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The Hunting of the Elementary Conduits

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

Re: The Hunting of the Elementary Conduits

Postby A for awesome » May 12th, 2016, 4:06 pm

gmc_nxtman wrote:A possibly new H->Pi, HF134P:

rle

HF(x?)236B based on that start:
x = 39, y = 39, rule = LifeHistory
14.2A$15.A$13.A$13.5A$17.A7.A$11.4AB7.3A$11.A2.AB6.A$12.6B4.2A$5.2A6.
11B$6.A7.8B$6.A.AB2.10B$.2A4.2AB.13B$2.A5.16B4.2B$2.A.AB3.15B3.5B$3.
2AB.27B$B4.29B$2B3.28B$3B3.26B.B$4B.23BD6B$.27B2D7B$.28B2D7B$.2BC25BD
8B$3BCBC4B.17BD10B$.2B3C4B2.27B$5BC4B2.27B$19B.17B$2B6.11B2.16B$B8.
10B3.14B$8.B.10B2.6B.B.4B$7.A2B.8B5.4B4.5B$6.A.A11B3.B2A2B7.2A$7.AB.
10B4.2A.B2A5.A$10.10B7.BA.A5.3A$11.7B12.A7.A$11.6B13.2A$9.2AB$8.A.AB$
8.A$7.2A!

Probably slightly more likely to connect to something. The main problem is probably how close the second block from the B comes to the eater on the lower right.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: The Hunting of the Elementary Conduits

Postby dvgrn » May 12th, 2016, 5:46 pm

A for awesome wrote:
gmc_nxtman wrote:A possibly new H->Pi, HF134P...
[H-to-B conduit] ... Probably slightly more likely to connect to something. The main problem is probably how close the second block from the B comes to the eater on the lower right.

The biggest problem I ran into was that the main workhorse conduit for extracting B-heptominoes from the middle of reaction envelopes -- BBx187H -- doesn't fit here, because there's an eater in the way of the block-killing glider.

That's not to say you can't make this into a Herschel conduit, but I can't see any way to fit one inside gmc_nxtman's very reasonable 300-tick or 100x100 bounding-box limits.

Fx422ugly:
x = 112, y = 80, rule = LifeHistory
41.2A$41.A.A$43.A4.2A$39.4A.2A2.A2.A$39.A2.A.A.A.A.2A$41.BABABA.A$42.
B2ABA.A$43.2B.BA$42.3B$33.2A6.4B$34.A6.B2A3B$34.A.AB3.B2A3B$35.2AB.
10B$37.13B$37.14B$37.15B$39.8B2.4B$39.6B5.4B$38.9B4.4B$30.B6.4B4.2A5.
4B$30.2B4.4B5.A7.4B$30.3B2.4B7.3A5.4B$30.8B10.A6.4B$31.6B19.4B13.A$
32.4B21.4B10.3A$31.6B21.4B8.A$30.8B21.4B7.2A$29.4B2.4B21.4B3.5B$28.4B
4.4B21.4B2.3B$27.4B6.4B21.9B7.2A$26.4B8.4B21.8B8.A$25.4B10.4B21.10B3.
B.A.2A$24.4B12.4B20.7B2A2B.B3A2.A$23.4B14.4B19.7B2A3BAB2.2A$22.4B16.
4B18.12B4A$21.4B18.4B15.2AB.8B2.2B.A$20.4B20.4B13.A.AB.7B2.B3A$19.4B
22.4B12.A5.5B3.A$18.4B24.4B10.2A5.4B5.5A$17.4B26.4B15.4B10.A4.A$16.4B
28.4B13.4B5.6A3.3A$3.2A10.4B18.2A10.4B11.4B6.A2.A4.A$4.A9.4B20.A11.4B
9.4B15.2A$2.A10.4B19.A14.4B7.4B4.A8.5B$2.5A5.4B5.2A13.5A11.4B5.4B5.3A
5.4B$7.A4.4B5.A18.A7.A4.4B3.4B9.A3.7B$4.3AB2.7B.BA.A12.4AB7.3A5.4B.4B
9.2A2.9B$3.A.2B3.7B.B2A13.A2.AB6.A9.7B7.B2.3B.11B$3.4A12B16.6B4.2A9.
5B7.3B3.13B$.2A2.BA3B2A7B9.2A6.11B9.5B7.18B2A$A2.3AB.2B2A7B10.A7.8B
10.7B6.18B2A$2A.A.B3.10B10.A.AB2.10B9.4B.4B4.18B.B$3.A8.8B4.2A4.2AB.
13B6.4B3.4B2.18B$3.2A7.9B4.A5.16B4.5B5.4B.20B$13.3B2.4B3.A.AB3.15B3.
5B7.25B2.7B.B$11.5B3.4B3.2AB.27B6.24B2.13B.B$11.2A7.4B4.29B7.23BD21B$
12.A8.4B3.29B5.B2.23BD21BD$9.3A10.4B3.29B2.28B2D18B3DB$9.A13.4B.23BD
35B2D2B2A15BDBD$24.27B2D8BDB2A22BD3B2A15BD$24.28B2D5B3DB2A21B.11B3.2B
2.2B$24.2BC25BD6BDBD23B2.10B$23.3BCBC4B.17BD7BD25B3.6B$24.2B3C4B2.49B
5.3B$23.5BC4B2.27B2.7B.13B4.B$23.19B.17B4.6B2.13B3.2A$23.2B6.11B2.16B
6.3B3.11B5.A$23.B8.10B3.14B8.B4.9B8.A$31.B.10B2.6B.B.4B15.8B7.2A$30.A
2B.8B5.4B4.5B13.8B$29.A.A11B3.B2A2B7.2A13.6B$30.AB.10B4.2A.B2A5.A15.
5B$33.10B7.BA.A5.3A12.3B$34.7B12.A7.A$34.6B13.2A$32.2AB$31.A.AB$31.A$
30.2A!

That took three Snarks. I think it could be done with a better recovery time using two Snarks, a syringe, and an H-to-boat converter... but somehow that doesn't really seem like it will be an improvement.
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Re: The Hunting of the Elementary Conduits

Postby simeks » May 17th, 2016, 9:30 am

Not sure if this H-to-Pi has been posted before.
It doesn't connect to anything, but it looks like something that all those unconnectible Pi-to-Xs we've seen, should be tested against:

x = 34, y = 16, rule = LifeHistory
.2A$.A.A$3.A$3.2A$4.B27.2C$4.3B24.C.C$3.6B18.2C3BC$2.10B14.C2BCB$2.
11B3.2B2.5B.B2C2B$2BE3B2A15BD8B$2B2E2B2A11B3DBDBD6B$.2B2E14BD3B3D5B$
2.BE15B3D3BD4B$2.E26B$4.13B.B2.3B.4B$4.7B.B13.2B!

EDIT: Another similar one:

x = 33, y = 19, rule = LifeHistory
.2A$.A.A$3.A$3.2A$4.B$4.3B16.3B$3.6B13.5B$2.10B8.2B3D4B.B$2.11B3.2B2.
2BD7B2C$2BE3B2A14B3D5B2C$2B2E2B2A15BDBD6B$.2B2E18B3D5B$2.BE21BD4B$2.E
26B$4.13B.B2.3B.6B$4.7B.B13.2B.2C$29.C$30.3C$32.C!

EDIT 2: Can someone figure out a better use for this reaction than a B-to-G, or a H-to-B that doesn't connect to anything?

x = 78, y = 35, rule = LifeHistory
60.C$58.3C$10.2C45.C$11.C6.C38.2C7.C$10.C5.3C45.3C$10.2C3.C47.C$6.2C
7.2C46.2C$6.2C4$7.E7.D12.2C33.E12.2C$8.E6.D.D10.2C33.E.E10.2C$8.2E5.
3D6.C38.3E6.C$7.2E8.D5.C.C39.E5.C.C$7.E14.C2.C44.C2.C$23.2C46.2C4$8.
3D$8.D$7.3D3$14.D47.D$13.2D46.2D$12.2D46.2D$13.2D46.2D$2.2C$.C.C$.C$
2C16.C47.C$17.C.C45.C.C$17.2C46.2C!
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Re: The Hunting of the Elementary Conduits

Postby simeks » May 18th, 2016, 12:02 pm

Turns out that Conduit 1 can be directed upwards with another transparent block, into a reaction that looks quite interesting:

x = 21, y = 14, rule = LifeHistory
E$.E$.2E$2E2.2A13.2C$E3.2A13.2C4$17.2C$17.C$.2A15.3C$.A18.C$2.A$.2A!

So far I've found a B-to-G, and two conduits that don't look very useful:

x = 152, y = 32, rule = LifeHistory
20.E$19.E.E$9.3D7.E.E48.2E$9.D8.2E.3E46.2E$10.D13.E$18.2E.3E118.2D$
18.2E.E119.D.D$140.2D2$83.2D52.2E$84.2D50.E.E$9.2E73.D51.2E$9.2E139.E
$149.E.E$150.E4$E63.E63.E$.E63.E63.E$.2E62.2E62.2E$2E2.2A13.2C43.2E2.
2A13.2C43.2E2.2A13.2C$E3.2A13.2C43.E3.2A13.2C43.E3.2A13.2C4$17.2C62.
2C62.2C$17.C63.C63.C$.2A15.3C44.2A15.3C44.2A15.3C$.A18.C44.A18.C44.A
18.C$2.A63.A63.A$.2A62.2A62.2A!
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » May 18th, 2016, 12:12 pm

simeks wrote:Turns out that Conduit 1 can be directed upwards with another transparent block, into a reaction that looks quite interesting...
So far I've found a B-to-G, and two conduits that don't look very useful..

Nice! Yes, there must be some more good stuff there somewhere. The R output doesn't quite connect to most things -- but you can get another Spartan B-to-G out of it, at least:

x = 33, y = 35, rule = LifeHistory
11.4B$12.4B$13.9B$12.11B$9.B.12B4.2A$8.2AB.12B2.B2AB$8.2A15B.3B$9.2B.
14B.B$12.17B$12.19B$11.20B$10.20B2A$10.11B2D7B2A$11.11B2D5B.B$10.12BD
5B$9.19B$9.19B$11.17B$13.15B$4.7B.17B$4.22B2AB$2.C22BABAB$2.BC18B2.B
2A2B$.2B2C17B4.B.B2A$2B2C2B2A13B2A5.BA.A$2BC3B2A13B2A8.A$2.18B11.2A$
2.10B2.5B$3.6B5.7B$4.3B8.B3.2A$4.B14.A$3.2A15.3A$3.A18.A$4.3A$6.A!

EDIT: Make that two:

x = 40, y = 34, rule = LifeHistory
25.2A$13.B2.6B2.B2A2B$12.11B2.4B$9.B.12B3.4B$8.ECB.18B$8.EC20B$9.2B.
17B9.2A$12.17B.B.B5.A$12.22B.BA.A$11.23B.B2A$10.26B$10.11B2D13B$11.
11B2D12B$10.12BD13B$9.16B.B.2B2.3B$9.17B.4B$11.15B.B2AB$13.12B3.2A$4.
7B.13B$4.19B$2.C20B$2.BC18B$.2B2C17B$2B2C2B2A13B2C$2BC3B2A13B2C$2.18B
$2.10B2.5B$3.6B5.7B$4.3B8.B3.2C$4.B14.C$3.2A15.3C$3.A18.C$4.A$3.2A!
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Re: The Hunting of the Elementary Conduits

Postby simeks » May 20th, 2016, 2:03 pm

dvgrn wrote:The R output doesn't quite connect to most things...

I found a variant of RF48H that fits here:

x = 54, y = 41, rule = LifeHistory
13.2A$14.A$14.A.AB$15.2AB.2A$17.2B2AB$17.4B$17.6B3.2A$19.5B2.A.A$16.
8B3.AB6.2A$12.13B.2B8.A$9.B.19B6.A.AB$8.2AB.20B5.A.AB.B$8.2A23B5.A3B
2A$9.2B.6B2D13B4.3B.B2A$12.7B2D11B5.2B3.B$12.7BD15B.4B$11.22BD13B2.B$
10.23B2D8BD7B$10.11B2D11B2D5B3D7B$11.11B2D10BD6BDBD9B$10.12BD10BD7BD
11B$9.21B4.2B2.14BAB$9.18B2.3B9.10BABA$11.16B3.2A11.8BABA$13.15B2.A
13.8BA$4.7B.15B4.3A9.10B$4.19B3.B.A4.A9.9B$2.E20B2.A.A.A13.8B$2.BE18B
3.2A2.A14.7B$.2B2E17B7.2A14.5B$2B2E2B2A13B2A23.2B$2BE3B2A13B2A$2.18B$
2.10B2.5B$3.6B5.7B$4.3B8.B3.2A$4.B14.A$3.2A15.3A$3.A18.A$4.A$3.2A!
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Re: The Hunting of the Elementary Conduits

Postby gmc_nxtman » May 22nd, 2016, 12:02 pm

Would be a nice FNG-suppressing H->G, but the loaf gets in the way of most inputs I found...

x = 41, y = 50, rule = LifeHistory
D3.D.5D8.3D2.5D2.3D5.D$2D2.D.D11.D3.D3.D3.D7.2D$D.D.D.D15.D3.D3.D6.D.
D$D2.2D.3D3.5D3.2D4.D3.4D2.D2.D$D3.D.D15.D3.D3.D3.D.5D$D3.D.D11.D3.D
3.D3.D3.D4.D$D3.D.5D8.3D4.D4.3D5.D10$27.4B$26.4B$25.4B$24.4B$23.4B$
22.4B$21.4B$20.4B$9.2A8.4B.B$8.A2BA6.9B$8.BABA3B2.11B$8.2BA17B.2B$10.
7BC12B2A$12.5BCBC8B.B2A$12.5B3C6BAB2.B$12.7BC5BABA$13.11BA2BA$13.12B
2AB$13.14B$14.12B$14.10B$14.10B$14.11B$11.B2.11B$10.15B$9.15B$9.13B$
9.14B$9.14B$9.14B$7.2AB.12B$6.A.AB5.7B$6.A9.B.4B$5.2A!


The loaf is actually just there to clean up an extra bit of junk, so maybe if it can be cleaned up another way, it can be completed? If it can't, well, that's a waste of two transparent loaves...
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Re: The Hunting of the Elementary Conduits

Postby simsim314 » May 22nd, 2016, 3:23 pm

gmc_nxtman wrote:Would be a nice FNG-suppressing H->G


Some variation (the first is useless but the second can actually be useful):

x = 103, y = 30, rule = LifeHistory
91.C$89.3C$88.C$12.C12.2C61.2C$2C10.C.C10.2C$2C10.3C6.C$14.C5.C.C$19.
C2.C$20.2C66.C12.2C$88.C.C10.2C$88.3C6.C$90.C5.C.C$95.C2.C$96.2C8$2.
2C$.C.C$.C$2C2$78.2C$77.C.C$77.C$76.2C!
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Re: The Hunting of the Elementary Conduits

Postby gmc_nxtman » May 23rd, 2016, 10:13 am

The second can also trigger the old pseudo-conduit reaction:

x = 27, y = 36, rule = LifeHistory
3.2A$3.2A3$3.2A$3.2A$15.C$13.3C$12.C$12.2C5$12.C12.2C$12.C.C10.2C$12.
3C6.C$14.C5.C.C$19.C2.C$20.2C13$2.2C$.C.C$.C$2C!


EDIT: And so can the recent attachment to conduit 1:

x = 21, y = 26, rule = LifeHistory
13.2A$13.2A3$13.2A$13.2A7$C$.C$.2C$2C2.2C13.2C$C3.2C13.2C4$17.2A$17.A
$.2A15.3A$.A18.A$2.3A$4.A!


Is there a use for this reaction, though?

EDIT2:Another wasted transparent loaf...

x = 21, y = 26, rule = LifeHistory
4.2A$3.A2.A$3.A.A$4.A3$5.2A$5.2A5$C$.C$.2C$2C2.2C13.2C$C3.2C13.2C4$
17.2A$17.A$.2A15.3A$.A18.A$2.3A$4.A!
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Re: The Hunting of the Elementary Conduits

Postby simsim314 » May 24th, 2016, 3:49 am

Playing a bit with this conduit, this looks like something that could be completed:

x = 56, y = 28, rule = LifeHistory
17.C$17.3C$20.C$19.2C4$33.2C9.C$33.2C7.3C$41.C$41.2C4$9.C$9.C.C42.2C$
9.3C42.2C$11.C38.C$49.C.C$48.C2.C$49.2C2$2.2C$3.C$3C25.2C$C27.C.C$21.
2C7.C$21.2C7.2C!
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Re: The Hunting of the Elementary Conduits

Postby gmc_nxtman » May 25th, 2016, 11:32 am

B->H with a loaf to clean:

x = 40, y = 40, rule = LifeHistory
18.A$18.3A$21.A$20.2A7$17.C20.2A$18.C19.2A$18.2C14.A$17.2C14.A.A$17.C
14.A2.A$33.2A6$2A$.A$.A.A$2.2A12$16.2A$16.A$14.A.A$14.2A!


Maybe the activity on the left can be turned into a glider to clean up the loaf?

Lx200 is, rather infuriatingly, one lane off:

x = 63, y = 62, rule = LifeHistory
51.B$50.3D$50.BDB$49.2B3D$49.5B$49.6B$49.6B$49.5B$48.6B$49.6B$48.7B$
48.6B$48.6B$48.6B$47.8B$48.8B$47.9B$18.A28.9B$18.3A26.10B$21.A25.5B2A
3B$20.2A25.5B2A4B3.2A$20.4B23.11B3.A$22.4B21.4BD7BA.A$21.6B5.B16.B3D
4B2.2A$21.5B4.5B14.D2B2D2B$20.16B13.6B$15.21B.2B6.2A2.6B$13.4BC20B2A
4.A.A9B$11.7BC17B.B2A4.A3.9B$9.9B2C14BAB2.B4.2A3.9B$7.10B2C14BABA12.
9B$7.10BC14BA2BA12.9B$8.25B2AB11.11B$10.25B12.11B$11.23B13.12B$10.3B.
18B9.B4.14B$10.6B2D14B8.3B3.10B.4B$9.6BD2BD14B5.6B2.16B$2A6.8BDBD17B
2.7B.17B$.A6.9BD41B.3B$.A.AB2.26BD25B2.2B$2.2AB.27BDBD23B3.B$4.29B3DB
2A21B$4.31BDB2A21B$4.57B$4.27B3.26B$5.25B6.B2.20B$5.20B.4B8.20B.B.B$
6.3B3.12B13.24B2A$7.2B5.10B12.25B2A$16.7B12.4B.5B2.12B.2B$16.3B2.B12.
4B2.4B3.13B$17.B15.4B12.11B.B$16.2A14.4B13.12B2A$16.A15.3B14.10B.B2A$
14.A.A15.2B13.2AB.6B4.B$14.2A16.B13.A.AB.4B$46.A5.5B$45.2A8.2A$55.A$
56.3A$58.A!


EDIT: This very small nonspartan backwards H->B seems to have some potential:

x = 19, y = 26, rule = LifeHistory
13.2A$13.A.A$15.A$9.2A3.A.2A$10.A3.A3.A$10.A.2A.2A.A$11.A.A.A.A$13.4B
$12.4B$10.7B$7.2B.8B$6.12B$3.B2.4BC6B$2.D7BCBC4B$.2D7B3C4B$2D10BC4B$.
D14B$2.D8B.2B$4.11B$4.5B2.2A.A2.A$12.A.4A$10.A.A$10.2A2.2A$15.A$14.A$
14.2A!


EDIT2: Promising partial Lx139:

x = 37, y = 45, rule = LifeHistory
14.2A$15.A2.2A4.B$15.A.A.A3.3D$16.A.B4.BDB$18.2B2.2B3D$17.BA2B.5B$17.
A.A8B$18.A.8B$15.3A4.5B$15.A5.6B$22.6B$21.7B$12.2A7.6B$11.B2AB6.6B$
12.3B.12B$13.B2.11B$11.16B$9.18B$8.21B$8.22B$9.23B$3.4B2.8B.15B$.A31B
$2B2AD28B$3BACBD25B.2A$.3BDCDB2A17B2D2B3.A$5ABDB2A16BD2BDB3.A.A$3BA
23B2D3B3.2A$5.26B$7.B2.11B2D6B$9.11BD2BD6B$8.13B2D7B3.2A$7.22B3.A2.A$
6.4B.17B4.A.A.A$5.4B2.4B2.11B2.B2A2.A$4.4B10.8B.BA2B2.2A$3.4B11.9B.5A
$2.4B14.4B2.2A.B2.A$.4B21.BAB.2A$25.2BA.A$22.A2.A.A.A$22.4A.2A$26.A$
24.A.A$24.2A!


Is there anything to snark those beehives?
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Re: The Hunting of the Elementary Conduits

Postby Kazyan » June 13th, 2016, 4:43 pm

Awkward B-to-G:

x = 41, y = 35, rule = LifeHistory
4B29.A$.4B16.A9.3A$2.4B15.3A6.A$3.4B17.A4.B2A$4.4B15.2A3.4B7.2A$5.4B
14.8B7.A.A$6.4B15.6B3.2A3BA$7.4B10.10B2.A2BAB$8.4B8.12B.B2A2B$9.4B7.
19B$10.4B5.3B2C15B$11.4B4.4B2C13B$12.4B3.3B2C13B$13.4B3.2BC13B$14.4B
2.11B.4B$15.4B.11B2.2B$16.15B$17.15B$18.14B$19.14B$20.13B$21.12B$22.
10B$21.10B$22.9B$22.7B.B2A$23.5B2.BA.A$25.3B5.A$23.7B3.2A$23.2A.2B2A$
24.A3.ABA$21.3A5.BA$21.A7.A$30.3A$32.A!
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » June 13th, 2016, 9:19 pm

gmc_nxtman wrote:EDIT2: Promising partial Lx139...
Is there anything to snark those beehives?

Amusingly, your new G2-in-passing conduit would solve the problem, if you hooked it up:

x = 112, y = 110, rule = LifeHistory
61.2A$60.A2.A$61.2A34.11B$96.5B2A6B$96.4BA2BA5B$86.A10.3BA2BA4B$85.A.
A10.3B2A5B$85.A.A9.11B$84.2A.3A7.11B$66.B18.B4.A6.9B.B2A$65.3D9.5B.B
2AB3A8.8B.BA.A$65.BDB8.6B.B2A.A10.7B5.A$63.B3D2B6.11B9.11B4.2A$63.6B
5.10B5.2A2.14B$63.7B4.10B4.B2A8BD8B$63.8B3.10B2.B2.9B3D9B$64.8B2.26BD
10B$64.9B.37B$63.6B.41B$63.7B.40B$64.6B.40B$64.6B2.39B$63.3B2AB3.38B$
61.5B2A2B.39B$61.9B.39B$58.B.9B2.19B.3B.15B$57.2A11B.19B5.8B3.B.B$57.
2A6B2D19B2.B7.3B.2B3.3B$58.6BDBD18B11.2B7.B2AB$58.5B2D22B19.2A$60.28B
$58.29B$58.2AB2.9B3D12B$59.A4.8BDBD11B$56.3A3.2AB.6BDBD9B$56.A4.A.AB.
20B$61.A5.16B.2A$60.2A7.11B4.A$68.11B6.3A$68.11B8.A$59.2A7.10B$60.A7.
11B$60.A.AB3.14B$61.2AB.15B2A.2A$63.17B2ABA.A$63.19B3.A$63.20B2.2A$
62.21B$61.20B$59.21B$59.2BC19B.B$58.3BCBC4B.13B2A$57.4B3C4B2.12B2A$
56.7BC4B2.11B.B$56.11B3.9B$56.4B10.6B.B$56.3B12.5B$28.2A26.2B13.4B$
27.A2.A25.B15.5B$28.2A45.2A$75.A$76.3A$78.A3$14.2A$15.A2.2A4.B$15.A.A
.A3.3D$16.A.B4.BDB$18.2B2.2B3D$17.BA2B.5B$17.A.A8B$18.A.8B$15.3A4.5B$
15.A5.6B$22.6B$21.7B$12.2A7.6B$11.B2AB6.6B$12.3B.12B$13.B2.11B$11.16B
$9.18B$8.21B$8.22B$9.23B$3.4B2.8B.15B$.A31B$2B2AD28B$3BACBD25B.2A$.3B
DCDB2A17B2D2B3.A$5ABDB2A16BD2BDB3.A.A$3BA23B2D3B3.2A$5.26B$7.B2.11B2D
6B$9.11BD2BD6B$8.13B2D7B3.2A$7.22B3.A2.A$6.4B.17B4.A.A.A$5.4B2.4B2.
11B2.B2A2.A$4.4B10.8B.BA2B2.2A$3.4B11.9B.5A$2.4B14.4B2.2A.B2.A$.4B21.
BAB.2A$25.2BA.A$22.A2.A.A.A$22.4A.2A$26.A$24.A.A$24.2A!

Unfortunately that would probably increase the recovery time of the circuit far beyond the G2-producing conduit's already rather high recovery time. And I doubt that the other G2-in-passing conduit will improve things very much.
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Re: The Hunting of the Elementary Conduits

Postby gmc_nxtman » June 30th, 2016, 8:43 pm

Possible start for an HF->X containing a rare quadruple eater2 catalysis:

x = 18, y = 15, rule = LifeHistory
7.A$6.A.A$5.A3.A$5.A3.A$5.A3.A$6.A.A2.2A.A$7.A3.2A.3A$17.A$11.2A.3A$
12.A.A$.A10.A.A$A.A2.2A6.A$2A3.A.A$7.A$7.2A!


Two LoM->H converters, unfortunately the inputs seem a bit cramped (the first one is better but still hard to reach:

x = 108, y = 34, rule = LifeHistory
8.2A72.2A$2A6.A.A71.A2.2A$A.A6.AB72.2A.A$.2A2B3.2B3.B13.B47.2A8.B$.5B
2.10B.B5.6B36.2A6.A.A7.3B$2.29B36.A.A6.AB6.6B$.25BDB2A2B36.2A2B3.2B3.
B2.10B$24B3DB2AB37.5B2.19B3.2B2.2B$24BDBD5B37.14BD3B2A15BD$24BD5B38.
15B2D2B2A15BDBD$.14B2.2B2.2B.5B38.4B2D11B2D18B3DB$2.13B10.B41.5B2D10B
D21BD$.16B50.5BD10BD21B$.17B50.14B3.13B.B$.18B50.13B3.7B.B$3.19B47.
15B$3.19B46.17B$3.7B3C10B2.2A41.18B$4.6BC2BC9B3.A39.2AB.19B$4.7B3C8B
4.A.2A35.A.AB2.18B$5.17B2.B2A2.A35.A6.5B3C10B2.2A$6.2B2.10B.BA2B2.2A
35.2A7.4BC2BC9B3.A$5.3B2.11B.5A47.4B3C8B4.A.2A$.2A.2BA3.B.B3.2B2.2A.B
2.A49.13B2.B2A2.A$.A.2BA.A3.3B6.BAB.2A51.10B.BA2B2.2A$2.A2.B2A2.B2AB
5.2BA.A53.11B.5A$3.A7.2A3.A2.A.A.A53.B.B3.2B2.2A.B2.A$.A.5A8.4A.2A55.
3B6.BAB.2A$.2A4.A12.A56.B2AB5.2BA.A$4.3A11.A.A57.2A3.A2.A.A.A$.2A.A
13.2A63.4A.2A$.A.A83.A$85.A.A$85.2A!


And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else:

x = 45, y = 24, rule = LifeHistory
17.A23.4B$16.A.A21.4B$15.A.A2.AB17.4B$13.3A2.2A.AB.B13.4B$12.A3.2A2.B
A2B2A11.4B$13.3A2.3AB.B2A10.4B$15.A.A2.2B2.B10.4B$15.BABAB14.4B$7.2A
7.BA3B12.4B$6.A2BA7.4B11.4B$6.BABAB6.3B11.4B$6.2BA6B.5B9.4B$8.15B4.B.
4B$10.13BD2.6B$2A8.13B2D7B$.A7.2B2D11B2D7B$.A.AB4.3B2D10BD7B$2.2AB.6B
D4B3C3BD8B$4.2B2A9BCBC11B$4.BA.A9BCBC11B$5.2A3.8B.10B$10.7B3.5B.2B$
11.5B4.5B$21.3B!


I keep being so close to finding an actual conduit...
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Re: The Hunting of the Elementary Conduits

Postby BlinkerSpawn » June 30th, 2016, 9:56 pm

gmc_nxtman wrote:Two LoM->H converters, unfortunately the inputs seem a bit cramped (the first one is better but still hard to reach:
rle

Two eater welds for them:
x = 44, y = 74, rule = LifeHistory
18.2A$18.A2.2A$19.2A.A$11.2A8.B$3.2A6.A.A7.3B$3.A.A6.AB6.6B$4.2A2B3.
2B3.B2.10B$4.5B2.19B3.2B2.2B$5.14BD3B2A15BD$4.15B2D2B2A15BDBD$3.4B2D
11B2D18B3DB$3.5B2D10BD21BD$3.5BD10BD21B$4.14B3.13B.B$5.13B3.7B.B$5.
15B$4.17B7.A$4.18B5.A.A2.2A$2.2AB.19B3.2A3.A$.A.AB2.18B5.3A$.A6.5B3C
10B2.2A$2A7.4BC2BC9B3.A.2A$10.4B3C8B4.A.A$12.13B2.B2A2.A$13.10B.BA2B
2.2A$13.11B.5A$13.B.B3.2B2.2A.B2.A$14.3B6.BAB.2A$13.B2AB5.2BA.A$14.2A
3.A2.A.A.A$19.4A.2A$23.A$21.A.A$21.2A7$18.2A$18.A2.2A$19.2A.A$11.2A8.
B$3.2A6.A.A7.3B$3.A.A6.AB6.6B$4.2A2B3.2B3.B2.10B$4.5B2.19B3.2B2.2B$5.
14BD3B2A15BD$4.15B2D2B2A15BDBD$3.4B2D11B2D18B3DB$3.5B2D10BD21BD$3.5BD
10BD21B$4.14B3.13B.B$5.13B3.7B.B$5.15B$4.17B11.2A$4.18B6.2A.A.A$2.2AB
.19B3.2A.A$.A.AB2.18B6.A$.A6.5B3C10B2.2A.2A$2A7.4BC2BC9B3.A$10.4B3C8B
4.A.2A$12.13B2.B2A2.A$13.10B.BA2B2.2A$13.11B.5A$13.B.B3.2B2.2A.B2.A$
14.3B6.BAB.2A$13.B2AB5.2BA.A$14.2A3.A2.A.A.A$19.4A.2A$23.A$21.A.A$21.
2A!

gmc_nxtman wrote:And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else:
rle


I keep being so close to finding an actual conduit...

Well, we can make the same consideration that I did with a failed Pi turner from Gustavo however-long-ago and note that the block's in perfect position to eat a second input pi in the same location, making a hard-to-connect Pi-to-G+B into a more connectable 2Pi(Tau?)-to-G+H:
x = 79, y = 78, rule = LifeHistory
58.A$36.2A18.3A$37.A17.A$37.A.AB14.2A$38.2AB.2A12.B$40.2B2AB11.3B$39.
3B2.B2.2B6.6B$40.10B4.10B$39.13B2.11B3.2B2.2B$39.15BD3B2A15BD$39.15B
2D2B2A15BDBD$38.17B2D18B3DB$21.3B14.17BD21BD$11.5B4.5B13.16BD21B$10.
7B3.5B.2B10.17B.13B.4B$5.2A3.8B.10B7.27B.B5.3B$4.BA.A9BCBC14B2.22B10.
4B$4.2B2A9BCBC38B10.2A$2.2AB.6BD4B3C11BD27B10.A$.A.AB4.3B2D17BDBD26B
6.3A$.A7.2B2D7B2D9B3DB2A23B6.A$2A8.10B2D11BDB2A21B$10.49B$8.17B.2B.
29B$6.2BA6B.5B9.5B2.19B$6.BABAB6.3B11.4B.19B$6.A2BA7.4B11.24B$7.2A7.B
A3B12.10B.12B$15.BABAB13.10B.12B$15.A.A2.2B2.B7.10B3.9B.B2A$13.3A2.3A
B.B2A5.4B.4B8.6B.BA.A$12.A3.2A2.BA2B2A4.4B3.4B7.6B4.A$13.3A2.2A.AB.B
5.3B5.3B7.5B5.2A$15.A.A2.AB8.2B7.2B2A6.3B$16.A.A11.B9.BA.A6.2B$17.A
25.A5.4B$43.2A3.B2AB$49.2A3$58.A$36.2A18.3A$37.A17.A$37.A.AB14.2A$38.
2AB.2A12.B$40.2B2AB11.3B$39.3B2.B2.2B6.6B$40.10B4.10B$39.13B2.11B3.2B
2.2B$39.15BD3B2A15BD$39.15B2D2B2A15BDBD$38.17B2D18B3DB$21.3B14.17BD
21BD$11.5B4.5B13.16BD21B$10.7B3.5B.2B10.17B.13B.4B$5.2A3.8B.10B7.27B.
B5.3B$4.BA.A9BCBC14B2.22B10.4B$4.2B2A9BCBC38B10.2A$2.2AB.6BD4B3C11BD
27B10.A$.A.AB4.3B2D17BDBD26B6.3A$.A7.2B2D7B2C9B3DB2A23B6.A$2A8.10B2C
11BDB2A21B$10.49B$8.17B.2B.29B$6.2BA6B.5B9.5B2.19B$6.BABAB6.3B11.4B.
19B$6.A2BA7.4B11.24B$7.2A7.BA3B12.10B.12B$15.BABAB13.10B.12B$15.A.A2.
2B2.B7.10B3.9B.B2A$13.3A2.3AB.B2A5.4B.4B8.6B.BA.A$12.A3.2A2.BA2B2A4.
4B3.4B7.6B4.A$13.3A2.2A.AB.B5.3B5.3B7.5B5.2A$15.A.A2.AB8.2B7.2B2A6.3B
$16.A.A11.B9.BA.A6.2B$17.A25.A5.4B$43.2A3.B2AB$49.2A!

(Unfortunately, I needed to suppress the G output for this connection)
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » June 30th, 2016, 10:32 pm

BlinkerSpawn wrote:
gmc_nxtman wrote:And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else:
rle


I keep being so close to finding an actual conduit...

Well, we can make the same consideration that I did with a failed Pi turner from Gustavo however-long-ago and note that the block's in perfect position to eat a second input pi in the same location, making a hard-to-connect Pi-to-G+B into a more connectable 2Pi(Tau?)-to-G+H... (Unfortunately, I needed to suppress the G output for this connection)

There's at least one other connection that can rescue the rare forward G output and produce a clean period-doubling conduit. And one more dependent conduit on the end of that allows a perfectly good composite conduit to be completed:

[code]
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » June 30th, 2016, 10:36 pm

BlinkerSpawn wrote:
gmc_nxtman wrote:And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else...

I keep being so close to finding an actual conduit.

Well, we can make the same consideration that I did with a failed Pi turner from Gustavo however-long-ago and note that the block's in perfect position to eat a second input pi in the same location, making a hard-to-connect Pi-to-G+B into a more connectable 2Pi(Tau?)-to-G+H... (Unfortunately, I needed to suppress the G output for this connection)

There's at least one other connection that can rescue the rare forward G output and produce a clean period-doubling conduit. And one more dependent conduit on the end of that allows a perfectly good composite conduit to be completed:

x = 98, y = 80, rule = LifeHistory
26.2A$26.A18.2A$27.A17.A$26.2A14.BA.A$26.B12.2A.B2A$.4B19.3B11.B2A2B$
.5B16.6B6.2B2.B2.3B$.7B11.10B4.10B$.10B2.2B3.11B2.13B$.6BD15B2A3BD15B
26.2A$2E3BDBD15B2A2B2D15B26.A$2E3B3D18B2D17B26.A10.A$.4BD21BD17B25.2A
8.3A$2.26BD16B25.B8.A$9.4B.13B.17B10.B12.3B8.2A$10.2B6.B.27B7.2B10.6B
4.5B3.2A$11.B13.22B2.7B7.10B2.4B5.A$25.31B.2B3.11B2.5B.BA.A$24.27BD
15B2A3BD7B.B2A$23.26BDBD15B2A2B2D9B$23.23B2AB3D18B2D11B$25.21B2ABD21B
D12B$24.48BD12B2.B$25.29B.2B.15B.11B.3B5.2A$27.19B2.5B9.B.21B.3B5.A$
28.19B2.3B18.20B.BA.A$27.21B.2B8.A.A8.20B.B2A$27.12B.10B9.2A.A4.25B$
27.12B.5B.4B12.A4.25B$25.2AB.9B3.4B2.4B11.2A.27B$24.A.AB.6B13.4B12.
28B$24.A4.6B14.4B11.27B$23.2A5.5B15.4B10.26B4.4B$31.3B17.4B10.25B3.4B
$31.2B19.4B10.24B2.4B$30.4B19.4B12.20B2.4B$31.B2AB19.4B15.10B.4B2.4B$
32.2A21.4B13.13B4.4B$56.4B11.15B2.4B$57.4B9.16B.4B$58.4B7.21B$59.4B7.
19B$60.4B7.17B$61.4B6.5B2A2B.6B$62.4B7.3B2A2B2.4B$63.4B6.14B$64.4B4.
3B3D10B$65.4B3.4BD6B2.4B$66.4B2.2B3D5B4.4B$67.4B.9B6.4B$61.2A5.12B8.
4B$53.A6.B2AB5.10B10.4B$53.3A5.3B6.10B10.4B$56.A3.B.B7.10B$55.2A2.6B
6.8B7.2A$59.6B4.11B5.B2AB$47.2A10.21B6.2B$48.A10.21B7.2B$48.A.AB7.17B
2D2B5.2B2AB$49.2AB.3B2.18B2D3B.2B.BAB.A$51.21B3D10B.A.A$51.23BD9BA.A.
A.A$52.20B3D8BABA.A.A.A$51.30B2.BA2.A2.A$49.31B4.B2A.2A$47.19B3.12B5.
A.A$47.2BC15B4.6BD5B5.A.A$46.3BCBC4B.7B5.5B3D4B6.A$47.2B3C4B2.6B5.7BD
4B$46.5BC4B3.6B5.12B$45.10B6.4B7.5B2.2B2A$44.4B12.B2A2B7.3B4.BA2BA$
44.3B14.2A.B2A5.2AB5.BABA$42.4B18.BA.A3.A.AB5.2BA$42.2A23.A3.2AB$43.A
23.2A3.4B$40.3A31.2A$40.A33.A$75.3A$77.A!

It fits inside a 100x100 bounding box, but I'm afraid it's not even close to 300-tick recovery time...! As a period doubler, it can easily accept input at below p150, though (and then you don't need the cleanup glider from the final dependent conduit.)

I'll add it to the period multipliers collection -- those two eastward output gliders are nice.
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Re: The Hunting of the Elementary Conduits

Postby gmc_nxtman » July 1st, 2016, 8:51 pm

Is there any way to salvage this and make an H-to-G2?

x = 20, y = 33, rule = LifeHistory
12.2A$12.A.A$13.A19$C$C.C$3C$2.C14.2A$17.2A3$16.2A$9.2A5.A.A$10.A7.A$
7.3A8.2A$7.A!
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Re: The Hunting of the Elementary Conduits

Postby Extrementhusiast » July 2nd, 2016, 11:53 pm

gmc_nxtman wrote:Is there any way to salvage this and make an H-to-G2?

x = 20, y = 33, rule = LifeHistory
12.2A$12.A.A$13.A19$C$C.C$3C$2.C14.2A$17.2A3$16.2A$9.2A5.A.A$10.A7.A$
7.3A8.2A$7.A!

One of the eaters can be removed:
x = 19, y = 33, rule = LifeHistory
12.2A$12.A.A$13.A19$C$C.C$3C$2.C14.2A$17.2A4$9.2A$10.A$7.3A$7.A!

That modification notwithstanding, this catalysis seems promising:
x = 27, y = 33, rule = LifeHistory
12.2A$12.A.A$13.A9.A$21.3A$20.A$20.2A8$23.2A$23.2A6$20.2A.A$C19.2A.3A
$C.C23.A$3C17.2A.3A$2.C14.2A2.A.A$17.2A.A2.A$20.A.A$20.2A2$9.2A$10.A$
7.3A$7.A!

I'll keep looking.

EDIT: Found one:
x = 41, y = 33, rule = LifeHistory
22.2A2.2A$14.A7.A3.A.A$6.A6.A.A4.A.A4.A9.A$6.3A5.A5.2A13.3A$9.A24.A$
8.2A24.2A5$.2A.2A$2.A.A$2.A3.A$2A.4A30.2A$.A.A33.2A$.A2.A$2.2A4$34.2A
.A$14.C19.2A.3A$14.C.C23.A$14.3C17.2A.3A$16.C14.2A2.A.A$31.2A.A2.A$
34.A.A$34.2A2$23.2A$24.A$21.3A$21.A!
I Like My Heisenburps! (and others)
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Re: The Hunting of the Elementary Conduits

Postby gmc_nxtman » July 4th, 2016, 11:52 am

Extrementhusiast wrote:EDIT: Found one:
x = 41, y = 33, rule = LifeHistory
22.2A2.2A$14.A7.A3.A.A$6.A6.A.A4.A.A4.A9.A$6.3A5.A5.2A13.3A$9.A24.A$
8.2A24.2A5$.2A.2A$2.A.A$2.A3.A$2A.4A30.2A$.A.A33.2A$.A2.A$2.2A4$34.2A
.A$14.C19.2A.3A$14.C.C23.A$14.3C17.2A.3A$16.C14.2A2.A.A$31.2A.A2.A$
34.A.A$34.2A2$23.2A$24.A$21.3A$21.A!


Nice!

Here's a periodic HR54B:

x = 32, y = 26, rule = LifeHistory
2.4B$2.3B2A$.2ABA2B$.2AB.A.BA5.BA$2.B3.ABAB3.BABA$7.A2B3.BABA13.A$6.
4B4.BA2B10.3A$5.B2A2B2.5B10.A$6.2A2.12B6.A$10.14B3.2A2.A$10.15B.B2.3A
$11.16B2A$9.17B2.A.2A$7.19B2.A2.A$7.2BC15B4.2A$6.3BCBC4B.7B$7.2B3C4B
2.7B$6.5BC4B3.6B$5.10B4.5B$4.4B11.5B$4.3B12.5B$2.4B13.2D2BD$2.2A16.3D
$3.A17.D$3A$A!


EDIT Oops, this was already mentioned by Kazyan...
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Re: The Hunting of the Elementary Conduits

Postby AbhpzTa » July 14th, 2016, 6:39 pm

Dependent BRx161B:
x = 361, y = 95, rule = LifeHistory
23.2C98.2C98.2C98.2C$22.C.C97.C.C97.C.C97.C.C$18.2B2.BC94.2B2.BC94.2B
2.BC94.2B2.BC$16.7B93.7B93.7B93.7B$14.10B90.10B90.10B90.10B$7.2B3.12B
83.2B3.12B83.2B3.12B83.2B3.12B$5.5BE12B82.5BE12B82.5BE12B82.5BE12B$B
4.6BE10B78.B4.6BE10B78.B4.6BE10B78.B4.6BE10B$2B.8B2E7B80.2B.8B2E7B80.
2B.8B2E7B80.2B.8B2E7B$10B2E10B78.10B2E10B78.10B2E10B78.10B2E10B$10BE
12B77.10BE12B77.10BE12B77.10BE12B$.21B79.21B79.21B79.21B$2.4B.5B2C7B
81.4B.5B2C7B81.4B.5B2C7B81.4B.5B2C7B$3.4B.4B2C7B82.4B.4B2C7B82.4B.4B
2C7B82.4B.4B2C7B$4.16B84.16B84.16B84.16B$5.13B7.2C78.13B7.2C78.13B7.
2C78.13B7.2C$6.11B7.B2C2B77.11B7.B2C2B77.11B7.B2C2B77.11B7.B2C2B$7.
11B7.4B78.11B7.4B78.11B7.4B78.11B7.4B$8.10B5.6B79.10B5.6B79.10B5.6B
79.10B5.6B$8.11B4.6B79.11B4.6B79.11B4.6B79.11B4.6B$5.B.13B2.6B77.B.
13B2.6B77.B.13B2.6B77.B.13B2.6B$4.2CB.12B2.6B14.2C60.2CB.12B2.6B14.2C
60.2CB.12B2.6B14.2C60.2CB.12B2.6B14.2C$4.2C13B3.8B.B3.B6.C61.2C13B3.
8B.B3.B6.C61.2C13B3.8B.B3.B6.C61.2C13B3.8B.B3.B6.C$5.33B.BC.C62.33B.B
C.C62.33B.BC.C62.33B.BC.C$5.33B.B2C63.33B.B2C63.33B.B2C63.33B.B2C$7.
33B67.33B67.33B67.33B$7.33B67.33B67.33B67.33B$7.33B67.33B67.33B67.33B
$7.32B13.A54.32B13.A54.32B13.A54.32B13.A$5.2CB.26B6.2A7.3A52.2CB.26B
6.2A7.3A52.2CB.26B6.2A7.3A52.2CB.26B6.2A7.3A$4.C.CB.4B3.20B4.B2A2B4.A
54.C.CB.4B3.20B4.B2A2B4.A54.C.CB.4B3.20B4.B2A2B4.A54.C.CB.4B3.20B4.B
2A2B4.A$4.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B
4.4B4.2A53.C5.3B.5B.17B4.4B4.2A$3.2C9.2C8.14B2.B.9B52.2C9.2C8.14B2.B.
9B52.2C9.2C8.14B2.B.9B52.2C9.2C8.14B2.B.9B$15.C7.26B66.C7.26B66.C7.
26B66.C7.26B$12.3C8.28B61.3C8.28B61.3C8.28B61.3C8.28B$12.C11.2BD2B2D
21B60.C11.2BD2B2D21B60.C11.2BD2B2D21B60.C11.2BD2B2D21B$26.B3D22B74.B
3D22B74.B3D22B74.B3D22B$25.3BD3B2A18B2.2A69.3BD3B2A18B2.2A69.3BD3B2A
18B2.2A69.3BD3B2A18B2.2A$25.7B2A16B4.A70.7B2A16B4.A70.7B2A16B4.A70.7B
2A16B4.A$24.26B.BA.A69.26B.BA.A69.26B.BA.A69.26B.BA.A$24.26B.B2A70.
26B.B2A70.26B.B2A70.26B.B2A$23.29B71.29B71.29B71.29B$23.13B.15B71.13B
.15B71.13B.15B71.13B.15B$22.13B4.13B70.13B4.13B70.13B4.13B70.13B4.13B
$22.13B5.2B.8B71.13B5.2B.8B71.13B5.2B.8B71.13B5.2B.8B$23.5B.5B9.9B71.
5B.5B9.9B71.5B.5B9.9B71.5B.5B9.9B$23.5B.3B11.9B71.5B.3B11.9B71.5B.3B
5.B2.B.10B71.5B.3B5.B2.B.10B$21.A5B3.B9.12B69.A5B3.B9.12B69.A5B3.B5.
16B69.A5B3.B5.16B$20.A.A.2B12.13B69.A.A.2B12.13B69.A.A.2B10.15B69.A.A
.2B10.15B$20.2A14.B.13B69.2A14.B.13B69.2A12.17B69.2A12.17B$35.2A16B
82.2A14B83.19B81.19B$35.2A18BD79.2A15B82.21BD78.21BD$36.20BD79.16B80.
2AB.20BD75.2AB.20BD$36.4B2.14B2D78.4B2.10B.BA76.A.AB.20B2D73.A.AB.20B
2D$42.13B2D85.11BA.A75.A5.B2.B.13B2D74.A5.B2.B.13B2D$43.12BD87.8B.2BA
75.2A11.12BD74.2A11.12BD$42.10B90.10B.B88.10B90.10B$43.9B91.10B90.9B
91.9B$43.8B92.11B89.8B92.8B$43.8B92.12B88.8B92.8B$42.7B93.7B3.4B86.9B
91.9B$43.6B94.6B4.3B80.2A5.6B87.2A5.6B$43.6B94.6B5.2B81.A5.6B7.2A79.A
5.6B7.2A$45.4B95.2D2BD6.B81.A.AB2.8B6.A79.A.AB2.8B6.A$43.5B97.3D90.2A
B.11B.3A81.2AB.11B.3A$43.2A101.D93.14BA85.14BA$44.A195.14B86.14B$41.
3A196.13B87.13B$41.A198.13B86.14B7.A$239.11B.B85.D15B5.3A$238.4B2.6B
86.B3D12B.B3.A$237.4B3.7B86.DBD15B2.2A$236.4B4.7B88.D15B.3B$235.4B5.
8B.2B86.2B.13B$228.4B2.4B6.13B87.14B$227.5B.4B7.13B87.13B$227.9B8.14B
86.13B$227.8B10.12B88.14B$227.7B14.10B88.14B$227.6B2.B11.11B.B85.15B$
227.11B5.B.14B2A84.16B$227.32B2A85.14B$227.6B2ABD23B86.14B$227.6B2AB
3D21B85.B.10B$227.9BDBD17B88.13B$227.11BD15B2A88.6B.3B$227.15B2.2B2.
6B2AB.B85.5BAB$227.7B2.4B10.8B2A84.4BABAB$228.6B18.4B.B2A83.5BABAB$
229.3B21.2B3.B85.5BA2B$230.B21.2B91.B.6B$251.B2AB89.B.7B$252.2A89.2A
8B$342.A.A2.5B$342.2A4.2B!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: The Hunting of the Elementary Conduits

Postby Scorbie » July 14th, 2016, 11:56 pm

@abhpzta Wow! Nice find!
Best wishes to you, Scorbie
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » July 15th, 2016, 9:22 am

AbhpzTa wrote:Dependent BRx161B...

Scorbie wrote:@abhpzta Wow! Nice find!

Very interesting! So that's another Spartan diagonal component that can be made arbitrarily long, like simsim314's BRx46B and swimmer tracks and so on.

The main limitation with Guam's original BRx161B was that it was really hard to get a signal into it. Because of the awkward uncatchable early output glider, I only remember finding two options -- a "preset" using a (2,1) block pull to pull a block back into catalyzing position before the circuit is activated (see BRx46B pattern below left), or an old Herschel receiver, so you needed a tandem glider to get the signal started.

There was a really awkward spark that just barely reached back and knocked out a catalyst in all of the B-heptomino sources that were known at the time. Either that or the output glider caused trouble -- or both, as in the HL141B, below center.

x = 280, y = 118, rule = LifeHistory
91.D3.D.D7.D6.D4.D3.4D$4D2.4D11.D3.3D2.4D57.D3.D.D6.2D5.2D3.2D3.D3.D$
D3.D.D3.D9.2D2.D5.D3.D56.D3.D.D7.D4.D.D4.D3.D3.D$D3.D.D3.D.D3.D2.D.D
2.D5.D3.D56.5D.D7.D3.D2.D4.D3.4D$4D2.4D3.D.D2.D2.D2.4D2.4D57.D3.D.D7.
D3.5D3.D3.D3.D$D3.D.D2.D4.D3.5D.D3.D.D3.D56.D3.D.D7.D6.D4.D3.D3.D57.D
3.D.4D3.3D3.3D3.3D2.4D$D3.D.D3.D2.D.D5.D2.D3.D.D3.D56.D3.D.5D2.3D5.D
3.3D2.4D58.D3.D.D3.D.D3.D.D3.D.D3.D.D3.D$4D2.D3.D.D3.D4.D3.3D2.4D149.
D3.D.D3.D5.D.D2.2D5.D.D3.D$109.6B68.5D.4D5.D2.D.D.D3.2D2.4D$109.6B68.
D3.D.D2.D4.D3.2D2.D5.D.D3.D$109.5B69.D3.D.D3.D2.D4.D3.D.D3.D.D3.D$
109.2ABAB69.D3.D.D3.D.5D2.3D3.3D2.4D$109.5AB$109.B4AB$97.4B8.7B$98.4B
7.BA2CD2B$99.4B5.2BACA3B$100.4B4.2BDCD3B$101.4B2.8B100.2B$14.2B86.4B
2.2B2A3B99.5B$13.4B86.4B.2B2A5B97.7B$13.4B87.13B82.2A12.9B$12.6B84.
16B82.A6.15B$13.5B84.17B81.A.AB.16B5.2A$12.6B84.16B83.2AB.16B5.A$12.
10B20.2C58.15B7.E17.2C59.18B2.BA.A15.2C$12.C2B2C6B18.C.C59.13B8.3E14.
C.C59.19B.B2A15.C.C$9.2B.B3C7B14.2B2.BC52.A8.11B12.E9.2B2.BC60.21B13.
2B2.BC$8.2A4BC9B11.7B53.3A6.15B7.2E7.7B61.21B11.7B$8.2A2D12B9.10B55.A
3.20B4.B6.10B58.23B9.10B$6.BD2B2D12B2.2B3.12B54.2A3.26B3.12B47.A9.22B
.B2.2B3.12B$5.DBDB.19BD12B55.32BD12B48.3A6.30BD12B$6.2D2B2.18BD10B58.
31BD10B52.A4.32BD10B$6.4B2.18B2D7B58.33B2D7B53.2A3.33B2D7B$12.17B2D
10B55.33B2D10B45.B5.37B2D10B$11.18BD12B54.33BD12B42.5B5.35BD12B$8.2B.
2B2A26B55.45B43.6B2.49B$7.2A3BA2BA3B.5B.5B2C7B54.2AB.33B2C7B43.2A46B
2C7B$7.2AB.2B2A2B5.4B.4B2C7B53.A.AB.19B.8B.4B2C7B43.2AB.33B2.4B.4B2C
7B$8.B2.6B6.16B54.A5.23B.16B45.B2.33B3.16B$12.4B8.13B7.2C46.2A5.7B.
13B4.13B7.2C41.28B.2B6.13B7.2C$12.4B9.11B7.B2C2B52.3B.3B.4B3.4B6.11B
7.B2C2B38.28B.4B6.11B7.B2C2B$13.2B11.11B7.4B51.2B2.3B3.B4.4B8.11B7.4B
38.27B2.B2AB7.11B7.4B$27.10B5.6B50.B2AB.B2AB6.4B10.10B5.6B38.27B3.2A
9.10B5.6B$27.11B4.6B51.2A3.2A6.4B11.11B4.6B41.23B15.11B4.6B$24.B.13B
2.6B64.4B9.B.13B2.6B44.20B13.B.13B2.6B$23.2CB.12B2.6B14.2C47.4B9.2CB.
12B2.6B14.2C32.15B13.2CB.12B2.6B14.2C$23.2C13B3.8B.B3.B6.C47.4B10.2C
13B3.8B.B3.B6.C32.13B16.2C13B3.8B.B3.B6.C$24.33B.BC.C62.33B.BC.C31.
15B16.33B.BC.C$24.33B.B2C47.2A14.33B.B2C31.16B16.33B.B2C$26.33B50.A
16.33B32.17B18.33B$26.33B47.3A17.33B33.16B18.33B$26.33B47.A19.33B34.
13B20.33B$26.32B13.A54.32B13.A21.5B2A2B.4B19.32B13.A$24.2CB.26B6.2A7.
3A52.2CB.26B6.2A7.3A23.3B2A2B2.4B16.2CB.26B6.2A7.3A$23.C.CB.4B3.20B4.
B2A2B4.A54.C.CB.4B3.20B4.B2A2B4.A26.8B2.4B14.C.CB.4B3.20B4.B2A2B4.A$
23.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B4.4B4.2A24.3BDCD2B4.4B13.C5.3B.
5B.17B4.4B4.2A$22.2C9.2C8.14B2.B.9B52.2C9.2C8.14B2.B.9B24.3BACA2B5.4B
11.2C9.2C8.14B2.B.9B$34.C7.26B66.C7.26B26.2BD2CAB7.4B22.C7.26B$31.3C
8.28B61.3C8.28B24.7B8.4B18.3C8.28B$31.C11.2BD2B2D21B60.C11.2BD2B2D21B
24.B4AB30.C11.2BD2B2D21B$45.B3D22B74.B3D22B24.B5A11.2A31.B3D22B$44.3B
D3B2A18B2.2A69.3BD3B2A18B2.2A21.BAB2A11.A31.3BD3B2A18B2.2A$44.7B2A16B
4.A70.7B2A16B4.A22.5B12.3A28.7B2A16B4.A$43.26B.BA.A69.26B.BA.A21.6B
14.A27.26B.BA.A$43.26B.B2A70.26B.B2A22.6B42.26B.B2A$42.29B71.29B71.
29B$42.13B.15B71.13B.15B71.13B.15B$41.13B4.13B70.13B4.13B70.13B4.13B$
41.13B5.2B.8B71.13B5.2B.8B71.13B5.2B.8B$42.5B.5B9.9B71.5B.5B9.9B71.5B
.5B9.9B$42.5B.3B11.9B71.5B.3B11.9B71.5B.3B5.B2.B.10B$40.A5B3.B9.12B
69.A5B3.B9.12B69.A5B3.B5.16B$39.A.A.2B12.13B69.A.A.2B12.13B69.A.A.2B
10.15B$39.2A14.B.13B69.2A14.B.13B69.2A12.17B$54.2A16B82.2A14B83.19B$
54.2A18BD79.2A15B82.21BD$55.20BD79.16B80.2AB.20BD$55.4B2.14B2D78.4B2.
10B.BA76.A.AB.20B2D$61.13B2D85.11BA.A75.A5.B2.B.13B2D$62.12BD87.8B.2B
A75.2A11.12BD$61.10B90.10B.B88.10B$62.9B91.10B90.9B$62.8B92.11B89.8B$
62.8B92.12B88.8B$61.7B93.7B3.4B86.9B$62.6B94.6B4.3B80.2A5.6B$62.6B94.
6B5.2B81.A5.6B7.2A$64.4B95.2D2BD6.B81.A.AB2.8B6.A$62.5B97.3D90.2AB.
11B.3A$62.2A101.D93.14BA$63.A195.14B$60.3A196.13B$60.A198.13B$258.11B
.B$257.4B2.6B$256.4B3.7B$255.4B4.7B$254.4B5.8B.2B$247.4B2.4B6.13B$
246.5B.4B7.13B$246.9B8.14B$246.8B10.12B$246.7B14.10B$246.6B2.B11.11B.
B$246.11B5.B.14B2A$246.32B2A$246.6B2ABD23B$246.6B2AB3D21B$246.9BDBD
17B$246.11BD15B2A$246.15B2.2B2.6B2AB.B$246.7B2.4B10.8B2A$247.6B18.4B.
B2A$248.3B21.2B3.B$249.B21.2B$270.B2AB$271.2A!
#C [[ STOP 544 ]]

However, I now see that the Spartan HR203B sneaks a B-heptomino in with no problem, just barely letting the problematic glider out (above right). Did I know that at one point, or did someone else mention it? Are there any other new B outputs that can be connected to a BRx161B successfully?
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Re: The Hunting of the Elementary Conduits

Postby gmc_nxtman » July 25th, 2016, 1:10 pm

Another possibly salvagable H->G2:

x = 28, y = 23, rule = LifeHistory
12.2A$12.2A3$2A$.A$.A.A$2.2A5$24.2A$24.A.A$2.C23.A$2.C.C21.2A$2.3C$4.
C4$19.2A$19.2A!


This one just needs a catalyst to replace the block. (Standard eaters and BTS don't work)
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gmc_nxtman
 
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Re: The Hunting of the Elementary Conduits

Postby Kazyan » July 29th, 2016, 1:28 pm

R-to-G:

x = 34, y = 29, rule = LifeHistory
11.2A$12.A5.3B$12.A.AB.4B$13.2AB.6B.B$15.12B$15.12B5.2A$15.13B4.A$14.
13B2.BA.A$14.14B.B2A$15.15B$15.6B2A7B$14.6BA2BA6B$13.8B2A6B$13.B2C13B
$13.2B2C11B$12.3BC10B$11.12B$10.10B.B$9.4B.5B$8.4B3.3B$7.4B5.B$6.4B4.
5B$5.4B5.2A.2A$4.4B7.A.A$3.4B6.A.A.A.A$2.4B7.2A3.2A$.D3B$D3B$3D!
Tanner Jacobi
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Kazyan
 
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