The Hunting of the Elementary Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sphenocorona
Posts: 527
Joined: April 9th, 2013, 11:03 pm

Re: The Hunting of the Elementary Conduits

Post by Sphenocorona » December 29th, 2020, 10:11 pm

(Probably noticed before) Near-miss HRx74B conduit, in four variations:

Code: Select all

x = 107, y = 32, rule = LifeHistory
100.B$99.3D$99.BDB$98.2B3D$98.5B$98.6B$98.6B$98.5B$97.6B$10.2B86.6B$
8.2C4B24.2E28.B28.2BE4B$7.C2BC4B22.E2BE2B24.B2E27.BEBE2B$7.B2C6B21.B
2E5B22.B2E2B25.B2E3B$7.10B20.8B23.4B25.2B2DB$7.9B2E19.9B21.6B24.2B2D
2B$5.11B2E17.10B20.7B23.7B$4.14B16.10B20.9B21.9B$3.15B15.11B19.11B19.
11B$.13B.2B14.13B17.13B17.13B$14B16.14B16.14B16.14B$7BC6B16.7BC6B16.
7BC6B16.7BC6B$7BCBC4B.B14.7BCBC4B.B14.7BCBC4B.B14.7BCBC4B.B$7B3C5B2C
13.7B3C5B2C13.7B3C5B2C13.7B3C5B2C$9BC3B.B2C13.9BC3B.B2C13.9BC3B.B2C
13.9BC3B.B2C$.11B3.B15.11B3.B15.11B3.B15.11B3.B$8B22.8B22.8B22.8B$.7B
23.7B23.7B23.7B$2.5B25.5B25.5B25.5B$2.5B25.5B25.5B25.5B$2.D2B2D25.D2B
2D25.D2B2D25.D2B2D$3.3D27.3D27.3D27.3D$4.D29.D29.D29.D!
I doubt that the transparent beehive reaction shown here can be saved, as the sacrificial block is a delicate reaction. But there might be some alternate catalyst option which can work here.

wwei23

Re: The Hunting of the Elementary Conduits

Post by wwei23 » December 29th, 2020, 10:41 pm

Sphenocorona wrote:
December 29th, 2020, 10:11 pm
Near-miss HRx74B conduit, in four variations:
Maybe there's a better way to deliver this spark?

Code: Select all

x = 24, y = 30, rule = B3/S23
11b2o$11b2o3$11bo$10b3o$9bo3bo$11bo$8bo5bo$8bo5bo$9bo3bo$10b3o5$5b2o$
4bo2bo7b2o$7bo7b2o$7bo$bo3bobo$o3bobo$o4bo$b4o3$14bo$14bobo$14b3o5b2o$
16bo5b2o!

MathAndCode
Posts: 4493
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Elementary Conduits

Post by MathAndCode » December 29th, 2020, 11:39 pm

Sphenocorona wrote:
December 29th, 2020, 10:11 pm
(Probably noticed before) Near-miss HRx74B conduit, in four variations
There might be a better B→G for this.

Code: Select all

x = 57, y = 56, rule = LifeHistory
35.A$35.3A10.A$38.A7.3A$16.2A19.2A6.A$16.2A27.2A$.2A$A2.A$.A.A$2.A$28.
2A$5.2A8.3C10.2A$5.2A9.C$14.3C33.2A$50.A.A$51.A7$3.3D$5.D$4.3D5$53.2A
$53.A.A$55.A$55.2A2$33.A$33.3A$36.A$35.2A7$45.2A$38.2A5.A.A$38.2A7.A$
47.2A2$34.A$33.A.A.2A$33.A.A.A.A$30.2A.A.A.A.A2.A$30.A2.A2.2A.4A$32.2A
4.A$38.A.A$39.2A!
However, this solution is neither elegant nor has a fast repeat time. Perhaps there's a replacement catalyst for the block.
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

MathAndCode
Posts: 4493
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Elementary Conduits

Post by MathAndCode » December 30th, 2020, 7:08 pm

Here's an O→R:

Code: Select all

x = 19, y = 16, rule = LifeHistory
11.2A$11.2A3$12.2C3.D$12.2C2.2D$10.3C4.2D$11.C2$3.A.2A$.3A.2A$A$.3A.2A
$3.A.A$3.A.A$4.A!
I suspect that the block would block the input most of the time, but I'm not sure. Could someone please give me a list of all of the two-glider octomino-creating conduits that we have?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

Sphenocorona
Posts: 527
Joined: April 9th, 2013, 11:03 pm

Re: The Hunting of the Elementary Conduits

Post by Sphenocorona » December 30th, 2020, 10:51 pm

Bajillionth variant of RF28B which produces the known RNE-19T84 glider, but there aren't any conduits to insert the R here as far as I'm aware. Guess it's just another misfit conduit for now:

Code: Select all

x = 46, y = 32, rule = LifeHistory
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.2B5.7B.B$8.5B2.3B5.13B.B
$8.2BC10BD21B$8.2B2C10BD21BD$8.B2C11B2D18B3DB$8.13B2D2B2A15BDBD$9.12B
D3B2A15BD$10.22B3.2B2.2B$10.3B.B2.2B2.10B$11.2B5.AB2.6B$10.2BAB3.A.A
3.3B$11.A.A3.2A4.B$12.A9.2A$22.A$23.A$22.2A!

MathAndCode
Posts: 4493
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 2nd, 2021, 12:07 am

Here are a couple of conduits based off of HL167P:

Code: Select all

x = 25, y = 29, rule = LifeHistory
12.3D$12.D.D$12.D.D$19.2A$19.2A2$2A$.A$.A.A$2.2A2$23.2A$22.A.A$23.A$10.
3C$12.C$10.3C7$10.2A7.2A$10.A4.A3.2A$8.A.A3.A.A$8.2A3.A.A$13.A$12.2A!

Code: Select all

x = 63, y = 61, rule = LifeHistory
28.D$27.3D$27.D.2D2$53.A$51.3A$50.A$50.2A$34.A$33.A.A$34.2A22.2A$59.A
$59.A.2A$51.2A4.3A2.A$51.2A3.A3.2A$6.2A48.4A$7.A34.2A15.A$7.A.A31.A.A
12.3A$8.2A31.A13.A$40.2A14.5A$29.2A29.A$28.A.A27.A$29.A28.2A2$6.2A$6.
2A$29.A$29.3A$32.A$31.2A6$2A$.A39.2A$.A.A30.2A5.A.A$2.2A16.2A12.2A7.A
$20.2A21.2A2$30.A$29.A.A.2A$20.2A7.A.A.A.A$20.2A4.2A.A.A.A.A2.A$2.C23.
A2.A2.2A.4A$2.C.C23.2A4.A$2.3C29.A.A$4.C30.2A11$13.2A$13.2A!
Unfortunately, the latter conduit's staged recovery makes its repeat time very slow.



Edit: Here's a H→W (based off of HR149R):

Code: Select all

x = 28, y = 39, rule = LifeHistory
13.2A$14.A$12.A$12.5A$16.A$10.4A$10.A2.A3$24.A$22.3A$2A19.A$.A19.2A$.
A.A22.2A$2.2A22.A$24.A.A$24.2A$14.2D$15.D.D$16.2D$24.2A$2.C21.A.A$2.C
.C21.A$2.3C21.2A$4.C5$6.A$5.A.A$6.A4$8.2A$7.A.A$7.A$6.2A!


Another edit: Here's an R→W (based off of RLx70B):

Code: Select all

x = 17, y = 12, rule = LifeHistory
7.2A$7.2A6.2A$15.A$13.A.A$.C11.2A$.2C2.2D$2C.D.D$3.2D$13.2A$13.A.A$15.A$15.2A!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

Jormungant
Posts: 336
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Elementary Conduits

Post by Jormungant » January 3rd, 2021, 5:25 pm

Bandersnatchy attempt no 2: This is (yet )an(other) alternative for a R-to-H, with a different clearance.

Code: Select all

x = 49, y = 58, rule = LifeHistory
5$6.4D2.5D4.D3.3D2.D3.D$6.D3.D.D7.2D2.D3.D.D3.D$6.D3.D.D6.D.D2.D3.D.D
3.D3.3D$6.4D2.3D3.D2.D3.3D2.5D2.D3.D$6.D2.D2.D5.5D.D3.D.D3.D2.D3.D$6.
D3.D.D8.D2.D3.D.D3.D2.D3.D$6.D3.D.D8.D3.3D2.D3.D3.4D$41.D$38.3D3$16.
3B$16.B2A2.B$16.B2AB.B$16.4B.B$16.5B$16.6B16.B$15.7B.4B9.3B$15.6B.3B
4.2B2.6B$15.2BC18BD2B$15.2B2C9B2D6BDBD$15.B2C11B2D5B3D$15.13B2D8BD$
16.12BD10B$16.14B.4B$14.15B.4B$13.20B$12.21B$13.20B$14.20B$14.21B$14.
10BD9B2A$12.B2.8BD10B2A$12.B5.5B3D9B$13.B4.16B$14.B.18B$11.2A.9B2A8B$
11.A.A8BA2BA8B$12.AB.7BABA10B$15.8BA11B$16.18B$17.17B3.2A$18.17B3.A$
17.14B.B2A.A$17.B2AB2.B2.B5.B2AB2A$18.2A5.3B6.B$24.B2AB5.2A.2A$25.2A
4.A2.A.2A$31.2A!

MathAndCode
Posts: 4493
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 3rd, 2021, 8:18 pm

Here's a partial H→P:

Code: Select all

x = 22, y = 18, rule = LifeHistory
7.2A$7.2A3$2A16.C$.A16.3C$.A.A14.C.C$2.2A16.C4$6.D.D$6.D.D$6.3D$18.2A
$18.A$19.3A$21.A!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

Sphenocorona
Posts: 527
Joined: April 9th, 2013, 11:03 pm

Re: The Hunting of the Elementary Conduits

Post by Sphenocorona » January 5th, 2021, 4:52 am

Another near-miss conduit, an HF96P (not to be confused with HF95P) with cleanup problems:

Code: Select all

x = 65, y = 56, rule = LifeHistory
56.3D$56.BDB$55.3D2B$55.5B$46.2A6.6B$45.A.A6.6B$37.A7.BA8.5B$36.A.A7.
2B2.2B3.6B$36.A.A6.15B$35.2A.2A4.17B$35.A2.B4.18B$36.AB2AB2.13B2A3B$
34.A.A.2AB.14BABA2B$34.2A4.17B2A2B$40.21B$40.10B.9B$41.8B5.6B$40.9B5.
5B$41.9B5.4B$40.10B6.2B$39.12B$39.13B$39.12B5.2A$39.12B5.A$40.10B3.BA
.A$39.11B3.B2A$27.A11.15B$8.BC17.3A7.18B$7.BCBC19.A6.17B$7.BCBC13.2C
3.2A5.19B$8.BC2B12.C.C9.20B$6.5B14.CB9.20B$5.9B2.6B.3B10.20B$5.22B9.
3BD17B$6.24B6.3B2D17B$5.18B2C5B3D3.4B2D18B$3.20B2C7BD3.4B3D17B$.29B3D
3.4B2D17B2A$.2BC27B5.3B2D16B.B2A$3BCBC20B10.3BD14B5.B$.2B3C17B.B11.
19B$5BC16B14.15B.4B$20B16.14B3.4B$2B5.14BD14.10B.3B4.4B$B4.15BDBD6.2A
5.10B9.4B$5.2C2.10BD2BD7.A6.9B10.4B$6.C2.11B2D2B3.3A8.8B11.4B$3.3C3.
15B3.A14.3B13.4B$3.C6.15B16.5B.2A10.4B$11.13B17.B2A3B.A11.4B$13.5B3.
2B19.2AB2.A13.4B$11.6B29.A15.3B$11.2C.B27.5A.A14.2B$12.C29.A4.A.A14.B
$9.3C32.A2.A.A$9.C33.2A3.A!
The bottom two eaters tame the leftover reaction, but there might be better options that can get rid of everything.

AbhpzTa
Posts: 515
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: The Hunting of the Elementary Conduits

Post by AbhpzTa » January 5th, 2021, 8:40 am

Sphenocorona wrote:
January 5th, 2021, 4:52 am
Another near-miss conduit, an HF96P (not to be confused with HF95P) with cleanup problems:

Code: Select all

x = 65, y = 56, rule = LifeHistory
56.3D$56.BDB$55.3D2B$55.5B$46.2A6.6B$45.A.A6.6B$37.A7.BA8.5B$36.A.A7.
2B2.2B3.6B$36.A.A6.15B$35.2A.2A4.17B$35.A2.B4.18B$36.AB2AB2.13B2A3B$
34.A.A.2AB.14BABA2B$34.2A4.17B2A2B$40.21B$40.10B.9B$41.8B5.6B$40.9B5.
5B$41.9B5.4B$40.10B6.2B$39.12B$39.13B$39.12B5.2A$39.12B5.A$40.10B3.BA
.A$39.11B3.B2A$27.A11.15B$8.BC17.3A7.18B$7.BCBC19.A6.17B$7.BCBC13.2C
3.2A5.19B$8.BC2B12.C.C9.20B$6.5B14.CB9.20B$5.9B2.6B.3B10.20B$5.22B9.
3BD17B$6.24B6.3B2D17B$5.18B2C5B3D3.4B2D18B$3.20B2C7BD3.4B3D17B$.29B3D
3.4B2D17B2A$.2BC27B5.3B2D16B.B2A$3BCBC20B10.3BD14B5.B$.2B3C17B.B11.
19B$5BC16B14.15B.4B$20B16.14B3.4B$2B5.14BD14.10B.3B4.4B$B4.15BDBD6.2A
5.10B9.4B$5.2C2.10BD2BD7.A6.9B10.4B$6.C2.11B2D2B3.3A8.8B11.4B$3.3C3.
15B3.A14.3B13.4B$3.C6.15B16.5B.2A10.4B$11.13B17.B2A3B.A11.4B$13.5B3.
2B19.2AB2.A13.4B$11.6B29.A15.3B$11.2C.B27.5A.A14.2B$12.C29.A4.A.A14.B
$9.3C32.A2.A.A$9.C33.2A3.A!
The bottom two eaters tame the leftover reaction, but there might be better options that can get rid of everything.
Recovery time 144:

Code: Select all

x = 61, y = 57, rule = LifeHistory
57.B$56.3D$56.BDB$55.3D2B$55.5B$46.2A6.6B$45.A.A6.6B$37.A7.BA8.5B$36.
A.A7.2B2.2B3.6B$36.A.A6.15B$35.2A.2A4.17B$35.A2.B4.18B$36.AB2AB2.13B
2A3B$34.A.A.2AB.14BABA2B$34.2A4.17B2A2B$40.21B$40.10B.9B$41.8B5.6B$
40.9B5.5B$41.9B5.4B$40.10B6.2B$39.12B$39.13B$39.12B5.2A$39.12B5.A$40.
10B3.BA.A$39.11B3.B2A$27.A11.15B$8.BC17.3A7.18B$7.BCBC19.A6.17B$7.BCB
C13.2C3.2A5.19B$8.BC2B12.C.C2.5B2.20B$6.5B14.CB4.4B.20B$5.9B2.6B.3B4.
5B.20B$5.22B2.10BD17B$6.33B2D17B$5.18B2C5B3D7B2D18B$3.20B2C7BD7B3D17B
$.29B3D7B2D17B2A$.2BE35B2D16B.B2A$3BEBE20B2.11BD14B5.B$.2B3E17B.B2.
28B$5BE16B6.23B.4B$20B9.21B3.4B$2B5.14B8.17B.3B4.4B$B4.17B7.2A5.10B9.
4B$5.2C2.14B7.A6.9B10.4B$6.C2.15B3.3A8.8B11.4B$3.3C3.15B3.A14.3B13.3B
$3.C6.15B16.5B.2A10.2B$11.13B17.B2A3B.A11.B$13.5B3.2B19.2AB2.A$11.6B
3.2B24.A$11.2C.B4.B2CB19.5A.A$12.C7.2C20.A4.A.A$9.3C32.A2.A.A$9.C33.
2A3.A!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

wwei23

Re: The Hunting of the Elementary Conduits

Post by wwei23 » January 5th, 2021, 9:08 am

I see that that block acts as an "uneater", preventing a spark from dying off.
EDIT: The beehive is a "virtual catalyst". It exists for a little bit to perform its job, after which it disappears again, hence the name. Virtual catalyst.

User avatar
dvgrn
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Posts: 7868
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
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Re: The Hunting of the Elementary Conduits

Post by dvgrn » January 5th, 2021, 10:04 am

AbhpzTa wrote:
January 5th, 2021, 8:40 am
Sphenocorona wrote:
January 5th, 2021, 4:52 am
Another near-miss conduit, an HF96P (not to be confused with HF95P) with cleanup problems...
Recovery time 144...
Wow, nice find, Sphenocorona and AbhpzTa! It's relatively rare to find a new pi output that's actually usable, with enough clearance to be able to take some advantage of the pi's symmetry to produce alternate outputs:

Code: Select all

x = 71, y = 76, rule = LifeHistory
54.A12.4B$52.3A11.4B$51.A13.4B$51.2A11.4B$48.5B10.4B$46.5B11.4B$33.A
11.9B7.4B$14.BC17.3A8.14B2.4B$13.BCBC19.A5.16B.4B$13.BCBC13.2C3.2A2.
23B$14.BC2B12.C.C2.26B$12.5B14.CB4.23B$11.9B2.6B.3B4.24B$11.22B2.10BD
14B$12.33B2D12B$11.18B2C5B3D7B2D11B$9.20B2C7BD7B3D11B$7.29B3D7B2D11B$
7.2BE35B2D11B$6.3BEBE20B2.11BD12B$7.2B3E17B.B2.25B$6.5BE16B6.23B$6.
20B9.22B$6.2B5.14B8.17B.2B$6.B4.17B7.2A4.12B$11.2C2.14B7.A7.9B$2.2A8.
C2.15B3.3A9.8B$3.A5.3C3.15B3.A12.5B.B2A$3A6.C6.15B17.3B.BA.A$A16.13B
16.5B4.A$19.5B3.2B17.2AB6.2A$17.6B3.2B19.A$17.2C.B4.B2CB15.3A$18.C7.
2C16.A$15.3C$15.C4$44.A$44.3A$47.A$46.2AB6.2A$46.5B4.A$48.3B.BA.A$46.
5B.B2A$33.A11.8B$14.BC17.3A8.9B$13.BCBC19.A4.12B$13.BCBC13.2C3.2A2.
13B.2B$14.BC2B12.C.C2.22B$12.5B14.CB4.20B$11.9B2.6B.3B4.22B$11.22B2.
10BD12B$12.33B2D11B$11.18B2C5B3D7B2D11B$9.20B2C7BD7B3D11B$7.29B3D7B2D
11B$7.2BE35B2D12B$6.3BEBE20B2.11BD14B$7.2B3E17B.B2.27B$6.5BE16B6.26B$
6.20B9.26B$6.2B5.14B8.27B$6.B4.17B7.2A5.16B.4B$11.2C2.14B7.A7.14B2.4B
$2.2A8.C2.15B3.3A9.9B7.4B$3.A5.3C3.15B3.A12.5B11.4B$3A6.C6.15B17.5B
10.4B$A16.13B21.2A11.4B$19.5B3.2B22.A13.4B$17.6B3.2B24.3A11.4B$17.2C.
B4.B2CB25.A12.4B$18.C7.2C$15.3C$15.C!
EDIT: I guess the majority of P-to-X conduits won't attach to this P output, at least not ambidextrously, due to the location of the boat catalyst. But here's a sample connection that works at least in one orientation, making another new H-to-G, systemic name SE34T-17:

Code: Select all

x = 56, y = 40, rule = LifeHistory
8.3D2.5D2.3D5.D2.5D9.D3.5D$7.D3.D.D5.D3.D3.2D4.D10.2D7.D$7.D5.D9.D2.D
.D4.D11.D6.D$8.3D2.3D5.2D2.D2.D4.D3.5D3.D5.D$11.D.D9.D.5D3.D11.D4.D$
7.D3.D.D5.D3.D4.D4.D11.D3.D$8.3D2.5D2.3D5.D4.D10.3D2.D5$14.BA$13.BABA
$13.BABA13.2A$14.BA2B12.A.A4.2A$12.5B14.AB2.2B2AB6.2A$11.9B2.6B.3B3.
4B7.A$11.22B2.6B2.BA.A$12.30B.B2A$11.18B2A13B$9.20B2A13B$7.37B$7.2BC
34B$6.3BCBC20B4.9B$7.2B3C17B.B4.11B$6.5BC16B7.BAB.B3.4B$5.21B9.A.A.2A
3.4B$4.4B5.14B6.3A.ABA5.4B$4.3B4.17B4.A3.A4.A4.4B$2.4B5.2A2.14B4.A2.A
.4A5.4B$2.2A8.A2.15B4.A.A.A9.4B$3.A5.3A3.15B5.A3.3A7.4B$3A6.A6.15B10.
A8.4B$A16.13B21.4B$19.5B3.2B23.4B$17.6B3.2B25.3B$17.2A.B4.B2AB25.2B$
18.A7.2A27.B$15.3A$15.A!
(I guess this is really more taking advantage of the queen bee's symmetry, but anyway it's definitely a good discovery.)

MathAndCode
Posts: 4493
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 5th, 2021, 10:29 am

wwei23 wrote:
January 5th, 2021, 9:08 am
I see that that block acts as an "uneater", preventing a spark from dying off.
EDIT: The beehive is a "virtual catalyst". It exists for a little bit to perform its job, after which it disappears again, hence the name. Virtual catalyst.
That's also how I suppressed the blinker here (although I would 'still like a stable completion).
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

wwei23

Re: The Hunting of the Elementary Conduits

Post by wwei23 » January 10th, 2021, 12:49 pm

A P6 partial that if completed, would allow a stabilization of this:

Code: Select all

x = 45, y = 48, rule = LifeHistory
20.D$19.3D$21.2D8$5.A$4.A.A5.2A$A2.A2.A4.A2.A$4A.A.2A2.A.2A$5.A3.A.A.
A$A2.2A.A.2A.A.A$A.2A2.A.A.2A.2A$2A2.A.A2.A.A.A$2.A5.2A3.A$2A3.3A.A.A
.2A6.3A$2A3.2A2.A.2A2.A5.ABA$.A7.2A2.A2.A3.A2BA$.A7.2A2.A2.A2.A3BAB2A
$2A3.2A2.A.2A2.A2.3A2BAB2A$2A3.3A.A.A.2A3.A5BAB7.2A$2.A5.2A3.A3.4BA2B
A7.A.A$2A2.A.A2.A.A.A3.3BA3BA7.BA$A.2A2.A.A.2A.2A2.3BA3BAB7.2B$A2.2A.
A.2A.A.A4.2BA6B5.4B$5.A3.A.A.A5.A6BA10B$4A.A.2A2.A.2A6.4BABA9B$A2.A2.
A4.A2.A7.3BABA10B$4.A.A5.2A8.4BA11B$5.A16.16B$21.16B$21.3BA2BD8B$22.
2BAB3D6B$22.2BA2D8B$21.15B$22.14B2.2A$23.5B.6B.2B2AB$25.2B3.B5.4B$24.
4B8.2BA$24.B2AB8.BABA3.B$25.2A10.AB.A.B2A$39.2BAB2A$39.2A3B$40.4B!
EDIT: Trying w16 next.

MathAndCode
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 10th, 2021, 2:59 pm

Here's a C→S:

Code: Select all

x = 34, y = 25, rule = LifeHistory
16.2C$14.3C$15.C2$24.D$3.A.2A17.2D$.3A.2A18.2D$A25.D$.3A.2A$3.A.A$3.A
.A$4.A2$10.2A$5.2A2.A2.A$2.A2.A4.A.A$.A.A.A5.A6.2A$2.A2.A.2A9.2A$5.A2.
A$6.A4.A$7.5A2$9.A$8.A.A$9.A!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

wwei23

Re: The Hunting of the Elementary Conduits

Post by wwei23 » January 10th, 2021, 3:17 pm

MathAndCode wrote:
January 10th, 2021, 2:59 pm
Here's a C→S:
Impressive! While centuries do flail around, as you have shown, this leads to more room for catalysts!

MathAndCode
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 10th, 2021, 3:34 pm

We finally have a second way to turn a wing sequence into something besides a glider!

Code: Select all

x = 11, y = 11, rule = LifeHistory
2.2C$2.DC.C$.2D.2C3.2A$2D7.2A$.D3$7.2A$7.A.A$9.A$9.2A!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

wwei23

Re: The Hunting of the Elementary Conduits

Post by wwei23 » January 10th, 2021, 10:37 pm

wwei23 wrote:
January 10th, 2021, 12:49 pm
A P6 partial that if completed, would allow a stabilization of this:
EDIT: Trying w16 next.
w16 negative. Here are the two longest partials:

Code: Select all

x = 28, y = 27, rule = B3/S23
13b2o$12bo2bo$5bo2bo2bo4bo2bo2bo$3b9ob2ob9o$2bo9bo2bo9bo$3b7ob2o2b2ob
7o$8bo4b2o4bo$5bo3b10o3bo$4bob4o8b4obo$4bo2bo2b2o4b2o2bo2bo$3b2o3b3ob
o2bob3o3b2o$2bo2b3obo2bo2bo2bob3o2bo$2b2o20b2o$4b2o5bo4bo5b2o$4bobo4b
ob2obo4bobo$5bob4obo2bob4obo$3bobobo2bobo2bobo2bobobo$b3obo2bo10bo2bo
b3o$o4b2obo2bo4bo2bob2o4bo$b4o3b2o8b2o3b4o$5b2o3b2o4b2o3b2o$3b2o2bob2o
b4ob2obo2b2o$2bo2bo2b2o3b2o3b2o2bo2bo$3b2o6bo4bo6b2o$7bo3b6o3bo$6bobo
2bo4bo2bobo$10b2o4b2o!

Code: Select all

x = 32, y = 29, rule = B3/S23
14b2o$13bo2bo$6bo2bo2bo4bo2bo2bo$4b9ob2ob9o$3bo9bo2bo9bo$4b7ob2o2b2ob
7o$9bo4b2o4bo$6bo3b10o3bo$5bob4o8b4obo$5bo2bo2b2o4b2o2bo2bo$4b2o3b3ob
o2bob3o3b2o$3bo2b3obo2bo2bo2bob3o2bo$3b2o20b2o$b2o2b2o5bo4bo5b2o2b2o$
o2bobobo4bob2obo4bobobo2bo$b3o2bob4obo2bob4obo2b3o$4bobobo2bobo2bobo2b
obobo$3bo2bobobo8bobobo2bo$3bobo2b3o8b3o2bobo$2b2ob4ob2o6b2ob4ob2o$bo
2bo6b2o4b2o6bo2bo$2bo2bo2bo4b4o4bo2bo2bo$3b2o3bob2o2b2o2b2obo3b2o$8bo
bo8bobo$10bo2bo2bo2bo$7b2o2b2o4b2o2b2o2$14b2o$14b2o!
Trying w18 next.

MathAndCode
Posts: 4493
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 10th, 2021, 11:22 pm

wwei23 wrote:
January 10th, 2021, 12:49 pm
A P6 partial that if completed, would allow a stabilization of this:
Will the century still be able to get in?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

wwei23

Re: The Hunting of the Elementary Conduits

Post by wwei23 » January 10th, 2021, 11:29 pm

MathAndCode wrote:
January 10th, 2021, 11:22 pm
Will the century still be able to get in?
Don't know, but it's still better than the Achim's P144 stabilization. I'm more concerned about it bonking the sparker though...

Code: Select all

x = 45, y = 48, rule = LifeHistory
20.D$19.3D$21.2D8$5.B$4.BDB5.2B$B2.B2DB4.B2DB$4BDBD2B2.BD2B$5DB3DB.BD
B$B2D2BDBD2B.BDB$BD2B2DBDBD2BD2B$2B2DBDB2DBDBDB$2DB5D2B3DB$2B3D3BDBDB
D2B6.3A$2B3D2B2DBD2B2DA5.ABA$.B7D2B2DB2DA3.A2BA$.B7D2B2DB2DA2.A3BAB2A
$2B3D2B2DBD2B2DA2.3A2BAB2A$2B3D3BDBDBD2B3.A5BAB7.2A$2DB5D2B3DB3.4BA2B
A7.A.A$2B2DBDB2DBDBDB3.3BA3BA7.BA$BD2B2DBDBD2BD2B2.3BA3BAB7.2B$B2D2BD
BD2B.BDB4.2BA6B5.4B$5DB3DB.BDB5.A6BA10B$4BDBD2B2.BD2B6.4BABA9B$B2.B2D
B4.B2DB7.3BABA10B$4.BDB5.2B8.4BA11B$5.B16.16B$21.16B$21.3BA2BD8B$22.
2BAB3D6B$22.2BA2D8B$21.15B$22.14B2.2A$23.5B.6B.2B2AB$25.2B3.B5.4B$24.
4B8.2BA$24.B2AB8.BABA3.B$25.2A10.AB.A.B2A$39.2BAB2A$39.2A3B$40.4B!

MathAndCode
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 11th, 2021, 11:46 am

I'm having difficulty isolating this two-glider octomino.

Code: Select all

x = 18, y = 14, rule = LifeHistory
15.2C$14.C2.C$2A11.C2.C$2A11.3C7$9.2D$9.2D$10.3D$11.D!


Edit: Here's a mostly-complete D→P with very good output clearance.

Code: Select all

x = 29, y = 32, rule = LifeHistory
23.A$21.3A$20.A$20.2A$2A$.A$.A.A$2.2A$18.2C$17.C2.C$16.C2.C$16.3C2$27.2A$27.2A15$7.D.D$7.D.D$7.3D!



Another edit: Here's a complete D→R:

Code: Select all

x = 45, y = 21, rule = LifeHistory
36.A$35.A.A$36.A2$34.5A$34.A4.A$37.A2.A$37.2A.A2.A$14.D19.A5.A.A.A$13.
3D7.2C8.A.A4.A2.A$2A13.D6.C2.C7.A2.A2.2A$2A19.C2.C9.2A$21.3C5$34.2A$34.
A.A$36.A$36.2A!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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Kazyan
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Re: The Hunting of the Elementary Conduits

Post by Kazyan » January 11th, 2021, 8:15 pm

H-to-R:

Code: Select all

x = 55, y = 47, rule = LifeHistory
4$25.2A.2A$26.A.A$21.2A.A5.A.2A$20.A.A.2A3.2A.A.A$19.A6.A.A6.A$20.6A
3.6A$17.3A15.3A$17.A3.3A7.3A3.A$18.3A2.A3.A3.A2.3A$21.A4.ABA4.A$20.A
5.ABA5.A$20.A.A4.A4.A.A$21.A.A7.A.A13.A$22.A9.A12.3A$27.A16.A$26.ABA
15.2A$26.ABA$27.A3$36.C$36.3C$36.C.C$38.C6$33.D$15.2A16.2D$15.2A15.2D
2$24.2A$24.2A!
Unfortunately, the R is in such an awkward spot that there's not much to do with it.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

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Entity Valkyrie 2
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Re: The Hunting of the Elementary Conduits

Post by Entity Valkyrie 2 » January 11th, 2021, 8:36 pm

Well, there's still this:

Code: Select all

x = 32, y = 39, rule = B3/S23
10b2ob2o$11bobo$6b2obo5bob2o$5bobob2o3b2obobo$4bo6bobo6bo$5b6o3b6o$2b
3o15b3o$2bo3b3o7b3o3bo$3b3o2bo3bo3bo2b3o$6bo4bobo4bo$5bo5bobo5bo$5bobo
4bo4bobo$6bobo7bobo$7bo9bo$12bo$11bobo$11bobo$12bo3$21bo$21b3o$21bobo$
23bo7$2o27b2o$2o29bo$29b2o$9b2o18bo$9b2o2$22bo$21bobo$21b2o!
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

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MathAndCode
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode » January 11th, 2021, 8:37 pm

Entity Valkyrie 2 wrote:
January 11th, 2021, 8:36 pm
Well, there's still this:
Yes, but trying to feed Conduit 1 into the input causes the input to be blocked.

Code: Select all

x = 46, y = 43, rule = B3/S23
10b2ob2o$11bobo$6b2obo5bob2o$5bobob2o3b2obobo$4bo6bobo6bo$5b6o3b6o$2b
3o15b3o$2bo3b3o7b3o3bo$3b3o2bo3bo3bo2b3o$6bo4bobo4bo$5bo5bobo5bo$5bob
o4bo4bobo$6bobo7bobo$7bo9bo$12bo$11bobo$11bobo$12bo2$44bo$43bo$43bo$39b
2o2b3o$39b2o6$42b2o$2o41bo$2o40bo$33b2o7b2o$9b2o22b2o$9b2o2$22bo$21bo
bo$21b2o$30b2o$30bo$31bo$30b2o!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

wwei23

Re: The Hunting of the Elementary Conduits

Post by wwei23 » January 11th, 2021, 9:16 pm

This doesn't work either :(

Code: Select all

x = 46, y = 50, rule = LifeHistory
10.2A.2A$11.A.A$6.2A.A5.A.2A$5.A.A.2A3.2A.A.A$4.A6.A.A6.A$5.6A3.6A$2.
3A15.3A$2.A3.3A7.3A3.A$3.3A2.A3.A3.A2.3A$6.A4.A.A4.A$5.A5.A.A5.A$5.A.
A4.A4.A.A$6.A.A7.A.A$7.A9.A$12.A$11.A.A$11.A.A$12.A2$44.A$43.A$43.A$
39.2A2.3A$39.2A6$18.D23.2A$2A16.2D7.2C14.A$2A15.2D8.2C13.A$42.2A$9.2A
$9.2A19.A$30.A$22.3A$30.A$21.A3.A3.A.A$22.3A$29.3A3$29.3A$22.3A$21.A
3.A3.A.A$30.A$22.3A$30.A$30.A!

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