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

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

Post by MathAndCode » January 23rd, 2021, 11:12 pm

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 reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

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

Post by EvinZL » 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:

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: 3609
Joined: August 31st, 2020, 5:58 pm

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

Post by MathAndCode » February 3rd, 2021, 5:29 pm

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 reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

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

Post by dvgrn » February 4th, 2021, 8:39 am

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.

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

Post by EvinZL » February 4th, 2021, 11:26 am

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: 3609
Joined: August 31st, 2020, 5:58 pm

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

Post by MathAndCode » February 4th, 2021, 11:42 am

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 reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

Jormungant
Posts: 293
Joined: May 27th, 2016, 1:01 am

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

Post by Jormungant » February 8th, 2021, 6:50 pm

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: 521
Joined: April 9th, 2013, 11:03 pm

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

Post by Sphenocorona » February 11th, 2021, 1:23 am

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

Code: Select all

x = 36, y = 29, rule = LifeHistory
4.4B$5.4B$6.4B$7.4B.B$8.6B$9.6B8.2B$3.4B2.7B3.7B$.26B$B2ABD23B$3ABCAD
21B.3B$B2AB3CB2A22B$3AB2ADB2A21B2A$2A27B.B2A$5.23B3.B$7.B2.18B$10.17B
$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.

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