## 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

(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

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

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

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

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

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

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

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

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

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

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.

dvgrn
Moderator
Posts: 7868
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: The Hunting of the Elementary Conduits

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
Joined: August 31st, 2020, 5:58 pm

### Re: The Hunting of the Elementary Conduits

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

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

### Re: The Hunting of the Elementary Conduits

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

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

### Re: The Hunting of the Elementary Conduits

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

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
Joined: August 31st, 2020, 5:58 pm

### Re: The Hunting of the Elementary Conduits

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

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

### Re: The Hunting of the Elementary Conduits

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.

Kazyan
Posts: 1094
Joined: February 6th, 2014, 11:02 pm

### Re: The Hunting of the Elementary Conduits

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.

Entity Valkyrie 2
Posts: 1055
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

### Re: The Hunting of the Elementary Conduits

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.

My recent rules:
StateInvestigator 3.0
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

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

### Re: The Hunting of the Elementary Conduits

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

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!
``````