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Refactoring DRH's cyclotron with stable components?

https://conwaylife.com/forums/viewtopic.php?t=3841

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Re: Refactoring DRH's cyclotron with stable components?

Posted: January 3rd, 2020, 5:00 pm
by dvgrn
Gustone wrote: January 3rd, 2020, 3:41 pmdublicator...
I just have to say... signal splitters made out of a syringe plus that NW31 variant have been in common use since, well, a few minutes after the syringe was invented. Yes, the second output glider is blocked off in the linked pattern, but that's been a well-known variant for a couple of decades now. There's no need to repost that here.

Re: Refactoring DRH's cyclotron with stable components?

Posted: January 3rd, 2020, 6:38 pm
by Entity Valkyrie 2
Gustone wrote: January 3rd, 2020, 3:41 pm dublicator

Code: Select all

x = 52, y = 27, rule = B3/S23
27b2o$28bo$28bobo$18bo10b2o$16b3o$15bo$15b2o$2o48b2o$bo48b2o$bob2o$2bo
2bo$3b2o9bo$15b2ob2o$14b2o2b2o4$27bo3b2o$26bobo3bo$25bobo3bo$21b2obobo
3bo$21b2obo2b4obo5b2o$25bobo3bobo5bo$21b2ob2o2bo2bobo2b3o$22bobo2b2o3b
o3bo$10b2o10bobo$10b2o11bo!
That's the smallest glider duplicator known, I think.

Dublicator could mean "dubious duplicator" in the terms of Cyclotron.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 6th, 2020, 11:20 am
by pcallahan
Any chance of optimizing viewtopic.php?p=71925#p71925 further using https://conwaylife.com/wiki/Bandersnatch?

Specifically, can the rectifiers be eliminated?

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 6th, 2020, 1:23 pm
by dvgrn
pcallahan wrote: July 6th, 2020, 11:20 am Any chance of optimizing viewtopic.php?p=71925#p71925 further using https://conwaylife.com/wiki/Bandersnatch?

Specifically, can the rectifiers be eliminated?
The rectifiers were only needed to get some use out of two gliders on closely spaced output lanes. The Bandersnatch comes in very handy for separating input lanes, even though they can't help with separating output lanes. There's a pair of input lanes with 17hd spacing and a pair of output lanes with 15hd spacing, so the Bandersnatch only solves half of the problem: Snarks can only separate glider lanes that are at least 18hd apart (but see EDIT2 below).

Looks like we can get away with just one engine, as long as we're allowed to use Goldtiger997's trick with a block to separate two of the closely spaced outputs.

Code: Select all

x = 115, y = 108, rule = LifeHistory
90.4B$89.C3B$88.C3B$87.B3C$86.4B$85.4B$84.4B$83.4B$82.4B$55.A25.4B$
54.A.A23.4B$54.A.A22.4B$52.3A.2A20.4B$51.A4.B11.2A7.4B$52.3AB2AB2.2B
4.B2AB5.4B$54.A.2A6B.7B3.4B$56.22B$58.19B$57.19B$57.18B$57.19B$54.2B.
20B$53.2A22B$53.2AB.6BA13B$54.B2.5BABA14B$56.5BA2BA14B$57.5B2A16B$25.
B31.19B2.B2A$25.2B29.20B2.BA.A$25.3B27.2A16B.3B4.A13.CBC$25.4B26.2A
21B3.2A11.B2CB$26.4B26.2B.7B2.10B15.3BC$27.4B29.6B2.10B14.4B$28.4B29.
4B3.8B15.4B$29.4B31.2B3.2B.4B14.4B$25.B4.4B29.B2AB5.3B14.4B$25.2B4.4B
29.2A5.4B13.4B$25.3B4.4B34.4B13.4B$25.4B4.4B32.4B13.4B$26.4B4.4B30.4B
13.4B$27.4B4.4B28.4B13.4B$28.4B4.4B7.B18.4B13.4B$29.4B4.4B5.4B7.2B6.
4B13.4B$30.4B4.4B2.6B2.8B4.4B13.4B$31.4B4.21B3.4B13.4B$32.4B4.19B3.4B
13.4B$33.4B3.19B2.6B11.4B$34.4B2.29B8.4B$35.4B.30B6.4B$36.34B5.4B$37.
32B5.4B$36.36B.4B37.B$35.41B37.2B$34.41B37.3B$33.41B37.4B$32.4B.37B
36.4B$31.4B2.36B36.4B$30.4B4.35B35.4B$29.4B5.21B4.9B35.4B$28.4B7.B2.
18B3.6B37.4B$27.4B12.17B2.8B35.4B$26.4B15.2B.12B2.9B33.4B$25.4B19.13B
.10B31.4B$24.4B22.12B.10B29.4B$23.4B24.17B2.4B27.4B$22.4B26.16B3.4B
25.4B$21.4B28.16B3.4B23.4B$20.4B30.15B4.4B21.4B$19.4B32.14B5.4B19.4B$
18.4B33.C14B5.4B17.4B$17.4B33.2B2C12B6.4B15.4B$16.4B34.B2C14B.3B2.4B
13.4B$15.4B36.20B.6B11.4B$14.4B37.28B9.4B$13.4B37.6B.23B7.4B$12.4B38.
B3CB3.23B5.4B$11.4B39.3BCB3.24B3.4B$10.4B39.3BC.2B2.25B.4B$9.4B40.7B
2.29B$8.4B42.36B$7.4B43.36B$6.4B44.37B$5.4B45.33B.4B$4.4B47.31B3.4B$
3.4B49.28B6.4B$2.4B54.B5.17B8.4B$.4B62.16B9.4B$4B63.16B10.4B$3B66.14B
11.4B$2B70.12B11.4B$B72.6B2.4B11.3B$73.4B5.4B11.2B$75.B7.4B11.B$84.4B
$85.4B$86.4B$87.4B$88.4B$89.4B$90.4B$91.4B$92.4B$93.4B$94.4B$95.4B$
96.3B$97.2B$98.B!
Above, we don't have a usable 4G->6G, because two of the gliders would just have to be eaten -- it's easy to make an oscillator, but not a gun (and if we just want an oscillator then the old 3-block mechanism works fine with just Snarks.)

That means we need to move to something like this 5G->7G --

Code: Select all

x = 92, y = 154, rule = LifeHistory
65.4B$64.C3B$63.C3B$62.B3C$61.4B$60.4B$59.4B$58.4B$57.4B$30.A25.4B$
29.A.A23.4B$29.A.A22.4B$27.3A.2A20.4B$26.A4.B11.2A7.4B$27.3AB2AB2.2B
4.B2AB5.4B$29.A.2A6B.7B3.4B$31.22B$33.19B$32.19B$32.18B$32.19B$29.2B.
20B$28.2A22B$28.2AB.6BA13B$29.B2.5BABA14B$31.5BA2BA14B$32.5B2A16B$B
31.19B2.B2A$2B29.20B2.BA.A$3B27.2A16B.3B4.A13.CBC$4B26.2A21B3.2A11.B
2CB$.4B26.2B.7B2.10B15.3BC$2.4B29.6B2.10B14.4B$3.4B29.4B3.8B15.4B$4.
4B31.2B3.2B.4B14.4B$B4.4B29.B2AB5.3B14.4B$2B4.4B29.2A5.4B13.4B$3B4.4B
34.4B13.4B$4B4.4B32.4B13.4B$.4B4.4B30.4B13.4B$2.4B4.4B28.4B13.4B$3.4B
4.4B7.B18.4B13.4B$4.4B4.4B5.4B7.2B6.4B13.4B$5.4B4.4B2.6B2.8B4.4B13.4B
$6.4B4.21B3.4B13.4B$7.4B4.19B3.4B13.4B$8.4B3.19B2.6B11.4B$9.4B2.29B8.
4B$10.4B.30B6.4B$11.34B5.4B$12.32B5.4B$11.36B.4B37.B$10.41B37.2B$9.
41B37.3B$8.41B37.4B$7.4B.37B36.4B$6.4B2.36B36.4B$5.4B4.35B35.4B$4.4B
5.21B4.9B35.4B$3.4B7.B2.18B3.6B37.4B$2.4B12.17B2.8B35.4B$.4B15.2B.12B
2.9B33.4B$4B19.13B.10B31.4B$3B22.12B.10B29.4B$2B24.17B2.4B27.4B$B26.
16B3.4B25.4B$28.16B3.4B23.4B$29.15B4.4B21.4B$30.14B5.4B19.4B$30.C14B
5.4B17.4B$29.2B2C12B6.4B15.4B$29.B2C14B.3B2.4B13.4B$30.20B.6B11.4B19.
B$30.28B9.4B19.2B$29.6B.23B7.4B19.3B$29.B3CB3.23B5.4B19.4B$29.3BCB3.
24B3.4B19.4B$28.3BC.2B2.25B.4B19.4B$28.7B2.29B19.4B$29.36B19.4B$29.
36B18.4B$29.37B16.4B$29.33B.4B14.4B$30.31B3.4B12.4B$31.28B6.4B10.4B$
35.B5.17B8.4B8.4B$42.16B9.4B6.4B$42.16B10.4B4.4B$44.14B11.4B2.4B$47.
12B11.8B$48.6B2.4B11.6B$48.4B5.4B11.4B$50.B7.4B9.6B$59.4B7.8B$60.4B5.
4B2.4B$61.4B3.4B4.4B$62.4B.4B6.4B$63.7B8.4B$64.6B9.4B$65.5B10.4B$65.
5B.B9.4B$64.7B2A9.4B$64.7B2A10.4B$65.5B.B12.4B$65.5B15.4B$64.6B16.4B$
63.7B17.4B$62.4B.4B17.4B$61.4B3.4B17.3B$60.4B5.4B17.2B$59.4B7.4B17.B$
58.4B9.4B$57.4B11.4B$56.4B13.4B$55.4B15.4B$54.4B17.4B$53.4B19.4B$52.
4B21.4B$51.4B23.4B$50.4B25.4B$49.4B27.4B$48.4B29.4B$47.4B31.4B$46.4B
33.4B$45.4B35.4B$44.4B37.4B$43.4B39.4B$42.4B41.4B$41.4B43.4B$40.4B45.
3B$39.4B47.2B$39.3B49.B20$18.3C$20.C$19.C!
Haven't done the analysis to see which outputs should be connected to which inputs, but it looks like it will be possible:

on the input side there are three gliders of one parity and two gliders of the other parity,

and the outputs include four gliders of one parity and three gliders of the other parity,

except it's easiest to just add an eater to one of the two output lanes to the NW (otherwise you have to do the rephaser reaction a couple more times to get the lanes separated by at least 18 cells, to where Snarks can get hold of them without interfering with each other).

So that leaves three gliders of each parity, and that's all we need to connect up just a single engine's outputs to its inputs, with one glider left over to use as a gun output.

EDIT: Oops, I didn't include overlap between input and output lanes in the analysis. There's still a problem: without rectifiers, we don't have a glider turner or shifter with a transparent lane near enough to the output lane to keep the overlapping SE input and NW output gliders from interfering with each other... and I don't think there's a known eater5-type eater that's narrow enough to knock out the NW output glider without getting in the way of the other output glider.

Which means the blueprint might have to be a 6G -> 7G, unless someone can come up with a better trick (I wouldn't be at all surprised if I've forgotten something obvious). The white glider is one of many options that can be used for suppression:

Code: Select all

x = 256, y = 255, rule = LifeHistory
255.B$254.2B$253.3B$252.4B$251.4B$250.4B$249.4B$248.4B$247.4B$246.4B$
245.4B$244.4B$243.4B$242.4B$241.4B$240.4B$239.4B$238.4B$237.4B$236.4B
$235.4B$234.4B$233.4B$232.4B$231.4B$230.4B$229.4B$228.4B$227.4B$226.
4B$225.4B$224.4B$223.4B$222.4B$221.4B30.B$220.4B30.2B$219.4B30.3B$
218.4B30.4B$217.4B30.4B$216.4B30.4B$215.4B30.4B$214.4B30.4B$213.4B30.
4B$212.4B30.4B$211.4B30.4B$210.4B30.4B$209.4B30.4B$208.4B30.4B$207.4B
30.4B$206.4B30.4B$205.4B30.4B$204.4B30.4B$203.4B30.4B$202.A3B30.4B$
201.A3B30.4B$201.3A30.4B$233.4B$232.4B$231.4B$230.4B$108.B120.4B$108.
2B58.A59.4B$108.3B56.A.A57.4B$108.4B55.A.A56.4B$109.4B52.3A.2A54.4B$
110.4B50.A16.2A41.4B$111.4B50.3A.2A10.2A40.4B$112.4B51.A.2A51.4B$113.
4B104.4B$114.4B102.4B$115.4B100.4B$116.4B98.4B$117.4B96.4B$118.4B94.
4B$119.4B43.2A47.4B$120.4B42.2A8.A37.4B$121.4B50.A.A35.4B$122.4B48.A
2.A34.4B$123.4B48.2A34.4B$124.4B64.2A16.4B$125.4B63.A.A14.4B$126.4B
38.2A24.A13.ABAB$127.4B37.2A24.2A12.2AB$128.4B77.A$129.4B$130.4B$131.
4B$132.4B41.2A$133.4B40.2A$134.4B$135.4B$136.4B$137.4B$138.4B$139.4B$
140.4B$141.4B$142.4B$143.4B$144.4B$145.4B$146.4B$147.4B$148.4B$149.4B
$150.4B$151.4B$152.4B$153.4B$154.4B$155.4B$156.4B$157.4B$158.4B$159.
4B$160.4B$161.4B$162.4B$163.4B$164.4B$165.4B$166.2BAB$167.2B2A$168.2A
4$168.3A$167.3BA$166.3BA$165.4B$164.4B$163.4B$162.4B$161.4B$160.4B$
159.4B$158.4B$157.4B$156.4B$155.4B$154.4B$153.4B$152.4B$151.4B$150.4B
$149.4B$148.4B$147.4B$146.4B$145.4B$144.4B$143.4B$142.4B63.2A$141.4B
64.2A$140.4B$139.4B$138.4B$137.4B$136.4B$135.4B$134.4B$133.4B$132.4B$
131.4B$130.4B$129.4B$128.4B$127.4B$126.4B$125.4B$124.4B$123.4B$122.4B
$121.4B$120.4B$119.4B$118.4B$117.4B$116.4B$115.4B$114.4B$113.4B$112.
4B$111.4B$110.4B$109.4B$108.4B$108.3B$108.2B$108.B8$3C$2.C$.C3$156.3A
$155.3BA$154.3BA$153.4B$152.4B$151.4B$150.4B$149.4B$148.4B$147.4B$
146.4B$145.4B$144.4B$143.4B$142.4B$141.4B$140.4B$139.4B$138.4B$137.4B
$136.4B$135.4B$134.4B$133.4B$132.4B$131.4B$130.4B$129.4B$128.4B$127.
4B$126.4B$125.4B$124.4B$123.4B$122.4B$121.4B$120.4B$119.4B$118.4B$
117.4B$116.4B$115.4B$114.4B$113.4B$112.4B$111.4B$110.4B$109.4B$108.4B
$108.3B$108.2B$108.B!
EDIT2: Technically Snarks can be used to put gliders onto lanes separated by 17 ticks, like this --

Code: Select all

x = 53, y = 51, rule = LifeHistory
26.B$26.2B$26.2BA$26.ABAB13.A$27.2A2B10.3A$28.4B8.A$29.4B7.2A$30.4B3.
5B$31.4B2.3B$32.9B7.2A$33.8B8.A$34.10B3.B.A.2A$20.2A12.7B2A2B.B3A2.A$
19.A.A12.7B2A3BAB2.2A$13.2A4.A14.12B4A$11.A2.A2.2A.4A8.2AB.7B3.2B.A$
11.2A.A.A.A.A2.A7.A.AB.7B2.B3A$14.A.ABABAB9.A5.4B4.A$14.A.AB2AB9.2A5.
4B5.5A$15.AB.2B16.4B10.A$18.3B14.4B9.A$18.4B6.2A4.4B10.2A$16.3B2AB6.A
4.4B$16.3B2AB3.BA.A3.4B$14.10B.B2A3.4B$13.13B4.4B$12.14B3.4B$11.15B2.
4B$10.4B2.8B3.4B$9.4B5.6B2.4B$8.4B4.13B$7.4B5.2A4.6B$6.4B7.A5.4B$5.4B
5.3A5.6B$4.4B6.A6.8B$3.4B13.4B2.4B$2.4B13.4B4.B3A$.4B13.4B6.A3B$4B13.
4B8.A3B$16.4B$15.4B$14.4B$13.4B$12.4B$11.4B$10.4B$9.4B$8.4B$7.4B$6.4B
$5.4B!
-- it's just that then you can't separate those lanes again using just Snarks.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 6th, 2020, 2:23 pm
by pcallahan
dvgrn wrote: July 6th, 2020, 1:23 pm Looks like we can get away with just one engine, as long as we're allowed to use Goldtiger997's trick with a block to separate two of the closely spaced outputs.
I think the block is absolutely in keeping with the spirit of the original challenge. It's been known for a very long time and it is not even close to producing an excess glider.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 6th, 2020, 3:23 pm
by dvgrn
pcallahan wrote: July 6th, 2020, 2:23 pmI think the block is absolutely in keeping with the spirit of the original challenge. It's been known for a very long time and it is not even close to producing an excess glider.
Okay, then the remaining problem involves dropping in a lot of Snarks and Bandersnatches, connecting outputs to inputs with trombone slides adjusted to the appropriate length.

Unfortunately there's still a potential problem. Bandersnatches change the mod-8 phase of a glider by 2, but they also change the color. So you can use a pair of Bandersnatches to retain the same glider color and change the mod-8 phase by 4, but not by 2. Can also change the phase by 4 just by moving a Bandersnatch from one side of a Snark to the other, if the Snark is part of a 180-degree turn.

The rephaser block also changes the phase by 2, but without changing the color. So it's quite possible that the timings will all work out, especially since the boat-and-loaf OTT input and output don't have to be any specific parity, so there's a free choice to be made there. But you have to have two gliders in specific mod-8 phases as inputs to a rephaser block, to get the 2-tick phase change on both gliders... so I think even adding more rephaser blocks won't necessarily guarantee success.

Someone should probably just try it and see what happens.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 6th, 2020, 10:03 pm
by dvgrn
dvgrn wrote: July 6th, 2020, 3:23 pmSomeone should probably just try it and see what happens.
Seemed like a good opportunity to practice my Bandermath. Almost everything worked pretty much the way I expected: without rectifiers, the Snark+Bandersnatch+rephaser block toolkit isn't universal, and I don't see how to make it work to get that specific set of outputs to inputs.

Also, I was wrong about the "6G -> 7G" idea I posted above. It would be 7G if the glider collision highlighted by the red arrow could produce an output glider, but there aren't any kickbacks that can escape from that location -- it would have to be some kind of clever catalyzed reaction.

Without a glider escaping there, this cyclotron reaction is only a 6G -> 6G... and not surprisingly, the output gliders aren't all in the correct phases to let them be connected to inputs. All but one input can be re-created. The one coming from the northwest is too fast by 2 ticks. (The yellow constellation slows that signal down by two ticks, but of course that only works once.)

Code: Select all

x = 350, y = 367, rule = LifeHistory
113.2A$113.A.A$115.A4.2A$111.4A.2A2.A2.A$111.A2.A.A.A.A.2A$113.BABABA
.A$114.B2ABA.A$115.2B.BA$114.3B$105.2A6.4B$106.A6.B2A3B25.A$106.A.AB
3.B2A3B24.A.A$107.2AB.10B22.A.A$109.13B20.2A.3A$109.14B7.2A11.B4.A$
109.15B5.B2AB4.2B2.B2AB3A$111.8B2.4B3.7B.6B2A.A$111.6B5.22B$110.9B4.
19B$109.4B4.2A5.19B$108.4B5.A7.18B$107.4B7.3A3.19B$106.4B10.A2.20B.2B
$105.4B14.22B2A$104.4B15.13BA6B.B2A$103.4B14.14BABA5B2.B$102.4B15.14B
A2BA5B$101.4B15.16B2A5B$100.4B15.2AB2.19B151.2A$99.4B5.2A8.A.AB2.20B
149.A.A$98.4B5.B2AB7.A4.3B.16B2A142.2A4.A$97.5B.2B3.2B7.2A3.21B2A140.
A2.A2.2A.4A$96.10B3.4B9.10B2.7B.2B141.2A.A.A.A.A2.A$96.10B2.6B8.10B2.
6B148.A.ABABAB$96.10B2.7B.2B6.8B3.4B149.A.AB2AB$91.2A3.21B2A5.4B.2B3.
2B153.AB.2B$92.A4.3B.16B2A6.3B5.B2AB155.3B$92.A.AB2.20B7.4B5.2A156.4B
6.2A$93.2AB2.19B9.4B160.3B2AB6.A$94.16B2A5B10.4B159.3B2AB3.BA.A$95.
14BA2BA5B10.4B156.10B.B2A$95.14BABA5B2.B9.4B154.13B$97.13BA6B.B2A9.4B
152.14B$97.22B2A10.4B150.15B$97.20B.2B12.4B148.4B2.8B$98.19B16.4B146.
4B5.6B$99.18B17.4B144.4B4.9B$98.19B18.4B142.4B5.2A4.4B$97.19B20.4B
140.4B7.A5.4B$96.22B19.3BC138.4B5.3A7.4B$95.4B3.7B.6B2A.A18.CBCB136.
4B6.A10.4B$82.2A10.4B5.B2AB4.2B2.B2AB3A17.2C2B134.4B19.4B$83.A9.4B7.
2A11.B4.A17.4B132.4B21.4B$81.A10.4B20.2A.3A19.4B130.4B23.4B$81.5A5.4B
5.2A15.A.A22.4B128.4B25.4B$86.A4.4B5.A16.A.A23.4B126.4B27.4B10.2A$83.
3AB2.7B.BA.A17.A25.4B124.4B29.4B9.A$82.A.2B3.7B.B2A45.4B122.4B31.4B
10.A$82.4A12B48.4B120.4B26.2A5.4B5.5A$80.2A2.BA3B2A7B49.4B118.4B28.A
5.4B4.A$79.A2.3AB.2B2A7B50.4B116.4B29.A.AB.7B2.B3A$79.2A.A.B3.10B51.
4B114.4B31.2AB.7B3.2B.A$82.A8.8B51.4B112.4B34.12B4A$82.2A7.9B51.4B
110.4B35.7B2A3BAB2.2A$92.3B2.4B51.4B108.4B36.7B2A2B.B3A2.A$90.5B3.4B
51.4B106.4B37.10B3.B.A.2A$90.2A7.4B51.4B81.2A21.4B37.8B8.A$91.A8.4B
51.4B79.A.A20.4B37.9B7.2A$88.3A10.4B51.4B72.2A4.A21.4B37.4B2.3B$88.A
13.4B51.4B13.A55.A2.A2.2A.4A16.4B37.4B3.5B$39.2A62.4B51.4B10.3A55.2A.
A.A.A.A2.A15.4B37.4B7.2A$39.A.A62.4B51.4B8.A61.A.ABABAB16.4B37.4B8.A$
41.A4.2A57.4B51.4B7.2A60.A.AB2AB16.4B37.4B10.3A$37.4A.2A2.A2.A56.4B
51.4B3.5B61.AB.2B16.4B37.4B13.A$37.A2.A.A.A.A.2A57.4B51.4B2.3B66.3B
14.4B37.4B$39.BABABA.A40.2A19.4B51.9B7.2A56.4B6.2A4.4B37.4B$40.B2ABA.
A39.A.A20.4B51.8B8.A54.3B2AB6.A4.4B37.4B$41.2B.BA34.2A4.A23.4B51.10B
3.B.A.2A51.3B2AB3.BA.A3.4B37.4B$40.3B35.A2.A2.2A.4A20.4B50.7B2A2B.B3A
2.A49.10B.B2A3.4B37.4B$31.2A6.4B35.2A.A.A.A.A2.A21.4B49.7B2A3BAB2.2A
49.13B4.4B37.4B$32.A6.B2A3B36.A.ABABAB24.4B48.12B4A50.14B3.4B37.4B$
32.A.AB3.B2A3B36.A.AB2AB26.4B45.2AB.7B3.2B.A49.15B2.4B37.4B$33.2AB.
10B35.AB.2B28.4B43.A.AB.7B2.B3A49.4B2.8B3.4B37.4B$35.13B37.3B28.4B42.
A5.4B4.A51.4B5.6B2.4B37.4B$35.14B36.4B6.2A20.4B40.2A5.4B5.5A45.4B4.6B
3C4B37.4B$35.15B33.3B2AB6.A22.4B45.4B10.A44.4B5.2A4.C5B37.4B$37.8B2.
4B32.3B2AB3.BA.A23.4B43.4B9.A45.4B7.A5.C3B37.4B$36.7B5.4B29.10B.B2A
25.4B41.4B10.2A43.4B5.3A5.6B35.4B$35.10B4.4B27.13B28.4B10.2A27.4B55.
4B6.A6.8B33.4B$35.4B4.2A5.4B25.14B29.4B9.A27.4B55.4B13.4B2.4B31.4B$
34.4B5.A7.4B23.15B30.4B10.A24.4B55.4B13.4B4.4B29.4B$33.4B7.3A5.4B21.
4B2.8B26.2A5.4B5.5A23.4B55.4B13.4B6.4B27.4B$32.4B10.A6.4B19.4B5.6B27.
A5.4B4.A27.4B55.4B13.4B8.4B25.4B$20.2E3.2E4.4B19.4B17.4B4.9B26.A.AB.
7B2.B3A23.4B55.4B13.4B10.4B23.4B$20.2E2.B2E3.4B21.4B15.4B5.2A4.4B26.
2AB.7B3.2B.A21.4B55.4B13.4B12.4B21.4B$20.13B23.4B13.4B7.A5.4B27.12B4A
20.4B55.4B13.4B14.4B19.4B$21.11B25.4B11.4B5.3A7.4B26.7B2A3BAB2.2A17.
4B55.4B13.4B16.4B17.4B$19.4B2E6B27.4B9.4B6.A10.4B25.7B2A2B.B3A2.A15.
4B55.4B13.4B18.4B15.4B$19.2E2BEBE5B28.4B7.4B19.4B24.10B3.B.A.2A14.4B
55.4B13.4B20.4B13.4B$19.2E3BE6B29.4B5.4B21.4B22.8B8.A16.4B55.4B13.4B
22.4B11.4B$20.10B31.4B3.4B23.4B20.9B7.2A15.4B55.4B13.4B24.4B9.4B$22.
6B34.4B.4B13.A11.4B18.4B2.3B24.4B55.4B13.4B26.4B7.4B$22.4B37.7B12.3A
12.4B16.4B3.5B21.4B55.4B13.4B28.4B5.4B$21.4B39.5B12.A16.4B14.4B7.2A
20.4B55.4B13.4B30.4B3.4B$20.4B40.5B11.B2A16.4B12.4B8.A20.4B55.4B13.4B
32.4B.4B$19.4B40.7B8.5B17.4B10.4B10.3A16.4B55.4B13.4B34.7B$18.4B40.4B
.4B7.3B3.4B13.4B8.4B13.A15.4B55.4B13.4B36.5B$17.4B40.4B3.4B3.6B2.6B
13.4B6.4B29.4B55.4B13.4B37.5B$16.4B40.4B5.4B.16B13.4B4.4B29.4B55.4B
13.4B37.7B$3.2A10.4B40.4B7.21B13.4B2.4B29.4B55.4B13.4B37.4B.4B$4.A9.
4B40.4B8.13B.8B13.8B29.4B55.4B13.4B37.4B3.4B$2.A10.4B40.4B9.23B13.6B
29.4B55.4B13.4B37.4B5.4B$2.5A4.5B5.2A33.4B9.19B2.4B13.4B29.4B55.4B13.
4B37.4B7.4B$7.A3.5B5.A19.A13.4B9.21B2.4B11.6B27.4B55.4B13.4B37.4B9.4B
$4.3AB2.7B.BA.A19.3A10.4B9.2A20B3.4B9.8B25.4B55.4B13.4B37.4B11.4B$3.A
.2B3.7B.B2A23.A8.4B10.2A19B5.4B7.4B2.4B23.4B55.4B13.4B37.4B13.4B$3.4A
12B24.2A7.4B12.17B9.4B5.4B4.4B21.4B55.4B13.4B37.4B15.4B$.2A2.BA3B2A7B
24.5B3.4B14.16B4.B5.4B3.4B6.4B19.4B55.4B13.4B37.4B17.4B$A2.3AB.2B2A7B
26.3B2.4B15.18B.B2A5.4B.4B8.4B17.4B55.4B13.4B37.4B19.4B$2A.A.B3.10B
16.2A7.9B17.8B2A9B2A6.7B10.4B15.4B55.4B13.4B37.4B4.2A15.4B$3.A8.8B15.
A8.8B17.8BA2BA7B.B8.5B12.4B13.4B55.4B13.4B37.4B5.A.A15.4B$3.2A7.9B11.
2A.A.B3.10B17.10BABA7B10.5B13.4B11.4B55.4B13.4B37.4B8.A4.2A10.4B$13.
3B2.4B10.A2.3AB.2B2A7B17.11BA8B9.7B13.4B9.4B55.4B13.4B37.4B5.4A.2A2.A
2.A9.4B$11.5B3.4B10.2A2.BA3B2A7B18.18B9.4B.4B13.4B7.4B55.4B13.4B37.4B
6.A2.A.A.A.A.2A10.4B$11.2A7.4B11.4A12B18.17B9.4B3.4B13.4B5.4B55.4B13.
4B37.4B9.BABABA.A14.4B$12.A8.4B10.A.2B3.7B.B2A15.17B9.4B5.4B13.4B3.4B
55.4B13.4B37.4B11.B2ABA.A15.4B$9.3A10.4B10.3AB2.7B.BA.A12.A.2AB.14B7.
4B7.4B13.4B.4B55.4B13.4B37.4B13.2B.BA17.4B$9.A13.4B12.A4.4B5.A10.3AB
2AB5.B2.B2.B2AB6.4B9.4B13.7B38.B16.4B13.4B37.4B13.3B21.4B$24.4B6.5A5.
4B5.2A8.A4.B6.3B5.2A6.4B11.4B12.6B55.4B13.4B37.4B5.2A6.4B22.4B$25.4B
5.A10.4B15.3A.2A5.B2AB11.4B13.4B11.5B55.4B13.4B37.4B7.A6.B2A3B21.4B$
26.4B6.A9.4B16.A.A7.2A11.4B15.4B8.B.5B54.4B13.4B37.4B8.A.AB3.B2A3B22.
4B$27.4B4.2A10.4B15.A.A19.4B17.4B6.2A7B52.4B13.4B37.4B10.2AB.10B21.4B
$28.4B16.4B15.A19.4B19.4B5.2A7B51.4B13.4B37.4B13.13B21.4B$29.4B16.4B
21.2A10.4B21.4B5.B.5B51.4B13.4B37.4B14.14B21.4B$30.4B16.4B21.A9.4B23.
4B6.5B50.4B13.CBCB37.4B15.15B21.4B$31.4B16.4B18.A10.4B25.4B5.6B48.4B
13.B2CB37.4B18.8B2.4B21.4B$32.4B16.4B17.5A5.4B5.2A20.4B4.7B46.4B13.3B
C37.4B19.6B5.4B21.4B$33.4B16.4B21.A4.4B5.A22.4B2.4B.4B44.4B13.4B37.4B
19.9B4.4B21.4B$34.4B16.4B17.3AB2.7B.BA.A23.8B3.4B42.4B13.4B37.4B19.4B
4.2A5.4B21.4B$35.4B16.4B15.A.2B3.7B.B2A25.6B5.4B40.4B13.4B37.4B19.4B
5.A7.4B21.4B$36.4B16.4B14.4A12B28.4B7.4B38.4B13.4B37.4B19.4B7.3A5.4B
21.4B$37.4B16.4B11.2A2.BA3B2A7B27.6B7.4B36.4B13.4B37.4B19.4B10.A6.4B
21.4B$38.4B16.4B9.A2.3AB.2B2A7B26.8B7.4B34.4B13.4B37.4B19.4B19.4B21.
4B$39.4B16.4B8.2A.A.B3.10B25.4B2.4B7.4B32.4B13.4B37.4B19.4B21.4B21.4B
$40.4B16.4B10.A8.8B23.4B4.4B7.4B30.4B13.4B37.4B19.4B23.4B21.4B$41.4B
16.4B9.2A7.9B21.4B6.4B7.4B28.4B13.4B37.4B19.4B25.4B21.4B$42.4B16.4B
18.3B2.4B19.4B8.4B7.4B7.B18.4B13.4B37.4B19.4B27.4B21.4B$43.4B16.4B15.
5B3.4B6.A10.4B10.4B7.4B5.4B7.2B6.4B13.4B37.4B19.4B29.4B21.4B$44.4B16.
4B14.2A7.4B5.3A7.4B12.4B7.4B2.6B2.8B4.4B13.4B37.4B19.4B31.4B21.4B$45.
4B16.4B14.A8.4B7.A5.4B14.4B7.21B3.4B13.4B37.4B19.4B33.4B21.4B$46.4B
16.4B10.3A10.4B5.2A4.4B16.4B7.19B3.4B13.4B37.4B19.4B35.4B21.4B$47.4B
16.4B9.A13.4B4.9B18.4B6.19B2.6B11.4B37.4B19.4B37.4B21.4B$48.4B16.4B
23.4B5.6B20.4B5.29B8.4B37.4B19.4B39.4B21.4B$49.4B16.4B23.4B2.8B21.4B
4.30B6.4B37.4B19.4B41.4B21.4B$50.4B16.4B23.15B20.4B2.31B5.4B37.4B19.
4B43.4B21.4B$51.4B16.4B23.14B21.35B5.4B37.4B19.4B45.4B21.4B$52.4B16.
4B23.13B22.37B.4B37.4B19.4B47.4B21.4B$53.4B16.4B23.10B.B2A20.41B37.4B
19.4B49.4B21.4B$54.4B16.4B24.3B2AB3.BA.A18.41B37.4B19.4B51.4B21.4B$
55.4B16.4B23.3B2AB6.A17.41B37.4B19.4B53.4B21.4B$56.4B16.4B24.4B6.2A
15.4B.37B36.4B19.4B55.4B21.4B$57.4B16.4B23.3B23.4B2.36B36.4B19.4B57.
4B21.4B$58.4B16.4B19.AB.2B23.4B4.35B35.4B19.4B59.4B21.4B$59.4B16.4B
17.A.AB2AB21.4B5.21B4.9B35.4B19.4B61.4B21.4B$60.4B16.4B16.A.ABABAB19.
4B7.B2.18B3.6B37.4B19.4B63.4B21.4B$61.4B16.4B12.2A.A.A.A.A2.A16.4B12.
17B2.8B35.4B19.4B65.4B21.4B$62.4B16.4B11.A2.A2.2A.4A15.4B11.D3.15B2.
9B33.4B19.4B67.4B21.4B$63.4B16.4B12.2A4.A18.4B13.D3.15B.10B31.4B19.4B
69.4B21.4B$64.4B16.4B17.A.A15.4B15.D3.15B.10B29.4B19.4B71.4B21.4B$65.
4B16.4B17.2A14.4B17.D3.20B2.4B27.4B19.4B73.4B21.4B$66.4B16.4B31.4B8.
12D2.20B3.4B25.4B19.4B75.4B21.4B$67.4B16.4B29.4B19.D2.22B3.4B23.4B19.
4B77.4B21.4B$68.4B16.4B27.4B19.D2.23B4.4B21.4B19.4B79.4B21.4B$69.4B
16.4B25.4B19.D2.24B5.4B19.4B19.4B81.4B21.4B$70.4B16.4B23.4B19.D2.11BC
14B5.4B17.4B19.4B83.4B21.4B$71.4B16.4B21.4B22.4B.8B2C12B6.4B15.4B19.
4B85.4B21.4B10.2A$72.4B16.4B19.4B22.4B2.7B2C14B.3B2.4B13.4B19.4B87.4B
21.4B9.A$73.4B16.4B17.4B22.4B4.2B4.20B.6B11.4B19.4B89.4B21.4B10.A$74.
4B16.4B15.4B22.4B11.28B9.4B19.4B91.4B14.2A5.4B5.5A$75.4B16.4B13.4B22.
4B11.6B.23B7.4B19.4B93.4B11.A2.A5.4B4.A$76.4B16.4B11.4B22.4B12.B3CB3.
23B5.4B19.4B95.4B10.2A.A.AB.7B2.B3A$77.4B16.4B9.4B22.4B13.3BCB3.24B3.
4B19.4B97.4B11.A.2AB.7B3.2B.A$78.4B16.4B7.4B22.4B13.3BC.2B2.25B.4B19.
4B99.4B10.A3.12B4A$79.4B16.4B5.4B22.4B13.8B2.29B19.4B101.4B7.3A3.7B2A
3BAB2.2A$80.4B16.4B3.4B22.4B13.39B19.4B103.4B5.A6.7B2A2B.B3A2.A$81.4B
16.4B.4B22.4B13.40B18.4B105.4B4.2A5.10B3.B.A.2A$82.4B16.7B22.4B13.4B.
37B16.4B107.9B4.8B8.A$83.4B6.A9.5B22.4B13.4B2.33B.4B14.4B109.6B5.9B7.
2A$84.4B5.3A7.5B21.4B13.4B4.31B3.4B12.4B110.8B2.4B2.3B$85.4B7.A5.7B
19.4B13.4B6.28B6.4B10.4B109.15B3.5B$86.4B5.2A4.4B.4B17.4B13.4B11.B5.
17B8.4B8.4B110.14B7.2A$87.4B4.9B3.4B15.4B13.4B5.2A12.16B9.4B6.4B111.
13B8.A$88.4B5.6B5.4B13.4B14.3B5.B2AB11.16B10.4B4.4B110.2AB.10B10.3A$
89.4B2.8B6.4B11.4B14.4B.2B3.2B14.14B11.4B2.4B110.A.AB3.B2A4B13.A$90.
15B5.4B9.4B15.8B3.4B14.12B11.8B111.A6.B2A3B$91.14B6.4B7.4B14.10B2.6B
14.6B2.4B11.6B11.A99.2A6.4B$92.13B7.4B5.4B15.10B2.7B.2B10.4B5.4B11.4B
10.3A108.3B$93.10B.B2A6.4B3.4B11.2A3.21B2A11.B7.4B9.6B8.A112.2B.BA$
93.5B2AB3.BA.A6.4B.4B13.A4.3B.16B2A20.4B7.8B7.2A110.B2ABA.A$95.3B2AB
6.A7.7B14.A.AB2.20B22.4B5.4B2.4B3.5B109.BABABA.A$97.4B6.2A7.5B16.2AB
2.19B24.4B3.4B4.4B2.3B109.A2.A.A.A.A.2A$97.3B16.5B17.16B2A5B25.4B.4B
6.9B7.2A99.4A.2A2.A2.A$94.AB.2B16.7B17.14BA2BA5B25.7B8.8B8.A103.A4.2A
$93.A.AB2AB14.4B.4B16.14BABA5B2.B24.6B9.10B3.B.A.2A98.A.A$93.A.ABABAB
12.4B3.4B17.13BA6B.B2A24.5B9.7B2A2B.B3A2.A98.2A$90.2A.A.A.A.A2.A9.4B
5.4B16.22B2A24.5B.B7.7B2A3BAB2.2A$90.A2.A2.2A.4A8.4B7.4B15.20B.2B24.
7B2A6.12B4A$92.2A4.A11.4B9.4B10.A4.19B27.7B2A4.2AB.7B3.2B.A$98.A.A8.
4B11.4B7.3A5.18B28.5B.B4.A.AB.7B2.B3A$99.2A7.4B13.4B5.A7.19B28.5B6.A
5.4B4.A$107.4B15.4B4.2A5.19B28.6B5.2A5.4B5.5A$106.4B17.9B4.22B25.7B
11.4B10.A$105.4B19.6B5.4B3.7B.6B2A.A22.4B.4B9.4B9.A$104.4B20.8B2.4B5.
B2AB4.2B2.B2AB3A19.4B3.4B7.4B10.2A$103.4B19.15B7.2A11.B4.A17.4B5.4B5.
4B$102.4B20.14B20.2A.3A17.4B7.4B3.4B$101.4B21.13B22.A.A18.4B9.4B.4B$
100.4B20.2AB.10B23.A.A17.4B11.7B$99.4B20.A.AB3.B2A4B25.A17.4B13.5B$
98.4B21.A6.B2A3B43.4B14.5B$97.4B21.2A6.4B44.4B14.7B$96.4B31.3B43.4B
14.4B.4B$95.4B33.2B.BA39.4B14.4B3.4B$94.4B33.B2ABA.A37.4B14.4B5.4B$
93.4B33.BABABA.A36.4B14.4B7.4B$92.4B32.A2.A.A.A.A.2A32.4B14.4B9.4B$
91.4B33.4A.2A2.A2.A31.4B14.4B11.4B$90.4B38.A4.2A32.4B14.4B13.4B$89.4B
37.A.A37.4B14.4B15.4B$88.4B38.2A37.4B14.4B17.4B$87.4B77.4B14.4B19.4B$
86.4B77.4B14.4B21.4B$85.4B77.4B14.4B23.4B$84.4B77.4B14.4B25.4B$83.4B
77.4B14.4B27.4B$82.4B77.4B14.4B29.4B$81.4B77.4B14.4B31.4B$80.4B77.4B
14.4B33.4B$79.4B77.4B14.4B35.4B$78.4B77.4B14.4B37.4B$77.4B77.4B14.4B
39.4B$76.4B77.4B14.4B41.4B$75.4B77.4B14.4B43.4B$74.4B77.4B14.4B45.4B$
73.4B77.4B14.4B47.4B$72.4B77.4B14.4B49.4B$71.4B77.4B14.4B51.4B$70.4B
77.4B14.4B53.4B$69.4B77.4B14.4B55.4B$68.C3B77.4B14.4B57.4B$67.B2CB77.
4B14.4B59.4B$66.BCBC77.4B14.4B61.4B$53.2A10.4B77.4B14.4B63.4B$54.A9.
4B77.4B14.4B65.4B$52.A10.4B77.4B14.4B67.4B$52.5A5.4B5.2A70.4B14.4B69.
4B$57.A4.4B5.A70.3CB14.4B71.4B$54.3AB2.7B.BA.A69.3BC14.4B73.4B$53.A.
2B3.7B.B2A69.3BC14.4B75.4B$53.4A12B70.4B14.4B77.4B$51.2A2.BA3B2A7B69.
4B14.4B79.4B$50.A2.3AB.2B2A7B68.4B14.4B81.4B$50.2A.A.B3.10B55.2A10.4B
14.4B83.4B$53.A8.8B55.A9.4B14.4B85.4B$53.2A7.9B52.A10.4B14.4B87.4B$
63.3B2.4B51.5A5.4B5.2A7.4B89.4B$61.5B3.4B55.A4.4B5.A7.4B91.4B$61.2A7.
4B51.3AB2.7B.BA.A6.4B93.4B$62.A8.4B49.A.2B3.7B.B2A6.4B95.4B$59.3A10.
4B48.4A12B7.4B97.4B$59.A13.4B45.2A2.BA3B2A7B6.4B99.4B$74.4B43.A2.3AB.
2B2A7B5.4B101.4B$75.4B42.2A.A.B3.10B4.4B103.4B$76.4B44.A8.8B2.4B105.
4B$77.4B43.2A7.13B107.4B$78.4B52.3B2.6B109.4B$79.4B49.5B3.4B111.4B$
80.4B48.2A5.6B111.4B$81.4B48.A4.8B111.4B$82.4B44.3A4.4B2.4B111.4B$83.
4B43.A5.4B4.4B111.4B$84.4B47.4B6.4B111.4B$85.4B45.4B8.4B111.4B$86.4B
43.4B10.4B111.4B$87.4B41.4B12.4B111.4B13.A$88.4B39.4B14.4B111.4B10.3A
$89.4B37.4B16.4B111.4B8.A$90.4B35.4B18.4B111.4B7.2A$91.4B33.4B20.4B
111.4B3.5B$92.4B31.4B22.4B111.4B2.3B$93.4B29.4B24.4B111.9B7.2A$94.4B
27.4B26.4B111.8B8.A$95.4B25.4B28.4B111.10B3.B.A.2A$96.4B23.4B30.4B
110.7B2A2B.B3A2.A$97.4B21.4B32.4B109.7B2A3BAB2.2A$98.4B19.4B34.4B108.
12B4A$99.4B6.A10.4B36.4B105.2AB.7B3.2B.A$100.4B5.3A7.4B38.4B103.A.AB.
7B2.B3A$101.4B7.A5.4B40.4B102.A5.4B4.A$102.4B5.2A4.4B42.4B100.2A5.4B
5.5A$103.4B4.9B44.4B105.4B10.A$104.4B5.6B46.4B103.4B9.A$105.4B2.8B47.
4B101.4B10.2A$106.15B46.4B99.4B$107.14B47.4B97.4B$108.13B48.4B95.4B$
109.10B.B2A47.4B93.4B$111.3B2AB3.BA.A47.4B91.4B$111.3B2AB6.A48.4B89.
4B$113.4B6.2A48.4B87.4B$113.3B58.4B85.4B$110.AB.2B60.4B83.4B$109.A.AB
2AB60.4B81.4B$109.A.ABABAB60.4B79.4B$106.2A.A.A.A.A2.A59.4B77.4B$106.
A2.A2.2A.4A60.4B75.4B$108.2A4.A65.4B73.4B$114.A.A64.4B71.4B$115.2A65.
4B69.4B$183.4B67.4B$184.4B65.4B$185.4B63.4B$186.4B61.4B$187.4B59.4B$
188.4B57.4B$189.4B55.4B$190.4B53.4B$191.4B51.4B$192.4B49.4B$193.4B47.
4B$194.4B45.4B$195.4B43.4B$196.4B41.4B$197.4B39.4B$198.4B37.4B$199.4B
35.4B$200.4B33.4B$201.4B31.4B$202.4B29.4B$203.4B27.4B$204.4B25.4B$
205.4B23.4B$206.4B21.4B$207.4B19.4B$208.4B6.A10.4B$209.4B5.3A7.4B$
210.4B7.A5.4B$211.4B5.2A4.4B$212.4B4.9B$213.4B5.6B$214.4B2.8B$215.15B
$216.14B$217.13B$218.10B.B2A$220.3B2AB3.BA.A$220.3B2AB6.A$222.4B6.2A$
222.3B$219.AB.2B$218.A.AB2AB$218.A.ABABAB$215.2A.A.A.A.A2.A$215.A2.A
2.2A.4A$217.2A4.A$223.A.A$224.2A!
I don't think we currently have a way to slow down a signal by 2 mod 8, or by 1 mod 8, that's allowed by the original challenge. Right?

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 7th, 2020, 1:42 am
by pcallahan
dvgrn wrote: July 6th, 2020, 3:23 pm I don't think we currently have a way to slow down a signal by 2 mod 8, or by 1 mod 8, that's allowed by the original challenge. Right?
Components should be still lifes (ruling out the original cyclotron). The only thing I would consider "cheating" is a component that could produce an extra glider on its own, that was suppressed with an eater. But the simpler the better. If, hypothetically, there was a turning unit that produced an extra glider that was destroyed and completely unrecoverable under any circumstances, that would also be a lot less interesting even if you could make a technical case that it wasn't cheating. I think snarks, rectifiers, and blocks are all perfectly fine. The bandersnatch is also good.

Ideally, it would be good if there was at least one step per cycle when the gun was composed of only gliders and still life patterns, but I'm not sure Goldtiger997's meets this criterion.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 8th, 2020, 6:05 am
by dvgrn
pcallahan wrote: July 7th, 2020, 1:42 amI think snarks, rectifiers, and blocks are all perfectly fine...

Ideally, it would be good if there was at least one step per cycle when the gun was composed of only gliders and still life patterns, but I'm not sure Goldtiger997's meets this criterion.
Sorry, I shouldn't' have said "original challenge". Your question recently was whether a pattern similar to Goldtiger997's could now be completed with the rectifier removed from the toolkit but the Bandersnatch added. The answer seems to be "not quite", but there's probably something I'm not thinking of.

If the rectifier is added back in, the toolkit easily allows for universal adjustability. Here's the experimental single-engine cyclotron above, patched with extreme inelegance by adding a couple of rectifiers in the northeast to make a p1938 oscillator:

Code: Select all

x = 506, y = 555, rule = LifeHistory
81.2A$81.A.A$83.A4.2A$79.4A.2A2.A2.A$79.A2.A.A.A.A.2A$82.A.A.A.A$83.
2A.A.A$87.A2$73.2A$74.A7.2A28.A$74.A.A5.2A27.A.A$75.2A34.A.A$110.2A.
3A$98.2A16.A$98.2A10.2A.3A$110.2A.A3$85.2A$85.A$86.3A$88.A$113.2A$
104.A8.2A$103.A.A$103.A2.A$104.2A$87.2A361.2A$76.2A8.A.A360.A.A$76.2A
8.A24.2A330.2A4.A$85.2A24.2A328.A2.A2.2A.4A$441.2A.A.A.A.A2.A$444.A.A
.A.A$444.A.A.2A$59.2A24.2A358.A$60.A24.2A15.2A$60.A.A39.2A354.2A$61.
2A386.2A7.A$78.2A369.2A5.A.A$77.A2.A375.2A$77.A.A$78.A8.2A$87.2A4$
446.2A$447.A$444.3A$84.2A.A356.A$50.2A20.2A10.2A.3A$51.A20.2A16.A$49.
A34.2A.3A$49.5A14.2A15.A.A$54.A13.A16.A.A386.2A$51.3A12.A.A17.A387.A$
50.A15.2A408.A$50.4A402.2A14.5A$48.2A3.A3.2A398.A13.A$47.A2.3A4.2A
398.A.A12.3A$47.2A.A407.2A15.A$50.A421.4A$50.2A415.2A3.A3.2A$467.2A4.
3A2.A$475.A.2A$58.2A415.A$59.A414.2A$56.3A$56.A$466.2A$466.A$467.3A$
469.A42$34.2A.A$34.A.2A2$35.5A$30.2A2.A4.A20.2A$30.A2.A2.A23.A$31.A.A
.2A21.A.A$30.2A.A5.A18.2A$33.A4.A.A$33.2A2.A2.A$38.2A$69.2A$69.A$67.A
.A$67.2A2$49.2A$49.2A11$202.C$59.A140.C.C$58.A.A140.2C$58.A.A$59.A4$
64.2A$64.2A5$55.2A24.2A$55.2A24.A$79.A.A$79.2A220.2A$62.2A236.A.A$61.
A2.A229.2A4.A$62.A.A171.A55.A2.A2.2A.4A$53.2A8.A170.3A55.2A.A.A.A.A2.
A$53.2A178.A61.A.A.A.A$233.2A60.A.A.2A$296.A2$149.2A90.2A66.2A$148.A.
A91.A57.2A7.A$142.2A4.A93.A.2A54.2A5.A.A$54.A.2A82.A2.A2.2A.4A81.2A4.
3A2.A61.2A$52.3A.2A10.2A20.2A48.2A.A.A.A.A2.A81.2A3.A3.2A$51.A16.2A
20.A52.A.A.A.A89.4A$52.3A.2A34.A50.A.A.2A76.2A15.A$54.A.A15.2A14.5A
51.A79.A.A12.3A$54.A.A16.A13.A136.A13.A$55.A17.A.A12.3A66.2A64.2A14.
5A59.3C$74.2A15.A56.2A7.A85.A53.2A4.C$88.4A56.2A5.A.A83.A56.A5.C$83.
2A3.A3.2A61.2A84.2A52.3A$83.2A4.3A2.A102.2A96.A$91.A.2A102.A$91.A107.
A$90.2A87.2A14.5A$180.A13.A$180.A.A12.3A$82.2A61.2A34.2A15.A$82.A63.A
48.4A$83.3A57.3A44.2A3.A3.2A$85.A57.A46.2A4.3A2.A$198.A.2A$198.A$197.
2A$146.A$144.3A$143.A45.2A$143.2A44.A$80.2A108.3A$79.A.A110.A$73.2A4.
A$71.A2.A2.2A.4A$71.2A.A.A.A.A2.A$74.A.A.A.A$74.A.A.2A$75.A2$88.2A39.
2A$79.2A7.A40.2A$79.2A5.A.A$55.A30.2A$55.3A93.2A$58.A81.2A9.2A167.2A$
57.2A80.A2.A177.A.A$140.A.A179.A4.2A$141.A176.4A.2A2.A2.A$318.A2.A.A.
A.A.2A$76.2A243.A.A.A.A$77.A244.2A.A.A$74.3A51.A.2A194.A$74.A51.3A.2A
13.2A$125.A19.2A165.2A$24.A101.3A.2A6.2A173.A7.2A$24.3A44.2A55.A.A7.
2A173.A.A5.2A$27.A43.2A55.A.A50.2A131.2A$26.2A101.A51.2A$136.2A$49.2A
86.A118.C.C$49.2A9.2A73.A120.2C$59.A2.A72.5A14.2A101.C$59.A.A78.A13.A
$17.A42.A76.3A12.A.A169.2A$17.3A23.2A91.A15.2A170.A$20.A21.A2.A90.4A
185.3A$19.2A22.2A89.2A3.A3.2A182.A$70.2A.A59.A2.3A4.2A$55.2A13.2A.3A
57.2A.A$55.2A19.A59.A$62.2A6.2A.3A60.2A$62.2A7.A.A$71.A.A88.A$72.A71.
2A16.3A$29.2A114.A19.A$29.2A111.3A19.2A$142.A6$174.2A$167.2A5.A.A$21.
2A144.2A7.A$16.2A2.A2.A152.2A$16.A4.A.A$13.2A.A5.A140.A$14.A.A.2A142.
A.A.2A$13.A2.A2.A142.A.A.A.A$13.2A2.A4.A136.2A.A.A.A.A2.A$18.5A136.A
2.A2.2A.4A$161.2A4.A$17.A.2A146.A.A$17.2A.A147.2A5$216.C$217.2C$216.
2C4$216.3C$218.C$217.C5$155.A$155.3A$158.A$157.2A$214.2A$214.2A3$274.
A$272.3A$167.2A28.2A24.2A46.A$160.2A5.A.A28.A24.2A46.2A$160.2A7.A28.A
.A$169.2A28.2A$216.2A61.2A$156.A58.A2.A61.A$155.A.A.2A54.A.A62.A.2A$
155.A.A.A.A54.A8.2A45.2A4.3A2.A$152.2A.A.A.A.A2.A60.2A45.2A3.A3.2A$
152.A2.A2.2A.4A92.2A18.4A$9.A144.2A4.A96.2A4.2A15.A$9.3A148.A.A99.A.A
12.3A$12.A148.2A99.A13.A$11.2A248.2A14.5A$281.A$222.2A.A53.A$3.2A205.
2A10.2A.3A51.2A$3.A206.2A16.A$2A.A218.2A.3A$A2.3A4.2A211.A.A$.2A3.A3.
2A211.A.A$3.4A217.A$3.A15.2A$4.3A12.A.A$7.A13.A$2.5A14.2A$2.A$4.A$3.
2A24$130.C$130.2C$129.C.C5$204.3C$206.C$205.C4$186.2A$187.A$185.A$
185.5A14.2A$190.A13.A$187.3A12.A.A$186.A15.2A$186.4A311.2A$184.2A3.A
3.2A306.A$183.A2.3A4.2A308.A$183.2A.A296.2A14.5A$186.A294.A2.A13.A$
186.2A293.2A.A.A12.3A$483.A.2A15.A$483.A15.4A$194.2A285.3A10.2A3.A3.
2A$195.A284.A13.2A4.3A2.A$192.3A285.2A20.A.2A$192.A309.A$501.2A3$493.
2A$493.A$470.2A22.3A$469.A.A5.2A17.A$469.A7.2A$468.2A2$482.A$478.2A.A
.A$477.A.A.A.A$474.A2.A.A.A.A.2A$474.4A.2A2.A2.A$478.A4.2A$476.A.A$
476.2A3$105.A$103.3A$102.A$102.2A7$92.2A$91.A.A5.2A$91.A7.2A$90.2A2$
104.A$100.2A.A.A$99.A.A.A.A$96.A2.A.A.A.A.2A$96.4A.2A2.A2.A$100.A4.2A
$98.A.A$98.2A23$21.2A$22.A$20.A$20.5A14.2A$25.A13.A$22.3A12.A.A$21.A
15.2A$21.4A$19.2A3.A3.2A$18.A2.3A4.2A$18.2A.A$21.A$21.2A3$29.2A$30.A$
27.3A$27.A14$436.A$434.3A$433.A$433.2A3$441.2A$442.A$442.A.2A$434.2A
4.3A2.A$434.2A3.A3.2A$439.4A$77.A347.2A15.A$77.3A344.A.A12.3A$80.A
343.A13.A$79.2A342.2A14.5A$443.A$441.A$441.2A4$89.2A$82.2A5.A.A$82.2A
7.A$91.2A2$78.A$77.A.A.2A$77.A.A.A.A$74.2A.A.A.A.A2.A$74.A2.A2.2A.4A$
76.2A4.A$82.A.A$83.2A26$374.A$374.3A$377.A$376.2A7$386.2A$379.2A5.A.A
$379.2A7.A$388.2A2$375.A$374.A.A.2A$374.A.A.A.A$371.2A.A.A.A.A2.A$
371.A2.A2.2A.4A$373.2A4.A$379.A.A$380.2A!
With rectifiers included, the right way to do this would be to rescue the suppressed glider output the way Goldtiger997's pattern does, instead of using up a glider on it.

Another idea would be to start a fresh search for a base reaction. The old "Blockic splitter" search by knightlife was able to turn up constellations of blocks that produced more gliders than blocks, when hit by a single glider. The ratio got to 1:57 to 1, it looks like -- would just have to make it to above 2 to theoretically have excess gliders. It's possible to get arbitrarily high ratios using a reburnable fuse but those constellations are huge and the gliders aren't particularly re-usable in a cyclotron mechanism.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 8th, 2020, 10:49 am
by pcallahan
dvgrn wrote: July 8th, 2020, 6:05 am Your question recently was whether a pattern similar to Goldtiger997's could now be completed with the rectifier removed from the toolkit but the Bandersnatch added.
Oops, I guess it was. There are a lot of other question, like whether the size or number of glider-producing reactions can be reduced just by adding the new component.
Another idea would be to start a fresh search for a base reaction.
I no longer remember how I went about this search or if I found anything else promising. I could reread my own comments on this thread, but I may have omitted some findings.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 8th, 2020, 11:20 am
by dvgrn
pcallahan wrote: July 8th, 2020, 10:49 am
Another idea would be to start a fresh search for a base reaction.
I no longer remember how I went about this search or if I found anything else promising. I could reread my own comments on this thread, but I may have omitted some findings.
Seems like out there somewhere in the Space of the Possible there's bound to be a catalyzed 3G collision that produces 4G directly, without opening any universal signal-circuitry doors by creating Bs, Rs, Herschels, etc. Could maybe just start by looking for the 3G collision that produces the most gliders starting from the least junk.

I'll leave that for someone else to try if they want; it would be a small change to the code I wrote to look for 3Gs with no junk and some number of output gliders. All it found was 1328 3G->1G and 67 3G->2G.

Code: Select all

# pure-glider-generator-finder.py
# get 3-glider collision database from
#   https://conwaylife.com/forums/viewtopic.php?p=55572#p55572
# (decompress the ZIP file, and point the path below to the location of 3gdata.txt)

import golly as g
g.setrule("B3/S23")

output_fname_base = "YOUR/PATH/HERE/3gdata/G"
count, match = 0,0
with open ("YOUR/PATH/HERE/3gdata/3gdata.txt","r") as f:
  for line in f:
    count +=1
    rle = line.split(":")[1]
    g.new("Test" + str(count))
    g.putcells(g.parse(rle))
    r = g.getrect()
    g.run(4096)
    remainder = g.getcells([r[0]-128,r[1]-128,r[2]+256,r[3]+256])

    if len(remainder) == 0:
      pop = int(g.getpop())
      if pop !=0:
        justgliders=1
        if pop % 5 == 0:
          for test in range(4):
            g.run(1)
            pop = int(g.getpop())
            if pop % 5 != 0:
              justgliders = 0
          # population only remains a multiple of 10 for 3 ticks at most if it's not a glider
          #  (and that's only in LeapLife anyway...)
        else:
          justgliders = 0
        if justgliders == 1:
          # These next three lines write a pattern to the chosen output file,
          #   so they should only be executed if a pattern passes the test
          with open(output_fname_base + str(pop/5) + ".rle","a") as outf:
            outf.write(rle)
            match += 1
            g.show(str([match,count]))
    if count % 1000 == 0:
      g.show(str([match,count]))
Another possible tool to add to the toolkit would be the glider-to-block mechanism, which could rebuild a block with just one glider -- with no need for precise synchronization -- provided it was right on the edge of the reaction envelope:

Code: Select all

x = 54, y = 35, rule = LifeHistory
51.3B$50.4B$49.4B$48.A3B$48.ABA$48.2A$7.4B$8.4B$9.4B11.A$10.4B8.3A$
11.4B6.A$12.4B5.2A$13.3BA.5B$14.ABA4B$15.2A5B$16.6BAB$10.B3.7BABAB$9.
2AB.8B2A4B$9.2A16B$10.15B2D$11.B2.11B2D$15.12B$18.6B.2B$16.8B$16.2A4.
B$17.A4.2A$14.3A6.A$14.A5.3A$20.A$40.A$39.2AB$39.ABAB$40.4B$41.4B$42.
4B!
... The above shows a sample "useless use" of the mechanism, to create a pi to move a glider over by two lanes. If blocks can be sacrificed like this to produce a lot of output gliders, that might make for a fairly easy cyclotron-ish device.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 8th, 2020, 12:26 pm
by pcallahan
Here's a 4g to 6g based on an unstabilized bandersnatch:

Code: Select all

x = 125, y = 100, rule = B3/S23
10$99bo$97b2o$98b2o29$33bo$34bo$32b3o13$26bo$25bobo$25bobo$23b3ob2o$
22bo16b2o$23b3ob2o10b2o$25bob2o7$24b2o$24b2o8bo$33bobo$32bo2bo$33b2o3$
26b2o$26b2o5$35b2o$35b2o2$73b2o7b2o$72bobo6b2o$74bo8bo!
I have no idea what it would take to get any mileage out of this (or if it breaks any of the rules I am making up as I go along, but I'll say it doesn't).

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 8th, 2020, 12:50 pm
by dvgrn
pcallahan wrote: July 8th, 2020, 12:26 pmI have no idea what it would take to get any mileage out of this (or if it breaks any of the rules I am making up as I go along, but I'll say it doesn't).
Sadly (but not very sadly) it looks like it has the same problem as the previous single-engine cyclotron, since it's mostly the same reaction.

With rectifiers not allowed, unless there's some clever way to suppress the red glider for free, that I'm not seeing, then one of the output gliders has to be used to suppress another of the output gliders to prevent a collision where the red arrow is pointing... which leaves you with a 4G->4G oscillator, not a gun:

Code: Select all

x = 168, y = 211, rule = LifeHistory
146.BC$145.2CB$144.2B2C$143.4B$142.4B$141.4B$140.4B$139.4B$138.4B$
137.4B$136.4B$135.4B$134.4B$133.4B$132.4B$131.4B$130.4B$129.4B$128.4B
$127.4B$126.4B$125.4B$124.4B$123.4B$122.4B39.2A$121.4B39.2B2A$120.4B
39.2BAB$119.4B39.4B$118.4B39.4B$117.4B39.4B$116.4B39.4B$.C113.4B39.4B
$2BC111.4B39.4B$3CB109.4B39.4B$.4B107.4B39.4B$2.4B39.2A64.4B39.4B$3.
4B38.ABA62.4B39.4B$4.4B37.A3B60.4B39.4B$5.4B37.4B58.4B39.4B$6.4B37.4B
56.4B39.4B$7.4B37.4B54.4B39.4B$8.4B37.4B52.4B39.4B$9.4B37.4B50.4B39.
4B$10.4B37.4B48.4B39.4B$11.4B37.4B46.4B39.4B$12.4B37.4B44.4B39.4B$13.
4B37.4B42.4B39.4B$14.4B37.4B40.4B39.4B$15.4B37.4B38.4B39.4B$16.4B37.
4B36.4B39.4B$17.4B37.4B34.4B39.4B$18.4B37.4B32.4B39.4B$19.4B37.4B30.
4B39.4B$20.4B37.4B28.4B39.4B$21.4B37.4B26.4B39.4B$22.4B37.4B24.4B39.
4B$23.4B37.4B22.4B39.4B$24.4B37.4B20.4B39.4B$25.4B37.4B18.4B39.4B$26.
4B37.4B16.4B39.4B$27.4B37.4B14.4B39.4B$28.4B37.4B12.4B39.4B$29.4B37.
4B10.4B39.4B$30.4B37.4B8.4B39.4B$31.4B37.4B6.4B39.4B$32.4B37.4B4.4B
39.4B$33.4B37.4B2.4B39.4B$34.4B37.8B39.4B$35.4B37.6B39.4B$36.4B37.4B
39.4B$37.4B35.6B37.4B$38.4B33.8B35.4B$39.4B31.4B2.4B33.4B$40.4B29.4B
4.4B31.4B$41.4B27.4B6.4B29.4B$42.4B25.4B8.4B27.4B$43.4B23.4B10.4B25.
4B$44.4B21.4B12.4B23.4B$45.4B19.4B14.4B21.4B$46.4B17.4B16.4B19.4B$47.
4B15.4B18.4B17.4B$48.4B13.4B20.4B15.4B$49.4B11.4B22.4B13.4B$50.4B9.4B
24.4B11.4B$51.4B7.4B26.4B9.4B$52.4B5.4B25.7B7.4B$34.A18.4B3.4B24.9B6.
4B$33.A.A18.4B.4B24.2B3A6B4.4B$33.A.A19.7B26.3BA13B$31.3A.2A19.5B26.
3BA13B$30.A4.B11.2A7.5B25.17B$31.3AB2AB2.2B4.B2AB5.7B23.18B$33.A.2A6B
.7B3.4B.4B21.20B$35.22B3.4B19.21B$37.19B5.4B17.23B$36.21B5.4B15.4B.
20B$36.21B6.4B13.25B$36.21B7.5B10.4B.21B$33.2B.22B7.6B7.4B2.19B$32.2A
25B5.8B5.4B4.17B$32.2AB.6BA17B4.8B4.4B4.18B$33.B2.5BABA16B.2B.8B3.4B
3.20B$35.5BA2BA28B2.4B.22B$36.5B2A58B$36.22B.40B$35.23B.39B$34.2A21B
2.39B$34.2A21B2.39B$35.2B.7B2.10B3.12B.3B.21B$39.6B2.10B5.9B5.12B4.6B
$40.4B3.10B4.10B4.12B5.7B$43.3B.9B4.11B.16B2.8B$42.B2A12B.40B$43.2AB.
43B.7B$44.B2.51B$50.47B$50.4B.30B2.9B$50.4B2.27B7.4B$51.2B3.26B9.4B$
57.24B11.4B$57.23B13.4B$55.24B15.4B$55.23B17.4B$54.23B19.4B$55.21B21.
4B$56.19B23.4B$56.18B25.4B$57.17B26.4B$57.16B28.4B$56.16B30.4B$55.17B
31.4B$54.4B4.11B31.4B$53.4B4.11B33.4B$52.4B4.10B36.4B$51.4B4.9B39.4B$
50.4B4.11B39.4B$49.4B4.BD5B2.4B39.4B$48.4B4.2D5B4.4B39.4B$47.4B6.2D3B
6.4B39.4B$46.4B7.4B8.4B39.4B$45.4B7.4B10.4B39.4B$44.4B7.4B12.4B39.4B$
43.4B7.4B14.4B39.4B$42.4B7.4B16.4B39.4B$41.4B7.4B18.4B39.4B$40.4B7.4B
20.4B39.4B$39.4B7.4B22.4B39.4B$38.4B7.4B24.4B39.4B$37.4B7.4B26.4B39.
4B$36.4B7.4B28.4B39.4B$35.4B7.4B30.4B39.4B$34.4B7.4B32.4B39.4B$33.4B
7.4B34.4B39.4B$32.4B7.4B36.4B39.4B$31.4B7.4B12.13D13.4B39.4B$30.4B7.
2C2B13.2D25.4B39.2B2C$29.4B7.CBCB14.D.D25.4B39.2CB$28.4B9.BC15.D2.D
25.4B39.BC$27.4B27.D3.D25.4B$26.4B28.D4.D25.4B$25.4B29.D5.D25.4B$24.
4B30.D6.D25.4B$23.4B31.D7.D25.4B$22.4B32.D8.D25.4B$21.4B33.D9.D25.4B$
20.ABAB34.D10.D25.4B$20.2AB35.D11.D25.4B$21.A36.D12.D25.4B$72.D25.4B$
73.D25.4B$74.D25.4B$75.D25.4B$76.D25.4B$103.4B$104.4B$105.4B$106.4B$
107.4B$108.4B$109.4B$110.4B$111.4B$112.4B$113.4B$114.4B$115.4B$116.4B
$117.4B$118.4B$119.4B$120.4B$121.4B$122.4B$123.4B$124.4B$125.4B$126.
4B$127.4B$128.4B$129.4B$130.4B$131.4B$132.4B$133.4B$134.4B$135.4B$
136.4B$137.4B$138.3BA$139.3BA$140.3A!
As soon as you allow rectifiers into the mix, plus a rephaser block or two maybe, Goldtiger997's solution for this collision problem will turn this into a pretty nice single-engine cyclotron, I think.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 8th, 2020, 10:45 pm
by toroidalet
Here's a p1030 2-engine cyclotron:

Code: Select all

x = 564, y = 370, rule = LifeHistory
450.4B50.2A$449.4B51.A.A$448.4B54.A4.2A$447.4B51.4A.2A2.A2.A$330.A
115.4B52.A2.A.A.A.A.2A$328.3A114.4B55.BABABA.A$327.A116.4B57.B2ABA.A$
327.2A114.4B59.2B.BA$442.4B59.3B$441.4B51.2A6.4B$335.2A103.4B53.A6.B
2A3B$336.A102.4B54.A.AB3.B2A3B$336.A.2A98.4B56.2AB.10B$328.2A4.3A2.A
97.4B59.13B$328.2A3.A3.2A97.4B60.14B$333.4A98.4B61.15B$319.2A15.A97.
4B64.8B2.4B25.A$318.A.A12.3A97.4B65.6B5.4B23.A.A$318.A13.A99.4B65.9B
4.4B22.A.A$317.2A14.5A93.4B65.4B4.2A5.4B20.2A.3A$337.A43.2A47.4B65.4B
5.A7.4B7.2A11.B4.A$335.A44.A.A46.4B65.4B7.3A5.4B5.B2AB4.2B2.B2AB3A$
335.2A37.2A4.A47.4B65.2A2B10.A6.4B3.7B.6B2A.A$372.A2.A2.2A.4A42.4B65.
2B2A19.22B$372.2A.A.A.A.A2.A41.4B65.2BAB21.19B$375.A.ABABAB42.4B65.4B
23.19B$375.A.AB2AB42.4B65.4B25.18B$206.2A168.AB.2B42.4B65.4B25.19B$
206.A.A170.3B40.4B65.4B25.20B.2B$208.A4.2A164.4B6.2A30.4B65.4B26.22B
2A$175.A28.4A.2A2.A2.A160.3B2AB6.A30.4B65.4B27.13BA6B.B2A$174.A.A27.A
2.A.A.A.A.2A160.3B2AB3.BA.A29.4B65.4B26.14BABA5B2.B$174.A.A7.2A20.BAB
ABA.A161.10B.B2A29.4B65.4B27.14BA2BA5B$172.3A.2A5.B2AB20.B2ABA.A160.
13B30.4B65.4B27.16B2A5B$171.A4.B6.3B5.2A15.2B.BA160.14B29.4B65.4B27.
2AB2.19B$172.3AB2AB5.B2.B2.B2AB13.3B162.15B28.4B65.4B27.A.AB2.20B$
174.A.2AB.14B4.2A6.4B161.4B2.8B29.4B65.4B28.A4.3B.16B2A$176.17B6.A6.B
2A3B158.4B5.5BA28.4B65.4B28.2A3.21B2A$177.17B5.A.AB3.B2A3B157.4B4.6B
2AB26.4B65.4B34.10B2.7B.2B$177.18B5.2AB.10B154.4B5.2A4.ABAB24.4B65.4B
35.10B2.6B$176.11BA8B6.13B152.4B7.A5.4B22.4B16.A48.4B38.8B3.4B$176.
10BABA7B6.14B150.4B5.3A7.4B20.4B16.A.A46.4B39.4B.2B3.2B$177.8BA2BA7B.
B4.15B148.4B6.A10.4B18.4B8.2A7.A.A45.4B41.3B5.B2AB$178.8B2A9B2A5.8B2.
4B146.4B19.4B16.4B8.B2AB5.2A.3A42.4B42.4B5.2A$177.18B.B2A5.6B5.4B144.
4B21.4B14.4B3.2A5.3B6.B4.A40.4B44.4B$143.A33.16B4.B5.9B4.4B142.4B23.
4B12.4B3.B2AB2.B2.B5.B2AB3A40.4B46.4B$142.A.A31.17B9.4B4.2A5.4B140.4B
25.4B10.4B4.14B.B2A.A41.4B48.4B$142.A.A7.2A21.2A19B5.4B5.A7.4B138.4B
27.4B8.4B6.17B42.4B50.4B$140.3A.2A5.B2AB20.2A20B3.4B7.3A5.4B136.4B29.
4B6.4B6.17B42.4B52.4B25.A$139.A4.B6.3B5.2A15.21B2.4B10.A6.4B134.4B31.
4B4.4B6.18B41.4B54.4B23.A.A$140.3AB2AB5.B2.B2.B2AB15.19B2.4B19.4B132.
4B33.4B2.4B6.8BA11B39.4B56.4B22.A.A$142.A.2AB.14B16.23B21.4B130.4B35.
8B7.7BABA10B38.4B58.4B20.2A.3A$144.17B17.13B.8B23.4B128.4B37.6B6.B.7B
A2BA8B38.4B60.4B7.2A11.B4.A$145.17B16.21B25.4B126.4B39.4B6.2A9B2A8B
38.4B62.4B5.B2AB4.2B2.B2AB3A$145.18B14.4B.15B28.4B124.4B39.6B5.2AB.
18B36.4B64.4B3.7B.6B2A.A$144.11BA8B12.4B3.6B2.4B31.4B122.4B39.8B5.B4.
16B23.2A10.4B66.22B$144.10BABA7B11.4B7.3B3.3B32.4B120.4B39.4B2.4B9.
17B23.A9.4B68.19B$145.8BA2BA7B.B8.4B8.5B37.4B118.4B39.4B4.4B5.19B2A
20.A10.4B70.19B$146.8B2A9B2A6.4B11.B2A38.4B116.4B39.4B6.4B3.20B2A20.
5A5.4B5.2A65.18B$145.18B.B2A5.4B13.A40.4B114.4B39.4B8.4B2.21B26.A4.4B
5.A65.19B$145.16B4.B5.4B15.3A38.4B112.4B39.4B10.4B2.19B24.3AB2.7B.BA.
A64.20B.2B$144.17B9.4B18.A39.4B110.4B39.4B12.23B24.A.2B3.7B.B2A65.22B
2A$143.2A19B5.4B60.4B108.4B39.4B14.8B.13B24.4A12B67.13BA6B.B2A$143.2A
20B3.4B62.4B106.4B39.4B16.21B22.2A2.BA3B2A7B65.14BABA5B2.B$144.21B2.
4B64.4B104.4B39.4B19.15B.4B20.A2.3AB.2B2A7B65.14BA2BA5B$145.19B2.4B
66.4B102.4B39.4B22.4B2.6B3.4B19.2A.A.B3.10B64.16B2A5B$146.23B68.4B
100.4B39.4B23.3B3.3B7.4B21.A8.8B62.2AB2.19B$146.13B.8B70.4B98.4B39.4B
28.5B8.4B20.2A7.9B60.A.AB2.20B$146.21B72.4B96.4B39.4B29.2AB11.4B29.3B
2.4B59.A4.3B.16B2A$145.4B.15B75.4B94.4B39.4B31.A13.4B26.5B3.4B57.2A3.
21B2A$144.4B3.6B2.4B78.4B92.4B39.4B29.3A15.4B25.2A7.4B61.10B2.7B.2B$
143.4B7.3B3.3B79.4B90.4B39.4B30.A18.4B25.A8.4B60.10B2.6B$142.4B8.5B
84.4B88.4B39.3AB51.4B21.3A10.4B61.8B3.4B$141.4B11.B2A85.4B13.A72.4B
39.3BA53.4B20.A13.4B60.4B.2B3.2B$140.4B13.A3.A83.4B10.3A71.4B39.3BA
55.4B34.4B60.3B5.B2AB$139.4B15.4A5.2A77.4B8.A73.4B39.4B57.4B34.4B59.
4B5.2A6.A$126.2A10.4B24.A.A78.4B7.2A71.4B39.4B59.4B34.4B59.4B10.3A$
127.A9.4B17.4A4.A81.4B3.5B70.4B39.4B61.4B34.4B10.2A47.4B8.A$125.A10.
4B18.A2.A2.2A.4A78.4B2.3B71.4B39.4B63.4B34.4B9.A49.4B7.2A$125.5A5.4B
5.2A13.A.A.A.A.A2.A79.9B7.2A60.4B39.4B65.4B34.4B10.A48.4B3.5B$130.A4.
4B5.A11.3A2.A.ABABAB82.8B8.A59.4B39.4B67.4B27.2A5.4B5.5A49.4B2.3B$
127.3AB2.7B.BA.A11.A4.A.AB2AB84.10B3.B.A.2A55.4B39.4B69.4B27.A5.4B4.A
55.9B7.2A$126.A.2B3.7B.B2A18.AB.2B85.7B2A2B.B3A2.A54.4B39.4B71.4B26.A
.AB.7B2.B3A53.8B8.A$126.4A12B23.3B84.7B2A3BAB2.2A54.4B39.4B73.4B26.2A
B.7B3.2B.A53.10B3.B.A.2A$124.2A2.BA3B2A7B23.4B6.2A75.12B4A55.4B39.4B
75.4B27.12B4A53.7B2A2B.B3A2.A$123.A2.3AB.2B2A7B21.3B2AB6.A74.2AB.7B3.
2B.A54.4B39.4B77.4B26.7B2A3BAB2.2A51.7B2A3BAB2.2A$123.2A.A.B3.10B21.
3B2AB3.BA.A73.A.AB.7B2.B3A54.4B39.4B79.4B25.7B2A2B.B3A2.A50.12B4A$
126.A8.8B18.10B.B2A74.A5.4B4.A56.4B39.4B81.4B24.10B3.B.A.2A48.2AB.7B
3.2B.A$126.2A7.9B16.13B75.2A5.4B5.5A50.4B39.4B83.4B22.8B8.A50.A.AB.7B
2.B3A$136.3B2.4B14.14B81.4B10.A49.4B39.4B85.4B20.9B7.2A50.A5.4B4.A$
134.5B3.3BA12.15B80.4B9.A50.4B39.4B87.4B18.4B2.3B59.2A5.4B5.5A$134.2A
7.B2AB10.4B2.8B81.4B10.2A48.4B39.4B89.4B16.4B3.5B63.4B10.A$135.A8.ABA
B8.4B5.6B80.4B60.4B39.4B91.4B6.2A6.4B7.2A62.4B9.A$132.3A10.4B6.4B4.9B
78.4B60.4B39.4B93.4B4.B2AB4.4B8.A62.4B10.2A$132.A13.4B4.4B5.2A4.4B76.
4B60.4B39.4B95.4B4.2B4.4B10.3A58.4B$147.4B2.4B7.A5.4B74.4B60.4B39.4B
97.16B13.A57.4B$148.8B5.3A7.4B34.2A36.4B60.4B39.4B99.14B71.4B$149.6B
6.A10.4B32.A.A35.4B60.4B39.4B101.12B71.4B$150.4B19.4B25.2A4.A36.4B60.
4B39.4B103.10B71.4B$149.6B19.4B22.A2.A2.2A.4A31.4B60.4B39.4B103.12B
69.4B$148.8B19.4B21.2A.A.A.A.A2.A30.4B60.4B39.4B103.4B2.2B2.4B67.4B$
147.4B2.4B19.4B23.A.ABABAB31.4B60.4B39.4B103.4B8.4B65.4B$146.4B4.4B
19.4B22.A.AB2AB31.4B60.4B39.4B103.4B10.4B63.4B$145.4B6.4B19.4B22.AB.
2B31.4B60.4B39.4B103.4B12.4B61.4B$144.4B8.4B19.4B24.3B29.4B60.4B39.4B
103.4B14.4B59.4B$143.4B10.4B19.4B23.4B6.2A19.4B60.4B39.4B103.4B16.4B
57.4B$142.4B12.4B19.4B20.3B2AB6.A19.4B60.4B39.4B103.4B18.4B55.4B$141.
4B14.4B19.4B19.3B2AB3.BA.A18.4B60.4B39.4B56.2A45.4B20.4B53.4B$140.4B
16.4B19.4B16.10B.B2A18.4B60.4B39.4B56.A.A44.4B22.4B51.4B$139.4B18.4B
19.4B14.13B19.4B60.4B39.4B51.2A4.A45.4B24.4B49.4B$138.4B20.4B19.4B12.
14B18.4B60.4B39.4B50.A2.A2.2A.4A40.4B26.4B47.4B$137.4B22.4B19.4B10.
15B17.4B60.4B39.4B51.2A.A.A.A.A2.A39.4B28.4B45.4B$136.4B24.4B19.4B8.
4B2.8B18.4B60.4B39.4B55.A.ABABAB40.4B30.4B43.4B$135.4B26.4B19.4B6.4B
5.6B17.4B60.4B39.4B56.A.AB2AB40.4B32.4B41.4B$134.4B28.4B19.4B4.4B4.9B
15.4B60.4B39.4B58.AB.2B40.4B34.4B39.4B$133.4B30.4B19.4B2.4B5.2A4.4B
13.4B60.4B39.4B62.3B38.4B36.4B37.4B$132.4B32.4B19.8B7.A5.4B11.4B60.4B
39.4B63.4B6.2A28.4B38.4B35.4B$131.4B34.4B19.6B5.3A7.4B9.4B60.4B39.4B
62.3B2AB6.A28.4B40.4B33.4B$130.4B36.4B19.4B6.A10.4B7.4B60.4B39.4B63.
3B2AB3.BA.A27.4B42.4B31.4B$129.4B38.4B6.A10.6B17.4B5.4B60.4B39.4B62.
10B.B2A27.4B44.4B29.4B$128.4B40.4B5.3A7.8B17.4B3.4B60.4B39.4B62.13B
28.4B46.4B27.4B$127.4B42.4B7.A5.4B2.4B17.4B.4B60.4B39.4B62.14B27.4B
48.4B25.4B$126.4B44.4B5.2A4.4B4.4B17.7B60.4B39.4B62.15B26.4B50.4B23.
4B$125.4B46.4B4.9B6.4B16.6B60.4B39.4B62.4B2.8B27.4B52.4B21.4B$124.4B
48.4B5.6B8.4B15.5B60.4B39.4B62.4B5.6B26.4B54.4B19.4B$123.4B50.4B2.8B
9.4B12.B.5B59.4B39.4B62.4B4.9B24.4B56.4B6.A10.4B$122.4B52.15B8.4B10.
2A7B57.4B39.4B62.4B5.2A4.4B22.4B58.4B5.3A7.4B$121.4B54.14B9.4B9.2A7B
56.4B39.4B62.4B7.A5.4B20.4B60.4B7.A5.4B$120.4B56.13B10.4B9.B.5B56.4B
39.4B39.2A21.4B5.3A7.4B18.4B62.4B5.2A4.4B$119.4B58.10B.B2A9.4B10.5B
55.4B39.4B39.A.A20.4B6.A10.4B16.4B64.4B4.9B$118.4B61.3B2AB3.BA.A9.4B
9.6B53.4B39.4B34.2A4.A21.4B19.4B14.4B66.4B5.6B$117.4B62.3B2AB6.A10.4B
8.7B51.4B39.4B33.A2.A2.2A.4A16.4B21.4B12.4B68.4B2.8B$116.4B65.4B6.2A
10.4B6.4B.4B49.4B39.4B34.2A.A.A.A.A2.A15.4B23.4B10.4B70.15B$115.4B66.
3B20.4B4.4B3.4B47.4B39.4B38.A.ABABAB16.4B25.4B8.4B72.14B$114.4B64.AB.
2B22.4B2.4B5.4B45.4B39.4B39.A.AB2AB16.4B27.4B6.4B74.13B$113.4B64.A.AB
2AB22.8B7.4B43.4B39.4B41.AB.2B16.4B29.4B4.4B76.10B.B2A$112.4B65.A.ABA
BAB22.6B9.4B7.B33.4B39.4B45.3B14.4B31.4B2.4B79.3B2AB3.BA.A$111.4B63.
2A.A.A.A.A2.A21.4B11.4B5.4B30.4B39.4B46.4B6.2A4.4B33.8B80.3B2AB6.A$
110.4B64.A2.A2.2A.4A20.6B11.4B2.6B29.4B39.4B45.3B2AB6.A4.4B35.6B83.4B
6.2A$109.4B67.2A4.A23.8B11.12B27.4B39.4B46.3B2AB3.BA.A3.4B37.4B84.3B$
108.4B74.A.A20.4B2.4B11.14B23.4B39.4B45.10B.B2A3.4B37.6B80.AB.2B$107.
4B76.2A19.4B4.4B10.16B20.4B39.4B45.13B4.4B37.8B78.A.AB2AB$106.4B97.4B
6.4B9.16B19.4B39.4B45.14B3.4B37.4B2.4B77.A.ABABAB$105.4B97.4B8.4B8.
17B5.B11.4B39.4B45.15B2.4B37.4B4.4B73.2A.A.A.A.A2.A$104.4B97.4B10.4B
6.28B6.4B39.4B45.4B2.8B3.4B37.4B6.4B72.A2.A2.2A.4A$103.4B97.4B12.4B3.
31B4.4B39.4B45.4B5.6B2.4B37.4B8.4B73.2A4.A$102.4B97.4B14.4B.33B2.4B
39.4B45.4B4.13B37.4B10.4B78.A.A$101.4B97.4B16.37B.4B39.4B45.4B5.2A4.
6B37.4B12.4B78.2A$100.4B97.4B18.40B39.4B45.4B7.A5.4B37.4B14.4B$99.4B
97.4B19.39B39.4B45.4B5.3A5.6B35.4B16.4B$98.4B97.4B19.29B2.8B39.4B45.
4B6.A6.8B33.4B18.4B$97.4B97.4B19.4B.25B2.2B.4B39.4B45.4B13.4B2.4B31.
4B20.4B$96.4B97.4B19.4B3.24B3.5B39.4B45.4B13.4B4.4B29.4B22.4B$95.4B
97.4B19.4B5.23B3.5B38.4B45.4B13.4B6.4B27.4B24.4B$94.4B97.4B19.4B7.23B
.6B37.4B45.4B13.4B8.4B25.4B26.4B$79.A13.4B97.4B19.4B9.28B37.4B45.4B
13.4B10.4B23.4B28.4B$79.3A10.4B97.4B19.4B11.6B.20B36.4B45.4B13.4B12.
4B21.4B30.4B$82.A8.4B97.4B19.4B13.4B2.3B.17B34.4B45.4B13.4B14.4B19.4B
32.4B$81.2A7.4B97.4B19.4B15.4B6.16B33.4B45.4B13.4B16.4B17.4B34.4B$81.
5B3.4B97.4B19.4B17.4B5.17B31.4B45.4B13.4B18.4B15.4B36.4B$83.3B2.4B97.
4B19.4B19.4B5.17B29.4B45.4B13.4B20.4B13.4B38.4B$73.2A7.9B97.4B19.4B
21.4B4.18B27.4B45.4B13.4B22.4B11.4B40.4B$73.A8.8B97.4B19.4B23.4B3.19B
25.4B45.4B13.4B24.4B9.4B42.4B$70.2A.A.B3.10B97.4B19.4B25.4B3.19B23.4B
45.4B13.4B26.4B7.4B44.4B$70.A2.3AB.2B2A7B96.4B19.4B27.4B2.20B21.4B45.
4B13.4B28.4B5.4B46.4B$71.2A2.BA3B2A7B95.4B19.4B29.10B.15B19.4B45.4B
13.4B30.4B3.4B48.4B$73.4A12B94.4B19.4B31.10B.15B17.4B45.4B13.4B32.4B.
4B50.4B$73.A.2B3.7B.B2A91.4B19.4B33.9B2.15B15.4B45.4B13.4B34.7B52.4B$
74.3AB2.7B.BA.A89.4B19.4B35.8B2.17B12.4B45.4B13.4B36.5B54.4B$77.A4.4B
5.A88.4B19.4B37.6B3.18B2.B7.4B45.4B13.4B37.5B55.4B$72.5A5.4B5.2A86.4B
19.4B35.9B4.21B5.4B45.4B13.ABAB37.7B55.4B$72.A10.4B91.4B19.4B35.35B4.
4B45.4B13.B2AB37.4B.4B55.4B$74.A9.4B89.4B19.4B36.36B2.4B45.4B13.3BA
37.4B3.4B55.4B$73.2A10.4B87.4B19.4B36.37B.4B45.4B13.4B37.4B5.4B55.4B$
86.3BA85.4B19.4B37.41B45.4B13.4B37.4B7.4B55.4B$87.ABAB83.4B19.4B37.
41B45.4B13.4B37.4B9.4B10.2A43.4B$88.2A2B67.A13.4B19.4B37.21BA19B45.4B
13.4B37.4B11.4B9.A45.4B$89.4B66.3A10.4B19.4B37.4B.16BABA18B5.2A37.4B
13.4B37.4B13.4B10.A44.4B$90.4B68.A8.4B19.4B37.4B5.13B2A20B5.A36.4B13.
4B37.4B8.2A5.4B5.5A45.4B$91.4B66.2A7.4B19.4B37.4B5.37B4.A.AB32.4B13.
4B37.4B10.A5.4B4.A51.4B$92.4B65.5B3.4B19.4B37.4B6.30B.7B4.2AB31.4B13.
4B37.4B11.A.AB.7B2.B3A49.4B$93.4B66.3B2.4B19.4B37.4B8.12B2A15B2.7B5.
3B28.4B13.4B37.4B13.2AB.7B3.2B.A49.4B$94.4B55.2A7.9B19.4B37.4B11.6B2.
BA2BA14B3.7B4.4B7.B18.4B13.4B37.4B16.12B4A50.4B$95.4B54.A8.8B19.4B37.
4B13.4B3.BABA15B4.7B4.4B5.4B7.2B6.4B13.4B37.4B17.7B2A3BAB2.2A49.4B$
96.4B50.2A.A.B3.10B19.4B37.4B13.4B3.3BA17B4.7B4.4B2.6B2.8B4.4B13.4B
37.4B18.7B2A2B.B3A2.A49.4B$97.4B49.A2.3AB.2B2A7B18.4B37.4B13.4B4.8B2.
6B2.4B4.7B4.21B3.4B13.4B37.4B19.10B3.B.A.2A50.4B$98.4B49.2A2.BA3B2A7B
17.4B37.4B13.4B6.2B7.4B5.4B4.7B4.19B3.4B13.4B37.4B19.8B8.A54.4B$99.4B
50.4A12B16.4B37.4B13.4B18.B7.4B4.7B3.19B2.6B11.4B37.4B19.9B7.2A55.4B$
100.4B49.A.2B3.7B.B2A13.4B37.4B13.4B28.3B5.7B2.29B8.4B37.4B19.4B2.3B
66.4B$101.4B49.3AB2.7B.BA.A11.4B37.4B13.4B31.B2A4.7B.30B6.4B37.4B19.
4B3.5B65.4B$102.4B51.A4.4B5.A10.4B37.4B13.4B32.BA.A4.37B5.4B37.4B19.
4B7.2A66.4B$103.4B45.5A5.4B5.2A8.4B37.4B13.4B36.A5.35B5.4B37.4B19.4B
8.A68.4B$104.4B44.A10.4B13.4B37.4B13.4B37.2A5.37B.4B37.4B19.4B10.3A
66.4B$105.4B45.A9.4B11.4B37.4B13.4B45.41B37.4B19.4B13.A67.4B$106.4B
43.2A10.4B9.4B37.4B13.4B45.41B37.4B19.4B83.4B$107.4B55.4B7.4B37.4B13.
4B45.41B37.4B19.4B85.4B$108.4B55.4B5.4B37.4B13.4B45.4B.37B36.4B19.4B
87.4B10.2A$109.4B55.4B3.4B37.4B13.4B45.4B2.36B36.4B19.4B89.4B9.A$110.
4B55.4B.4B37.4B13.4B45.4B4.35B35.4B19.4B91.4B10.A$111.4B55.7B37.4B13.
4B45.4B5.21B4.9B35.4B19.4B86.2A5.4B5.5A$112.4B55.5B37.4B13.4B45.4B7.B
2.18B3.6B37.4B19.4B88.A5.4B4.A$113.4B54.5B36.4B13.4B45.4B12.17B2.8B
35.4B19.4B89.A.AB.7B2.B3A$114.4B52.7B34.4B13.4B45.4B15.15B2.9B33.4B
19.4B91.2AB.7B3.2B.A$115.4B50.4B.4B32.4B13.4B45.4B17.15B.10B31.4B19.
4B94.12B4A$116.4B48.4B3.4B30.4B13.4B45.4B19.15B.10B29.4B19.4B95.7B2A
3BAB2.2A$117.4B46.4B5.4B28.4B13.4B45.4B21.20B2.4B27.4B19.4B96.7B2A2B.
B3A2.A$118.4B44.4B7.BABA26.4B13.4B45.4B23.19B3.4B25.4B19.4B97.10B3.B.
A.2A$119.4B42.4B9.B2AB24.4B13.4B45.4B25.19B3.4B23.4B19.4B97.8B8.A$
120.4B40.4B11.A3B22.4B13.4B45.4B27.18B4.4B21.4B19.4B97.9B7.2A$121.4B
38.4B13.4B20.4B13.4B45.4B29.17B5.4B19.4B19.4B97.4B2.3B$122.4B36.4B15.
4B18.4B13.4B45.4B31.2BA14B5.4B17.4B19.4B97.4B3.5B$123.4B34.4B17.4B16.
4B13.4B45.4B33.2B2A12B6.4B15.4B19.4B97.4B7.2A$124.4B32.4B19.4B14.4B
13.4B45.4B34.B2A14B.3B2.4B13.4B19.4B97.4B8.A$125.4B30.4B21.4B12.4B13.
4B45.4B36.20B.6B11.4B19.4B97.4B10.3A$126.4B28.4B23.4B10.4B13.4B45.4B
37.28B9.4B19.4B97.4B13.A$127.4B26.4B25.4B8.4B13.4B45.4B37.6B.23B7.4B
19.4B97.4B$128.4B24.4B27.4B6.4B13.4B45.4B38.B3AB3.23B5.4B19.4B97.4B$
129.4B22.4B29.4B4.4B13.4B45.4B39.3BAB3.24B3.4B19.4B97.4B$130.4B20.4B
31.4B2.4B13.4B45.4B39.3BA.2B2.25B.4B19.4B97.4B$131.4B18.4B33.8B6.A6.
4B45.4B39.8B2.29B19.4B97.4B$132.4B16.4B35.6B5.3A5.4B45.4B39.39B19.4B
97.4B$133.4B14.4B37.4B5.A7.4B45.4B39.40B18.4B97.4B$54.2A78.4B12.A3B
37.6B4.2A5.4B45.4B39.4B.37B16.4B97.4B$54.A.A78.4B10.BABA37.13B4.4B45.
4B39.4B2.33B.4B14.4B97.4B$56.A4.2A73.4B8.2B2A37.4B2.6B5.4B45.4B39.4B
4.31B3.4B12.4B97.4B$52.4A.2A2.A2.A72.4B6.4B37.4B3.8B2.4B45.4B39.4B6.
28B6.4B10.4B97.4B$52.A2.A.A.A.A.2A73.4B4.4B37.4B2.15B45.4B39.4B11.B5.
17B8.4B8.4B97.4B$54.BABABA.A77.4B2.4B37.4B3.14B45.4B39.4B19.16B9.4B6.
4B97.4B$55.B2ABA.A78.8B37.4B4.13B45.4B39.4B20.16B10.4B4.4B19.2A76.4B$
56.2B.BA80.6B37.4B3.2AB.10B45.4B39.4B23.14B11.4B2.4B20.A.A74.4B$55.3B
84.4B37.4B3.A.AB3.B2A3B46.4B39.4B27.12B11.8B23.A4.2A67.4B$46.2A6.4B
83.6B35.4B4.A6.B2A3B45.4B39.4B29.6B2.4B11.6B20.4A.2A2.A2.A64.4B$47.A
6.B2A3B80.8B33.4B4.2A6.4B46.4B39.4B30.4B5.4B11.4B21.A2.A.A.A.A.2A63.
4B$47.A.AB3.B2A3B79.4B2.4B31.4B14.3B45.4B39.4B33.B7.4B9.6B22.BABABA.A
65.4B$48.2AB.10B76.4B4.4B29.4B16.2B.BA41.4B39.4B43.4B7.8B22.B2ABA.A
64.4B$50.13B74.4B6.4B27.4B16.B2ABA.A39.4B39.4B45.4B5.4B2.4B22.2B.BA
64.4B$50.14B72.4B8.4B25.4B16.BABABA.A38.4B39.4B47.4B3.4B4.4B20.3B66.
4B$50.15B70.4B10.4B23.4B15.A2.A.A.A.A.2A34.4B39.4B49.4B.4B6.4B10.2A6.
4B65.4B$52.8B2.4B68.4B12.4B21.4B16.4A.2A2.A2.A33.4B39.4B51.7B8.4B10.A
6.B2A3B62.4B$52.6B5.4B66.4B14.4B19.4B21.A4.2A34.4B39.4B53.6B9.4B9.A.A
B3.B2A3B61.4B$51.9B4.4B64.4B16.4B10.A6.4B20.A.A39.4B39.4B55.5B10.4B9.
2AB.10B58.4B$50.4B4.2A5.4B62.4B18.4B7.3A5.4B21.2A39.4B39.4B56.5B.B9.
4B10.13B56.4B$49.2A2B5.A7.4B60.4B20.4B5.A7.4B62.4B39.4B56.7B2A9.4B9.
14B54.4B$48.ABAB7.3A5.4B58.4B22.4B4.2A5.4B62.4B39.4B57.7B2A10.2BAB8.
15B52.4B$47.3BA10.A6.4B56.4B24.9B4.4B62.4B39.4B59.5B.B12.2B2A9.8B2.4B
50.4B$46.4B19.4B54.4B26.6B5.4B62.4B39.4B60.5B15.2A2B8.6B5.4B48.4B$45.
4B21.4B52.4B27.8B2.4B62.4B39.4B60.6B16.4B6.9B4.4B46.4B$44.4B23.4B50.
4B26.15B62.4B39.4B60.7B17.4B4.4B4.2A5.4B44.4B$43.4B25.4B48.4B27.14B
62.4B39.4B60.4B.4B17.4B2.4B5.A7.4B42.4B$42.4B27.4B46.4B28.13B62.4B39.
4B60.4B3.4B17.8B7.3A5.4B40.4B$41.4B29.4B44.4B27.2AB.10B62.4B39.4B60.
4B5.4B17.6B10.A6.4B38.4B$40.4B31.4B42.4B27.A.AB3.B2A3B63.4B39.4B60.4B
7.4B10.A6.4B19.4B36.4B$39.4B33.4B40.4B28.A6.B2A3B62.4B39.4B60.4B9.4B
7.3A5.6B19.4B34.4B$38.4B35.4B38.4B28.2A6.4B63.4B39.4B60.4B11.4B5.A7.
8B19.4B32.4B$37.4B37.4B36.4B38.3B62.4B39.4B60.4B13.4B4.2A5.4B2.4B19.
4B30.4B$36.4B39.4B34.4B40.2B.BA58.4B39.4B60.4B15.9B4.4B4.4B19.4B28.4B
$35.4B41.4B32.4B40.B2ABA.A56.4B39.4B60.4B17.6B5.4B6.4B19.4B26.4B$34.
4B43.4B30.4B40.BABABA.A55.4B39.4B60.4B18.8B2.4B8.4B19.4B24.4B$33.4B
45.4B28.4B39.A2.A.A.A.A.2A51.4B39.4B60.4B17.15B10.4B19.4B22.4B$32.4B
47.4B26.4B40.4A.2A2.A2.A50.4B39.4B60.4B18.14B12.4B19.4B20.4B$31.4B49.
4B24.4B45.A4.2A51.4B39.4B60.4B19.13B14.4B19.4B18.4B$30.4B51.4B22.4B
44.A.A56.4B39.4B60.4B18.2AB.10B16.4B19.4B16.4B$29.4B53.4B20.4B45.2A
56.4B39.4B60.4B18.A.AB3.B2A3B19.4B19.4B14.4B$28.4B55.4B18.4B103.4B39.
4B60.4B19.A6.B2A3B20.4B19.4B12.4B$27.4B57.4B16.4B103.4B39.4B60.4B19.
2A6.4B23.4B19.4B10.4B$26.4B59.4B14.4B103.4B39.4B60.4B29.3B24.4B19.4B
8.4B$25.4B61.4B12.4B103.4B39.4B60.4B31.2B.BA22.4B19.4B6.4B$24.4B63.4B
10.4B103.4B39.4B60.4B31.B2ABA.A22.4B19.4B4.4B$23.4B65.4B8.4B103.4B39.
4B60.4B31.BABABA.A23.4B19.4B2.4B$22.4B67.4B2.2B2.4B103.4B39.4B60.4B
30.A2.A.A.A.A.2A21.4B19.8B$21.4B69.12B103.4B39.4B60.4B31.4A.2A2.A2.A
22.4B19.6B$20.4B71.10B103.4B39.4B60.4B36.A4.2A25.4B19.4B$19.4B71.12B
101.4B39.4B60.4B35.A.A32.4B10.A6.6B$18.4B71.14B99.4B39.4B60.4B36.2A
34.4B7.3A5.8B$17.4B57.A13.16B97.4B39.4B60.4B74.4B5.A7.4B2.4B$16.4B58.
3A10.4B4.2B4.4B95.4B39.4B60.4B76.4B4.2A5.4B4.4B13.A$3.2A10.4B62.A8.4B
4.B2AB4.4B93.4B39.4B60.4B78.9B4.4B6.4B10.3A$4.A9.4B62.2A7.4B6.2A6.4B
91.4B39.4B60.4B80.6B5.4B8.4B8.A$2.A10.4B63.5B3.4B16.4B89.4B39.4B48.2A
10.4B81.8B2.4B10.4B7.2A$2.5A5.4B5.2A59.3B2.4B18.4B87.4B39.4B50.A9.4B
80.15B12.4B3.5B$7.A4.4B5.A50.2A7.9B20.4B85.4B39.4B49.A10.4B81.14B14.
4B2.3B$4.3AB2.7B.BA.A50.A8.8B22.4B83.4B39.4B50.5A5.4B5.2A75.13B16.9B
7.2A$3.A.2B3.7B.B2A48.2A.A.B3.10B24.4B81.4B39.4B56.A4.4B5.A74.2AB.10B
18.8B8.A$3.4A12B50.A2.3AB.2B2A7B25.4B79.4B39.4B54.3AB2.7B.BA.A73.A.AB
3.B2A3B21.10B3.B.A.2A$.2A2.BA3B2A7B51.2A2.BA3B2A7B26.4B77.4B39.4B54.A
.2B3.7B.B2A74.A6.B2A3B21.7B2A2B.B3A2.A$A2.3AB.2B2A7B53.4A12B27.4B75.
4B39.4B55.4A12B75.2A6.4B23.7B2A3BAB2.2A$2A.A.B3.10B53.A.2B3.7B.B2A26.
4B73.4B39.4B54.2A2.BA3B2A7B84.3B23.12B4A$3.A8.8B53.3AB2.7B.BA.A26.4B
71.4B39.4B54.A2.3AB.2B2A7B85.2B.BA18.2AB.7B3.2B.A$3.2A7.9B55.A4.4B5.A
27.4B69.4B39.4B55.2A.A.B3.10B84.B2ABA.A4.A11.A.AB.7B2.B3A$13.3B2.4B
49.5A5.4B5.2A27.4B67.4B39.4B59.A8.8B82.BABABA.A2.3A11.A5.4B4.A$11.5B
3.4B48.A10.4B34.4B65.4B39.4B60.2A7.9B79.A2.A.A.A.A.A13.2A5.4B5.5A$11.
2A7.4B49.A9.4B34.4B63.4B39.4B71.3B2.B3A78.4A.2A2.A2.A18.4B10.A$12.A8.
4B47.2A10.4B34.4B61.4B39.4B70.5B3.A3B81.A4.4A17.4B9.A$9.3A10.4B59.4B
34.4B59.4B39.4B71.2A7.A3B78.A.A24.4B10.2A$9.A6.2A5.4B59.4B34.4B57.4B
39.4B73.A8.4B77.2A5.4A15.4B$15.B2AB5.3B60.4B34.4B55.4B39.4B71.3A10.4B
83.A3.A13.4B$16.2B3.2B.4B60.4B13.A20.4B53.4B39.4B72.A13.4B85.2AB11.4B
$13.4B3.8B61.4B10.3A21.4B51.4B39.4B88.4B84.5B8.4B$12.6B2.10B60.4B8.A
25.4B18.A30.4B39.4B90.4B79.3B3.3B7.4B$8.2B.7B2.10B61.4B7.2A25.4B15.3A
29.4B39.4B92.4B78.4B2.6B3.4B$7.2A21B3.2A57.4B3.5B26.4B13.A31.4B39.4B
94.4B75.15B.4B$7.2A16B.3B4.A59.4B2.3B29.4B11.B2A29.4B39.4B96.4B72.21B
$8.20B2.BA.A60.9B7.2A20.4B8.5B28.4B39.4B98.4B70.8B.13B$9.19B2.B2A62.
8B8.A21.4B7.3B3.3B23.4B39.4B100.4B68.23B$9.5B2A16B64.10B3.B.A.2A19.4B
3.6B2.4B22.4B39.4B102.4B66.4B2.19B$8.5BA2BA14B65.7B2A2B.B3A2.A20.4B.
15B19.4B39.4B104.4B64.4B2.21B$6.B2.5BABA14B65.7B2A3BAB2.2A22.21B16.4B
39.4B106.4B62.4B3.20B2A$5.2AB.6BA13B67.12B4A24.13B.8B14.4B39.4B108.4B
60.4B5.19B2A$5.2A22B65.2AB.7B3.2B.A24.23B12.4B39.4B110.4B39.A18.4B9.
17B$6.2B.20B64.A.AB.7B2.B3A24.19B2.4B10.4B39.4B112.4B38.3A15.4B5.B4.
16B$9.19B65.A5.4B4.A26.21B2.4B8.4B39.4B114.4B40.A13.4B5.2AB.18B$9.18B
65.2A5.4B5.5A20.2A20B3.4B6.4B39.4B116.4B38.2AB11.4B6.2A9B2A8B$9.19B
70.4B10.A20.2A19B5.4B4.4B39.4B118.4B37.5B8.4B8.B.7BA2BA8B$10.19B68.4B
9.A23.17B9.4B2.4B39.4B120.4B32.3B3.3B7.4B11.7BABA10B$8.22B66.4B10.2A
23.16B4.B5.8B39.4B122.4B31.4B2.6B3.4B12.8BA11B$6.A.2A6B.7B3.4B64.4B
36.18B.B2A5.6B39.4B124.4B28.15B.4B14.18B$4.3AB2AB2.2B4.B2AB5.4B62.4B
38.8B2A9B2A6.4B39.4B126.4B25.21B16.17B$3.A4.B11.2A7.4B60.4B38.8BA2BA
7B.B6.6B37.4B128.4B23.8B.13B17.17B$4.3A.2A20.4B58.4B38.10BABA7B7.8B
35.4B130.4B21.23B16.14B.B2A.A$6.A.A22.4B56.4B39.11BA8B6.4B2.4B33.4B
132.4B19.4B2.19B15.B2AB2.B2.B5.B2AB3A$6.A.A23.4B54.4B41.18B6.4B4.4B
31.4B134.4B6.A10.4B2.21B15.2A5.3B6.B4.A$7.A25.4B52.4B42.17B6.4B6.4B
29.4B136.4B5.3A7.4B3.20B2A20.B2AB5.2A.3A$34.4B50.4B42.17B6.4B8.4B27.
4B138.4B7.A5.4B5.19B2A21.2A7.A.A$35.4B48.4B41.A.2AB.14B4.4B10.4B25.4B
140.4B5.2A4.4B9.17B31.A.A$36.4B46.4B40.3AB2AB5.B2.B2.B2AB3.4B12.4B23.
4B142.4B4.9B5.B4.16B33.A$37.4B44.4B40.A4.B6.3B5.2A3.4B14.4B21.4B144.
4B5.6B5.2AB.18B$31.2A5.4B42.4B42.3A.2A5.B2AB8.4B16.4B19.4B146.4B2.8B
5.2A9B2A8B$30.B2AB5.3B41.4B45.A.A7.2A8.4B18.4B10.A6.4B148.15B4.B.7BA
2BA8B$31.2B3.2B.4B39.4B46.A.A16.4B20.4B7.3A5.4B150.14B6.7BABA10B$28.
4B3.8B38.4B48.A16.4B22.4B5.A7.4B152.13B6.8BA11B$27.6B2.10B35.4B65.4B
24.4B4.2A5.4B154.10B.B2A5.18B$23.2B.7B2.10B34.4B65.4B26.9B4.4B157.3B
2AB3.BA.A5.17B$22.2A21B3.2A28.4B65.4B28.6B5.4B158.3B2AB6.A6.17B$22.2A
16B.3B4.A28.4B65.4B29.8B2.4B161.4B6.2A4.14B.B2A.A$23.20B2.BA.A27.4B
65.4B28.15B162.3B13.B2AB2.B2.B5.B2AB3A$24.19B2.B2A27.4B65.4B29.14B
160.AB.2B15.2A5.3B6.B4.A$24.5B2A16B27.4B65.4B30.13B160.A.AB2AB20.B2AB
5.2A.3A$23.5BA2BA14B27.4B65.4B29.2AB.10B161.A.ABABAB20.2A7.A.A$21.B2.
5BABA14B26.4B65.4B29.A.AB3.B2A3B160.2A.A.A.A.A2.A27.A.A$20.2AB.6BA13B
27.4B65.4B30.A6.B2A3B160.A2.A2.2A.4A28.A$20.2A22B26.4B65.4B30.2A6.4B
164.2A4.A$21.2B.20B25.4B65.4B40.3B170.A.A$24.19B25.4B65.4B42.2B.BA
168.2A$24.18B25.4B65.4B42.B2ABA.A$24.19B23.4B65.4B42.BABABA.A$25.19B
21.4B65.4B41.A2.A.A.A.A.2A$23.22B19.4B65.4B42.4A.2A2.A2.A$21.A.2A6B.
7B3.4B6.A10.4B65.4B47.A4.2A$19.3AB2AB2.2B4.B2AB5.4B5.3A7.4B65.4B46.A.
A$18.A4.B11.2A7.4B7.A5.4B65.4B47.2A$19.3A.2A20.4B5.2A4.4B65.4B$21.A.A
22.4B4.9B65.4B$21.A.A23.4B5.6B65.4B$22.A25.4B2.8B64.4B$49.15B61.4B$
50.14B60.4B$51.13B59.4B$52.10B.B2A56.4B$54.3B2AB3.BA.A54.4B$54.3B2AB
6.A53.4B$56.4B6.2A51.4B$56.3B59.4B$53.AB.2B59.4B$52.A.AB2AB57.4B$52.A
.ABABAB55.4B$49.2A.A.A.A.A2.A52.4B$49.A2.A2.2A.4A51.4B$51.2A4.A54.4B$
57.A.A51.4B$58.2A50.4B!
For a single-engine cyclotron, we could use rephaser blocks (more than in this example) to insert the input glider without the troublesome glider getting in the way:

Code: Select all

x = 254, y = 164, rule = LifeHistory
.A250.A$2.A248.A$3A248.3A113$201.CBC$201.2CB$202.C11$138.B$126.2A10.
2B$126.2A10.3B$138.4B$138.5B$138.6B$138.7B$139.7B$140.7B$141.7B$142.
7B$143.7B$144.7B$145.7B$146.7B$147.7B$148.7B$149.7B$150.7B$151.7B$
152.7B$153.7B$154.7B$155.6B$156.5B$157.4B$158.4B$159.2BCB$160.2B2C$
161.2C4$161.3C$161.2BC$161.BC!

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 12:57 am
by pcallahan
Somewhat off topic, but I was going over this thread and started thinking about the 3-block shifter that has to be hit from alternating diagonals. I can use it as part of an oscillator with just snarks, but with bandersnatches, the oscillator can be started with a glider from infinity. In this case, the color changing part is not useful, but the clearance past the exiting glider is.

Code: Select all

x = 235, y = 134, rule = B3/S23
12$76bo$74bobo$75b2o5$40b2o146b2o$40bobo144bobo$42bo4b2o132b2o4bo$38b
4ob2o2bo2bo128bo2bo2b2ob4o$38bo2bobobobob2o128b2obobobobo2bo$41bobobob
o134bobobobo$42b2obobo134bobob2o$46bo136bo2$32b2o162b2o$33bo7b2o144b2o
7bo$33bobo5b2o144b2o5bobo$34b2o30bo96bo30b2o$64b3o96b3o$63bo102bo$63b
2o100b2o4$44b2o138b2o$44bo46bo46bo46bo$45b3o41b3o46b3o41b3o$47bo40bo
52bo40bo$88b2o50b2o2$49b2o128b2o$49b2o128b2o3$14b2o55b2o84b2o55b2o$15b
o44b2o9b2o84b2o9b2o44bo$13bo45bo2bo104bo2bo45bo$13b5o14b2o26bobo104bob
o26b2o14b5o$18bo13bo28bo12b2o78b2o12bo28bo13bo$15b3o12bobo41b2o78b2o
41bobo12b3o$14bo15b2o166b2o15bo$14b4o194b4o$12b2o3bo3b2o11bo13bob2o44b
2o34b2o44b2obo13bo11b2o3bo3b2o$11bo2b3o4b2o11b3o9b3ob2o13b2o18b2o9b2o
34b2o9b2o18b2o13b2ob3o9b3o11b2o4b3o2bo$11b2obo22bo7bo19b2o17bo2bo54bo
2bo17b2o19bo7bo22bob2o$14bo21b2o8b3ob2o6b2o25bobo54bobo25b2o6b2ob3o8b
2o21bo$14b2o32bobo7b2o26bo56bo26b2o7bobo32b2o$48bobo128bobo$49bo130bo$
22b2o182b2o$23bo49bob2o76b2obo49bo$20b3o48b3ob2o13b2o19b2o25b2o13b2ob
3o48b3o$20bo49bo19b2o19b2o25b2o19bo49bo$71b3ob2o6b2o60b2o6b2ob3o$73bob
o7b2o60b2o7bobo$73bobo78bobo$74bo80bo2$111b2o4b2o$111b2o4b2o15$66bo96b
o$66b3o92b3o$69bo90bo$68b2o90b2o7$78b2o70b2o$71b2o5bobo68bobo5b2o$71b
2o7bo68bo7b2o$80b2o66b2o2$67bo94bo$66bobob2o86b2obobo$66bobobobo84bobo
bobo$63b2obobobobo2bo78bo2bobobobob2o$63bo2bo2b2ob4o78b4ob2o2bo2bo$65b
2o4bo86bo4b2o$71bobo82bobo$72b2o82b2o!

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 7:39 am
by dvgrn
pcallahan wrote: July 9th, 2020, 12:57 amSomewhat off topic, but I was going over this thread and started thinking about the 3-block shifter that has to be hit from alternating diagonals. I can use it as part of an oscillator with just snarks, but with bandersnatches, the oscillator can be started with a glider from infinity. In this case, the color changing part is not useful, but the clearance past the exiting glider is.
Also, the 3-block shifter rephases gliders by 2 mod 8, just like the single-block rephaser does, also without changing the glider color. So two passes through the 3-block shifter will change the phase by 4 mod 8, and four Bandersnatches at 2-mod-8 each return to the same phase. The symmetric oscillator therefore has a 4-mod-8 period (1468+8N), and if you remove two of the Bandersnatches, you get a 0-mod-8 period instead (1048+8N):

Code: Select all

x = 194, y = 202, rule = LifeHistory
58.BA$57.ABAB$58.2A2B$59.4B$60.4B$61.4B$62.4B$23.2A38.4B102.2A$23.A.A
38.4B100.A.A$25.A4.2A33.4B93.2A4.A$21.4A.2A2.A2.A32.4B90.A2.A2.2A.4A$
21.A2.A.A.A.A.2A33.4B89.2A.A.A.A.A2.A$23.BABABA.A37.4B91.A.ABABAB$24.
B2ABA.A38.4B90.A.AB2AB$25.2B.BA40.4B90.AB.2B$24.3B44.4B92.3B$15.2A6.
4B45.4B91.4B6.2A$16.A6.B2A3B44.4B88.3B2AB6.A$16.A.AB3.B2A3B45.4B87.3B
2AB3.BA.A$17.2AB.10B18.A25.4B65.A18.10B.B2A$19.13B15.3A26.4B64.3A15.
13B$19.14B13.A30.4B66.A13.14B$19.15B11.B2A30.4B64.2AB11.15B$21.8B2.4B
8.5B31.4B63.5B8.4B2.8B$21.6B5.4B7.3B3.3B28.4B58.3B3.3B7.4B5.6B$20.9B
4.4B3.6B2.4B29.4B57.4B2.6B3.4B4.9B$19.4B4.2A5.4B.15B28.4B54.15B.4B5.
2A4.4B$18.4B5.A7.21B18.A8.4B32.A18.21B7.A5.4B$17.4B7.3A4.13B.8B15.3A
9.4B31.3A15.8B.13B4.3A7.4B$16.4B10.A4.23B13.A13.4B33.A13.23B4.A10.4B$
3.2A10.4B15.19B2.4B11.B2A13.4B31.2AB11.4B2.19B15.4B10.2A$4.A9.4B15.
21B2.4B8.5B14.4B30.5B8.4B2.21B15.4B9.A$2.A10.4B15.2A20B3.4B7.3B3.3B
11.4B25.3B3.3B7.4B3.20B2A15.4B10.A$2.5A5.4B5.2A9.2A19B5.4B3.6B2.4B12.
4B24.4B2.6B3.4B5.19B2A9.2A5.4B5.5A$7.A4.4B5.A11.17B9.4B.15B11.4B21.
15B.4B9.17B11.A5.4B4.A$4.3AB2.7B.BA.A12.16B4.B5.21B10.4B18.21B5.B4.
16B12.A.AB.7B2.B3A$3.A.2B3.7B.B2A13.18B.B2A4.13B.8B10.4B16.8B.13B4.2A
B.18B13.2AB.7B3.2B.A$3.4A12B16.8B2A9B2A4.23B10.4B14.23B4.2A9B2A8B16.
12B4A$.2A2.BA3B2A7B15.8BA2BA7B.B4.19B2.4B10.6B10.4B2.19B4.B.7BA2BA8B
15.7B2A3BAB2.2A$A2.3AB.2B2A7B14.10BABA7B5.21B2.4B3.18B3.4B2.21B5.7BAB
A10B14.7B2A2B.B3A2.A$2A.A.B3.10B14.11BA8B4.2A20B3.4B2.18B2.4B3.20B2A
4.8BA11B14.10B3.B.A.2A$3.A8.8B14.18B5.2A19B5.28B5.19B2A5.18B14.8B8.A$
3.2A7.9B13.17B7.17B9.26B9.17B7.17B13.9B7.2A$13.3B2.4B11.17B9.16B4.B5.
24B5.B4.16B9.17B11.4B2.3B$11.5B3.4B8.A.2AB.14B8.18B.B2A3.26B3.2AB.18B
8.14B.B2A.A8.4B3.5B$11.2A7.4B5.3AB2AB5.B2.B2.B2AB9.8B2A9B2A3.26B3.2A
9B2A8B9.B2AB2.B2.B5.B2AB3A5.4B7.2A$12.A8.4B3.A4.B6.3B5.2A9.8BA2BA7B.B
3.28B3.B.7BA2BA8B9.2A5.3B6.B4.A3.4B8.A$9.3A10.4B3.3A.2A5.B2AB14.10BAB
A7B5.28B5.7BABA10B14.B2AB5.2A.3A3.4B10.3A$9.A13.4B4.A.A7.2A15.11BA8B
6.26B6.8BA11B15.2A7.A.A4.4B13.A$24.4B3.A.A25.18B7.26B7.18B25.A.A3.4B$
25.4B3.A26.17B8.26B8.17B26.A3.4B$26.4B28.17B8.28B8.17B28.4B$27.4B25.A
.2AB.14B6.11B2A17B6.14B.B2A.A25.4B$28.4B22.3AB2AB5.B2.B2.B2AB5.4B.7B
2A13B.4B5.B2AB2.B2.B5.B2AB3A22.4B$29.4B20.A4.B6.3B5.2A5.4B3.20B3.4B5.
2A5.3B6.B4.A20.4B$30.4B20.3A.2A5.B2AB10.4B4.20B4.4B10.B2AB5.2A.3A20.
4B$31.4B21.A.A7.2A10.4B6.18B6.4B10.2A7.A.A21.4B$32.4B20.A.A18.4B9.14B
9.4B18.A.A20.4B$33.4B20.A18.4B11.5B2.5B11.4B18.A20.4B$34.4B37.4B12.2B
2AB2.B2A2B12.4B37.4B$35.4B35.4B15.2A4.2A15.4B35.4B$36.4B33.4B40.4B33.
4B$37.4B31.4B42.4B31.4B$38.4B29.4B44.4B29.4B$39.4B27.4B46.4B27.4B$40.
4B25.4B48.4B25.4B$41.4B23.4B50.4B23.4B$42.4B21.4B52.4B21.4B$43.4B19.
4B54.4B19.4B$44.4B6.A10.4B56.4B10.A6.4B$45.4B5.3A7.4B58.4B7.3A5.4B$
46.4B7.A5.4B60.4B5.A7.4B$47.4B5.2A4.4B62.4B4.2A5.4B$48.4B4.9B64.9B4.
4B$49.4B5.6B66.6B5.4B$50.4B2.8B66.8B2.4B$51.15B62.15B$52.14B62.14B$
53.13B62.13B$54.10B.B2A58.2AB.10B$56.3B2AB3.BA.A56.A.AB3.B2A3B$56.3B
2AB6.A56.A6.B2A3B$58.4B6.2A54.2A6.4B$58.3B72.3B$55.AB.2B74.2B.BA$54.A
.AB2AB72.B2ABA.A$54.A.ABABAB70.BABABA.A$51.2A.A.A.A.A2.A66.A2.A.A.A.A
.2A$51.A2.A2.2A.4A66.4A.2A2.A2.A$53.2A4.A74.A4.2A$59.A.A70.A.A$60.2A
70.2A19$58.BA$57.ABAB$58.2A2B$59.4B$60.4B$61.4B$62.4B$23.2A38.4B$23.A
.A38.4B$25.A4.2A33.4B$21.4A.2A2.A2.A32.4B$21.A2.A.A.A.A.2A33.4B$23.BA
BABA.A37.4B$24.B2ABA.A38.4B$25.2B.BA40.4B$24.3B44.4B$15.2A6.4B45.4B$
16.A6.B2A3B44.4B$16.A.AB3.B2A3B45.4B$17.2AB.10B18.A25.4B$19.13B15.3A
26.4B$19.14B13.A30.4B$19.15B11.B2A30.4B38.2A$21.8B2.4B8.5B31.4B36.A.A
$21.6B5.4B7.3B3.3B28.4B29.2A4.A$20.9B4.4B3.6B2.4B29.4B26.A2.A2.2A.4A$
19.4B4.2A5.4B.15B28.4B25.2A.A.A.A.A2.A$18.4B5.A7.21B18.A8.4B27.A.ABAB
AB$17.4B7.3A4.13B.8B15.3A9.4B26.A.AB2AB$16.4B10.A4.23B13.A13.4B26.AB.
2B$3.2A10.4B15.19B2.4B11.B2A13.4B28.3B$4.A9.4B15.21B2.4B8.5B14.4B27.
4B6.2A$2.A10.4B15.2A20B3.4B7.3B3.3B11.4B24.3B2AB6.A$2.5A5.4B5.2A9.2A
19B5.4B3.6B2.4B12.4B23.3B2AB3.BA.A$7.A4.4B5.A11.17B9.4B.15B11.4B20.
10B.B2A$4.3AB2.7B.BA.A12.16B4.B5.21B10.4B18.13B$3.A.2B3.7B.B2A13.18B.
B2A4.13B.8B10.4B16.14B$3.4A12B16.8B2A9B2A4.23B10.4B14.15B$.2A2.BA3B2A
7B15.8BA2BA7B.B4.19B2.4B10.6B10.4B2.8B$A2.3AB.2B2A7B14.10BABA7B5.21B
2.4B3.18B3.4B5.6B$2A.A.B3.10B14.11BA8B4.2A20B3.4B2.18B2.4B4.9B$3.A8.
8B14.18B5.2A19B5.28B5.2A4.4B$3.2A7.9B13.17B7.17B9.26B7.A5.4B10.2A$13.
3B2.4B11.17B9.16B4.B5.25B4.3A7.4B9.A$11.5B3.4B8.A.2AB.14B8.18B.B2A3.
26B4.A10.4B10.A$11.2A7.4B5.3AB2AB5.B2.B2.B2AB9.8B2A9B2A3.26B9.2A5.4B
5.5A$12.A8.4B3.A4.B6.3B5.2A9.8BA2BA7B.B3.28B6.A2.A5.4B4.A$9.3A10.4B3.
3A.2A5.B2AB14.10BABA7B5.28B6.2A.A.AB.7B2.B3A$9.A13.4B4.A.A7.2A15.11BA
8B6.26B9.A.2AB.7B3.2B.A$24.4B3.A.A25.18B7.26B9.A3.12B4A$25.4B3.A26.
17B8.26B7.3A3.7B2A3BAB2.2A$26.4B28.17B8.28B5.A6.7B2A2B.B3A2.A$27.4B
25.A.2AB.14B6.11B2A17B4.2A5.10B3.B.A.2A$28.4B22.3AB2AB5.B2.B2.B2AB5.
4B.7B2A13B.9B4.8B8.A$29.4B20.A4.B6.3B5.2A5.4B3.20B3.6B5.9B7.2A$30.4B
20.3A.2A5.B2AB10.4B4.20B3.8B2.4B2.3B$31.4B21.A.A7.2A10.4B6.18B2.15B3.
5B$32.4B20.A.A18.4B9.14B4.14B7.2A$33.4B20.A18.4B11.5B2.5B5.13B8.A$34.
4B37.4B12.2B2AB2.B2A2B3.2AB.10B10.3A$35.4B35.4B15.2A4.2A4.A.AB3.B2A3B
14.A$36.4B33.4B28.A6.B2A3B$37.4B31.4B28.2A6.4B$38.4B29.4B38.3B$39.4B
27.4B40.2B.BA$40.4B25.4B40.B2ABA.A$41.4B23.4B40.BABABA.A$42.4B21.4B
39.A2.A.A.A.A.2A$43.4B19.4B40.4A.2A2.A2.A$44.4B6.A10.4B45.A4.2A$45.4B
5.3A7.4B44.A.A$46.4B7.A5.4B45.2A$47.4B5.2A4.4B$48.4B4.9B$49.4B5.6B$
50.4B2.8B$51.15B$52.14B$53.13B$54.10B.B2A$56.3B2AB3.BA.A$56.3B2AB6.A$
58.4B6.2A$58.3B$55.AB.2B$54.A.AB2AB$54.A.ABABAB$51.2A.A.A.A.A2.A$51.A
2.A2.2A.4A$53.2A4.A$59.A.A$60.2A!
(Mostly just making sure that the mod-8 Bandermath worked out the way it was supposed to here. Also a couple of superfluous eater1s sneaked into the original pattern.)

I guess the big advantage of the 3-block shifter over the singleton rephaser block, when the oscillator period is big enough and it can be used, is that the glider being phase-changed doesn't have to be synchronized precisely with perpendicular reset glider. The reset glider will also get phase-changed, of course, but that might not matter, e.g., if it ends up being the output glider.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 8:43 am
by gameoflifemaniac
awesome!

Code: Select all

x = 90, y = 50, rule = B3/S23
20b2o46b2o$20bobo44bobo$22bo4b2o32b2o4bo$18b4ob2o2bo2bo28bo2bo2b2ob4o$
18bo2bobobobob2o28b2obobobobo2bo$21bobobobo34bobobobo$22b2obobo34bobob
2o$26bo36bo2$12b2o62b2o$13bo7b2o44b2o7bo$13bobo5b2o44b2o5bobo$14b2o58b
2o6$47bo$24b2o19bobo16b2o$3b2o19bo21b2o17bo19b2o$4bo20b3o34b3o20bo$2bo
24bo34bo24bo$2b5o14b2o44b2o14b5o$7bo13bo2bo40bo2bo13bo$4b3o12bobob2o
40b2obobo12b3o$3bo15b2obo44bob2o15bo$3b4o15bo44bo15b4o$b2o3bo3b2o10b3o
40b3o10b2o3bo3b2o$o2b3o4b2o13bo38bo13b2o4b3o2bo$2obo20b2o15b2o21b2o20b
ob2o$3bo37b2o43bo$3b2o80b2o3$11b2o64b2o$12bo64bo$9b3o22b2o5b2o4b2o5b2o
22b3o$9bo17b2o5bobo4b2o4b2o4bobo5b2o17bo$27b2o7bo16bo7b2o$36b2o14b2o2$
23bo42bo$22bobob2o34b2obobo$22bobobobo32bobobobo$19b2obobobobo2bo26bo
2bobobobob2o$19bo2bo2b2ob4o26b4ob2o2bo2bo$21b2o4bo34bo4b2o$27bobo30bob
o$28b2o30b2o!

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 10:21 am
by Freywa
gameoflifemaniac wrote: July 9th, 2020, 8:43 am awesome!

Code: Select all

x = 90, y = 50, rule = B3/S23
20b2o46b2o$20bobo44bobo$22bo4b2o32b2o4bo$18b4ob2o2bo2bo28bo2bo2b2ob4o$
18bo2bobobobob2o28b2obobobobo2bo$21bobobobo34bobobobo$22b2obobo34bobob
2o$26bo36bo2$12b2o62b2o$13bo7b2o44b2o7bo$13bobo5b2o44b2o5bobo$14b2o58b
2o6$47bo$24b2o19bobo16b2o$3b2o19bo21b2o17bo19b2o$4bo20b3o34b3o20bo$2bo
24bo34bo24bo$2b5o14b2o44b2o14b5o$7bo13bo2bo40bo2bo13bo$4b3o12bobob2o
40b2obobo12b3o$3bo15b2obo44bob2o15bo$3b4o15bo44bo15b4o$b2o3bo3b2o10b3o
40b3o10b2o3bo3b2o$o2b3o4b2o13bo38bo13b2o4b3o2bo$2obo20b2o15b2o21b2o20b
ob2o$3bo37b2o43bo$3b2o80b2o3$11b2o64b2o$12bo64bo$9b3o22b2o5b2o4b2o5b2o
22b3o$9bo17b2o5bobo4b2o4b2o4bobo5b2o17bo$27b2o7bo16bo7b2o$36b2o14b2o2$
23bo42bo$22bobob2o34b2obobo$22bobobobo32bobobobo$19b2obobobobo2bo26bo
2bobobobob2o$19bo2bo2b2ob4o26b4ob2o2bo2bo$21b2o4bo34bo4b2o$27bobo30bob
o$28b2o30b2o!
That's been thought of before, right?

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 10:38 am
by dvgrn
Freywa wrote: July 9th, 2020, 10:21 amThat's been thought of before, right?
Sure, years ago (David Bell). And Paul's post mentioned it but didn't show it.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 11:03 am
by pcallahan
dvgrn wrote: July 9th, 2020, 10:38 am
Freywa wrote: July 9th, 2020, 10:21 amThat's been thought of before, right?
Sure, years ago (David Bell). And Paul's post mentioned it but didn't show it.
It doesn't surprise me that this construction was made before with snarks, but I didn't recall that thread. (I see I posted, and I just barely remember finding this "failed stable reflector" in the first place) I think this is the first time it's been started with a glider from infinity.

There are a lot of ways to reflect a glider off that reaction, but most are inaccessible in the larger oscillator. Here's one that works and rephases the glider by an odd number.

Code: Select all

x = 142, y = 85, rule = B3/S23
23b2o$23bobo$25bo4b2o$21b4ob2o2bo2bo$21bo2bobobobob2o$24bobobobo87bobo
$25b2obobo87b2o$29bo89bo2$15b2o$16bo7b2o$16bobo5b2o$17b2o30bo$47b3o$
46bo$46b2o69b2o3b2o$115b3obo2b2o$114bo4bo$114bo2b2ob4o$27b2o84b2obobob
o2bo$27bo46bo39bobobobo$28b3o41b3o39bobob2o$30bo40bo43bo$3b2o66b2o$4bo
123b2o$2bo29b2o85b2o7bo$2b5o14b2o9b2o85b2o5bobo$7bo13bo104b2o$4b3o12bo
bo$3bo15b2o33b2o$3b4o36b2o9b2o$b2o3bo3b2o30bo2bo$o2b3o4b2o31bobo$2obo
40bo12b2o$3bo53b2o57b2o$3b2o98bo13bo19b2o$102bobo9b3o20bo$31bob2o44b2o
19b2o3bo8bo24bo$11b2o16b3ob2o13b2o18b2o9b2o19b2o17b2o14b5o$12bo15bo19b
2o17bo2bo17bo10b2o2bo13bo2bo13bo$9b3o17b3ob2o6b2o25bobo17bo11bo2bo13b
2obobo12b3o$9bo21bobo7b2o26bo18bo12bo17bob2o15bo$31bobo70bo14bo15b4o$
32bo68bo2bo2bobo7b3o10b2o3bo3b2o$94bo6bo2bo3b2o6bo13b2o4b3o2bo$56bob2o
34bo7b2o4bo7b2o20bob2o$54b3ob2o13b2o19bo43bo$53bo19b2o12b2o48b2o$54b3o
b2o6b2o19b2o$56bobo7b2o$56bobo70b2o$57bo71bo$93b2o4b2o5b2o22b3o$93b2o
4b2o4bobo5b2o17bo$105bo7b2o$104b2o2$118bo$114b2obobo$113bobobobo$110bo
2bobobobob2o$110b4ob2o2bo2bo$54bo59bo4b2o$54b3o55bobo$57bo54b2o$56b2o
7$66b2o$59b2o5bobo$59b2o7bo$68b2o2$55bo$54bobob2o$54bobobobo$51b2obobo
bobo2bo$51bo2bo2b2ob4o$53b2o4bo$59bobo$60b2o!
Another old pattern I forgot about:

Code: Select all

x = 50, y = 52
3bo$3b3o$6bo$5b2o$24b2o$24bo$22bobo$22b2o5$5bo$3bobo$4b2o5$9bo$8bobo$
9b2o8$2b2o$bobo$bo$2o$19b2o$19bo$20b3o$22bo13$47b2o$47bobo$47bo!
I don't think this has much potential, at least if you somehow use the original glider as the reset. The most you will do is shift diagonals.

Update: Reflectors (based on 3 block shifter) combined into into an oscillator. I used bandersnatches to correct the phase and I'm not sure if there is anything simpler.

Code: Select all

x = 390, y = 367, rule = B3/S23
10$280b2o$280bobo$282bo4b2o$278b4ob2o2bo2bo$278bo2bobobobob2o$281bobob
obo$282b2obobo$286bo2$272b2o$273bo7b2o$273bobo5b2o$274b2o7$284b2o$228b
2o54bo$227bobo55b3o$221b2o4bo59bo$219bo2bo2b2ob4o$219b2obobobobo2bo$
222bobobobo$222bobob2o$223bo2$236b2o$227b2o7bo$209bo17b2o5bobo4b2o4b2o
$209b3o22b2o5b2o4b2o$212bo71bo$211b2o70bobo$274b2o7bobo$274b2o6b2ob3o$
203b2o62b2o19bo$203bo37b2o24b2o13b2ob3o$200b2obo20b2o15b2o39b2obo$200b
o2b3o4b2o13bo$201b2o3bo3b2o10b3o84bo$203b4o15bo85bobo$203bo15b2obo49bo
26b2o7bobo21bo$204b3o12bobob2o46bobo25b2o6b2ob3o17b3o$207bo13bo2bo46bo
2bo17b2o19bo15bo$202b5o14b2o38b2o9b2o18b2o13b2ob3o16b2o$202bo24bo33b2o
44b2obo$204bo20b3o$203b2o19bo112b2o$224b2o57b2o53bo$283b2o12bo40bob2o$
277bo18bobo31b2o4b3o2bo$276b2o18bo2bo30b2o3bo3b2o$276bobo7b2o9b2o36b4o
$286b2o33b2o15bo$320bobo12b3o$214b2o104bo13bo$213bobo5b2o85b2o9b2o14b
5o$213bo7b2o85b2o29bo$212b2o123bo$269b2o66b2o$226bo43bo40bo$222b2obobo
39b3o41b3o$221bobobobo39bo46bo$218bo2bobobob2o84b2o$218b4ob2o2bo$222bo
4bo$218b2o2bob3o$218b2o3b2o69b2o$295bo$292b3o$292bo30b2o$316b2o5bobo$
316b2o7bo$325b2o$334b2o$312bo20bobo$311bobob2o10b2o4bo$311bobobobo7bo
2bo2b2ob4o$308b2obobobobo2bo4b2obobobobo2bo$308bo2bo2b2ob4o7bobobobo$
310b2o4bo11bobob2o$316bobo10bo$317b2o$342b2o$333b2o7bo$333b2o5bobo$
314bo25b2o$314b3o$317bo$316b2o3$305b2ob2o$305b2obo21b2o18b2o$308bo22bo
18bo$308b3o4b2o11b3o21bo$306b2o3bo3b2o11bo2b3o14b5o$305bo2b4o18bo2bo
13bo$305b2obo15b2o3b2o2bobo12b3o$306bo2b3o12bobo7b2o15bo$306bo5bo13bo
21b4o$307b5o14b2o15b2o3bo3b2o$309bo33b2o4b3o2bo$351bob2o$351bo$350b2o
3$342b2o$342bo$343b3o$345bo4$335b2o5b2o$335b2o5b2o5$342b2o$342b2o7$60b
2o106bo$60bobo105b2o$62bo4b2o98bobo$58b4ob2o2bo2bo$58bo2bobobobob2o$
61bobobobo$62b2obobo259b2o$66bo260b2o2$52b2o$53bo7b2o$53bobo5b2o$54b2o
254b2o24b2o$311bo24b2o$311bobo$84bo227b2o$82b3o195bo48b2o$81bo198b3o
45bo2bo33bo$81b2o200bo44bobo32b3o$64b2o216b2o45bo8b2o22bo$64bo273b2o
22b2o$65b3o21b2o$67bo22bo$90bob2o276b2o$82b2o4b3o2bo277bo$82b2o3bo3b2o
278bob2o$87b4o272b2o4b3o2bo$73b2o15bo244b2obo24b2o3bo3b2o$54bo17bobo
12b3o233b2o10b2ob3o27b4o$46b3o4bobo16bo13bo209b2o25b2o16bo12b2o15bo$
48bo4bobo15b2o14b5o204b2o37b2ob3o12bobo12b3o$47bo3b3ob2o34bo227b2o15bo
bo14bo13bo$50bo16b2o20bo229b2o15bobo13b2o14b5o$51b3ob2o10b2o20b2o183b
2o61bo34bo$53bob2o217b2o9b2o83bo$284bo2bo82b2o$284bobo$285bo16b2o24b2o
$303bo24b2o$86bo216bobo$85bobo216b2o$52b2o31bobo7b2o198b2obo22b2o$52b
2o8bo20b3ob2o6b2o183b2o13b2ob3o19bo2bo$61bobo18bo19b2o176b2o19bo18bobo
$60bo2bo19b3ob2o13b2o183b2o6b2ob3o20bo8b2o$61b2o22bob2o198b2o7bobo31b
2o$78b2o216bobo$78bobo216bo$54b2o24bo$54b2o24b2o16bo$97bobo$12b2o82bo
2bo$13bo83b2o9b2o217b2obo$11bo34bo61b2o183b2o20b2o10b2ob3o$11b5o14b2o
13bobo15b2o229bo20b2o16bo$16bo13bo14bobo15b2o227bo34b2ob3o3bo$13b3o12b
obo12b3ob2o37b2o204b5o14b2o15bobo4bo$12bo15b2o12bo16b2o25b2o209bo13bo
16bobo4b3o$12b4o27b3ob2o10b2o233b3o12bobo17bo$10b2o3bo3b2o24bob2o244bo
15b2o$9bo2b3o4b2o272b4o$9b2obo278b2o3bo3b2o$12bo277bo2b3o4b2o$12b2o
276b2obo$293bo22bo$293b2o21b3o$20b2o22b2o273bo$21bo22b2o8bo45b2o216b2o
$18b3o32bobo44bo200b2o$18bo33bo2bo45b3o198bo$53b2o48bo195b3o$70b2o227b
o$70bobo$46b2o24bo$46b2o24b2o254b2o$321b2o5bobo$321b2o7bo$330b2o2$55b
2o260bo$55b2o259bobob2o$316bobobobo$313b2obobobobo2bo$313bo2bo2b2ob4o$
315b2o4bo$321bobo$322b2o7$40b2o$40b2o5$40b2o5b2o$40b2o5b2o4$38bo$38b3o
$41bo$40b2o3$32b2o$32bo$29b2obo$29bo2b3o4b2o33bo$30b2o3bo3b2o15b2o14b
5o$32b4o21bo13bo5bo$32bo15b2o7bobo12b3o2bo$33b3o12bobo2b2o3b2o15bob2o$
36bo13bo2bo18b4o2bo$31b5o14b3o2bo11b2o3bo3b2o$31bo21b3o11b2o4b3o$33bo
18bo22bo$32b2o18b2o21bob2o$74b2ob2o3$66b2o$66bo$67b3o$42b2o25bo$41bobo
5b2o$41bo7b2o$40b2o$65b2o$54bo10bobo$50b2obobo11bo4b2o$49bobobobo7b4ob
2o2bo2bo$46bo2bobobobob2o4bo2bobobobob2o$46b4ob2o2bo2bo7bobobobo$50bo
4b2o10b2obobo$48bobo20bo$48b2o$57b2o$58bo7b2o$58bobo5b2o$59b2o30bo$89b
3o$88bo$88b2o69b2o3b2o$157b3obo2b2o$156bo4bo$156bo2b2ob4o$69b2o84b2obo
bobo2bo$69bo46bo39bobobobo$70b3o41b3o39bobob2o$72bo40bo43bo$45b2o66b2o
$46bo123b2o$44bo29b2o85b2o7bo$44b5o14b2o9b2o85b2o5bobo$49bo13bo104b2o$
46b3o12bobo$45bo15b2o33b2o$45b4o36b2o9b2o7bobo$43b2o3bo3b2o30bo2bo18b
2o$42bo2b3o4b2o31bobo18bo$42b2obo40bo12b2o$45bo53b2o57b2o$45b2o112bo
19b2o$156b3o20bo$73bob2o44b2o33bo24bo$53b2o16b3ob2o13b2o18b2o9b2o38b2o
14b5o$54bo15bo19b2o17bo2bo46bo2bo13bo$51b3o17b3ob2o6b2o25bobo46b2obobo
12b3o$51bo21bobo7b2o26bo49bob2o15bo$73bobo85bo15b4o$74bo84b3o10b2o3bo
3b2o$158bo13b2o4b3o2bo$98bob2o39b2o15b2o20bob2o$96b3ob2o13b2o24b2o37bo
$95bo19b2o62b2o$96b3ob2o6b2o$98bobo7b2o$98bobo70b2o$99bo71bo$135b2o4b
2o5b2o22b3o$135b2o4b2o4bobo5b2o17bo$147bo7b2o$146b2o2$160bo$156b2obobo
$155bobobobo$152bo2bobobobob2o$152b4ob2o2bo2bo$96bo59bo4b2o$96b3o55bob
o$99bo54b2o$98b2o7$108b2o$101b2o5bobo$101b2o7bo$110b2o2$97bo$96bobob2o
$96bobobobo$93b2obobobobo2bo$93bo2bo2b2ob4o$95b2o4bo$101bobo$102b2o!

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 1:31 pm
by chris_c
Here is a single engine cyclotron made with just Snarks and Bandersnatches. Plenty of room for compactification:

Code: Select all

x = 571, y = 422, rule = LifeHistory
469.2A$468.A.A$462.2A4.A$460.A2.A2.2A.4A$460.2A.A.A.A.A2.A$463.A.ABAB
AB$463.A.AB2AB$464.AB.2B$467.3B$56.2A409.4B6.2A$56.A.A406.3B2AB6.A$
58.A4.2A400.3B2AB3.BA.A$54.4A.2A2.A2.A396.10B.B2A$54.A2.A.A.A.A.2A
395.13B$56.BABABA.A397.14B$57.B2ABA.A396.15B$58.2B.BA396.4B2.8B$57.3B
398.4B5.6B$48.2A6.4B397.4B4.9B$49.A6.B2A3B394.4B5.2A4.4B$49.A.AB3.B2A
3B393.4B7.A5.4B$50.2AB.10B390.4B5.3A7.4B$52.13B388.4B6.A10.4B$52.14B
386.4B19.4B$52.15B384.4B21.4B$54.8B2.4B382.4B23.4B$54.6B5.4B380.4B25.
4B$53.9B4.4B378.4B27.4B$52.4B4.2A5.4B376.4B29.4B$51.4B5.A7.4B374.4B
31.4B$50.4B7.3A5.4B372.4B33.4B$49.4B10.A6.4B370.4B35.4B$48.4B19.4B
368.4B37.4B$47.4B21.4B366.4B39.4B$46.4B23.4B364.4B41.4B$45.4B25.4B
362.4B43.4B$44.4B27.4B360.4B45.4B$43.4B29.4B358.4B47.4B$42.4B31.4B
356.4B21.2A26.4B$41.4B33.4B354.4B21.A.A27.4B$40.4B35.4B352.4B16.2A4.A
30.4B$39.4B37.4B350.4B15.A2.A2.2A.4A27.4B$38.4B39.4B348.4B16.2A.A.A.A
.A2.A28.4B$37.4B41.4B346.4B20.A.ABABAB31.4B$36.4B43.4B344.4B21.A.AB2A
B33.4B$35.4B45.4B342.4B23.AB.2B35.4B$34.4B47.4B340.4B27.3B35.4B$33.4B
49.4B338.4B28.4B6.2A27.4B$32.4B51.4B336.4B27.3B2AB6.A29.4B$31.4B53.4B
334.4B28.3B2AB3.BA.A30.4B$30.4B55.4B332.4B27.10B.B2A32.4B$29.4B57.4B
330.4B27.13B35.4B$28.4B59.4B328.4B27.14B36.4B$27.4B61.4B326.4B27.15B
37.4B$26.4B63.4B324.4B27.4B2.8B40.4B$25.4B65.4B322.4B27.4B5.6B41.4B$
24.4B67.4B269.2A49.4B27.4B4.9B41.4B$23.4B69.4B267.A.A48.4B27.4B5.2A4.
4B41.4B$22.4B71.4B260.2A4.A49.4B27.4B7.A5.4B41.4B$21.4B73.4B257.A2.A
2.2A.4A44.4B27.4B5.3A7.4B41.4B10.2A$20.4B75.4B256.2A.A.A.A.A2.A43.4B
27.4B6.A10.4B41.4B9.A$19.4B77.4B258.A.ABABAB44.4B27.4B19.4B41.4B10.A$
18.4B79.4B257.A.AB2AB44.4B27.4B21.4B34.2A5.4B5.5A$17.4B81.4B257.AB.2B
44.4B27.4B23.4B34.A5.4B4.A$16.4B83.4B259.3B42.4B27.4B25.4B33.A.AB.7B
2.B3A$3.2A10.4B85.4B258.4B6.2A32.4B27.4B27.4B33.2AB.7B3.2B.A$4.A9.4B
87.4B232.2A21.3B2AB6.A32.4B27.4B29.4B34.12B4A$2.A10.4B89.4B230.A.A21.
3B2AB3.BA.A31.4B27.4B31.4B33.7B2A3BAB2.2A$2.5A5.4B5.2A84.4B223.2A4.A
21.10B.B2A31.4B27.4B33.4B32.7B2A2B.B3A2.A$7.A4.4B5.A86.4B220.A2.A2.2A
.4A16.13B32.4B27.4B35.4B31.10B3.B.A.2A$4.3AB2.7B.BA.A87.4B219.2A.A.A.
A.A2.A15.14B31.4B27.4B37.4B29.8B8.A$3.A.2B3.7B.B2A89.4B221.A.ABABAB
16.15B30.4B27.4B39.4B27.9B7.2A$3.4A12B92.4B220.A.AB2AB16.4B2.8B31.4B
27.4B41.4B25.4B2.3B$.2A2.BA3B2A7B93.4B220.AB.2B16.4B5.6B30.4B27.4B43.
4B23.4B3.5B$A2.3AB.2B2A7B94.4B222.3B14.4B4.9B28.4B27.4B45.4B21.4B7.2A
$2A.A.B3.10B95.4B221.4B6.2A4.4B5.2A4.4B26.4B27.4B47.4B19.4B8.A$3.A8.
8B95.4B218.3B2AB6.A4.4B7.A5.4B24.4B27.4B49.4B17.4B10.3A$3.2A7.9B95.4B
217.3B2AB3.BA.A3.4B5.3A7.4B22.4B27.4B51.4B15.4B13.A$13.3B2.4B95.4B
214.10B.B2A3.4B6.A10.4B20.4B27.4B53.4B13.4B$11.5B3.4B95.4B212.13B4.4B
19.4B18.4B27.4B55.4B11.4B$11.2A7.4B95.4B210.14B3.4B21.4B16.4B27.4B57.
4B9.4B$12.A8.4B95.4B208.15B2.4B23.4B14.4B27.4B59.4B7.4B$9.3A10.4B95.
4B206.C3B2.8B3.4B25.4B12.4B27.4B61.4B5.4B$9.A13.4B95.4B204.C3B5.6B2.
4B27.4B10.4B27.BC2B63.4B3.4B$24.4B95.4B202.B3C4.13B29.4B8.4B27.2C2B
65.4B.4B$25.4B95.4B200.4B5.2A4.6B31.4B6.4B27.2B2C67.7B$26.4B95.4B198.
4B7.A5.4B33.4B4.4B27.4B69.5B$27.4B95.4B41.2A153.4B5.3A5.6B33.4B2.4B
27.4B70.5B$28.4B95.4B39.A.A152.4B6.A6.8B33.8B27.4B70.7B$29.4B95.4B32.
2A4.A153.4B13.4B2.4B33.6B27.4B70.4B.4B$30.4B95.4B29.A2.A2.2A.4A148.4B
13.4B4.4B33.4B27.4B70.4B3.4B$31.4B95.4B28.2A.A.A.A.A2.A147.4B13.4B6.
4B31.6B25.4B70.4B5.4B$32.4B95.4B30.A.ABABAB148.4B13.4B8.4B29.8B23.4B
70.4B7.4B$33.4B95.4B29.A.AB2AB148.4B13.4B10.4B27.4B2.4B21.4B70.4B9.4B
$34.4B95.4B29.AB.2B148.4B13.4B12.4B25.4B4.4B19.4B70.4B11.4B$35.4B95.
4B31.3B146.4B13.4B14.4B23.4B6.4B17.4B70.4B13.4B$36.4B95.4B30.4B6.2A
136.4B13.4B16.4B21.4B8.4B15.4B70.4B15.4B$37.4B95.4B27.3B2AB6.A136.4B
13.4B18.4B19.4B10.4B13.4B70.4B17.4B$38.4B95.4B26.3B2AB3.BA.A135.4B13.
4B20.4B6.A10.4B12.4B11.4B70.4B19.4B$39.4B95.4B23.10B.B2A135.4B13.4B
22.4B5.3A7.4B14.4B9.4B70.4B21.4B$40.4B95.4B21.13B136.4B13.4B24.4B7.A
5.4B16.4B7.4B70.4B23.4B$41.4B95.4B19.14B135.4B13.4B26.4B5.2A4.4B18.4B
5.4B70.4B25.4B$42.4B95.4B17.15B134.4B13.4B28.4B4.9B20.4B3.4B70.4B27.
4B$43.4B95.4B15.4B2.8B135.4B13.4B30.4B5.6B22.4B.4B70.4B29.4B$44.4B95.
4B13.4B5.6B134.4B13.4B32.4B2.8B23.7B70.4B31.4B$45.4B95.4B11.4B4.9B
132.4B13.4B34.15B22.5B70.4B33.4B$46.4B95.4B9.4B5.2A4.4B130.4B13.4B36.
14B22.5B69.4B35.4B$47.4B95.4B7.4B7.A5.4B128.4B13.4B38.13B21.7B67.4B
37.4B$48.4B95.4B5.4B5.3A7.4B126.4B13.4B40.10B.B2A18.4B.4B65.4B39.4B$
49.4B95.4B3.4B6.A10.4B124.4B13.4B43.3B2AB3.BA.A16.4B3.4B63.4B41.4B$
50.4B95.4B.4B19.4B122.4B13.4B44.3B2AB6.A15.4B5.4B61.4B43.4B$51.4B95.
7B21.4B120.4B13.4B47.4B6.2A13.4B7.4B59.4B45.4B$52.4B95.5B23.4B118.4B
13.4B48.3B21.4B9.4B57.4B47.4B$53.4B94.5B18.A5.4B116.4B13.4B46.AB.2B
21.4B11.4B55.4B49.4B$54.4B92.7B15.3A6.4B114.4B13.4B46.A.AB2AB19.4B13.
4B53.4B51.4B$55.4B90.4B.4B13.A10.4B112.4B13.4B47.A.ABABAB17.4B15.4B
51.4B53.4B$56.4B88.4B3.4B11.B2A10.4B110.4B13.4B45.2A.A.A.A.A2.A14.4B
17.4B49.4B55.4B$57.4B86.4B5.4B8.5B11.4B108.4B13.4B46.A2.A2.2A.4A13.4B
19.4B47.4B57.4B$58.4B84.4B7.4B7.3B3.3B8.4B106.4B13.4B49.2A4.A16.4B21.
4B45.4B59.4B$59.4B82.4B9.4B3.6B2.4B9.4B104.4B13.4B56.A.A13.4B23.4B43.
4B61.4B$60.4B80.4B11.4B.15B8.4B102.4B13.4B58.2A12.4B25.4B41.4B63.4B$
61.4B78.4B13.21B7.4B100.4B13.4B72.4B27.4B39.4B65.4B$62.4B76.4B14.13B.
8B7.4B98.4B13.4B72.4B29.4B37.4B67.4B$63.4B74.4B15.23B7.4B96.4B13.4B
72.4B31.4B35.4B69.4B$64.4B72.4B15.19B2.4B7.4B94.4B13.4B64.2A6.4B33.4B
33.4B71.4B$65.4B70.4B15.21B2.4B7.4B92.4B13.4B64.A.A5.4B35.4B31.4B73.
4B$66.4B68.4B15.2A20B3.4B7.4B90.4B13.4B65.A6.4B37.4B29.4B75.4B$67.4B
66.4B16.2A19B5.4B7.4B88.4B13.4B46.A18.2A5.4B39.4B27.4B77.4B$68.4B64.
4B18.17B9.4B7.4B86.4B13.4B46.A.A23.4B41.4B25.4B79.4B$69.4B62.4B20.16B
4.B5.4B7.4B84.4B13.4B47.A.A22.4B43.4B23.4B81.4B$70.4B60.4B21.18B.B2A
5.4B7.4B82.4B13.4B46.3A.2A20.4B45.4B21.4B83.4B$71.4B58.4B23.8B2A9B2A
6.4B7.4B80.4B13.4B46.A4.B11.2A7.4B47.4B19.4B85.4B$72.4B56.4B23.8BA2BA
7B.B8.4B7.4B78.4B13.4B48.3AB2AB2.2B4.B2AB5.4B49.4B17.4B87.4B$73.4B54.
4B23.10BABA7B11.4B7.4B76.4B13.4B51.A.2A6B.7B3.4B51.4B15.4B89.4B$74.4B
52.4B24.11BA8B12.4B7.4B74.4B13.4B54.22B53.4B13.4B91.4B$75.4B50.4B26.
18B14.4B7.4B72.4B13.4B57.19B55.4B11.4B93.4B$76.4B48.4B27.17B16.4B7.4B
70.4B13.4B57.19B57.4B9.4B95.4B$77.4B46.4B27.17B18.4B7.4B68.4B13.4B58.
18B59.4B7.4B97.4B$78.4B44.4B26.A.2AB.14B18.4B7.4B66.4B13.4B59.19B59.
4B5.4B99.4B$79.4B42.4B25.3AB2AB5.B2.B2.B2AB19.4B7.4B64.4B13.4B57.2B.
20B59.4B3.4B101.4B$80.4B40.4B25.A4.B6.3B5.2A21.4B7.4B62.4B13.4B57.2A
22B60.4B.4B103.4B$81.4B38.4B27.3A.2A5.B2AB28.4B7.4B60.4B13.4B58.2AB.
6BA13B61.7B105.4B$82.4B36.4B30.A.A7.2A30.4B7.4B58.4B13.4B60.B2.5BABA
14B60.5B107.4B$83.4B34.4B31.A.A40.4B7.4B56.4B13.4B63.5BA2BA14B60.5B
108.4B$84.4B32.4B33.A42.4B7.4B54.4B13.4B65.5B2A16B58.7B108.4B$85.4B
30.4B78.4B7.4B52.4B13.4B66.19B2.B2A56.4B.4B108.4B10.2A$86.4B28.4B80.
4B7.4B50.4B13.CBCB66.20B2.BA.A54.4B3.4B108.4B9.A$87.4B26.4B82.4B7.4B
48.4B13.B2CB66.2A16B.3B4.A53.4B5.4B108.4B10.A$88.4B24.4B84.4B7.4B46.
4B13.3BC67.2A21B3.2A51.4B7.4B101.2A5.4B5.5A$89.4B22.4B86.4B7.4B44.4B
13.4B69.2B.7B2.10B55.4B9.4B101.A5.4B4.A$90.4B20.4B88.4B7.4B42.4B13.4B
74.6B2.10B54.4B11.4B100.A.AB.7B2.B3A$91.4B18.4B90.4B7.4B40.4B13.4B76.
4B3.8B55.4B13.4B100.2AB.7B3.2B.A$92.4B16.4B92.4B7.4B38.4B13.4B22.2A
56.2B3.2B.4B54.4B15.4B101.12B4A$93.4B14.4B94.4B7.4B36.4B13.4B23.A.A
54.B2AB5.3B54.4B17.4B100.7B2A3BAB2.2A$94.4B12.4B96.4B7.4B34.4B13.4B
26.A4.2A49.2A5.4B53.4B19.4B99.7B2A2B.B3A2.A$95.4B10.4B98.4B.2B4.4B32.
4B13.4B23.4A.2A2.A2.A53.4B53.4B21.4B98.10B3.B.A.2A$96.4B8.4B100.7B4.
4B30.4B13.4B24.A2.A.A.A.A.2A52.4B53.4B23.4B96.8B8.A$97.4B6.4B102.7B4.
4B28.4B13.4B27.BABABA.A54.4B53.4B25.4B94.9B7.2A$98.4B4.4B103.8B4.4B7.
B18.4B13.4B29.B2ABA.A27.A25.4B53.4B27.4B92.4B2.3B$99.4B2.4B103.10B4.
4B5.4B7.2B6.4B13.4B31.2B.BA27.A.A23.4B53.4B29.4B90.4B3.5B$100.8B103.
4B.7B4.4B2.6B2.8B4.4B13.4B31.3B30.A.A22.4B53.4B31.4B10.2A76.4B7.2A$
101.6B103.4B3.7B4.21B3.4B13.4B23.2A6.4B28.3A.2A20.4B53.4B33.4B9.A76.
4B8.A$102.4B103.4B5.7B4.19B3.4B13.4B25.A6.B2A3B25.A4.B11.2A7.4B53.4B
35.4B10.A73.4B10.3A$101.6B101.4B7.7B3.19B2.6B11.4B26.A.AB3.B2A3B26.3A
B2AB2.2B4.B2AB5.4B53.4B30.2A5.4B5.5A72.4B13.A$100.8B99.4B9.7B2.29B8.
4B28.2AB.10B26.A.2A6B.7B3.4B53.4B32.A5.4B4.A76.4B$99.4B2.4B97.4B11.7B
.30B6.4B31.13B27.22B53.4B33.A.AB.7B2.B3A72.4B$98.4B4.4B95.4B13.37B5.
4B32.14B28.19B53.4B35.2AB.7B3.2B.A70.4B$97.4B6.4B93.4B15.35B5.4B33.
15B26.19B53.4B38.12B4A69.4B$96.4B8.4B91.4B17.37B.4B36.8B2.4B25.18B53.
4B39.7B2A3BAB2.2A66.4B$95.4B10.4B89.4B18.41B37.6B5.4B24.19B51.4B40.7B
2A2B.B3A2.A64.4B$94.4B12.4B87.4B18.41B37.9B4.4B20.2B.20B49.4B41.10B3.
B.A.2A63.4B$93.4B14.4B85.4B18.41B37.4B4.2A5.4B18.2A22B48.4B41.8B8.A
65.4B$92.4B16.4B83.4B18.4B.37B36.4B5.A7.4B17.2AB.6BA13B47.4B41.9B7.2A
64.4B$91.4B18.4B81.4B18.4B2.36B36.4B7.3A5.4B17.B2.5BABA14B44.4B41.4B
2.3B73.4B$90.4B20.4B79.4B18.4B4.35B35.4B10.A6.4B18.5BA2BA14B43.4B41.
4B3.5B70.4B$89.4B22.4B77.4B18.4B5.21B4.9B35.4B19.4B18.5B2A16B41.4B41.
4B7.2A69.4B$88.4B24.4B75.4B18.4B7.B2.18B3.6B37.4B21.4B17.19B2.B2A39.
4B41.4B8.A69.4B$87.4B26.4B73.4B18.4B12.17B2.8B35.4B23.4B15.20B2.BA.A
37.4B41.4B10.3A65.4B$86.4B28.4B71.4B18.4B15.15B2.9B33.4B25.4B13.2A16B
.3B4.A36.4B41.4B13.A64.4B$85.4B30.4B69.4B18.4B17.15B.10B31.4B27.4B12.
2A21B3.2A34.4B41.4B78.4B$84.4B32.4B67.4B18.4B19.15B.10B29.4B29.4B12.
2B.7B2.10B38.4B41.4B78.4B$83.4B34.4B65.4B18.4B21.20B2.4B27.4B31.4B15.
6B2.10B37.4B41.4B78.4B$82.4B36.4B63.4B18.4B23.19B3.4B25.4B33.4B15.4B
3.8B38.4B41.4B78.4B$81.4B38.4B61.4B18.4B25.19B3.4B23.4B35.4B17.2B3.2B
.4B37.4B41.4B78.4B$80.4B40.4B59.4B18.4B27.18B4.4B21.4B37.4B15.B2AB5.
3B37.4B41.4B78.4B$79.4B42.4B57.4B18.4B29.17B5.4B19.4B39.4B15.2A5.4B
36.4B41.4B78.4B$78.4B44.4B55.4B18.4B31.2BC14B5.4B17.4B41.4B20.4B36.4B
41.4B78.4B$77.4B46.4B53.4B18.4B33.2B2C12B6.4B15.4B43.4B18.4B36.4B41.
4B78.4B$76.4B48.4B51.4B18.4B34.B2C14B.3B2.4B13.4B45.4B16.4B36.4B41.4B
78.4B$75.4B50.4B49.4B18.4B36.20B.6B11.4B47.4B14.4B36.4B41.4B78.4B$74.
4B52.4B47.4B18.4B37.28B9.4B49.4B12.4B36.4B41.4B78.4B$73.4B54.4B45.4B
18.4B37.6B.23B7.4B51.4B10.4B36.4B41.4B78.4B$72.4B56.4B43.4B18.4B38.B
3CB3.23B5.4B53.4B8.4B36.4B41.4B78.4B$71.4B58.4B41.4B18.4B39.3BCB3.24B
3.4B55.4B6.4B36.4B41.4B78.4B$70.4B60.4B39.4B18.4B39.3BC.2B2.25B.4B57.
4B4.4B36.4B41.4B78.4B$69.4B62.4B37.4B18.4B39.8B2.29B59.4B2.4B36.4B41.
4B78.4B$68.4B64.4B35.4B18.4B39.39B61.8B36.4B41.4B78.4B$67.4B66.4B33.
4B18.4B39.40B62.6B36.4B41.4B78.4B$66.4B68.4B31.4B18.4B39.4B.37B62.4B
36.4B41.4B78.4B$65.4B70.4B29.4B18.4B39.4B2.33B.4B60.6B34.4B41.4B78.4B
$64.4B72.4B27.4B18.4B39.4B4.31B3.4B58.8B32.4B41.4B78.4B$63.4B74.4B25.
4B18.4B39.4B6.28B6.4B56.4B2.4B30.4B41.4B78.4B$62.4B76.4B23.4B18.4B39.
4B11.B5.17B8.4B54.4B4.4B28.4B41.4B78.4B$61.4B78.4B21.4B18.4B39.4B19.
16B9.4B52.4B6.4B26.4B41.4B78.4B$60.4B80.4B19.4B18.4B39.4B20.16B10.4B
50.4B8.4B24.4B41.4B78.4B$59.4B82.4B17.4B18.4B39.4B23.14B11.4B48.4B10.
4B22.4B41.4B78.4B$58.4B84.4B15.4B18.4B39.4B27.12B11.4B46.4B12.4B20.4B
41.4B78.4B$57.4B86.4B13.4B18.4B39.4B29.6B2.4B11.4B44.4B14.4B18.4B41.
4B78.4B$56.4B88.4B11.4B18.4B39.4B30.4B5.4B11.4B42.4B16.4B16.4B41.4B
78.4B$55.4B90.4B9.4B18.4B39.4B33.B7.4B11.4B40.4B18.4B14.4B41.4B78.4B$
54.4B92.4B7.4B18.4B39.4B43.4B11.4B38.4B20.4B12.4B41.4B78.4B$53.4B94.
4B5.4B18.4B39.4B45.4B11.4B36.4B22.4B10.4B41.4B78.4B$52.4B96.4B3.4B18.
4B39.4B47.4B11.4B34.4B24.4B8.4B41.4B78.4B$51.4B98.4B.4B18.4B39.4B49.
4B11.4B32.4B26.4B6.4B41.4B78.4B$50.4B100.7B18.4B39.4B51.4B11.4B30.4B
28.4B4.4B41.4B78.4B$49.4B102.5B18.4B39.4B53.4B11.4B28.4B30.4B2.4B41.
4B78.4B$48.4B103.5B6.A10.4B39.4B55.4B11.4B26.4B32.8B41.4B78.4B$47.4B
103.7B5.3A7.4B39.4B57.4B11.4B24.4B34.6B41.4B78.4B$46.4B103.4B.4B7.A5.
4B39.4B59.4B11.4B22.4B36.4B41.4B78.4B$31.A13.4B103.4B3.4B5.2A4.4B39.
4B61.4B11.4B20.4B36.6B39.4B78.4B$31.3A10.4B103.4B5.4B4.9B39.4B63.4B
11.4B18.4B36.8B37.4B78.4B$34.A8.4B103.4B7.4B5.6B39.4B65.4B11.4B16.4B
36.4B2.4B35.4B78.4B$33.2A7.4B103.4B9.4B2.8B38.4B67.4B11.4B14.4B36.4B
4.4B33.4B78.4B$33.5B3.4B103.4B11.15B35.4B69.4B11.4B12.4B36.4B6.4B31.
4B78.4B$35.3B2.4B103.4B13.14B34.4B71.4B11.4B10.4B36.4B8.4B29.4B78.4B$
25.2A7.9B103.4B15.13B33.4B73.4B11.4B8.4B36.4B10.4B27.4B78.4B$25.A8.8B
103.4B17.10B.B2A30.4B75.4B11.4B2.2B2.4B36.4B12.4B25.4B78.4B$22.2A.A.B
3.10B103.4B20.3B2AB3.BA.A28.4B77.4B11.12B36.4B14.4B23.4B78.4B$22.A2.
3AB.2B2A7B102.4B21.3B2AB6.A27.4B79.4B11.10B36.4B16.4B21.4B78.4B$23.2A
2.BA3B2A7B101.4B24.4B6.2A25.4B81.4B9.12B34.4B18.4B19.4B78.4B$25.4A12B
100.4B25.3B33.4B83.4B7.14B32.4B20.4B17.4B78.4B$25.A.2B3.7B.B2A97.4B
23.AB.2B33.4B85.4B5.16B30.4B22.4B15.4B78.4B$26.3AB2.7B.BA.A95.4B23.A.
AB2AB31.4B87.4B3.4B4.2B4.4B28.4B24.4B13.4B78.4B$29.A4.4B5.A94.4B24.A.
ABABAB29.4B89.4B.4B4.B2AB4.4B26.4B26.4B11.4B78.4B$24.5A5.4B5.2A92.4B
22.2A.A.A.A.A2.A26.4B91.7B6.2A6.4B24.4B28.4B9.4B78.4B$24.A10.4B97.4B
23.A2.A2.2A.4A25.4B93.5B16.4B22.4B30.4B7.4B78.4B$26.A9.4B18.A76.4B26.
2A4.A28.4B94.5B17.4B20.4B32.4B5.4B78.4B$25.2A10.4B15.3A75.4B33.A.A25.
4B94.7B17.4B18.4B34.4B3.4B78.4B$38.4B13.A77.4B35.2A24.4B94.4B.4B17.4B
16.4B36.4B.4B78.4B$39.4B11.B2A75.4B61.4B94.4B3.4B17.4B14.4B38.7B78.4B
$40.4B8.5B74.4B61.4B94.4B5.4B17.4B12.4B40.5B78.4B$41.4B7.3B3.3B69.4B
61.4B94.4B7.4B17.4B10.4B41.5B77.4B$42.4B3.6B2.4B68.4B61.4B94.4B9.4B
17.4B8.4B41.7B75.4B$43.4B.15B65.4B61.4B94.4B11.4B17.4B6.4B41.4B.4B73.
4B$44.21B62.4B61.4B94.4B13.4B17.4B4.4B41.4B3.4B71.4B$44.13B.8B60.4B
61.4B94.4B15.4B17.4B2.4B41.4B5.4B69.4B$44.23B58.4B61.4B94.4B17.4B17.
8B41.4B7.4B67.4B$43.19B2.4B56.4B61.4B94.4B19.4B17.6B41.4B9.4B65.4B$
42.21B2.4B54.4B61.4B94.4B21.4B10.A6.4B41.4B11.4B63.4B$41.2A20B3.4B52.
4B61.4B94.4B23.4B7.3A5.6B39.4B13.4B61.4B$41.2A19B5.4B50.4B61.4B94.4B
25.4B5.A7.8B37.4B15.4B59.4B$42.17B9.4B48.4B61.4B94.4B27.4B4.2A5.4B2.
4B35.4B17.4B57.4B$43.16B4.B5.4B46.4B61.4B94.4B29.9B4.4B4.4B33.4B19.4B
55.4B$43.18B.B2A5.4B44.4B61.4B94.4B31.6B5.4B6.4B31.4B21.4B53.4B$44.8B
2A9B2A6.4B42.4B61.4B94.4B32.8B2.4B8.4B29.4B23.4B51.4B$43.8BA2BA7B.B8.
4B40.4B61.4B94.4B31.15B10.4B27.4B25.4B49.4B$42.10BABA7B11.4B38.4B61.
4B94.4B32.14B12.4B25.4B27.4B47.4B$42.11BA8B12.4B36.4B61.4B94.4B33.13B
14.4B23.4B29.4B45.4B$43.18B14.4B34.4B61.4B94.4B32.2AB.10B16.4B21.4B
31.4B43.4B$43.17B16.4B32.4B61.4B94.4B32.A.AB3.B2A3B19.4B19.4B33.4B41.
4B$42.17B18.4B30.4B61.4B94.4B33.A6.B2A3B20.4B10.A6.4B35.4B39.4B$40.A.
2AB.14B18.4B28.4B61.4B94.4B33.2A6.4B23.4B7.3A5.4B37.4B37.4B$38.3AB2AB
5.B2.B2.B2AB19.4B26.4B61.4B94.4B43.3B24.4B5.A7.4B39.4B35.4B$37.A4.B6.
3B5.2A21.4B24.4B61.4B94.4B45.2B.BA22.4B4.2A5.4B41.4B33.4B$38.3A.2A5.B
2AB28.4B22.C3B61.4B94.4B45.B2ABA.A22.9B4.4B43.4B31.4B$40.A.A7.2A30.4B
20.B2CB61.4B94.4B45.BABABA.A23.6B5.4B45.4B29.4B$40.A.A40.4B18.BCBC61.
4B94.4B44.A2.A.A.A.A.2A20.8B2.4B47.4B27.4B$41.A42.4B16.4B61.4B94.4B
45.4A.2A2.A2.A18.15B49.4B25.4B$85.4B14.4B61.4B94.4B50.A4.2A20.14B51.
4B23.4B$86.4B12.4B61.4B94.4B49.A.A26.13B53.4B21.4B$87.4B10.4B61.4B94.
4B50.2A25.2AB.10B55.4B19.4B$88.4B8.4B61.4B94.4B77.A.AB3.B2A3B58.4B10.
A6.4B$89.4B6.4B61.4B94.4B78.A6.B2A3B59.4B7.3A5.4B$90.4B4.4B61.4B94.4B
78.2A6.4B62.4B5.A7.4B$91.4B2.4B61.4B94.4B88.3B63.4B4.2A5.4B$92.8B61.
4B94.4B90.2B.BA61.9B4.4B$93.6B61.4B94.4B90.B2ABA.A61.6B5.4B$94.4B61.
4B94.4B90.BABABA.A61.8B2.4B$93.6B59.4B94.4B89.A2.A.A.A.A.2A56.15B$92.
8B57.4B94.4B90.4A.2A2.A2.A56.14B$91.4B2.4B55.4B94.4B95.A4.2A58.13B$
90.4B4.4B53.4B94.4B94.A.A62.2AB.10B$89.4B6.4B51.4B94.4B95.2A62.A.AB3.
B2A3B$88.4B8.4B49.4B94.4B160.A6.B2A3B$87.4B10.4B47.4B94.4B160.2A6.4B$
86.4B12.4B45.4B94.4B170.3B$85.4B14.4B43.4B94.4B172.2B.BA$84.4B16.4B
41.4B94.4B172.B2ABA.A$83.4B18.4B39.4B94.4B172.BABABA.A$82.4B20.4B37.
4B94.4B171.A2.A.A.A.A.2A$81.4B22.4B35.4B94.4B172.4A.2A2.A2.A$80.4B24.
4B33.4B94.4B177.A4.2A$79.4B26.4B31.4B94.4B176.A.A$78.4B28.4B29.4B94.
4B177.2A$77.4B30.4B27.4B94.4B$76.4B32.4B25.4B94.4B$75.4B34.4B23.4B94.
4B$74.4B36.4B21.4B94.4B$73.4B38.4B19.4B94.4B$72.4B40.4B10.A6.4B94.4B$
71.4B42.4B7.3A5.4B94.4B$70.4B44.4B5.A7.4B94.4B$69.4B46.4B4.2A5.4B94.
4B$68.4B48.9B4.4B94.4B$67.4B50.6B5.4B94.4B$66.4B51.8B2.4B94.4B$65.4B
50.15B94.4B$64.4B51.14B94.4B$63.4B52.13B94.4B$62.4B51.2AB.10B94.4B$
61.4B51.A.AB3.B2A3B95.4B$60.4B52.A6.B2A3B94.4B$59.4B52.2A6.4B95.4B$
58.4B62.3B94.4B$57.4B64.2B.BA90.4B$56.4B64.B2ABA.A88.4B$55.4B64.BABAB
A.A87.4B$54.4B63.A2.A.A.A.A.2A83.4B$53.4B64.4A.2A2.A2.A82.4B$52.4B69.
A4.2A83.4B$51.4B68.A.A88.4B$50.4B69.2A88.4B$49.4B159.4B$36.2A10.4B
159.4B$37.A9.4B159.4B$35.A10.4B159.4B$35.5A5.4B5.2A152.4B$40.A4.4B5.A
152.4B$37.3AB2.7B.BA.A151.4B$36.A.2B3.7B.B2A151.4B$36.4A12B152.4B$34.
2A2.BA3B2A7B151.4B$33.A2.3AB.2B2A7B150.4B$33.2A.A.B3.10B149.4B$36.A8.
8B147.4B$36.2A7.9B145.4B$46.3B2.4B143.4B$44.5B3.4B141.4B$44.2A7.4B
139.4B$45.A8.4B137.4B$42.3A10.4B135.4B$42.A13.4B133.4B$57.4B131.4B$
58.4B129.4B$59.4B127.4B$60.4B125.4B$61.4B123.4B$62.4B121.4B$63.4B119.
4B$64.4B117.4B$65.4B115.4B$66.4B113.4B$67.4B111.4B$68.4B109.4B$69.4B
107.4B$70.4B105.4B$71.4B103.4B$72.4B101.4B$73.4B99.4B$74.4B97.4B$75.
4B95.4B$76.4B93.4B$77.4B91.4B$78.4B89.4B$79.4B87.4B$80.4B85.4B$81.4B
83.4B$82.4B81.4B$83.4B79.4B$84.4B77.4B$85.4B75.4B$86.4B73.4B$87.4B71.
4B$88.4B69.4B$89.4B67.4B$90.4B65.4B$91.4B63.4B$92.4B61.4B$93.4B59.4B$
94.4B57.4B$95.4B55.4B$96.4B53.4B$97.4B51.4B$98.4B49.4B$99.4B47.4B$
100.4B45.4B$101.4B43.4B$102.4B41.4B$103.4B39.4B$104.4B37.4B$105.4B35.
4B$106.4B33.4B$107.4B31.4B$108.4B29.4B$109.4B27.4B$110.4B25.4B$111.4B
23.4B$112.4B21.4B$113.4B19.4B$114.4B6.A10.4B$115.4B5.3A7.4B$116.4B7.A
5.4B$117.4B5.2A4.4B$118.4B4.9B$119.4B5.6B$120.4B2.8B$121.15B$122.14B$
123.13B$124.10B.B2A$126.3B2AB3.BA.A$126.3B2AB6.A$128.4B6.2A$128.3B$
125.AB.2B$124.A.AB2AB$124.A.ABABAB$121.2A.A.A.A.A2.A$121.A2.A2.2A.4A$
123.2A4.A$129.A.A$130.2A!

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 1:53 pm
by pcallahan
chris_c wrote: July 9th, 2020, 1:31 pm Here is a single engine cyclotron made with just Snarks and Bandersnatches. Plenty of room for compactification:
Is there a way to turn that into a gun? BTW, I am personally less interested in compactification. I find sparse patterns a lot easier to understand.

Specifically, is there any way to rescue one of those colliding gliders? (I see. Its lane is used by another glider in the opposite direction.)

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 2:04 pm
by chris_c
pcallahan wrote: July 9th, 2020, 1:53 pm Is there a way to turn that into a gun? BTW, I am personally less interested in compactification. I find sparse patterns a lot easier to understand.

I can't see a way to make a gun. Here is another oscillator with two fewer Snarks:

Code: Select all

x = 572, y = 503, rule = LifeHistory
503.2A$503.A.A$505.A4.2A$501.4A.2A2.A2.A$501.A2.A.A.A.A.2A$503.BABABA
.A$504.B2ABA.A$505.2B.BA$504.3B$495.2A6.4B$496.A6.B2A3B$496.A.AB3.B2A
3B$497.2AB.10B$499.13B$499.14B$499.15B$501.8B2.4B$501.6B5.4B$500.9B4.
4B$499.4B4.2A5.4B$498.4B5.A7.4B$497.4B7.3A5.4B$496.4B10.A6.4B$495.4B
19.4B$494.4B21.4B$493.4B23.4B$492.4B25.4B$491.4B27.4B$490.4B29.4B$
489.4B31.4B$488.4B33.4B$487.4B35.4B$486.4B37.4B$485.4B39.4B$484.4B41.
4B$483.4B43.4B$482.4B45.4B$481.4B47.4B$480.4B49.4B$479.4B51.4B$478.4B
53.4B$477.4B55.4B$476.4B57.4B$475.4B59.4B$474.4B61.4B$473.4B63.4B$
472.4B65.4B$471.4B67.4B$470.4B69.4B$469.4B71.4B$468.4B73.4B13.A$467.
4B75.4B10.3A$466.4B77.4B8.A$465.4B79.4B7.2A$464.4B81.4B3.5B$463.4B83.
4B2.3B$462.4B85.9B7.2A$461.4B87.8B8.A$460.4B89.10B3.B.A.2A$459.4B90.
7B2A2B.B3A2.A$458.4B91.7B2A3BAB2.2A$457.4B92.12B4A$456.4B91.2AB.7B3.
2B.A$455.4B91.A.AB.7B2.B3A$454.4B92.A5.4B4.A$453.4B92.2A5.4B5.5A$452.
4B99.4B10.A$451.4B99.4B9.A$450.4B99.4B10.2A$449.4B99.4B$448.4B99.4B$
447.4B99.4B$446.4B99.4B$445.4B99.4B$444.4B99.4B$443.4B99.4B$442.4B99.
4B$441.4B99.4B$440.4B99.4B$439.4B99.4B$438.4B99.4B$437.4B99.4B$436.4B
99.4B$435.4B99.4B$434.4B99.4B$433.4B99.4B$432.4B99.4B$431.4B99.4B$
430.4B99.4B$429.4B99.4B$56.2A370.4B99.4B$56.A.A368.4B99.4B$58.A4.2A
361.4B99.4B$54.4A.2A2.A2.A358.4B99.4B$54.A2.A.A.A.A.2A357.4B99.4B$56.
BABABA.A359.4B99.4B$57.B2ABA.A358.4B99.4B$58.2B.BA358.4B99.4B$57.3B
360.4B99.4B$48.2A6.4B359.4B99.4B$49.A6.B2A3B356.4B99.4B$49.A.AB3.B2A
3B355.4B68.2A29.4B$50.2AB.10B352.4B68.A.A28.4B$52.13B350.4B5.2A56.2A
4.A29.4B$52.14B349.3B5.B2AB53.A2.A2.2A.4A24.4B$52.15B347.4B.2B3.2B54.
2A.A.A.A.A2.A23.4B$54.8B2.4B346.8B3.4B54.A.ABABAB24.4B$54.6B5.4B343.
10B2.6B53.A.AB2AB24.4B$53.9B4.4B342.10B2.7B.2B50.AB.2B24.4B$52.4B4.2A
5.4B336.2A3.21B2A52.3B22.4B$51.4B5.A7.4B336.A4.3B.16B2A52.4B6.2A12.4B
$50.4B7.3A5.4B335.A.AB2.20B51.3B2AB6.A12.4B$49.4B10.A6.4B335.2AB2.19B
52.3B2AB3.BA.A11.4B$48.4B19.4B335.16B2A5B50.10B.B2A11.4B$47.4B21.4B
335.14BA2BA5B48.13B12.4B$46.4B23.4B334.14BABA5B2.B45.14B11.4B$45.4B
25.4B335.13BA6B.B2A43.15B10.4B$44.4B27.4B334.22B2A42.4B2.8B11.4B$43.
4B29.4B333.20B.2B42.4B5.6B10.4B$42.4B31.4B333.19B44.4B4.9B8.4B$41.4B
33.4B333.18B43.4B5.2A4.4B6.4B$40.4B35.4B331.19B42.4B7.A5.4B4.4B$39.4B
37.4B329.19B42.4B5.3A7.4B2.4B$38.4B39.4B327.22B39.4B6.A10.8B$37.4B41.
4B325.4B3.7B.6B2A.A36.4B19.6B$36.4B43.4B323.4B5.B2AB4.2B2.B2AB3A33.4B
21.4B$35.4B45.4B321.4B7.2A11.B4.A31.4B21.6B$34.4B47.4B319.4B20.2A.3A
31.4B21.8B$33.4B49.4B317.4B22.A.A32.4B21.4B2.4B$32.4B51.4B315.4B23.A.
A31.4B21.4B4.4B$31.4B53.4B313.4B25.A31.4B21.4B6.4B$30.4B55.4B311.4B
57.4B21.4B8.4B$29.4B57.4B309.4B57.4B21.4B10.4B$28.4B59.4B307.4B57.4B
21.4B12.4B$27.4B61.4B305.4B5.2A50.4B21.4B14.4B$26.4B63.4B304.3B5.B2AB
48.4B21.4B16.4B$25.4B65.4B302.4B.2B3.2B48.4B21.4B18.4B$24.4B67.4B269.
2A30.8B3.4B44.4B21.4B20.4B$23.4B69.4B267.A.A28.10B2.6B42.4B21.4B22.4B
$22.4B71.4B260.2A4.A30.10B2.7B.2B37.4B21.4B24.4B$21.4B73.4B257.A2.A2.
2A.4A21.2A3.21B2A35.4B21.4B26.4B10.2A$20.4B75.4B256.2A.A.A.A.A2.A22.A
4.3B.16B2A34.4B21.4B28.4B9.A$19.4B77.4B258.A.ABABAB24.A.AB2.20B34.4B
21.4B30.4B10.A$18.4B79.4B257.A.AB2AB26.2AB2.19B34.4B21.4B25.2A5.4B5.
5A$17.4B81.4B257.AB.2B28.16B2A5B33.4B21.4B27.A5.4B4.A$16.4B83.4B259.
3B28.14BA2BA5B31.4B21.4B28.A.AB.7B2.B3A$3.2A10.4B85.4B258.4B6.2A19.
14BABA5B2.B28.4B21.4B30.2AB.7B3.2B.A$4.A9.4B87.4B232.2A21.3B2AB6.A22.
13BA6B.B2A26.4B21.4B33.12B4A$2.A10.4B89.4B230.A.A21.3B2AB3.BA.A22.22B
2A25.4B21.4B34.7B2A3BAB2.2A$2.5A5.4B5.2A84.4B223.2A4.A21.10B.B2A23.
20B.2B25.4B21.4B35.7B2A2B.B3A2.A$7.A4.4B5.A86.4B220.A2.A2.2A.4A16.13B
26.19B27.4B21.4B36.10B3.B.A.2A$4.3AB2.7B.BA.A87.4B219.2A.A.A.A.A2.A
15.14B27.18B26.4B21.4B36.8B8.A$3.A.2B3.7B.B2A89.4B221.A.ABABAB16.15B
26.19B25.4B21.4B36.9B7.2A$3.4A12B92.4B220.A.AB2AB16.4B2.8B27.19B25.4B
21.4B36.4B2.3B$.2A2.BA3B2A7B93.4B220.AB.2B16.4B5.6B26.22B22.4B21.4B
36.4B3.5B$A2.3AB.2B2A7B94.4B222.3B14.4B4.9B24.4B3.7B.6B2A.A19.4B21.4B
36.4B7.2A$2A.A.B3.10B95.4B221.4B6.2A4.4B5.2A4.4B22.4B5.B2AB4.2B2.B2AB
3A16.4B21.4B36.4B8.A$3.A8.8B95.4B218.3B2AB6.A4.4B7.A5.4B20.4B7.2A11.B
4.A14.4B21.4B36.4B10.3A$3.2A7.9B95.4B217.3B2AB3.BA.A3.4B5.3A7.4B18.4B
20.2A.3A14.4B21.4B36.4B13.A$13.3B2.4B95.4B214.10B.B2A3.4B6.A10.4B16.
4B22.A.A15.4B21.4B36.4B$11.5B3.4B95.4B212.13B4.4B19.4B14.4B23.A.A14.
4B21.4B36.4B$11.2A7.4B95.4B210.14B3.4B21.4B12.4B25.A14.4B21.4B36.4B$
12.A8.4B95.4B208.15B2.4B23.4B10.4B40.4B21.4B36.4B$9.3A10.4B95.4B206.C
3B2.8B3.4B25.4B8.4B40.4B21.BC2B36.4B$9.A13.4B95.4B204.C3B5.6B2.4B27.
4B6.4B40.4B21.2C2B36.4B$24.4B95.4B202.B3C4.13B29.4B4.4B40.4B21.2B2C
36.4B$25.4B95.4B200.4B5.2A4.6B31.4B2.4B40.4B21.4B36.4B$26.4B95.4B198.
4B7.A5.4B33.8B40.4B21.4B36.4B$27.4B95.4B41.2A153.4B5.3A5.6B33.6B40.4B
21.4B36.4B$28.4B95.4B39.A.A152.4B6.A6.8B33.4B40.4B21.4B36.4B$29.4B95.
4B32.2A4.A153.4B13.4B2.4B31.6B38.4B21.4B36.4B$30.4B95.4B29.A2.A2.2A.
4A148.4B13.4B4.4B29.8B36.4B21.4B36.4B$31.4B95.4B28.2A.A.A.A.A2.A147.
4B13.4B6.4B27.4B2.4B34.4B21.4B36.4B$32.4B95.4B30.A.ABABAB148.4B13.4B
8.4B25.4B4.4B32.4B21.4B36.4B$33.4B95.4B29.A.AB2AB148.4B13.4B10.4B23.
4B6.4B30.4B21.4B36.4B$34.4B95.4B29.AB.2B148.4B13.4B12.4B21.4B8.4B28.
4B21.4B36.4B$35.4B95.4B31.3B146.4B13.4B14.4B19.4B10.4B26.4B21.4B36.4B
$36.4B95.4B30.4B6.2A136.4B13.4B16.4B17.4B12.4B24.4B21.4B36.4B$37.4B
95.4B27.3B2AB6.A136.4B13.4B18.4B15.4B14.4B22.4B21.4B36.4B$38.4B95.4B
26.3B2AB3.BA.A135.4B13.4B20.4B13.4B16.4B20.4B21.4B36.4B$39.4B95.4B23.
10B.B2A135.4B13.4B22.4B11.4B18.4B18.4B21.4B36.4B$40.4B95.4B21.13B136.
4B13.4B24.4B9.4B20.4B16.4B21.4B36.4B$41.4B95.4B19.14B135.4B13.4B26.4B
7.4B22.4B14.4B21.4B36.4B$42.4B95.4B17.15B134.4B13.4B28.4B5.4B24.4B12.
4B21.4B36.4B$43.4B95.4B15.4B2.8B135.4B13.4B30.4B3.4B26.4B10.4B21.4B
36.4B$44.4B95.4B13.4B5.6B134.4B13.4B32.4B.4B28.4B8.4B21.4B36.4B$45.4B
95.4B11.4B4.9B132.4B13.4B34.7B30.4B6.4B21.4B36.4B$46.4B95.4B9.4B5.2A
4.4B130.4B13.4B36.5B32.4B4.4B21.4B36.4B$47.4B95.4B7.4B7.A5.4B128.4B
13.4B37.5B33.4B2.4B21.4B36.4B$48.4B95.4B5.4B5.3A7.4B126.4B13.4B37.7B
33.8B21.4B36.4B$49.4B95.4B3.4B6.A10.4B124.4B13.4B37.4B.4B33.6B21.4B
36.4B$50.4B95.4B.4B19.4B122.4B13.4B37.4B3.4B33.4B21.4B36.4B$51.4B95.
7B21.4B120.4B13.4B37.4B5.4B31.6B19.4B36.4B$52.4B95.5B23.4B118.4B13.4B
37.4B7.4B29.8B17.4B36.4B$53.4B94.5B18.A5.4B116.4B13.4B37.4B9.4B27.4B
2.4B15.4B36.4B$54.4B92.7B15.3A6.4B114.4B13.4B37.4B11.4B25.4B4.4B13.4B
36.4B$55.4B90.4B.4B13.A10.4B112.4B13.4B37.4B13.4B23.4B6.4B11.4B36.4B$
56.4B88.4B3.4B11.B2A10.4B110.4B13.4B37.4B15.4B21.4B8.4B9.4B36.4B$57.
4B86.4B5.4B8.5B11.4B108.4B13.4B37.4B17.4B19.4B10.4B7.4B36.4B$58.4B84.
4B7.4B7.3B3.3B8.4B106.4B13.4B37.4B19.4B6.A10.4B12.4B5.4B36.4B$59.4B
82.4B9.4B3.6B2.4B9.4B104.4B13.4B37.4B21.4B5.3A7.4B14.4B3.4B36.4B$60.
4B80.4B11.4B.15B8.4B102.4B13.4B37.4B23.4B7.A5.4B16.4B.4B36.4B$61.4B
78.4B13.21B7.4B100.4B13.4B37.4B25.4B5.2A4.4B18.7B36.4B$62.4B76.4B14.
13B.8B7.4B98.4B13.4B37.4B27.4B4.9B20.5B36.4B$63.4B74.4B15.23B7.4B96.
4B13.4B37.4B29.4B5.6B21.5B35.4B$64.4B72.4B15.19B2.4B7.4B94.4B13.4B37.
4B31.4B2.8B20.7B33.4B$65.4B70.4B15.21B2.4B7.4B92.4B13.4B37.4B33.15B
17.4B.4B31.4B$66.4B68.4B15.2A20B3.4B7.4B90.4B13.4B37.4B35.14B16.4B3.
4B29.4B$67.4B66.4B16.2A19B5.4B7.4B88.4B13.4B37.4B37.13B15.4B5.4B27.4B
$68.4B64.4B18.17B9.4B7.4B86.4B13.4B37.4B39.10B.B2A12.4B7.4B25.4B$69.
4B62.4B20.16B4.B5.4B7.4B84.4B13.4B37.4B42.3B2AB3.BA.A10.4B9.4B23.4B$
70.4B60.4B21.18B.B2A5.4B7.4B82.4B13.4B37.4B43.3B2AB6.A9.4B11.4B21.4B$
71.4B58.4B23.8B2A9B2A6.4B7.4B80.4B13.4B37.4B46.4B6.2A7.4B13.4B19.4B$
72.4B56.4B23.8BA2BA7B.B8.4B7.4B78.4B13.4B37.4B47.3B15.4B15.4B17.4B$
73.4B54.4B23.10BABA7B11.4B7.4B76.4B13.4B37.4B45.AB.2B15.4B17.4B15.4B$
74.4B52.4B24.11BA8B12.4B7.4B74.4B13.4B37.4B45.A.AB2AB13.4B19.4B13.4B$
75.4B50.4B26.18B14.4B7.4B72.4B13.4B37.4B46.A.ABABAB11.4B21.4B11.4B$
76.4B48.4B27.17B16.4B7.4B70.4B13.4B37.4B44.2A.A.A.A.A2.A8.4B23.4B9.4B
$77.4B46.4B27.17B18.4B7.4B68.4B13.4B37.4B45.A2.A2.2A.4A7.4B25.4B7.4B$
78.4B44.4B26.A.2AB.14B18.4B7.4B66.4B13.4B37.4B48.2A4.A10.4B27.4B5.4B$
79.4B42.4B25.3AB2AB5.B2.B2.B2AB19.4B7.4B64.4B13.4B37.4B55.A.A7.4B29.
4B3.4B$80.4B40.4B25.A4.B6.3B5.2A21.4B7.4B62.4B13.4B37.4B57.2A6.4B31.
4B.4B$81.4B38.4B27.3A.2A5.B2AB28.4B7.4B60.4B13.4B37.4B65.4B33.7B$82.
4B36.4B30.A.A7.2A30.4B7.4B58.4B13.4B37.4B65.4B35.5B$83.4B34.4B31.A.A
40.4B7.4B56.4B13.4B37.4B65.4B36.5B$84.4B32.4B33.A42.4B7.4B54.4B13.4B
37.4B65.4B36.7B$85.4B30.4B78.4B7.4B52.4B13.4B37.4B65.4B36.4B.4B$86.4B
28.4B80.4B7.4B50.4B13.CBCB37.4B65.4B36.4B3.4B$87.4B26.4B82.4B7.4B48.
4B13.B2CB37.4B65.4B36.4B5.4B$88.4B24.4B84.4B7.4B46.4B13.3BC37.4B65.4B
36.4B7.4B$89.4B22.4B86.4B7.4B44.4B13.4B37.4B65.4B36.4B9.4B$90.4B20.4B
88.4B7.4B42.4B13.4B37.4B65.4B36.4B11.4B$91.4B18.4B90.4B7.4B40.4B13.4B
37.4B65.4B36.4B13.4B$92.4B16.4B92.4B7.4B38.4B13.4B37.4B65.4B36.4B15.
4B$93.4B14.4B94.4B7.4B36.4B13.4B37.4B65.4B36.4B17.4B$94.4B12.4B96.4B
7.4B34.4B13.4B37.4B65.4B36.4B19.4B$95.4B10.4B98.4B.2B4.4B32.4B13.4B
37.4B65.4B36.4B21.4B$96.4B8.4B100.7B4.4B30.4B13.4B37.4B65.4B36.4B23.
4B$97.4B6.4B102.7B4.4B28.4B13.4B37.4B65.4B36.4B25.4B$98.4B4.4B103.8B
4.4B7.B18.4B13.4B37.4B65.4B36.4B27.4B$99.4B2.4B103.10B4.4B5.4B7.2B6.
4B13.4B37.4B65.4B36.4B29.4B$100.8B103.4B.7B4.4B2.6B2.8B4.4B13.4B37.4B
65.4B36.4B31.4B10.2A$101.6B103.4B3.7B4.21B3.4B13.4B37.4B65.4B36.4B33.
4B9.A$102.4B103.4B5.7B4.19B3.4B13.4B37.4B65.4B36.4B35.4B10.A$101.6B
101.4B7.7B3.19B2.6B11.4B37.4B65.4B36.4B30.2A5.4B5.5A$100.8B99.4B9.7B
2.29B8.4B37.4B65.4B36.4B32.A5.4B4.A$99.4B2.4B97.4B11.7B.30B6.4B37.4B
65.4B36.4B33.A.AB.7B2.B3A$98.4B4.4B95.4B13.37B5.4B37.4B65.4B36.4B35.
2AB.7B3.2B.A$97.4B6.4B93.4B15.35B5.4B37.4B65.4B36.4B38.12B4A$96.4B8.
4B91.4B17.37B.4B37.4B65.4B36.4B39.7B2A3BAB2.2A$95.4B10.4B89.4B18.41B
37.4B65.4B36.4B40.7B2A2B.B3A2.A$94.4B12.4B87.4B18.41B37.4B65.4B36.4B
41.10B3.B.A.2A$93.4B14.4B85.4B18.41B37.4B65.4B36.4B41.8B8.A$92.4B16.
4B83.4B18.4B.37B36.4B65.4B36.4B41.9B7.2A$91.4B18.4B81.4B18.4B2.36B36.
4B65.4B36.4B41.4B2.3B$90.4B20.4B79.4B18.4B4.35B35.4B65.4B36.4B41.4B3.
5B$89.4B22.4B77.4B18.4B5.21B4.9B35.4B65.4B36.4B41.4B7.2A$88.4B24.4B
75.4B18.4B7.B2.18B3.6B37.4B65.4B36.4B41.4B8.A$87.4B26.4B73.4B18.4B12.
17B2.8B35.4B65.4B36.4B41.4B10.3A$86.4B28.4B71.4B18.4B15.15B2.9B33.4B
65.4B36.4B41.4B13.A$85.4B30.4B69.4B18.4B17.15B.10B31.4B65.4B36.4B41.
4B$84.4B32.4B67.4B18.4B19.15B.10B29.4B65.4B36.4B41.4B$83.4B34.4B65.4B
18.4B21.20B2.4B27.4B65.4B36.4B41.4B$82.4B36.4B63.4B18.4B23.19B3.4B25.
4B65.4B36.4B41.4B$81.4B38.4B61.4B18.4B25.19B3.4B23.4B65.4B36.4B41.4B$
80.4B40.4B59.4B18.4B27.18B4.4B21.4B65.4B36.4B41.4B$79.4B42.4B57.4B18.
4B29.17B5.4B19.4B65.4B36.4B41.4B$78.4B44.4B55.4B18.4B31.2BC14B5.4B17.
4B65.4B36.4B41.4B$77.4B46.4B53.4B18.4B33.2B2C12B6.4B15.4B65.4B36.4B
41.4B$76.4B48.4B51.4B18.4B34.B2C14B.3B2.4B13.4B65.4B36.4B41.4B$75.4B
50.4B49.4B18.4B36.20B.6B11.4B65.4B36.4B41.4B$74.4B52.4B47.4B18.4B37.
28B9.4B65.4B36.4B41.4B$73.4B54.4B45.4B18.4B37.6B.23B7.4B65.4B36.4B41.
4B$72.4B56.4B43.4B18.4B38.B3CB3.23B5.4B65.4B36.4B41.4B$71.4B58.4B41.
4B18.4B39.3BCB3.24B3.4B65.4B36.4B41.4B$70.4B60.4B39.4B18.4B39.3BC.2B
2.25B.4B65.4B36.4B41.4B$69.4B62.4B37.4B18.4B39.8B2.29B65.4B36.4B41.4B
$68.4B64.4B35.4B18.4B39.39B65.4B36.4B41.4B$67.4B66.4B33.4B18.4B39.40B
64.4B36.4B41.4B$66.4B68.4B31.4B18.4B39.4B.37B62.4B36.4B41.4B$65.4B70.
4B29.4B18.4B39.4B2.33B.4B60.4B36.4B41.4B$64.4B72.4B27.4B18.4B39.4B4.
31B3.4B58.4B36.4B41.4B$63.4B74.4B25.4B18.4B39.4B6.28B6.4B56.4B36.4B
41.4B$62.4B76.4B23.4B18.4B39.4B11.B5.17B8.4B54.4B36.4B41.4B$61.4B78.
4B21.4B18.4B39.4B19.16B9.4B52.4B36.4B41.4B$60.4B80.4B19.4B18.4B39.4B
20.16B10.4B50.4B36.4B41.4B$59.4B82.4B17.4B18.4B39.4B23.14B11.4B48.4B
36.4B41.4B$58.4B84.4B15.4B18.4B39.4B27.12B11.4B46.4B36.4B41.4B$57.4B
86.4B13.4B18.4B39.4B29.6B2.4B11.4B44.4B36.4B41.4B$56.4B88.4B11.4B18.
4B39.4B30.4B5.4B11.4B42.4B36.4B41.4B$55.4B90.4B9.4B18.4B39.4B33.B7.4B
11.4B40.4B36.4B41.4B$54.4B92.4B7.4B18.4B39.4B43.4B11.4B38.4B36.4B41.
4B$53.4B94.4B5.4B18.4B39.4B45.4B11.4B36.4B36.4B41.4B$52.4B96.4B3.4B
18.4B39.4B47.4B11.4B34.4B36.4B41.4B$51.4B98.4B.4B18.4B39.4B49.4B11.4B
32.4B36.4B41.4B$50.4B100.7B18.4B39.4B51.4B11.4B30.4B36.4B41.4B$49.4B
102.5B18.4B39.4B53.4B11.4B28.4B36.4B41.4B$48.4B103.5B6.A10.4B39.4B55.
4B11.4B26.4B36.4B41.4B$47.4B103.7B5.3A7.4B39.4B57.4B11.4B24.4B36.4B
41.4B$46.4B103.4B.4B7.A5.4B39.4B59.4B11.4B22.4B36.4B41.4B$31.A13.4B
103.4B3.4B5.2A4.4B39.4B61.4B11.4B20.4B36.4B41.4B$31.3A10.4B103.4B5.4B
4.9B39.4B63.4B11.4B18.4B36.4B41.4B$34.A8.4B103.4B7.4B5.6B39.4B65.4B
11.4B16.4B36.4B41.4B$33.2A7.4B103.4B9.4B2.8B38.4B67.4B11.4B14.4B36.4B
41.4B$33.5B3.4B103.4B11.15B35.4B69.4B11.4B12.4B36.4B41.4B$35.3B2.4B
103.4B13.14B34.4B71.4B11.4B10.4B36.4B41.4B$25.2A7.9B103.4B15.13B33.4B
73.4B11.4B8.4B36.4B41.4B$25.A8.8B103.4B17.10B.B2A30.4B75.4B11.4B2.2B
2.4B36.4B41.4B$22.2A.A.B3.10B103.4B20.3B2AB3.BA.A28.4B77.4B11.12B36.
4B41.4B$22.A2.3AB.2B2A7B102.4B21.3B2AB6.A27.4B79.4B11.10B36.4B41.4B$
23.2A2.BA3B2A7B101.4B24.4B6.2A25.4B81.4B9.12B34.4B41.4B$25.4A12B100.
4B25.3B33.4B83.4B7.14B32.4B41.4B$25.A.2B3.7B.B2A97.4B23.AB.2B33.4B85.
4B5.16B30.4B41.4B$26.3AB2.7B.BA.A95.4B23.A.AB2AB31.4B87.4B3.4B4.2B4.
4B28.4B41.4B$29.A4.4B5.A94.4B24.A.ABABAB29.4B89.4B.4B4.B2AB4.4B26.4B
41.4B$24.5A5.4B5.2A92.4B22.2A.A.A.A.A2.A26.4B91.7B6.2A6.4B24.4B41.4B$
24.A10.4B97.4B23.A2.A2.2A.4A25.4B93.5B16.4B22.4B41.4B$26.A9.4B18.A76.
4B26.2A4.A28.4B94.5B17.4B20.4B41.4B$25.2A10.4B15.3A75.4B33.A.A25.4B
94.7B17.4B18.4B41.4B$38.4B13.A77.4B35.2A24.4B94.4B.4B17.4B16.4B41.4B$
39.4B11.B2A75.4B61.4B94.4B3.4B17.4B14.4B41.4B$40.4B8.5B74.4B61.4B94.
4B5.4B17.4B12.4B41.4B$41.4B7.3B3.3B69.4B61.4B94.4B7.4B17.4B10.4B41.4B
$42.4B3.6B2.4B68.4B61.4B94.4B9.4B17.4B8.4B41.4B$43.4B.15B65.4B61.4B
94.4B11.4B17.4B6.4B41.4B$44.21B62.4B61.4B94.4B13.4B17.4B4.4B41.4B$44.
13B.8B60.4B61.4B94.4B15.4B17.4B2.4B41.4B$44.23B58.4B61.4B94.4B17.4B
17.8B41.4B$43.19B2.4B56.4B61.4B94.4B19.4B17.6B41.4B$42.21B2.4B54.4B
61.4B94.4B21.4B10.A6.4B41.4B$41.2A20B3.4B52.4B61.4B94.4B23.4B7.3A5.6B
39.4B$41.2A19B5.4B50.4B61.4B94.4B25.4B5.A7.8B37.4B$42.17B9.4B48.4B61.
4B94.4B27.4B4.2A5.4B2.4B35.4B$43.16B4.B5.4B46.4B61.4B94.4B29.9B4.4B4.
4B33.4B$43.18B.B2A5.4B44.4B61.4B94.4B31.6B5.4B6.4B31.4B$44.8B2A9B2A6.
4B42.4B61.4B94.4B32.8B2.4B8.4B29.4B$43.8BA2BA7B.B8.4B40.4B61.4B94.4B
31.15B10.4B27.4B$42.10BABA7B11.4B38.4B61.4B94.4B32.14B12.4B25.4B$42.
11BA8B12.4B36.4B61.4B94.4B33.13B14.4B23.4B$43.18B14.4B34.4B61.4B94.4B
32.2AB.10B16.4B21.4B$43.17B16.4B32.4B61.4B94.4B32.A.AB3.B2A3B19.4B19.
4B$42.17B18.4B30.4B61.4B94.4B33.A6.B2A3B20.4B10.A6.4B$40.A.2AB.14B18.
4B28.4B61.4B94.4B33.2A6.4B23.4B7.3A5.4B$38.3AB2AB5.B2.B2.B2AB19.4B26.
4B61.4B94.4B43.3B24.4B5.A7.4B$37.A4.B6.3B5.2A21.4B24.4B61.4B94.4B45.
2B.BA22.4B4.2A5.4B$38.3A.2A5.B2AB28.4B22.C3B61.4B94.4B45.B2ABA.A22.9B
4.4B$40.A.A7.2A30.4B20.B2CB61.4B94.4B45.BABABA.A23.6B5.4B$40.A.A40.4B
18.BCBC61.4B94.4B44.A2.A.A.A.A.2A20.8B2.4B$41.A42.4B16.4B61.4B94.4B
45.4A.2A2.A2.A18.15B$85.4B14.4B61.4B94.4B50.A4.2A20.14B$86.4B12.4B61.
4B94.4B49.A.A26.13B$87.4B10.4B61.4B94.4B50.2A25.2AB.10B$88.4B8.4B61.
4B94.4B77.A.AB3.B2A3B$89.4B6.4B61.4B94.4B78.A6.B2A3B$90.4B4.4B61.4B
94.4B78.2A6.4B$91.4B2.4B61.4B94.4B88.3B$92.8B61.4B94.4B90.2B.BA$93.6B
61.4B94.4B90.B2ABA.A$94.4B61.4B94.4B90.BABABA.A$93.6B59.4B94.4B89.A2.
A.A.A.A.2A$92.8B57.4B94.4B90.4A.2A2.A2.A$91.4B2.4B55.4B94.4B95.A4.2A$
90.4B4.4B53.4B94.4B94.A.A$89.4B6.4B51.4B94.4B95.2A$88.4B8.4B49.4B94.
4B$87.4B10.4B47.4B94.4B$86.4B12.4B45.4B94.4B$85.4B14.4B43.4B94.4B$84.
4B16.4B41.4B94.4B$83.4B18.4B39.4B94.4B$82.4B20.4B37.4B94.4B$81.4B22.
4B35.4B94.4B$80.4B24.4B33.4B94.4B$79.4B26.4B31.4B94.4B$78.4B28.4B29.
4B94.4B$77.4B30.4B27.4B94.4B$76.4B32.4B25.4B94.4B$75.4B34.4B23.4B94.
4B$74.4B36.4B21.4B94.4B$73.4B38.4B19.4B94.4B$72.4B40.4B10.A6.4B94.4B$
71.4B42.4B7.3A5.4B94.4B$70.4B44.4B5.A7.4B94.4B$69.4B46.4B4.2A5.4B94.
4B$68.4B48.9B4.4B94.4B$67.4B50.6B5.4B94.4B$66.4B51.8B2.4B94.4B$65.4B
50.15B94.4B$64.4B51.14B94.4B$63.4B52.13B94.4B$62.4B51.2AB.10B94.4B$
61.4B51.A.AB3.B2A3B95.4B$60.4B52.A6.B2A3B94.4B$59.4B52.2A6.4B95.4B$
58.4B62.3B94.4B$57.4B64.2B.BA90.4B$56.4B64.B2ABA.A88.4B$55.4B64.BABAB
A.A87.4B$54.4B63.A2.A.A.A.A.2A83.4B$53.4B64.4A.2A2.A2.A82.4B$52.4B69.
A4.2A83.4B$51.4B68.A.A88.4B$50.4B69.2A88.4B$49.4B159.4B$36.2A10.4B
159.4B$37.A9.4B159.4B$35.A10.4B159.4B$35.5A5.4B5.2A152.4B$40.A4.4B5.A
152.4B$37.3AB2.7B.BA.A151.4B$36.A.2B3.7B.B2A151.4B$36.4A12B152.4B$34.
2A2.BA3B2A7B151.4B$33.A2.3AB.2B2A7B150.4B$33.2A.A.B3.10B149.4B$36.A8.
8B147.4B$36.2A7.9B145.4B$46.3B2.4B143.4B$44.5B3.4B141.4B$44.2A7.4B
139.4B$45.A8.4B137.4B$42.3A10.4B135.4B$42.A13.4B133.4B$57.4B131.4B$
58.4B129.4B$59.4B127.4B$60.4B125.4B$61.4B123.4B$62.4B121.4B$63.4B119.
4B$64.4B117.4B$65.4B115.4B$66.4B113.4B$67.4B111.4B$68.4B109.4B$69.4B
107.4B$70.4B105.4B$71.4B103.4B$72.4B101.4B$73.4B99.4B$74.4B97.4B$75.
4B95.4B$76.4B93.4B$77.4B91.4B$78.4B89.4B$79.4B87.4B$80.4B85.4B$81.4B
83.4B$82.4B81.4B$83.4B79.4B$84.4B77.4B$85.4B75.4B$86.4B73.4B$87.4B71.
4B$88.4B69.4B$89.4B67.4B$90.4B65.4B$91.4B63.4B$92.4B61.4B$93.4B59.4B$
94.4B57.4B$95.4B55.4B$96.4B53.4B$97.4B51.4B$98.4B49.4B$99.4B47.4B$
100.4B45.4B$101.4B43.4B$102.4B41.4B$103.4B39.4B$104.4B37.4B$105.4B35.
4B$106.4B33.4B$107.4B31.4B$108.4B29.4B$109.4B27.4B$110.4B25.4B$111.4B
23.4B$112.4B21.4B$113.4B19.4B$114.4B6.A10.4B$115.4B5.3A7.4B$116.4B7.A
5.4B$117.4B5.2A4.4B$118.4B4.9B$119.4B5.6B$120.4B2.8B$121.15B$122.14B$
123.13B$124.10B.B2A$126.3B2AB3.BA.A$126.3B2AB6.A$128.4B6.2A$128.3B$
125.AB.2B$124.A.AB2AB$124.A.ABABAB$121.2A.A.A.A.A2.A$121.A2.A2.2A.4A$
123.2A4.A$129.A.A$130.2A!
EDIT: I just looked at Goldtiger's gun from page 2, but don't understand how it works so can't comment on how Bandersnatches may optimise it.

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 3:09 pm
by dvgrn
pcallahan wrote: July 9th, 2020, 1:53 pmIs there a way to turn that into a gun?
Yes, I think Goldtiger997's trick with a rectifier avoids the need to use a glider for suppression. I went on about this a few posts back:
dvgrn wrote: July 8th, 2020, 12:50 pmWith rectifiers not allowed, unless there's some clever way to suppress the red glider for free, that I'm not seeing, then one of the output gliders has to be used to suppress another of the output gliders to prevent a collision where the red arrow is pointing... which leaves you with a 4G->4G oscillator, not a gun...
As soon as you allow rectifiers into the mix, plus a rephaser block or two maybe, Goldtiger997's solution for this collision problem will turn this into a pretty nice single-engine cyclotron, I think.
pcallahan wrote: July 9th, 2020, 11:03 amAnother old pattern I forgot about...
I don't think this has much potential, at least if you somehow use the original glider as the reset. The most you will do is shift diagonals.
Hey, what about the famous bistable switch? One of its parts is just a century eater, which can be replaced with a century-to-glider converter (there are a couple of these, showcased in the CC semi-cenark and CP semi-cenark. So that way you do get over-unity glider production and a nice little cyclotronic gun -- Adam/calcyman did this in 2017:

Code: Select all

x = 123, y = 93, rule = B3/S23
56b2o$55bobo$49b2o4bo$47bo2bo2b2ob4o$47b2obobobobo2bo32b2o$50bobobobo
35bobo$50bobob2o38bo4b2o$51bo38b4ob2o2bo2bo$90bo2bobobobob2o$64b2o27b
obobobo$55b2o7bo29b2obobo$55b2o5bobo33bo$62b2o$84b2o$85bo7b2o$85bobo5b
2o$86b2o25bo$111b3o$110bo$52b2o15b2o39b2o$49bo3bo15b2o$49b4o$118b2o$49b
2o45b2o21bo$49b2o45bo22bob2o$97b3o11b2o4b3o2bo$99bo11b2o3bo3b2o$48bo67b
4o$47bobo52b2o15bo$48bo52bobo12b3o$45b3o53bo13bo$45bo29b2o23b2o14b5o$
74bobo43bo$75bo42bo$118b2o5$9bo$9b3o$12bo$11b2o$85b2o$85bo$3b2o81b3o$
3bo84bo$2obo$o2b3o4b2o$b2o3bo3b2o$3b4o$3bo15b2o$4b3o12bobo34b2o$7bo13b
o14b2o18b2o$2b5o14b2o14bo$2bo32bo$4bo30b5o14b2o$3b2o35bo13bo$37b3o12b
obo$36bo15b2o$36b4o$34b2o3bo3b2o$33bo2b3o4b2o$33b2obo$36bo$36b2o$61bo
$61b3o$44b2o9b2o7bo$45bo9bobo5b2o$42b3o10bo$40b3o$39bo$39b2o3$73b2o$66b
2o5bobo$66b2o7bo$75b2o$29b2o$28bobo5b2o24bo$28bo7b2o23bobob2o$27b2o32b
obobobo$58b2obobobobo2bo$41bo16bo2bo2b2ob4o$37b2obobo17b2o4bo$36bobob
obo23bobo$33bo2bobobobob2o21b2o$33b4ob2o2bo2bo$37bo4b2o64bo$35bobo71b
o$35b2o70b3o!

Re: Refactoring DRH's cyclotron with stable components?

Posted: July 9th, 2020, 6:33 pm
by pcallahan
dvgrn wrote: July 9th, 2020, 3:09 pm Hey, what about the famous bistable switch? One of its parts is just a century eater, which can be replaced with a century-to-glider converter (there are a couple of these, showcased in the CC semi-cenark and CP semi-cenark. So that way you do get over-unity glider production and a nice little cyclotronic gun -- Adam/calcyman did this in 2017:
I happened to see that for the first time last night looking up old stable patterns. Very nice! I had no idea you could get an extra glider out of that. I am still not sure it qualifies as a cyclotron. But now I don't know what I would count. Anyway, it would be cheating to use it as a component in anything else.

Meanwhile, if you take half the 3-block oscillator (or self-resetting shifter) you can think of it as a 90° reflector. There are many ways to send in another synchronized glider to get an additional reflection. I am not sure if they are useful, but here are the results on an automatic gencols run with the full component (so I don't have to mess with inaccessible collisions).

This still looks like the most promising one.

Code: Select all

x = 50, y = 44, rule = B3/S23
47bobo$47b2o$48bo30$24b2o3b2o$22b3obo2b2o$21bo4bo$21bo2b2ob4o$20b2obobobo2bo$21bobobobo$21bobob2o$22bo2$35b2o$26b2o7bo$26b2o5bobo$33b2o7$23b2o$24bo19b2o$21b3o20bo$21bo24bo$26b2o14b5o$24bo2bo13bo$24b2obobo12b3o$26bob2o15bo$26bo15b4o$24b3o10b2o3bo3b2o$2bo20bo13b2o4b3o2bo$3b2ob2o15b2o20bob2o$2b2o2b2o37bo$44b2o3$36b2o$36bo$2o4b2o5b2o22b3o$2o4b2o4bobo5b2o17bo$12bo7b2o$11b2o2$25bo$21b2obobo$20bobobobo$17bo2bobobobob2o$17b4ob2o2bo2bo$21bo4b2o$19bobo$19b2o$!
Here's one I would have missed if I was determining accessible collision points by hand.

Code: Select all

x = 49, y = 41, rule = B3/S23
24b2o3b2o$22b3obo2b2o$21bo4bo$21bo2b2ob4o$20b2obobobo2bo$21bobobobo$21bobob2o$22bo2$35b2o$26b2o7bo$26b2o5bobo$33b2o7$23b2o$24bo19b2o$21b3o20bo$21bo24bo$26b2o14b5o$24bo2bo13bo$24b2obobo12b3o$12bobo11bob2o15bo$13b2o11bo15b4o$13bo10b3o10b2o3bo3b2o$2bo20bo13b2o4b3o2bo$3b2ob2o15b2o20bob2o$2b2o2b2o37bo$44b2o3$36b2o$36bo$2o4b2o5b2o22b3o$2o4b2o4bobo5b2o17bo$12bo7b2o$11b2o2$25bo$21b2obobo$20bobobobo$17bo2bobobobob2o$17b4ob2o2bo2bo$21bo4b2o$19bobo$19b2o$!
And the rest... A lot of them have to enter on close (or even the same) diagonal, and a lot of the reflections are 180°.

Code: Select all

x = 106, y = 44, rule = B3/S23
81b2o3b2o$79b3obo2b2o$78bo4bo$78bo2b2ob4o$77b2obobobo2bo$78bobobobo$78bobob2o$79bo2$92b2o$83b2o7bo$83b2o5bobo$90b2o7$80b2o$81bo19b2o$78b3o20bo$78bo24bo$83b2o14b5o$81bo2bo13bo$81b2obobo12b3o$83bob2o15bo$83bo15b4o$81b3o10b2o3bo3b2o$59bo20bo13b2o4b3o2bo$60b2ob2o15b2o20bob2o$59b2o2b2o37bo$101b2o3$93b2o$93bo$57b2o4b2o5b2o22b3o$57b2o4b2o4bobo5b2o17bo$69bo7b2o$68b2o2$82bo$78b2obobo$77bobobobo$74bo2bobobobob2o$74b4ob2o2bo2bo$78bo4b2o$76bobo$76b2o17$b2o$obo$2bo$!

Code: Select all

x = 115, y = 44, rule = B3/S23
90b2o3b2o$88b3obo2b2o$87bo4bo$87bo2b2ob4o$86b2obobobo2bo$87bobobobo$87bobob2o$88bo2$101b2o$92b2o7bo$92b2o5bobo$99b2o7$89b2o$90bo19b2o$87b3o20bo$87bo24bo$92b2o14b5o$90bo2bo13bo$90b2obobo12b3o$92bob2o15bo$92bo15b4o$90b3o10b2o3bo3b2o$68bo20bo13b2o4b3o2bo$69b2ob2o15b2o20bob2o$68b2o2b2o37bo$110b2o3$102b2o$102bo$66b2o4b2o5b2o22b3o$66b2o4b2o4bobo5b2o17bo$78bo7b2o$77b2o2$91bo$87b2obobo$86bobobobo$83bo2bobobobob2o$83b4ob2o2bo2bo$87bo4b2o$85bobo$85b2o32$b2o$obo$2bo$!

Code: Select all

x = 106, y = 44, rule = B3/S23
2bo$obo$b2o24$81b2o3b2o$79b3obo2b2o$78bo4bo$78bo2b2ob4o$77b2obobobo2bo$78bobobobo$78bobob2o$79bo2$92b2o$83b2o7bo$83b2o5bobo$90b2o7$80b2o$81bo19b2o$78b3o20bo$78bo24bo$83b2o14b5o$81bo2bo13bo$81b2obobo12b3o$83bob2o15bo$83bo15b4o$81b3o10b2o3bo3b2o$59bo20bo13b2o4b3o2bo$60b2ob2o15b2o20bob2o$59b2o2b2o37bo$101b2o3$93b2o$93bo$57b2o4b2o5b2o22b3o$57b2o4b2o4bobo5b2o17bo$69bo7b2o$68b2o2$82bo$78b2obobo$77bobobobo$74bo2bobobobob2o$74b4ob2o2bo2bo$78bo4b2o$76bobo$76b2o$!

Code: Select all

x = 114, y = 44, rule = B3/S23
2bo$obo$b2o23$89b2o3b2o$87b3obo2b2o$86bo4bo$86bo2b2ob4o$85b2obobobo2bo$86bobobobo$86bobob2o$87bo2$100b2o$91b2o7bo$91b2o5bobo$98b2o7$88b2o$89bo19b2o$86b3o20bo$86bo24bo$91b2o14b5o$89bo2bo13bo$89b2obobo12b3o$91bob2o15bo$91bo15b4o$89b3o10b2o3bo3b2o$67bo20bo13b2o4b3o2bo$68b2ob2o15b2o20bob2o$67b2o2b2o37bo$109b2o3$101b2o$101bo$65b2o4b2o5b2o22b3o$65b2o4b2o4bobo5b2o17bo$77bo7b2o$76b2o2$90bo$86b2obobo$85bobobobo$82bo2bobobobob2o$82b4ob2o2bo2bo$86bo4b2o$84bobo$84b2o$!

Code: Select all

x = 112, y = 44, rule = B3/S23
bo$2bo$3o33$87b2o3b2o$85b3obo2b2o$84bo4bo$84bo2b2ob4o$83b2obobobo2bo$84bobobobo$84bobob2o$85bo2$98b2o$89b2o7bo$89b2o5bobo$96b2o7$86b2o$87bo19b2o$84b3o20bo$84bo24bo$89b2o14b5o$87bo2bo13bo$87b2obobo12b3o$89bob2o15bo$89bo15b4o$87b3o10b2o3bo3b2o$65bo20bo13b2o4b3o2bo$66b2ob2o15b2o20bob2o$65b2o2b2o37bo$107b2o3$99b2o$99bo$63b2o4b2o5b2o22b3o$63b2o4b2o4bobo5b2o17bo$75bo7b2o$74b2o2$88bo$84b2obobo$83bobobobo$80bo2bobobobob2o$80b4ob2o2bo2bo$84bo4b2o$82bobo$82b2o$!

Code: Select all

x = 113, y = 44, rule = B3/S23
bo$2bo$3o35$88b2o3b2o$86b3obo2b2o$85bo4bo$85bo2b2ob4o$84b2obobobo2bo$85bobobobo$85bobob2o$86bo2$99b2o$90b2o7bo$90b2o5bobo$97b2o7$87b2o$88bo19b2o$85b3o20bo$85bo24bo$90b2o14b5o$88bo2bo13bo$88b2obobo12b3o$90bob2o15bo$90bo15b4o$88b3o10b2o3bo3b2o$66bo20bo13b2o4b3o2bo$67b2ob2o15b2o20bob2o$66b2o2b2o37bo$108b2o3$100b2o$100bo$64b2o4b2o5b2o22b3o$64b2o4b2o4bobo5b2o17bo$76bo7b2o$75b2o2$89bo$85b2obobo$84bobobobo$81bo2bobobobob2o$81b4ob2o2bo2bo$85bo4b2o$83bobo$83b2o$!

Code: Select all

x = 99, y = 44, rule = B3/S23
obo$b2o$bo29$74b2o3b2o$72b3obo2b2o$71bo4bo$71bo2b2ob4o$70b2obobobo2bo$71bobobobo$71bobob2o$72bo2$85b2o$76b2o7bo$76b2o5bobo$83b2o7$73b2o$74bo19b2o$71b3o20bo$71bo24bo$76b2o14b5o$74bo2bo13bo$74b2obobo12b3o$76bob2o15bo$76bo15b4o$74b3o10b2o3bo3b2o$52bo20bo13b2o4b3o2bo$53b2ob2o15b2o20bob2o$52b2o2b2o37bo$94b2o3$86b2o$86bo$50b2o4b2o5b2o22b3o$50b2o4b2o4bobo5b2o17bo$62bo7b2o$61b2o2$75bo$71b2obobo$70bobobobo$67bo2bobobobob2o$67b4ob2o2bo2bo$71bo4b2o$69bobo$69b2o$!

Code: Select all

x = 101, y = 44, rule = B3/S23
obo$b2o$bo30$76b2o3b2o$74b3obo2b2o$73bo4bo$73bo2b2ob4o$72b2obobobo2bo$73bobobobo$73bobob2o$74bo2$87b2o$78b2o7bo$78b2o5bobo$85b2o7$75b2o$76bo19b2o$73b3o20bo$73bo24bo$78b2o14b5o$76bo2bo13bo$76b2obobo12b3o$78bob2o15bo$78bo15b4o$76b3o10b2o3bo3b2o$54bo20bo13b2o4b3o2bo$55b2ob2o15b2o20bob2o$54b2o2b2o37bo$96b2o3$88b2o$88bo$52b2o4b2o5b2o22b3o$52b2o4b2o4bobo5b2o17bo$64bo7b2o$63b2o2$77bo$73b2obobo$72bobobobo$69bo2bobobobob2o$69b4ob2o2bo2bo$73bo4b2o$71bobo$71b2o$!

Code: Select all

x = 107, y = 44, rule = B3/S23
obo$b2o$bo39$82b2o3b2o$80b3obo2b2o$79bo4bo$79bo2b2ob4o$78b2obobobo2bo$79bobobobo$79bobob2o$80bo2$93b2o$84b2o7bo$84b2o5bobo$91b2o7$81b2o$82bo19b2o$79b3o20bo$79bo24bo$84b2o14b5o$82bo2bo13bo$82b2obobo12b3o$84bob2o15bo$84bo15b4o$82b3o10b2o3bo3b2o$60bo20bo13b2o4b3o2bo$61b2ob2o15b2o20bob2o$60b2o2b2o37bo$102b2o3$94b2o$94bo$58b2o4b2o5b2o22b3o$58b2o4b2o4bobo5b2o17bo$70bo7b2o$69b2o2$83bo$79b2obobo$78bobobobo$75bo2bobobobob2o$75b4ob2o2bo2bo$79bo4b2o$77bobo$77b2o$!

Code: Select all

x = 49, y = 44, rule = B3/S23
44bobo$44b2o$45bo29$24b2o3b2o$22b3obo2b2o$21bo4bo$21bo2b2ob4o$20b2obobobo2bo$21bobobobo$21bobob2o$22bo2$35b2o$26b2o7bo$26b2o5bobo$33b2o7$23b2o$24bo19b2o$21b3o20bo$21bo24bo$26b2o14b5o$24bo2bo13bo$24b2obobo12b3o$26bob2o15bo$26bo15b4o$24b3o10b2o3bo3b2o$2bo20bo13b2o4b3o2bo$3b2ob2o15b2o20bob2o$2b2o2b2o37bo$44b2o3$36b2o$36bo$2o4b2o5b2o22b3o$2o4b2o4bobo5b2o17bo$12bo7b2o$11b2o2$25bo$21b2obobo$20bobobobo$17bo2bobobobob2o$17b4ob2o2bo2bo$21bo4b2o$19bobo$19b2o$!

Code: Select all

x = 57, y = 44, rule = B3/S23
54bobo$54b2o$55bo39$24b2o3b2o$22b3obo2b2o$21bo4bo$21bo2b2ob4o$20b2obobobo2bo$21bobobobo$21bobob2o$22bo2$35b2o$26b2o7bo$26b2o5bobo$33b2o7$23b2o$24bo19b2o$21b3o20bo$21bo24bo$26b2o14b5o$24bo2bo13bo$24b2obobo12b3o$26bob2o15bo$26bo15b4o$24b3o10b2o3bo3b2o$2bo20bo13b2o4b3o2bo$3b2ob2o15b2o20bob2o$2b2o2b2o37bo$44b2o3$36b2o$36bo$2o4b2o5b2o22b3o$2o4b2o4bobo5b2o17bo$12bo7b2o$11b2o2$25bo$21b2obobo$20bobobobo$17bo2bobobobob2o$17b4ob2o2bo2bo$21bo4b2o$19bobo$19b2o$!
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