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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 BlinkerSpawn » October 1st, 2017, 5:08 pm

Kazyan wrote:I found some better stabilizations from the search, but nothing completely clean. The yellow eater in this version suppresses a bit of junk that looks like it'd be easy to make clean, but has been so resilient to cleanup that both CatForce (2 catalysts) and Bellman (max-active 9) haven't come up with a clean version. Not that it matters much, since the R output seems too finicky to use, per Jormungant.

rle

Trivially combining your and Jurmongant's suggestions solves the hive:
x = 31, y = 46, rule = LifeHistory
7.2A$7.A$8.3A$10.A3.2A$14.2A8.2A$24.A$6.2A14.A.A$7.A14.2A$7.A.A$8.2A
19.2E$29.E$27.E.E$27.2E$2A$.A$.A.A$2.2A7$2.C$2.C.C$2.3C22.A$4.C21.A.A
$26.A2.A$24.3A3.A$23.A3.3A$6.12B5.4A$5.D12B9.A$4.2D13B4.2A.2A$3.2D11B
2DB4.A4.2A$4.D10B2D2B5.2A.A2.A$5.D10BD2B6.A.A.A$8.11B6.A2.A$9.2B.7B7.
2A$13.4B$15.3B$14.B2A3B$15.A2.A.A$16.3A.3A$19.A3.A$16.2A.A2.2A$16.A.A
!

Of course, there's still the B's annoying block.
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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » October 1st, 2017, 5:18 pm

Kazyan wrote:I found some better stabilizations from the search, but nothing completely clean. The yellow eater in this version suppresses a bit of junk that looks like it'd be easy to make clean, but has been so resilient to cleanup that both CatForce (2 catalysts) and Bellman (max-active 9) haven't come up with a clean version. Not that it matters much, since the R output seems too finicky to use, per Jormungant.

x = 31, y = 38, rule = LifeHistory
7.2A$7.A$8.3A$10.A3.2A$14.2A8.2A$24.A$6.2A14.A.A$7.A14.2A$7.A.A$8.2A
19.2E$29.E$27.E.E$27.2E$2A$.A$.A.A$2.2A7$2.C$2.C.C$2.3C22.A$4.C21.A.A
$26.A2.A$24.3A3.A$23.A3.3A$23.4A$27.A$23.2A.2A$23.A4.2A$24.2A.A2.A$
25.A.A.A$25.A2.A$26.2A!

Well, here's a dependent H-B that probably has no input or output:
x = 32, y = 46, rule = LifeHistory
7.2A$7.A$8.3A$10.A3.2A$14.2A8.2A$24.A$6.2A14.A.A$7.A14.2A5.A$7.A.A17.
3A$8.2A16.A$26.2A3$2A$.A$.A.A$2.2A24.2A$28.A.A$30.A$30.2A4$2.C$2.C.C$
2.3C22.A$4.C21.A.A$26.A2.A$24.3A3.A$23.A3.3A$23.4A$27.A$23.2A.2A$23.A
4.2A$24.2A.A2.A$25.A.A.A$25.A2.A$26.2A3$15.2A$15.A2.A.A$16.3A.3A$19.A
3.A$16.2A.A2.2A$16.A.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: The Hunting of the New Herschel Conduits

Postby calcyman » October 2nd, 2017, 4:03 am

A for awesome wrote:Well, here's a dependent H-B that probably has no input or output:


It definitely has a usable output; the input might be slightly more difficult:

x = 63, y = 72, rule = LifeHistory
38.2A$38.A$39.3A2.2B$41.A3B2A$43.2B2A2B6.2A$43.6B6.A$37.2A3.7B3.BA.A$
38.A4.6B3.B2A5.A$38.A.AB.10B5.3A$39.2AB.10B4.A$41.12B4.2A$41.18B$41.
16B$31.2A8.18B$32.A9.17B$32.A.AB4.19B$33.2AB.20B.B2A$35.21B2.BA.A$35.
20B6.A$36.19B6.2A$35.20B$33.22B$31.24B$31.2BC22B$30.3BCBC20B$31.2B3C
4B.13B4.A$12.2A16.5BC4B2.12B3.A.A$12.A2.A13.10B2.9B.2B4.A2.A$13.3A12.
8B5.11B3.3A3.A$7.2A18.8B4.15BAB2.3A$7.A.A5.3A8.8B.19B4A$2.A6.A4.A2.AB
4.13BD17B.B2.A$2.3A4.2A3.2A2B4.13B2D17B2AB2A$5.A4.B4.B.3B2.12B2D15B3.
AB3.2A$4.2A4.2B2.7B.13BD15B4.2A.A2.A$4.10B.21BD14B5.A.A.A$6.30B3.11B
6.A2.A$5.24B2.4B5.2B.7B7.2A$5.22B3.4B10.4B$6.20B3.4B13.3B$7.20B.4B13.
B2A3B$7.24B15.A2.A.A$10.20B17.3A.3A$9.20B21.A3.A$9.19B19.2A.A2.2A$8.
19B20.A.A$4.17B.4B$3.2A15B.4B$3.2A19B$4.19B$6.16B$5.16B$4.4B.11B$4.3B
.11B$2.2AB3.10B$.A.AB3.9B$.A5.10B2.B$2A3.B.10B.B2A$4.2A13B2A$4.2A11B.
2B$5.12B$5.3B.9B$8.11B$8.12B$9.7B.4B$10.7B.4B$8.B.19B$7.2A3B2A11BD4B$
7.2AB.B2A9B3D4B$8.B2.12BDBD4B$12.11BD6B$13.B2.2B2.10B!


EDIT: This might be a potential route of attack, if the white object can be inserted:

x = 63, y = 72, rule = LifeHistory
38.2A$38.A$39.3A2.2B$41.A3B2A$43.2B2A2B6.2A$43.6B6.A$37.2A3.7B3.BA.A$
38.A4.6B3.B2A5.A$38.A.AB.10B5.3A$39.2AB.10B4.A$41.12B4.2A$41.18B$26.C
14.16B$24.BCB4.2A8.18B$22.3BCB5.A9.17B$20.5BC6.A.AB4.19B$20.3BCB3C5.
2AB.20B.B2A$20.3BC2BCB7.21B2.BA.A$21.2B3C3B6.20B6.A$20.9B7.19B6.2A$
20.8B7.20B$20.8B5.22B$18.10B2.25B$17.16BD22B$16.7B2A8BDBD20B$16.6BABA
8B3D4B.13B4.A$17.5B2A11BD4B2.12B3.A.A$13.2A4.20B2.9B.2B4.A2.A$12.A2.A
5.6B.8B5.11B3.3A3.A$7.2A3.3A12.8B4.15BAB2.3A$7.A.A5.3A8.8B.19B4A$2.A
6.A4.A2.AB4.13BD17B.B2.A$2.3A4.2A3.2A2B4.13B2D17B2AB2A$5.A4.B4.B.3B2.
12B2D15B3.AB3.2A$4.2A4.2B2.7B.13BD15B4.2A.A2.A$4.10B.21BD14B5.A.A.A$
6.30B3.11B6.A2.A$5.24B2.4B5.2B.7B7.2A$5.22B3.4B10.4B$6.20B3.4B13.3B$
7.20B.4B13.B2A3B$7.24B15.A2.A.A$10.20B17.3A.3A$9.20B21.A3.A$9.19B19.
2A.A2.2A$8.19B20.A.A$4.17B.4B$3.2A15B.4B$3.2A19B$4.19B$6.16B$5.16B$4.
4B.11B$4.3B.11B$2.2AB3.10B$.A.AB3.9B$.A5.10B2.B$2A3.B.10B.B2A$4.2A13B
2A$4.2A11B.2B$5.12B$5.3B.9B$8.11B$8.12B$9.7B.4B$10.7B.4B$8.B.19B$7.2A
3B2A11BD4B$7.2AB.B2A9B3D4B$8.B2.12BDBD4B$12.11BD6B$13.B2.2B2.10B!
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Re: The Hunting of the New Herschel Conduits

Postby Jormungant » October 2nd, 2017, 4:02 pm

There is also the possibility of starting with a B instead of a H, that new B-to-H block gets removed with the current construction:

x = 58, y = 64, rule = LifeHistory
13$29.2A$29.A$30.3A2.2B$32.A3B2A$34.2B2A2B6.2A$34.6B6.A$28.2A3.7B3.BA
.A$29.A4.6B3.B2A5.A$29.A.AB.10B5.3A$30.2AB.10B4.A$32.12B4.2A$32.18B$
32.16B$32.18B$33.17B$31.19B$28.20B.B2A$27.20B2.BA.A$26.20B6.A$27.19B
6.2A$14.5B7.20B$14.5B5.22B$14.5B2.25B$14.33B$14.2B2C29B$14.3B2C12B.
13B4.A$14.2B2C13B2.12B3.A.A$14.2BC13B2.9B.2B4.A2.A$14.4B.8B5.11B3.3A
3.A$18.8B4.15BAB2.3A$17.8B.19B4A$14.13BD17B.B2.A$14.12B2D17B2AB2A$14.
11B2D15B3.AB3.2A$14.12B2D14B4.2A.A2.A$14.13B.14B5.A.A.A$14.13B3.11B6.
A2.A$31.2B.7B7.2A$35.4B$37.3B$36.B2A3B$37.A2.A.A$38.3A.3A$41.A3.A$38.
2A.A2.2A$38.A.A!
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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » November 5th, 2017, 11:25 am

Is there any way to restore the upper block or replace it with an equivalent catalyst?
x = 28, y = 21, rule = LifeHistory
6.A9.A$6.3A5.3A$9.A3.A11.3D$8.2A3.2A10.D.D$24.D2.D$24.2D$10.2C$10.2C
9$21.C$2.2A11.2C3.3C$.A.A11.2C2.2C.C$.A$2A!

(Or bolt on an incomplete C-X that happens to put junk in the right place to delete the irritating mess that destroys the lower block and the eater.)
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » November 28th, 2017, 7:23 pm

A new bottom catalyst combination for the standard RF28B allows it to emit the RNE-19T84 glider:
x = 24, y = 35, rule = LifeHistory
10.4B$9.4B$8.4B$7.4B$6.4B$5.4B$4.4B$3.4B$2.6B7.2A$.7B7.A$.9B2.BA.A$
11B.B2A$9BA3B$.7BABA2B$.7BABA2B$3.B2.3BA3B$7.6B$8.6B$8.7B.2B$8.5B2.3B
$8.2BC11B$8.2B2C9B2D$8.B2C11B2D$8.13B2D$9.12BD$10.11B$10.5B2.2B$10.3B
5.AB$12.2B3.A.A$11.B2A3.2A$12.A.A$10.A.A.5A$10.2A6.A$16.A$16.2A!

EDIT: I guess this counts as a R-to-B+H, even though it's most likely useless outside of the context of the Fx119:
x = 23, y = 22, rule = LifeHistory
11.D$10.3D$9.BDB2D$9.6B$9.6B$9.6B$9.6B$8.6B$8.2BC3B$7.2B3C3B$8.3BC2B$
8.7B$6.14B$4.B.2B2A11BD$3.2A3B2A9B3DB$3.2A14BDBD$4.15BD$2.5B2.B2.2B2.
2B$2.2A4.3B$3.A3.B2AB$3A5.2A$A!
Last edited by A for awesome on November 28th, 2017, 7:52 pm, edited 1 time in total.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » November 28th, 2017, 7:36 pm

A for awesome wrote:A new bottom catalyst combination for the standard RF28B allows it to emit the RNE-19T84 glider...

Interesting! Catalysts right next to the R on both sides, though -- is there any known conduit that can produce an R in that location?
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Re: The Hunting of the New Herschel Conduits

Postby Extrementhusiast » November 29th, 2017, 5:49 pm

A for awesome wrote:EDIT: I guess this counts as a R-to-B+H, even though it's most likely useless outside of the context of the Fx119:
x = 23, y = 22, rule = LifeHistory
11.D$10.3D$9.BDB2D$9.6B$9.6B$9.6B$9.6B$8.6B$8.2BC3B$7.2B3C3B$8.3BC2B$
8.7B$6.14B$4.B.2B2A11BD$3.2A3B2A9B3DB$3.2A14BDBD$4.15BD$2.5B2.B2.2B2.
2B$2.2A4.3B$3.A3.B2AB$3A5.2A$A!


That makes me think of something like this:
x = 48, y = 28, rule = LifeHistory
7.2C$7.2C2$6.3D$7.D24.A$5.3D22.3A$29.A$29.2A7.2A$38.A$36.A.A5.C$36.2A
4.3C$41.C$16.2D11.D11.2C$16.2D9.3D$27.D.D$.2A4.2A18.D$.2A4.2A4$6.2A
37.D$2.2A2.2A37.3D$.A.A42.D$.A18.3C$2A19.C15.2C$21.3C14.C$35.3C$35.C!

There's just the block to get rid of (which may be doable with the FNG of the eastern Herschel).
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Re: The Hunting of the New Herschel Conduits

Postby simeks » January 16th, 2018, 6:48 pm

A for awesome wrote:A new bottom catalyst combination for the standard RF28B allows it to emit the RNE-19T84 glider:
x = 24, y = 35, rule = LifeHistory
10.4B$9.4B$8.4B$7.4B$6.4B$5.4B$4.4B$3.4B$2.6B7.2A$.7B7.A$.9B2.BA.A$
11B.B2A$9BA3B$.7BABA2B$.7BABA2B$3.B2.3BA3B$7.6B$8.6B$8.7B.2B$8.5B2.3B
$8.2BC11B$8.2B2C9B2D$8.B2C11B2D$8.13B2D$9.12BD$10.11B$10.5B2.2B$10.3B
5.AB$12.2B3.A.A$11.B2A3.2A$12.A.A$10.A.A.5A$10.2A6.A$16.A$16.2A!

This works too:

x = 25, y = 31, rule = LifeHistory
10.4B$9.4B$8.4B$7.4B$6.4B$5.4B$4.4B$3.4B$2.6B7.2A$.7B7.A$.9B2.BA.A$
11B.B2A$9BA3B$.7BABA2B$.7BABA2B$3.B2.3BA3B$7.6B$8.6B$8.7B.2B$8.5B2.3B
$8.2BC11B$8.2B2C9B2D$8.B2C11B2D$8.13B2D$9.12BD$10.13B.B$10.3B.B2.2B$
11.2B5.AB$10.2BAB3.A.A$11.A.A3.2A$12.A!
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Re: The Hunting of the New Herschel Conduits

Postby A for awesome » January 18th, 2018, 6:37 pm

A Spartan BLx154H with a horrendous repeat time of 496, rescued from the early days of conduitry via the fancy modern ship/eater catalyst:
x = 55, y = 55, rule = LifeHistory
45.B2A$43.2BA2BAB$21.A21.3B2A3B$21.3A17.12B$24.A15.14B$23.2A16.13B$
23.4B14.14B$25.B2A12.15B$24.BA.A12.14B$24.B2A13.13B$13.2A9.3B5.A7.B3D
4B.3B$12.B2AB7.3B6.3A5.2BD4B$13.3B6.5B8.A4.2B3D2B$14.2B3.B2.6B6.2A4.
6B$13.8B.7B5.4B.7B$11.18B7.10B$A10.19B3.B2.9B$3A7.21B.3B.9B$3.A5.22B.
14B$2.2A4.30B.7B$2.4B.38B$4.41B$3.2A41B$3.2AB.39B$4.B3.39B$11.27B.8B$
13.25B.9B$13.24B.11B$14.35B$16.34B$13.B.35B$11.39B$9.41B$9.40B$10.40B
$12.38B$16.34B$16.33B$16.33B$17.33B$17.6BC25B$18.6BC13B.9B$18.6B2C12B
2.6B$20.3B2C13B2.6B.2B$21.2BC13B4.7B2A$22.3B.5B9.6B.B2A$25.6B10.6B.B$
24.6B11.6B$23.8B10.5B$22.4B.2B2AB9.4B$21.4B4.2A8.5B$20.4B15.2A$19.4B
17.A$18.4B15.3A$17.4B16.A!

EDIT: Improvement to HFx158H:
x = 83, y = 32, rule = LifeHistory
61.A4.2A8.A$17.A6.2A34.A.A2.A.A6.3A$16.A.A5.A.A.B.B28.A2.4A7.A$16.A.A
6.A6B27.A.A4.A6.2A$15.2A.2A7.5B26.2A.2A2.2A4.4B$13.A4.B8.6B23.A4.B3.
4B.3B$10.A2.4AB2AB5.6B21.A2.4AB2AB3.6B$10.3A3.A.2AB.2B.8B20.3A3.A.2AB
.7B.B$13.A4.14B24.A4.14B$12.2AB4.12B3.2B19.2AB4.12B3.2B$12.5B.20B17.
5B.20B$14.25B18.25B$12.28B15.28B$12.28B15.28B$11.28B15.28B$11.28B15.
28B$12.26BDB15.26BDB$11.25B3DB14.25B3DB$9.20B2.5BDBD13.20B2.5BDBD$7.
19B5.5BD13.19B5.5BD$7.2BD16B5.5B14.2BD16B5.5B$6.3BDBD4B.9B6.3B14.3BDB
D4B.9B6.3B$7.2B3D4B2.7B25.2B3D4B2.7B$6.5BD4B3.5B25.5BD4B3.5B$5.10B5.
4B24.10B5.4B$4.4B10.4B.B2A21.4B10.4B.B2A$4.3B11.2A3.BA.A20.3B11.2A3.B
A.A$2.4B13.A6.A18.4B13.A6.A$2.2A12.3A7.2A17.2A12.3A7.2A$3.A12.A29.A
12.A$3A40.3A$A42.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: The Hunting of the New Herschel Conduits

Postby googleplex » February 16th, 2018, 3:56 pm

I was wondering if this could be used to make a herschel duplicator:
x = 8, y = 7, rule = B3/S23
2o$2o$$$6bo$5b3o$4b2obo!


A B-heptomino becomes a herschel, and the herschel's FNG hits a block to make a pi, which eventually collides with the B's Block to replenish the original block.
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Re: The Hunting of the New Herschel Conduits

Postby dvgrn » February 16th, 2018, 4:13 pm

googleplex wrote:I was wondering if this could be used to make a herschel duplicator:
x = 8, y = 7, rule = B3/S23
2o$2o$$$6bo$5b3o$4b2obo!


A B-heptomino becomes a herschel, and the herschel's FNG hits a block to make a pi, which eventually collides with the B's Block to replenish the original block.

Yup, that reaction is used in several completed conduits, e.g., BF187H:

x = 47, y = 70, rule = LifeHistory
3.4D2.5D3.D4.3D2.5D.D3.D.D$3.D3.D.D6.2D3.D3.D5.D.D3.D.D$3.D3.D.D7.D3.
D3.D4.D2.D3.D.4D$3.4D2.3D5.D4.3D4.D3.5D.D3.D$3.D3.D.D7.D3.D3.D2.D4.D
3.D.D3.D$3.D3.D.D7.D3.D3.D.D5.D3.D.D3.D$3.4D2.D6.3D3.3D2.D5.D3.D.4D
10$6.4B$7.4B$8.4B$9.4B$10.4B$11.4B$12.4B$13.4B$14.4B10.2A$15.4B8.B2AB
6.A$16.4B7.3B6.A.A$17.4B7.B.B5.A.A$18.4B4.5B4.2A.3A$19.4B2.6B5.B4.A$
20.11B3.B2AB3A$18.12B.2B.B2A.A$16.19B$15.20B$16.18B$16.19B$18.17B$18.
18B$7.2A10.16B$6.B2AB8.19B2.2B$7.3B8.24BD$8.2B8.24BDBD$7.4B6.25B3DB$
7.5B2.30BD$5.38B$5.31B.B.2B$5.28B6.3B$4.30B6.A2B.2A$5.28B6.A.A2B.A$4.
31B4.2AB2.A$3.C32B7.A$.3BC31B3.5A.A$4B2C30B3.A4.A.A$3B2C31B5.A2.A.A$.
2BC31B5.2A3.A$.33B$3.31B$6.2B2A22B$8.2A2B5.16B$10.B6.17B$17.17B$18.
15B$19.12B$19.14B$17.2AB4.2B2.B.B2A.A$16.A.AB4.3B3.B2AB3A$16.A7.B2AB
4.B4.A$15.2A8.2A4.2A.3A$30.A2.2A$30.2A!

Here's a link to the Elementary Conduits thread where some attempt is made to keep an up-to-date collection of this kind of thing.
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