The Hunting of the New Herschel Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
dvgrn
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Re: The Hunting of the New Herschel Conduits

Kazyan wrote:A quick 2-catalyst run from generations 90-130 using the catalyst searcher doesn't yield anything, so I guess it's up to manual searches or Bellman catalysts to get that working (and hopefully, delete that annoying blinker with a glider or something).
There are no open paths where a glider could plausibly destroy that blinker -- it's really well protected by the catalysts around it. I hate to be one of those boring it-will-never-work people, because an incredibly lucky B-heptomino or other traveling pattern in exactly the right place could reach in there and kill off the blinker. Or some kind of edge-shooter, I suppose.

It's just not very likely that the reaction will be clean, so then there will be new and different junk to clean up... and the blinker will probably even have to happen to be in the right phase for it to work:

Code: Select all

x = 58, y = 20, rule = B3/S23 12b2o$12bo39b2o$10bobo39bo$6b2o2b2o38bobo$6b2o38b2o2b2o$46b2o$10bo$o9b o$2o8bo29bo8b3o$b2o37b2o$2o14b2o23b2o$16bo23b2o14b2o$14bobo39bo$14b2o 38bobo$54b2o3$2b2o$2b2o38b2o$42b2o! #C [[ THUMBNAIL AUTOSTART HEIGHT 240 LOOP 40 GPS 5 ]] There's another equally painful problem. The block isn't restored until T=108, and it gets destroyed again by the subsequent reaction at T=125, with destruction probably inevitable by T=120. Run the reaction in LifeHistory and you'll notice that after T=108, the whole southwest corner of the reaction is hiding inside its previous reaction envelope -- there are just two cells at T=106 and T=107 that could possibly be affected by a new catalyst, to reshape that reaction. The new cells at T=123 and up are clearly too late -- catalyzing those locations would amount to rebuilding the block again, and of course it's much less likely the second time around because you've lost a lot of potential places for catalysts. So that southwest mess would probably all have to be cleaned up by catalysts in the northwest, in twenty ticks or less, let's say from T=95 to T=115 but it's probably a narrower window of opportunity. Effects of catalysis only travel at lightspeed, and it's a fair distance across the active reaction to the problem you want to control, so you have to go back in time in this weird way. But if you modify the reaction earlier than about T=95, you'll almost certainly wreck the toad->block restoration reaction, which defeats the whole purpose. So... at least according to my best guess, Bellman or catgl time will be better spent working on other reactions. It's a shame to just throw away that nice-looking transparent block, but two simultaneous probably-insoluble problems are lurking there, and the search space seems to small to compensate for the low probabilities. -- Apologies for the long-winded analysis. Maybe if I've done a good enough job of explaining, some of these tools will be useful in guessing the odds of success for new reactions. Seems like this business needs an instruction manual. Except that it would all be just rules of thumb, with more exceptions than rules: "Tips and Tricks for Conduit Hunters"... Kazyan Posts: 937 Joined: February 6th, 2014, 11:02 pm Re: The Hunting of the New Herschel Conduits Catalysts can be placed before the block reappears; the toad -> block reduction is farily robust. but yeah, it's looking bad for that transparent block. Bellman found this weird catalyst for a Pi. Suppressing the natural pi that would otherwise appear (done with an eater here) moves the reaction a great deal towards the right, although the smoke ends up making the repeat time pretty long if this makes it as a component. Code: Select all #C [[ THUMBNAIL AUTOSTART HEIGHT 400 ZOOM 8 LOOP 200 GPS 40 ]] x = 17, y = 15, rule = B3/S23 8b2o$9bo$9bobo$4b2o4b2o$4bo$6bo$2b4obo$bo4bo$b5o2$b3o$o2bo$2o11b3o$12b o3bo$12b2ob2o!
EDIT: Another catalyst from the search for completeness.

Code: Select all

x = 20, y = 12, rule = B3/S23
5bo$4bobo$5bo2$3b5o$2bo4bo$o2b2o$2obo$3bo13bo$3b2o11b3o$15bo3bo$15b2ob
2o!
Tanner Jacobi

Kazyan
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Re: The Hunting of the New Herschel Conduits

I remembered one of codeholic's finds from a while back that could be useful:

Code: Select all

x = 14, y = 20, rule = B3/S23
5bo$4bobo$3bobo2bo$b3o2b2obo$o3b2o3bo2b2o$b3o2b3o3b2o$3bobo$4bobo$5bo
9$5b3o$5bobo$5bobo! Originally used to improve the pentadecathlon-based MWSS gun, this could also be used for more H-to-G lanes. Tanner Jacobi biggiemac Posts: 504 Joined: September 17th, 2014, 12:21 am Location: California, USA Re: The Hunting of the New Herschel Conduits From that reaction, an almost-reflector at p2. Code: Select all x = 24, y = 28, rule = LifeHistory 10.A$9.A.A$8.A.A2.A$6.3A2.2A.A$5.A3.2A3.A2.2A$.A4.3A2.3A3.2A$2.A5.A.A$3A6.A.A$10.A3$23.A$21.3A$20.A$20.2A7$10.3A3$17.2A$17.A$18.3A$20.A!

(Is a useless discovery, but I am in the process of learning bellman and it could potentially be a route to non-uselessness)
Physics: sophistication from simplicity.

dvgrn
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Re: The Hunting of the New Herschel Conduits

Kazyan wrote:Bellman found this weird catalyst for a Pi. Suppressing the natural pi that would otherwise appear (done with an eater here) moves the reaction a great deal towards the right, although the smoke ends up making the repeat time pretty long if this makes it as a component.
Just for the record, I tried a standard 2-catalyst catgl search on this -- haven't recompiled with all the promising new catalyst options like the ship+eater, of course -- and got surprisingly few results. No clean H-to-Gs or anything, even. I'm running a three-catalyst search now, just for the record, though really I should write a good post-processor before I try to sort through the inevitable drifts of equivalent useless reactions.

Here's the catgl-ready pattern that I started with. Search was from T=30 to T=170, survival required for 79 ticks:

Code: Select all

x = 30, y = 41, rule = LifeHistory
8.2C$9.C$9.C.C$4.2C4.CA$4.C6.D$6.C$2.4C.C$.C4.A$.3C2A2$.2CA$C2.A$2C 11.3A$12.A3.A$12.2A.2A3$12.A4.A$11.A$C17.A$3C16.A$3.C7.A$2.CAD5.A$6.A
13.2A$3.D4.A16.D$3.CA19.AC$3.CA19.AC$3.D4.A2.A2.A2.A2.A4.D3$8.A2.A2.A 2.A2.A3$11.A2.A2.A2.A2.A3$6.3D$7.D7.DAC7.DAC$7.3D6.C9.C$17.3C7.3C$19. C9.C! EDIT: Nothing good that I can see in a three-catalyst search either, using block-eater-eater2-snake-TWIT-boat-tub. Need to add some more catalysts to catgl! simsim314 Posts: 1734 Joined: February 10th, 2014, 1:27 pm Re: The Hunting of the New Herschel Conduits I was exploring a little bit Kazyan's Pi catalyst, and suprisingly enough it's one stubborn reaction that refuses to be too useful. Anyway here are some of my findings: Combining with dvgrn catalyst another H->G: Code: Select all x = 41, y = 41, rule = B3/S23 8b2o$9bo$9bobo$4b2o4b2o12bo$4bo19b3o11b2o$6bo20bo9bobo$2b4obo18b2o5b2o 2bo$bo4bo26bobob2o$b5o28b2obo2bo$39b2o$b3o$o2bo$2o6$35b2o$o34bo$3o27bo
5b3o$3bo26b3o5bo$2b2o29bo$32b2o2$3b2o19b2o$3b2o19b2o10$6b3o$7bo8b2o8b 2o$7b3o6bo9bo$17b3o7b3o$19bo9bo!

Almost finished Pi->G (probably eater will work):

Code: Select all

x = 40, y = 25, rule = B3/S23
8b2o$9bo$9bobo$4b2o4b2o$4bo$6bo$2b4obo$bo4bo$b5o2$b3o$o2bo$2o$13b3o$13bobo$13bobo3$34b2o$34bobob2o$32bobob2obo$25b2o5b2o$26bo$23b3o$23bo!  Pi->C but badly placed - so will work only if new C->X would be found: Code: Select all x = 41, y = 27, rule = LifeHistory 9.2A$10.A$10.A.A25.2A$5.2A4.2A25.A$5.A30.A.A$7.A28.2A$3.4A.A$2.A4.A$2.5A2$2.3A$.A2.A$.2A$14.3A19.2D$14.A.A17.D2.D$14.A.A17.D.D$34.3D5$26. 2A$27.A$24.3A$24.A!

Finally here are some potential starting points for further searches:

Code: Select all

x = 79, y = 257, rule = LifeBellman
4$36.10E$36.10E$22.2A12.10E$23.A12.5E2C3E$23.A.A10.2E2.C4.E$18.2A4.2A
10.2E.C3.2CE$18.A17.2EC3.C.C$20.A16.2EC3.C$16.4A.A$15.A4.A$15.5A2$15.
3A$14.A2.A$14.2A$27.3A$27.A.A$27.A.A6$39.2A$40.A$37.3A$37.A34$24.2A$25.A$25.A.A23.A$20.2A4.2A21.3A$20.A27.A$22.A25.2A$18.4A.A$17.A4.A$17.
5A2$17.3A$16.A2.A$16.2A$29.3A$29.A.A$29.A.A6$41.2A$42.A$39.3A$39.A33$50.6E$50.6E$50.6E$50.6E$24.2A24.6E$25.A24.6E$25.A.A25.3E$20.2A4.2A25.
C2E$20.A30.C.C2E$22.A28.2C.2E$18.4A.A$17.A4.A$17.5A2$17.3A$16.A2.A$
16.2A$29.3A$29.A.A$29.A.A27$50.6E$50.6E$50.6E$50.6E$24.2A24.6E$25.A 24.6E$25.A.A25.3E$20.2A4.2A25.C2E$20.A30.C.C2E$22.A28.2C.2E$18.4A.A$17.A4.A$17.5A32.E2$17.3A$16.A2.A$16.2A$29.3A$29.A.A25.2E$29.A.A26.E$55.2C.E$55.C.CE$57.CE$57.2E$54.5E33$49.7E$49.7E$49.7E$25.2A25.C.2E$
26.A24.2C2.E$26.A.A26.E$21.2A4.2A27.3E$21.A35.2E$23.A31.2C2E$19.4A.A 29.C.C2E$18.A4.A31.C.2E$18.5A34.2E$58.E$18.3A37.E$17.A2.A$17.2A$30.3A
$30.A.A$30.A.A!

EDIT Those two looks remotely useful:

Code: Select all

x = 68, y = 96, rule = LifeBellman
3$32.30E$32.30E$32.30E$33.29E$22.2A9.29E$23.A9.29E$23.A.A7.9E5.15E$
18.2A4.2A7.8E7.14E$18.A14.7E9.13E$20.A18.E10.12E$16.4A.A29.11E$15.A4.
A30.11E$15.5A31.11E$38.2A11.11E$15.3A19.A2.A9.12E$14.A2.A23.A9.11E$14.2A13.A3.A.A5.2A9.10E$28.A.A2.A.A6.2A8.10E$27.A6.A5.A.A9.10E$28.A2.
2A7.2A10.10E$29.5A18.10E$31.A.A18.10E$48.2C2.10E$48.C.C.10E$46.C.C.2C 10E$35.3E6.18E$32.30E$32.30E$32.30E$32.30E33$30.30E$30.30E$30.30E$31.
29E$20.2A9.29E$21.A9.29E$21.A.A7.14E4.11E$16.2A4.2A7.11E7.C10E$16.A 14.10E6.C.C10E$18.A18.3E7.2C.10E$14.4A.A17.2E11.10E$13.A4.A31.10E$13. 5A32.10E$36.2A14.8E$13.3A19.A2.A15.6E$12.A2.A23.A15.5E$12.2A13.A3.A.A 5.2A14.5E$26.A.A2.A.A6.2A13.5E$25.A6.A5.A.A14.5E$26.A2.2A7.2A15.5E$27.5A23.5E$29.A.A22.6E$53.7E$52.8E$48.2C2.8E$33.2E7.3E3.C3.8E$30.6E3. 8E2.2C9E$30.30E$30.30E$30.30E!


Sokwe
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Re: The Hunting of the New Herschel Conduits

simsim314 wrote:Combining with dvgrn catalyst another H->G
This is a nice H->G2 that works with the standard Herschel receiver:

Code: Select all

x = 495, y = 102, rule = LifeHistory
225.2A128.2A128.2A$225.A3.2A124.A3.2A124.A3.2A$96.2A115.2A12.A2.A112.
2A12.A2.A112.2A12.A2.A$96.A3.2A112.A11.4A114.A11.4A114.A11.4A$84.2A
12.A2.A112.A.A127.A.A127.A.A$85.A11.4A114.2A9.2A117.2A9.2A117.2A9.2A$
85.A.A138.A.A127.A.A127.A.A$86.2A9.2A112.2A14.2A112.2A14.2A112.2A14. 2A$97.A.A111.A.A127.A.A127.A.A$82.2A14.2A113.A129.A129.A$82.A.A128.2A
128.2A128.2A$84.A$84.2A$228.2A128.2A128.2A$228.A.A127.A.A127.A.A$99. 2A107.2A20.A107.2A20.A107.2A20.A$99.A.A98.A7.2A20.2A98.A7.2A20.2A98.A
7.2A20.2A$79.2A20.A98.3A127.3A127.3A$71.A7.2A20.2A100.A129.A129.A$71. 3A128.2A128.2A128.2A$74.A$73.2A119.2A128.2A128.2A$195.A129.A129.A$65. 2A128.A.A127.A.A127.A.A$66.A129.2A128.2A128.2A$66.A.A$67.2A3$231.2A 128.2A128.2A$231.A129.A129.A$102.2A92.C35.3A91.C35.3A91.C35.3A$102.A
93.C.C35.A91.C.C35.A91.C.C35.A$67.C35.3A90.3C29.A97.3C29.A97.3C29.A$
67.C.C35.A92.C28.A.A98.C28.A.A98.C28.A.A$67.3C29.A126.A.A2.A124.A.A2. A124.A.A2.A$69.C28.A.A107.2A16.A.A.2A106.2A16.A.A.2A106.2A16.A.A.2A$97.A.A2.A105.2A2.2A9.2A.A.A109.2A2.2A9.2A.A.A109.2A2.2A9.2A.A.A$79.2A
16.A.A.2A109.A.A9.A.A.A113.A.A9.A.A.A113.A.A9.A.A.A$79.2A2.2A9.2A.A.A 114.A7.A.A.2A116.A7.A.A.2A116.A7.A.A.2A$83.A.A9.A.A.A114.2A6.2A120.2A
6.2A120.2A6.2A$85.A7.A.A.2A$85.2A6.2A13$164.2A$164.2A$283.2A$283.2A$35.2A242.A133.2A$35.2A242.3A131.2A$138.2A142.A126.A$137.A.A141.2A126.
3A$138.A164.2A107.A$303.2A106.2A11.A$9.2A412.A.A7.2A$8.A.A120.D291.A.
A7.2A$9.A120.2D25.2A265.A$35.2A92.2D11.2D13.2A$34.A2.A92.D10.2D$2.D
32.2A94.D10.D148.2A$.2D25.2A261.2A$2D11.2D13.2A247.2A142.2A$.D10.2D 263.2A142.2A$2.D10.D259.2A132.2A$170.2A101.2A132.2A$170.2A231.2A$166. 2A235.2A$166.A.A$41.2A125.A$41.2A125.2A$37.2A116.2A$37.A.A115.2A$39.A$39.2A$26.2A125.2A136.D$26.2A125.2A134.3D$290.D130.D$419.3D$24.2A271. 2A121.D$24.2A270.A.A$297.A129.2A$426.A.A$427.A4$289.D2.2D$290.3D$291.
D127.D2.2D$420.3D$421.D!
As I recall, there is an old H->G2 that uses a rectifier, but I think this new one is more compact.
-Matthias Merzenich

A for awesome
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Re: The Hunting of the New Herschel Conduits

simsim314 wrote: Almost finished Pi->G (probably eater will work):

Code: Select all

RLE

In fact it does:

Code: Select all

x = 60, y = 30, rule = B3/S23
4$22b2o$23bo$23bobo$18b2o4b2o27b2o$18bo34bo$20bo30bobo$16b4obo29b2o$
15bo4bo$15b5o2$15b3o$14bo2bo$14b2o$27b3o$27bobo$27bobo3$48b2o$48bobob 2o$46bobob2obo$39b2o5b2o$40bo$37b3o$37bo!

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

dvgrn
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Re: The Hunting of the New Herschel Conduits

A for awesome wrote:
simsim314 wrote: Almost finished Pi->G (probably eater will work)...
In fact it does...
Is there a way to get the pi in there, though, past that southwest eater? Both chiralities of the standard H-to-pi are pretty much hopeless.

simsim314
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Re: The Hunting of the New Herschel Conduits

dvgrn wrote:Is there a way to get the pi in there
Not that I know of. There is an interesting point in this research, the more exploration is done in the area, the easier it becomes to "appreciate" and find new conduits.

For example I've found Pi->C but not the Pi part nor the C part is useful in their location (although there is plenty of space in both sides), because of the current knowledge of X->Pi and C->X. The more we explore the possibilities and the more we have such "half conduits", the more pieces of the puzzle we got to place them all together into something useful.

I've also posted Pi->"edgy" Honey farm for example, but we don't have too much research on that one as well.

It feels like if we could collect just large enough amount of these "almost" conduits, we could combine them together into much more "smooth" conduit collection.

Kazyan
Posts: 937
Joined: February 6th, 2014, 11:02 pm

Re: The Hunting of the New Herschel Conduits

The person who finds a tight-fit Pi-to-X is going to have so many conduits to their name, at the rate Pi stuff is showing up.

Code: Select all

x = 15, y = 13, rule = B3/S23
2o$bo$bobo9b2o$2b2o9b2o6$2o$2o5bo$6b3o4b2o$8bo4b2o! EDIT: It's a real kick in the teeth that this doesn't fit with anything in the elementary conduit collection. Code: Select all x = 42, y = 22, rule = LifeHistory$11.2B7.2A$9.5B5.B2AB$9.5B6.2B$8.7B4.2B$8.7B2.6B$8.7B2.7B$8.8B.7B$6. 19B$5.23B3.2B2.2B$6.32BD$6.32BDBD$6.5B3C13B2A9B3DB$7.4BC.C13B2A10B.D$5.6BC.C25B$3.A.2A5B.11B2.2B.3B.B$.3AB2AB2.B3.10B$A4.B10.8B$.3A.2A11. 4B$3.A.A$3.A.A$4.A!
Tanner Jacobi

dvgrn
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Re: The Hunting of the New Herschel Conduits

simsim314 wrote:EDIT Those two looks remotely useful...
I liked one of them enough to run a two-catalyst catgl search on it, anyway -- T=12 to T=200, survival time 49 ticks to avoid the arbitrary MAXGENS limit of 250:

Code: Select all

x = 40, y = 28, rule = LifeHistory
8.2C$9.C$9.C.C$4.2C4.CA$4.C5.2D$6.C2.D$2.4C.CD$.C4.CD$.5CD$5.D4.A13. 2A$.3CD18.A2.A$C2.C23.A$2C5.A2.A4.A3.A.A5.2A$14.A.A2.A.A6.2A$13.A6.A
5.A.A$4.A2.A2.A3.A2.2A7.2A$15.5A$17.A.A$4.A2.A2.A2.A20.2A$C31.2DC.C2D$3C29.C.C.3C$3.C4.A2.A2.A2.A2.A2.A2.A5.2C5.C$2.CAD33.2C$6.A$3.D4.A2.A
2.A2.A2.A$3.CA19.2A$3.CA18.D2CD$3.D4.A2.A2.A2.A2.A! A probably-unstoppable LOM shows up about T=75, so something good has to be done before that. There's another new H-to-G, at least: Code: Select all x = 41, y = 40, rule = B3/S23 18b2o$18bobo$20bo$20b2o$22bo11b2o$20b3o11b2o$19bo$19b2o$36bo$35bobo$2o 34bo$bo35b3o$bobo35bo$2b2o$14b2o$14b2o5$2o$bo$bobo$2b2o5$37b2o$37bo$2b o35b3o$2bobo35bo$2b3o29bo$4bo28bobo$32bobo2bo$14b2o16bobob2o$14b2o2b2o 9b2obobo$18bobo9bobobo$20bo7bobob2o$20b2o6b2o! #C [[ THUMBNAIL AUTOSTART THEME 7 LOOP 350 ]]
Seems like a lot of catalyzing for one output glider, but I suppose if we keep going like this we'll eventually have an H-to-G for every possible nearby output lane relative to a Herschel, which will guarantee reasonably compact solutions to new connection problems.

On the other hand, a couple of Snarks go a long way these days to getting new output lanes, and this definitely as big as two Snarks...!

Extrementhusiast
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Re: The Hunting of the New Herschel Conduits

Relatively simple bookend-to-glider:

Code: Select all

x = 31, y = 17, rule = B3/S23
7b2o$7bo$5bobo$4bobo$2o3bo$2o5$29b2o$29b2o2$8b3o$8bobo$7bo2bo$7b2o!  I Like My Heisenburps! (and others) Kazyan Posts: 937 Joined: February 6th, 2014, 11:02 pm Re: The Hunting of the New Herschel Conduits Let's take Bellman to the Pi-Queen Bee converter; there's a lot of room to work with after the QB hits one of its own beehives. Using Bellman One allows extraction of a glider, but it's hard to tame the rest of the mess with manual catalyst placement. Code: Select all x = 30, y = 23, rule = B3/S23 2o18b2o$bo18bo$bobo14bobo$2b2o5bobo6b2o$9bobo$9b3o10$23b2ob2o$23b2obo
2bo$26bob2o$26bo$25b2o$22bobo2b2o$22b2o2bo2bo$27b2o!
Tanner Jacobi

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Posts: 80
Joined: March 13th, 2012, 3:49 pm

Re: The Hunting of the New Herschel Conduits

On a variation on the same theme, an eater can intercept the queen bee earlier. Looks hard to finish, though...

Code: Select all

x = 27, y = 46, rule = B3/S23 6bo$6b3o$9bo$8b2o15$10b3o$10bobo$3b2o5bobo6b2o$2bobo14bobo$2bo18bo2bo$b2o18b4o2$23b4o$22bo3bo$22b2o3$2o19b2o$2o19b2o10$17b3o$8b2o8bo$9bo6b3o$6b3o$6bo! Kazyan Posts: 937 Joined: February 6th, 2014, 11:02 pm Re: The Hunting of the New Herschel Conduits Here we go! It's a big clunky H-to-G, but the area near the yellow eater has enough going on that we might be able to get a Herschel out of it. Code: Select all x = 43, y = 56, rule = LifeHistory 2.4B8.C8.7B$3.4B7.3C6.6B$4.4B9.C4.2B3D2B$5.4B7.2C4.4BD2B$6.4B6.4B.4B 3DB$7.4B7.11B$8.4B5.12B$9.4B4.12B$10.4B3.11B$11.4B3.7B$12.4B2.8B$13.
14B$12.16B$9.B.17B.B$8.2CB.17B2C$8.2C19B2C$9.2B.18B$12.13B2.5B$14.10B 6.2C$14.9B7.C3.C$14.9B8.4C$15.8B$9.2C5.8B5.4C$10.C5.9B4.C2.C$10.C.CB 2.11BC.C$11.2CB.3BDBD6B2C$13.5BDBD6B$13.5B3D6B$7.2C4.14B$8.C5.13B$8.C .CB4.11B$9.2C16B2.3B9.2E$.2C7.23B.B6.E$C2.C2.2C3.25B2.BE.E$.2C2.C.C4. 25B.B2E$3.2C.B6.26B$3.C2.2B.30B$2C.C.34B$C2.C.2C31B$2.2C.2C31B$6.2B. 29B$9.28B$9.28B$10.26B$12.25B$12.24B$13.17B.4B$14.15B3.3B$14.4B.B.6B$
13.4B4.6B$12.4B5.5B$11.4B4.6B$10.4B5.2C.B$9.4B7.C$8.4B5.3C$7.4B6.C!
Tanner Jacobi

simsim314
Posts: 1734
Joined: February 10th, 2014, 1:27 pm

Re: The Hunting of the New Herschel Conduits

Not sure if this proto H->Pi known/useful:

Code: Select all

x = 7, y = 13, rule = B3/S23 2o$2o2$4o$o3bo$3b2o2$2bo$3b2o$4b2o$6bo$b5o$4bo! #C [[ THUMBNAIL AUTOSTART THEME 1 GPS 4 LOOP 22 ]]

A for awesome
Posts: 1952
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: The Hunting of the New Herschel Conduits

simsim314 wrote:Not sure if this proto H->Pi known/useful:

Code: Select all

viewer
This, at least, stops the catalysts from getting destroyed:

Code: Select all

x = 18, y = 13, rule = B3/S23
2o$2o$13bo$4o7b3o$o3bo5bo$3b2o5b2o4b2o$16bo$2bo11bobo$3b2o9b2o$4b2o$6b
o$b5o$4bo!

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

Sphenocorona
Posts: 484
Joined: April 9th, 2013, 11:03 pm

Re: The Hunting of the New Herschel Conduits

simsim314 wrote:Not sure if this proto H->Pi known/useful
There is at least one conduit (Pi->B) which can accept that output glider. Here's an example Rx315 using the H->Pi you described:

Code: Select all

#C [[ AUTOSTART THUMBNAIL LOOP 400 ]] x = 91, y = 50, rule = LifeHistory 44.C$35.2C5.3C$29.2C5.C4.C$30.C5.C.CB2.C3.2C$17.A11.C7.C.C2B.C2.2C10. 2C$17.3A9.2C7.C2B.2C14.C$20.A9.B6.3B4.4C7.BC.C$7.2A10.2A9.3B4.2B5.C3. C3.2C.B2C$8.A10.5B5.6B.4B6.B2C2.B2C2B$8.A.AB9.4B3.13B5.2B4.4B$9.2AB. 3B4.6B2.16B.4B.6B$11.7B.9BD3B2C21B$11.17B2D2B2C16B3D2B.2B$12.17B2D21B D4B2C$11.18BD20B3D2B.B2C$9.19BD21B2D2BD2.B$7.18B.B3.13B.4B.2B3D2B$7. 2BC13B7.7B.B6.4B.2BD4B$6.3BCBC4B.6B23.12B$7.2B3C4B2.B.5B22.12B$6.5BC 4B7.2A23.12B$5.10B8.A25.7B.4B$4.4B16.3A23.6B2.4B$4.3B19.A23.7B2.4B$2. 4B44.7B3.4B$2.2A46.8B.6B22.B$3.A46.16B20.3D$3A47.17B19.BDB$A49.18B17. 2B3D$51.18B16.5B$54.11B.4B15.6B$53.13B.4B5.2A7.6B$52.20B3.B2AB6.5B$50.B.21B3.3B5.6B$46.2A.2A23B3.B7.6B$47.A.A.B.28B3.7B$45.A.A.A.A38B$45.2A3.2A.B.35B$54.32B2A3B$54.32B2A2B$53.36B$51.A35B$49.3A2.7B.22B2. 2B$48.A5.7B3.7B.8B.2B2.B2AB$48.2A4.7B4.5B5.6B5.2A$54.5B6.4B8.4B$52.2A B.2B7.4B7.B2A2B$51.A.AB10.B2AB8.2A$51.A14.2A$50.2A! There are probably other conduits which can replace the B->H I used in the middle - that particular one is just simple and easy. Kazyan Posts: 937 Joined: February 6th, 2014, 11:02 pm Re: The Hunting of the New Herschel Conduits New Pi catalyst. Tinkering yielded two Pi-to-G conduits--one of which fits with nothing and one of which only fits with one. Still looking for better. Code: Select all x = 71, y = 79, rule = B3/S23 46bo$45bobo$45bobo$17bo25b3ob2o$15b3o24bo$14bo28b3ob2o15bo$14b2o29bob 2o13b3o$61bo$40b2o19b2o$2ob2o35bo2b2o$bobo2bo34bobo2bo$bobob2o33b2obob
2o$2b2o7b3o3b2o25bo6b3o$5b2o4bobo3b2o26b2o4bobo$2b3o2bo3bobo28b3o2bo3b obo$bo3b2o34bo3b2o$2bo2bo36bo2bo$3bobo37bobo$4bo39bo15$7bo49bo$7b3o45b 3o$10bo43bo$9b2o43b2o3$20b2ob2o15b2ob2o$18bo2bobo17bobo2bo$18b2obobo
17bobob2o$6b2o13b2o19b2o13b2o$6b2o10b2o25b2o10b2o$17bo2b3o19b3o2bo$18b
4B.7B$4.2B3C4B2.B2D2BD$3.5BC4B4.3D$2.10B6.D$.4B$4B! It has the same issues as that H->B, but this has an envelope different enough from both it and R64 that it might actually be better than having an R64 in some niche situations where another conduit is very close but the repeat time does not need to be very short. Kazyan Posts: 937 Joined: February 6th, 2014, 11:02 pm Re: The Hunting of the New Herschel Conduits I'm trying catalysts for the century now. Here's one that's mediocre, but I got a C-to-C out if it. Not chainable and nothing hooks up to the output, but worth keeping here if a compatible C-to-whatever shows up. (Right now I am catalyzing only one side of the century.) Code: Select all x = 89, y = 48, rule = LifeHistory 9.3D$9.D.D47.3D$8.D2.D47.D.D$8.2D48.D2.D14.2C$58.2D16.C$2A24.2C49.C$2A14.3D6.C.C22.2A24.2C$16.D.D7.C23.2A14.3D6.C2.2C$16.D2.D46.D.D7.C3.C$18.2D4.5C37.D2.D7.3C$24.C4.C38.2D4.3C$26.2C.C44.C2.C$4.2A21.C.2C45. 2C$5.A21.C26.2A$2.3A21.2C27.A$2.A49.3A32.2A$52.A34.A$85.A.A$85.2A11$
83.2A$83.A.A$85.A$54.3C28.2A$56.C$54.3C$26.2C$16.3C6.C.C$16.C.C7.C$16.C2.C$18.2C4.5C$24.C4.C38.2A$26.2C.C23.2A7.2A5.A$27.C.2C23.A7.2A2. 3A$27.C23.3A12.A$26.2C23.A15.2A$68.A$66.A$66.2A!
Why can't they ever just have a clean, out-of-the-way output?

EDIT: C-to-G. Not much, but you take what you can get.

Code: Select all

x = 31, y = 20, rule = LifeHistory
16.4B$9.2A4.4B$8.B2AB2.4B$9.3B.4B$8.B.B.4B$7.8B$7.7B$5.B.6B4.3B$4.17B
$3.19B$.21B4.2C$16B3C5B.C.C$.15BCBC7BC$3.13BC2BC4B$5.7B.5B2C2B.B5C$5. B.2B4.9B.BC4.C$4.2A12.3B5.2C.C$4.A13.3B6.C.2C$5.A13.B7.C$4.2A20.2C! Tanner Jacobi Sokwe Moderator Posts: 1626 Joined: July 9th, 2009, 2:44 pm Re: The Hunting of the New Herschel Conduits Kazyan wrote:Why can't they ever just have a clean, out-of-the-way output? They can. You just need to have extremely good luck: Code: Select all x = 40, y = 43, rule = LifeHistory 28.2A$28.A$30.A$29.2A$2.2A15.3D6.A$2.2A15.D.D7.4A$19.D2.D9.A$21.2D4.
3A$27.A2.A$29.2A$7.2A$8.A$5.3A$5.A3$2A$.A33.2A$.A.A31.2A$2.2A7$36.2A$
36.A.A$38.A$7.3C28.2A$9.C$7.3C7$6.2A$7.A6.2A$4.3A7.A$4.A7.A.A$12.2A! -Matthias Merzenich Kazyan Posts: 937 Joined: February 6th, 2014, 11:02 pm Re: The Hunting of the New Herschel Conduits Sokwe wrote:They can. You just need to have extremely good luck: I'm flabbergasted as to how I missed that. Totally flummoxed. Bamboozled, even. This yields at least three new conduits: an Lx567, F654, and Rx695. Unfortunately, those are really big numbers and the conduits are large, but they're here and they're new! Code: Select all x = 269, y = 92, rule = LifeHistory 242.2A$226.2A14.A$215.2A8.B2AB10.BA.A$138.2B4.2A67.2B2AB7.4B7.2B.B2A$136.5B2.A.A67.4B8.4B6.5B$135.8B2A61.2A5.6B5.5B4.7B4.2A$135.7B.B61.B2A B2.2B.8B.7B3.7B5.A$135.6B.B63.2B2.22B.7B2.3A$136.2BA5B63.35BA$136.BAB
A5B60.36B$41.B94.BABA4B60.2B2A32B$40.3D94.BA5B59.3B2A32B$40.BDB91.3B. 6B60.35B.B.2A3.2A$39.2B3D87.13B60.38BA.A.A.A$39.5B87.10B.B60.7B3.28B. B.A.A$39.6B83.14B61.6B7.B3.23B2A.2A$39.6B83.14B62.6B5.3B3.21B.B$39.5B
83.16B61.5B6.B2AB3.20B$38.6B84.15B60.6B7.2A5.4B.13B$39.6B83.14B61.6B
15.4B.11B$38.7B84.14B61.5B16.18B$38.6B87.13B60.3D2B17.18B$38.6B87.13B 61.BDB19.17B$38.6B86.14B61.3D20.16B$37.8B86.13B.2B59.B22.6B.8B$38.8B
83.3B.15BD81.4B3.7B$37.9B83.2A2.15BDBD80.4B2.7B$37.9B84.A3.B.12B3DB
80.4B2.6B$37.10B80.3A5.15BD82.4B.7B$37.5B2A3B80.A8.13B85.12B$37.5B2A 4B87.13B87.12B$37.11B87.13B88.12B$37.4BD7BA.2A82.6BD6B89.4BD2B.4B$39.
B3D4B2.2A.A80.2AB.3B3D3B.B2A88.2B3D2B.3B$39.D2B2D2B86.A.AB2.BD2B2DB2. BA.A88.D2B2DB2.2B$39.5B88.A6.6B5.A88.6B3.B$39.5B87.2A6.6B5.2A87.5B$
38.6B94.6B94.6B$36.9B91.9B91.9B$35.11B89.11B89.11B$34.13B87.13B87.13B$33.15B85.15B85.15B$32.16B84.16B84.16B$33.17B5.2A76.17B5.2A76.17B5.2A
$33.18B4.A77.18B4.A77.18B4.A$32.20B5.A74.20B5.A74.20B5.A$30.2B.19B4. 2A72.2B.19B4.2A72.2B.19B4.2A$29.2A15B3D5B.A73.2A15B3D5B.A73.2A15B3D5B
.A$29.2AB.13BDBD7B4A69.2AB.13BDBD7B4A69.2AB.13BDBD7B4A$30.B.14BD2BD4B
5.A70.B.14BD2BD4B5.A70.B.14BD2BD4B5.A$35.7B.5B2D2B.B3A78.7B.5B2D2B.B 3A78.7B.5B2D2B.B3A$36.3B4.9B.BA2.A78.3B4.9B.BA2.A78.3B4.9B.BA2.A$34. 5B4.9B4.2A76.5B4.9B4.2A76.5B4.9B4.2A$34.2AB7.7B83.2AB7.7B83.2AB7.7B$35.A9.6B84.A9.6B84.A9.6B$32.3A9.10B13.2A63.3A9.10B13.2A63.3A9.10B13.
2A$26.B5.A11.11B3.3B6.A58.B5.A11.11B3.3B6.A58.B5.A11.11B3.3B6.A$26.2B
13.14B2.5B2.BA.A58.2B13.14B2.5B2.BA.A58.2B13.14B2.5B2.BA.A$26.3B11. 23B.B2A59.3B11.23B.B2A59.3B11.23B.B2A$26.4B8.27B61.4B8.27B61.4B8.27B$27.4B6.28B62.4B6.28B62.4B6.28B$12.3B13.4B5.27B48.3B13.4B5.27B48.3B13.
4B5.27B$12.4B7.2A4.4B3.27B49.4B7.2A4.4B3.27B49.4B7.2A4.4B3.27B$13.4B
5.B2AB4.4B.27B51.4B5.B2AB4.4B.27B51.4B5.B2AB4.4B.27B$14.4B5.3B5.29B 54.4B5.3B5.29B54.4B5.3B5.29B$15.4B3.B.B6.31B53.4B3.B.B6.31B53.4B3.B.B
6.31B$16.4B.6B4.32B53.4B.6B4.32B53.4B.6B4.32B$17.10B2.34B54.10B2.34B
54.10B2.34B$9.2A7.45B46.2A7.45B46.2A7.45B$10.A8.42B.B2A45.A8.42B.B2A
45.A8.42B.B2A$10.A.AB6.39B3.BA.A44.A.AB6.39B3.BA.A44.A.AB6.39B3.BA.A$
11.2AB.3B2.38B7.A45.2AB.3B2.38B7.A45.2AB.3B2.38B7.A$13.21B3D18B10.2A 46.21B3D18B10.2A46.21B3D18B10.2A$13.23BD17B59.23BD17B59.23BD17B$14. 20B3D14B63.20B3D14B63.20B3D14B$13.38B62.38B62.38B$11.39B61.39B61.39B$
9.19B3.17B61.19B3.17B61.19B3.17B$9.2BC15B5.14B63.2BC15B5.14B63.2BC15B 5.14B$8.3BCBC4B.7B7.13B62.3BCBC4B.7B7.13B62.3BCBC4B.7B7.13B$9.2B3C4B 2.6B7.7B.5B63.2B3C4B2.6B7.7B.5B63.2B3C4B2.6B7.7B.5B$8.5BC4B3.6B6.2A7.
3B63.5BC4B3.6B6.2A7.3B63.5BC4B3.6B6.2A7.3B$7.10B6.4B7.A6.2A64.10B6.4B 7.A6.2A64.10B6.4B7.A6.2A$6.4B12.B2A2B4.3A7.A64.4B12.B2A2B4.3A7.A64.4B
12.B2A2B4.3A7.A$5.4B14.2A.B2A2.A7.A.A63.4B14.2A.B2A2.A7.A.A63.4B14.2A .B2A2.A7.A.A$4.4B18.BA.A.A7.2A63.4B18.BA.A.A7.2A63.4B18.BA.A.A7.2A$4. 3B22.A.2A71.3B22.A.2A71.3B22.A.2A$2.4B23.A72.4B23.A72.4B23.A$2.2A24. 2A72.2A24.2A72.2A24.2A$3.A99.A99.A$3A97.3A97.3A$A99.A99.A!
Tanner Jacobi

Sokwe
Moderator
Posts: 1626
Joined: July 9th, 2009, 2:44 pm

Re: The Hunting of the New Herschel Conduits

Kazyan wrote:This yields at least three new conduits: an Lx567, F654, and Rx695.
There's also this F592:

Code: Select all

x = 67, y = 87, rule = LifeHistory
34.2A$33.B2AB$34.2B$29.B3.2B$28.2AB.4B18.2B$28.2A8B10.4B2.2B$29.B.B2A
6B2.2B2.10B$32.2A15BD6B$32.17BD6B$28.21B3DB2AB$28.23BDB2AB$27.2A27B$
27.2A14B.B5.6B$28.B.11B11.B2.B$30.10B14.2B$31.12B10.3B$30.14B8.4B$31. 13B7.4B$31.13B6.4B$33.2B.8B5.4B$37.7B4.4B$37.7B3.4B$38.6B2.4B$36.B. 11B$35.13B$30.2A3.13B$31.A2.14B$31.A.A7BD6B$32.2A.5B3D3B.B2A$37.2BD2B 2DB2.BA.A$39.6B5.A$39.6B5.2A$38.6B$36.9B$35.11B$34.13B$33.15B$32.16B$
33.17B5.2A$33.18B4.A$32.20B5.A$30.2B.19B4.2A$29.2A15B3D5B.A$29.2AB. 13BDBD7B4A$30.B.14BD2BD4B5.A$35.7B.5B2D2B.B3A$36.3B4.9B.BA2.A$34.5B4. 9B4.2A$34.2AB7.7B$35.A9.6B$32.3A9.10B$26.B5.A11.11B3.B$26.2B13.14B2.
3B$26.3B11.20B$12.B13.4B8.23B.B$12.2B13.4B6.25B2A$12.3B13.4B5.25B2A$12.4B7.2A4.4B3.27B$13.4B5.B2AB4.4B.28B$14.4B5.3B5.27B2.B$15.4B3.B.B6.
31B$16.4B.6B4.32B$17.10B2.34B$9.2A7.45B$10.A8.42B.B2A$10.A.AB6.39B3.B A.A$11.2AB.3B2.38B7.A$13.21B3D18B10.2A$13.23BD17B$14.20B3D14B$13.38B$11.39B$9.19B3.17B$9.2BC15B5.14B$8.3BCBC4B.7B7.13B$9.2B3C4B2.6B7.7B.5B$8.5BC4B3.6B6.2A7.3B$7.10B6.4B7.A6.2A$6.4B12.B2A2B4.3A7.A$5.4B14.2A.B 2A2.A10.A$4.4B18.BA.A.A9.2A$4.3B22.A.2A$2.4B23.A$2.2A24.2A$3.A$3A$A!
And let's not forget this elegant H->Pi->C->B->Pi->B->H:

Code: Select all

x = 78, y = 107, rule = LifeHistory
58.2B2.2B2.B$56.D11B$54.DBD12B2.B$53.B3D9B2AB.B2A$54.D11B2A3B2A$56. 14B.B$58.4B.7B$59.4B.7B$60.12B$61.11B$62.9B.3B$63.12B$60.2B.11B2A$59. 2A13B2A$59.2AB.10B.B$60.B2.10B$63.9B$62.10B$61.11B$60.11B$59.13B$58. 15B$57.19B$56.19B2A$55.4B.15B2A$54.4B.17B$53.19B$52.19B$51.20B$50.20B$49.24B$32.A15.4B.20B$32.3A5.2A5.4B3.20B$35.A3.B2AB3.4B3.22B$34.2A4.
3B2.4B2.24B$34.5B2.B2.30B$36.7BD21B.10B$35.2A7BD13B.7B2.2B4.2A$35.2A
3B3DB2D12B2.3B.B4.B4.A$36.B.2BDB3D13B4.2B2A3.2A4.3A$38.2BDB2D13B4.BA
2.A4.A6.A$36.2B.6B.4B12.3A4.A$35.2A7B3.2B20.2A$34.B2A7B3.3B11.A.2A$
34.10B4.A2B.2A7.2A.A$32.2AB.8B3.A.A2B.A$31.A.AB.9B2.2AB2.A$31.A4.5BD 2B7.A$30.2A4.4B3D2B2.5A.A$34.2AB.BD2B2DB2.A4.A.A$33.A.AB2.6B3.A2.A2.A
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-Matthias Merzenich