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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

Postby simeks » October 17th, 2015, 2:00 pm

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

x = 17, y = 18, rule = LifeHistory
7.2C$7.C$5.C.C$4.C.C$2C3.C$2C$11.2C$11.C.C$13.C$13.C.2C$10.2C.C.2C$E
8.C2.C$E.E7.2C$3E$2.E7.4C$11.C2.C$9.C3.2C$9.2C!
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Re: The Hunting of the New Herschel Conduits

Postby Extrementhusiast » October 17th, 2015, 2:03 pm

Scorbie wrote:Very unlikely, but any chance of a MWSS heisenburp?
x = 12, y = 12, rule = LifeHistory
9.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/S23
100b2o$99bobo$93b2o4bo$91bo2bo2b2ob4o$91b2obobobobo2bo$94bobobobo$94bo
bob2o$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$91b3o46b2o
3bo3b2o$93bo46b2o4b3o2bo$148bob2o$42b2o104bo$42b2o78b2o23b2o$122b2o2$
41bo62b2o33b2o$40bobo60bobo33bo$41bo38b2o4b2o15bo36b3o$38b3o39b2o4b2o
14b2o38bo$38bo94b2o$132bo2bo2b2o$132bobo4bo$81b2o30b2o18bo5bob2o$81b2o
2b2o25bobo21b2obobo$72b2o11bobo24bo23bo2bo2bo$72bobo12bo23b2o20bo4bo2b
2o$74bo12b2o44b5o$74b2o$59b2o74b2obo$58bobo74bob2o$58bo$57b2o8$9bo$9b
3o$12bo$11b2o81bo$65b2o25b3o$65b2o24bo$3b2o86b2o$3bo52b2obo$2obo52bob
2o$o2b3o4b2o62b2o$b2o3bo3b2o62bo$3b4o65bobo$3bo15b2o51b2o$4b3o12bobo
59b2o$7bo13bo4b2o29bo22bobo5b2o$2b5o14bob2o2bo29b3o20bo7b2o$2bo17b2o2b
3o21bo11bo18b2o$4bo17bo9bo15b3o8b2o14bo$3b2o17b3o5b3o18bo22bobo16bo$
25bo3bo20b2o23bo13b2obobo$24b2o3b2o57bobobobo$80bo4bo2bobobobob2o$78b
3o4b4ob2o2bo2bo$77bo11bo4b2o$77b2o8bobo$86bobo$86bo$85b2o$38b2o46bob2o
$38b2o23b2o21bobo$26b2o35bo14b2o4b3o2bo$25bo2bo35b3o11b2o3bo3b2o$20b2o
4b2o38bo16b4o$19bobo47b2o15bo$19bo48bobo12b3o$18b2o48bo13bo$28b2o37b2o
14b5o$28bo58bo$29b3o53bo$31bo53b2o5$55bo$55b3o$58bo$57b2o7$67b2o$60b2o
5bobo$60b2o7bo$69b2o2$56bo$55bobob2o$55bobobobo$52b2obobobobo2bo$52bo
2bo2b2ob4o$54b2o4bo$60bobo$61b2o!


This is a link to one I constructed in the pre-Snark era.
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » October 17th, 2015, 2:18 pm

I was looking for a more direct one, but that looks like a long shot :roll: 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
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Re: The Hunting of the New Herschel Conduits

Postby Kazyan » October 17th, 2015, 4:07 pm

Weird spartan B-to-Pi:

x = 33, y = 29, rule = LifeHistory
3B19.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$11.10B2C
6B$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!
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Re: The Hunting of the New Herschel Conduits

Postby Sphenocorona » October 17th, 2015, 4:59 pm

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 = LifeHistory
15.B$10.7B6.2C$8.11B3.C2BC$8.8BC3B.BCBCB$8.7BCBC5BC2B$B6.7BC2BC6B$2B
3.2B.7B2C5B$22B$23B$.22B$2.11B2C8B$4.10B2C6B$6.7B2C9B$6.7BC10B$6.17B
2C$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 = LifeHistory
14.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$5.25B
D$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!
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » October 17th, 2015, 8:59 pm

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
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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » October 18th, 2015, 2:03 pm

Sigh...:
x = 28, y = 22, rule = LifeHistory
25.2A$8.A16.2A$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)

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

http://conwaylife.com/wiki/A_for_all

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Re: The Hunting of the New Herschel Conduits

Postby M. I. Wright » October 18th, 2015, 2:57 pm

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 = LifeHistory
50.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$26.4B
16.5B102.4B$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$18.4B22.11B5.4B
94.7B$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.4B
16.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$5.12BD
3B2A15BD21B5.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.B20.17B
91.2B3D4B2.6B$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$48.6B
89.2A15.5B$49.5B90.A15.4B$47.2AB.2B88.3A14.5B$46.A.AB91.A16.2A$46.A
112.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 = LifeHistory
55.3B6.4B$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$42.17B5.2A
20.4B.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$44.7B
24.4B9.6B$44.8B22.4B9.6B$45.8B20.4B11.6B$45.8B19.4B11.6B$44.6B2.B2A
16.4B13.6B$44.7B.BA.A14.4B13.6B$45.6B4.A13.4B15.6B$45.6B4.2A11.4B15.B
DBD2B$45.6B16.4B17.3BD2B$44.8B14.4B17.D3BDB$43.8B14.4B19.3BDB$43.9B
12.4B20.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$2A6.9B14.19B.B
2A$.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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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » October 18th, 2015, 10:15 pm

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 = LifeHistory
9$42.2D$41.D2.D$42.2D9.A$52.A.A$53.2A15$42.2A$42.2A2$41.3D$42.D$40.3D
2$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$23.3A8.2A
14.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 = LifeHistory
33.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

Postby Kazyan » October 18th, 2015, 11:55 pm

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

x = 79, y = 32, rule = LifeHistory
17.3D47.3D$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.D9.3BA8.2E
36.3BA8.2E$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.
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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » October 19th, 2015, 7:27 am

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 = LifeHistory
92.A$92.3A$95.A23.2A$94.2A23.A$94.4B18.BA.A$75.A20.3B14.2A.B2A$12.B
43.2A17.3A12.B.3B.4B12.B2A2B$12.2B43.A20.A10.18B6.4B$12.3B24.2B15.A
20.2A3.B5.2B2A11BD4B3.6B$12.4B22.4B14.2A19.8B3.2B2A9B3D4B2.6B$13.4B
21.4B15.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$17.4B
13.2B.2B2A7B3.2B2.11B3.2B2.19B11.16B$18.3BA15.18BD3B2A15BD15B12.14B$
19.ABAB15.17B2D2B2A15BDBD4B.7B12.16B$20.2A2B14.18B2D18B3D13B11.14B.B
2A$21.4B13.18BD21BD14B8.2AB.3B3.6B.BA.A$22.4B11.18BD26B2.8B8.A.AB7.6B
4.A$23.4B8.B.13B2.B4.13B.4B11.6B8.A9.7B4.2A$24.4B6.2AB.12B7.7B.B5.3B
12.5B8.2A4.2A2.8B$25.4B5.2A4BD9B19.4B14.4B13.A.A12B$26.4B5.2B.B3D7B
20.2A16.4B13.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$33.4BA
2BA3B.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$3.46B60.5B
D2B$3.46B57.2B.4B3DB$3.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.16B55.13B$35.14B
55.13B$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$35.3B
2A2B63.2A15BA15B$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$35.6B
65.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$27.22B
84.6B$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$22.24B
3.A81.2B3A2B8.A$23.21B87.4BA3B5.3A$24.11B3D6B87.4B2A2B4.A$24.11BDBD6B
88.8B3.2A$22.4B.8BDBD6B2A86.3B2A2B2.4B$22.2A3.17BA.A83.5B2A2B.3B$23.A
3.15B4.A83.13B$20.3A5.13B5.2A81.16B$20.A9.12B86.17B132.2A$30.12B37.A
9.A15.A23.16B131.B2A2B3.2A$32.10B7.2A28.3A5.3A13.3A11.2A11.15B132.4B
2.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.A
5.12B2A3B.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$29.20B11.10B
2.16B2.4B3D53B58.4B13.2A3BA2BA3B.B8.10B10.18B$30.22B2.2B3.30B.4BDBD
15B2A37B58.4B13.2B.2B2A7B3.2B2.11B3.2B2.19B$27.B.19BA15B2A30BD15B2A
37B59.3BA15.18BD3B2A15BD15B$26.2A13B.4BDBA15B2A34B2.2B3.44B60.ABAB15.
17B2D2B2A15BDBD4B.7B$26.2A12B2.4B3A48B11.10B2.29B.B2A59.2A2B14.18B2D
18B3D4B2.6B$27.B.11B2.4BA48B16.6B4.8B.19B.BA.A59.4B13.18BD21BD5B.7B$
31.9B3.51B19.3B9.23B5.A60.4B11.18BD29B.6B$32.B.6B10.4B.13B3.B.22B20.B
11.13B.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.A4.2B2AB
9.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.A
24.2A33.3A85.4B6.10B19.3A16.7B4.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.B
A39.12B$226.11BA.A39.11B$226.11B.2A31.2A9.7B$225.12B35.A8.8B$225.12B
35.A.AB3.9B$225.5B2A5B2.3B31.2AB.11B$225.4BA2BA3B.6B32.14B$226.4B2A9B
A2B30.15B.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$201.40B
37.12B$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.A
188.4BD3B14.2A29.10B$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.2B2A6B
3.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$42.12B
187.7B8.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.6B2AB5.8B
174.2A4.6B27.14B.BA.A$28.2AB.13B2A2B5.8B179.6B27.11B7.A$30.18B7.8B
177.8B28.10B6.2A$30.17B9.8B177.8B26.12B$31.13B13.8B175.9B26.12B$33.
12B13.8B174.9B26.11B$35.10B14.8B173.10B23.2A.9B$35.11B14.8B172.5B2A3B
23.A3.8B$36.2B.7B15.8B171.5B2A4B3.2A15.A.A3.8B$36.11B15.8B170.11B3.A
16.2A5.7B$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.A
18.8B159.2A5.6B29.12BA.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.B
23.8B30.8B159.12B26.10B$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$12.4B12.2AB3.6B
37.8B155.7B24.2A4.6B$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$18.4B11.10B40.8B
145.2BD4B4.2A27.8B$19.4B10.5B2A3B41.8B144.2B3D2B4.A29.7B$20.4B9.5B2A
4B41.8B143.6B6.3A27.6B7.2A$21.4B8.11B42.8B141.7B8.A27.2B3D2B6.A$22.4B
7.4BD7BA.2A38.8B139.8B36.2BD4B3.BA.A$23.4B8.B3D4B2.2A.A39.8B137.8B37.
B3D4B2.B2A$24.4B7.D2B2D2B47.8B136.8B37.11B$25.4B6.7B48.8B133.2AB2.6B
36.11B$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$30.5B2A5B2.3B53.8B
126.5B2A3B28.16B2A3B$30.4BA2BA3B.6B53.8B125.5B2A4B3.2A22.2A3.4B.6B2A
2B$31.4B2A9BA2B53.8B124.11B3.A24.A5.B4.8B4.2A$.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$46B61.8B
116.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$32.13B66.8B
116.7B4.3A30.A4.2B3D2B$32.11B69.8B111.B4.7B2.A11.A20.2A4.4BD2B$31.13B
69.8B109.A2B.B.6B3.2A8.3A15.A4.4B.4B3DB$30.15B69.8B107.A.A15B7.A18.3A
4.11B$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.B2AB2.4B
31.8B7.2A7.AB90.21B11.10B2.9B$32.9B39.2B3.6B.B23.2A3.8B5.B2AB3.BABA
91.24B2.2B3.23B$31.3BD4B42.2B2.10B21.A5.8B4.3B3.2B2A90.2AB5.14BD15B2A
16B.B$31.8B14.2A25.2B2A11B6.2A14.A5.8B4.B2.5B90.A.AB6.6B.4BDBD15B2A
17B2A$31.7B.B12.B2AB21.B.3B2A12B5.A14.2A6.8B.9B91.A7.5B.B2.4B3D34B2A$
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.B
87.3A16.4B.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.4BD17B2A2B2D21B2A7B
113.A14.3A$33.25B.B23.6B2.25B2D11B2D9B2A4B.B115.3A11.A$30.2B.25B24.7B
.27BD10B2C14B121.A$29.2A4B2A20B25.6B.29BD9BAC2B2A7B3.A$29.2AB.2B2A6B
3.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$32.4B12.11B23.7B14.2A
16.A4.2B4.2B2AB$32.2B2AB10.12B14.2A7.6B15.A14.3A4.2BAB5.2A$30.2AB.2A
11.12B15.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.B2A
6B.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$49.11B
15.8B$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.
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dvgrn
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » October 19th, 2015, 8:06 am

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
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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » October 19th, 2015, 9:42 am

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 = LifeHistory
39.3D$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.B2A6B2.2B
2.27B$5.2A15BD24B$5.17BDBD20BC2B$.21B3DB2A16BCBC2B$.23BDB2A16BCBC2B$
2A43BC4B$2A14B.B5.26B$.B.11B11.B2.20B$3.10B15.19B$4.12B12.17B$3.14B
11.18B$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$11.8B11.4B28.4B
14.4B15.2E12.3E$12.8B9.4B19.E9.5B12.4B4.B.7B3.3B.2B7.E$12.9B7.4B.3B.B
12.3E8.6B11.4B.13B5.5B6.2E$11.6B.21B10.E11.8B2.36B2.5B$11.7B.5BD11B2E
2B5.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.
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Re: The Hunting of the New Herschel Conduits

Postby gmc_nxtman » October 19th, 2015, 11:30 am

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$36.4BD
3B7.A44.20B2.B11.11B.B$36.3B3D2B4.BA.A45.19B15.10B$37.8B3.B2A48.17B
12.12B$37.3B2A2B2.3B49.18B11.14B$35.5B2A2B.4B49.11B.5B12.13B$35.13B
49.12B2.4B12.13B$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$26.5B5.35BD3B2A15BD15B
6.2AB3.15B.B2A$28.B5.37B2D2B2A15BDBD4B.7B6.A.AB2.18B2A$34.2A3.33B2D
18B3D13B5.A5.12B2A3B.B$35.A4.32BD21BD14B3.2A6.11B2A2B$32.3A6.30BD26B
2.8B12.10B2.2B$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.
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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » October 19th, 2015, 5:17 pm

Is there any way to get the glider and R here?:
x = 19, y = 13, rule = LifeHistory
11.2A$10.B2A2B$.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 = LifeHistory
33.2A6.4B$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$8.A5.4B4.B
2.21B$A6.A.A3.4B4.3B.22B$3A4.BA2B.4B5.26B$3.A4.2B.4B6.28B$2.2A2.3B.4B
6.30B$2.12B6.29B$4.10B4.30B$4.2BC41B$4.2B2C34B.4B$4.B2C34B2.3B$4.37B
4.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 = LifeHistory
C$3C5.2C$3.C4.C$2.C2.BC.C$.C.2BC.C$.2C.2BC$5.3B6.2C$6.2B6.C$2.D.5B2.B
C.C$.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 = LifeHistory
5.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$5.4B
2C5B$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

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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » October 19th, 2015, 8:02 pm

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 = LifeHistory
161.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$59.2A
14.5A$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$A2.3A4.2A22.2A
26.2A.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.D
27.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.
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Re: The Hunting of the New Herschel Conduits

Postby Kazyan » October 19th, 2015, 8:41 pm

Q-to-W:

x = 31, y = 29, rule = LifeHistory
24.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$8.4B3C
10B$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!
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Re: The Hunting of the New Herschel Conduits

Postby Freywa » October 20th, 2015, 10:44 am

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.
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Re: The Hunting of the New Herschel Conduits

Postby gmc_nxtman » October 20th, 2015, 10:46 am

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

x = 81, y = 45, rule = B3/S23
8bobobo4bobobo41bobobo4bo3bo2$12bo4bo3bo45bo4bo3bo2$12bo4bo3bo45bo4bob
obo2$12bo4bo3bo45bo8bo2$12bo4bobobo45bo8bo4$19b2o$19b2o12bo31bo4b2o8bo
$31b3o30bobo2bobo6b3o$19b4o7bo32bo2b4o7bo$16bobo4bo6b2o31bobo4bo6b2o$
14b3ob2o2b2o37b3ob2o2b2o$13bo46bo$10bo2b4ob2o37bo2b4ob2o$10b3o3bob2o
37b3o3bob2o$13bo46bo$12b2o45b2o11$9bo46bo$9bobo44bobo$9b3o44b3o$11bo
46bo2$24b2o45b2o$18b2o4bobo38b2o4bobo$19bo6bo39bo6bo$2b2o12b3o7b2o21b
2o12b3o7b2o$3bo12bo33bo12bo$3o44b3o$o46bo!


I'm not sure how easy it would be to slow-salvo construct either of the two forms, however.
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » October 20th, 2015, 10:54 am

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
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Re: The Hunting of the New Herschel Conduits

Postby simeks » October 20th, 2015, 4:03 pm

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 = LifeHistory
14.2C$C13.2C$3C$3.C$2.2C$23.C$21.3C$20.C$21.C$20.2C$19.C$.E17.5C$.E.E
19.C$.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!
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » October 23rd, 2015, 8:21 pm

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 = LifeHistory
39.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$14.4B
2.4B11.12B$8.3B2.2BDB2.D3B13.11B$8.4BDB3D.BDBD12.4B.4B3CB$5.6BD2BDB2D
B2D13.2A4.4BC2B$.2B.2B2A3B3D6B15.A4.2B3C2B$2A4B2A11B13.3A6.6B$2A17B
13.A8.7B$.2B.14B25.B.4B$6.13B27.4B$9.10B2A26.4B$10.9BA.A26.4B$11.2B2A
3B3.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
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Re: The Hunting of the New Herschel Conduits

Postby Sphenocorona » October 23rd, 2015, 9:37 pm

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 = LifeHistory
39.2A$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$7B14.4B.11B11.4B
3.4B15.A.A$.5B16.18B7.13B14.A$.3D2B17.18B7.15B10.2A$2.BDB19.17B6.17B
2.2B3.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$31.4BDB3D2BDB
DB10.12B$28.6BDBD2B2DB2D4B9.11B$24.2B.2B2A3B3D6B3.2A7.4B.4B3CB$23.2A
4B2A11B4.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.BA
2BAB4.2A23.4B$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 = LifeHistory
76.C$75.C$75.3C2$72.C$71.C$71.3C4$17.2C26.2C26.2C$2.3B.4B7.C12.3B.4B
7.C12.3B.4B7.C$2.9B3.BC.C12.9B3.BC.C12.9B3.BC.C$.2C3B2D5B.B2C12.2C3B
2C5B.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$4.8B20.8B
20.8B$4.7B21.7B21.7B$3.11B17.11B17.11B$4.11B17.11B17.11B$4.11B17.11B
17.11B$4.11B17.11B17.11B$2.2CB2.4B3CB15.2CB2.4B3CB15.2CB2.4B3DB$.C.CB
3.4BC2B14.C.CB3.4BC2B14.C.CB3.4BD2B$.C6.2B3C2B14.C6.2B3C2B14.C6.2B3D
2B$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
 
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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » October 23rd, 2015, 11:11 pm

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.)
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dvgrn
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » October 25th, 2015, 2:18 am

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/S23
ob2ob2o3b3o$2obobobo2bo$6bo4bo2$13b2o$13bobo$13bo4bo2$15bo4bo2$17bo4bo
2$19bo4bo2$21bo4bo2$23bo4bo2$25bo4bo!
Best wishes to you, Scorbie
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