## H-to-G and H-to-Gn converter collection

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MathAndCode
Posts: 4486
Joined: August 31st, 2020, 5:58 pm

### Re: H-to-G and H-to-Gn converter collection

dvgrn wrote:
January 23rd, 2021, 10:56 pm
See HSE19T42 in the Elementary Conduits collection (though it isn't elementary, of course, so it's colored yellow):
I looked through the Elementary Conduits collection, but I didn't notice it because I was specifically looking for the second type. Also, thank you for telling me what the yellow color means.
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

EvinZL
Posts: 444
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

### Re: H-to-G and H-to-Gn converter collection

While looking through "Results of catalyst tests", I found a catalyst which can make an alternate form of NW26T157:

Code: Select all

``````x = 30, y = 36, rule = LifeHistory
5.4B9.2A\$6.4B8.A\$7.4B8.A\$8.4B4.4A2.A\$9.4B2.BA3.3A\$10.4B2.3BA\$11.7B.2A
\$12.9B\$13.6B\$13.6B\$12.9B\$11.11B\$.2A8.11B\$2.A9.10B\$2.A.AB4.14B\$3.2AB.
17B\$5.20B\$5.20B\$6.20B\$5.21B\$3.23B\$.19B.B.B.B2A\$.2BC15B6.BA.A\$3BCBC4B.
9B8.A\$.2B3C4B2.7B9.2A\$5BC4B2.7B\$9B4.6B\$2B10.7B\$B12.6B\$13.7B\$13.6B\$13.
5B\$12.6B\$12.4B\$12.2B2AB\$14.2A!
``````

Code: Select all

``````x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A\$3A7.3A15.3A15.3A7.3A\$.2A7.2A15.A3.A15.2A7.2A\$26.A5.A
\$26.A5.A\$26.3A.3A2\$26.3A.3A\$26.A5.A\$26.A5.A\$27.A3.A\$28.3A!
``````

MathAndCode
Posts: 4486
Joined: August 31st, 2020, 5:58 pm

### Re: H-to-G and H-to-Gn converter collection

EvinZL wrote:
February 3rd, 2021, 3:45 pm
While looking through "Results of catalyst tests", I found a catalyst which can make an alternate form of NW26T157:
Nice! I highly suspected that a smaller version would be possible. Of course, it's also compatible with the SE7T14 output.

Code: Select all

``````x = 30, y = 37, rule = LifeHistory
5.4B9.2A\$6.4B8.A\$7.4B8.A\$8.4B4.4A2.A\$9.4B2.BA3.3A\$10.4B2.3BA\$11.7B.2A
\$12.9B\$13.6B\$13.6B\$12.9B\$11.11B\$.2A8.11B\$2.A9.10B\$2.A.AB4.14B\$3.2AB.17B
\$5.20B\$5.20B\$6.20B\$5.21B\$3.23B\$.19B.B.B.B2A\$.2BC15B6.BA.A\$3BCBC4B.9B8.
A\$.2B3C4B2.7B9.2A\$5BC4B2.7B\$9B4.6B\$2B10.7B\$B12.6B\$13.7B\$13.6B\$13.5B\$12.
6B\$12.2A.B\$12.BA2.B\$10.3A\$10.A!``````
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

dvgrn
Moderator
Posts: 7856
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: H-to-G and H-to-Gn converter collection

MathAndCode wrote:
February 3rd, 2021, 5:29 pm
Nice! I highly suspected that a smaller version would be possible. Of course, it's also compatible with the SE7T14 output.
Seems good to keep the old version and add this as "NW26T157b", since NW26T157a is Spartan.

EvinZL
Posts: 444
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

### Re: H-to-G and H-to-Gn converter collection

Kazyan wrote:
December 10th, 2020, 12:31 am
Known lane, different timing. I think.

Code: Select all

``````x = 45, y = 37, rule = LifeHistory
20.2A\$19.B2AB\$20.3B\$19.B.B\$19.5B\$18.6B\$18.7B\$18.7B\$19.5B\$18.6B\$17.8B\$
6.2A10.7B\$7.A10.7B3.2A\$7.A.AB7.6B4.A\$8.2AB.3B3.6B.BA.A\$10.14B.B2A\$10.
16B18.B\$11.14B18.2B\$10.16B16.3B\$8.18B15.4B\$6.19B15.4B\$6.2BC15B15.4B\$
5.3BCBC15B2.3B7.4B\$6.2B3C4B.10B2.4B5.4B\$5.5BC4B2.16B3.4B\$4.10B4.21B\$
4.3B11.20B\$2.4B12.19B\$2.2A14.18B\$3.A14.17B\$3A16.B2A14B\$A18.B2A6B3.3B.
B2A\$22.8B5.BA.A\$28.2A8.A\$28.A9.2A\$29.3A\$31.A!
``````
The suppressing block at the top can probably be replaced with some other fancy nozzle to get another glider.
Fancy nozzle stolen from chris_c's F131 variant:

Code: Select all

``````x = 40, y = 39, rule = LifeHistory
33.4B\$32.4B\$16.2A13.4B\$17.A12.4B\$16.A12.4B\$16.2A2.2A6.4B\$19.A.A5.4B\$
14.4A.A6.4B\$14.A2.A.2A4.4B\$17.5B2.4B\$18.9B\$18.8B\$17.8B\$6.2A9.7B\$7.A
10.7B3.2A\$7.A.AB7.6B4.A\$8.2AB.3B3.6B.BA.A\$10.14B.B2A\$10.16B\$11.14B\$
10.16B\$8.18B\$6.19B\$6.2BC15B15.B\$5.3BCBC15B2.3B7.2B\$6.2B3C4B.10B2.4B5.
3B\$5.5BC4B2.16B3.4B\$4.10B4.21B\$4.3B11.20B\$2.4B12.19B\$2.2A14.18B\$3.A
14.17B\$3A16.B2A14B\$A18.B2A6B3.3B.B2A\$22.8B5.BA.A\$28.2A8.A\$28.A9.2A\$
29.3A\$31.A!
``````
EDIT by dvgrn: This adds the known NE1T22 to the new NE30T17 -- not to mention the SE-2 FNG, so this is another H-to-3G with the outputs spaced far enough apart that they can be easily separated with Snarks or syringes.

Code: Select all

``````x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A\$3A7.3A15.3A15.3A7.3A\$.2A7.2A15.A3.A15.2A7.2A\$26.A5.A
\$26.A5.A\$26.3A.3A2\$26.3A.3A\$26.A5.A\$26.A5.A\$27.A3.A\$28.3A!
``````

MathAndCode
Posts: 4486
Joined: August 31st, 2020, 5:58 pm

### Re: H-to-G and H-to-Gn converter collection

dvgrn wrote:
February 4th, 2021, 8:39 am
Seems good to keep the old version and add this as "NW26T157b", since NW26T157a is Spartan.
Yes, I figured that I would do that.
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: H-to-G and H-to-Gn converter collection

I modified the following this old h-to-g:

Code: Select all

``````x = 57, y = 72, rule = LifeHistory
3\$15.2E.E\$15.E.2E2\$16.5E\$11.2E2.E4.E\$11.E2.E.BEB\$12.E.E.2EB\$11.2E.E.
4BE\$14.E3.BEBE\$14.2E2.E2BE\$19.2E3B\$21.7B\$21.9B\$21.10B\$21.11B\$17.14B\$
17.14B\$16.16B\$16.17B\$16.11B2E4B\$17.10B2E9B\$17.24B\$17.25B\$18.24B\$19.
24B\$18.26B\$19.26B\$17.29B\$17.2E.21B2E4B\$18.E3.18BE2BE3B\$15.3E5.9B.8B2E
4B\$15.E7.8B3.4B2.6B\$25.5B5.4B2.B\$25.6B5.6B\$25.7B4.7B\$26.2B.4B3.8B\$24.
4B2.4B.10B\$24.2E5.13B\$25.E6.12B\$22.3E8.10B\$22.E10.9B\$23.2E8.9B\$24.E9.
8B\$24.E.EB4.10B\$25.2EB.14B\$27.17B\$27.17B\$28.17B\$27.17B.B\$25.21BE\$23.
19B2.BE.E\$23.2BD16B3.BE\$22.3BDBD4B.10B\$23.2B3D4B2.10B\$22.5BD4B2.11B\$
21.10B4.6B.4B\$20.4B10.7B2.4B\$19.4B12.6B3.4B\$18.4B13.7B3.4B\$18.2EB14.
6B5.4B\$16.3BE15.5B7.4B\$16.3E15.6B8.3B\$16.E17.4B11.2B\$34.2B2EB\$36.2E!
``````

And got this ^^

Code: Select all

``````x = 77, y = 82, rule = LifeHistory
\$36.A\$35.A.A\$26.2A7.A.A\$25.B2AB5.2A.3A\$19.2A5.3B6.B4.A\$18.B2AB2.B2.B
5.B2AB3A\$18.14B.B2A.A\$19.17B\$18.17B\$17.18B\$16.8BA11B\$13.CB.7BABA10B\$
9.2C.C.C8BA2BA8B\$10.C.CA.9B2A8B\$7.B2.C4.B.18B12.B\$7.2C.C3.B4.16B12.B\$
7.2CBC.CB5.17B11.B\$9.2B2CB2.19B2A10.B\$8.4B.22B2A\$9.27B\$10.25B\$14.20B\$
13.22B\$14.22B\$14.21B\$13.9B.12B\$12.9B2.11B\$11.4B4.B4.9B\$10.4B10.9B\$9.
4B12.8B\$8.4B6.B4.10B\$7.4B7.16B\$6.4B8.17B\$5.4B7.19B\$4.4B7.21B\$3.4B8.
20B.B\$2.4B8.23BE\$2.3B9.19B2.BC.E2.3B\$2.2B10.2BC17B2.BE2.5B\$2.B10.3BCB
C16B5.6B\$14.2B3C17B4.2BC4B\$13.5BC17B4.BCBC4B\$12.10B2.13B2.2BCBC6B\$11.
4B10.13B2.2BC8B\$10.4B12.13B2.10B\$9.4B13.14B.10B\$9.ECB14.26B\$7.3BE15.
26B\$7.3E15.27B\$7.E17.4B2.8B.12B\$25.2B2CB.8B2.11B\$27.2E2.7B4.12B\$31.7B
3.14B2.B\$31.8B.19B\$32.3B.24B\$37.14B2C7B\$35.16B2C8B\$35.26B\$33.ECB.24B\$
32.E.EB4.21B\$32.E7.22B\$31.2E9.20B\$43.19B2C\$43.14B4.C2BC2.2E\$44.13B4.C
BCB3.E\$42.ECB.B.9B5.C4B.E.2E\$41.E.EB4.8B7.BCE.E.E\$41.E10.3B9.BEB.E2.E
\$40.2E20.E4.E2.2E\$62.5E2\$64.2E.E\$64.E.2E!
``````
not sure if one can limit that glider generating spark and still also the eater than manages the first hershell natural block...

addendum: too late, it is fixed:

Code: Select all

``````x = 46, y = 60, rule = LifeHistory
4\$35.A\$34.A.A\$25.2A7.A.A\$24.B2AB5.2A.3A\$18.2A5.3B6.B4.A\$17.B2AB2.B2.B
5.B2AB3A\$17.14B.B2A.A\$18.17B\$17.17B\$16.18B\$15.8BA11B\$12.CB.7BABA10B\$
11.C.C8BA2BA8B\$11.CA.9B2A8B\$14.B.18B\$18.16B\$18.17B\$15.19B2A\$14.20B2A\$
14.21B\$15.19B\$10.B2.24B\$13.21B\$13.22B\$11.2C23B\$10.C.C12B.9B\$10.C6.18B
\$9.2C9.2B.B.9B\$24.9B\$14.2C8.9B\$9.4B2.C9.8B\$8.4B3.C.CB4.10B\$7.4B5.2C
16B\$6.4B8.17B\$5.4B7.19B\$4.4B7.21B\$3.4B8.20B.B\$2.4B8.23BE\$2.3B9.19B2.B
C.E\$2.2B10.2BC17B2.BE\$2.B10.3BCBC16B\$16.3C17B\$13.B4.C17B\$12.10B2.13B\$
11.4B10.13B\$10.4B12.13B\$9.4B13.14B\$9.ECB14.10B.4B\$7.3BE15.10B2.4B\$7.
3E15.11B3.4B\$7.E17.4B2.5B4.4B\$25.2B2CB.5B5.4B\$27.2E2.5B6.4B\$31.5B7.3B
\$31.5B8.2B\$32.3B10.B!
``````
EDIT by dvgrn: these chimerical frumious Bandersnatchian hybrids are SW-18T136 and a slightly smaller and slmake-Spartan version of the old composite SE16T36.

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

### Re: H-to-G and H-to-Gn converter collection

New(?) dependent NW10T137 featuring the infamous mega-eater:

Code: Select all

``````x = 36, y = 29, rule = LifeHistory
\$10.16B4.2A\$10.6B2.9B3.A\$11.5B4.6B5.A\$11.4B6.4B5.2A\$23.7B2.2A\$25.2A.
4A2.A\$24.ABABAB.B.2A\$24.A.A.A.2A.A\$22.3A.ABA.A2.A\$21.A3.ABA.A2.A.2A\$
21.2A2.A.A.A.2A.A\$26.2A.A2.A2.A\$30.2A2.2A!``````
I've optimized the monster eater for conduit bounding box, but alternate forms may have better clearance on the diagonals.

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

### Re: H-to-G and H-to-Gn converter collection

Here's an elementary H-to-2Gn (known G9 plus new G14), with a new timing on a known lane, NW17T101 (EDIT: improved block cleanup):

Code: Select all

``````x = 58, y = 114, rule = LifeHistory
11.D3.D.D3.D2.3D4.D3.5D3.D4.3D3.3D\$11.2D2.D.D3.D.D3.D2.2D5.D4.2D3.D3.
D.D3.D\$11.D.D.D.D3.D5.D3.D5.D5.D7.D.D2.2D\$11.D2.2D.D.D.D3.2D4.D5.D5.D
6.D2.D.D.D\$11.D3.D.D.D.D5.D3.D5.D5.D5.D3.2D2.D\$11.D3.D.2D.2D.D3.D3.D
5.D5.D4.D4.D3.D\$11.D3.D.D3.D2.3D3.3D4.D4.3D2.5D2.3D4\$11.D3.D.D3.D3.D
3.5D.5D3.D4.3D4.D\$11.2D2.D.D3.D2.2D7.D3.D4.2D3.D3.D2.2D\$11.D.D.D.D3.D
3.D6.D4.D5.D3.D2.2D3.D\$11.D2.2D.D.D.D3.D5.D5.D5.D3.D.D.D3.D\$11.D3.D.D
.D.D3.D4.D6.D5.D3.2D2.D3.D\$11.D3.D.2D.2D3.D3.D7.D5.D3.D3.D3.D\$11.D3.D
.D3.D2.3D2.D7.D4.3D3.3D3.3D4\$12.3D2.D3.D.5D.5D2.3D5.D\$11.D3.D.D3.D5.D
3.D3.D3.D3.2D\$11.D5.D3.D4.D4.D3.D3.D2.D.D\$12.3D2.D.D.D3.D5.D4.4D.D2.D
\$15.D.D.D.D2.D6.D7.D.5D\$11.D3.D.2D.2D.D7.D7.D4.D\$12.3D2.D3.D.D7.D4.3D
5.D4\$12.3D2.D3.D8.3D2.5D2.3D4.D\$11.D3.D.D3.D7.D3.D3.D3.D3.D2.2D\$11.D
5.D3.D11.D3.D7.D3.D\$12.3D2.D.D.D.5D4.D4.D6.D4.D\$15.D.D.D.D9.D5.D5.D5.
D\$11.D3.D.2D.2D8.D6.D4.D6.D\$12.3D2.D3.D7.5D3.D3.5D2.3D29\$2.4B10.4B\$3.
4B10.4B\$4.4B10.4B\$5.4B10.4B\$6.4B10.4B\$7.4B10.4B\$8.4B9.4B\$9.4B8.5B2.B\$
10.4B6.6B.B2A\$11.4B5.8B2A\$12.4B4.6B.2B\$13.4B2.7B\$14.12B\$8.2A5.11B\$9.A
6.11B\$9.A.AB4.11B\$10.2AB.3B.10B\$12.17B\$12.17B\$13.16B\$12.17B\$10.18B\$8.
19B\$8.2BC15B\$7.3BCBC4B.7B\$8.2B3C12B2.B\$7.5BC12B.B2A\$6.13B.7B2A\$5.4B5.
4B2.5B.2B\$4.4B5.4B.8B\$3.4B5.4B2.4B.2B\$2.4B5.4B3.3BAB\$.4B5.4B5.BABAB\$
4B5.4B6.BABAB\$3B5.4B7.2BA2B\$2B5.4B5.A2.5B2.A\$B5.4B5.A.A.2B.2B.A.A\$5.
4B5.A.A2.2BA2B2.A.A\$4.4B6.A4.BABAB4.A\$3.4B8.A3.BABAB3.A\$2.4B6.3A.BA3B
A3BAB.3A\$.4B6.A3.3AB.3B.B3A3.A\$4B7.3A3.3B.B.3B3.3A\$3B11.6AB.B6A\$2B11.
A2.B2.BA.AB2.B2.A\$B13.A.A.2A3.2A.A.A\$15.2A.A5.A.2A\$20.A.A\$19.2A.2A!``````
EDIT: A related conduit with another new timing on known lane, SE30T22:

Code: Select all

``````x = 52, y = 104, rule = LifeHistory
12.3D2.5D2.3D3.3D2.5D2.3D3.3D\$11.D3.D.D5.D3.D.D3.D3.D3.D3.D.D3.D\$11.D
5.D9.D.D2.2D3.D7.D5.D\$12.3D2.3D5.2D2.D.D.D3.D6.D5.D\$15.D.D9.D.2D2.D3.
D5.D5.D\$11.D3.D.D5.D3.D.D3.D3.D4.D5.D\$12.3D2.5D2.3D3.3D4.D3.5D.5D4\$
12.3D2.D3.D.5D.5D2.3D5.D\$11.D3.D.D3.D5.D3.D3.D3.D3.2D\$11.D5.D3.D4.D4.
D3.D3.D2.D.D\$12.3D2.D.D.D3.D5.D4.4D.D2.D\$15.D.D.D.D2.D6.D7.D.5D\$11.D
3.D.2D.2D.D7.D7.D4.D\$12.3D2.D3.D.D7.D4.3D5.D4\$12.3D2.D3.D8.3D2.5D2.3D
4.D\$11.D3.D.D3.D7.D3.D3.D3.D3.D2.2D\$11.D5.D3.D11.D3.D7.D3.D\$12.3D2.D.
D.D.5D4.D4.D6.D4.D\$15.D.D.D.D9.D5.D5.D5.D\$11.D3.D.2D.2D8.D6.D4.D6.D\$
12.3D2.D3.D7.5D3.D3.5D2.3D31\$22.2A\$22.A.A\$23.AB\$22.2B\$20.5B\$17.B.7B\$
16.2A10B\$16.2AB.10B\$17.B2.11B\$16.2B.12B\$16.15B\$8.2A5.16B\$9.A6.11B.4B\$
9.A.AB4.11B.4B\$10.2AB.3B.10B2.4B\$12.17B2.4B\$12.17B3.4B\$13.16B4.4B\$12.
17B5.4B\$10.18B7.4B\$8.19B9.4B\$8.2BC15B11.3B\$7.3BCBC4B.7B13.2B\$8.2B3C
12B2.B11.B\$7.5BC12B.B2A\$6.13B.7B2A\$5.4B5.4B2.5B.2B\$4.4B5.4B.8B\$3.4B5.
4B2.4B.2B\$2.4B5.4B3.3BAB\$.4B5.4B5.BABAB\$4B5.4B6.BABAB\$3B5.4B7.2BA2B\$
2B5.4B5.A2.5B2.A\$B5.4B5.A.A.2B.2B.A.A\$5.4B5.A.A2.2BA2B2.A.A\$4.4B6.A4.
BABAB4.A\$3.4B8.A3.BABAB3.A\$2.4B6.3A.BA3BA3BAB.3A\$.4B6.A3.3AB.3B.B3A3.
A\$4B7.3A3.3B.B.3B3.3A\$3B11.6AB.B6A\$2B11.A2.B2.BA.AB2.B2.A\$B13.A.A.2A
3.2A.A.A\$15.2A.A5.A.2A\$20.A.A\$19.2A.2A!``````

wwei47
Posts: 631
Joined: February 18th, 2021, 11:18 am

### Re: H-to-G and H-to-Gn converter collection

Sphenocorona wrote:
March 21st, 2021, 12:49 am
Here's an elementary H-to-2Gn (known G9 plus new G14), with a new timing on a known lane, NW17T101
FOUR GLIDERS??? O_O

Code: Select all

``````x = 19, y = 17, rule = Symbiosis
11.A\$9.2A.A\$3.A\$2.3A3.A6.A\$.A2.A3.2A5.A\$A7.A.3A2.2A\$A.3A4.A.4A.3A\$.2A
2.B3.A4.A\$B.B8.2A\$13.A\$12.2A\$7.B3.2A4.2B\$8.2A.A5.A\$10.A3.A\$9.2AB.B\$8.
A2.2B4.B\$8.B9.A!
``````

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

### Re: H-to-G and H-to-Gn converter collection

wwei47 wrote:
March 21st, 2021, 9:35 am
Sphenocorona wrote:
March 21st, 2021, 12:49 am
Here's an elementary H-to-2Gn (known G9 plus new G14), with a new timing on a known lane, NW17T101
FOUR GLIDERS??? O_O
indeed, and also a repeat time of +- 83 which is quite impressive, and that repeat time can improved if 1 SW glider is suppressed.

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

### Re: H-to-G and H-to-Gn converter collection

Jormungant wrote:
March 21st, 2021, 11:56 am
[...it also has] a repeat time of +- 83 which is quite impressive, and that repeat time can improved if 1 SW glider is suppressed.
Oh yeah, I forgot to mention the decent repeat time (which is indeed 83). It can also be overclocked at p81 while retaining all four glider outputs as well. The original slower block cleanup using an eater also left the NW31 lane transparent if I remember correctly, so I guess I shouldve shown both in my edit - maybe I'll do another edit to include both when I have the chance, if that would be useful. The new one is almost entirely better in terms of bounding box and envelope though.

On a side note, I still find it funny how the block in the SE30 output version manages to perform its normal catalysis at just the right time to cleanly eat the NW17 glider with its thumb spark, which would normally just crash into the block and destroy it!

EvinZL
Posts: 444
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

### Re: H-to-G and H-to-Gn converter collection

Package of four known gliders

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``````x = 29, y = 35, rule = LifeHistory
12.4B5.2A\$13.4B4.A.A.2A\$6.2A6.4B5.A.A\$7.A6.4B4.2A.A\$7.A.AB3.5B2.3B.A.
2A\$8.2AB.3BD6B4A2.A\$10.4B2D6BAB2.2A\$10.3B2D7B.3A\$10.4BD7B3.A\$11.4BD4B
5.A.A\$.2A7.10B6.2A\$2.A8.9B\$2.A.AB4.10B\$3.2AB.14B\$5.17B\$5.17B\$6.17B\$5.
17B.B\$3.21BA\$.19B2.BA.A\$.2BC16B3.BA\$3BCBC4B.10B\$.2B3C4B2.10B\$5BC4B2.11B
\$9B4.6B.4B\$2B10.7B2.4B\$B12.6B3.4B\$13.7B3.4B\$14.5B5.4B\$14.6B5.4B\$12.9B
5.3B\$12.2A.7B5.2B\$13.A5.4B5.B\$10.3A7.4B\$10.A10.4B!
``````
It gives a more compact and faster version of one of them

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``````x = 35, y = 37, rule = LifeHistory
17.A\$17.3A\$20.A\$19.2A6.2A\$19.4B4.A.A.2A\$12.2A7.3B5.A.A\$13.A6.4B4.2A.A
\$13.A.AB3.5B2.3B.A.2A\$14.2AB.10B4A2.A\$16.12BAB2.2A\$16.12B.3A\$16.12B3.
A\$17.9B5.A.A\$7.2A7.10B6.2A\$8.A8.9B\$8.A.AB4.10B\$9.2AB.14B\$11.17B\$11.
17B\$12.17B\$11.17B.B\$9.21BA\$7.19B2.BA.A\$7.2BC16B3.BA\$6.3BCBC4B.10B\$7.
2B3C4B2.10B\$6.5BC4B2.11B\$5.10B4.6B.4B\$4.4B10.7B2.4B\$4.3B12.6B3.4B\$2.
4B13.7B3.4B\$2.2A15.6B5.4B\$3.A15.5B7.4B\$3A15.6B8.3B\$A17.4B11.2B\$18.2B
2AB11.B\$20.2A!
``````
EDIT: Is this connectable?

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``````x = 33, y = 35, rule = LifeHistory
7.2B.B3.B.4B5.2A\$5.7B.8B4.A.A.2A\$4.12BD.4B5.A.A\$4.11B3D4B4.2A.A\$4.11B
D7B2.3B.A.2A\$4.15BD6B4A2.A\$.B.15B2D6BAB2.2A\$2A15B2D7B.3A\$2AB.14BD7B3.
A\$.B3.14BD4B5.A.A\$4.20B6.2A\$4.8B4.8B\$2.2AB.5B3.10B\$.A.AB2.18B\$.A7.17B
\$2A7.17B\$10.17B\$9.17B.B\$7.21BA\$5.19B2.BA.A\$5.2BD16B3.BA\$4.3BDBD4B.10B
\$5.2B3D4B2.10B\$4.5BD4B2.11B\$3.10B4.6B.4B\$2.4B10.7B2.4B\$.4B12.6B3.4B\$
4B13.7B3.4B\$3B15.5B5.4B\$2B16.6B5.4B\$B15.9B5.3B\$16.2A.7B5.2B\$17.A5.4B
5.B\$14.3A7.4B\$14.A10.4B!
``````

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``````x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A\$3A7.3A15.3A15.3A7.3A\$.2A7.2A15.A3.A15.2A7.2A\$26.A5.A
\$26.A5.A\$26.3A.3A2\$26.3A.3A\$26.A5.A\$26.A5.A\$27.A3.A\$28.3A!
``````

MathAndCode
Posts: 4486
Joined: August 31st, 2020, 5:58 pm

### Re: H-to-G and H-to-Gn converter collection

Here are two H->G conduits with the same starting point that I found today:

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``````x = 41, y = 35, rule = B3/S23
21b2o\$10bo11bo\$10b3o9bobo\$13bo9b2o\$12b2o4\$39b2o\$39b2o6\$2o\$bo29b2o\$bob
o27b2o\$2b2o7\$2bo\$2bobo20b2o\$2b3o20bo\$4bo10b2o3b2o4b3o\$13bo2bo4bo6bo\$13b
3o4bo\$20b2o\$13b3o\$13bo2bo\$15b2o!``````

Code: Select all

``````x = 40, y = 42, rule = B3/S23
29bo\$28bobo\$26bo2bobo\$25bob2o2b3o\$21b2o2bo3b2o3bo\$21b2o3b3o2b3o\$29bob
o\$28bobo7b2o\$10bo18bo8bo\$10b3o23bobo\$13bo22b2o\$12b2o11\$2o\$bo\$bobo\$2b2o
7\$2bo\$2bobo20b2o\$2b3o20bo\$4bo10b2o3b2o4b3o\$13bo2bo4bo6bo\$13b3o4bo\$20b
2o\$13b3o\$13bo2bo\$15b2o!``````
EDIT by dvgrn: Top H-to-G is NE1T49, bottom H-to-G is SE44T39.
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.