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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 Kazyan » June 29th, 2015, 2:38 am

Somewhat accessible Domino Spark->G:

x = 21, y = 17, rule = B3/S23
2o15b2o$bo15bo$bobo6b2o3bobo$2b2o11b2o$9bo$8bobo$8bobo$9bo4$17b2o$17bo
bo$6b2o11bo$7bo11b2o$4b3o$4bo!


The lower right eater suppresses a pre-B that destroys the upper right; getting a signal out of it is proving tricky/impossible.

EDIT: Domino to beehive-and-blinker. I think aiming a glider at the blinker to make a PI might be able to generate that spark again with the right catalysts?

x = 11, y = 10, rule = B3/S23
4b2o$4b2o3b2o$9b2o2$6bo$5bobo$2o3bobo$2o4bo2$4b2o!
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Re: The Hunting of the New Herschel Conduits

Postby Kazyan » June 29th, 2015, 7:42 pm

Non-Spartan loaf factory:

x = 19, y = 22, rule = B3/S23
11b2o$10bobo$5b2o2bo$5bo2bob2o$7b2obobo$11bo$17b2o$17bo$8b2o5bobo$7bo
2bo4b2o$8b2o5$o2bob2o$4obo10b2o$5bobo8bobo$2b2o2b2o8bo$2bo$3bo$2b2o!


EDIT: If the right spark or protrusion can be wedged in--probably via a drifter signal--this would work as a boat factory:

x = 16, y = 19, rule = B3/S23
o$3o$3bo11bo$2b2o5bo3b3o$6b3o3bo$12b2o2$6b2o$5bobo$5b2o7b2o$14b2o5$11b
2o$11bo$12b3o$14bo!
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Re: The Hunting of the New Herschel Conduits

Postby simeks » July 17th, 2015, 12:26 pm

A new H-to-G, SW4T44;

x = 15, y = 30, rule = LifeHistory
8.C$6.3C$5.C$5.2C$13.2C$13.C$11.C.C$5.E5.2C$5.E.E$5.3E$7.E12$4.2C$4.C
.C$5.2C2$2.2C$3.C$3C$C!

EDIT: Noticed now, a few days after I posted this, that the initial H-to-HF was posted here a while back.
It showed up independently in a search I made, but I assumed that part was probably already known.

One thing I find interesting is that this H-to-G extends less to the east than any previously known H-to-G, including those that are just H-to-FNG.
Last edited by simeks on July 25th, 2015, 3:49 pm, edited 1 time in total.
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » July 18th, 2015, 6:19 am

Any chance of Catforcing these to make a LWSS->G or possibly a LWSS-> H ?
x = 100, y = 38, rule = B3/S23
91bo$90bobo$90bobo$61bo29bo$6bo2bo26bo2bo20bobo3bo2bo26bo2bo$5bo25bo3b
o24bobo2bo29bo$bo3bo3bo20bobo2bo3bo21bo3bo3bo25bo3bo$obo2b4o21bobo2b4o
26b4o26b4o$obo28bo$bo21$31b2o$30bo2bo$31b2o$6bo2bo26bo2bo$5bo29bo$b2o
2bo3bo25bo3bo$o2bob4o26b4o$b2o!
Best wishes to you, Scorbie
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Re: The Hunting of the New Herschel Conduits

Postby Extrementhusiast » July 21st, 2015, 6:16 pm

An unexpected near miss, with the tightest space I've ever seen a Herschel fit into:
x = 17, y = 23, rule = LifeHistory
15.2A$15.A$13.A.A$9.2A2.2A$9.2A4$6.D$4.D.D$4.3D$4.D4$.2A$A2.A$.2A3$
12.3C$13.C$11.3C!
I Like My Heisenburps! (and others)
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Re: The Hunting of the New Herschel Conduits

Postby Sphenocorona » July 23rd, 2015, 7:23 pm

Is it possible to get this tub to become transparent?
x = 12, y = 10, rule = LifeHistory
.C$C.C$.C5$9.3C$10.C$8.3C!


Unfortunately, loafs/beehives/boats won't work here as they all produce different reactions...
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Re: The Hunting of the New Herschel Conduits

Postby simeks » July 25th, 2015, 4:28 pm

An R-to-B that isn't listed in the Conduit Collection:

x = 21, y = 15, rule = LifeHistory
5.C.C$2C2.C.2C$C3.C$.3C.3C$3.C.C2.C$7.2C5$7.E10.D$7.2E10.D$6.2E11.2D$
18.2D$18.D!

Seems like it should have shown up in someone else's Bellman search by now, but maybe it wasn't considered important?

Still, I found a nice use for it: this compact H-to-G21:

x = 32, y = 36, rule = LifeHistory
24.2A$24.A$22.A.A$13.2A7.2A$13.A.A$14.2A$10.2A$9.A.A$9.A$8.2A$13.2A4.
D$13.2A3.3D$17.2D2.D5$9.A$9.3A$A11.A$3A8.2A$3.A$2.2A16.D5.2C$19.3D4.C
.C.2C$19.D8.C.C$27.2C2.C$29.2C$27.2C$28.C$.E26.C.C$.E.E25.2C$.3E$3.E
11.2A$15.A$16.3A$18.A!
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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » July 25th, 2015, 8:53 pm

simeks wrote:An R-to-B that isn't listed in the Conduit Collection... I found a nice use for it: this compact H-to-G21:

Huh, yes, you certainly can't do that with the old R suppression, though it puts the output B in the same place:

x = 75, y = 36, rule = LifeHistory
27.2A38.2A$27.A39.A$25.A.A37.A.A$16.2A7.2A29.2A7.2A$16.A.A37.A.A$17.
2A38.2A$13.2A38.2A$12.A.A37.A.A$12.A39.A$11.2A38.2A$16.2A4.D33.2A4.D$
16.2A3.3D32.2A3.3D$20.2D2.D4.2A29.2D2.D$29.A$27.A.A$27.2A$19.8B$12.A
6.7B26.A$12.3A4.7B26.3A$3.A11.A2.7B4.B13.A11.A$3.3A8.2A3.6B.B.2BA12.
3A8.2A$6.A7.8B2A5BA.A14.A7.6B.B2A$5.2A3.B5.5BA2BA3B.BA14.2A3.B5.5BABD
A4.2C$5.8B2.9BA3B17.8B2.7B2DC4.C.C.2C$7.14B3A4B19.14BACA7.C.C$7.20B
20.17B6.2C2.C$6.19B21.19B7.2C$4.21B19.21B5.2C$2.24B16.24B5.C$2.2BD14B
4.BABA15.2BD14B4.BABA4.C.C$.3BDBD4B.6B6.B2A14.3BDBD4B.6B6.B2A5.2C$2.
2B3D4B2.B.5B5.A16.2B3D4B2.B.5B5.A$.5BD4B7.2A21.5BD4B7.2A$10B8.A21.10B
8.A$19.3A37.3A$21.A39.A!

G21 is wide enough to allow Snarks or semi-Snarks to bounce the output gliders around easily, once they get to where they're going. Here's a reasonably compact 2D Herschel transceiver, for example:

x = 172, y = 53, rule = LifeHistory
60.2A$60.A$58.A.A$49.2A7.2A$49.A.A63.2A$50.2A63.2A$46.2A39.2A$45.A.A
39.A.A$.C43.A43.A4.2A17.2A$2.C41.2A39.4A.2A2.A2.A15.2A$3C46.2A4.D29.A
2.A.A.A.A.2A2.2A$49.2A3.3D31.A.A.A.A6.A$53.2D2.D31.2A.A.A6.A.A$93.A8.
2A46.A$98.2A50.3A$79.2A17.2A53.A$80.A7.2A62.2A$45.A34.A.A5.2A$45.3A
33.2A$36.A11.A$36.3A8.2A78.D10.D$39.A87.2D10.D21.D$26.A11.2A16.D5.2C
47.2A13.2D11.2D18.3D$24.3A28.3D4.C.C.2C43.2A25.2D2.2A15.D.D$23.A31.D
8.C.C37.2A32.D3.2A15.D$23.2A38.2C2.C23.2A10.A2.A63.A$8.2A55.2C24.A12.
2A63.A.A$9.A53.2C27.3A36.A37.A.A$9.A.2A51.C29.A35.A.A37.A$10.A2.A23.C
26.C.C63.2A$11.2A24.C.C25.2C4.A20.A46.2A$26.2A9.3C29.3A18.3A46.A$26.
2A11.C11.2A15.A20.A47.A.A$51.A16.2A19.2A46.2A$52.3A49.2A$54.A49.2A$
35.A3.2A$34.A.A3.A$33.A.A3.A$29.2A.A.A3.A$29.2A.A2.4A.A17.2A19.2A$33.
A.A3.A.A15.A.A5.2A11.A.A5.2A$29.2A.2A2.A2.A.A15.A7.2A11.A7.2A$30.A.A
2.2A3.A15.2A19.2A$18.2A10.A.A$18.2A11.A38.A20.A$66.2A.A.A15.2A.A.A$
65.A.A.A.A14.A.A.A.A$62.A2.A.A.A.A.2A8.A2.A.A.A.A.2A$62.4A.2A2.A2.A8.
4A.2A2.A2.A$66.A4.2A14.A4.2A$64.A.A18.A.A$64.2A19.2A!

This is pretty much just a curiosity nowadays -- might as well just use a syringe if you're stuck with non-Spartan catalysts anyway. But it might be useful to pair this G21 converter with other circuits that need two gliders for activation.
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Re: The Hunting of the New Herschel Conduits

Postby simeks » July 26th, 2015, 4:13 pm

Another spartan H-to-G from this H->HF, SE-17T106:

x = 24, y = 27, rule = LifeHistory
17.C$15.3C$14.C$14.2C$9.7B6.2C$8.8B6.C$7.10B2.BC.C$7.7BE3B.B2C$8.6BEB
E3B$7.7B3E3B$4.12BE3B$3.17B$3.16B$4.15B$8.10B$7.13B$8.12B$7.13B$7.13B
2.C$6.14B.C.C$4.16B2.C$4.13B2CB$4.9B3.C2BC$2.2CB.8B3.2C$.C.CB.9B$.C8.
B.4B$2C11.4B!
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » July 28th, 2015, 9:04 am

Is this known? An H-R with a block to clean up... I don't think the R is in a good position, though...
x = 30, y = 29, rule = LifeHistory
29.B$28.2B$27.3B$26.4B$A24.4B$3A7.2B8.8B$3.A5.4B7.7B$2.2A.B.9B.11B$2.
26B$4.26B$3.27B$4.26B$2.6B2D14BD5B$2.2A.3B2D14B2D4B$3.A5.14BD2BD3B$3A
7.14B2D4B$A9.20B$9.11B3.7B$9.12B4.4B$9.12B$9.12B$10.7B3CB$14.4BC2B$
14.2B3C2B$15.6B$15.7B$17.B.4B$20.4B$21.4B!
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Re: The Hunting of the New Herschel Conduits

Postby simeks » August 6th, 2015, 2:14 pm

A smaller yet spartan version of H-to-G #2, now also known as SE7T14:

x = 26, y = 27, rule = LifeHistory
20.AB$19.A.AB.B$3.2A13.B.2A2B2A$4.A11.6B.B2A$4.A.AB7.6B3.B$5.2AB.3B3.
7B$7.16B$7.16B$8.15B$7.16B$5.18B$3.19B$3.2BC16B$2.3BCBC4B.9B$3.2B3C4B
2.7B$2.5BC4B2.7B$.10B4.6B$4B10.7B$3B12.6B$2B13.7B$B15.5B$16.6B$14.9B$
14.2A.7B$15.A5.4B$12.3A7.4B$12.A10.3B!
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Re: The Hunting of the New Herschel Conduits

Postby simeks » August 8th, 2015, 3:59 pm

A new H-to-B. It can be followed by conduit 1, but nothing else that I can find, but as such it makes this new L162 H-to-H:

x = 30, y = 45, rule = LifeHistory
10.3D$11.D$9.3D6$17.2A$17.A.A$19.A$19.2A6$20.C$9.2A8.C.C$9.2A9.2C2.2C
$24.2C$2A.A7.D$A.2A6.3D$9.2D2.D5$28.C$5.E20.3C$5.E.E17.C$5.3E16.C.C$
7.E17.C2$27.C$24.C.C.C$24.2C2.C$22.2C4.2C$19.2C2.C$18.C.3C$18.C$19.3C
.C.2C$21.C.2C.C$21.C$20.2C!

Surprisingly, if the B is allowed to lay down its block, it becomes a period quadrupling H-to-H (by almost the same mechanism as the quadrupling H-to-G I posted here a few days ago).

Because there is no room for the normal block-eater when used as a quadrupler, it needs to be followed by a dependent conduit, or with an H stopper, which creates this period quadrupling H-to-G9:

x = 143, y = 63, rule = LifeHistory
21.A.A$21.A2.A18.2A$6.A6.A10.2A17.A$5.A.A5.A8.A3.2A4.2A10.A$4.A.2A6.A
9.2A6.2A9.2A$3.2A.2A9.2A2.A2.A$4.A.2A5.3A2.A2.A.A19.2A$5.A.A7.4A23.A.
A$6.A9.2A25.A4$2.3A19.A11.2A$.2A.2A19.2A10.2A$.2A.2A18.2A10.A91.2A$.
5A121.A2.A$2A3.2A121.2A3$29.A$29.2A$.2A25.A.A3$123.3D$3.2A119.D$3.2A
5.A113.3D$8.4A6.2A2.2A20.A$7.A.A.2A5.4A.A2.A.A13.A.A88.C$6.A2.A.3A5.
2A.A3.A3.A12.2A87.C.C$6.2A.A.2A4.A12.A5.2A95.2C2.2C$4.3A.4A14.A4.A4.
2A58.2A39.2C$3.A.A4.A19.A65.A.A25.D$3.A22.A3.A55.A11.A24.3D$2.2A22.A.
A57.3A9.2A22.2D2.D$89.A$76.2A10.2A$77.A$77.A.A$67.A10.2A61.C$65.3A29.
D3.2A15.D20.3C$64.A32.2D2.2A15.D.D17.C$64.2A32.2D18.3D16.C.C$49.2A47.
D21.D17.C$50.A46.D$50.A.2A86.C$51.A2.A23.D58.C.C.C$52.2A24.D.D56.2C2.
C$67.2A9.3D54.2C4.2C$67.2A11.D10.2A39.2C2.C$91.2A38.C.3C$87.2A42.C$
88.A43.3C.C.2C$76.A3.2A3.3A46.C.2C.C$75.A.A3.A3.A48.C$74.A.A3.A52.2C$
70.2A.A.A3.A$70.2A.A2.4A.A$74.A.A3.A.A$70.2A.2A2.A2.A.A$71.A.A2.2A3.A
$59.2A10.A.A$59.2A11.A!
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Re: The Hunting of the New Herschel Conduits

Postby Kazyan » August 9th, 2015, 2:25 am

Non-spartan H-to-C, compact enough to bother posting.

x = 18, y = 22, rule = LifeHistory
7.A$7.3A$10.A$5.4A.A$4.A3.A.2A$4.2A$6.A$4.3A8.3D$2A.A13.D$2A.A.2A7.D.
2D$3.A.A8.2D$3.A.A$4.A6$6.2A7.3C$5.A.A8.C$5.A8.3C$4.2A!


EDIT: Do we have this one? I don't see it in the conduit collection. It's a tiny B-to-G, though hard to make fit. It works with Simkin's B-to-B and nothing else in the collection.

x = 12, y = 13, rule = LifeHistory
4.2A$4.A$5.3A$7.A$2.A$.A.A6.2D$.A.A5.D.D$2A.2A4.C.D$5.A2.3C$2A.2A3.C.
2C$.A.A$.A2.A$2.2A!
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Re: The Hunting of the New Herschel Conduits

Postby Scorbie » August 9th, 2015, 5:14 am

@Kazyan I posted that one quite some time ago:
(The left catalyst is essentially equivalent to the gourmet catalyst)
Scorbie wrote:Here'a a B-to-G with questionable usability:
x = 11, y = 15, rule = B3/S23
3b2o$3bo$4b3o$6bo2$o$3o$3bo4bo$2bobo2b3o$2b2o3bob2o2$2b2o$2bo$obo$2o!


EDIT: I think I have seen from elsewhere that the catalyst in the HtoC could be replaced by an eater2, but I can't tell.
EDIT2: Sorry, I was mistaken with a different H-to-C.
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Re: The Hunting of the New Herschel Conduits

Postby simeks » August 16th, 2015, 7:50 pm

A new H-to-G, SE29T12, with a transparent loaf - all cells are off in generation 60.
Thanks to Kazyan for posting the lower catalyser pair here!

x = 27, y = 29, rule = LifeHistory
4.2C7.2C4.2C$4.C7.C2.C3.2C$5.3C4.C.C$7.C5.C$2C$.C$.C.C$2.2C7$2.E$2.E.
E$2.3E18.2C$4.E18.C.C$25.C$25.2C3$9.C.2C5.2C$7.3C.2C5.C.C$6.C9.C.C.3C
$7.3C.2C3.2C5.C$9.C.C10.2C$9.C.C$10.C!
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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » August 17th, 2015, 12:41 pm

Kazyan wrote:EDIT: Do we have this one? I don't see it in the conduit collection. It's a tiny B-to-G, though hard to make fit. It works with Simkin's B-to-B and nothing else in the collection.

Connecting to that B-to-B is good enough to make it useful, since the B-to-B connects to so many things including itself.

I was hoping for a non-power-of-two difference in timing between a glider and a B-to-B chain, but I guess a delay of four ticks per extra B-to-B pair is better than nothing:

x = 93, y = 54, rule = LifeHistory
78.2A$78.A$79.3A$81.A$35.2D39.A$34.D.D38.A.A6.2D$36.D38.A.A5.D.D$74.
2A.2A6.D$79.A$74.2A.2A$75.A.A3.5B$75.A2.A2.5B$76.2A2.7B$81.6B$81.5B$
60.2B16.8B$59.4B13.10B$59.4B12.12B$55.B2.6B11.13B$54.2AB.2B2A2B11.12B
$54.2A3BA2BA3B.B7.13B$55.2B.2B2A7B3.16B$6.2A50.18BD13B$6.A52.17B2D9BA
4B$7.3A49.18B2D7BABA4B$9.A49.18BD8BABA4B$4.A53.18BD10BA4B$3.A.A50.B.
13B2.B4.B.2B3.5B$3.A.A49.2AB.12B6.3B7.B$2.2A.2A48.2A4BD9B6.B2AB5.3B$
7.A48.2B.B3D7B8.2A6.B2AB$2.2A.2A52.D2B2D6B17.2A$3.A.A3.5B45.10B$3.A2.
A2.5B45.6B$4.2A2.7B43.7B$9.6B44.6B$9.5B45.5B$6.8B42.8B$4.10B40.10B$3.
12B38.12B$3.13B37.13B$3.12B38.12B$3.13B37.13B$16B34.16B$4BC13B30.6BC
13B$4B2C9BA4B27.7B2C9BA4B$5B2C7BABA4B26.8B2C7BABA4B$5BC8BABA4B27.7BC
8BABA4B$4BC10BA4B30.B.2BC10BA4B$.B4.B.2B3.5B38.B.2B3.5B$5.3B7.B39.3B
7.B$5.B2AB5.3B38.B2AB5.3B$6.2A6.B2AB38.2A6.B2AB$15.2A48.2A!

EDIT: For example, here's an H-to-G9 with the spacing between the tandem gliders adjustable in 4-step increments. Who knows, maybe something like this will come in handy somewhere:

x = 217, y = 90, rule = B3/S23
162b2o4b2o$161bo2bo3b2o$162b2o5$140b2o$140bo$138bobo5bo20b2o$138b2o5bo
bobo17b2o$143b3ob2obo$142bo7bo$143b3ob3o$145bobo8$93b2o4b2o83b2o4b2o$
92bo2bo3b2o82bo2bo3b2o$93b2o89b2o2$158bo$157bobo$157bobo$71b2o85bo$71b
o$69bobo5bo20b2o89b2o$69b2o5bobobo17b2o66b2o21b2o$74b3ob2obo75b2o7b2o$
73bo7bo75b2o$74b3ob3o$76bobo8$24b2o4b2o83b2o4b2o83b2o4b2o$23bo2bo3b2o
82bo2bo3b2o82bo2bo3b2o$24b2o89b2o89b2o2$89bo90bo$88bobo88bobo$88bobo
88bobo$2b2o85bo90bo$2bo$obo5bo20b2o89b2o89b2o$2o5bobobo17b2o66b2o21b2o
66b2o21b2o$5b3ob2obo75b2o7b2o80b2o7b2o$4bo7bo75b2o89b2o$5b3ob3o$7bobo
4$18bo90bo90bo$17bobo88bobo88bobo$17b2o89b2o89b2o2$11b2o89b2o89b2o$12b
o90bo90bo$12bobo88bobo88bobo$13b2o89b2o89b2o6$33b2o89b2o89b2o$13bo19b
2o69bo19b2o69bo19b2o$13bobo88bobo88bobo$13b3o88b3o88b3o$15bo90bo90bo$
30b2o89b2o89b2o$30b2o89b2o89b2o3$6b2o89b2o89b2o$7bo20b2o68bo20b2o68bo
20b2o$4b3o15b2o4bobo64b3o15b2o4bobo64b3o15b2o4bobo$4bo18bo6bo64bo18bo
6bo64bo18bo6bo$20b3o7b2o79b3o7b2o79b3o7b2o$20bo90bo90bo!
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Re: The Hunting of the New Herschel Conduits

Postby Sphenocorona » August 18th, 2015, 5:46 pm

I found a transparent reaction between a BG and a block - the block and the first eater to interact are the only two still lives required, but I added the others trying to get a conduit out of it. Can anyone else make something of this?
x = 17, y = 14, rule = B3/S23
2$b2o$b2o$12b2o$12bobo$14bo$14b2o$b2o$bobo$3b2o!
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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » August 19th, 2015, 1:51 pm

Sphenocorona wrote:I found a transparent reaction between a BG and a block - the block and the first eater to interact are the only two still lives required, but I added the others trying to get a conduit out of it. Can anyone else make something of this?
rle

This is the best I could come up with:
x = 62, y = 76, rule = LifeHistory
3$42.2C$41.B2C2B$42.4B$41.6B2.B$37.10B.B2C$36.13B2C$36.14B$36.14B$32.
2C2.8B3.B$31.B2CB.7B$32.2B2.7B$31.2B3.6B$30.BC2B.7B$15.2C13.C.C9B$14.
B2C2B12.C.8B$15.4B9.3C4.6B$16.4B8.C7.6B$14.5B16.7B$12.7B6.2C8.6B$12.
7B5.B2CB7.6B$11.2C7B5.3B7.6B$11.2C9B4.B.B.B3.7B$12.B.18B3.7B$15.19B.
6B$15.18BD7B$15.8B2D7BDBD7B$11.B3.8B2D7BDBD8B$11.2B3.17BD10B$11.3B2.
31B6.2C$11.4B2.11B2D7B2D9B5.C$12.4B.10BD2BD5BD2BD8B2.BC.C$13.4B.10B2D
7B2D9B2.B2C$14.4B2.32B$15.4B.13BD17B$16.16BDBD16B$17.15BDBD14B$15.18B
D15B$14.2C32B$14.2CB.32B$15.B2.33B$19.32B$19.31B$12.39B$11.16B2D22B$
11.16B2D21B$11.40B$11.41B$8.B.11B2.2B.27B$7.2C9B8.9B2D17B$7.2C7B10.9B
2D18B$8.7B11.29B$8.7B12.27B$10.5B12.29B$12.4B11.25B.B2C$11.4B12.25B2.
C$10.B2C2B12.24B4.3C$11.2C13.25B6.C$23.B.26B$22.2CB.25B$22.2C25B$23.B
.14B2C9B$26.7B.5B2C10B$28.4B4.14B2C$26.5B2.3B.10B2.BC.C$26.2C4.15B5.C
$27.C4.15B5.2C$24.3C4.8B2C6B$24.C6.8BCBC4B$31.10B2C3B$31.14B$32.5B.4B
$32.2B!

It turns a BG into a glider, three blocks, a HF, and three(!) Herschels. There might be something that can be done to clean it up, but it would still have an immense repeat time.

P.S. Sorry about the nonstandard H-FNGs; I can never remember the beehive one.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: The Hunting of the New Herschel Conduits

Postby M. I. Wright » August 19th, 2015, 2:01 pm

Cleaned up somewhat:

x = 44, y = 40, rule = LifeHistory
23.2A$23.2A6$13.2D$2A11.2D$2A12$25.2D$25.2D2$40.2A$40.A$41.3A$43.A2$
8.2A$8.2A$25.2A$25.2A$36.2A$36.A.A$12.2A24.A$13.A24.2A$10.3A12.2A$10.
A14.A.A$27.2A!

I can't see a way to get rid of the middle block without reworking the whole thing, though.

Edit: removing the leftmost eating block turns it into a block-keeper. Could be useful if the debris can be taken care of.
x = 84, y = 41, rule = LifeHistory
63.2A$20.2A41.2A$20.2A5$43.2D$2C41.2D$2C15$80.2A$37.2A41.A$37.A43.3A$
38.3A42.A$40.A$48.2A$5.2A41.2A$5.2A58.2A$22.2A41.2A$22.2A52.2A$33.2A
41.A.A$33.A.A16.2A24.A$9.2A24.A17.A24.2A$10.A24.2A13.3A12.2A$7.3A12.
2A26.A14.A.A$7.A14.A.A42.2A$24.2A!
Last edited by M. I. Wright on September 23rd, 2015, 11:25 pm, edited 2 times in total.
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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » August 22nd, 2015, 6:38 pm

What I think is a new H-to-pi:
x = 38, y = 29, rule = LifeHistory
23.2C$23.C$10.3D7.BC.C$10.DBD3.3B.B2C$10.DBDB2.5B$9.12B10.2C$6.2B.11B
12.C$5.2C14B11.C.2C.C$5.2C13B11.2C.C.2C$6.2B.12B.B7.B$8.18B4.B3C$3.2C
2.24BC2.C$3.C3.24B2.2C$2C.C.26B$C2.C.2C23B$2.2C.C.2B.20B$5.C.B2.15B.B
2.BC$5.2C4.B.10B6.C.C$13.9B8.2C$14.11B$14.12B$14.12B$15.11B$13.4B.4B
3CB$13.2C4.4BC2B$14.C4.2B3C2B$11.3C6.6B$11.C8.7B$22.B.4B!

I don't think it connects to anything, though. I do think the boat+BTS catalysis is something to look in to further.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: The Hunting of the New Herschel Conduits

Postby simeks » August 22nd, 2015, 9:00 pm

A for awesome wrote:What I think is a new H-to-pi:
I don't think it connects to anything, though. I do think the boat+BTS catalysis is something to look in to further.

Interesting first catalysts!
A quick 2 catalyser search with the new Bellman version I'm working on finds this new H-to-G too (SE30T14):

Edit: As noticed by Extrementhusiast in the next post, the lower catalyser pair can be replaced by a block. Updated pattern.

x = 33, y = 35, rule = LifeHistory
13.2C$14.C$12.C$12.5C$16.C$10.4C$10.C2.C$20.2C$20.C$21.C$20.2C9.2C$2C
29.C$.C27.C.C$.C.C25.2C$2.2C7$2.E$2.E.E$2.3E$4.E9$13.2C$13.2C!
Last edited by simeks on August 24th, 2015, 9:29 am, edited 1 time in total.
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Re: The Hunting of the New Herschel Conduits

Postby Extrementhusiast » August 23rd, 2015, 8:20 pm

A for awesome wrote:I do think the boat+BTS catalysis is something to look in to further.


I don't, as it's equivalent to a block:
x = 81, y = 23, rule = LifeHistory
74.2A$75.A$75.A.2A.A$74.2A.A.2A2$74.3A$74.A2.A$76.2A$22.2A$22.2A2$73.
A$72.A.A$73.2A5$11.3C51.3C$2.2D8.C43.2D8.C$3.D6.3C44.D6.3C$3D51.3D$D
53.D!

However, this discovery is not completely in vain, as that particular eating mechanism of the BTS could be used elsewhere.
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Re: The Hunting of the New Herschel Conduits

Postby simeks » August 24th, 2015, 4:50 pm

chris_c's H-to-Pi from here creates a new H-to-G (NW26T109) if the Pi is stopped short.

It is a lot smaller than previous H-to-G:s with that mod-8 timing. It would for example create a much smaller "d4" syringe rephasing here.

x = 28, y = 26, rule = LifeHistory
6.C13.C$6.3C10.C.C$9.C10.C$2C6.2C$.C24.2C$.C.C23.C$2.2C17.2C.3C$21.2C
.C6$2.E$2.E.E18.2C$2.3E18.2C$4.E6$16.2C$16.C$17.3C$19.C!
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Re: The Hunting of the New Herschel Conduits

Postby Extrementhusiast » September 3rd, 2015, 10:54 pm

Period-doubling pi-to-pi, which could possibly be made into an actual conduit:
x = 27, y = 17, rule = LifeHistory
7.2D15.3D$7.2D17.D$24.3D2$9.3C$9.C.C$2.2A5.C.C$.A.A$.A$2A4$16.2A$16.A
$17.3A$19.A!

However, getting the pi there might get a bit tight.
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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » September 4th, 2015, 7:49 am

Extrementhusiast wrote:Period-doubling pi-to-pi, which could possibly be made into an actual conduit... However, getting the pi there might get a bit tight.

It would take an outright miracle to squeeze a pi-generating spark between those two eaters -- I don't think I've seen anything within half a dozen cells of working along those lines. The current elementary-conduits collection still has a broken BR241Pi that looks much more hopeful than it is, and even as shown it wouldn't be good enough.

So presumably the input pi would have to be engineered -- three gliders, or junk/spark plus glider, are both technically possible I think, but expensive. Or a conduit would have to be found that throws an active reaction a long distance and then produces an edgy backward pi.

Has anyone ever seen anything like that? Known pi conduits always seem to be pointed away from the action, but maybe only because that's what people have been looking for.
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