## The Hunting of the New Herschel Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

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

Sokwe wrote:
A for awesome wrote:A possibly new H-to-B:

Code: Select all

x = 30, y = 29, rule = LifeHistory
15.C$13.3C$12.C$7.2C3.2C15.C$5.2B2CB3.B13.3C$5.4B4.4B9.C$5.15B6.2C$.B 3.16B2.5B$2CB.22B$2C23B2C$.B.22B2C$4.20B.B$5.19B$5.18B$6.16B$6.15B$5.
19B$4.2C17BDB$4.2CB.16BD$5.B2.16B2D$10.11B3CD$11.11BCDB$12.B2.5B3C2B$14.3B2.6B$13.C2.CB.7B$13.4C4.B.4B$24.4B$13.2C10.4B$13.2C11.4B!

Actually an H-to-R, but there is only one connection that I know of.
The boat and loaf variants of the R->B work equally well here. Unfortunately, the only B->X that connects to the output seems to be BBx187H. Even this only works in a limited number of cases. e.g.,

Code: Select all

x = 80, y = 58, rule = LifeHistory
51.2A$B49.B2AB$2B49.2B$3B47.2B$4B38.2A5.4B$.4B36.B2AB2.10B$2.4B29.A2B
4.15B$3.4B27.ABAB5.13B2A$4.4B26.A2BAB2.15B2A$5.4B26.2A2B2.14B.B$6.4B
26.19B$7.4B7.A7.2A9.4BD13B$8.4B6.3A6.A9.4B3D11B2.2A$9.4B8.A5.A.AB6.5B D14BA.A$10.4B6.2A6.A.AB.B3.19B3.A$11.4B5.6B3.A3B2A3.18B3.2A$12.4B6.5B
.3B.B2A2.19B$13.4B4.9B3.B4.17B$14.4B2.11B7.17B$15.18B2.20B$16.22BD15B
$12.2A3.21BDBD4B.7B$13.A4.20B3D4B2.6B$13.A.AB.21B2D2BDB3.6B$14.2A24B
3D2B5.4B$15.17B.5B.2BD4B3.B2A2B$17.30B3.2A.B2A$8.A10.16B.12B5.BA.A$8.
3A8.15B3.12B7.A$11.A7.14B5.7B.4B6.2A$10.2A3.B3.13B7.6B2.4B$10.8B.12B 8.7B2.4B$12.18B9.7B3.4B$12.17B10.8B.6B22.B$11.17B11.16B20.3D$9.18B12. 17B19.BDB$7.19B13.18B17.2B3D$7.2BE15B15.18B16.5B$6.3BEBE4B.9B17.11B.
4B14.7B$7.2B3E4B2.7B17.13B.4B5.2A5.8B$6.5BE4B4.5B16.20B3.B2AB3.8B$5. 10B3.5B16.B.21B3.3B2.9B$4.4B10.2A15.2A.2A23B3.B2.4B.6B$4.3B12.A16.A.A .B.30B.7B$2.4B10.3A15.A.A.A.A38B$2.2A12.A17.2A3.2A.B.35B$3.A39.32B2A
3B$3A40.32B2A2B$A41.36B$40.A35B$38.3A2.7B.22B2.2B$37.A5.7B3.7B.8B.2B 2.B2AB$37.2A4.7B4.5B5.6B5.2A$43.5B6.4B8.4B$41.2AB.2B7.4B7.B2A2B$40.A. AB10.B2AB8.2A$40.A14.2A$39.2A! I didn't know about the loaf, but the only boat I know of blocks the incoming B. 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 Sokwe Moderator Posts: 1480 Joined: July 9th, 2009, 2:44 pm ### Re: The Hunting of the New Herschel Conduits A for awesome wrote:the only boat I know of blocks the incoming B. The boat seems to work in this example: Code: Select all x = 80, y = 58, rule = LifeHistory 51.2A$B49.B2AB$2B49.2B$3B47.2B$4B38.2A5.4B$.4B36.B2AB2.10B$2.4B36.15B$3.4B36.13B2A$4.4B15.2A16.15B2A$5.4B15.A16.14B.B$6.4B14.A.AB12.15B$7.
4B7.A6.A.AB.B8.2BD13B$8.4B6.3A5.A3B2A6.3B3D11B2.2A$9.4B8.A3.3B.B2A7.
3BD14BA.A$10.4B6.2A3.2B3.B8.17B3.A$11.4B5.8B6.2A.19B3.2A$12.4B6.7B5.A .A19B$13.4B4.9B5.AB.17B$14.4B2.11B7.17B$15.18B2.20B$16.22BD15B$12.2A
3.21BDBD4B.7B$13.A4.20B3D4B2.6B$13.A.AB.21B2D2BDB3.6B$14.2A24B3D2B5. 4B$15.17B.5B.2BD4B3.B2A2B$17.30B3.2A.B2A$8.A10.16B.12B5.BA.A$8.3A8. 15B3.12B7.A$11.A7.14B5.7B.4B6.2A$10.2A3.B3.13B7.6B2.4B$10.8B.12B8.7B
2.4B$12.18B9.7B3.4B$12.17B10.8B.6B22.B$11.17B11.16B20.3D$9.18B12.17B
19.BDB$7.19B13.18B17.2B3D$7.2BE15B15.18B16.5B$6.3BEBE4B.9B17.11B.4B 14.7B$7.2B3E4B2.7B17.13B.4B5.2A5.8B$6.5BE4B4.5B16.20B3.B2AB3.8B$5.10B
3.5B16.B.21B3.3B2.9B$4.4B10.2A15.2A.2A23B3.B2.4B.6B$4.3B12.A16.A.A.B.
30B.7B$2.4B10.3A15.A.A.A.A38B$2.2A12.A17.2A3.2A.B.35B$3.A39.32B2A3B$
3A40.32B2A2B$A41.36B$40.A35B$38.3A2.7B.22B2.2B$37.A5.7B3.7B.8B.2B2.B
2AB$37.2A4.7B4.5B5.6B5.2A$43.5B6.4B8.4B$41.2AB.2B7.4B7.B2A2B$40.A.AB
10.B2AB8.2A$40.A14.2A$39.2A!
-Matthias Merzenich

Kazyan
Posts: 865
Joined: February 6th, 2014, 11:02 pm

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

A new Bellman result for the R-pentomino allows, uh, this:

Code: Select all

x = 39, y = 40, rule = LifeHistory
12.A$11.A.A$11.A.A4.A$9.3A.2A3.3A$8.A4.B7.A$9.3AB2A5.2A$11.A.2A.B3.6B
$13.5B4.5B$14.5B2.6B$14.13B$10.B3.13B$8.19B$4.22B$2.24B$.26B$2.26B$2.
27B$.D23B.4B$2D23B2.4B$.2DB.B.B.16B3.4B$9.16B4.4B$8.21B.4B$7.29B$8. 29BD$10.5B2C18B3DB$12.4B2C17BDBD$13.3BC18BD$14.10B4.2B2.2B$14.10B$14. 6B$15.5B$14.4B.B$13.4BA4B$13.2ABABA.2A$14.ABA.A.A$14.A.A.A2.3A$15.2A.
A4.A$17.A$17.A.A$18.2A! Tanner Jacobi A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The Hunting of the New Herschel Conduits Sokwe wrote: A for awesome wrote:the only boat I know of blocks the incoming B. The boat seems to work in this example: Code: Select all rle Sorry, that's because I was stupid and didn't actually check with the live objects. 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: 1797 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: The Hunting of the New Herschel Conduits Meanwhile, a very different C-to-Pi: Code: Select all x = 32, y = 29, rule = LifeHistory 10.A$9.A.A4.2A3.A$9.A.A5.A2.A.A$A7.2A.2A2.A4.A.A$3A12.5A.A$3.A4.2A.4A
4.A$2.2A4.2A.A2.A.A3.A$15.A.A3.A$16.A3.2A5$25.2A$6.3C15.A.A$5.C2.C15.
2A$5.2C21.2A$28.A.A$30.A$30.2A7$9.D.D$9.D.D$9.3D!  This C-to-G is also possible: Code: Select all x = 24, y = 28, rule = LifeHistory 10.A$9.A.A$9.A.A$A7.2A.3A$3A11.A$3.A4.2A.3A$2.2A4.2A.A2$22.2A$22.A$
20.A.A$20.2A3$6.3C$5.C2.C$5.2C10$12.2A$12.2A!

Also, perhaps we should look for Pi-to-Xs with a certain transparent block:

Code: Select all

x = 123, y = 25, rule = LifeHistory
118.A$15.2A99.3A$15.2A59.2A37.A6.A$76.2A37.2A3.3A$119.A$4.2C16.2A45. 2C3.4A34.2C5.2A$4.2C16.A46.2C3.A2.A34.2C$20.A.A$20.2A2$3D62.3D40.3D7. 2C$D64.D12.2C28.D8.2C$3D62.3D9.2C29.3D7.2C$78.C40.C8$8.3C7.2A$9.C8.A.
A$9.3C8.A$20.2A!

I Like My Heisenburps! (and others)

A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

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

I think this is a new H-to-G, SW18?T140? (I'm not sure where the zero-points are):

Code: Select all

x = 29, y = 35, rule = LifeHistory
6.A$5.A.A$5.A.A$3.3A.2A$2.A4.B$3.3AB2AB4.3B$5.A.2AB.2B.4B$9.9B$9.9B$9.10B$9.10B$9.10B2.2A$7.12B2.A.A.2A$7.12B4.A.A$7.13B2.2A.A$8.11B.4B.A .2A$9.13B4A2.A$8.12B.BAB2.2A$6.16B.3A$5.18B2.A$5.17B3.A.A$6.16B4.2A$
5.16B$3.18B$.21B$.2BC19B$3BCBC4B.7B2.4B$.2B3C4B2.6B3.4B$5BC4B3.6B3.4B
$9B6.4B4.4B$2B12.B2A2B5.4B$B14.2A.B2A4.4B$18.BA.A4.3B$21.A5.2B$21.2A
5.B!

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

thunk
Posts: 165
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

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

A for awesome wrote:I think this is a new H-to-G, SW18?T140? (I'm not sure where the zero-points are):

Code: Select all

rle
HSE19T106, actually.

And I'm pretty sure I don't have one of those in the collection. Same mod-8 timing as the last compound H->G (SE19T42).
"What's purple and commutes?
The Evanston Express."

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

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

Pretty sure it's actually a HSE19T134.

thunk
Posts: 165
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

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

gmc_nxtman wrote:Pretty sure it's actually a HSE19T134.
No. The timings are measured from when the (proleptic) output glider crosses the vertical line through the initial object. In this case, the glider forms at 134 ticks, but it is 7fd to the east of this line. 134-(4*7)=106, and that's the timing.
"What's purple and commutes?
The Evanston Express."

dvgrn
Moderator
Posts: 5888
Joined: May 17th, 2009, 11:00 pm
Contact:

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

gmc_nxtman wrote:Pretty sure it's actually a HSE19T134.
Yeah, thunk has it right -- HSE19T106. It's probably safer not to calculate the statistics manually at all. The H-to-G analyzer script is right about what name should be assigned, pretty much by definition, unless someone finds a bug in the code.

You can select an H-to-G and run the script from the clipboard. The only caveat is that at the moment you have to have run something like pop-plot.py since the last time you opened Golly, so that Golly has the glife module already loaded. Golly doesn't know where to find the glife module when it's starting from clipboard.py stored in one of Golly's temporary file locations.

I should really patch the recognizer script to remove that annoying dependency. Will put it on the short To-Do list. EDIT: Done. If anyone sees any errors when running H-to-Gstats16November2015.py, please let me know.

-- That "H-to-G converter collection" thread is still a good place to put new H-to-Gs, by the way. This thread is already pretty long, and H-to-Gs seem to turn up several times more often than other X-to-Y conduits.

Kazyan
Posts: 865
Joined: February 6th, 2014, 11:02 pm

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

No conduit today, but an odd Spartan catalyst (from Bellman) for the back of an R-pentomino:

Code: Select all

x = 13, y = 10, rule = B3/S23
6bo$5b3o$7bo3$6b2o3bo$3bobobo2bobo$b3ob2o4bo$o$2o! It works for the natural R pointing the "wrong way" during the Herschel's evolution. I've also seen a few R-pentominoes pointing the wrong way when trying to make conduits, so this might be useful for perturbations somewhere. It may be a little unwieldy because of the pseudo eater-on-ship, but at least it's the "easy" orientation. Code: Select all x = 30, y = 13, rule = B3/S23 27bobo$27b2o$28bo2$26b2o$26b2o2$7bo$5b2o19bo$3bo2b2o15bobobo$b3o17b3ob 2o$o19bo$2o18b2o! Tanner Jacobi Extrementhusiast Posts: 1797 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: The Hunting of the New Herschel Conduits I'm not exactly sure what to call it, but whatever it is, it looks pretty useful: Code: Select all x = 97, y = 67, rule = LifeHistory 42.2A$42.2A11.2A$54.A.A$55.A9$46.2D$45.3D$46.3D$46.2D7.2A$55.2A3$51.C
$50.3C$50.C.2C$43.2A$43.2A16$5.2A35.2A35.2A$4.B2AB10.2A21.B2AB10.2A
21.B2AB10.2A$4.5B8.A.A21.5B8.A.A21.5B8.A.A$5.5B7.BA23.5B7.BA23.5B7.BA
$5.6B7.2B22.6B7.2B22.6B7.2B$6.6B5.4B22.6B5.4B22.6B5.4B$A.A4.15B15.A.A 4.15B15.A.A4.15B$.2A4.15B16.2A4.15B16.2A4.15B$.A5.16B15.A5.16B15.A5. 16B$7.16B21.16B21.16B$7.16B21.16B21.16B$6.16B21.16B21.16B$6.3B2C10B 22.3BCD10B22.3B2D10B$7.BC2D9B24.BD2C9B24.B3D9B$7.2B2DC8B24.2B2CD8B24. 2B3D8B$6.3B2C7B2A23.3BDC7B2A23.3B2D7B2A$7.11B2A24.11B2A24.11B2A$8.11B
26.11B26.11B$10.8B29.8B29.8B$11.3BD3B30.3BD3B30.3BD3B$11.2B3D2B30.2B 3D2B30.2B3D2B$7.B3.2BDB2DB26.B3.2BDB2DB26.B3.2BDB2DB$6.2AB.9B24.2AB. 9B24.2AB.9B$6.2A10B25.2A10B25.2A10B$7.2B.8B26.2B.8B26.2B.8B$10.8B29.
8B29.8B$14.4B33.4B33.4B$15.B36.B36.B!

I Like My Heisenburps! (and others)

dvgrn
Moderator
Posts: 5888
Joined: May 17th, 2009, 11:00 pm
Contact:

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

Extrementhusiast wrote:I'm not exactly sure what to call it, but whatever it is, it looks pretty useful...
Huh. A parity-testing toad-switch! ... or something like that. It does look useful, but my imagination is failing me when it comes to specifics.

I suppose it could allow incoming data, in the form of a stream of gliders, to be pre-tested before being sent into P2 circuitry, if we actually had enough P2 circuitry to make it anything but a bother to do that. Or, possibly more interesting, we could use it to retrieve parity information from the glider stream, and use some other variation in the relative timing of the gliders to store a completely independent series of bits.

It's a little tricky to get the "completely independent" part to work in practice, though. Really it's much easier to just send two gliders in series or in parallel, through regular boring old P1 circuits.

Kazyan
Posts: 865
Joined: February 6th, 2014, 11:02 pm

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

Very compact nonspartan B-to-B:

Code: Select all

x = 24, y = 24, rule = LifeHistory
4$12.A$11.A.A$10.A.A.A$10.A3.A$8.2A.3A$7.A.A.A$6.A.A2B$6.BA.B$7.5B$6.
8B$4.B.7B2D$3.A5BC4B2D$2.A.A3B3C2B2D$3.AB2.BCB2CBD$7.6B$8.4B$9.2B!  EDIT: Spartan backwards H-to-B. Code: Select all x = 26, y = 24, rule = LifeHistory 22.A$20.3A$19.A$19.2A$17.4B$16.3B$15.5B$12.9B$11.11B$11.5BD4B2.BA$12. 3B2D6BA.A$11.3B2D8B2A$9.6B2D6B$7.17B2A$7.2BC11B.BA.A$6.3BCBC4B.3B3.BA
$7.2B3C4B2.B$6.5BC4B$5.10B$4.4B$3.4B$2.4B$.4B$4B!
Last edited by Kazyan on November 18th, 2015, 11:03 pm, edited 1 time in total.
Tanner Jacobi

Posts: 1906
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

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

Slightly less complicated catalyst:

Code: Select all

x = 14, y = 16, rule = LifeHistory
9.2A$8.A.A$8.A$6.2A.4A$5.A.A.A2.A$4.A.A2B$4.BA.B$5.5B$4.8B$2.B.7B2D$.
A5BC4B2D$A.A3B3C2B2D$.AB2.BCB2CBD$5.6B$6.4B$7.2B!  LifeWiki: Like Wikipedia but with more spaceships. [citation needed] A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The Hunting of the New Herschel Conduits It seems like there should be some way to get a signal out of this: Code: Select all x = 10, y = 10, rule = LifeHistory 7.C$6.C.C$7.C4$7.C$6.3C$2C3.2C2.C$2C!  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: 1797 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: The Hunting of the New Herschel Conduits R-to-glider: Code: Select all x = 16, y = 30, rule = LifeHistory 2.A$2.3A$5.A$4.2A14$8.C$7.3C$7.C2$12.2A$12.A.A$14.A$2.2A10.2A$3.A$3A 6.2A$A8.A$10.3A$12.A!

Some sort of signal could also potentially be gotten from the front end.

EDIT: P110 gun showcasing a periodic B110:

Code: Select all

x = 43, y = 50, rule = B3/S23
29bo$28bobo$29bo$41b2o$15b2o24b2o$15b2o2$3b2o$3bobob2obo$5bobob2o$4b2o bo$7bo$8b2o$4bo5bo$3bobo3b3o$4bo5bo$8b2o$7bo$4b2obo16b3o$5bobob2o12bo
3bo$3bobob2obo17bo$3b2o29b2o$23b2o3bo5bo$25b3o7b3o$37bo$5bo$5b3o7b3o$
8bo5bo3b2o$7b2o29b2o$14bo17bob2obobo$15bo3bo12b2obobo$16b3o16bob2o$35b o$33b2o$32bo5bo$31b3o3bobo$32bo5bo$33b2o$35bo$35bob2o$32b2obobo$32bob
2obobo$38b2o2$26b2o$2o24b2o$2o$13bo$12bobo$13bo!  Although for a single Herschel, it requires something more like this: Code: Select all x = 57, y = 52, rule = B3/S23 47b2o$36bo10b2o$35bobo$36bo10b4o$46bo4bobo$22b2o22b2o2b2ob3o$22b2o32bo$50b2ob3o$10b2o38b2obo$10bobob2obo$12bobob2o$11b2obo$14bo$15b2o33b2o$11bo5bo32bobo$10bobo3b3o33bo$11bo5bo34b2o$15b2o$14bo$11b2obo16b3o$12bo bob2o12bo3bo$10bobob2obo17bo$10b2o29b2o$30b2o3bo5bo$32b3o7b3o$44bo$12b o$12b3o$15bo$14b2o29b2o$39bob2obobo$39b2obobo$42bob2o$42bo$40b2o$3b2o
34bo5bo$4bo33b3o3bobo$4bobo32bo5bo$5b2o33b2o$42bo$42bob2o$39b2obobo$39bob2obobo$3bob2o38b2o$b3ob2o$o32b2o$b3ob2o2b2o22b2o$3bobo4bo$6b4o10b o$19bobo$8b2o10bo$8b2o!

Also, a relatively iffy R-to-B:

Code: Select all

x = 24, y = 21, rule = LifeHistory
A$3A$3.A$2.2A3$22.2A$22.2A5$18.C$17.3C.2D$17.C4.2D$21.2D$21.D3$15.2A$
15.2A!

I Like My Heisenburps! (and others)

A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

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

What appears to be a new R-to-G, given that there appear to be no drifter catalyses in the conduit collection:

Code: Select all

x = 22, y = 22, rule = LifeHistory
6.2C$3.2C2.C$.3C.2C6.2C$C4.B7.C.C2.2C$.3CB2C8.C3.C$3.C.2C4.4C.3C$5.4B
2.C2.C.C$7.2B3.B.CBCB3C$5.5B.4B2CBC2.C$5.13B2.2C$4.14B$3.14B$3.B2C12B
$3.2B2C10B$3.2BC13B$3.10B4.2C$3.10B4.C$4.9B5.3C$5.2B3.4B6.C$4.4B3.4B$
4.B2CB4.4B$5.2C6.4B!  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: 1797 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: The Hunting of the New Herschel Conduits A possible start for an R-to-LWSS: Code: Select all x = 19, y = 19, rule = LifeHistory 9.A$8.A.A$8.A.A$7.2A.2A$7.A$8.A.2A$6.A.A.2A$A.2A.A.A$2A.A.A$3.A.A$3. 2A2$6.2A$6.2A3$16.2C$17.2C$17.C!

It looks to me like the block will have to be made transparent.

EDIT: Found a way to let the FNG through for a P220 gun:

Code: Select all

x = 58, y = 50, rule = LifeHistory
38.A8.2A4.A$37.A.A7.A.A2.A.A$38.A10.4A2.A$48.A4.A.A$24.2A22.2A2.2A.2A
$24.2A30.A$52.2A.A$12.2A38.2A.A.A$12.A.A.2A.A36.2A$14.A.A.2A$13.2A.A$15.2A$17.2A33.2A$13.A3.A2.A31.A.A$12.A.A3.A.A33.A$13.A3.A2.A33.2A$17.
2A$15.2A$13.2A.A$14.A.A.2A$12.A.A.2A.A$12.2A29.2A$43.A$44.3A$46.A$14. A$14.3A$17.A6.2A$16.2A5.A.A21.2A$8.A16.A15.A.2A.A.A$7.A.A11.A19.2A.A.
A$7.A.A10.A23.A.2A$5.3A.2A9.A2.2A19.2A$4.A16.3A18.2A$5.3A.2A11.A17.A
2.A3.A$7.A.2A29.A.A3.A.A$40.A2.A3.A$2A40.2A$.A42.2A$.A.A40.A.2A$2.2A
37.2A.A.A$6.2A33.A.2A.A.A$5.A.A39.2A$5.2A$35.2A$35.2A2$8.A13.A$7.A13. A.A$7.3A12.A!

The P110 gun has a three-way tie for smallest stabilization (in terms of area):

Code: Select all

x = 52, y = 186, rule = LifeHistory
35.A$34.A.A$35.A$47.2A$21.2A25.A$20.A2.A12.3A$21.2A12.A3.2A$9.2A23.A 5.A$9.A.A.2A.A8.2A7.A4.A9.A.A$11.A.A.2A8.A.A9.A7.A5.A$10.2A.A11.A.2A
8.A9.A3.A$11.3A8.6A8.A10.A2.A$14.2A5.A4.A21.A$10.A3.A6.A2.A9.2A$9.A.A
2.2A.2A3.2A11.A$10.A3.A$14.2A$11.3A$10.2A.A$11.A.A.2A$9.A.A.2A.A$9.2A 29.2A$40.A$41.3A$43.A$11.A$11.3A$14.A$13.2A29.2A$38.A.2A.A.A$38.2A.A.
A$41.A.2A$41.3A$39.2A$2.2A36.A3.A$3.A15.A11.2A3.2A.2A2.A.A$3.A.A13.2A
9.A2.A6.A3.A$4.2A22.A4.A5.2A$18.A8.6A8.3A$17.A8.2A.A11.A.2A$17.A9.A.A
8.2A.A.A$2A13.A4.A7.2A8.A.2A.A.A$A.A.2A8.A5.A23.2A$2.A.2A8.2A3.A12.2A$.A14.3A12.A2.A$.2A.2A26.2A$2.A.A$2.A.A14.A$3.A14.A.A$19.A21$35.A$34. A.A$35.A$47.2A$21.2A25.A$20.A2.A12.3A$21.2A12.A3.2A$9.2A23.A5.A$9.A.A
.2A.A8.2A7.A4.A9.A.A$11.A.A.2A8.A.A9.A7.A5.A$10.2A.A11.A.2A8.A9.A3.A$11.3A8.6A8.A10.A2.A$14.2A5.A4.A21.A$10.A3.A6.A2.A9.2A$9.A.A2.2A.2A3.
2A11.A$10.A3.A$14.2A$11.3A$10.2A.A$11.A.A.2A$9.A.A.2A.A$9.2A29.2A$40.
A$41.3A$43.A$11.A$11.3A$14.A$13.2A29.2A$38.A.2A.A.A$38.2A.A.A$41.A.2A$41.3A$39.2A$2A38.A3.A$.A17.A11.2A3.2A.2A2.A.A$.A.A15.2A9.A2.A6.A3.A$2.2A24.A4.A5.2A$7.A10.A8.6A8.3A$7.A9.A8.2A.A11.A.2A$9.A7.A9.A.A8.2A.A
.A$8.3A4.A4.A7.2A8.A.2A.A.A$2.2A4.A.A3.A5.A23.2A$.A.A3.2A5.2A3.A12.2A$.A6.2A6.3A12.A2.A$2A6.2A22.2A$8.A.A$9.A9.A$18.A.A$19.A17$35.A$34.A.A$35.A$47.2A$21.2A25.A$20.A2.A12.3A$21.2A12.A3.2A$9.2A23.A5.A$9.A.A.2A
.A8.2A7.A4.A9.A.A$11.A.A.2A8.A.A9.A7.A5.A$10.2A.A11.A.2A8.A9.A3.A$11. 3A8.6A8.A10.A2.A$14.2A5.A4.A21.A$10.A3.A6.A2.A9.2A$9.A.A2.2A.2A3.2A
11.A$10.A3.A$14.2A$11.3A$10.2A.A$11.A.A.2A$9.A.A.2A.A$9.2A29.2A$40.A$41.3A$43.A$11.A$11.3A$14.A$13.2A29.2A$38.A.2A.A.A$38.2A.A.A$41.A.2A$.
A39.3A$.3A35.2A$4.A35.A3.A$3.2A14.A11.2A3.2A.2A2.A.A$19.2A9.A2.A6.A3.
A$5.2A21.A4.A5.2A$4.A2.A10.A8.6A8.3A$2A5.A9.A8.2A.A11.A.2A$A.A6.A7.A
9.A.A8.2A.A.A$.A2.2A9.A4.A7.2A8.A.2A.A.A$14.A5.A23.2A$14.2A3.A12.2A$
16.3A12.A2.A$6.A25.2A$6.2A$19.A$18.A.A$19.A!  Apparently, these are new size records for guns of these periods (admittedly, not by that much). I Like My Heisenburps! (and others) A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The Hunting of the New Herschel Conduits A maybe-salvageable transparent block: Code: Select all x = 17, y = 8, rule = LifeHistory 16.A$5.2A7.3A$5.2A6.A$13.2A2$.C$3C$C!  I haven't found any way to keep the eater from getting destroyed, though. Edit: Another one: Code: Select all x = 20, y = 6, rule = LifeHistory 2A16.2A$2A16.2A2$8.C$7.3C$7.C!  This time it's the transparent block that I can't salvage: Code: Select all x = 20, y = 6, rule = LifeHistory 2A16.2A$2A16.2A2$8.C$7.3C$7.C!  x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The Hunting of the New Herschel Conduits Another D-to-G: Code: Select all x = 24, y = 31, rule = LifeHistory 13.C$.2C8.3C$C2BC6.C$BCBC2B4.2C$2BC9B$2.8B$4.11B2.B5.B$4.11B.3B3.2B$4.15B2.3B$5.19B$3.20B$2.20B$3.4B3C11B$3.3BC2BC11B$3.2BC2BC13B$3.3B2C
14B$3.18B$2.19B$.21B$.7B.13B$2.19B$2.21B$2.22B$2.13B2.6B$4.12B2.3B$5.
10B$5.8B$11.B$10.3B$10.B2CB$11.2C!  x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: The Hunting of the New Herschel Conduits A D-to-R: Code: Select all x = 29, y = 21, rule = LifeHistory 19.B$7.B2.2B.B4.3B$5.11B2.3B$.B2.18B$2CB.20B$2C23B$.B.11BD10B$3.10B3D
9B$2.13BD7B.B2C$3.20B.BC.C$3.19B5.C$2.21B4.2C$3.19B$3.18B$4.5B3C9B$4.
4BC2BC9B$6.BC2BC8B.B2C$6.2B2C8B2.BC.C$8.7B.B6.C$8.3B.2B9.2C$9.B!  Not sure if there's an output, 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 Extrementhusiast Posts: 1797 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: The Hunting of the New Herschel Conduits A very simple periodic conduit, HFx55Bp4/5/6/7/8/others: Code: Select all x = 186, y = 43, rule = LifeHistory 11.D39.D39.D39.D39.D$10.3D37.3D37.3D37.3D37.3D$10.D.2D36.D.2D36.D.2D 36.D.2D36.D.2D5$3.2A38.2A38.2A38.2A38.2A$3.A39.A39.A39.A39.A$A4.A34.A
4.A34.A4.A34.A4.A34.A4.A$6A34.6A34.6A34.6A34.6A2$2.2A38.2A38.2A38.2A
38.2A$2.A39.A39.A39.A39.A$A.A16.2A19.A.A16.2A19.A.A16.2A19.A.A16.2A
19.A.A16.2A$2A16.A2.A18.2A16.A2.A18.2A16.A2.A18.2A16.A2.A18.2A16.A2.A$19.2A38.2A38.2A38.2A38.2A3$7.3D37.3D37.3D37.3D37.3D$8.D39.D39.D39.D
39.D$8.3D6.A.A28.3D7.2A28.3D6.A2.A27.3D37.3D6.A.A$20.A36.4A39.A34.2A
43.A$16.A2.A36.A4.A34.A4.A33.2A39.A4.A2.2A$15.A.A.A35.2A4.2A33.2A2.A.
A33.A3.A.3A31.2A.A2.A.2A$15.A2.A36.2A4.2A38.A.2A30.A3.6A35.2A$16.2A
38.A4.A72.A6.A$57.4A74.5A$58.2A41.A2.A$101.2A34.5A$136.A6.A$137.A3.6A$138.A3.A.3A$137.2A$137.2A3$9.2A38.2A38.2A38.2A38.2A$9.2A38.2A38.2A
38.2A38.2A2$8.C7.A.2A28.C7.A.2A28.C7.A.2A28.C7.A.2A28.C7.A.2A$7.3C6.
2A.A27.3C6.2A.A27.3C6.2A.A27.3C6.2A.A27.3C6.2A.A$7.C.2C36.C.2C36.C.2C 36.C.2C36.C.2C!  Replacing the sparker with a hook with tail turns it into a period-tripler: Code: Select all x = 103, y = 43, rule = LifeHistory 12.D39.D39.D$11.3D37.3D37.3D$11.D.2D36.D.2D36.D.2D5$4.2A38.2A38.2A$4. A39.A39.A$.A4.A34.A4.A34.A4.A$.6A34.6A34.6A2$3.2A38.2A38.2A$3.A39.A 39.A$.A.A16.2A19.A.A16.2A19.A.A16.2A$.2A16.A2.A18.2A16.A2.A18.2A16.A 2.A$20.2A38.2A38.2A$54.2A$A39.A13.2A24.A11.2A$3A5.3D29.3A5.3D29.3A5. 3D.2A$3.A5.D33.A5.D33.A5.D$2.A6.3D30.A6.3D30.A6.3D$2.2A38.2A38.2A15$10.2A38.2A38.2A$10.2A38.2A38.2A2$9.C7.A.2A28.C7.A.2A28.C7.A.2A$8.3C6.
2A.A27.3C6.2A.A27.3C6.2A.A$8.C.2C36.C.2C36.C.2C!  But I just want a stable way to remove that darn block! I Like My Heisenburps! (and others) dvgrn Moderator Posts: 5888 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: The Hunting of the New Herschel Conduits Extrementhusiast wrote:A very simple periodic conduit, HFx55Bp4/5/6/7/8/others... Replacing the sparker with a hook with tail turns it into a period-tripler... But I just want a stable way to remove that darn block! That's a very nice new straight-line period tripler -- easy to chain together to make high-period guns with very small bounding boxes (long and narrow). But yes, a stable version would be nice. It's technically within the reach of current technology. You just have to route a signal around to rebuild a block: Code: Select all x = 22, y = 43, rule = LifeHistory 11.D$10.3D$10.D.2D5$3.2A$3.A$A4.A$6A2$2.2A$2.A$A.A16.2A$2A16.A2.A$19.
2A3$7.3D$8.D9.2A$8.3D7.2A16$9.2A$9.2A2$8.C7.A.2A$7.3C6.2A.A$7.C.2C!
... or convert a pond back into a beehive in the same location, or any number of other similarly unlikely transformations. Is there enough room for Bellman to find a better solution?

Posts: 1906
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

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

dvgrn wrote:Or any number of other similarly unlikely transformations.
Like turning a LOM into a hive?

Code: Select all

x = 22, y = 43, rule = LifeHistory
11.D$10.3D$10.D.2D5$3.2A$3.A$A4.A$6A2$2.2A$2.A$A.A16.2A$2A16.A2.A$19. 2A3$7.3D$8.D$8.3D5.2A$15.A2.A$16.2A14$9.2A$9.2A2$8.C7.A.2A$7.3C6.2A.A
$7.C.2C!  Another potential bait reaction, although I don't like the idea of replacing periodic conduits with periodic conduits: Code: Select all x = 22, y = 43, rule = LifeHistory 11.D$10.3D$10.D.2D5$3.2A$3.A$A4.A$6A2$2.2A$2.A$A.A16.2A$2A16.A2.A$19.
2A3$7.3D$8.D8.A$8.3D6.A$17.A15$9.2A$9.2A2$8.A7.A.2A$7.3A6.2A.A\$7.A.2A
!

LifeWiki: Like Wikipedia but with more spaceships. [citation needed]