## 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

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

rle

HF(x?)236B based on that start:
x = 39, y = 39, rule = LifeHistory14.2A$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$.28B2D7B$.2BC25BD8B$3BCBC4B.17BD10B$.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)

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

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1818
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: The Hunting of the Elementary Conduits

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 = LifeHistory41.2A$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$28.4B4.4B21.4B2.3B$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$19.4B22.4B12.A5.5B3.A$18.4B24.4B10.2A5.4B5.5A$17.4B26.4B15.4B10.A4.A$16.4B28.4B13.4B5.6A3.3A$3.2A10.4B18.2A10.4B11.4B6.A2.A4.A$4.A9.4B20.A11.4B9.4B15.2A$2.A10.4B19.A14.4B7.4B4.A8.5B$2.5A5.4B5.2A13.5A11.4B5.4B5.3A5.4B$7.A4.4B5.A18.A7.A4.4B3.4B9.A3.7B$4.3AB2.7B.BA.A12.4AB7.3A5.4B.4B9.2A2.9B$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.A7.8B10.7B6.18B2A$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.23BD35B2D2B2A15BDBD$24.27B2D8BDB2A22BD3B2A15BD$24.28B2D5B3DB2A21B.11B3.2B2.2B$24.2BC25BD6BDBD23B2.10B$23.3BCBC4B.17BD7BD25B3.6B$24.2B3C4B2.49B5.3B$23.5BC4B2.27B2.7B.13B4.B$23.19B.17B4.6B2.13B3.2A$23.2B6.11B2.16B6.3B3.11B5.A$23.B8.10B3.14B8.B4.9B8.A$31.B.10B2.6B.B.4B15.8B7.2A$30.A2B.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$30.2A! That took three Snarks. I think it could be done with a better recovery time using two Snarks, a syringe, and an H-to-boat converter... but somehow that doesn't really seem like it will be an improvement. dvgrn Moderator Posts: 5713 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: The Hunting of the Elementary Conduits Not sure if this H-to-Pi has been posted before. It doesn't connect to anything, but it looks like something that all those unconnectible Pi-to-Xs we've seen, should be tested against: x = 34, y = 16, rule = LifeHistory.2A$.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.E26B$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 = LifeHistory60.C$58.3C$10.2C45.C$11.C6.C38.2C7.C$10.C5.3C45.3C$10.2C3.C47.C$6.2C7.2C46.2C$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!
simeks

Posts: 369
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: The Hunting of the Elementary Conduits

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 = LifeHistoryE$.E$.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 = LifeHistory20.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.A18.C$2.A63.A63.A$.2A62.2A62.2A!
simeks

Posts: 369
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: The Hunting of the Elementary Conduits

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 = LifeHistory11.4B$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$10.12BD5B$9.19B$9.19B$11.17B$13.15B$4.7B.17B$4.22B2AB$2.C22BABAB$2.BC18B2.B2A2B$.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 = LifeHistory25.2A$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! dvgrn Moderator Posts: 5713 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: The Hunting of the Elementary Conduits 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 = LifeHistory13.2A$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.A3B2A$9.2B.6B2D13B4.3B.B2A$12.7B2D11B5.2B3.B$12.7BD15B.4B$11.22BD13B2.B$10.23B2D8BD7B$10.11B2D11B2D5B3D7B$11.11B2D10BD6BDBD9B$10.12BD10BD7BD11B$9.21B4.2B2.14BAB$9.18B2.3B9.10BABA$11.16B3.2A11.8BABA$13.15B2.A13.8BA$4.7B.15B4.3A9.10B$4.19B3.B.A4.A9.9B$2.E20B2.A.A.A13.8B$2.BE18B3.2A2.A14.7B$.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! simeks Posts: 369 Joined: March 11th, 2015, 12:03 pm Location: Sweden ### Re: The Hunting of the Elementary Conduits 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 = LifeHistoryD3.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$D3.D.D11.D3.D3.D3.D3.D4.D$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$13.12B2AB$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... gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits 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 = LifeHistory91.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!

simsim314

Posts: 1686
Joined: February 10th, 2014, 1:27 pm

### Re: The Hunting of the Elementary Conduits

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

x = 27, y = 36, rule = LifeHistory3.2A$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 = LifeHistory13.2A$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 = LifeHistory4.2A$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! gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits Playing a bit with this conduit, this looks like something that could be completed: x = 56, y = 28, rule = LifeHistory17.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! simsim314 Posts: 1686 Joined: February 10th, 2014, 1:27 pm ### Re: The Hunting of the Elementary Conduits B->H with a loaf to clean: x = 40, y = 40, rule = LifeHistory18.A$18.3A$21.A$20.2A7$17.C20.2A$18.C19.2A$18.2C14.A$17.2C14.A.A$17.C14.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 = LifeHistory51.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.A25.5B2A3B$20.2A25.5B2A4B3.2A$20.4B23.11B3.A$22.4B21.4BD7BA.A$21.6B5.B16.B3D4B2.2A$21.5B4.5B14.D2B2D2B$20.16B13.6B$15.21B.2B6.2A2.6B$13.4BC20B2A4.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$2A6.8BDBD17B2.7B.17B$.A6.9BD41B.3B$.A.AB2.26BD25B2.2B$2.2AB.27BDBD23B3.B$4.29B3DB2A21B$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 = LifeHistory13.2A$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 = LifeHistory14.2A$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$3BA23B2D3B3.2A$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?

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the Elementary Conduits

Awkward B-to-G:

x = 41, y = 35, rule = LifeHistory4B29.A$.4B16.A9.3A$2.4B15.3A6.A$3.4B17.A4.B2A$4.4B15.2A3.4B7.2A$5.4B14.8B7.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$14.4B2.11B.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!
Tanner Jacobi

Kazyan

Posts: 830
Joined: February 6th, 2014, 11:02 pm

### Re: The Hunting of the Elementary Conduits

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 = LifeHistory61.2A$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.B2AB3A8.8B.BA.A$65.BDB8.6B.B2A.A10.7B5.A$63.B3D2B6.11B9.11B4.2A$63.6B5.10B5.2A2.14B$63.7B4.10B4.B2A8BD8B$63.8B3.10B2.B2.9B3D9B$64.8B2.26BD10B$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$3BACBD25B.2A$.3BDCDB2A17B2D2B3.A$5ABDB2A16BD2BDB3.A.A$3BA23B2D3B3.2A$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! 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. dvgrn Moderator Posts: 5713 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: The Hunting of the Elementary Conduits Possible start for an HF->X containing a rare quadruple eater2 catalysis: x = 18, y = 15, rule = LifeHistory7.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 = LifeHistory8.2A72.2A$2A6.A.A71.A2.2A$A.A6.AB72.2A.A$.2A2B3.2B3.B13.B47.2A8.B$.5B2.10B.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$2.13B10.B41.5B2D10BD21BD$.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$4.7B3C8B4.A.2A35.A.AB2.18B$5.17B2.B2A2.A35.A6.5B3C10B2.2A$6.2B2.10B.BA2B2.2A35.2A7.4BC2BC9B3.A$5.3B2.11B.5A47.4B3C8B4.A.2A$.2A.2BA3.B.B3.2B2.2A.B2.A49.13B2.B2A2.A$.A.2BA.A3.3B6.BAB.2A51.10B.BA2B2.2A$2.A2.B2A2.B2AB5.2BA.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.A13.2A63.4A.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 = LifeHistory17.A23.4B$16.A.A21.4B$15.A.A2.AB17.4B$13.3A2.2A.AB.B13.4B$12.A3.2A2.BA2B2A11.4B$13.3A2.3AB.B2A10.4B$15.A.A2.2B2.B10.4B$15.BABAB14.4B$7.2A7.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.6BD4B3C3BD8B$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... gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits 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 = LifeHistory18.2A$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$3.5BD10BD21B$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$.A6.5B3C10B2.2A$2A7.4BC2BC9B3.A.2A$10.4B3C8B4.A.A$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$21.2A7$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$3.5BD10BD21B$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$10.4B3C8B4.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 = LifeHistory58.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$39.15B2D2B2A15BDBD$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.AB4.3B2D17BDBD26B6.3A$.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.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$49.2A3$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$39.13B2.11B3.2B2.2B$39.15BD3B2A15BD$39.15B2D2B2A15BDBD$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.AB4.3B2D17BDBD26B6.3A$.A7.2B2D7B2C9B3DB2A23B6.A$2A8.10B2C11BDB2A21B$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) LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1876 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: The Hunting of the Elementary Conduits 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] dvgrn Moderator Posts: 5713 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: The Hunting of the Elementary Conduits 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 = LifeHistory26.2A$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$.10B2.2B3.11B2.13B$.6BD15B2A3BD15B26.2A$2E3BDBD15B2A2B2D15B26.A$2E3B3D18B2D17B26.A10.A$.4BD21BD17B25.2A8.3A$2.26BD16B25.B8.A$9.4B.13B.17B10.B12.3B8.2A$10.2B6.B.27B7.2B10.6B4.5B3.2A$11.B13.22B2.7B7.10B2.4B5.A$25.31B.2B3.11B2.5B.BA.A$24.27BD15B2A3BD7B.B2A$23.26BDBD15B2A2B2D9B$23.23B2AB3D18B2D11B$25.21B2ABD21BD12B$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$55.2A2.6B6.8B7.2A$59.6B4.11B5.B2AB$47.2A10.21B6.2B$48.A10.21B7.2B$48.A.AB7.17B2D2B5.2B2AB$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$47.2B3C4B2.6B5.7BD4B$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.A23.2A3.4B$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.

dvgrn
Moderator

Posts: 5713
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the Elementary Conduits

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

x = 20, y = 33, rule = LifeHistory12.2A$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!

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the Elementary Conduits

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

x = 20, y = 33, rule = LifeHistory12.2A$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 = LifeHistory12.2A$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 = LifeHistory12.2A$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 = LifeHistory22.2A2.2A$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)

Extrementhusiast

Posts: 1768
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: The Hunting of the Elementary Conduits

Extrementhusiast wrote:EDIT: Found one:
x = 41, y = 33, rule = LifeHistory22.2A2.2A$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 = LifeHistory2.4B$2.3B2A$.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$7.2B3C4B2.7B$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... gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits Dependent BRx161B: x = 361, y = 95, rule = LifeHistory23.2C98.2C98.2C98.2C$22.C.C97.C.C97.C.C97.C.C$18.2B2.BC94.2B2.BC94.2B2.BC94.2B2.BC$16.7B93.7B93.7B93.7B$14.10B90.10B90.10B90.10B$7.2B3.12B83.2B3.12B83.2B3.12B83.2B3.12B$5.5BE12B82.5BE12B82.5BE12B82.5BE12B$B4.6BE10B78.B4.6BE10B78.B4.6BE10B78.B4.6BE10B$2B.8B2E7B80.2B.8B2E7B80.2B.8B2E7B80.2B.8B2E7B$10B2E10B78.10B2E10B78.10B2E10B78.10B2E10B$10BE12B77.10BE12B77.10BE12B77.10BE12B$.21B79.21B79.21B79.21B$2.4B.5B2C7B81.4B.5B2C7B81.4B.5B2C7B81.4B.5B2C7B$3.4B.4B2C7B82.4B.4B2C7B82.4B.4B2C7B82.4B.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$8.10B5.6B79.10B5.6B79.10B5.6B79.10B5.6B$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.12B2.6B14.2C60.2CB.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.BC.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.26B6.2A7.3A52.2CB.26B6.2A7.3A52.2CB.26B6.2A7.3A$4.C.CB.4B3.20B4.B2A2B4.A54.C.CB.4B3.20B4.B2A2B4.A54.C.CB.4B3.20B4.B2A2B4.A54.C.CB.4B3.20B4.B2A2B4.A$4.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B4.4B4.2A53.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.C11.2BD2B2D21B60.C11.2BD2B2D21B60.C11.2BD2B2D21B60.C11.2BD2B2D21B$26.B3D22B74.B3D22B74.B3D22B74.B3D22B$25.3BD3B2A18B2.2A69.3BD3B2A18B2.2A69.3BD3B2A18B2.2A69.3BD3B2A18B2.2A$25.7B2A16B4.A70.7B2A16B4.A70.7B2A16B4.A70.7B2A16B4.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.3B5.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$35.2A16B82.2A14B83.19B81.19B$35.2A18BD79.2A15B82.21BD78.21BD$36.20BD79.16B80.2AB.20BD75.2AB.20BD$36.4B2.14B2D78.4B2.10B.BA76.A.AB.20B2D73.A.AB.20B2D$42.13B2D85.11BA.A75.A5.B2.B.13B2D74.A5.B2.B.13B2D$43.12BD87.8B.2BA75.2A11.12BD74.2A11.12BD$42.10B90.10B.B88.10B90.10B$43.9B91.10B90.9B91.9B$43.8B92.11B89.8B92.8B$43.8B92.12B88.8B92.8B$42.7B93.7B3.4B86.9B91.9B$43.6B94.6B4.3B80.2A5.6B87.2A5.6B$43.6B94.6B5.2B81.A5.6B7.2A79.A5.6B7.2A$45.4B95.2D2BD6.B81.A.AB2.8B6.A79.A.AB2.8B6.A$43.5B97.3D90.2AB.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$238.4B2.6B86.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$227.9B8.14B86.13B$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$227.6B2AB3D21B85.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$252.2A89.2A8B$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). AbhpzTa Posts: 468 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: The Hunting of the Elementary Conduits @abhpzta Wow! Nice find! Best wishes to you, Scorbie Scorbie Posts: 1380 Joined: December 7th, 2013, 1:05 am ### Re: The Hunting of the Elementary Conduits 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 = LifeHistory91.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.D2.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.D3.D.4D3.3D3.3D3.3D2.4D$D3.D.D3.D2.D.D5.D2.D3.D.D3.D56.D3.D.5D2.3D5.D3.3D2.4D58.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$98.4B7.BA2CD2B$99.4B5.2BACA3B$100.4B4.2BDCD3B$101.4B2.8B100.2B$14.2B86.4B2.2B2A3B99.5B$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.A3.20B4.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$12.17B2D10B55.33B2D10B45.B5.37B2D10B$11.18BD12B54.33BD12B42.5B5.35BD12B$8.2B.2B2A26B55.45B43.6B2.49B$7.2A3BA2BA3B.5B.5B2C7B54.2AB.33B2C7B43.2A46B2C7B$7.2AB.2B2A2B5.4B.4B2C7B53.A.AB.19B.8B.4B2C7B43.2AB.33B2.4B.4B2C7B$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.4B3.4B6.11B7.B2C2B38.28B.4B6.11B7.B2C2B$13.2B11.11B7.4B51.2B2.3B3.B4.4B8.11B7.4B38.27B2.B2AB7.11B7.4B$27.10B5.6B50.B2AB.B2AB6.4B10.10B5.6B38.27B3.2A9.10B5.6B$27.11B4.6B51.2A3.2A6.4B11.11B4.6B41.23B15.11B4.6B$24.B.13B2.6B64.4B9.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.C47.4B10.2C13B3.8B.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.A16.33B32.17B18.33B$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.9B24.3BACA2B5.4B11.2C9.2C8.14B2.B.9B$34.C7.26B66.C7.26B26.2BD2CAB7.4B22.C7.26B$31.3C8.28B61.3C8.28B24.7B8.4B18.3C8.28B$31.C11.2BD2B2D21B60.C11.2BD2B2D21B24.B4AB30.C11.2BD2B2D21B$45.B3D22B74.B3D22B24.B5A11.2A31.B3D22B$44.3BD3B2A18B2.2A69.3BD3B2A18B2.2A21.BAB2A11.A31.3BD3B2A18B2.2A$44.7B2A16B4.A70.7B2A16B4.A22.5B12.3A28.7B2A16B4.A$43.26B.BA.A69.26B.BA.A21.6B14.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.B9.12B69.A5B3.B9.12B69.A5B3.B5.16B$39.A.A.2B12.13B69.A.A.2B12.13B69.A.A.2B10.15B$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.2BA75.2A11.12BD$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$246.9BDBD17B$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?

dvgrn
Moderator

Posts: 5713
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the Elementary Conduits

Another possibly salvagable H->G2:

x = 28, y = 23, rule = LifeHistory12.2A$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) gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits R-to-G: x = 34, y = 29, rule = LifeHistory11.2A$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

Kazyan

Posts: 830
Joined: February 6th, 2014, 11:02 pm

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