## The Hunting of the New Herschel Conduits

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

### Re: The Hunting of the New Herschel Conduits

A new H-to-G3, with a very close-spaced salvo:

x = 17, y = 18, rule = LifeHistory7.2C$7.C$5.C.C$4.C.C$2C3.C$2C$11.2C$11.C.C$13.C$13.C.2C$10.2C.C.2C$E8.C2.C$E.E7.2C$3E$2.E7.4C$11.C2.C$9.C3.2C$9.2C! simeks Posts: 369 Joined: March 11th, 2015, 12:03 pm Location: Sweden ### Re: The Hunting of the New Herschel Conduits Scorbie wrote:Very unlikely, but any chance of a MWSS heisenburp? x = 12, y = 12, rule = LifeHistory9.A$7.A3.A$6.A$6.A4.A$6.5A4$.2A$A2.A$.A.A$2.A! I've actually made one, but from a different bait SL: x = 152, y = 156, rule = B3/S23100b2o$99bobo$93b2o4bo$91bo2bo2b2ob4o$91b2obobobobo2bo$94bobobobo$94bobob2o$95bo2$108b2o$99b2o7bo$99b2o5bobo$106b2o7$96b2o$97bo$94b3o$94bo$71bo$71b3o$74bo$73b2o2$93bo$91b3o$90bo$90b2o4$83b2o$82bobo$82b2o2$6bo$4bo3bo$9bo$4bo4bo$5b5o4$113bo$112bobo$112bobo$113bo33b2o$147bo$149bo$129b2o14b5o$130bo13bo$130bobo12b3o$90b2o39b2o15bo$90bo54b4o$91b3o46b2o3bo3b2o$93bo46b2o4b3o2bo$148bob2o$42b2o104bo$42b2o78b2o23b2o$122b2o2$41bo62b2o33b2o$40bobo60bobo33bo$41bo38b2o4b2o15bo36b3o$38b3o39b2o4b2o14b2o38bo$38bo94b2o$132bo2bo2b2o$132bobo4bo$81b2o30b2o18bo5bob2o$81b2o2b2o25bobo21b2obobo$72b2o11bobo24bo23bo2bo2bo$72bobo12bo23b2o20bo4bo2b2o$74bo12b2o44b5o$74b2o$59b2o74b2obo$58bobo74bob2o$58bo$57b2o8$9bo$9b3o$12bo$11b2o81bo$65b2o25b3o$65b2o24bo$3b2o86b2o$3bo52b2obo$2obo52bob2o$o2b3o4b2o62b2o$b2o3bo3b2o62bo$3b4o65bobo$3bo15b2o51b2o$4b3o12bobo59b2o$7bo13bo4b2o29bo22bobo5b2o$2b5o14bob2o2bo29b3o20bo7b2o$2bo17b2o2b3o21bo11bo18b2o$4bo17bo9bo15b3o8b2o14bo$3b2o17b3o5b3o18bo22bobo16bo$25bo3bo20b2o23bo13b2obobo$24b2o3b2o57bobobobo$80bo4bo2bobobobob2o$78b3o4b4ob2o2bo2bo$77bo11bo4b2o$77b2o8bobo$86bobo$86bo$85b2o$38b2o46bob2o$38b2o23b2o21bobo$26b2o35bo14b2o4b3o2bo$25bo2bo35b3o11b2o3bo3b2o$20b2o4b2o38bo16b4o$19bobo47b2o15bo$19bo48bobo12b3o$18b2o48bo13bo$28b2o37b2o14b5o$28bo58bo$29b3o53bo$31bo53b2o5$55bo$55b3o$58bo$57b2o7$67b2o$60b2o5bobo$60b2o7bo$69b2o2$56bo$55bobob2o$55bobobobo$52b2obobobobo2bo$52bo2bo2b2ob4o$54b2o4bo$60bobo$61b2o!

This is a link to one I constructed in the pre-Snark era.
I Like My Heisenburps! (and others)

Extrementhusiast

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### Re: The Hunting of the New Herschel Conduits

I was looking for a more direct one, but that looks like a long shot Nice to see those heisenburps! I hope that the latter would be a little more slow-salvo friendly although I would not want to build them...
Best wishes to you, Scorbie

Scorbie

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Joined: December 7th, 2013, 1:05 am

### Re: The Hunting of the New Herschel Conduits

Weird spartan B-to-Pi:

x = 33, y = 29, rule = LifeHistory3B19.B$4B13.7B6.2C$.4B10.11B3.C2BC$2.4B9.8BC3B.BCBCB$3.4B8.7BCBC5BC2B$4.4B6.7BC2BC6B$5.4B3.2B.7B2C5B$6.23B$7.23B$8.22B$9.11B2C8B$11.10B2C6B$13.7B2C7B$13.7BC7B$13.12B3D$13.14BD$13.12B3D$13.14B$14.12B$16.8B$16.7B$17.6B$16.6B$16.6B$17.4B$15.2CB$14.C.CB$14.C$13.2C!
Tanner Jacobi

Kazyan

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### Re: The Hunting of the New Herschel Conduits

The above B-to-Pi appears to only be usable as a transparent B-to-G with the pi output cut off before it can even appear:
x = 26, y = 29, rule = LifeHistory15.B$10.7B6.2C$8.11B3.C2BC$8.8BC3B.BCBCB$8.7BCBC5BC2B$B6.7BC2BC6B$2B3.2B.7B2C5B$22B$23B$.22B$2.11B2C8B$4.10B2C6B$6.7B2C9B$6.7BC10B$6.17B2C$6.15B.B2C$6.14B3.B$6.16B$7.11B2.2C$9.8B3.C$9.7B5.3C$10.6B7.C$9.6B$9.6B$10.4B$8.2CB$7.C.CB$7.C$6.2C!

No known pi conduits are able to be hooked up, not even a Pi->G or the quick Pi->B turn that is useful when Pi outputs are uncomfortably close to the previous conduit's catalysts.

However, it might be able to restore this block and create a new B-to-H:
x = 34, y = 29, rule = LifeHistory14.B$9.7B6.2A$7.11B3.A2BA$7.8BA3B.BABAB$7.7BABA5BA2B$6.7BA2BA6B$B3.2B.7B2A5B$21B$22B$22B$.11B2C8B$3.10B2C6B$5.7B2C7B$5.7BC7B3.2B2.2B$5.25BD$5.16B2E7BDBD$5.16B2E7B3DB$5.27BD$6.25B$8.8B3.B.3B.B$8.7B$9.6B$8.6B$8.6B$9.4B$7.2AB$6.A.AB$6.A$5.2A!

EDIT: Also, I know that there's a simple and fast MWSS->H in the form of a syringe plus the tiny MWSS->G, but it seems like it may be possible to get one with a faster signal output (probably trading off for a higher repeat time) with this:
x = 13, y = 9, rule = LifeHistory.5C$C4.C$5.C$C3.C$2.C2$10.2C$9.C2.C$10.2C! Sphenocorona Posts: 480 Joined: April 9th, 2013, 11:03 pm ### Re: The Hunting of the New Herschel Conduits Sphenocorona wrote:EDIT: Also, I know that there's a simple and fast MWSS->H in the form of a syringe plus the tiny MWSS->G, but it seems like it may be possible to get one with a faster signal output (probably trading off for a higher repeat time) with this: Yeah, I was thinking along the same lines. To add, this would be a plus if the MWSS -> H is (semi-)spartan. Best wishes to you, Scorbie Scorbie Posts: 1381 Joined: December 7th, 2013, 1:05 am ### Re: The Hunting of the New Herschel Conduits Sigh...: x = 28, y = 22, rule = LifeHistory25.2A$8.A16.2A$A6.A.A$3A5.A$3.A$2.2A21.D.D$24.D$24.D$6.C10.D6.D2.D$6.2C10.D5.3D$5.2C11.2D$17.2D$17.D2$24.2A$18.2A4.A.A$18.2A5.2A2$22.2A$23.A$20.3A$20.A!
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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Aidan F. Pierce

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### Re: The Hunting of the New Herschel Conduits

Scorbie wrote:Conduits shooting forward gliders are not that common, and I think the only ones useable are the following:
x = 172, y = 72, rule = LifeHistory50.B$48.4B$47.6B$46.2B2C4B3.3B$45.2BC2BC3B.6B$44.4B2C9BA2B$28.B.B.B.B.B.B.B.16BABA$26.33B2A$24.5D31B$24.D4BD28B$24.D34B$25.D3BD29B$27.D.B.B.B.B.B.B.B.16B$45.14B$45.13B$42.14B$41.16B$40.18B$39.19B$38.20B$37.4B.16B$36.4B3.13B$35.4B4.5B2A2B$34.4B7.3B2A2B$33.4B8.8B$32.4B8.3B3D2B$31.4B9.4BD3B$30.4B10.2B3D2B$29.4B11.7B$28.4B13.6B$27.4B14.6B$26.4B16.5B102.4B$25.4B17.6B15.B86.4B$24.4B17.6B15.2B87.4B$23.4B18.7B6.A6.3B88.4B$22.4B14.2A4.6B4.3A5.4B89.4BD$21.4B16.A4.6B3.A7.4B91.2B3D$20.4B17.A.AB.6B3.2A5.4B93.2D2BD$19.4B19.2AB.11B4.4B93.6B$18.4B22.11B5.4B94.7B$17.4B24.11B3.4B94.8B$16.4B24.18B2.B2A91.8B$15.4B23.23B2AB90.8B$8.A5.4B11.A12.26B87.AB.9B$A6.A.A3.4B12.3A7.B.27B86.A.A11B$3A4.BA2B.4B16.A5.2A27B87.2A.11B$3.A4.2B.4B16.2A5.2A26B92.11B$2.2A2.3B.4B17.4B4.B.21B.2B83.2A8.4BD6B$2.12B5.7B.B5.3B6.20B87.A8.3B3D5B$4.10B5.13B.4B.4B.20B86.A.AB5.3BD7B$4.2BC10BD45B87.2AB.3B.10B$4.2B2C10BD21BD22B89.17B$4.B2C11B2D18B3D20B.B2A87.17B$4.13B2D2B2A15BDBD19B2.BA.A87.16B$5.12BD3B2A15BD21B5.A86.19B$6.22B3.2B2.26B4.2A83.21B$6.3B.B3.B2.10B11.22B88.22B2A$18.6B16.19B89.2BD17B.B2A$19.3B18.18B89.3BDBD4B.9B3.B$19.B20.17B91.2B3D4B2.6B$18.2A20.17B90.5BD4B2.6B.2B$18.A22.4B2.9B90.10B4.7B2A$19.A28.7B90.4B10.6B.B2A$18.2A28.7B90.3B12.6B.B$48.6B89.4B13.6B$48.6B89.2A15.5B$49.5B90.A15.4B$47.2AB.2B88.3A14.5B$46.A.AB91.A16.2A$46.A112.A$45.2A109.3A$156.A! I coudn't hook the first one an input and I didn't try to finish the second one. Here's an input for the first one (it's the first H->R plus an eater), although thanks to the Rx conduit it has a repeat time of 260: x = 100, y = 84, rule = LifeHistory55.3B6.4B$44.A9.3B2A4.4B$44.3A6.4B2A3.4B$47.A4.7B2.4B$46.2A4.6B2.4B$46.5B2.5B.4B$48.14B32.B$44.B2.14B31.2A2B$43.17B31.BABA2B$42.17B5.2A20.4B.2BA3B$41.18B5.A14.4B2.12B$39.20B2.BA.A14.5B.11B$38.22B.B2A14.18B$36.26B16.17B$33.29B16.19B$32.30B13.B2.20B$32.34B.B5.26B$33.62BC4B$31.43BDB2A16BCBC2B$31.2A.38B3DB2A16BCBC2B$32.A5.34BDBD20BC2B$29.3A7.33BD24B$29.A9.22B4.2B2.27B$38.21B.3B8.4B2.8B2.8B$38.20B3.2A14.8B2.7B$38.12B.7B3.A17.6B3.6B$38.13B.4B6.3A15.4B3.6B$39.7B3D2B2.2B9.A14.4B5.6B$43.4BD3B.B2AB22.4B5.6B$43.2B3D3B2.2A22.4B7.6B$44.6B26.4B7.6B$44.7B24.4B9.6B$44.8B22.4B9.6B$45.8B20.4B11.6B$45.8B19.4B11.6B$44.6B2.B2A16.4B13.6B$44.7B.BA.A14.4B13.6B$45.6B4.A13.4B15.6B$45.6B4.2A11.4B15.BDBD2B$45.6B16.4B17.3BD2B$44.8B14.4B17.D3BDB$43.8B14.4B19.3BDB$43.9B12.4B20.D2BD$43.9B11.4B22.3D$42.10B10.4B$42.3B2A5B9.4B$41.4B2A5B8.4B$41.11B7.4B$36.2A.A7BD4B6.4B$36.A.2A2.4B3DB7.4B$43.2B2D2BD6.4B$44.6B5.4B$44.6B4.4B$43.7B3.4B$44.12B$37.A6.11B$37.3A4.10B$4.E23.A11.A2.10B.B$3.2BE22.3A8.2A3.8B.2BA$3.3EB24.A7.15BA.A$4.4B10.A11.2A3.B5.7BD4B.BA$5.4B7.3A11.8B2.7B3D3B$6.4B5.A16.15BD4B$7.4B4.2A15.20B$2A6.9B14.19B.B2A$.A7.6B14.21B.BA.A$.A.2A5.6B3.B2.2B2.24B4.A$2.A2.A4.19BD14B4.4B2.2A$3.2AB3.20BDBD4B.6B7.2A$4.14B2A9B3D4B2.B.5B5.A$5.13B2A11BD4B7.2A6.3A$6.29B8.A9.A$6.17B.B.2B16.3A$7.15B4.3B17.A$7.15B5.A2B.2A$8.13B5.A.A2B.A$10.13B2.A.AB2.A$9.8B4.2A.A.A3.A$9.6B6.2ABA2.4A.A$9.5B8.B2.A.A3.A.A$9.B.B9.2A.2A2.A2.A.A$10.3B9.A.A2.2A3.A$9.B2AB9.A.A$10.2A11.A!

I think the idea is on the right track, though.
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M. I. Wright

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### Re: The Hunting of the New Herschel Conduits

M. I. Wright wrote:
Scorbie wrote:Conduits shooting forward gliders are not that common, and I think the only ones useable are the following...

Here's an input for the first one (it's the first H->R plus an eater), although thanks to the Rx conduit it has a repeat time of 260...
I think the idea is on the right track, though.

It's possible to cut that repeat time in half (to 130) using that L156 variant, though it adds a Snark so it's less Spartan:

x = 92, y = 92, rule = LifeHistory9$42.2D$41.D2.D$42.2D9.A$52.A.A$53.2A15$42.2A$42.2A2$41.3D$42.D$40.3D2$74.2A$74.A$76.A$56.2A14.5A$57.A13.A$57.A.A12.3A$58.2A15.A$72.4A$67.2A3.A3.2A$67.2A4.3A2.A$75.A.2A$75.A$74.2A2$40.2A$40.2A24.2A$66.A$31.2A.A7.D24.3A$31.A.2A6.3D25.A$40.2D2.D5$32.A$32.3A$23.A11.A$23.3A8.2A14.A$26.A22.A.A$25.2A16.D6.A$42.3D$42.D2$47.2A$47.A.A$49.A$24.C24.2A$24.C.C18.2A$24.3C18.A$26.C11.2A6.3A$38.A9.A$39.3A$41.A2$17.2A$18.A$15.3A$15.A! EDIT: I was hoping to pick up some alternate cleanup lanes for a glider, with a Spartan trick like this: x = 34, y = 48, rule = LifeHistory33.B$32.2B$21.2E8.3B$20.B2CB6.4B$19.4B6.C3B$20.2B6.C3B$20.3B4.B3C$12.2E5.5B2.4B$13.E4.6B.4B$13.E.EB.10B$14.ECB.9B$16.12B$16.12B$11.2E3.12B$12.E3.6B2C2B.BCE$12.E.E7BCBC2.BE.E$13.2E.7BCB5.E$18.6B6.2E$16.3B2D2B$15.4B2D2B$16.7B$16.2B2C4B3.3B$15.2BC2BC3B.6B$14.4B2C9BA2B$B.B.B.B.B.B.16BABA$29B2A$30B$28B$29B$29B$.B.B.B.B.B.B.16B$15.14B$15.13B$15.11B$14.13B$13.15B$12.16B$11.17B$12.16B$13.13B$13.5B2A2B$15.3B2A2B$15.8B$14.3B3D2B$14.4BD3B$14.2B3D2B$14.7B$15.6B!

Unfortunately it looks like that lane works fine without the G-to-block, and I don't see any other likely candidates for that mechanism.

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### Re: The Hunting of the New Herschel Conduits

It would be great if this reaction gave the best of both worlds, but alas, no:

x = 79, y = 32, rule = LifeHistory17.3D47.3D$18.D49.D$18.3D47.3D3$2.D49.D$.2BD47.2BD$.3DB46.3DB$2.4B46.4B$3.4B46.4B$4.4B46.4B$5.4B46.4B$6.4B7.2C37.4B7.2C$7.4B6.2C38.4B6.2C$8.4B46.4B$9.4B46.4B$10.4B11.2E33.4B$3D8.4B9.E.E34.4B9.2E$D.D9.3BA8.2E36.3BA8.2E$D.D10.3BA2.2C42.3BA2.2C$14.3A.C.C43.3A.C.C6.2C$19.C49.C7.2C7$14.2A$14.A$15.3A$17.A! A catalytic ship removes the bait boat while being restored. Using a sacrificial block instead allows it to survive, but it looks unlikely that the output Herschel can cheaply replace the block. Another finger-snapping "almost" moment. Oh well, at least it makes a W-to-H. Tanner Jacobi Kazyan Posts: 860 Joined: February 6th, 2014, 11:02 pm ### Re: The Hunting of the New Herschel Conduits Scorbie wrote:@Calcyman I guess that's about the best we could get with Hersrch? How about using Simkin's B-to-B to turn the B upwards closer and faster?After all, the hive is symmetrical... I tried a few options that Hersrch doesn't know about, in hopes of a lucky connection, but nothing worked out very well. Here are some examples: x = 298, y = 317, rule = LifeHistory92.A$92.3A$95.A23.2A$94.2A23.A$94.4B18.BA.A$75.A20.3B14.2A.B2A$12.B43.2A17.3A12.B.3B.4B12.B2A2B$12.2B43.A20.A10.18B6.4B$12.3B24.2B15.A20.2A3.B5.2B2A11BD4B3.6B$12.4B22.4B14.2A19.8B3.2B2A9B3D4B2.6B$13.4B21.4B15.B21.8B.13BDBD4B.7B$14.4B16.B2.6B14.3B19.22BD15B$15.4B14.2AB.2B2A2B13.6B16.15B.2B2.20B$16.4B13.2A3BA2BA3B.B8.10B11.17B8.18B$17.4B13.2B.2B2A7B3.2B2.11B3.2B2.19B11.16B$18.3BA15.18BD3B2A15BD15B12.14B$19.ABAB15.17B2D2B2A15BDBD4B.7B12.16B$20.2A2B14.18B2D18B3D13B11.14B.B2A$21.4B13.18BD21BD14B8.2AB.3B3.6B.BA.A$22.4B11.18BD26B2.8B8.A.AB7.6B4.A$23.4B8.B.13B2.B4.13B.4B11.6B8.A9.7B4.2A$24.4B6.2AB.12B7.7B.B5.3B12.5B8.2A4.2A2.8B$25.4B5.2A4BD9B19.4B14.4B13.A.A12B$26.4B5.2B.B3D7B20.2A16.4B13.A3.11B$27.4B7.D2B2D6B21.A17.B.B2A10.2A3.4B2A5B$28.4B6.10B19.3A20.BA.A15.3B2A5B$29.4B5.6B23.A25.A15.10B$30.4B4.7B48.2A15.9B$31.4B.8B66.9B$32.12B66.8B$33.11B.BA64.8B$34.11BA.A64.6B$34.11B.2A64.6B4.2A$33.12B67.6B4.A$33.12B66.7B.BA.A$33.5B2A5B2.3B61.6B2.B2A$33.4BA2BA3B.6B54.A6.8B$34.4B2A9BA2B53.3A4.8B$4.B.B.B.B.B.B.B.B.B.B.B.B.B.B.16BABA57.A2.8B$3.46B2A56.2A2.7B$3.47B57.10B$3.45B61.3B3D2B$3.46B60.5BD2B$3.46B57.2B.4B3DB$3.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.16B55.13B$35.14B55.13B$35.13B55.14B23.2A$35.11B58.14B22.A$34.13B56.10B2.4B18.BA.A$33.15B53.B.11B2.4B14.2A.B2A$32.16B52.2A14B.4B12.B2A2B$31.17B52.2A26B6.4B$32.16B53.23BA4B3.6B$33.13B55.21B3A4B2.6B$33.5B2A2B63.17BA6B.7B$35.3B2A2B63.2A15BA15B$35.9B58.B.B2A6B2.2B2.20B$34.3B3D2B59.2A8B11.18B$34.4BD3B59.2AB.4B15.16B$34.2B3D2B.B59.B3.2B17.14B$34.7B66.2B15.16B$35.6B65.B2AB14.14B.B2A$35.7B65.2A13.2AB.3B3.6B.BA.A$36.7B78.A.AB7.6B4.A$36.7B78.A9.7B4.2A$35.8B77.2A4.2A2.8B$35.8B82.A.A12B$34.9B82.A3.11B$26.A7.8B82.2A3.4B2A5B$26.3A6.7B88.3B2A5B$29.A4.9B8.2A77.10B$28.2A3.11B7.A79.9B$28.3B.13B3.BA.A79.9B$30.17B.B2A80.8B$28.21B83.8B$27.22B84.6B$25.2B.21B84.6B$24.2A22B85.6B$24.2A22B84.7B$25.2B.20B84.6B$27.21B85.6B$27.22B84.5B$26.22B84.6B$25.23B.A82.6B$23.24B.A.A80.7B$22.24B3.A81.2B3A2B8.A$23.21B87.4BA3B5.3A$24.11B3D6B87.4B2A2B4.A$24.11BDBD6B88.8B3.2A$22.4B.8BDBD6B2A86.3B2A2B2.4B$22.2A3.17BA.A83.5B2A2B.3B$23.A3.15B4.A83.13B$20.3A5.13B5.2A81.16B$20.A9.12B86.17B132.2A$30.12B37.A9.A15.A23.16B131.B2A2B3.2A$32.10B7.2A28.3A5.3A13.3A11.2A11.15B132.4B2.B2AB$23.2A6.10B8.A15.A16.A3.A15.A14.A.A11.13B60.B43.2A23.B.6B3.2B$23.A5.11B6.BA.A15.3A13.2A.B.2A14.2A15.A12.11B8.A52.2B43.A21.10B2.2B$24.3A.2A11B.3B.B2A19.A12.7B12.4B15.2A7.15B6.3A52.3B24.2B15.A14.2A6.11B2A2B$26.AB2A17B20.2A14.3B13.3B5.B.7B4.B4.20B3.A55.4B22.4B14.2A14.A5.12B2A3B.B$28.19B20.B13.6B11.4B.13B4.25B3.2A55.4B21.4B15.B14.A.AB2.18B2A$27.19B19.3B9.2B2.6B4.59B56.4B16.B2.6B14.3B13.2AB3.15B.B2A$27.20B16.6B7.4B.7B2.4BD53B59.4B14.2AB.2B2A2B13.6B13.18B3.B$29.20B11.10B2.16B2.4B3D53B58.4B13.2A3BA2BA3B.B8.10B10.18B$30.22B2.2B3.30B.4BDBD15B2A37B58.4B13.2B.2B2A7B3.2B2.11B3.2B2.19B$27.B.19BA15B2A30BD15B2A37B59.3BA15.18BD3B2A15BD15B$26.2A13B.4BDBA15B2A34B2.2B3.44B60.ABAB15.17B2D2B2A15BDBD4B.7B$26.2A12B2.4B3A48B11.10B2.29B.B2A59.2A2B14.18B2D18B3D4B2.6B$27.B.11B2.4BA48B16.6B4.8B.19B.BA.A59.4B13.18BD21BD5B.7B$31.9B3.51B19.3B9.23B5.A60.4B11.18BD29B.6B$32.B.6B10.4B.13B3.B.22B20.B11.13B.7B5.2A60.4B8.B.13B2.B4.13B.4B7.9B$34.5B12.3B5.B.7B7.11B2.7B20.2A11.3B4.4B.3B.3B69.4B6.2AB.12B7.7B.B5.3B9.8B$35.4B13.4B20.3B.4B6.3B.B2A19.A12.4B4.B3.3B2.2B69.4B5.2A4BD9B19.4B11.8B$33.5B16.2A19.A4.2B2AB9.BA.A15.3A15.2A7.B2AB.B2AB69.4B5.2B.B3D7B20.2A14.7B8.A$33.2A19.A18.3A6.2A13.A15.A17.A9.2A3.2A71.4B7.D2B2D6B21.A15.6B6.3A$34.A20.3A14.A24.2A33.3A85.4B6.10B19.3A16.7B4.A$31.3A23.A14.2A60.A86.4B5.6B23.A18.7B4.2A$31.A190.4B4.7B41.8B.4B$223.4B.8B42.11B$224.12B42.12B$225.11B.BA39.12B$226.11BA.A39.11B$226.11B.2A31.2A9.7B$225.12B35.A8.8B$225.12B35.A.AB3.9B$225.5B2A5B2.3B31.2AB.11B$225.4BA2BA3B.6B32.14B$226.4B2A9BA2B30.15B.B$202.B.B.B.B.B.B.B.B.B.B.B.16BABA32.15B2A$201.40B2A30.2AB.13B2A$201.41B30.A.AB.14B$201.39B32.A7.11B$201.40B30.2A6.10B$201.40B37.12B$201.B.B.B.B.B.B.B.B.B.B.B.B.16B37.12B$227.14B38.11B$227.13B40.9B.2A$227.11B42.8B3.A$226.13B41.8B3.A.A$225.15B40.7B5.2A$224.16B41.7B$223.17B41.6B$224.16B40.7B$225.13B37.2A2.8B$225.5B2A2B40.A.A12B$227.3B2A2B40.A3.11B$34.A192.9B37.2A3.4B2A5B$34.3A189.3B3D2B45.3B2A5B$37.A188.4BD3B14.2A29.10B$36.2A188.2B3D2B.B12.B2AB29.9B$31.2A3.5B185.7B14.3B30.9B$32.A5.4B185.6B12.2B.B31.8B$32.A.AB.6B184.6B11.7B30.8B$33.2AB.9B2.4B176.5B11.7B.3B27.6B$35.17B176.6B.B2.17B27.6B4.2A$35.16B2A174.27B2A26.6B4.A$35.16B2A174.27B2A25.7B.BA.A$36.14B.B176.25B.B26.6B2.B2A$37.12B176.2B.25B29.8B$38.11B175.2A4B2A20B30.8B$37.10B177.2AB.2B2A6B3.B.9B29.8B$37.10B178.B2.5B2.B9.8B19.A8.7B$36.11B180.6B13.7B19.3A6.6B$37.11B179.4B12.11B21.A4.2B3D2B$37.11B179.2B2AB10.12B20.2A4.4BD2B$37.11B177.2AB.2A11.12B20.4B.4B3DB$35.2AB2.4B3D2B175.A.AB14.11B23.11B$34.A.AB3.4BD4B174.A17.B3D4B.4B20.12B$34.A6.2B3D5B172.2A17.2BD4B4.2A20.12B$33.2A7.10B190.2B3D2B4.A21.11B$42.11B189.6B6.3A19.7B9.2A$42.12B187.7B8.A19.8B8.A$43.12B185.8B29.9B3.BA.A$43.13B183.8B30.11B.B2A$42.6B.8B182.8B29.14B$42.7B.8B179.2AB2.6B26.B.15B$26.2A15.6B2.8B177.A.AB.7B25.2A15B$27.A8.B4.8B3.8B176.A4.6B26.2A13B.B2A$27.A.AB3.4B.6B2AB5.8B174.2A4.6B27.14B.BA.A$28.2AB.13B2A2B5.8B179.6B27.11B7.A$30.18B7.8B177.8B28.10B6.2A$30.17B9.8B177.8B26.12B$31.13B13.8B175.9B26.12B$33.12B13.8B174.9B26.11B$35.10B14.8B173.10B23.2A.9B$35.11B14.8B172.5B2A3B23.A3.8B$36.2B.7B15.8B171.5B2A4B3.2A15.A.A3.8B$36.11B15.8B170.11B3.A16.2A5.7B$35.11B17.8B169.12BA.A22.7B$35.11B18.8B170.8B2.2A24.6B$35.11B19.8B169.7B29.7B$35.B3D4B2.B2A18.8B168.5B31.8B2.2A$35.2BD4B3.BA.A18.8B159.2A5.6B29.12BA.A$35.2B3D2B6.A19.8B159.A6.6B28.11B3.A$35.6B7.2A19.8B158.A.AB2.8B27.5B2A4B3.2A$34.7B29.8B158.2AB2.9B26.5B2A3B$9.B23.8B30.8B159.12B26.10B$9.2B21.8B32.8B158.12B26.9B$9.3B20.8B33.8B157.10B.B2A24.9B$9.4B17.2AB2.6B33.8B157.8B2.BA.A24.8B$10.4B15.A.AB.7B34.8B155.8B6.A23.8B$11.4B14.A2B2.6B36.8B155.8B5.2A23.6B$12.4B12.2AB3.6B37.8B155.7B24.2A4.6B$13.4B12.B4.6B38.8B151.11B24.A4.6B$14.4B15.8B38.8B149.12B24.A.AB.7B$15.3BA15.8B38.8B148.12B25.2AB2.6B$16.ABAB13.9B39.8B147.11B28.8B$17.2A2B12.9B40.8B146.B3D4B.4B26.8B$18.4B11.10B40.8B145.2BD4B4.2A27.8B$19.4B10.5B2A3B41.8B144.2B3D2B4.A29.7B$20.4B9.5B2A4B41.8B143.6B6.3A27.6B7.2A$21.4B8.11B42.8B141.7B8.A27.2B3D2B6.A$22.4B7.4BD7BA.2A38.8B139.8B36.2BD4B3.BA.A$23.4B8.B3D4B2.2A.A39.8B137.8B37.B3D4B2.B2A$24.4B7.D2B2D2B47.8B136.8B37.11B$25.4B6.7B48.8B133.2AB2.6B36.11B$26.4B5.6B50.8B131.A.AB.7B36.11B$27.4B4.7B50.8B130.A4.6B38.11B$28.4B.8B52.8B128.2A4.6B38.2B.7B$29.12B53.8B133.6B37.11B$30.11B.BA51.8B131.8B36.10B$31.11BA.A51.8B131.8B33.12B$31.11B.2A52.8B129.9B31.13B$30.12B56.8B128.9B30.17B$30.12B57.8B127.10B30.17B$30.5B2A5B2.3B53.8B126.5B2A3B28.16B2A3B$30.4BA2BA3B.6B53.8B125.5B2A4B3.2A22.2A3.4B.6B2A2B$31.4B2A9BA2B53.8B124.11B3.A24.A5.B4.8B4.2A$.B.B.B.B.B.B.B.B.B.B.B.B.B.B.16BABA55.8B123.12BA.A21.3A13.6B4.A$46B2A56.8B124.8B2.2A22.A14.7B.BA.A$47B58.8B117.2A4.7B42.6B2.B2A$45B61.8B117.A4.6B44.8B$46B61.8B116.A.AB.6B44.8B$46B62.8B116.2AB.7B42.8B$B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.16B63.8B117.8B34.A8.7B$32.14B64.8B117.7B6.A27.3A6.6B$32.13B66.8B116.7B4.3A30.A4.2B3D2B$32.11B69.8B111.B4.7B2.A11.A20.2A4.4BD2B$31.13B69.8B109.A2B.B.6B3.2A8.3A15.A4.4B.4B3DB$30.15B69.8B107.A.A15B7.A18.3A4.11B$29.16B70.8B107.AB.12B5.B3.2A20.A2.12B$28.17B71.8B109.13B2.8B19.2A2.12B$29.16B72.8B108.21B21.B3.11B$30.13B44.2A29.8B108.20B19.3B4.7B$30.5B2A2B41.2A3.2B2AB29.8B16.B2AB89.19B16.6B3.8B$32.3B2A2B40.B2AB2.4B31.8B7.2A7.AB90.21B11.10B2.9B$32.9B39.2B3.6B.B23.2A3.8B5.B2AB3.BABA91.24B2.2B3.23B$31.3BD4B42.2B2.10B21.A5.8B4.3B3.2B2A90.2AB5.14BD15B2A16B.B$31.8B14.2A25.2B2A11B6.2A14.A5.8B4.B2.5B90.A.AB6.6B.4BDBD15B2A17B2A$31.7B.B12.B2AB21.B.3B2A12B5.A14.2A6.8B.9B91.A7.5B.B2.4B3D34B2A$31.7B14.3B21.2A18B2.BA.A14.B8.16B.3B87.2A7.2A7.4BD37B$32.6B12.2B.B22.2AB.15B3.B2A13.3B9.19B97.A8.36B2.5B$32.6B11.7B21.B3.18B13.6B9.21B3.B87.3A16.4B.13B5.5B6.2A$33.5B11.7B.3B21.18B10.11B.B3.B.22B.B2A86.A19.3B5.B.7B3.3B.2B7.A$33.6B.B2.17B22.19B2.2B3.43B2A107.4B15.2A12.3A$32.27B2A21.31B2A3BD31B.B110.2A16.A14.A$32.27B2A22.7B.4BD17B2A2B2D21B2A7B113.A14.3A$33.25B.B23.6B2.25B2D11B2D9B2A4B.B115.3A11.A$30.2B.25B24.7B.27BD10B2C14B121.A$29.2A4B2A20B25.6B.29BD9BAC2B2A7B3.A$29.2AB.2B2A6B3.B.9B26.9B7.4B.13B5.3B2.5B2A5B5.3A$30.B2.5B2.B9.8B25.8B9.3B5.B.7B3.3B3.13B8.A$32.6B13.7B24.8B11.4B15.2A5.4B.5B9.2A$32.4B12.11B23.7B14.2A16.A4.2B4.2B2AB$32.2B2AB10.12B14.2A7.6B15.A14.3A4.2BAB5.2A$30.2AB.2A11.12B15.A6.7B16.3A11.A7.A.A$29.A.AB14.11B16.A.AB3.7B18.A20.A$29.A17.8B.4B15.2AB2.8B$28.2A17.7B4.2A17.11B$47.7B4.A18.11B$47.6B6.3A15.11B$46.7B8.A14.11B$45.8B24.7B.2B$44.8B25.11B$44.8B26.10B$42.2AB2.6B25.12B$41.A.AB.7B14.A11.13B$41.A4.6B13.3A8.17B$40.2A4.8B4.B5.A10.17B$47.B2A6B.4B3.2A8.2B2A16B$46.2B2A16B9.B2A6B.4B3.2A$47.17B4.2A4.8B4.B5.A$48.17B4.A4.6B13.3A$51.13B5.A.AB.7B14.A$50.12B8.2AB2.6B$50.10B12.8B6.A$49.11B12.8B4.3A$49.7B.2B14.8B2.A$48.11B15.7B2.2A$49.11B15.10B$49.11B15.8B$49.11B15.8B$47.2AB2.8B15.8B.2B$46.A.AB3.7B15.13B$46.A6.7B15.13B$45.2A7.6B15.14B$54.7B13.14B$54.8B11.4B2.10B$55.8B9.4B2.11B.B$55.9B7.4B.14B2A$54.6B.29B2A$54.7B.29B$55.6B2.28B$55.7B.24B$54.31B2A$54.19B2.2B2.6B2AB.B$53.18B10.8B2A$49.B3.18B12.4B.B2A$48.2AB.15B3.B2A11.2B3.B$48.2A18B2.BA.A9.2B$49.B.3B2A12B5.A8.B2AB$52.2B2A11B6.2A8.2A$53.2B2.10B$52.2B3.6B.B$51.B2AB2.4B$52.2A3.2B2AB$59.2A! So far Calcyman's is still the only Spartan connection that needs less than 1000 ticks to recover -- 958 to be specific. I suspect there's a slightly faster circuit out there using known Spartan conduits, but it will be hard to find without a new Elemsrch search program. It's tricky to teach Hersrch about the new B-to-B, for example -- it assumes that every connection starts and ends with an H, so you have to register a lot of new composite conduits. dvgrn Moderator Posts: 5830 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: The Hunting of the New Herschel Conduits dvgrn wrote:So far Calcyman's is still the only Spartan connection that needs less than 1000 ticks to recover -- 958 to be specific. I posted a spartan one of repeat time 497 and an almost-spartan one with repeat time 157: viewtopic.php?f=2&t=1599&start=625#p23910 Best wishes to you, Scorbie Scorbie Posts: 1381 Joined: December 7th, 2013, 1:05 am ### Re: The Hunting of the New Herschel Conduits Scorbie wrote: dvgrn wrote:So far Calcyman's is still the only Spartan connection that needs less than 1000 ticks to recover -- 958 to be specific. I posted a spartan one of repeat time 497 and an almost-spartan one with repeat time 157: http://conwaylife.com/forums/viewtopic. ... 625#p23910 Right -- sorry, that was muddy thinking on my part. I should have said something like "the only Spartan connection that Hersrch can find" -- i.e., using the leftover beehive as a bait instead of just shooting it down. The Spartan Silver-reflector G-to-M can be simplified a little at the cost of letting the repeat time drift up to 575: x = 118, y = 119, rule = LifeHistory39.3D$38.D2BD$38.3BDB$37.D3BDB$38.3BD2B$37.BDBD2B$38.6B$37.6B$38.6B$37.6B$38.6B$37.6B$38.6B$37.6B$38.6B$7.2A28.6B$6.B2AB28.6B$7.2B21.B6.6B$2.B3.2B21.3B6.6B$.2AB.4B18.6B4.7B$.2A8B10.4B2.7B3.8B$2.B.B2A6B2.2B2.27B$5.2A15BD24B$5.17BDBD20BC2B$.21B3DB2A16BCBC2B$.23BDB2A16BCBC2B$2A43BC4B$2A14B.B5.26B$.B.11B11.B2.20B$3.10B15.19B$4.12B12.17B$3.14B11.18B$4.13B12.5B.11B$4.13B12.4B2.12B12.E$6.2B.4B3DB18.5B.2BA3B12.3E$10.4BD2B17.4B3.BABA2B15.E22.E$10.2B3D2B16.4B5.2A2B15.2E20.3E11.E$11.6B15.4B8.B16.4B17.E14.3E$11.7B13.4B28.3B16.2E16.E14.E$11.8B11.4B28.4B14.4B15.2E12.3E$12.8B9.4B19.E9.5B12.4B4.B.7B3.3B.2B7.E$12.9B7.4B.3B.B12.3E8.6B11.4B.13B5.5B6.2E$11.6B.21B10.E11.8B2.36B2.5B$11.7B.5BD11B2E2B5.B3.2E9.52B$12.6B2.4B3D9B2E2B3.8B10.50B2E$12.7B.4BDBD13B.8B13.7B.22B2E17B2E$11.15BD22B12.31B2E16B.B$11.19B2.2B.15B11.19B2.2B3.23B$10.18B7.17B8.17B11.10B2.9B$6.B3.18B8.16B.2B2.2B.15B16.6B3.8B$5.2AB.15B3.B2A6.38B19.3B4.7B$5.2A18B2.BA.A6.7B.20B.8B21.B3.11B$6.B.3B2A12B5.A5.25B2E2B3.8B19.2E2.12B$9.2B2A11B6.2A3.26B2E2B5.B3.2E20.E2.12B$10.2B2.10B12.8B2.18B10.E18.3E4.11B$9.2B3.6B.B14.6B11.4B.3B.B12.3E15.E4.4B.8B$8.B2AB2.4B19.5B12.4B19.E20.2E4.7B$9.2A3.2B2AB18.4B14.4B40.E4.7B$16.2A20.3B15.4B36.3E6.6B$36.4B17.4B35.E8.7B$36.2E20.4B43.8B$37.E21.4B43.8B$34.3E23.4B42.8B$34.E26.4B40.6B2.B2E$62.4B39.7B.BE.E$63.4B22.2E15.6B4.E$64.4B22.E8.B4.8B4.2E$65.4B21.E.EB3.4B.6B2EB$66.4B21.2EB.13B2E2B$67.4B22.18B$68.4B21.17B$69.4B21.13B$70.4B22.12B$71.4B23.10B$72.4B22.11B$73.4B22.2B.7B$74.4B21.11B$75.4B19.11B$76.4B18.11B$77.4B17.11B$78.4B16.8B2.B2E$79.4B15.7B3.BE.E$80.4B14.7B6.E$81.4B13.6B7.2E$82.4B11.7B$83.4B9.8B$84.4B7.8B$85.4B5.9B$86.4B3.4B.6B$87.4B.4B.7B$88.7B2.6B$89.5B3.6B$89.5B4.B2E2B$89.6B2.2B2E3B$87.2EB2.4B.7B$86.E.EB3.4B.5B$86.E7.9B$85.2E8.8B$96.7B$97.6B7.2E$89.2E5.7B7.E$90.E6.7B3.BE.E$90.E.EB.11B.B2E$91.2EB.2BE10B$93.3BEBE10B$93.3BEBE9B$95.2BE8B.B2E$97.8B2.BE.E$97.3B2.4B4.E$95.5B3.4B3.2E$95.2EB6.4B$96.E8.4B$93.3E10.4B$93.E13.4B$108.4B$109.4B$110.2B2C$111.BC.C$112.C! Still seems like there's a bigger improvement lurking out there somewhere -- guess I'll finally have to get all the recently-discovered Spartan circuits a little better organized. dvgrn Moderator Posts: 5830 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: The Hunting of the New Herschel Conduits Here's mine, with repeat time 157 (EDIT: It's slightly different from Scorbie's 157-tick G-to-MWSS) x = 144, y = 93, rule = LifeHistory.E$2BE$3EB$.4B$2.4B$3.4B$4.4B$5.4B$6.4B$7.4B$8.4B$9.4B$10.4B$11.4B$12.4B$13.4B$14.4B$15.4B$16.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$23.4B$24.4B7.A$25.4B6.3A$26.4B8.A$27.4B6.A.A62.3D$28.4B5.A.AB60.D2BD$29.4B5.A3B59.3BDB$30.4B6.4B56.D3BDB$31.4B5.6B55.3BD2B$32.4B4.7B53.BDBD2B$33.4B2.8B.4B.B47.6B$34.17B.B2A45.6B$35.18B2A46.6B$35.16B.2B46.6B$30.2A2.17B50.6B$30.A2.A5BEBE8B50.6B$32.2A.5B2E7B52.6B$37.3BE8B51.6B$38.10B53.6B28.2A$38.2B2A6B52.6B28.B2AB$37.3B2A6B53.6B6.B21.2B$38.10B52.6B6.3B21.2B3.B$38.8B.B2A.A48.7B4.6B18.4B.B2A$37.7B3.B2AB3A45.8B3.7B2.4B10.8B2A$37.6B6.B4.A43.27B2.2B2.6B2AB.B$38.6B4.2A.2A.A42.24BD15B2A$38.5B6.A.A.A42.2BA20BDBD17B$37.6B6.A45.2BABA16B2AB3D21B$37.6B5.2A45.2BABA16B2ABD23B$36.7B51.4BA43B2A$36.2B3D2B8.2A42.26B5.B.14B2A$36.4BD3B7.A44.20B2.B11.11B.B$36.3B3D2B4.BA.A45.19B15.10B$37.8B3.B2A48.17B12.12B$37.3B2A2B2.3B49.18B11.14B$35.5B2A2B.4B49.11B.5B12.13B$35.13B49.12B2.4B12.13B$34.16B47.3BA2B.5B18.B3D4B.2B$33.17B47.2BABAB3.4B17.2BD4B$34.16B48.2B2A5.4B16.2B3D2B$35.15B49.B8.4B15.6B$36.13B60.4B13.7B$37.15B58.4B11.8B$33.20B38.A19.4B9.8B$31.23B16.2A19.3A12.B.3B.4B7.9B$28.27B3.2A10.A.A21.A10.21B.6B$28.27B2.B2AB11.A20.2A3.B5.2B2A11BD5B.7B$28.28B.4B11.2A19.8B3.2B2A9B3D4B2.6B$29.28B.2B13.B21.8B.13BDBD4B.7B$26.B2.33B11.3B19.22BD15B$25.2AB.33B2.B7.6B16.15B.2B2.19B$25.2A41B3.10B11.17B7.18B$26.6B2.36B.11B3.2B2.19B8.18B3.B$26.5B5.35BD3B2A15BD15B6.2AB3.15B.B2A$28.B5.37B2D2B2A15BDBD4B.7B6.A.AB2.18B2A$34.2A3.33B2D18B3D13B5.A5.12B2A3B.B$35.A4.32BD21BD14B3.2A6.11B2A2B$32.3A6.30BD26B2.8B12.10B2.2B$32.A9.22B.B2.B4.13B.4B11.6B14.B.6B3.2B$43.23B7.7B.B4.4B12.5B19.4B2.B2AB$45.21B19.4B14.4B18.B2A2B3.2A$45.21B18.4B15.3B20.2A$45.19B.B2A15.4B17.4B$45.18B2.BA.A13.4B20.2A$43.2AB.16B5.A12.4B21.A$42.A.AB.16B5.2A10.4B23.3A$42.A6.15B15.4B26.A$41.2A12.9B14.4B! I consider it spartan, but if eater2s don't count, at least they're not horribly hard to construct, now that 4-SL seeds exist. gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the New Herschel Conduits Is there any way to get the glider and R here?: x = 19, y = 13, rule = LifeHistory11.2A$10.B2A2B$.BC8.4B$CBCB6.5B$.2C2B3.6B$2.4B.7B$3.11B$4.10B.2B$5.11BDBD$5.7BC2BD3B$6.5B3CBD3B$6.5BC3BD2BD$10.5B3D! Edit: A new R-to-G: x = 51, y = 48, rule = LifeHistory33.2A6.4B$33.A6.4B$30.BA.A5.4B$27.B.BA.A5.4B$26.2A3BA5.4B$26.2AB.3B3.4B$27.B3.2B2.4B$30.8B$29.8B$28.4B.4B$27.4B2.5B$26.4B5.4B$25.4B7.6B$24.4B7.8B$23.4B8.9B$22.4B8.11B$21.4B8.11B5.2A$20.4B8.12B5.A$19.4B9.11B3.BA.A$18.4B9.14B.B2A$17.4B9.17B$16.4B8.19B$15.4B8.20B$8.A5.4B4.B2.21B$A6.A.A3.4B4.3B.22B$3A4.BA2B.4B5.26B$3.A4.2B.4B6.28B$2.2A2.3B.4B6.30B$2.12B6.29B$4.10B4.30B$4.2BC41B$4.2B2C34B.4B$4.B2C34B2.3B$4.37B4.AB$5.36B3.A.A$6.35B3.2A$6.3B.B3.B2.24B$20.2B2A18B$22.2A2B4.2B.8B$24.B9.6B$33.7B$33.6B$33.8B$31.5B3.2A$31.2AB5.A$32.A7.3A$29.3A10.A$29.A!

Edit 2: A W-to-D that doesn't have any input as far as I know:
x = 16, y = 16, rule = LifeHistoryC$3C5.2C$3.C4.C$2.C2.BC.C$.C.2BC.C$.2C.2BC$5.3B6.2C$6.2B6.C$2.D.5B2.BC.C$.DBD6B.B2C$D2BD8B$DBD3B2C4B$2D3BCBC4B$.3B2C6B$3.9B$5.B.4B! Edit 3: And an associated useless W-to-H': x = 21, y = 20, rule = LifeHistory5.C$5.3C5.2C$8.C4.C$7.C2.BC.C$6.C.2BC.C$6.2C.2BC$2C8.3B6.2C$.C9.2B6.C$.C.CB.2B.5B2.BC.C$2.2CB.3B2D4B.B2C$4.5BDBD5B$4.7B2C4B$4.6BCDC4B$5.4B2C5B$5.10B$7.B2.B.B.3B$15.2C$15.C$16.3C$18.C!
Last edited by A for awesome on October 19th, 2015, 8:42 pm, edited 2 times in total.
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: 1880
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: The Hunting of the New Herschel Conduits

A for awesome wrote:Is there any way to get the glider and R here?...

Sure, there's always a way. Without a lot of luck, it will end up bigger than the existing H-to-LWSS, because you have to synchronize a glider instead of just pre-setting a block.

Unfortunately, even though the one-chance-in-sixteen improbably lined up perfectly on the first connection I tried, we're not quite that lucky. There's no room to adjust the Snarks:

#C New Improved Fx176 conduit -- With Added Spaceships!x = 164, y = 152, rule = LifeHistory161.C$161.C.C$161.2C$159.A61$47.2A$47.A.A$49.A4.2A$45.4A.2A2.A2.A$45.A2.A.A.A.A.2A$48.A.A.A.A$49.2A.A.A$53.A2$39.2A$40.A7.2A$40.A.A5.2A$41.2A4$72.A$70.3A$69.A$51.2A16.2A$51.A$52.3A$54.A22.2A$78.A$78.A.2A$70.2A4.3A2.A$70.2A3.A3.2A$75.4A$61.2A15.A$60.A.A12.3A$60.A13.A$59.2A14.5A$79.A$77.A$77.2A2$44.2A$44.2A6$57.2D8.2A$58.2D7.2A$58.D2$3.2A51.4D$4.A51.D3.D$2.A53.D$2.5A14.2A4.2A28.D2.D$7.A13.A4.A.A$4.3A12.A.A4.A$3.A15.2A4.2A32.2A3.A$3.4A52.2A2.A.A$.2A3.A3.2A51.A.A$A2.3A4.2A22.2A26.2A.3A$2A.A31.A32.A$3.A31.A.A24.2A.3A$3.2A23.2A6.2A24.2A.A$28.2A2$11.2A$12.A$9.3A$9.A4.2A$15.A$15.A.A$16.2A$39.3D$41.D$39.3D4$16.C$16.C.C31.2A11.D$16.3C26.2D3.2A9.3D$18.C27.D14.D.D$44.2D15.D$28.2A8.2A4.D27.A$28.2A2.2A5.A31.A.A$32.A.A.3A32.A.A$9.2A23.A.A35.A$10.A23.2A4.2A$7.3A29.A.A4.2A$7.A31.A6.2A$38.2A!

A for awesome wrote:Edit: A new R-to-G...

Wow! The timing on those two gliders really takes the prize for serendipitous synchronization. Who knows when it will actually end up being useful, but it's definitely one for the collection anyway.

dvgrn
Moderator

Posts: 5830
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the New Herschel Conduits

Q-to-W:

x = 31, y = 29, rule = LifeHistory24.A$12.2A9.A.A$11.B2AB8.A.A$5.A6.3B7.2A.3A$4.A.A6.B9.B4.A$3.2BA2B2.7B4.B2AB3A$4.16B.B2A.A$4.18B$5.17B$6.15B$6.17B$7.17B$7.6BC11B$8.4B3C10B$8.3B5C8B$8.2B2C3B2C10B$9.19B$2.2D4.20B$.DBD24B$2D25B$28B$29B$31B$31B$2.29B$3.B4.4B.17B$9.2B8.9B$22.5B$23.3B!
Tanner Jacobi

Kazyan

Posts: 860
Joined: February 6th, 2014, 11:02 pm

### Re: The Hunting of the New Herschel Conduits

You might not have noticed, but Kazyan that reply you made (the one above this) is the 666th one on this thread.

There was some chatter regarding the possibility of reducing some glider guns with the new mechanism, but to be honest that isn't going to happen.
Last edited by Freywa on October 20th, 2015, 10:46 am, edited 2 times in total.
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: The Hunting of the New Herschel Conduits

Slightly off-topic, but the weld for the Fx158 can be reduced by 4 in population:

x = 81, y = 45, rule = B3/S238bobobo4bobobo41bobobo4bo3bo2$12bo4bo3bo45bo4bo3bo2$12bo4bo3bo45bo4bobobo2$12bo4bo3bo45bo8bo2$12bo4bobobo45bo8bo4$19b2o$19b2o12bo31bo4b2o8bo$31b3o30bobo2bobo6b3o$19b4o7bo32bo2b4o7bo$16bobo4bo6b2o31bobo4bo6b2o$14b3ob2o2b2o37b3ob2o2b2o$13bo46bo$10bo2b4ob2o37bo2b4ob2o$10b3o3bob2o37b3o3bob2o$13bo46bo$12b2o45b2o11$9bo46bo$9bobo44bobo$9b3o44b3o$11bo46bo2$24b2o45b2o$18b2o4bobo38b2o4bobo$19bo6bo39bo6bo$2b2o12b3o7b2o21b2o12b3o7b2o$3bo12bo33bo12bo$3o44b3o$o46bo!

I'm not sure how easy it would be to slow-salvo construct either of the two forms, however.

gmc_nxtman

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

### Re: The Hunting of the New Herschel Conduits

I think conduits are optimized by bounding box... Although I am not sure if bounding box is more important than simplicity of catalysts... (Bounding box of each is only important when the relevant part is on the edge)
Best wishes to you, Scorbie

Scorbie

Posts: 1381
Joined: December 7th, 2013, 1:05 am

### Re: The Hunting of the New Herschel Conduits

A new H-to-G with timing NW17T90, which is a known lane and mod-8 timing. It is however smaller and faster than the previous NW17T130, although not very spartan. It seems to be the smallest H-to-G so far with a NW glider:

x = 24, y = 24, rule = LifeHistory14.2C$C13.2C$3C$3.C$2.2C$23.C$21.3C$20.C$21.C$20.2C$19.C$.E17.5C$.E.E19.C$.3E15.2C$3.E16.C$20.C.C$21.2C2$14.C$11.C.C.C2.C$9.3C.C.4C$8.C5.C$8.2C6.C$15.2C!
simeks

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

### Re: The Hunting of the New Herschel Conduits

Finally, the first dependent Herschel receiver (that can only accept gliders from this g6) But sadly I can't find a way to use that B...
x = 56, y = 42, rule = LifeHistory39.A$37.3A$36.A$36.2A$34.4B$33.2AB$33.A.AB$29.2A3.2AB$27.2B2AB2.3B17.2A$27.4B3.4B15.A.A$26.13B14.A$27.15B10.2A$26.17B2.2B3.BA$24.27B3A$23.27B.B2.A$22.28B3.2A$21.29B$20.4B2.22B.B2A$19.4B2.4B.16B3.BA.A$18.4B2.4B3.2B.10B8.A$17.4B2.4B9.7B9.2A$16.4B2.4B9.11B$15.4B2.4B10.12B$14.4B2.4B11.12B$8.3B2.2BDB2.D3B13.11B$8.4BDB3D.BDBD12.4B.4B3CB$5.6BD2BDB2DB2D13.2A4.4BC2B$.2B.2B2A3B3D6B15.A4.2B3C2B$2A4B2A11B13.3A6.6B$2A17B13.A8.7B$.2B.14B25.B.4B$6.13B27.4B$9.10B2A26.4B$10.9BA.A26.4B$11.2B2A3B3.A27.4B$11.BA2BAB4.2A27.4B$12.BABAB34.4B$10.4BAB36.4B$10.2A.2B38.3B$11.A$8.3A$8.A! Best wishes to you, Scorbie Scorbie Posts: 1381 Joined: December 7th, 2013, 1:05 am ### Re: The Hunting of the New Herschel Conduits Scorbie wrote:But sadly I can't find a way to use that B... It's usable, but only with the "method of last resort" B->H: x = 77, y = 50, rule = LifeHistory39.2A$23.2A14.A$12.2A8.B2AB10.BA.A$10.2B2AB7.4B7.2B.B2A$10.4B8.4B6.5B$3.2A5.6B5.5B4.7B4.2A$2.B2AB2.2B.8B.7B3.7B5.A$3.2B2.22B.7B2.3A$4.35BA$2.36B$.2B2A32B23.A$3B2A32B21.3A$.35B.B.2A3.2A11.A$.38BA.A.A.A11.2A$7B.30B.B.A.A11.4B$6B.4B2.B3.23B2A.2A9.2AB$.9B2.3B3.21B.B13.A.AB$.8B3.B2AB3.20B11.2A3.2AB$8B5.2A5.4B.13B10.2B2AB2.3B17.2A$7B14.4B.11B11.4B3.4B15.A.A$.5B16.18B7.13B14.A$.3D2B17.18B7.15B10.2A$2.BDB19.17B6.17B2.2B3.BA$2.3D20.16B4.27B3A$3.B22.6B.8B3.27B.B2.A$27.4B3.7B2.28B3.2A$28.4B2.7B.29B$29.4B2.10B2.22B.B2A$30.4B.9B2.4B.16B3.BA.A$31.12B2.4B3.2B.10B8.A$32.16B9.7B9.2A$33.14B9.11B$31.7BD2B.D3B10.12B$31.4BDB3D2BDBDB10.12B$28.6BDBD2B2DB2D4B9.11B$24.2B.2B2A3B3D6B3.2A7.4B.4B3CB$23.2A4B2A11B4.A8.2A4.4BC2B$23.2A17B5.3A6.A4.2B3C2B$24.2B.14B8.A3.3A6.6B$29.13B11.A8.7B$32.10B2A20.B.4B$33.9BA.A22.4B$34.2B2A3B3.A23.4B$34.BA2BAB4.2A23.4B$35.BABAB30.4B$33.4BAB32.4B$33.2A.2B34.4B$34.A38.4B$31.3A40.3B$31.A!

EDIT: Weird H->FNG which produces a block after one usage and then deletes it the next time around. There is also one glider lane that will pass through if the block is not present, but will delete the block if it is present.
x = 78, y = 33, rule = LifeHistory76.C$75.C$75.3C2$72.C$71.C$71.3C4$17.2C26.2C26.2C$2.3B.4B7.C12.3B.4B7.C12.3B.4B7.C$2.9B3.BC.C12.9B3.BC.C12.9B3.BC.C$.2C3B2D5B.B2C12.2C3B2C5B.B2C12.2C3B2C5B.B2C$.2C3B2D7B14.2C3B2C7B14.2C3B2C7B$2.B.11B15.B.11B15.B.11B$4.11B17.11B17.11B$5.9B19.9B19.9B$5.9B19.9B19.9B$4.8B20.8B20.8B$4.7B21.7B21.7B$3.11B17.11B17.11B$4.11B17.11B17.11B$4.11B17.11B17.11B$4.11B17.11B17.11B$2.2CB2.4B3CB15.2CB2.4B3CB15.2CB2.4B3DB$.C.CB3.4BC2B14.C.CB3.4BC2B14.C.CB3.4BD2B$.C6.2B3C2B14.C6.2B3C2B14.C6.2B3D2B$2C7.6B13.2C7.6B13.2C7.6B$9.7B21.7B21.7B$11.B.4B22.B.4B22.B.4B$14.4B24.4B24.4B$15.4B24.4B24.4B!
Sphenocorona

Posts: 480
Joined: April 9th, 2013, 11:03 pm

### Re: The Hunting of the New Herschel Conduits

Sphenocorona wrote:
Scorbie wrote:But sadly I can't find a way to use that B...

It's usable, but only with the "method of last resort" B->H...

That's definitely good enough to earn it a place in the elementary-conduits collection -- there's a whole range of output-Herschel spacetime locations that can't be efficiently reached any other way.

(If you get far enough down the diagonal you start being able to hit the same spacetime locations with a 2c/3 wire plus a little custom circuitry, but that's just silly.) (It's still high time to see how much smaller a 2c/3 transceiver can be made, though, in this brave new world of syringes and Snarks.)

dvgrn
Moderator

Posts: 5830
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the New Herschel Conduits

Inspired by Kazyan's idea, I'm running a search for a G2 receiver with this pattern:
It hasn't found anything with spartan catalysts though. Maybe someone else would like to have a try:
x = 31, y = 19, rule = B3/S23ob2ob2o3b3o$2obobobo2bo$6bo4bo2$13b2o$13bobo$13bo4bo2$15bo4bo2$17bo4bo2$19bo4bo2$21bo4bo2$23bo4bo2\$25bo4bo!
Best wishes to you, Scorbie

Scorbie

Posts: 1381
Joined: December 7th, 2013, 1:05 am

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