## The Hunting of the New Herschel Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Extrementhusiast
Posts: 1837
Joined: June 16th, 2009, 11:24 pm
Location: USA

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

R back end + single eater = surprisingly clean Herschel:

Code: Select all

x = 24, y = 31, rule = LifeHistory
23.A$21.3A$20.A$20.2A12$19.C$18.3C$18.C8$15.3D$17.D$2.2A12.3D$.A.A$.A$2A!

Unfortunately, I can't find a way to clean up the debris. (Modifying the B to produce something other than the usual block seems to be one of the few courses of action.) Of course, this is rendered moot by the fact that there isn't any input that works with this, aside from perhaps a glider hitting an object.
I Like My Heisenburps! (and others)

gmc_nxtman
Posts: 1149
Joined: May 26th, 2015, 7:20 pm

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

Might periodic conduits become useful in self-constructing circuitry, now that there are a plethora of small oscillator seeds?

dvgrn
Moderator
Posts: 6843
Joined: May 17th, 2009, 11:00 pm
Contact:

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

gmc_nxtman wrote:Might periodic conduits become useful in self-constructing circuitry, now that there are a plethora of small oscillator seeds?
Periodic conduits could certainly be used. For example, simsim314 posted some interesting ideas a while back, about using oscillating components to assist in generating gliders for efficient universal construction arms.

It seems clear that hundreds or thousands of periodic elementary conduits could be found, with different spacetime position of the outputs from anything that can be done with stable catalysts. Since there are so many more options, quite possibly periodic components might someday turn out to help build a more efficient construction arm or data storage device than we have right now.

I'm not doing any research in that area myself, because of the extra complexity required by oscillators -- e,g, constructing them so that they're guaranteed to be synchronized to a specific phase, and then designing data flows and circuits that take advantage of those components and never allow the signals to get disastrously out of sync.

Even if a periodic circuit is smaller and faster, it won't necessarily have a cheaper construction recipe -- and it seems as if it will almost certainly take a lot more time to find that construction recipe in practice.

We're quite close to being able to write an automated compiler for arbitrary Spartan circuitry in any orientation. Calcyman has done this already for two-arm construction recipes, though it's probably in need of a few updates now based on recent discoveries.

The single-arm case is harder to handle, but a compiler script could certainly be written this year if someone had the time and inclination to solve the last few problems, which mostly have to do with automatically picking a construction order that's reasonably close to optimal.

A compiler for periodic circuitry isn't entirely out of the question, but the construction-order problem inevitably gets much worse. Besides the synchronization problem, all but the most trivial oscillators are significantly larger than their Spartan catalyst counterparts, so it's harder to work around them to construct other nearby objects.

Then... well, oscillators generally have to be constructed from seeds, so any object that overlaps a seed constellation's location will have to be constructed after the oscillator is present -- even if the object is awkwardly placed behind the oscillator.

I think very little work has been done yet on stringing together slow-salvo recipes for oscillators that have the smallest possible reaction envelope, and the oscillator as near as possible to the edge of the envelope. If we had "edgy" recipes for every orientation of an oscillator, the problem would reduce back down the the same order of magnitude as Spartan circuit constructions. But we're mostly not anywhere near there yet.

It has turned out that a simple stable universal construction arm and data-storage unit can be really ridiculously small -- under 400 ON cells for the linear propagator, and there's some hope that that can be reduced further. It's a little difficult for me to imagine that adding oscillators would allow for a significantly simpler design or shorter construction recipe, all things considered.

... I'm usually wrong, though, especially if I say things like this that make people want to prove me wrong. Please go right ahead, if you're interested. Whether it turns out to be radically more efficient or not, periodic self-constructing circuitry would be a wonderful thing to see!

A for awesome
Posts: 2063
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

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

Just realized that 1/2 of the p184 gun qualifies as a HRx113H':

Code: Select all

x = 35, y = 39, rule = LifeHistory
15.4B$16.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$23.4B6.2A$23.4B6.A$
23.5B2.BA.A$22.7B.B2A$22.9B$22.9B$21.9B$19.10B$18.4B2D4B.2B$16.6BD2B 2D5B$16.7B3D6B$15.9BD8B$14.18B$14.17B$15.15B$14.16B$12.17B$10.19B$10.
2BC16B$9.3BCBC4B.10B$10.2B3C4B.11B$9.5BC4B2.10B$8.10B4.8B$7.4B11.6B$
6.4B12.6B$5.4B14.4B$4.4B13.5B$3.4B14.2A$2.4B16.A$.4B14.3A$4B15.A!

Not sure if it connects to anything, though.
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: 487
Joined: April 9th, 2013, 11:03 pm

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

Here's a very simple periodic conduit that does something useful we haven't gotten a stable conduit to do quickly yet:

p2 HWSS-to-G using transparent blinker (repeatable after 77+2n generations):

Code: Select all

x = 18, y = 58, rule = LifeHistory
9.2C$8.3C$8.3C$8.3C$8.2C.C$9.3C$10.C32$7.BCBC3B$7.4BC2B$7.C3BC2B$7.C
3BC2B$7.4BC2B$7.BC2BC2B2.B$7.2B3C2B.2B$7.10B$7.10B$7.9B$7.8B$6.8B$5. 9B$4.10B.2B$4.12B2C$4.5BC4B.B2C$2.2CB.3BC4B2.B$.C.CB.3BC3B$.C4.6B$2C
7.2B!

Scorbie
Posts: 1448
Joined: December 7th, 2013, 1:05 am

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

Nice! Another new p2-odd discovery, then. I'm not sure how small/large the spartan one will be if it is found, but I think this one is super easy to build .
Best wishes to you, Scorbie

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

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

A smaller and faster, but less spartan version of PF81H, in the middle. Version from the conduit collection on the left. The green part can be removed if repetition time isn't critical, on the right:

Code: Select all

x = 161, y = 38, rule = LifeHistory
7.2C62.2C62.2C$8.C6.2C55.C6.2C55.C6.2C$8.C.C4.2C55.C.C4.2C55.C.C4.2C$9.2C62.2C62.2C$5.C63.C63.C$5.3C61.3C61.3C$8.C63.C63.C$7.2C4.D57.2C4.D 57.2C4.D$13.2D15.D46.2D15.D46.2D15.D$15.D14.D.D46.D14.D.D46.D14.D.D$
14.2D3.2C9.3D45.2D3.2C9.3D45.2D3.2C9.3D$19.2C11.D50.2C11.D50.2C11.D4$
31.2C59.A3.2A$8.3E16.C3.2C39.3E16.A.A3.A38.3E$10.E15.C.C45.E15.A.A3.A
41.E$8.3E14.C.C44.3E16.A3.A40.3E$25.C60.2A4.4A.A$24.2C60.A.A7.A.A$88.
A3.2A2.A.A$88.2A2.2A3.A5$79.2C62.2C$80.C63.C$80.C.2C60.C.2C$75.C2.C.C 2.C55.C2.C.C2.C$2.2C71.4C.2C57.4C.2C$.C.C75.C63.C$.C75.C.C61.C.C$2C 75.2C62.2C2$13.2C$13.2C!  Sphenocorona Posts: 487 Joined: April 9th, 2013, 11:03 pm ### Re: The Hunting of the New Herschel Conduits While trying to find the failed conduit where I first noticed an edgy Pi producing mechanic (due to the talk about such outputs on the unsure discoveries thread), I accidentally found yet another variant of PF81H where the FNG cleans up some junk. But this one's weird, because the other two catalysts are just two blocks, one of which is transparent: Code: Select all x = 45, y = 45, rule = LifeHistory 40.2E$40.E$37.BE.E$34.2E.B2E$33.B2E2B$34.4B$35.2B$7.2A25.2EB$8.A6.2A 16.B2E6B$8.A.AB.2B2AB15.9B$9.2AB.4B16.10B$5.A4.8B14.11B$5.3A3.9B11. 13B$8.A2.9B10.15B$7.2A.3BD7B2.2B2.17B$7.6B2D15BD10B$9.6BD14BDBD4B.3B$
7.7B2D3B2C9B3D4B$6.13B2C11BD4B$6.30B$5.12B.2B.3B.4B$5.11B8.4B$6.14B3. 4B$8.3C15B$8.2BC14B$7.B3C13B$5.18B$4.18B$4.17B$4.16B$4.16B$.18B$2C15B$2C16B$18B$2.16B$.17B$.17B$2.15B$2.9B.5B$4.B3.B4.3B$14.B$13.3B$13.B2A
B$14.2A! Scorbie Posts: 1448 Joined: December 7th, 2013, 1:05 am ### Re: The Hunting of the New Herschel Conduits @Sphenocorona That's great! So we have a spartan variation of that conduit! So If one's concern is constructibility, one can use your variation. If one's concern is repeat time, one can use simeks' variation (which is also pretty brand new, two posts above.) If one's concern is both, then I guess the original one could be used as a compromise between the two. Best wishes to you, Scorbie dvgrn Moderator Posts: 6843 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: The Hunting of the New Herschel Conduits Scorbie wrote:@Sphenocorona That's great! So we have a spartan variation of that conduit! So If one's concern is constructibility, one can use your variation. If one's concern is repeat time, one can use simeks' variation (which is also pretty brand new, two posts above.) If one's concern is both, then I guess the original one could be used as a compromise between the two. There you go getting my hopes up again. The problem with the old PF[x]81H is that when it combines with HF95P, you have to weld two eaters together so it's not Spartan any more. This Spartan version of PF[x]81H doesn't seem to help too much at the moment. Now that the transparent block is in place, I don't see a single pi output in the current ECC that can be attached to that input. Have I missed something good here? My conclusion is the same as in the other thread, I guess: when a conduit is found with an output that can be used here, that conduit will be the really awesome discovery. Scorbie Posts: 1448 Joined: December 7th, 2013, 1:05 am ### Re: The Hunting of the New Herschel Conduits dvgrn wrote:The problem with the old PF[x]81H is that when it combines with HF95P, you have to weld two eaters together so it's not Spartan any more. My conclusion is the same as in the other thread, I guess: when a conduit is found with an output that can be used here, that conduit will be the really awesome discovery. Well, turns out that we already have that super awesome conduit, namely HT75P: (EDIT: Oh, you mean the conduit that works with Sphenocorona's variant. Well, this doesn't work, but that doesn't mean HT75P is not super awesome.) Code: Select all x = 54, y = 42, rule = LifeHistory .2A$2.A$2.A.AB$3.2AB$5.3B19.2A$5.4B19.A6.2A$6.4B.B16.A.AB.2B2AB$7.7B
8.A6.2AB.4B$8.6B6.3A2.A4.8B$8.2B3C2B4.A5.3A3.9B$8.2BC4B4.2A7.A2.9B$8.
B3C4B.4B6.2A.3BD7B2.2B2.2B$8.11B8.6B2D15BD$8.12B9.6BD14BDBD$8.12B7.7B 2D3B2A9B3DB$9.11B6.13B2A11BD$12.7B3.3B.25B$11.9B.16B.2B.3B.4B$7.29B 10.2B3.B$5.35B6.3B.B2A$4.24B3D11B5.A3B2A$4.26BD12B3.A.AB.B$4.24B3D12B 2.A.AB$2.2AB.36B3.A$.A.AB3.33B3.2A$.A5.34B$2A6.14B.17B$9.12B4.15B$9. 4B.4B2AB5.13B$10.2B3.3B2A5.12B$9.B2AB2.2B.B6.13B$10.2A6.2A5.13B$19.A 4.14B$16.3A5.14B$16.A7.14B$22.2AB.11B$21.A.AB.5B.5B$21.A6.B4.3B$20.2A 12.B$33.3B$32.B2AB$33.2A!

Note: If I remember correctly, HT75P also relieves the ugly eater weld in the traditional H->Pi->X conduits.
Best wishes to you, Scorbie

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

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

Sphenocorona wrote: I accidentally found yet another variant of PF81H where the FNG cleans up some junk.
Very nice idea! But difficult to connect to an input as noted above...

A made a search for a something similar and found a different spartan clean-up, that connects to "super awesome HL75P" (couldn't agree more!):

This allows a spartan L156 (besides the more obvious one...) if the eater/block combo counts:

Code: Select all

x = 118, y = 70, rule = LifeHistory
94.A$92.3A$91.A$91.2A5$84.2A$84.2A$92.3D$93.D$91.3D10$93.2C$93.2C3$84.2C$84.2C30.2C$116.2C4$85.2C12.3D$86.C12.D.D$83.3C3.2C8.D.D$7.2C74. C4.C.C$8.C6.2C71.C$8.C.C4.2C70.2C$9.2C$5.C108.2C$5.3C78.2A26.C$8.C78. A27.3C$7.2C78.A.A27.C$30.D57.2A17.2A.2A$30.D.D74.2A.A.A$19.2C9.3D79.A$19.2C11.D79.2A4$88.E$8.3E77.E.E18.2A$10.E77.3E18.2A$8.3E79.E6$102.2A$102.A$103.3A$105.A4$2.2C$.C.C$.C12.2C$2C12.2C!


dvgrn
Moderator
Posts: 6843
Joined: May 17th, 2009, 11:00 pm
Contact:

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

simeks wrote:This allows a spartan L156 (besides the more obvious one...) if the eater/block combo counts...
Well, it doesn't quite count as Spartan, because you can't safely build the block and then the eater separately, or the eater and then the block. And there aren't any known slow-salvo recipes that can build both objects at once, as far as I know.

Once recipes are available for all orientations, the L156 will certainly be a welcome addition to the Spartan Club. And the recipes are definitely out there, and not nearly as expensive as most of the big-object seeds being found by Catagolue. At worst, it's just a matter of making slow salvos that produce two gliders.

For some orientations that's trivial, and it should always be fairly cheap -- there's plenty of open space around the block-on-eater, and any catalysts that are in the way can perfectly well be constructed later:

Code: Select all

x = 84, y = 84, rule = LifeHistory
34.2A$35.A$35.A.AB$36.2AB$38.3B$38.4B$39.4B.B$40.7B8.A$41.6B6.3A$41. 2B3D2B4.A$41.2BD4B4.2A$41.B3D4B.4B$41.11B$41.12B$41.12B$42.11B$45.7B
3.3B$44.3BA5B.5B$40.8BA10B$38.8B3A12B$20.3D14.24B3D$20.DBD14.26BD$20.
DBDB13.24B3D$19.5B11.2AB.23B$19.6B9.A.AB3.19B$17.9B8.A5.19B$16.11B6.
2A6.9BA4B.2B$16.11B15.9BA2B$7.2A7.10B16.4B.2B3A2B$8.A8.10B6.2A8.2B3. 5B$8.A.AB6.11B5.A7.B2AB2.2B.B$9.2AB.3B.13B.3A9.2A6.2A$11.16B2A2BA20.A
$11.15BABAB22.A.A2.A$12.16BA2B22.2A2.3A23.A$11.7B2A11B29.A20.3A$9.8BA
BA9B30.2A19.A$7.12BA8B31.5B16.2A$7.2BD19B.B30.4B13.4B$6.3BDBD4B.13B2A 28.5B12.3B$7.2B3D4B2.12B2A26.B.6B10.4B$6.5BD4B2.11B.B26.9B3.10B$5.10B
3.9B26.B.11B2.4BD5B$4.4B10.6B.B26.2A12B2.4B3D2B$4.3B12.5B28.2A13B.4BD
BD3B$2.4B13.4B30.B.19BD2B$2.2A16.5B31.8BA12B$3.A19.2A30.9BABA8B$3A20.
A29.11B2A7B$A23.3A2.2A22.2BA16B$26.A2.A.A22.BABA15B$31.A20.A2B2A16B$
31.2A6.2A9.3A.13B.3B.B2A$32.B.2B2.B2AB7.A5.11B6.BA.A$31.5B3.2B8.2A6.
10B8.A$30.2B3A2B.4B16.10B7.2A$30.2BA9B15.11B$26.2B.4BA9B6.2A6.11B$25.
19B5.A8.9B$24.19B3.BA.A9.6B$22.23B.B2A11.5B$20.3D24B13.BDBD$20.D26B
14.DBD$20.3D24B14.3D$23.12B3A8B$25.10BA8B$25.5B.5BA3B$26.3B3.7B$31.
11B$31.12B$31.12B$32.11B$30.4B.4B3DB$30.2A4.4BD2B$31.A4.2B3D2B$28.3A 6.6B$28.A8.7B$39.B.4B$42.4B$43.3B$45.B2A$45.BA.A$48.A$48.2A! And no doubt an edgy block recipe can be found that's safe for building eater then block, without resorting to gliders. I remember block constructions with two simultaneous leading cells being very rare, but not unheard of. I wish someone (besides me) would pick up a self-constructing circuit project again, and develop some of these techniques further. Anyone want to finish a Demonoid? It will probably be cheaper and easier again by now. A for awesome Posts: 2063 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The Hunting of the New Herschel Conduits A BB84B (wow, that's a lot of B's) that unfortunately doesn't connect to anything, including itself: Code: Select all x = 30, y = 29, rule = LifeHistory 10.C11.C$10.3C7.3C$6.2C5.C5.C$2.2C3.C4.2CB4.2C$2.C2.C6.9B2.2C$4.3C7.
5B5.C$4C3.B6.6B4.C.2C.C$C3.C3B.4B.7B2.2C.C.2C$3.C.16B.B$3.2C.17B3C$6. 17BC2.C$8.15B2.2C$9.13B$7.15B$7.2C.12B$8.C2.6BC6B$5.3C5.3B3C5B$5.C7.
2B2CBC6B$12.14B$12.14B$12.14B$13.12B.2C$13.12B2.C$11.C5B.6B3.C.C$10.C .CB4.BDB2D5.2C$10.C.C6.3D$11.C8.D$8.3C$8.C!  There might be some way to turn it into a gun-supported p168, but that just seems a bit pointless. I do think the concept of turning the natural H of a B into a pi (which then runs into the block) might yield an actually useful conduit or two. I have yet to find any such conduit, though. (I found a useless B-to-R the other day that had neither an input or an output.) 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 Extrementhusiast Posts: 1837 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: The Hunting of the New Herschel Conduits Um...! Code: Select all x = 30, y = 18, rule = LifeHistory 3.2A$2.A.A$2.A$.2A$A2.2A21.2A$2A.A22.A.A$3.A24.A$3.2A23.2A7$8.3C7.2A$
9.C8.A.A$9.3C8.A$20.2A!

I Like My Heisenburps! (and others)

Freywa
Posts: 697
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
Contact:

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

I don't know, it is probably pretty useless. The junk left over from the second interaction with the northeast eater doesn't admit any plausible stabilisation, as far as I can tell.
Princess of Science, Parcly Taxel

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

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

Been found already, and again by chris_c not long ago although I can't find his original post.

On a similar note, could anything be done with this reaction? The LWSS is created pretty quickly (45 ticks) although there's also a fair bit of junk by that point, which doesn't look too promising:

Code: Select all

x = 11, y = 16, rule = B3/S23
8b3o$8bo$7b3o11$b2o$obo$2o!  gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' Kazyan Posts: 970 Joined: February 6th, 2014, 11:02 pm ### Re: The Hunting of the New Herschel Conduits It fits! Code: Select all x = 29, y = 38, rule = LifeHistory 14.A$12.3A$11.A$11.2A$19.2A$19.A$17.A.A$11.C5.2A$11.C.C$11.3C$13.C6$
2.3D$2.D$3.D5$7.3D$6.D3.D$5.D5.D5.A$5.D5.D4.A.A$2A3.D5.D3.A2.A$2A4.D
3.D5.2A$7.3D15.2A$25.A.A$27.A$27.2A2$5.2A$6.A$3.3A$3.A!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

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

Nice! How can you get an input in there, though? As far as I know, the only conduit that connects to your H-to-HF is Conduit 1, but the glider from the new HF-to-G destroys the block.
F171 comes close, but the blinker doesn't get deleted - one of the gliders could maybe be highway-robbed and redirected back to get rid of it, but it wouldn't really be worth the time.

Code: Select all

x = 56, y = 40, rule = LifeHistory
18.A$18.3A$21.A19.A$20.2A17.3A$38.A$38.2A$46.2A$46.A$44.A.A$38.D5.2A$
12.2A24.D.D$13.A24.3D$13.A.A24.D$14.2A3$8.A$8.3A$11.A17.3D$10.2A17.D$
30.D5$34.3D$9.E23.D3.D$9.E.E20.D5.D5.A$9.3E20.D5.D4.A.A$11.E15.2A3.D 5.D3.A2.A$27.2A4.D3.D5.2A$18.2A14.3D15.2A$19.A32.A.A$16.3A35.A$2.2A
$3D17.A.2A$17.2A.A$18.A.A$16.A.A.2A$16.2A!  I Like My Heisenburps! (and others) A for awesome Posts: 2063 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The Hunting of the New Herschel Conduits Extrementhusiast wrote: A for awesome wrote:Very unusual LOM-to-D, consisting of a double eater 2 and two uncommon glider eaters all welded together: Code: Select all x = 27, y = 23, rule = LifeHistory 13.2A$13.A.A2.2A$15.A3.A$11.4A.3A$11.A2.A.A$14.ABAB3A$4.2B9.2ABA2.A.A$.8B4.5B2.2A.3A$16B5.B4.A$17B2.B2AB3A$.10BC6B.B2A.A$.9B2C8B$9B2C7B.B 2A.A$3B2D4BC7B2.B2AB3A$2BD2BD10B5.B4.A$BD2BD13B2.2A.3A$B3D3B5.B2.2ABA 2.A.A$5B8.BABAB3A$2.B8.A2.A.A$11.4A.3A$15.A3.A$13.A.A2.2A$13.2A!  I'm not sure if there's any input, though. It doesn't need to be THAT ridiculous: Code: Select all x = 24, y = 11, rule = LifeHistory 9.2C10.2A$8.C.C9.A.A$8.C.C9.A$2.2D4.2C8.3A$.D2.D12.A3.2A$D2.D13.4A2.A
$3D17.A.2A$17.2A.A$18.A.A$16.A.A.2A$16.2A!  I suppose that yields an alternate form of the p124 LOM hassler: Code: Select all x = 41, y = 38, rule = B3/S23 21bo$15b2o3bobo3b2o$14bobo4bo4bobo$14bo13bo$11b2ob2o2b2o3b2o2b2ob2o$
11b2obo13bob2o$14bob4o3b4obo$14bobo3b3o3bobo$15bo11bo4$6b2o$2b2obobo$
3bobo$3bob2o31b2o$2obo33bobo$o2b4o30bo$b2o3bo28b3o$3b3o10bo2bo14bo3b2o$3bo15bo14b4o2bo$bobo10bo4bo17bob2o$b2o11bo3b2o14b2obo$15bo19bobo$16bo
16bobob2o$17b3o13b2o4$13bo3bobobo3bo$12bobo9bobo$12bobo9bobo$9b2obobob 7obobob2o$9b2obo13bob2o$12bo13bo$12bobo4bo4bobo$13b2o3bobo3b2o$19bo!

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

Scorbie
Posts: 1448
Joined: December 7th, 2013, 1:05 am

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

Forgot to mention there's yet another LOM->D, but unfortunately it's p2-odd so no smaller variants of a LOM hassler. I saw these in one of the long long threads so I don't dare to find the link to the original post, but I'm pretty sure one of Tropylium, knightlife, or A for Awesome? Found this thing.

Code: Select all

x = 12, y = 4, rule = B3/S23
o8b2o$o8bobo$o8bobo$10b2o! EDIT: But you can play with it like this, at least... Code: Select all x = 73, y = 38, rule = B3/S23 19bo33bo$13b2o3bobo3b2o21b2o3bobo3b2o$12bobo4bo4bobo19bobo4bo4bobo$12b
o13bo19bo13bo$9b2ob2o11b2ob2o13b2obo13bob2o$9b2obobo9bobob2o13b2obobob
7obobob2o$12bob11obo19bobo9bobo$12bobob7obobo19bobo9bobo$13bo5bo5bo21b o3bobobo3bo4$20b2o$17bo4bo$16b6o$b2o12bob2o3bo47b2o$bobo11b2o4b2o46bob
o$3bo16bob2o45bo$3b3o16b3o42b3o$b2o3bo13b2ob2o21b3o17bo3b2o$o2b4o14bob
o12bo7b2o2bo17b4o2bo$2obo18bo13bo7bo2b2o20bob2o$3bob2o29bo7b3o19b2obo$3bobo44bo16bobo$2b2obobo41bobo13bobob2o$6b2o43b2o12b2o4$15bo11bo17bo
11bo$14bobo9bobo15bobo3b3o3bobo$14bobo2b5o2bobo15bob4o3b4obo$11b2obo2b ob5obo2bob2o9b2obo13bob2o$11b2obo4b5o4bob2o9b2ob2o2b2o3b2o2b2ob2o$14bo 13bo15bo13bo$14bobo4bo4bobo15bobo4bo4bobo$15b2o3bobo3b2o17b2o3bobo3b2o$21bo29bo!

Best wishes to you, Scorbie

simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

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

Kazyan wrote:It fits!

Code: Select all

x = 29, y = 38, rule = LifeHistory
14.A$12.3A$11.A$11.2A$19.2A$19.A$17.A.A$11.C5.2A$11.C.C$11.3C$13.C6$2.3D$2.D$3.D5$7.3D$6.D3.D$5.D5.D5.A$5.D5.D4.A.A$2A3.D5.D3.A2.A$2A4.D 3.D5.2A$7.3D15.2A$25.A.A$27.A$27.2A2$5.2A$6.A$3.3A\$3.A!
Wow! This pre-HF->G is really cool!

@dvgrn: does it means we now have some crazy amount of H->G based on this interaction? Do we have some collection of edgy HF factories?