.A$174.2A89.2A
3.A$189.2A66.2A6.A3.A.A$189.A67.A3.2A3.A3.A.A.2A$190.3A24.2A39.4A5.A
4.A.2A$192.A11.2A11.2A37.A.A4.A.A.5A$138.2A11.A53.A50.2A3.3A.2A5.3A.A
$138.2A10.A.A49.3A55.A3.A3.A2.A3.2A$150.A.A2.2A3.A3.A37.A11.A27.2A16.
2A2.A.2A.A2.2A11.2A$149.2A.2A2.A2.A.A2.3A45.3A21.2A4.A22.A.A.3A2.3A8.
2A$153.A.A3.A.A5.A43.A20.2A.A.A5.3A26.A3.A$149.2A.A2.4A.A5.2A42.A.A
19.A.2A.A.A5.A22.2A.A$149.2A.A.A3.A12.2A37.A.A25.2A29.A.2A$153.A.A3.A
12.2A37.A57.A$154.A.A3.A10.A89.2A4.3A$155.A3.2A100.2A3.A3.2A$266.4A2.
A$252.2A15.A.2A$142.2A10.A.2A37.2A54.A.A12.3A2.A$141.2A11.4A37.2A54.A
13.A5.A$142.2A10.A3.A9.2A80.2A14.5A$131.2A13.A8.3A10.2A98.A$130.A2.A
21.3A11.2A$129.A.2A22.A10.A3.2A43.2A$129.A36.A3.A.A5.2A35.A.A$128.2A
36.A3.A.A5.2A37.A$143.2A25.3A35.2A7.2A$143.A27.A.2A33.2A$144.3A18.A4.
A.A$146.A10.2A5.A.A31.A.2A$156.A.A37.3A.2A$156.A38.A$155.2A39.3A.2A$
198.2A2.A$150.A19.3A28.A.A$148.3A19.3A24.A.2A.A.A16.A$125.2A20.A20.2A
.A.A23.2A.A2.A15.3A$124.A.A7.2A11.2A11.A6.A3.2A27.A17.A$126.A7.2A24.
3A5.A.2A28.2A16.2A$119.A19.A5.A17.A5.2A27.2A2.A.A$120.2A15.A3.A2.2A
16.2A33.A2.A2.2A$119.3A15.A4.3A32.2A19.2A$114.2A20.A5.2A33.A45.A$114.
2A21.3A2.2A30.2A.A44.A.A$119.A17.2A34.A2.A21.2A22.A.A$118.A.A18.A34.
2A23.A21.2A.3A$118.A.A78.A.A25.A$119.A30.A.A47.2A19.2A.3A22.A$151.2A
6.A2.A58.2A.A24.3A$119.2A30.A9.2A89.A$119.2A36.6A88.2A$146.2A3.A5.A$
146.A3.A.A46.2A$133.2A12.A3.A.A3.A41.2A42.2A$132.A.A13.A3.A.A.A86.A$
132.A13.A.4A2.3A83.2A.A$131.2A12.A.A3.A.A2.A83.A2.3A4.2A$145.A.A2.A2.
2A.2A83.2A3.A3.2A$146.A3.2A2.A.A86.4A$154.A.A10.2A74.A15.2A$155.A11.
2A75.3A12.A.A$247.A13.A33.A2.2A$242.5A14.2A32.4A.A$223.2A17.A57.A$
223.A.A18.A48.7A.2A$225.A17.2A47.A6.A.A2.A$225.2A65.2A2.2A.A3.2A$287.
2A7.2A.2A$287.A$289.A$285.5A$285.A$288.4A$288.A2.A4.2A$296.2A$283.2A$
283.A2.A.2A$285.2A.2A4$285.A$283.3A13.2A$282.A16.A$282.2A16.3A$302.A
4$268.2A.2A$266.A2.A.2A$266.2A$279.2A$271.A2.A4.2A$271.4A$268.A$268.
5A$272.A$270.A$270.2A7.2A.2A56.2A$275.2A2.2A.A3.2A6.A2.2A42.A$275.A6.
A.A2.A6.4A.A39.A5.2A$276.7A.2A13.A39.2A5.A$283.A8.7A.2A44.A.2A$278.4A
.A7.A6.A.A2.A35.2A2.2A.A2.A$278.A2.2A8.2A2.2A.A3.2A35.2A3.A.2A$286.2A
7.2A.2A44.A$286.A56.2A$288.A61.2A$284.5A21.2A38.A.A$284.A26.A40.A$
287.4A18.A5.2A35.A.2A$287.A2.A4.2A12.2A5.A25.2A5.2A.A.A$295.2A19.A.2A
22.2A5.2A.A.A$282.2A25.2A2.2A.A2.A32.A.2A$282.A2.A.2A20.2A3.A.2A15.2A
14.4A2.A$284.2A.2A25.A17.A.A14.A3.2A$313.2A17.A18.2A$320.2A9.2A19.A$
285.A34.A.A27.A$283.3A36.A27.2A$282.A15.2A22.A.2A$282.2A14.A13.2A5.2A
.A.A$299.3A10.2A5.2A.A.A$301.A20.A.2A$301.A.2A14.4A2.A$299.2A.A.A14.A
3.2A$268.2A.2A26.A2.A18.2A$266.A2.A.2A28.2A19.A$266.2A52.A$279.2A39.
2A$271.A2.A4.2A$271.4A$268.A$268.5A$272.A$270.A$270.2A7.2A.2A$275.2A
2.2A.A3.2A$275.A6.A.A2.A$276.7A.2A$283.A$278.4A.A$278.A2.2A!
That being said, for compactness, if one can have a second copy of the regularizing clock, (or use another output from the p256 gun, for example) most parts of the track but the core reaction is redundant.

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dvgrn
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Re: Stable universal regulator

Post by dvgrn » April 10th, 2020, 5:17 am

Jormungant wrote:
April 10th, 2020, 4:25 am
... for compactness, if one can have a second copy of the regularizing clock, (or use another output from the p256 gun, for example) most parts of the track but the core reaction is redundant.
True enough. Here's a random sample of that idea, using another stream liberated from the p74 gun instead of a signal splitter inside the regulator:

Code: Select all

x = 268, y = 225, rule = LifeHistory
206.2A11.A$205.B2AB9.A.A$206.3B9.A.A2.2A3.A$205.B.B9.2A.2A2.A2.A.A6.
2A$205.5B8.B2.A.A3.A.A4.2B2AB$205.3BA2B6.2ABA2.4A.A5.4B$205.7BA4.2A.A
.A3.A7.6B$206.5BA2BA4B2.A.AB2.A7.5B$204.8BA2BAB5.A.A2B.A6.6B$203.9BA
2BA2B5.A2B.2A6.7B$203.10B3A2B4.3B10.6B$202.8BA8B.B.2B10.7B$202.7B2A
20B4.6B$201.8B2A21B2.7B$200.32B2.2B2A3B$199.2AB3.27B.2BA2BA3B$198.A2.
A4.36B$197.A.2A5.6B3.B2.2B2.12BA3BA3B4.B$197.A7.6B14.9BA3B2A4B.B2A$
196.2A6.9B14.7BA5BA5B2A$203.4B4.2A15.12B3A2B.B$202.4B5.A15.9BA3B2ABA$
201.4B7.3A12.10B2A2BABA$200.4B10.A10.2AB.3B3A9B$199.4B21.A.AB4.B2A9B$
198.4B22.A9.11B$197.4B22.2A8.13B$196.4B33.2BAB2A6B$195.4B35.A9B$194.
4B37.4B2A3B$193.4B38.A3B2A3B$193.4B38.B2AB2A3B$192.2B2AB39.B2A2B$189.
3B2AB2AB38.4B$189.3B2A3BA38.4B$189.3B2A4B37.4B$189.9BA35.4B$188.6B2AB
A2B33.4B$187.13B8.2A22.4B$188.11B9.A22.4B$189.9B2AB4.BA.A21.4B$189.9B
3A3B.B2A10.A10.4B$189.ABA2B2A10B12.3A7.4B$189.AB2A3BA9B15.A5.4B$186.B
.2B3A12B15.2A4.4B$185.2A5BA5BA7B14.9B6.2A$185.2AB.4B2A3BA9B14.6B7.A$
186.B4.3BA3BA12B2.2B2.B3.6B5.2A.A$191.36B4.A2.A$191.3BA2BA2B.27B3.B2A
$192.3B2A2B2.32B$189.A2.7B2.21B2A8B$187.3A2.6B4.20B2A7B$186.A5.3B2A2B
10.2B.B.8BA8B$185.A.A4.5BA10.3B4.2B3A10B$184.BA.A3.7B6.2A.2BA5.2BA2BA
9B$183.3BA5.2A3B7.A.2BA.A5.BA2BA8B$181.4B6.B3A2B8.A2.BA.A2.4BA2BA5B$
179.6B5.2B2A5B7.A3.A.A.2A4.A7B$178.7B4.5BAB.2A5.A.4A2.AB2A6.2BA3B$
171.B.4B.8B2.4B5.A5.A.A3.A.A2.B8.5B$170.2AB.17B7.3A2.A.A2.A2.2A.2A9.B
.B$170.2A18B10.A3.A3.2A2.A.A9.3B$171.2B.16B22.A.A9.B2AB$70.A11.2A90.
16B23.A11.2A$69.A.A9.B2AB90.15B$61.A3.2A2.A.A9.3B92.12B.B2A$60.A.A2.A
2.2A.2A9.B.B91.11B2.BA.A$46.2A12.A.A3.A.A2.B8.5B92.10B5.A$47.A13.A.4A
2.AB2A6.6B92.6B2A2B5.2A$47.A.2A12.A3.A.A.2A4.8B92.5BA2BA2B$48.A2B.A9.
A2.BA.A2.13B93.6BABAB$50.3BA7.A.2BA.A5.13B87.A.2AB.6B2A$50.A2BA7.2A.
2BA5.15B84.3AB2AB3.5BAB$50.2BA2B10.3B4.15B83.A4.B6.2A4B$40.2A7.6B11.
2B.B.17B83.3A.2A4.B2A3B$24.2A14.A8.BABA4B2.12B2A15B85.2A2.A4.2A3B$24.
2A11.BA.A7.2BA5B2A11B2AB2A15B87.A.A.3BAB2AB$31.3B.B.B2A9.4BABA13BA2BA
17B82.A.2A.A.A3B3A2B$24.4A3.7B12.BA5B.11BA2BA6B3A3B3.B2A81.2A.A.BA2B.
2BA3B7.2A$24.A3.A2.7B11.2BA18B2A7BA4B4.A2.A83.A2.2B2.7B6.A$26.BA2B.7B
11.19B2.2B2.B3.2BA3B5.2A.A82.2A.B3.7B3.BA.A$26.BABA10B8.3BABA11B14.6B
7.A80.2A2.A.A2.8B2.B2A$26.2B2A13B2.2B.BABA11B14.9B6.2A78.A2.A2.2A2.
11B$24.2A.20BA14B15.2A4.4B86.2A7.11B$24.A4.17BA6B.8B16.A4.4B95.11B$
22.A.A6.14B2A6B3.8B11.3A5.5B95.11B35.2B$22.2A7.15B2A5B5.B3.2A11.A6.BA
BA5B95.7B11.2A22.5B$30.17BA4B10.A19.A2B2A4B94.8B4.2A6.A21.7B$29.4B8.
4B.3B.B12.3A16.5BA3B93.8B5.A6.A21.8B$28.4B10.4B19.A15.9BA94.7B2.BA.A
6.2A20.9B$27.A3B12.4B33.BA9BA92.9B.B2A8.B20.6B2A2B$26.BABA14.BABA22.
2A8.2B2A7BAB91.13B8.3B19.4BA2BAB$25.2B2A16.B2AB22.A9.9BAB92.12B8.6B
16.6BABA2B$24.4B18.A3B21.A.AB4.11BA91.2AB.9B.B3.B2.10B11.7BA5B$9.A13.
4B20.4B10.A10.2AB.9BA2BA2B56.A33.A.AB2.16BA10B3.2B2.10BA2BA2B$9.3A10.
4B22.4B7.3A12.12B2A3B55.A.A32.A5.15BA27BA3BAB$12.A8.4B24.4B5.A15.17B
56.A32.2A5.5BABABA4BA2B2A25BABA2B$11.2A7.4B26.4B4.2A15.BA15B.B93.5BA
3BA5BA2BA26BAB$11.5B3.4B20.2A6.9B14.2B2A15B2A50.5A36.6BA11BA29B$13.3B
2.4B22.A7.6B14.2B2A2BA12B.B2A50.A4.A34.45B2.B$3.2A7.2A7B23.A.2A5.6B3.
B2.2B2.3BA4B2A3BA6B4.B53.BAB.A32.4B2.5B2.3B5.13B.4B$3.A8.3BA4B25.A2.A
4.19B3A7BABA4B58.B2A.A2.A28.4B3.7B.2B5.7B.B4.4B$2A.A.A3.BA5BA2B27.2AB
3.20B2A5B.4BA4B56.A4B.A.A.A26.4B6.4B21.4B$A2.3AB.BA9B28.2BABA2BABA22B
2.7B26.A29.ABAB3.A2.2A25.4B6.3B22.A3B$.2A2.B2AB2A2B2A2BAB29.BA3BA2BA
22B2.7B25.A.A4.2A22.A2BA2.2A4.2A22.4B5.3B2AB20.A3B$3.2A4BA6BA2B30.ABA
BA3B2A19B4.6B25.A.A3.B2AB17.5B2A9.A22.4B5.A.A2.A20.B3A$3.A.BA3.3A4B.B
2A28.4BAB3A8B.B.2B10.7B24.2A.2A2.3B7.A10.5B8.BA.A21.4B4.3A.3A20.4B$4.
3AB2.BA5B.BA.A28.2B2A5B2A4B4.3B10.6B24.A2.B3.2B6.3A9.7B3.3B.B2A10.A
10.ABAB4.A3.A22.4B$7.A4.4B5.A28.3B2A4B2A4B5.A2B.2A6.7B24.AB2AB.3B4.A
11.16B12.3A7.B2AB5.2A2.A.2A18.4B$2.5A5.3AB5.2A28.6BAB2A3B5.A.A2B.A7.
5B23.A.A.2A5B4.2A10.16B15.A5.3BA11.A.A17.4B$2.A10.BA2B36.BA2B3A6B2.A.
AB2.A8.6B22.2A4.7B.3B10.15B15.2A4.4B31.4B$4.A9.4B34.2B2AB3A4.2A.A.A3.
A7.9B28.8B13.15B14.9B6.2A23.4B$3.2A10.4B33.2BA2BA6.2ABA2.4A.A5.2A.7B
26.10B12.17B14.6B7.A23.4B$16.4B32.3BAB8.B2.A.A3.A.A5.A5.4B25.5B2A2B3.
3B6.21B2.2B2.B3.6B5.2A.A22.4B$17.4B31.B.B9.2A.2A2.A2.A.A2.3A7.4B23.6B
2A2B2.5B2.22B2A3BA12B4.A2.A22.4B$18.4B31.3B9.A.A2.2A3.A3.A10.3BA22.9B
.9B2A11B.7BAB2ABA3BA10B3.B2A22.4B$19.4B29.B2AB9.A.A23.ABAB10.A10.8B.
10BABA9B2.6B2A4BABA2BA14B8.A13.4B$20.4B29.2A11.A25.2A2B7.3A11.5BA13BA
10B2.7B2A2B3A2B2A13B9.3A10.4B$21.4B68.4B5.A14.3B3A23B4.10B2A17B13.A8.
4B$22.4B68.4B4.2A14.BA4BA12B4.5B11.4B.17B12.2A7.4B$23.4B60.2A6.9B14.A
3B4A9B6.5B12.2B3.15B13.5B3.4B$24.4B60.A7.6B14.6B2AB2A7B7.4B12.3B3.15B
15.3B2.4B$25.4B59.A.2A5.6B3.B2.2B2.6BA5BA8B8.5B6.2A.2BA5.13B6.2A7.9B$
26.4B59.A2.A4.23BA2B2A10B10.2A6.A.2BA.A2.13B8.A8.8B$27.4B59.2AB3.19BA
5BAB.7B.4B9.A3.2A3.A2.BA.A.2A4.8B4.2A.A.B3.BA8B$28.4B59.24BABA5B.7B2.
4B9.4A5.A4.AB2A6.6B4.A2.2A2B.3BA7B$29.3BA59.8BA14B2A6B.7B3.4B6.A.A4.A
.A.5A2.B8.5B5.2A2.2A3B2A7B$30.ABAB59.7B2A20B3.5B5.4B5.2A3.3A.2A5.3A.A
8.B.B7.AB2A12B$31.2A2B58.8BA8B.4B10.7B4.4B8.A3.A3.A2.A3.2A7.3B8.A.2B
3.7B.B2A$32.4B58.6BA3B2A3B3.2B10.2B4.2A5.3BA7.2A2.A.2A.A2.2A10.B2AB8.
3AB2.7B.BA.A$33.4B57.11B2A2B3.3B9.2AB3.A7.3BA11.A.A.3A2.3A8.2A12.A4.
4B5.A$34.4B57.8B3A2B5.A2B.2A.A2.A.A5.3A5.3AB17.A3.A17.5A5.BABA5.2A$
35.4B58.A4BABA5B2.A.A2B.A.4A.A.A5.A6.4B15.A22.A10.B2AB$36.4B56.A3BA2B
A4.2A.A.AB2.A8.A.A12.4B14.2A23.A9.A3B$37.4B55.6B6.2ABA4.A5.4A2.A13.4B
23.2A12.2A10.4B$38.4B54.2BABA8.B2.5A.A3.A2.A.A15.4B22.A.A24.4B$39.4B
53.B.B5.2A.A.2A.A4.A.A6.A17.4B23.A4.2A19.4B$40.4B53.3B4.A.2A.A2.A.2A
2.A26.4B18.4A.2A2.A2.A18.4B$41.4B51.BA2B11.2A.A.2A28.4B17.A2.A.A.A.A.
2A19.4B$42.4B51.2A48.4B18.BABABA.A23.4B$43.4B101.4B18.B2ABA.A24.4B$
44.4B101.4B18.2B.BA26.4B$45.4B101.4B16.3B30.4B$46.4B101.4B6.2A6.4B31.
4B$47.3BA101.4B6.A6.B2A3B30.4B$48.3BA101.4B5.A.AB3.B2A3B31.4B$49.3AB
101.4B5.2AB.10B30.4B$50.4B101.4B6.13B30.4B$51.4B101.4B5.13BA30.4B$52.
4B101.4B4.11BABAB30.4B$53.4B101.4B5.8B2.2A2B30.4B$54.4B101.4B4.6B5.4B
30.4B$55.4B101.15B4.4B30.4B$56.4B100.9B4.2A5.4B30.4B$57.4B98.4B.4B5.A
7.4B30.4B$58.4B98.7B7.3A5.4B30.4B$59.4B99.4B10.A6.4B30.4B$60.4B97.5B
18.4B30.4B$61.4B95.4B21.4B30.2BAB$62.4B93.3AB23.4B30.2B2A$63.4B91.3BA
25.4B30.2A2B$64.4B89.3BA27.4B30.4B$65.4B87.4B29.4B30.4B$66.3BA85.4B
31.4B30.4B$67.ABAB83.4B33.4B30.4B$68.2A2B81.4B35.4B30.4B$69.4B79.4B
37.4B30.4B$70.4B77.4B39.4B30.4B$71.4B75.4B41.4B30.4B$72.4B73.4B43.4B
30.4B$73.4B71.4B45.4B30.4B$74.4B69.4B47.4B30.4B$75.4B67.4B49.4B30.4B$
76.4B65.4B51.4B30.4B$77.4B63.4B53.4B30.4B$78.4B61.4B55.4B30.4B$79.4B
59.4B57.4B30.4B$80.4B57.2A2B59.4B30.4B$81.4B55.ABAB61.4B30.4B$82.4B
53.3BA63.4B30.4B$83.4B51.4B65.4B30.4B$84.3BA49.4B67.4B30.4B$85.3BA47.
4B69.4B30.4B$86.3AB45.4B71.4B30.4B$87.4B43.4B73.4B30.4B$88.4B41.4B75.
3BA30.4B$89.4B39.4B77.ABAB30.3BA$90.4B37.4B79.2A2B30.3BA$91.4B35.4B
81.4B30.3AB$92.4B33.4B83.4B30.4B$93.4B31.4B85.4B30.4B$94.4B29.4B87.4B
30.4B$95.4B27.4B89.4B30.4B$96.4B25.4B91.4B30.4B$97.4B23.4B93.4B30.4B$
98.4B21.4B95.4B30.4B$99.4B19.3AB97.4B30.4B$100.4B10.A6.3BA99.4B30.4B$
101.4B7.3A5.3BA101.4B30.4B$102.4B5.A7.4B103.4B30.4B$103.3BA4.2A5.4B
105.4B30.3B$104.ABA6B4.4B107.4B31.B2A$105.2A4B5.4B109.4B30.BA.A$105.
8B2.4B111.3BA32.A$103.15B113.3BA31.2A$103.14B115.3AB$103.13B117.4B$
101.2AB.10B119.4B$100.A.AB3.B2A3B122.4B$100.A6.B2A3B123.4B$99.2A6.4B
126.4B$108.3B127.4B$109.2B.BA125.4B$108.B2ABA.A125.4B$107.BABABA.A
126.4B$105.A2.A.A.A.A.2A124.4B$105.4A.2A2.A2.A125.4B$109.A4.2A128.4B$
107.A.A135.4B$107.2A137.3B$248.B2A$248.BA.A$251.A$251.2A!

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » May 14th, 2020, 10:27 am

Here is a corollary of the newer universal regulator, the universal AND gate (or universal waiter). Basically waits for 2 gliders and outputs one, without any assumption on who comes first and at what time:

Code: Select all

x = 344, y = 248, rule = LifeHistory
17$242.2A$242.A.A$244.A4.2A$240.4A.2A2.A2.A$240.A2.A.A.A.A.2A$242.BAB
ABA.A$243.B2ABA.A$244.2B.BA$243.3B$234.2A6.4B$235.A6.B2A3B$235.A.AB3.
B2A3B$236.2AB.10B$238.13B$238.14B$238.15B$240.8B2.4B$240.6B5.3B$239.
9B4.2B$238.4B4.2A5.B$237.4B5.A$236.4B7.3A$236.3B10.A$236.2B$236.B48$
116.A$115.A.A40.AB$116.A40.A2B165.A$156.B3A163.3A$114.5A36.4B151.4B8.
A$114.A4.A34.4B153.4B7.2A$116.BAB.A32.4B155.4B3.5B$116.B2A.A2.A28.4B
157.4B2.3B$114.A4B.A.A.A26.4B159.9B7.2A$83.A29.ABAB3.A2.2A25.4B161.8B
8.A$82.A.A4.2A22.A2BA2.2A4.2A22.4B163.10B3.B.A.2A$82.A.A3.B2AB17.5B2A
9.A22.4B164.7B2A2B.B3A2.A$81.2A.2A2.3B7.A10.5B8.BA.A21.4B165.7B2A3BAB
2.2A$81.A2.B3.2B6.3A9.7B3.3B.B2A10.A10.4B166.12B4A$82.AB2AB.3B4.A11.
16B12.3A7.4B165.2AB.7B3.2B.A$80.A.A.2A5B4.2A10.16B15.A5.4B165.A.AB.7B
2.B3A$80.2A4.7B.3B10.15B15.2A4.4B166.A5.4B4.A$87.8B13.15B14.9B6.2A
158.2A5.4B5.5A$86.10B12.17B14.6B7.A122.A42.4B10.A$86.5B2A2B3.3B6.21B
2.2B2.B3.6B5.2A.A121.A.A40.4B9.A$85.6B2A2B2.5B2.20BD19B4.A2.A123.A40.
4B10.2A$85.9B.9B2D11B.4BDBD20B3.B2A164.4B$70.2A13.8B.10BDBD9B2.4B3D9B
2C14B123.5A$69.B2AB13.19BD10B2.4BD11B2C13B124.A4.A$70.2B14.29B4.29B
127.BAB.A$65.B3.2B16.19B4.5B11.4B.17B127.B2A.A2.A$64.2AB.4B15.17B6.5B
12.2B3.15B126.A4B.A.A.A$64.2A8B11.18B7.4B12.3B3.15B11.B83.A29.ABAB3.A
2.2A$65.B.B2A6B2.2B2.21B8.5B6.2A.2BA5.13B11.2B82.A.A4.2A22.A2BA2.2A4.
2A22.4B$68.2A15BD18B10.2A6.A.2BA.A2.13B12.3B82.A.A3.B2AB17.5B2A9.A22.
4B$68.17BDBD4B.7B.4B9.A8.A2.BA.A.2A4.8B10.4B81.2A.2A2.3B7.A10.5B8.BA.
A21.4B$64.21B3D4B.7B2.4B9.3A6.A4.AB2A6.6B9.4B82.A2.B3.2B6.3A9.7B3.3B.
B2A10.A10.4B$64.23BD4B.7B3.4B10.A4.A.5A2.B8.5B8.4B84.AB2AB.3B4.A11.
16B12.3A7.4B$63.2A26B3.5B5.4B14.2A5.3A.A8.B.B7.4B83.A.A.2A5B4.2A10.
16B15.A5.4B$63.2A14B.4B10.7B4.4B16.2A.A3.2A7.3B7.4B84.2A4.7B.3B10.15B
15.2A4.4B$64.B.11B2.4B10.2B4.2A5.4B10.4A.A3.2A10.B2AB5.4B92.8B13.15B
14.9B6.2A$66.10B2.4B11.2AB3.A7.4B8.A3.A.A.2A2.3A8.2A5.4B92.10B12.17B
14.6B7.A$67.14B8.2A.A.A5.3A5.4B7.2A5.A2.A3.A111.5B2A2B3.3B6.21B2.2B2.
B3.6B5.2A.A$66.14B9.A.2A.A.A5.A6.4B3.5B6.2A115.6B2A2B2.5B2.20BD19B4.A
2.A$67.13B7.2A6.2A13.4B2.3B125.9B.9B2D11B.4BDBD20B3.B2A$67.13B2.2A2.A
24.9B7.2A16.B83.2A13.8B.10BDBD9B2.4B3D9B2C14B$69.2B.4B3DB2.A.A2.A.A
22.8B8.A15.2B82.B2AB13.19BD10B2.4BD11B2C13B$72.5BD2B3.B.2A.2A23.10B3.
B.A.2A11.3B83.2B14.29B4.29B$71.4B3D2B2.2B2.A26.7B2A2B.B3A2.A10.4B78.B
3.2B16.19B4.5B11.4B.17B$70.10B.2BAB.A.2A23.7B2A3BAB2.2A10.4B78.2AB.4B
15.17B6.5B12.2B3.15B$69.4B.8BA.A.2A.A23.12B4A11.4B79.2A8B11.18B7.4B
12.3B3.15B11.B$68.4B2.8B.A.A25.2AB.7B3.2B.A10.4B81.B.B2A6B2.2B2.21B8.
5B6.2A.2BA5.13B11.2B$67.4B4.5B4.A2.2A21.A.AB.7B2.B3A10.4B85.2A15BD18B
10.2A6.A.2BA.A2.13B12.3B$66.4B5.6B4.2A.3A19.A5.4B4.A12.4B86.17BDBD4B.
7B.4B9.A8.A2.BA.A.2A4.8B10.4B$65.4B5.6B6.B4.A17.2A5.4B5.5A6.4B83.21B
3D4B.7B2.4B9.3A6.A4.AB2A6.6B9.4B$64.4B6.7B3.B2AB3A24.4B10.A5.4B84.23B
D4B.7B3.4B10.A4.A.5A2.B8.5B8.4B$63.4B8.8B.B2A.A25.4B9.A6.4B84.2A26B3.
5B5.4B14.2A5.3A.A8.B.B7.4B$62.4B9.10B28.4B10.2A4.4B85.2A14B.4B10.7B4.
4B16.2A.A3.2A7.3B7.4B$61.4B9.3B2A6B27.4B16.4B87.B.11B2.4B10.2B4.2A5.
4B10.4A.A3.2A10.B2AB5.4B$60.4B4.2A5.2B2A6B26.4B16.4B90.10B2.4B11.2AB
3.A7.4B8.A3.A.A.2A2.3A8.2A5.4B$59.4B6.A5.10B25.4B16.4B92.14B8.2A.A.A
5.3A5.4B7.2A5.A2.A3.A14.4B$58.4B7.A.AB2.11B23.4B16.4B92.14B9.A.2A.A.A
5.A6.4B3.5B6.2A18.4B$57.4B9.2AB.12B22.4B16.4B94.13B7.2A6.2A13.4B2.3B
27.4B$56.4B12.15B20.4B16.4B95.13B2.2A2.A24.9B7.2A16.4B$55.4B13.16B18.
4B16.4B98.2B.4B3DB2.A.A2.A.A22.8B8.A15.4B$54.4B14.16B.2B14.4B16.4B
102.5BD2B3.B.2A.2A23.10B3.B.A.2A11.4B$53.4B15.18B2A12.4B16.4B102.4B3D
2B2.2B2.A26.7B2A2B.B3A2.A10.4B$52.4B4.A10.17B.B2A11.4B16.4B102.10B.2B
AB.A.2A23.7B2A3BAB2.2A10.4B$51.4B3.3A9.4B2.8B.4B.B11.4B16.4B102.4B.8B
A.A.2A.A23.12B4A11.4B$50.4B3.A11.4B4.7B17.4B16.4B102.4B2.8B.A.A25.2AB
.7B3.2B.A10.4B$49.4B4.2A9.4B5.6B17.4B16.4B102.4B4.5B4.A2.2A21.A.AB.7B
2.B3A10.4B$48.4B3.4B8.4B6.4B18.4B16.4B102.4B5.6B4.2A.3A19.A5.4B4.A12.
4B$47.4B3.2AB9.4B5.A3B19.4B16.4B102.4B5.6B6.B4.A17.2A5.4B5.5A6.4B$32.
A13.4B4.A.AB7.4B5.A.AB19.4B16.4B102.4B6.7B3.B2AB3A24.4B10.A5.4B$32.3A
10.4B6.2AB6.4B4.3A.A19.4B16.4B102.4B8.8B.B2A.A25.4B9.A6.4B$35.A8.4B7.
3B5.4B4.A3.A19.4B16.4B102.4B9.10B28.4B10.2A4.4B$34.2A7.4B9.4B2.4B5.A.
2A19.4B16.4B102.4B9.3B2A6B27.4B16.4B$34.5B3.4B10.9B3.BA.A.A19.4B16.4B
102.4B4.2A5.2B2A6B26.4B16.4B$36.3B2.4B6.3B.12B.B2A4.A5.A10.4B16.4B
102.4B6.A5.10B25.4B16.4B$26.2A7.9B7.2A16B5.2A5.3A7.4B16.4B102.4B7.A.A
B2.11B23.4B16.4B$26.A8.8B7.ABA16B15.A5.4B16.4B102.4B9.2AB.12B22.4B16.
4B$23.2A.A.B3.10B8.BA16B15.2A4.4B16.4B102.4B12.15B20.4B16.4B$23.A2.3A
B.2B2A7B2.2A4.19B14.9B6.2A8.4B102.4B13.16B18.4B16.4B$24.2A2.BA3B2A7B
3.A2.2AB2.18B14.6B7.A8.4B102.4B14.16B.2B14.4B16.4B$26.4A12B3.A.A.AB3.
20B2.2B2.B3.6B5.2A.A7.4B102.4B15.18B2A12.4B16.4B$26.A.2B3.7B.B2A.A.A
5.17BD19B4.A2.A7.4B102.4B4.A10.17B.B2A11.4B16.4B$27.3AB2.7B.BA.A2.A4.
11B.4BDBD20B3.B2A7.4B102.4B3.3A9.4B2.8B.4B.B11.4B16.4B$30.A4.4B5.A.A
4.4B.6B2.4B3D9B2A14B7.4B102.4B3.A11.4B4.7B17.4B16.4B$25.5A5.4B5.2A4.
4B2.5B3.4BD11B2A13B7.4B102.4B4.2A9.4B5.6B17.4B16.4B$25.A10.4B9.4B4.3B
5.29B7.4B102.4B3.4B8.4B6.4B18.4B16.4B$27.A9.4B7.4B3.7B10.2B.B.17B6.4B
102.4B3.2AB9.4B5.A3B19.4B16.4B$26.2A10.4B5.4B4.2A.B.2A9.3B4.15B6.4B
88.A13.4B4.A.AB7.4B5.A.AB19.4B16.4B$39.4B3.4B6.A3.A6.2A.2BA5.15B5.4B
89.3A10.4B6.2AB6.4B4.3A.A19.4B16.4B$40.4B.4B4.3A5.3A3.A.2BA.A5.13B5.
4B93.A8.4B7.3B5.4B4.A3.A19.4B16.4B$41.7B5.A9.A4.A2.BA.A2.13B6.4B93.2A
7.4B9.4B2.4B5.A.2A19.4B16.4B$42.5B22.A3.A.A.2A4.9B3.4B94.5B3.4B10.9B
3.BA.A.A19.4B16.4B$42.5B20.A.4A2.AB2A5.8B2.4B97.3B2.4B6.3B.12B.B2A4.A
5.A10.4B16.4B$41.7B18.A.A3.A.A2.B7.6B2.4B88.2A7.9B7.2A16B5.2A5.3A7.4B
16.4B$40.4B.4B17.A.A2.A2.2A.2A7.5B.4B89.A8.8B7.ABA16B15.A5.4B16.4B$
39.4B3.4B17.A3.2A2.A.A8.9B87.2A.A.B3.10B8.BA16B15.2A4.4B16.4B$38.4B5.
4B24.A.A9.7B88.A2.3AB.2B2A7B2.2A4.19B14.9B6.2A8.4B$37.4B7.4B24.A11.5B
90.2A2.BA3B2A7B3.A2.2AB2.18B14.6B7.A8.4B$36.4B9.4B34.5B93.4A12B3.A.A.
AB3.20B2.2B2.B3.6B5.2A.A7.4B$35.4B11.4B33.4B94.A.2B3.7B.B2A.A.A5.17BD
19B4.A2.A7.4B$34.4B13.4B31.4B96.3AB2.7B.BA.A2.A4.11B.4BDBD20B3.B2A7.
4B$33.4B15.4B29.4B100.A4.4B5.A.A4.4B.6B2.4B3D9B2A14B7.4B$32.4B17.4B
27.4B96.5A5.4B5.2A4.4B2.5B3.4BD11B2A13B7.4B$31.4B19.4B25.4B97.A10.4B
9.4B4.3B5.29B7.4B$30.4B21.4B23.4B100.A9.4B7.4B3.7B10.2B.B.17B6.4B$29.
4B23.4B21.4B100.2A10.4B5.4B4.2A.B.2A9.3B4.15B6.4B$28.4B25.4B19.4B114.
4B3.4B6.A3.A6.2A.2BA5.15B5.4B$27.4B27.4B10.A6.4B116.4B.4B4.3A5.3A3.A.
2BA.A5.13B5.4B$26.2A2B29.4B7.3A5.4B118.7B5.A9.A4.A2.BA.A2.13B6.4B$25.
ABAB31.4B5.A7.4B120.5B22.A3.A.A.2A4.9B3.4B$24.3BA33.4B4.2A5.4B121.5B
20.A.4A2.AB2A5.8B2.4B$24.3B35.9B4.4B121.7B18.A.A3.A.A2.B7.6B2.4B$63.
6B5.4B121.4B.4B17.A.A2.A2.2A.2A7.5B.4B$63.8B2.4B121.4B3.4B17.A3.2A2.A
.A8.9B$61.15B121.4B5.4B24.A.A9.7B$61.14B121.4B7.4B24.A11.5B$61.13B
121.4B9.4B34.5B$59.2AB.10B121.4B11.4B33.4B$58.A.AB3.B2A3B122.4B13.4B
31.4B$58.A6.B2A3B121.4B15.4B29.4B$57.2A6.4B122.4B17.4B27.4B$66.3B121.
4B19.4B25.4B$67.2B.BA117.4B21.4B23.4B$66.B2ABA.A115.4B23.4B21.4B$65.B
ABABA.A114.4B25.4B19.4B$63.A2.A.A.A.A.2A110.4B27.4B10.A6.4B$63.4A.2A
2.A2.A109.2A2B29.4B7.3A5.4B$67.A4.2A110.ABAB31.4B5.A7.4B$65.A.A115.3B
A33.4B4.2A5.4B$65.2A116.3B35.9B4.4B$222.6B5.4B$222.8B2.4B$220.15B$
220.14B$220.13B$218.2AB.10B$217.A.AB3.B2A3B$217.A6.B2A3B$216.2A6.4B$
225.3B$226.2B.BA$225.B2ABA.A$224.BABABA.A$222.A2.A.A.A.A.2A$222.4A.2A
2.A2.A$226.A4.2A$224.A.A$224.2A!
The only assumption is that only 1 glider is inbound in both channels. What if the that number of inbound glider was unknown for each of the two input channel (like some kind of OR gate with merged inputs)? We would need to make a pattern that allows only 1 glider to pass, and then reset the mecanism to allow one glider to pass later. Well, that's not an issue, just add 2 universal regulator at the entrance of each channels! The original pattern I posted never required the "clock" to be regular:

Code: Select all

x = 336, y = 318, rule = LifeHistory
267.4B3.B.9B.B3.4B$267.4B.17B.4B$266.2A9B2A14B2A$266.2A8B2A15B2A$267.
B.8B5A10B.B$269.9B4A10B$266.3B.B.3B$266.12B4A10B$264.13B5A10B.B$264.
12B2A15B2A$264.13B2A14B2A$241.4B3.B.9B.B3.6B2A17B.4B$241.4B.B2A2BABA
9B.11B.9B.B3.4B$240.2A4B3ABA3BA12B.6B$240.2A3B2A6BA20B$241.B.3BAB5A
20B$243.4B3A16B.3BABA$268.3B2AB$243.4B3A16B5.A3B$241.B.3BAB5A13B.B4.
4B$240.2A3B2A6BA13B2A4.4B$240.2A4B3ABA3BA12B2A5.4B$241.4B.B2A2BABA9B.
4B7.4B7.A$241.4B3.B.9B.B3.4B8.4B6.3A$277.4B8.A$278.4B6.A.A$279.4B5.A.
AB$280.4B5.A3B$281.4B6.4B$282.4B5.6B$283.4B4.7B$284.4B2.8B.4B.B$285.
7BA9B.B2A$286.5BABA10B2A$286.4BA3BA7B.2B$286.4BA3BA7B$286.4B2AB2A6B$
284.2AB.12B$283.A.AB2.11B$283.A5.10B$282.2A5.10B$288.11B$289.10B$256.
A11.2A19.8B.B2A.A$255.A.A9.B2AB17.7B3.B2AB3A$247.A3.2A2.A.A9.3B18.6B
6.B4.A$243.A2.A.A2.A2.2A.2A9.B.B18.6B4.2A.3A$234.2A5.3A2.A.A3.A.A2.B
8.A4B18.5B4.A2.2A$233.B2AB3.A6.A.4A2.AB2A6.ABA3B17.8B.A.A$234.2B4.2A
7.A3.A.A.2A4.2BAB2A2B17.8BA.A.2A.A$235.7B6.A2.BA.A2.11BAB9.2A7.BA4B.
2BAB.A.2A$234.6B7.A.2BA.A5.3B3A3B3AB8.A6.2BA4B2.2B2.A$233.8B6.2A.2BA
5.7BA2BA4B7.A.AB3.3BA3B3.B.2A$232.9B10.3B4.4B2AB2A6B8.2AB2.2B2A4B2.A.
A2.2A$230.12B10.2B.B.7B2AB2A5B9.3B4A4B2.2A2.A2.A$229.12B4.6B3A14BA2BA
2B9.2BA2BA5B7.2A$230.12B2.9BA12B2A4B2AB8.2BA2BA5B$230.11BA2.8BA15BA2B
A4B6.4B3A4B$229.12BAB.27B3.B2A6.7B.2B$228.11BA30B4.A2.A5.11B$227.4B2.
5B3A3BA9B2.2B2.B3.6B5.2A.A5.10B$226.4B4.3BA3BAB2A6B14.6B7.A5.12B$225.
5B3.5B5A6B14.9B6.2A5.13B$224.6B3.6B3A6B15.2A4.4B9.17B$223.8B.15B2A15.
A5.4B7.18B$222.2B2ABA3B2.8B.3B4A12.3A7.4B5.2B2A13B.B2A$221.4B3A4B2.6B
4.B2A.3A10.A10.4B5.B2A6B.4B3.BA.A$220.6BA5B3.4B9.BA.A21.4B3.8B4.B8.A$
219.4B.8B3.6B10.A22.4B2.6B15.2A$218.4B3.7B4.B.B2A.A8.2A22.4B.7B$217.
4B2.5B.4B5.B2AB3A31.4B.6B$216.4B3.2A5.4B6.B4.A31.9B12.2A$215.4B5.A6.
4B4.2A.3A33.8B12.A2.2A$214.4B3.3A8.4B4.A.A36.B3A4B12.2A.3A$213.4B4.A
11.4B3.A.A37.A6B13.B4.A$212.4B18.4B3.A39.A5B12.2AB3A$212.3B20.4B42.7B
4.3B4.2A.A$212.2B22.4B41.7B2.7B.3B$212.B7.B16.4B40.9B2A8B$238.4B39.9B
ABA11B$239.4B33.2A3.10BAB2A8B2A$240.4B33.A3.11B3A6B.B2A$241.4B31.A5.
4BABA3B2ABA3B4.B$242.4B30.2A7.BABA6BA3B$243.4B31.AB2.5B2A3B.BA3B$244.
4B28.3A14B.5B$245.4B26.A2.B.6BA7B2.B.B2A$246.4B25.2A3.4BA4BA4B4.BA.A$
225.B21.B3A29.5BA2BA6B6.A$224.2B22.A3B28.6B3A7B5.2A$223.3B23.A3B25.2A
B.14B$222.4B24.4B23.A.AB4.11B$221.4B26.4B22.A6.11B$220.4B28.4B20.2A5.
11B$220.3B30.4B25.4B2.6B$220.2B32.4B23.4B4.6B$220.B34.4B21.4B5.6B$
256.4B19.4B7.5B$257.4B6.A10.4B7.7B2.3B$258.4B5.3A7.4B9.12B$259.4B7.A
5.4B10.14B$143.A116.4B5.2A4.4B8.17B$142.A.A116.4B4.9B8.18B$143.A118.
4B5.6B9.18B$263.4B2.8B4.2A3.18B2A$141.5A118.7BA7B2.A2.2AB.14B.A2BA2.
2A$141.A4.A118.5B3A6B3.2A.AB4.10B2.ABAB3.A2.A$143.BAB.A118.4B2A7B4.A
9.8B3.A4B.A.A.A$143.B2A.A2.A28.B87.10B.B2A2.A10.7B5.B2A.A2.A$141.A4B.
A.A.A26.2B9.2A78.3B2AB3.BA.A.2A6.11B4.BAB.A$110.A29.ABAB3.A2.2A25.3B
9.A.A77.3B2AB6.A2.A5.12B2.A4.A$109.A.A4.2A22.A2BA2.2A4.2A22.4B11.A4.
2A73.4B6.2A7.12B2.5A$109.A.A3.B2AB17.5B2A9.A22.4B8.4A.2A2.A2.A71.3B5.
2A9.11B$108.2A.2A2.3B7.A10.5B8.BA.A21.4B9.A2.A.A.A.A.2A68.AB.2B5.A2.
2A2.2A3.8B.4B3.A$108.A2.B3.2B6.3A9.7B3.3B.B2A10.A10.4B12.BABABA.A70.A
.AB2AB5.A.A2.A.A3.7B4.2A2.A.A$109.AB2AB.3B4.A11.16B12.3A7.4B5.2A7.B2A
BA.A70.A.ABABAB3.2A2.2A.B4.7B4.A3.2A$107.A.A.2A5B4.2A10.16B15.A5.4B6.
2A8.2B.BA68.2A.A.A.A.A2.A3.A.A2.2B3.6B6.3A$107.2A4.7B.3B10.15B15.2A4.
4B16.3B71.A2.A2.2A.4A.2A2.A.BA2B.7B8.A$114.8B13.15B14.9B6.4A6.4B73.2A
4.A5.A3.A.A.A9B$113.10B12.17B14.6B7.A2.A6.B2A3B77.A.3A.A.A.A2.A.8B$
113.5B2A2B3.3B6.21B2.2B2.B3.6B5.2A.A2.A.AB3.B2A3B78.A3.A.A.A.2A4.6B$
112.6B2A2B2.5B2.20BD19B4.A2.A4.2AB.10B77.3A2.A.A.B6.6B$112.9B.9B2D11B
.4BDBD20B3.B2A7.13B78.A.A2.AB2AB3.7B$97.2A13.8B.10BDBD9B2.4B3D9B2C14B
8.14B79.A.A2.2AB.8B$96.B2AB13.19BD10B2.4BD11B2C13B9.15B7.A69.2A.2A3.
10B$97.2B14.29B4.29B12.8B2.4B6.3A75.6B2A3B$92.B3.2B16.19B4.5B11.4B.
17B12.6B5.4B8.A74.6B2A2B5.2A$91.2AB.4B15.17B6.5B12.2B3.15B12.9B4.4B6.
A.A73.10B5.A$91.2A8B11.18B7.4B12.3B3.15B11.4B4.2A5.4B5.A.AB71.11B2.BA
.A$92.B.B2A6B2.2B2.21B8.5B6.2A.2BA5.13B11.4B5.A7.4B5.A3B70.12B.B2A$
95.2A15BD18B10.2A6.A.2BA.A2.13B12.4B7.3A5.4B6.4B67.15B$95.17BDBD4B.7B
.4B9.A8.A2.BA.A.2A4.8B10.4B10.A6.4B5.6B64.16B$91.21B3D4B.7B2.4B9.3A6.
A4.AB2A6.6B9.4B19.4B4.7B60.2B.16B$91.23BD4B.7B3.4B10.A4.A.5A2.B8.5B8.
4B21.4B2.8B.4B.B52.2A18B$90.2A26B3.5B5.4B14.2A5.3A.A8.B.B7.4B23.17B.B
2A51.2AB.17B$90.2A14B.4B10.7B4.4B16.2A.A3.2A7.3B7.4B25.18B2A52.B.4B.
8B2.4B$91.B.11B2.4B10.2B4.2A5.4B10.4A.A3.2A10.B2AB5.4B26.16B.2B60.7B
4.4B$93.10B2.4B11.2AB3.A7.4B8.A3.A.A.2A2.3A8.2A5.4B27.16B64.6B5.4B$
94.14B8.2A.A.A5.3A5.4B7.2A5.A2.A3.A14.4B28.15B25.4B38.4B6.4B$93.14B9.
A.2A.A.A5.A13.5B6.2A18.4B27.2AB.12B25.4B41.3BA5.4B$94.13B7.2A6.2A19.
3B27.4B27.A.AB2.11B25.3B43.BA.A5.4B$94.13B2.2A2.A28.5B7.2A16.4B28.A5.
10B26.2B45.A.A6.4B$96.2B.4B3DB2.A.A2.A.A25.5B8.A15.4B20.4B4.2A5.2B2A
6B26.B47.A8.4B$99.5BD2B3.B.2A.2A23.10B3.B.A.2A11.4B22.3B10.3B2A6B35.
2A38.3A6.4B$98.4B3D2B2.2B2.A26.7B2A2B.B3A2.A10.4B24.2B11.10B35.A.A39.
A7.4B$97.10B.2BAB.A.2A23.7B2A3BAB2.2A10.4B26.B11.8B.B2A.A33.A4.2A42.
4B$96.4B.8BA.A.2A.A23.12B4A11.4B17.2A19.7B3.B2AB3A27.4A.2A2.A2.A41.4B
$95.4B2.8B.A.A25.2AB.7B3.2B.A10.4B17.A.A19.6B6.B4.A26.A2.A.A.A.A.2A
42.4B$94.4B4.5B4.A2.2A21.A.AB.7B2.B3A10.4B12.2A4.A22.6B4.2A.3A29.BABA
BA.A46.4B$93.4B5.6B4.2A.3A19.A5.4B4.A12.4B11.A2.A2.2A.4A18.5B4.A2.2A
32.B2ABA.A47.4B$92.4B5.6B6.B4.A17.2A5.4B5.5A6.4B12.2A.A.A.A.A2.A17.8B
.A.A36.2B.BA49.4B$92.3B6.7B3.B2AB3A24.4B10.A5.4B16.A.ABABAB19.8BA.A.
2A.A31.3B53.4B10.2A$92.2B8.8B.B2A.A25.4B9.A6.4B17.A.AB2AB11.2A7.6B.2B
AB.A.2A22.2A6.4B54.4B9.A$92.B9.10B28.4B10.2A4.4B19.AB.2B13.A6.2B3D2B
2.2B2.A26.A6.B2A3B53.4B10.A$101.3B2A6B27.4B16.4B23.3B12.A.AB3.4BD2B3.
B.2A26.A.AB3.B2A3B47.2A5.4B5.5A$87.B7.2A5.2B2A6B26.4B16.4B24.4B6.2A4.
2AB2.4B3DB2.A.A2.2A25.2AB.10B46.A5.4B4.A$86.2B8.A5.10B25.4B16.4B23.3B
2AB6.A7.11B2.2A2.A2.A26.13B45.A.AB.7B2.B3A$85.4B7.A.AB2.11B23.4B16.4B
24.3B2AB3.BA.A7.11B7.2A27.14B45.2AB.7B3.2B.A$84.4B9.2AB.12B22.4B16.4B
23.10B.B2A8.11B36.15B46.12B4A$83.4B12.15B20.4B16.4B23.13B9.11B39.8B2.
4B45.7B2A3BAB2.2A$82.4B13.16B18.4B16.4B23.14B10.7B.2B39.6B5.4B44.7B2A
2B.B3A2.A$81.4B14.16B.2B14.4B16.4B23.15B10.11B37.9B4.4B43.10B3.B.A.2A
$80.4B15.18B2A12.4B16.4B23.4B2.8B13.10B36.4B4.2A5.4B41.8B8.A$79.4B4.A
10.17B.B2A11.4B16.4B23.4B5.6B13.12B33.4B5.A7.4B39.9B7.2A$78.4B3.3A9.
4B2.8B.4B.B11.4B16.4B23.4B4.9B13.13B30.4B7.3A5.4B37.4B2.3B$77.4B3.A
11.4B4.7B17.4B16.4B23.4B5.2A4.4B9.17B28.4B10.A6.4B38.B3.5B$76.4B4.2A
9.4B5.6B17.4B16.4B23.4B7.A5.4B7.18B27.4B19.BABA44.2A15.B$75.4B3.4B8.
4B6.4B18.4B16.4B23.4B5.3A7.4B5.2B2A13B.B2A24.4B21.B2AB43.A15.2B$74.4B
3.2AB9.4B5.A3B19.4B16.4B23.4B6.A10.4B5.B2A6B.4B3.BA.A22.4B23.A3B43.3A
11.3B$59.A13.4B4.A.AB7.4B5.A.AB19.4B16.4B23.4B19.4B3.8B4.B8.A21.4B25.
4B44.A10.4B$59.3A10.4B6.2AB6.4B4.3A.A19.4B16.4B23.4B21.4B2.6B15.2A19.
4B27.4B53.4B$62.A8.4B7.3B5.4B4.A3.A19.4B16.4B23.4B23.4B.7B34.4B29.4B$
61.2A7.4B9.4B2.4B5.A.2A19.4B16.4B23.4B25.4B.6B33.4B31.4B$61.5B3.4B10.
9B3.BA.A.A19.4B16.4B23.4B27.9B33.4B33.4B$63.3B2.4B6.3B.12B.B2A4.A5.A
10.4B16.4B23.4B29.8B32.4B35.4B10.A$53.2A7.9B7.2A16B5.2A5.3A7.4B16.4B
23.4B31.8B30.4B37.4B7.3A5.B$53.A8.8B7.ABA16B15.A5.4B16.4B23.4B33.7B
29.4B39.4B5.A7.2B$50.2A.A.B3.10B8.BA16B15.2A4.4B16.4B23.4B35.6B7.2A
19.4B41.4B4.2A5.3B$50.A2.3AB.2B2A7B2.2A4.19B14.9B6.2A8.4B23.4B36.2B3D
2B6.A19.4B43.9B4.4B$51.2A2.BA3B2A7B3.A2.2AB2.18B14.6B7.A8.4B23.4B37.
2BD4B3.BA.A18.4B45.6B5.4B$53.4A12B3.A.A.AB3.20B2.2B2.B3.6B5.2A.A7.4B
23.4B38.B3D4B2.B2A18.4B46.8B2.4B$53.A.2B3.7B.B2A.A.A5.17BD19B4.A2.A7.
4B23.4B39.11B19.4B45.15B$54.3AB2.7B.BA.A2.A4.11B.4BDBD20B3.B2A7.4B23.
4B40.11B18.4B46.14B$57.A4.4B5.A.A4.4B.6B2.4B3D9B2A14B7.4B23.4B41.11B
17.4B47.13B$52.5A5.4B5.2A4.4B2.5B3.4BD11B2A13B7.4B23.4B43.11B15.4B46.
2AB.10B$52.A10.4B9.4B4.3B5.29B7.4B23.4B11.4B29.2B.7B15.4B46.A.AB3.B2A
3B$54.A9.4B7.4B3.7B10.2B.B.17B6.4B23.4B44.11B14.4B47.A6.B2A3B$53.2A
10.4B5.4B4.2A.B.2A9.3B4.15B6.4B23.4B45.10B14.4B47.2A6.4B$66.4B3.4B6.A
3.A6.2A.2BA5.15B5.4B23.4B44.12B13.4B57.3B$67.4B.4B4.3A5.3A3.A.2BA.A5.
13B5.4B23.4B43.13B13.4B59.2B.BA$68.7B5.A9.A4.A2.BA.A2.13B6.4B23.4B43.
17B9.4B59.B2ABA.A$69.5B22.A3.A.A.2A4.9B3.4B23.4B44.18B7.4B59.BABABA.A
$69.5B20.A.4A2.AB2A5.8B2.4B23.4B10.B32.2AB.13B2A2B5.4B58.A2.A.A.A.A.
2A$68.7B18.A.A3.A.A2.B7.6B2.4B23.4B43.A.AB3.4B.6B2AB5.4B59.4A.2A2.A2.
A$67.4B.4B17.A.A2.A2.2A.2A7.5B.4B23.4B44.A8.B4.8B3.4B64.A4.2A$66.4B3.
4B17.A3.2A2.A.A8.9B23.4B44.2A15.6B2.4B63.A.A$65.4B5.4B24.A.A9.7B23.4B
61.7B.4B64.2A$64.4B7.4B24.A11.5B23.4B62.6B.4B56.B$63.4B9.4B34.5B9.A
13.4B64.9B57.2B$62.4B11.4B33.4B10.3A10.4B65.8B58.3B$61.4B13.4B31.4B
14.A8.4B65.8B59.4B$60.4B15.4B29.4B14.2A7.4B66.7B61.4B$60.3B3.2A12.4B
27.4B15.5B3.4B58.2A7.6B$60.2B4.A14.4B25.4B18.3B2.4B60.A6.2B3D2B$60.B
2.BA.A15.4B23.4B9.2A7.9B61.A.AB3.4BD2B$61.B.B2A17.4B21.4B10.A8.8B63.
2AB2.4B3DB$61.3B20.4B19.4B8.2A.A.B3.10B66.11B$61.3B21.4B10.A6.4B9.A2.
3AB.2B2A7B66.11B$53.B7.3B22.4B7.3A5.4B11.2A2.BA3B2A7B66.11B$52.2B7.2B
24.4B5.A7.4B14.4A12B65.11B$48.B2.3B7.3B24.4B4.2A5.4B15.A.2B3.7B.B2A
64.7B$47.7B7.4B24.9B4.4B17.3AB2.7B.BA.A57.2A4.8B$47.6B8.5B24.6B5.4B
21.A4.4B5.A58.A5.8B$46.7B4.B5.4B23.8B2.4B17.5A5.4B5.2A57.A.AB2.7B$41.
B3.BA7B.ABAB5.4B20.15B18.A10.4B64.2AB.9B$40.2AB.BABA7BABA2B5.4B19.14B
21.A78.11B$40.2A3BA2BA7BA5B4.4B18.13B21.2A78.11B$41.B.3BAB2A13B4.4B
15.2AB.10B102.9B.B2A$43.5BA13B6.4B13.A.AB3.B2A3B104.8B2.BA.A$43.5B5A
11B5.4B12.A6.B2A3B104.8B5.A$43.6BA3BA6B.B2A.A4.4B10.2A6.4B105.9B5.2A$
41.2AB.6BABA5B2.B2AB3A3.4B18.3B105.9B$40.A.AB3.B.9B5.B4.A3.B3A18.2B.B
A102.10B$40.A10.8B3.2A.3A5.A3B16.B2ABA.A101.11B$39.2A11.7B4.A.A8.A3B
14.BABABA.A103.5B.4B13.A9.B$49.11B3.A.A9.4B11.A2.A.A.A.A.2A100.B2AB3.
4B10.3A$48.12B4.A11.4B10.4A.2A2.A2.A101.2A5.4B8.A14.2B$39.2A7.12B17.
4B13.A4.2A111.4B7.2A$38.A2.A2.2A2.11B19.4B10.A.A118.4B3.5B$39.2A2.A.A
2.8B.4B18.4B9.2A120.4B2.3B$41.2A.B3.7B4.2A19.4B131.9B7.2A$41.A2.2B2.
7B4.A21.4B131.8B8.A$38.2A.A.BA2B.6B6.3A19.4B131.10B3.B.A.2A$38.A.2A.A
.A8B8.A20.4B130.7B2A2B.B3A2.A$42.A.A.8B30.4B129.7B2A3BAB2.2A$39.2A2.A
4.5B32.4B128.12B4A$37.3A.2A4.6B33.4B125.2AB.7B3.2B.A$36.A4.B6.6B33.4B
123.A.AB.7B2.B3A$23.3B11.3AB2AB3.7B34.4B122.A5.4B4.A$18.A2.2A3B13.A.
2AB.8B36.4B120.2A5.4B5.5A$17.A3B2A2B2A16.10B37.4B125.4B10.A$17.A7B2A
16.11B37.4B123.A3B9.A$18.4AB2.B17.10B5.2A32.4B121.BABA10.2A$18.3B22.
10B5.A34.4B10.B108.2B2A$.4B2.B.3B.B2.2B24.B5A5B2.BA.A35.4B8.2B107.4B$
.4B.18B18.2A10B.B2A37.4B6.3B.2A103.4B$2A5B2A16B16.4BAB2A7B40.4B4.4B.A
103.4B$2A5B2A16B15.ABA2BABABA6B41.4B10.A100.4B$.B.22B12.2B.ABA4BAB2A
5B35.2A5.4B5.5A99.4B$3.B2A21B9.2A3B2ABA2BAB2A5B36.A5.4B4.A103.4B$4.2A
7B2.13B8.2AB.5B4A8B35.A.AB.7B2.B3A99.4B$4.6BAB6.10B9.B.4B.8B2.4B35.2A
B.2BA4B3.2B.A97.4B$6.3B2A2B7.7B17.4B3A4.4B36.2B2A8B4A96.4B$5.3BA2B2A
2B6.8B16.3B3A5.4B35.3B3A2BA3BAB2.2A94.3B$5.3B2A4BA3B2.7B2A18.2BAB6.4B
34.4B2A2BA2B.B3A2.A93.2B$6.6B3A12B2AB19.3BA5.4B33.10B3.B.A.A.A$8.5B2A
15B.B18.BA.A5.4B16.2A13.8B8.A.A.A$8.16B2A5B2A18.A.A6.4B9.A.2A.A.A5.A
6.9B7.2A.A.2A$8.16B2A5B2A19.A8.4B8.2A.A.A5.3A5.4B2.3B12.A3.A$9.18B.4B
21.3A6.4B11.2AB3.A7.4B3.5B3.A.A.3A2.3A8.2A$16.4B.3B.B2.4B11.A11.A7.4B
10.2B4.2A5.4B7.2A2.A.2A.A2.2A10.B2AB$17.4B22.3A12.B.3B.4B10.7B4.4B8.A
3.A3.A2.A3.2A7.3B$18.4B24.A10.13BA4B3.5B5.4B5.2A3.3A.2A5.3A.A8.B.B$
19.4B10.A11.2A3.B5.2B2A9B6AB.7B3.4B6.A.A4.A.A.5A2.B8.5B$20.4B7.3A11.
8B3.2B2A8BA2B2AB2A.7B2.4B9.4A5.A4.AB2A6.6B$21.4B5.A16.8B.11B2ABA3B2A.
7B.4B9.A3.2A3.A2.BA.A.2A4.8B$22.4B4.2A15.21BAB4A14B10.2A6.A.2BA.A2.
13B$15.2A6.9B14.15B.2B2.5B2A14B8.5B6.2A.2BA5.13B$16.A7.6B14.17B8.18B
7.4B12.3B3.15B$16.A.2A5.6B3.B2.2B2.19B11.17B6.5B12.2B3.15B$17.A2.A4.
35B11.19B.B2.5B11.4B.17B$18.2AB3.27B.7B11.29B4.29B$19.41B10.30B2.16B
2A13B$20.41B8.8B.22B2.16B2A14B$21.12B3A14B2.8B9.9B.B.20B.27B3.B2A$21.
9B2A2BA3B.B.2B11.6B9.6B2A2B2.5B2.40B4.A2.A$22.8BABA4B4.3B10.5B11.5B2A
2B3.3B6.21B2.2B2.B3.6B5.2A.A$22.15B5.A2B.2A7.4B11.10B12.17B14.6B7.A$
23.13B5.A.A2B.A7.3B13.8B13.15B14.9B6.2A$25.13B2.A.AB2.A9.4B4.2A4.7B.
3B10.15B15.2A4.4B$24.8B4.2A.A.A3.A12.2A4.A.A.2A5B4.2A10.16B15.A5.4B$
24.6B6.2ABA2.4A.A10.A7.AB2AB.3B4.A11.16B12.3A7.4B$24.5B8.B2.A.A3.A.A
10.3A3.A2.B3.2B6.3A9.7B3.3B.B2A10.A10.4B$24.B.B9.2A.2A2.A2.A.A12.A3.
2A.2A2.3B7.A10.5B8.BA.A21.4B$25.3B9.A.A2.2A3.A18.A.A3.B2AB17.5B2A9.A
22.4B$24.B2AB9.A.A26.A.A4.2A22.A2BA2.2A4.2A22.4B$25.2A11.A28.A29.ABAB
3.A2.2A25.4B$98.A4B.A.A.A26.4B$100.B2A.A2.A28.4B$100.BAB.A32.4B$98.A
4.A34.4B$98.5A36.4B25.B$140.4B23.2B$100.A40.4B21.3B$99.A.A40.4B19.4B$
100.A42.4B6.A10.4B$144.4B5.3A7.4B$145.2B9.A5.4B$146.B8.2A4.4B$155.9B$
157.6B$155.8B$153.12B$153.12B$152.13B$153.10B.B2A$155.3B2AB3.BA.A$
155.3B2AB6.A$157.4B6.2A$157.3B$154.AB.2B$153.A.AB2AB$153.A.ABABAB$
150.2A.A.A.A.A2.A$150.A2.A2.2A.4A$152.2A4.A$158.A.A$159.2A!
et voila, the safe universal and gate.

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dvgrn
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Re: Stable universal regulator

Post by dvgrn » May 14th, 2020, 10:44 am

Jormungant wrote:
May 14th, 2020, 10:27 am
Here is a corollary of the newer universal regulator, the universal AND gate (or universal waiter). Basically waits for 2 gliders and outputs one, without any assumption on who comes first and at what time...
Looks good! Here's some prior art by David Bell and Chris Cain, in the asynchronous AND gate department.

The following message mentions some ideas for another possible use case: two signals may or may not come in at any point in a given time period. But if you don't get an output after N ticks, you know they're not both coming -- so then you want to be able to reset the mechanism safely.

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » May 14th, 2020, 10:52 am

Yes, I was not sure if calling this a AND gate is proper, it only output "ON" at the end of the day, you just have to wait (there is no n tick cycles to reset), well, maybe the better name is stable universal waiter... well, that problem of and gate with reset is now trivial, just use the regularizator on both input with the same clock, and use any AND/OR/XOR gate apparatus, which now can rely on knowing the exact glider phases. The only thing left is if the condition is that input "B" must exactly happen N ticks before input "A" happened (not controlled by a global clock)

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » May 25th, 2020, 8:28 am

Here is another valid "regulation" operation. There should be many more of these.

Code: Select all

x = 86, y = 70, rule = LifeHistory
9$52.A$52.3A$55.A$54.2A$54.5B$56.4B$55.5B$12.B42.6B$12.2B40.B2A3B$12.
3B39.B2A4B$12.4B38.7B$13.4B36.8B$14.4B35.7B$15.3BC34.7B$16.3BC22.2A8.
8B$17.3CB22.A8.9B$18.4B21.A.AB4.10B$19.4B10.A7.D2.2ABD14B$20.4B7.3A7.
D2.D.17B$21.4B5.A10.D2.D.17B$22.4B4.2A10.5D15B$15.2A6.9B14.16B$16.A7.
6B14.19B$16.A.2A5.6B3.B2.2B2.21B$17.A2.A4.19BD17B$18.2AB3.20BDBD4B.9B
9.B.2B$19.14B2A9B3D4B2.8B7.11B$15.B4.13B2A11BD4B2.8B3.B2.5B2C6B$21.
29B2.8B2.4B.4BC2BC5B$21.17B.4B9.8B.10BC2BC4B$22.15B3.4B4D3.21B2C5B$
22.15B3.3B8.28B$23.13B5.A2B.2A3.29B$25.13B2.A.A2B.A2.28B.B2A$24.8B4.
2A.A.ABD.AD2.28B.BA.A$24.6B6.2ABA.D2.A2.D.12B2C13B5.A$24.5B8.B2.5A.AD
.11BCBC12B6.2A$24.B.B5.2A.A.2A.AD3.A.A2.11BC14B$25.3B4.A.2A.A2.A.2A2.
A9.14BC5B$24.B2AB11.2A.A.2A10.13B3C4B$25.2A14.7D8.15BC2B$46.D7.2CB.
15B$44.2D7.C.CB2.7B$46.D6.C6.5B$41.7D4.2C6.4B$59.4B$41.7D10.4B$44.D
12.4B$43.D$42.D$41.7D2$42.2D2.2D$41.D2.2D$41.D2.D$41.D2.D$41.7D!
would be nice to find more with different glider output direction. Or even better, if that was a conduit that get short-circuited instead ^^.

However, the "holy grail" would be to instead produce a glider from the spark-boat interaction. that spark would need to be part of some bigger decaying pattern that resolve either way (boat/no-boat), and the glider must escape unharmed... so that's challenging ^_^

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » May 25th, 2020, 3:39 pm

Addendum: Just noticed some very peculiar reaction, if that can be fixed that would be amazing ^^

Code: Select all

x = 182, y = 70, rule = LifeHistory
$4.B$4.2B$4.3B$4.4B$5.4B$6.4B$7.4B$8.4B$9.BABA46.A$10.B2AB45.3A23.2A$
11.A3B47.A22.A2.A.A$12.4B45.2A24.2A.3A$13.4B44.5B22.B4.A$14.4B45.4B
14.2B3.B2AB3A$15.4B43.5B6.2A5.4B2.B2A.A$16.4B42.6B6.A5.7B$17.4B40.B2A
3B7.A.AB.9B$18.4B39.B2A4B7.2AB.9B$19.4B38.7B9.11B$20.4B42.2B9.11B$21.
4B41.B11.11B4.B$22.4B40.B12.10B3.3B$23.4B22.2A15.B10.12B2.6B$24.4B22.
A15.2B8.13B.7B2.4B$25.4B21.A.AB12.2B8.27B$26.4B10.A10.2AB.3B8.3B7.27B
2CB60.4B$27.4B7.3A12.5B8.2A2B6.24BCDB3C59.4B$28.4B5.A15.5B8.3BA5.21B
2AB3DB2C59.4B$29.4B4.2A15.4B8.2BA6.21B2A2B2CB3C57.4B$22.2A6.9B14.5B8.
A2B5.27B2.B2C45.B10.4B$23.A7.6B14.7B8.4B5.26B50.2B8.4B$23.A.2A5.6B3.B
2.2B2.10B8.3B7.20B2.B52.2B7.4B$24.A2.A4.19BD6B8.3B4.B.B.20B57.B4.4B$
25.2AB3.20BDBD4B8.2B4.2A24B53.4B3.6B7.2A$26.4BA2BA17B3D4B8.2B4.2A25B
3.2A47.2B2C2.3A4B7.A$22.B4.B2A4B2A17BD4B8.2B5.2B.24BA2.A47.BCBC2.2BA
6B2.BA.A$28.2BA2BA23B9.B11.21B.2A49.2BC2.A10B.B2A$28.5B2AB2A7B.4B16.B
13.18B58.A2BA9B$29.6B2AB2A4B3.4B15.B13.10B2A6B59.2BA4B3A2B$29.4BA2BA
7B3.3B16.4B9.10B.2A2B63.2A5B3A2B$30.B3A3B3A3B5.A2B.2A3.B8.4B9.6B6.5B
63.B2.7B$32.BA11B2.A.A2B.A2.2B8.4B8.6B10.2A67.6B$31.2B2ABA2B4.2A.A.AB
2.A3.2B8.4B4.B2.3BA3B10.A69.6B$31.3BABA6.2ABA4.A4.2B8.2B2C2.2A5BABA2B
11.3A59.2A5.6B$31.4BA8.B2.5A.A2.11BCBC2.2BA4BABA2B13.A60.A6.6B$31.B.B
5.2A.A.2A.A4.A.A2.11BC2.A2BA5BA3B74.A.AB3.8B$32.3B4.A.2A.A2.A.2A2.A
17.A10B.B2A73.2AB.10B$31.B2AB11.2A.A.2A19.2BA6B2.BA.A$32.2A38.3A4B7.A
$73.6B7.2A$74.4B$75.4B$76.4B$77.4B$78.4B$79.4B$80.4B$81.4B!

Jormungant
Posts: 217
Joined: May 27th, 2016, 1:01 am

Re: Stable universal regulator

Post by Jormungant » May 26th, 2020, 8:44 pm

Well, I would love to properly supress the B inconditionnaly before it interacts with the produced glider (feel free to try)...

Code: Select all

x = 19, y = 19, rule = LifeHistory
4.2C$4.2C$4.2C5$16.2A$16.A.A$.C15.A$.2C$2C5$5.C$4.C.C$4.2C!
This could be used as regulator even if what I ask is impossible, but the recovery time would be horrible (though I say that, it used to be horrible^2 ^_^):

Code: Select all

x = 244, y = 123, rule = LifeHistory
13$151.2AB$149.BA2BA2B$148.3B2A3B$146.12B$145.14B$145.13B$143.15B6.A$
16.2AB125.15B3.3A5.2A$14.BA2BA2B124.14B2.A8.A$13.3B2A3B125.13B2.A.2A
2.BA.A$11.12B124.8B3DB3.AB.A.B2A$10.14B124.8BD2B4.B2A2B$10.13B126.4B.
3D2B5.5B$8.15B6.A120.2B3D4B2.B.6B2.A$9.15B3.3A5.2A112.3BDBD4B.9B.A.A$
10.14B2.A8.A114.2BD16B2.A$11.13B2.A.2A2.BA.A114.19B$12.8B3DB3.AB.A.B
2A117.17B$13.8BD2B4.B2A2B120.16B$14.4B.C2D2B5.5B119.16B$15.2B3C4B2.B.
6B2.A117.15B$14.3BCBC4B.9B.A.A116.14B4.2A$15.2BC16B2.A118.13B4.2A$15.
19B122.3B.9B$17.17B120.4B3.9B$18.16B120.2A4.10B4.A$18.16B121.A2.13B2.
A.A$19.15B118.3A3.13B3.A$19.14B4.2A113.A5.12B5.3A$20.13B4.2A119.11B8.
A$21.3B.9B124.10B$19.4B3.9B123.11B$19.2A4.10B4.A119.14B$20.A2.13B2.A.
A118.15B.B$17.3A3.13B3.A121.5B2A7B2A$17.A5.12B5.3A118.4BA2BA6B2A47.2B
$23.11B8.A118.5B2A5B.2B23.2E22.5B$23.10B128.12B27.E21.7B$23.11B127.
11B15.E11.E21.8B$24.14B123.11B15.3E9.2E20.9B$24.15B.B121.9B19.E9.B20.
10B$26.5B2A7B2A119.8B8.2E10.2E9.3B19.8BA$26.4BA2BA6B2A47.2B70.2B2C2B
11.E10.5B5.6B16.8BABA$26.5B2A5B.2B23.2E22.5B69.C2BCB11.E.EB9.4B3.10B
11.10BABA$26.12B27.E21.7B68.B2CB3.2A8.2EB.3B4.6B2.11B3.2B2.14BAB$26.
11B15.E11.E21.8B67.6B2.2A10.7B.9BD3B2E15BD11B$26.11B15.3E9.2E20.9B64.
8B14.17B2D2B2E15BDBD9B$27.9B19.E9.B20.10B62.9B15.17B2D18B3D7B$26.8B8.
2E10.2E9.3B19.8BA62.10B13.18BD21BD7B$26.2B2D2B11.E10.5B5.6B16.8BABA
61.11B10.19BD26B2.B$27.DB.DB11.E.EB9.4B3.10B11.10BABA61.2B.2B.5B3.2B
2.19B.B3.13B.4B$27.B2DB3.2A8.2EB.3B4.6B2.11B3.2B2.14BAB61.2BC18BD13B
7.7B.B4.4B$26.6B2.2A10.7B.9BD3B2E15BD11B62.B.2C17BDBD4B.6B19.4B$24.8B
14.17B2D2B2E15BDBD9B62.B2C18B3D4B2.B.5B16.4B$23.9B15.17B2D18B3D7B64.
21B2.D4B7.2E15.4B$23.10B13.18BD21BD7B65.26B8.E15.4B$23.11B10.19BD26B
2.B67.B2.15B16.3E11.4B$23.2B.2B.5B3.2B2.19B.B3.13B.4B80.2B3.B3.5B19.E
10.4B$23.2BC18BD13B7.7B.B4.4B82.CB6.5B29.4B$23.B.2C17BDBD4B.6B19.4B
82.C.C6.6B27.4B$23.B2C18B3D4B2.B.5B16.4B83.2C5.4B.4B25.4B$23.21B2.D4B
7.2E15.4B91.2E4.4B23.4B$24.26B8.E15.4B93.E5.4B21.4B$25.B2.15B16.3E11.
4B91.3E7.4B19.4B$28.2B3.B3.5B19.E10.4B92.E10.4B6.E10.4B$29.CB6.5B29.
4B105.4B5.3E7.4B$28.C.C6.6B27.4B107.4B7.E5.4B$28.2C5.4B.4B25.4B109.4B
5.2E4.4B$35.2E4.4B23.4B111.4B4.9B$36.E5.4B21.4B113.4B5.6B$33.3E7.4B
19.4B115.4B2.8B$33.E10.4B6.E10.4B117.15B$45.4B5.3E7.4B119.14B$46.4B7.
E5.4B121.13B$47.4B5.2E4.4B123.10B.B2E$48.4B4.9B126.3B2EB3.BE.E$49.4B
5.6B127.3B2EB6.E$50.4B2.8B129.4B6.2E$51.15B127.3B$52.14B124.EB.2B$53.
13B123.E.EB2EB$54.10B.B2E121.E.EBEBEB$56.3B2EB3.BE.E117.2E.E.E.E.E2.E
$56.3B2EB6.E117.E2.E2.2E.4E$58.4B6.2E118.2E4.E$58.3B133.E.E$55.EB.2B
135.2E$54.E.EB2EB$54.E.EBEBEB$51.2E.E.E.E.E2.E$51.E2.E2.2E.4E$53.2E4.
E$59.E.E$60.2E!

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