The Hunting of the Elementary Conduits

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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Entity Valkyrie 2
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Re: The Hunting of the Elementary Conduits

Post by Entity Valkyrie 2 »

MathAndCode wrote: November 17th, 2021, 4:17 am Here is a p5 conduit that turns a U-turner into a Herschel.

Code: Select all

x = 27, y = 40, rule = LifeHistory
18.2A$19.A$19.A.2A$16.A.2A2.A$16.A3.2A$16.A.2A$17.A.A$15.A$16.A16$2.D
$D.D$3D$D19.4C$19.C$19.C$20.C3$13.A$3.2A7.A.A$3.2A3.A4.A7.2A$7.A.A11.
A.A$8.A.A8.A.A.3A$10.A8.2A5.A$10.2A13.2A!
Other periods can probably also be accomplished.
U to H+U:

Code: Select all

x = 27, y = 38, rule = B3/S23
22bo$21bobo$21bobo$20b2ob3o$26bo$20b2ob3o$20b2obo$8b2o$8b2o4$13bo2$13b
2o$12bo2bo$15bo$15bo$15bo4$2bo$2bo$3o$o19b4o$19bo$19bo$20bo3$13bo$3b2o
7bobo$3b2o3bo4bo7b2o$7bobo11bobo$8bobo8bobob3o$10bo8b2o5bo$10b2o13b2o!
The eater one on the top left survives three catalyses.

Code: Select all

x = 27, y = 38, rule = B3/S23
22bo$14bo6bobo$13bobo5bobo$6b2o6bo5b2ob3o$7bo18bo$7bobo10b2ob3o$8b2o
10b2obo6$13bo2$13b2o$12bo2bo$15bo$15bo$15bo4$2bo$2bo$3o$o19b4o$19bo$
19bo$20bo3$13bo$3b2o7bobo$3b2o3bo4bo7b2o$7bobo11bobo$8bobo8bobob3o$10b
o8b2o5bo$10b2o13b2o!
#C [[ STOP 383 ]]
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C28
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Re: The Hunting of the Elementary Conduits

Post by C28 »

Entity Valkyrie 2 wrote: November 17th, 2021, 7:37 am U to H+U:

Code: Select all

x = 27, y = 38, rule = B3/S23
22bo$21bobo$21bobo$20b2ob3o$26bo$20b2ob3o$20b2obo$8b2o$8b2o4$13bo2$13b
2o$12bo2bo$15bo$15bo$15bo4$2bo$2bo$3o$o19b4o$19bo$19bo$20bo3$13bo$3b2o
7bobo$3b2o3bo4bo7b2o$7bobo11bobo$8bobo8bobob3o$10bo8b2o5bo$10b2o13b2o!
unfortunly the U output can't connect to anything
still, nice conduit!
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Re: The Hunting of the Elementary Conduits

Post by Entity Valkyrie 2 »

C28 wrote: November 17th, 2021, 8:37 am
Entity Valkyrie 2 wrote: November 17th, 2021, 7:37 am U to H+U:

Code: Select all

x = 27, y = 38, rule = B3/S23
22bo$21bobo$21bobo$20b2ob3o$26bo$20b2ob3o$20b2obo$8b2o$8b2o4$13bo2$13b
2o$12bo2bo$15bo$15bo$15bo4$2bo$2bo$3o$o19b4o$19bo$19bo$20bo3$13bo$3b2o
7bobo$3b2o3bo4bo7b2o$7bobo11bobo$8bobo8bobob3o$10bo8b2o5bo$10b2o13b2o!
unfortunly the U output can't connect to anything
still, nice conduit!
Is it possible to suppress the extraneous U?
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode »

MathAndCode wrote: November 17th, 2021, 4:17 am Here is a p5 conduit that turns a U-turner into a Herschel.
I got an S-sequence with the same initial pair of catalysts.

Code: Select all

x = 30, y = 31, rule = LifeHistory
20.2D$4.A16.2D$3.A.A16.2D$3.A2.A$4.2A4$2A$.A$.A.A$2.2A7$23.4C$22.C$22.C$23.C$9.2A$10.A$7.3A6.A$7.A7.A.A$16.A7.2A$24.A.A$22.A.A.3A$22.2A5.A$28.2A!
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Re: The Hunting of the Elementary Conduits

Post by C28 »

MathAndCode wrote: November 17th, 2021, 7:59 pm
MathAndCode wrote: November 17th, 2021, 4:17 am Here is a p5 conduit that turns a U-turner into a Herschel.
I got an S-sequence with the same initial pair of catalysts.

Code: Select all

x = 30, y = 31, rule = LifeHistory
20.2D$4.A16.2D$3.A.A16.2D$3.A2.A$4.2A4$2A$.A$.A.A$2.2A7$23.4C$22.C$22.C$23.C$9.2A$10.A$7.3A6.A$7.A7.A.A$16.A7.2A$24.A.A$22.A.A.3A$22.2A5.A$28.2A!
nice
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Re: The Hunting of the Elementary Conduits

Post by GUYTU6J »

MathAndCode wrote: November 22nd, 2021, 1:41 am
hotcrystal0 wrote: November 21st, 2021, 11:15 amEdit: Transparent beehive

Code: Select all

x = 10, y = 8, rule = B3/S23
bo$obo$obo$bo2$7bo$6b3o$8b2o!
That yields a periodic C→G conduit...
That transparent beehive is the basis of an century eater on LifeWiki, which was featured in Callahan's bistable switch in 1994. There is a 2016 list of transparent objects that is worth checking.

Blending that honey farm with the beehive+fishhook combo in RNE-19T84 is clever, though. I looked at this list of honey farm catalysts, and then I realized that half of beehive push catalyst works:

Code: Select all

x = 25, y = 33, rule = LifeHistory
9.4B$8.4B$7.4B$6.4B$5.4B$4.6B7.2A$3.7B7.A$3.9B2.BA.A$2.11B.B2A$2.9BA
3B7.A$3.7BABA2B5.3A$3.7BABA2B4.A$5.B2.3BA3B4.A.2A$9.7B2.2A.A.A$10.5B
2.AB2.B2.A$10.6B.B7A$11.10B$11.7B.B3A$9.11BAB.A$7.B2E9B3.2A$5.2BE2BE
8B$4.4B2E9B$4.13B.B2A$3.14B.BA.A$2.15B4.A$2.2B3C9B5.2A$2.4BC8B$3BCB2C
4B2.B$3B2C8B$13B$12B$.9B$2.B2.2B!
This new CNE... (I cannot find a recognizer script for that) converter may lead to new edgeshooters, like this one with syringe and HR43C, but its clearance is -2 lanes:

Code: Select all

x = 36, y = 68, rule = LifeHistory
20.4B$19.4B$18.4B$17.4B$16.4B$15.6B7.2A$14.7B7.A$14.9B2.BA.A$13.11B.B
2A$13.9BA3B7.A$14.7BABA2B5.3A$14.7BABA2B4.A$16.B2.3BA3B4.A.2A$20.7B2.
2A.A.A$21.5B2.AB2.B2.A$21.6B.B7A$22.10B$22.7B.B3A$7.A12.11BAB.A$7.3A
8.B2E9B3.2A$10.A5.2BE2BE8B$5.4A.A4.4B2E9B$4.A3.A.2A3.13B.B2A$4.2A2.2B
.B.15B.BA.A$6.A.20B4.A$4.3A8B3D9B5.2A$2A.A3.10BD8B$2A.A.2A3.4BDB2D4B
2.B$3.A.A3.5B2D8B$3.A.A3.15B$4.A3.15B$8.13B$7.11B$8.11B$8.11B$8.11B8.
A$6.2AB2.4B3DB3.2A2.A.A$5.A.AB3.4BD2B3.A.A2.A.A$5.A6.2B3D2B4.B.2A2.A$
4.2A7.6B3.2B2.A.A$13.7B.2BAB.A.2A$13.9BA.A.A$14.8B.A2.4A$14.6B4.2A3.A
$13.6B6.B.A$13.7B3.B2AB2A$14.8B.B2A$14.10B3.2A$13.3B2E6B4.A$7.2A5.2B
2E6B3.A$8.A5.10B3.2A$8.A.AB2.11B$9.2AB.2B3A7B$11.6BA8B$11.5BA10B$11.
16B.2B$12.17B2A$14.13B.B2A$15.8B.4B.B$16.7B$16.6B$16.4B$14.A3B$13.A.A
B$13.A.A$14.A$11.3A$11.A!
So now it is time to do serious research to find something at a reasonable recovery time that connects to PF*39C. Hopefully there will be an alternative edge-shooter replacing the old L156+RNE-19T84 one when it is not easy to remove the extra perpendicular glider.

Code: Select all

x = 28, y = 47, rule = B3/S23
20b2o$20bo$18bobo$18b2o$14bo10bo$13bobo7b3o$13bobo6bo$14bo7bob2o$21b2o
bobo$20bo6bo$21b7o2$23b3o$23bo2bo$11b2o12b2o$10bo2bo$11b2o$22b2o$22bob
o$24bo$24b2o7$o$3o$3bo$2bo$2b2o4$6b3o4b2o$8bo4b2o$6b3o7$4bo$3bobo$3b2o!
Further remarks: the complex still life is simply to delete a leftover boat on the other side. A Spartan version of this C-to-G seems hard as there is little space for catalysts on this side.
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Re: The Hunting of the Elementary Conduits

Post by Extrementhusiast »

GUYTU6J wrote: November 22nd, 2021, 3:06 am So now it is time to do serious research to find something at a reasonable recovery time that connects to PF*39C. Hopefully there will be an alternative edge-shooter replacing the old L156+RNE-19T84 one when it is not easy to remove the extra perpendicular glider.
Or, to kick the can down the road, CBx37C:

Code: Select all

x = 42, y = 40, rule = LifeHistory
26.4B$25.4B$24.4B$23.4B$22.4B$21.6B7.2A$20.7B7.A$19.D9B2.BA.A$18.D11B
.B2A$17.D.9BA3B7.A$16.D2.D7BABA2B5.3A$15.D2.D.7BABA2B4.A$14.D2.D4.B2.
3BA3B4.A.2A$13.D2.D9.7B2.2A.A.A$12.D2.D11.5B2.AB2.B2.A$11.D2.D12.6B.B
7A$10.D2.D14.10B$9.D2.D15.7B.B3A$8.D2.D14.11BAB.A$7.D2.D13.B2E9B3.2A$
6.D2.D12.2BE2BE8B$5.D2.D12.4B2E9B$4.D2.D5.2A6.13B.B2A$3.D2.D6.A.B4.
14B.BA.A$2.D2.D4.2A.A.3B.15B4.A$.D2.D5.2A.2A3B.2B3D9B5.2A$D2.D10.9BD
8B$2.D12.5BDB2D4B2.B$.D14.4B2D8B$D14.15B$15.14B$14.13B$14.2B3C5B$13.
3BC7B$13.3B2CBC4B$11.2AB.3B2C3B$10.A.AB.7B$10.A5.6B$9.2A5.5B$17.4B!
(Sadly, HR160C doesn't fit here.)

I take it that the recovery time of 127 on HSW47T214 is considered unreasonable?
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Re: The Hunting of the Elementary Conduits

Post by Jormungant »

well, this is +- decent a h-to-g3 I would guess:

Code: Select all

x = 60, y = 67, rule = LifeHistory
3$31.2A$31.A.A$32.AB$31.2B$29.5B$28.7B$27.8B3.BA$28.8B.BA.A$29.10BA$
28.9B.B$27.9B$27.9B$28.8B$26.11B$22.16B$21.17B$21.17B$22.17B.B$21.19B
2A$19.19B.B2A$17.20B3.B$17.2BC15B$16.3BCBC14B$17.2B3C13B$16.5BC4B2.7B
.3B.B$15.10B2.15B$14.4B9.15B$14.3B8.19B$12.4B9.19B$25.19B$24.20B$24.
21B$16.4B.27B3.B$15.34B.B2A$15.36B2A$16.33B.2B$8.2B8.31B$6.6B8.7B2D
19B$5.7B9.4BD2BD15B$4.9B7.5BDBD13B$3.9B8.5B3D2B3.3B3.B$3.9B7.BE9B3.5B
$3.10B6.EBE8B6.2A$3.B.9B4.BEBE8B6.A$7.3B2A4B2.2BE9B7.3A$7.2BA2BA14B.
2B9.A$8.2B2A15B.2B$9.19B$7.20B$7.2A4.B.11B$8.A7.9B$5.3A6.A7B$5.A7.ABA
B.6B$11.3A.A3B3.2A$10.A4.AB2A3.A$10.A.2ABA.AB4.3A$9.2A.A2.A.A.A5.A$
13.A.A2.2A$14.2A!
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Re: The Hunting of the Elementary Conduits

Post by C28 »

U to S

Code: Select all

x = 31, y = 20, rule = B3/S23
5bo$5b3o$8bo$7b2o$18b3o$18b3o$17bobo$o16b2o$3o$3bo$2bo$2b2o2$24b2obo$
24b2ob3o$30bo$24b2ob3o$25bobo$25bobo$26bo!
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hotdogPi
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Re: The Hunting of the Elementary Conduits

Post by hotdogPi »

This has to be known, right? (LOM → B)

Code: Select all

x = 16, y = 23, rule = B3/S23
7bo$5b3o$4bo$4b2o4$o$2o$b2o$2bo$5b2o$4bo2bo2b2o$4bobo4bo2bo$5bo5bobobo
$8b2obo2bo$8bo2bo$5bo4bo$5b5o2$7bo$6bobo$7bo!
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
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C28
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Re: The Hunting of the Elementary Conduits

Post by C28 »

hotdogPi wrote: December 10th, 2021, 2:09 pm This has to be known, right? (LOM → B)

Code: Select all

x = 16, y = 23, rule = B3/S23
7bo$5b3o$4bo$4b2o4$o$2o$b2o$2bo$5b2o$4bo2bo2b2o$4bobo4bo2bo$5bo5bobobo
$8b2obo2bo$8bo2bo$5bo4bo$5b5o2$7bo$6bobo$7bo!
smaller

Code: Select all

x = 8, y = 16, rule = B3/S23
7bo$5b3o$4bo$4b2o4$o$2o$b2o$2bo2$4b2o$4bo$5b3o$7bo!
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MathAndCode
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Re: The Hunting of the Elementary Conduits

Post by MathAndCode »

C28 wrote: December 10th, 2021, 3:15 pmsmaller

Code: Select all

x = 8, y = 16, rule = B3/S23
7bo$5b3o$4bo$4b2o4$o$2o$b2o$2bo2$4b2o$4bo$5b3o$7bo!
Adding a tub yields a different B-sequence.

Code: Select all

x = 12, y = 16, rule = B3/S23
bo9bo$obo6b3o$bo6bo$8b2o4$4bo$4b2o$5b2o$6bo2$8b2o$8bo$9b3o$11bo!
The spark is compatible with a transparent loaf reaction that I found a while back.

Code: Select all

x = 32, y = 16, rule = B3/S23
21bo9bo$20bobo6b3o$21bo6bo$28b2o2$b2o$o2bo$bobo20bo$2bo21b2o$25b2o$26bo2$28b2o$28bo$29b3o$31bo!
Also, there are more Spartan catalysts that can replace the fishhook but result in less clearance.

Code: Select all

x = 48, y = 16, rule = B3/S23
bo$obo$bo40b2o$42b2o4$o39bo$2o38b2o$b2o38b2o$2bo39bo2$4b2o38b2o$4bo39bo$5b3o37b3o$7bo39bo!
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Re: The Hunting of the Elementary Conduits

Post by C28 »

UB145S

Code: Select all

x = 29, y = 32, rule = B3/S23
28bo$26b3o$25bo$25b2o5$21b3o$21b3o$20bobo$20b2o10$2b2o$3bo$3o$o13b2o$
14bo3b2o$11b2obo2bobo$11bobob3obobob2o$14bo3b2ob2obo$15b2o3bo$17b2obo
$17bobo!
edit: UB26P

Code: Select all

x = 19, y = 16, rule = B3/S23
2b2o$3bo$3bobo$4b2o4b3o$10b3o$9bobo$9b2o$3b2o12b2o$3bo13b2o$2obo$ob2o
b2o$5bo$5bobo6b2o$6b2o6bo$15b3o$17bo!
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Re: The Hunting of the Elementary Conduits

Post by EvinZL »

This BRx181H (slight variant of a known conduit) appears to be unknown

Code: Select all

x = 52, y = 47, rule = LifeHistory
25.2A$24.A.A$20.2B2.BA$18.7B$16.10B$B8.2B3.12B$2B5.5BD12B$3B4.6BD10B$
4B.8B2D7B$.11B2D10B$2.10BD12B7.A$3.21B6.3A$4.4B.5B2A7B6.A$5.4B.4B2A7B
6.2A$6.16B4.5B$7.13B6.3B$8.11B5.7B$9.11B3.9B$10.10B4.7B$10.11B3.7B$7.
B.13B.9B$6.2AB.12B2.7B$6.2A13B2.9B.B3.B$7.35B.B$7.38B$9.37B$9.37B$9.
37B$9.35B.B2A$7.2AB.33B.BA.A$6.A.AB.4B3.25B5.A$6.A5.3B.5B.3B2.13B.4B
3.A.2A$5.2A9.2A9.13B3.2A.A.A.2A$17.A10.10B5.2AB2A$14.3A11.6B2.B7.B$
14.A13.6B9.2A.2A$27.7B10.A.A$27.6B11.A.A$28.6B11.A$28.5B$27.6B$27.6B$
28.5B$28.3D2B$29.BDB$29.3D$30.B!
Edit: shockingly, this BRx161B is also

Code: Select all

x = 50, y = 38, rule = LifeHistory
25.2A$24.A.A$20.2B2.BA$18.7B$16.10B$B8.2B3.12B$2B5.5BD12B$3B4.6BD10B$
4B.8B2D7B$.11B2D10B$2.10BD12B7.A$3.21B6.3A$4.4B.5B2A7B6.A$5.4B.4B2A7B
6.2A$6.16B4.5B$7.13B6.3B$8.11B5.7B$9.11B3.9B$10.10B4.7B$10.11B3.7B$7.
B.13B.9B$6.2AB.12B2.7B17.2A$6.2A13B2.9B.B3.B10.A$7.35B3.BA.A$7.37B.B
2A$9.37B$9.37B$9.37B$9.36B$7.2AB.35B$6.A.AB.4B3.27B$6.A5.3B.5B.3B2.8B
.B4.3B$5.2A9.2A9.6B$17.A10.5B$14.3A11.5B$14.A13.D2B2D$29.3D$30.D!
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Re: The Hunting of the Elementary Conduits

Post by dvgrn »

EvinZL wrote: December 26th, 2021, 4:19 pm This BRx181H (slight variant of a known conduit) appears to be unknown
...
Edit: shockingly, this BRx161B is also...
In case anyone is confused by the leftover junk in the original BRx161B, here's a previous discussion of Guam's BRx161B conduit. Maybe the problem was just that Freywa didn't believe it was really a conduit, when the last ECC update happened. This new version doesn't look like it can be chained indefinitely like the old version can -- the first block catalyst would overlap with the wider reaction envelope near the output.

EDIT: To be maybe a little clearer, this means that the new BRx161B (yellow) makes a good "end cap" for a series of old-style BRx161Bs (green), and the B output can then be connected to other conduits to make its escape:

Code: Select all

x = 216, y = 170, rule = LifeHistory
32.2B$31.5B$31.7B$16.2C12.9B$17.C6.15B$17.C.CB.16B5.2C$18.2CB.16B5.C$
20.18B2.BC.C15.2A$20.19B.B2C15.A.A$20.21B13.2B2.BA$20.21B11.7B$18.23B
9.10B$7.C9.22B.B2.2B3.12B$7.3C6.30BD12B$10.C4.32BD10B$9.2C3.33B2D7B$
3.B5.37B2D10B$.5B5.35BD12B$.6B2.49B$2C46B2A7B$2CB.33B2.4B.4B2A7B$.B2.
33B3.16B$4.28B.2B6.13B7.2A$3.28B.4B6.11B7.B2A2B$3.27B2.B2CB7.11B7.4B$
3.27B3.2C9.10B5.6B$6.23B15.11B4.6B$8.20B13.B.13B2.6B$12.15B13.2AB.12B
2.6B14.2A$11.13B16.2A13B3.8B.B3.B6.A$10.15B16.33B.BA.A$9.16B16.33B.B
2A$8.17B18.33B$9.16B18.33B$10.13B20.33B$10.5B2C2B.4B19.32B13.A$12.3B
2C2B2.4B16.2AB.26B6.2A7.3A$12.8B2.4B14.A.AB.4B3.20B4.B2A2B4.A$11.3BDC
D2B4.4B13.A5.3B.5B.17B4.4B4.2A$11.3BACA2B5.4B11.2A9.2A8.14B2.B.9B82.
2A$11.2BD2CAB7.4B22.A7.26B83.A2.A$11.7B8.4B18.3A8.28B82.2A$12.B4AB30.
A11.2BD2B2D21B$12.B5A11.2C31.B3D22B$13.BAB2A11.C31.3BD3B2A18B2.2A$13.
5B12.3C28.7B2A16B4.A$12.6B14.C27.26B.BA.A$12.6B42.26B.B2A$59.29B86.B$
59.13B.15B85.3D$58.13B4.13B85.BDB$58.13B5.2B.8B85.3D2B$59.5B.5B9.9B
16.2A66.5B$59.5B.3B11.9B15.A.A65.6B$57.A5B3.B9.12B11.2B2.BA66.6B$56.A
.A.2B12.14B.2B6.7B68.5B$56.2A14.B.18B3.10B67.6B$71.2A19B.12B66.6B$71.
2A18BD12B67.7B$72.20BD10B52.2A15.6B$72.4B2.14B2D7B55.A8.B4.8B$78.13B
2D10B53.A.AB3.4B.6B2AB$79.12BD12B53.2AB.13B2A2B$78.25B56.18B$79.14B2A
7B57.17B$79.14B2A7B58.13B$79.22B61.12B$78.7B.13B7.2A56.10B$79.6B2.11B
7.B2A2B54.11B$79.6B3.11B7.4B55.2B.7B$81.4B4.10B5.6B55.11B$79.5B5.11B
4.6B54.11B$79.2A5.B.13B2.6B55.11B$80.A4.2AB.12B2.6B14.2A39.11B$77.3A
5.2A13B3.8B.B3.B6.A40.B3D4B2.B2A$77.A8.33B.BA.A40.2BD4B3.BA.A$86.33B.
B2A41.2B3D2B6.A$88.33B43.6B7.2A$88.33B42.7B$88.33B41.8B$88.32B13.A27.
8B$86.2AB.26B6.2A7.3A29.6B$85.A.AB.4B3.20B4.B2A2B4.A28.2A3.6B$85.A5.
3B.5B.17B4.4B4.2A26.A.A2.7B$84.2A9.2A8.14B2.B.9B26.A4.6B15.2A$96.A7.
26B27.2A4.8B4.B8.A$93.3A8.28B32.B2A6B.4B3.BA.A$93.A11.2BD2B2D21B30.2B
2A13B.B2A$107.B3D22B31.18B$106.3BD3B2A18B2.2A28.17B$106.7B2A16B4.A32.
13B$105.26B.BA.A31.12B$105.26B.B2A32.10B$104.29B33.11B$104.13B.15B33.
7B.2B$103.13B4.13B32.11B$103.13B5.2B.8B34.11B$104.5B.5B9.9B16.2A15.
11B$104.5B.3B11.9B15.A.A15.11B9.A$102.A5B3.B9.12B11.2B2.BA14.2AB2.4B
3DB7.3A$101.A.A.2B12.14B.2B6.7B14.A.AB3.4BD2B6.A$101.2A14.B.18B3.10B
13.A6.2B3D2B6.2A$116.2A19B.12B12.2A7.6B3.5B$116.2A18BD12B22.12B12.2A$
117.20BD10B23.13B11.A$117.4B2.14B2D7B26.12B8.BA.A$123.13B2D10B24.12B
4.3B.B2A$124.12BD12B22.22B$123.25B23.22B$124.14B2A7B25.20B$124.14B2A
7B25.21B$124.22B26.23B$123.7B.13B7.2A17.2AB.24B2.2B2.B$124.6B2.11B7.B
2A2B14.A.AB.5B2.13BD11B$124.6B3.11B7.4B14.A6.2B2.7B.4BDBD12B2.B$126.
4B4.10B5.6B13.2A6.B4.B.3B2.4B3D9B2AB.B2A$124.5B5.11B4.6B20.2A3.2A2B4.
4BD11B2A3B2A$124.2A5.B.13B2.6B21.A4.A2.AB4.19B.B$125.A4.2AB.12B2.6B
14.2A3.A.A5.3A12.4B.7B$122.3A5.2A13B3.8B.B3.B6.A4.2A22.4B.7B$122.A8.
33B.BA.A12.3A14.12B$131.33B.B2A12.A2.A15.11B$133.33B14.2A18.9B.3B$
133.33B35.12B$133.33B32.2B.11B2A$133.32B13.E18.2A13B2A$131.2AB.26B6.
2E7.3E18.2AB.10B.B$130.A.AB.4B3.20B4.B2E2B4.E22.B2.10B$130.A5.3B.5B.
17B4.4B4.2E24.9B$129.2A9.2A8.14B2.B.9B23.10B$141.A7.26B24.11B$138.3A
8.28B21.11B$138.A11.2BD2B2D21B19.13B$152.B3D22B18.15B$151.3BD3B2E18B
2.2E13.19B$151.7B2E16B4.E13.19B2A$150.26B.BE.E12.4B.15B2A$150.26B.B2E
12.4B.17B$149.29B13.19B$149.13B.15B12.19B$148.13B4.13B11.20B$148.13B
5.2B.8B11.20B$149.5B.5B9.9B9.24B$149.5B.3B5.B2.B.10B8.4B.20B$147.E5B
3.B5.16B7.4B3.20B$146.E.E.2B10.15B7.4B3.22B$146.2E12.17B6.4B2.24B$
160.19B3.30B$160.21BD21B.10B$158.2EB.20BD13B.7B2.2B4.2A$157.E.EB.20B
2D12B2.3B.B4.B4.A$157.E5.B2.B.13B2D13B4.2B2A3.2A4.3A$156.2E11.12BD13B
4.BA2.A4.A6.A$168.10B2.3B.4B12.3A5.A.A$169.9B5.4B22.2A$169.8B5.4B14.
3A$169.9B3.B2AB15.A2.A$168.9B3.3BA18.2A$169.8B3.3A$169.8B3.A$169.8B$
169.9B$170.8B$170.8B$171.6B$169.5B.B$169.2E$170.E$167.3E$167.E!
The BRx181H does look new -- at least it doesn't appear as one of the variants in this 2016 post by AbhpzTa -- and it makes an even better end-cap, without the awkward limitations in output direction that show up in the above pattern. The first new eater in the BRx181 (the one replacing the block) does appear in AbhpzTa's post, but the other eater that has changed position is a new discovery, I think, allowing for a clean output Herschel.
MathAndCode
Posts: 5269
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Elementary Conduits

Post by MathAndCode »

EvinZL wrote: December 26th, 2021, 4:19 pm This BRx181H (slight variant of a known conduit) appears to be unknown

Code: Select all

x = 52, y = 47, rule = LifeHistory
25.2A$24.A.A$20.2B2.BA$18.7B$16.10B$B8.2B3.12B$2B5.5BD12B$3B4.6BD10B$
4B.8B2D7B$.11B2D10B$2.10BD12B7.A$3.21B6.3A$4.4B.5B2A7B6.A$5.4B.4B2A7B
6.2A$6.16B4.5B$7.13B6.3B$8.11B5.7B$9.11B3.9B$10.10B4.7B$10.11B3.7B$7.
B.13B.9B$6.2AB.12B2.7B$6.2A13B2.9B.B3.B$7.35B.B$7.38B$9.37B$9.37B$9.
37B$9.35B.B2A$7.2AB.33B.BA.A$6.A.AB.4B3.25B5.A$6.A5.3B.5B.3B2.13B.4B
3.A.2A$5.2A9.2A9.13B3.2A.A.A.2A$17.A10.10B5.2AB2A$14.3A11.6B2.B7.B$
14.A13.6B9.2A.2A$27.7B10.A.A$27.6B11.A.A$28.6B11.A$28.5B$27.6B$27.6B$
28.5B$28.3D2B$29.BDB$29.3D$30.B!
The weld at the right is unnecessary.

Code: Select all

x = 50, y = 47, rule = LifeHistory
25.2A$24.A.A$20.2B2.BA$18.7B$16.10B$B8.2B3.12B$2B5.5BC12B$3B4.6BC10B$
4B.8B2C7B$.11B2C10B$2.10BC12B7.A$3.21B6.3A$4.4B.5B2E7B6.A$5.4B.4B2E7B
6.2A$6.16B4.5B$7.13B6.3B$8.11B5.7B$9.11B3.9B$10.10B4.7B$10.11B3.7B$7.
B.13B.9B$6.2AB.12B2.7B$6.2A13B2.9B.B3.B$7.35B.B$7.38B$9.37B$9.37B$9.37B
$9.35B.B2A$7.2AB.33B.BA.A$6.A.AB.4B3.26B4.A$6.A5.3B.5B.3B2.13B2.4B2.2A
$5.2A9.2A9.13B4.2A$17.A10.10B6.A$14.3A11.6B2.B8.3A$14.A13.6B13.A$27.7B
$27.6B$28.6B$28.5B$27.6B$27.6B$28.5B$28.3D2B$29.BDB$29.3D$30.B!
I am tentatively considering myself back.
User avatar
C28
Posts: 843
Joined: December 8th, 2020, 12:23 pm
Location: WORLD -1

Re: The Hunting of the Elementary Conduits

Post by C28 »

MathAndCode wrote: September 23rd, 2021, 12:27 pm Here is a way to turn a U-turner into a century (sequence).

Code: Select all

x = 18, y = 19, rule = LifeHistory
11.2A$11.2A4$12.C$12.C$12.C3.A$2D7.C2.C2.A.A$.3D6.2C4.A$2.D5$11.2A$11.
A.A$13.A$13.2A!
this variation might be more connectable

Code: Select all

x = 20, y = 24, rule = B3/S23
2o$bo$bobo$2b2o$8b2o2$9bo2b2o$10b3o$11bo2$18bo$17bobo$18bo6$15b2o$11b
o3b2o$10bobo$9bobo$9bo$8b2o!
edit: a way to get a glider and a blinker out of the above conduit

Code: Select all

x = 21, y = 21, rule = B3/S23
2o$obo6b2o$bo$10bo2b2o$11b3o$12bo2$19bo$18bobo$19bo6$16b2o$12bo3b2o$11b
obo$10bobo$10bo$9b2o!
edit 2: transparent block

Code: Select all

x = 21, y = 20, rule = B3/S23
9b2o2$10bo2b2o$11b3o$12bo2$19bo$18bobo$2o17bo$2o5$16b2o$12bo3b2o$11bo
bo$10bobo$10bo$9b2o!
edit 3: almost U to R

Code: Select all

x = 34, y = 21, rule = B3/S23
8b2o$8b2o12b2o2$23bo2b2o$24b3o$25bo2$32bo$31bobo$13b2o17bo$13b2o$2b2o
$bobo$bo$2o$29b2o$25bo3b2o$24bobo$23bobo$23bo$22b2o!
Last edited by C28 on March 24th, 2022, 11:37 am, edited 2 times in total.
mostly taking a break from CGoL for now
Jormungant
Posts: 853
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Elementary Conduits

Post by Jormungant »

Entity Valkyrie 2 wrote: November 17th, 2021, 5:13 pm
C28 wrote: November 17th, 2021, 8:37 am
Entity Valkyrie 2 wrote: November 17th, 2021, 7:37 am U to H+U:

Code: Select all

x = 27, y = 38, rule = B3/S23
22bo$21bobo$21bobo$20b2ob3o$26bo$20b2ob3o$20b2obo$8b2o$8b2o4$13bo2$13b
2o$12bo2bo$15bo$15bo$15bo4$2bo$2bo$3o$o19b4o$19bo$19bo$20bo3$13bo$3b2o
7bobo$3b2o3bo4bo7b2o$7bobo11bobo$8bobo8bobob3o$10bo8b2o5bo$10b2o13b2o!
unfortunly the U output can't connect to anything
still, nice conduit!
Is it possible to suppress the extraneous U?
I tried, but only got a bit further

Code: Select all

x = 89, y = 57, rule = LifeHistory
4$31.A$30.A.A39.2A$23.2A5.A.A34.2A3.2A$23.2A4.2A.3A32.2A$35.A$29.2A.
3A$17.A11.2A.A28.A$16.A.A41.A.A$17.2A42.2A17$29.4A40.4A$28.A43.A$28.A
43.A$29.A43.A3$22.A43.A$12.2A7.A.A32.2A7.A.A$12.2A3.A4.A7.2A24.2A3.A
4.A7.2A$16.A.A11.A.A27.A.A11.A.A$17.A.A8.A.A.3A26.A.A8.A.A.3A$19.A8.
2A5.A27.A8.2A5.A$19.2A13.2A27.2A13.2A!
User avatar
C28
Posts: 843
Joined: December 8th, 2020, 12:23 pm
Location: WORLD -1

Re: The Hunting of the Elementary Conduits

Post by C28 »

anyone know a weld that can work?

Code: Select all

x = 34, y = 26, rule = B3/S23
2o$bo28b2o$bobo26bo$2b2o24bobo$28b2o$32b2o$18b3o11bo$2b2o14b3o9bobo$b
obo13bobo10b2o$bo15b2o$2o$4b2o$3bo2bo$4bobo$5bo$b2o$b2o$10b2o$9bobo$9b
o$8b2o4b2o10b2o$14b2o6bo3b2o$21bobo$20bobo$20bo$19b2o!
mostly taking a break from CGoL for now
User avatar
LLAMASKYWALKER
Posts: 166
Joined: December 2nd, 2021, 1:02 pm

Re: The Hunting of the Elementary Conduits

Post by LLAMASKYWALKER »

C28 wrote: April 22nd, 2022, 3:53 pm anyone know a weld that can work?

Code: Select all

x = 34, y = 26, rule = B3/S23
2o$bo28b2o$bobo26bo$2b2o24bobo$28b2o$32b2o$18b3o11bo$2b2o14b3o9bobo$b
obo13bobo10b2o$bo15b2o$2o$4b2o$3bo2bo$4bobo$5bo$b2o$b2o$10b2o$9bobo$9b
o$8b2o4b2o10b2o$14b2o6bo3b2o$21bobo$20bobo$20bo$19b2o!
Mabey, Just need to turn that blinker back into a boat.

Code: Select all

x = 65, y = 46, rule = B3/S23
11$17b2o$18bo28b2o$18bobo26bo$19b2o24bobo$45b2o$49b2o$35b3o11bo$19b2o
14b3o9bobo$18bobo13bobo10b2o$19bo14b2o2$21b2o$16b2o2bo2bo$13bo2bo4bob
o$12bobobo5bo$13bo2bob2o$16bo2bo$17bo4bo4b2o$18b5o3bobo$26bo$20bo4b2o
4b2o10b2o$19bobo9b2o6bo3b2o$20bo17bobo$37bobo$37bo$36b2o!

Code: Select all

x = 5, y = 5, rule = B3/S12o3H
bo$2obo$3bo$b2obo$3bo!

Code: Select all

x = 15, y = 11, rule = 23/34/10
2$6.F.B$5.GICDA$4.H3I2D2A$4.I3.GF2A$7.FAD2A$8.2A!

Code: Select all

x = 8, y = 14, rule = B3-q4z5y/S234k5j
4b2o$4bo2bo$5b3o7$2o2b3o$2obo3bo$3bo3bo$3bo3bo$4b3o!
CGoL is my hobby
dani
Posts: 1221
Joined: October 27th, 2017, 3:43 pm

Re: The Hunting of the Elementary Conduits

Post by dani »

C28 wrote: April 22nd, 2022, 3:53 pm anyone know a weld that can work?

Code: Select all

x = 34, y = 26, rule = B3/S23
2o$bo28b2o$bobo26bo$2b2o24bobo$28b2o$32b2o$18b3o11bo$2b2o14b3o9bobo$b
obo13bobo10b2o$bo15b2o$2o$4b2o$3bo2bo$4bobo$5bo$b2o$b2o$10b2o$9bobo$9b
o$8b2o4b2o10b2o$14b2o6bo3b2o$21bobo$20bobo$20bo$19b2o!
Not a catalyst expert, but here's a p2 solution:

Code: Select all

x = 38, y = 25, rule = B3/S23
5bo28b2o$4bo2bo26bo$4bo2bo24bobo$6bo25b2o$36b2o$6bo15b3o11bo$4bo2bo14b
3o9bobo$4bo2bo13bobo10b2o$5bo15b2o2$8b2o$2ob2o2bo2bo$2obo4bobo$3bo5bo$
2obob2o$2obo2bo$4bo4bo4b2o$5b5o3bobo$13bo$7bo4b2o4b2o10b2o$6bobo9b2o6b
o3b2o$7bo17bobo$24bobo$24bo$23b2o!
/code]
User avatar
Aleph
Posts: 2277
Joined: February 18th, 2021, 11:18 am

Re: The Hunting of the Elementary Conduits

Post by Aleph »

dani wrote: April 22nd, 2022, 6:40 pm Not a catalyst expert, but here's a p2 solution:

Code: Select all

x = 38, y = 25, rule = B3/S23
5bo28b2o$4bo2bo26bo$4bo2bo24bobo$6bo25b2o$36b2o$6bo15b3o11bo$4bo2bo14b
3o9bobo$4bo2bo13bobo10b2o$5bo15b2o2$8b2o$2ob2o2bo2bo$2obo4bobo$3bo5bo$
2obob2o$2obo2bo$4bo4bo4b2o$5b5o3bobo$13bo$7bo4b2o4b2o10b2o$6bobo9b2o6b
o3b2o$7bo17bobo$24bobo$24bo$23b2o!
/code]
[/quote]
P1:
[code]
x = 38, y = 25, rule = B3/S23
4b2o28b2o$4bo2bo26bo$5b3o24bobo$2b3o27b2o$bo3bo30b2o$2b3o17b3o11bo$5b
3o14b3o9bobo$4bo2bo13bobo10b2o$4b2o15b2o2$8b2o$2ob2o2bo2bo$2obo4bobo$
3bo5bo$2obob2o$2obo2bo$4bo4bo4b2o$5b5o3bobo$13bo$7bo4b2o4b2o10b2o$6bo
bo9b2o6bo3b2o$7bo17bobo$24bobo$24bo$23b2o!
User avatar
77551enpassant
Posts: 55
Joined: February 18th, 2022, 9:06 pm
Location: Portland, Oregon

Re: The Hunting of the Elementary Conduits

Post by 77551enpassant »

Here since you messed up the quote:

Code: Select all

x = 38, y = 25, rule = B3/S23
4b2o28b2o$4bo2bo26bo$5b3o24bobo$2b3o27b2o$bo3bo30b2o$2b3o17b3o11bo$5b
3o14b3o9bobo$4bo2bo13bobo10b2o$4b2o15b2o2$8b2o$2ob2o2bo2bo$2obo4bobo$
3bo5bo$2obob2o$2obo2bo$4bo4bo4b2o$5b5o3bobo$13bo$7bo4b2o4b2o10b2o$6bo
bo9b2o6bo3b2o$7bo17bobo$24bobo$24bo$23b2o!
Remember to keep your rhetorical weapons of pure logic holstered safely.
User avatar
C28
Posts: 843
Joined: December 8th, 2020, 12:23 pm
Location: WORLD -1

Re: The Hunting of the Elementary Conduits

Post by C28 »

new U to G

Code: Select all

x = 28, y = 25, rule = B3/S23
2o$bo$bobo8b3o$2b2o8b3o$11bobo$11b2o6$23b2ob2o$5b2o15bobobo$6bo15bobo
bo$3b3o15b2o2bo$3bo14bo4b2o$18b5o$16b2o4bo$17bo2b2o$17bobo$12bo2bobob
o$12b4ob2o$16bo$14bobo$14b2o!
i don't know what exactly its name is, not sure if it is "UR40G".
mostly taking a break from CGoL for now
User avatar
Aleph
Posts: 2277
Joined: February 18th, 2021, 11:18 am

Re: The Hunting of the Elementary Conduits

Post by Aleph »

C28 wrote: April 24th, 2022, 5:41 pm new U to G

Code: Select all

x = 28, y = 25, rule = B3/S23
2o$bo$bobo8b3o$2b2o8b3o$11bobo$11b2o6$23b2ob2o$5b2o15bobobo$6bo15bobo
bo$3b3o15b2o2bo$3bo14bo4b2o$18b5o$16b2o4bo$17bo2b2o$17bobo$12bo2bobob
o$12b4ob2o$16bo$14bobo$14b2o!
i don't know what exactly its name is, not sure if it is "UR40G".
Another:

Code: Select all

x = 21, y = 16, rule = B3/S23
2o$bo$bobo8b3o$2b2o8b3o$11bobo$11b2o7$5b2o12b2o$6bo12b2o$3b3o$3bo!
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