The Hunting of the Elementary Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
hotdogPi
Posts: 1772
Joined: August 12th, 2020, 8:22 pm

Re: The Hunting of the Elementary Conduits

Post by hotdogPi » January 5th, 2023, 5:01 pm

squareroot12621 wrote:
January 5th, 2023, 4:56 pm
affamatodidio wrote:
January 5th, 2023, 8:19 am
We need a name for this intermediate; I think it's useful enough to deserve something; maybe "Q"? "Z"? Whatever, we need a name for it so this confusion doesn't happen again.
I'll say N, since U is already used for U-turner.
I would really rather use the letter N (and all single letters) for something much more common, like this, where the canonical phase of the procrastinator looks like a lowercase n (this is how blonk-tie became J):

Code: Select all

x = 4, y = 4, rule = B3/S23
2o$obo$obo$2b2o!
I'm not saying that procrastinator definitely gets the letter N, but I would rather not waste it on an uncommon object.
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,300,486,576

S: SKOP
G: gun

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dvgrn
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Re: The Hunting of the Elementary Conduits

Post by dvgrn » January 5th, 2023, 7:42 pm

squareroot12621 wrote:
January 5th, 2023, 4:56 pm
I'll say N, since U is already used for U-turner.
What's wrong with "e9jp", exactly? As hotdogPi says above, this Formerly Known as Unidentified pattern doesn't seem to be common enough to need a one-letter identifier.

hotdogPi
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Re: The Hunting of the Elementary Conduits

Post by hotdogPi » January 13th, 2023, 1:04 pm

The active region here is ranked #46 in census.rle, and it's in its proper position or maybe slightly lower according to octo3obj+16. While this region doesn't deserve a single letter, it's definitely common enough and recognizable; users dani and bubblegum both saw it as familiar.

As the second half of the walrus → G converter, this region can be converted into a glider. Credit goes entirely to Goldtiger997; the only thing I did was recognize the region as something to keep in mind for future reference.

Code: Select all

x = 19, y = 26, rule = B3/S23
13bo$11b3o$2ob2o5bo$2obo6b2o$3bo$3b2o11$18bo$16b3o$15bo$16bo$15b2o2$5b
2o$6bo$2bo3bo$3b3o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,300,486,576

S: SKOP
G: gun

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C28
Posts: 778
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Location: WORLD -1

Re: The Hunting of the Elementary Conduits

Post by C28 » January 13th, 2023, 3:06 pm

hotdogPi wrote:
January 13th, 2023, 1:04 pm
The active region here is ranked #46 in census.rle, and it's in its proper position or maybe slightly lower according to octo3obj+16. While this region doesn't deserve a single letter, it's definitely common enough and recognizable; users dani and bubblegum both saw it as familiar.

As the second half of the walrus → G converter, this region can be converted into a glider. Credit goes entirely to Goldtiger997; the only thing I did was recognize the region as something to keep in mind for future reference.

Code: Select all

x = 19, y = 26, rule = B3/S23
13bo$11b3o$2ob2o5bo$2obo6b2o$3bo$3b2o11$18bo$16b3o$15bo$16bo$15b2o2$5b
2o$6bo$2bo3bo$3b3o!
to glider

Code: Select all

x = 5, y = 9, rule = B3/S23
3b2o$4bo$o3bo$b3o3$bo$obo$bo!
edit: glider in a different direction

Code: Select all

x = 13, y = 9, rule = B3/S23
8b2ob2o$9bob2o$9bo$7bobo$7b2o$3b2o$4bo$o3bo$b3o!
edit 2: to E-heptomino

Code: Select all

x = 12, y = 13, rule = B3/S23
10b2o$10bo$8bobo$8b2o6$3b2o$4bo$o3bo$b3o!
edit 3: to R (though not too useful)

Code: Select all

x = 6, y = 13, rule = B3/S23
4b2o$4b2o8$3b2o$4bo$o3bo$b3o!
edit 4: to W

Code: Select all

x = 21, y = 19, rule = B3/S23
12bo$10b3o$9bo$9b2o$14b2o$2o11bobo$2o11b2o$17b2o$17bobo$19bo$19b2o2$16b
2o$16b2o2$5b2o$6bo$2bo3bo$3b3o!
edit 5: not a conduit, but it looks promising enough to check at a later time

Code: Select all

x = 6, y = 19, rule = B3/S23
4b2o$4b2o14$3b2o$4bo$o3bo$b3o!
edit 6: to B

Code: Select all

x = 11, y = 18, rule = B3/S23
10bo$8b3o$7bo$7b2o2$3b2o$3b2o8$3b2o$4bo$o3bo$b3o!
edit 7: transparent beehive

Code: Select all

x = 16, y = 4, rule = B3/S23
3b2o8b2o$4bo7bo2bo$o3bo8b2o$b3o!
Last edited by C28 on February 2nd, 2023, 3:07 pm, edited 1 time in total.
kinda hyperfixated on the U-turner

Code: Select all

x = 11, y = 15, rule = B3/S23
9bo$8bobo$8bobo$9bo8$b3o$b3o$obo$2o!
the U-turner gallery
255P132
B3/S234z (Zlife)

affamatodidio
Posts: 234
Joined: September 14th, 2021, 7:45 pm

Re: The Hunting of the Elementary Conduits

Post by affamatodidio » February 1st, 2023, 9:44 am

LOM to Pi, could be useful (from discord)

Code: Select all

x = 22, y = 17, rule = B3/S23
14b2o$14bo2b2o$15b2ob3o$21bo$2o13b2ob3o$bo2b2o9b2obo$bobobo$2obo$o3bo
2b2o$b4o2b2o$12b3o$b4o7bo2b2o$o3bo7b2o2bo$2obo10b3o$bobobo$bo2b2o$2o!

affamatodidio
Posts: 234
Joined: September 14th, 2021, 7:45 pm

Re: The Hunting of the Elementary Conduits

Post by affamatodidio » March 1st, 2023, 10:08 am

H-C with new catalyst:

Code: Select all

x = 26, y = 21, rule = B3/S23
2o$bo$bobo18b2o$2b2o18bo$20bobo$20b2o5$2bo$2bobo16b2o$2b3o16b2o$4bo11b
2o$15bo2bo2b2o$16bobo3b3o$14bobobobo4bo$12b3o2bobob2obo$11bo3b2o2bo2b
2o$12b3o4b2o$14bo!
Almost H-B, just needs catalyst

Code: Select all

x = 26, y = 21, rule = B3/S23
2o$bo$bobo$2b2o2$20b2o$20b2o4$2bo$2bobo16b2o$2b3o16b2o$4bo11b2o$15bo2b
o2b2o$16bobo3b3o$14bobobobo4bo$12b3o2bobob2obo$11bo3b2o2bo2b2o$12b3o4b
2o$14bo!
If there was a fishhook replacement that worked in place of the block (gives an extra dot spark and doesn't recover) this would be a new, very nice H-B.

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C28
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Location: WORLD -1

Re: The Hunting of the Elementary Conduits

Post by C28 » March 1st, 2023, 11:11 am

affamatodidio wrote:
March 1st, 2023, 10:08 am
H-C with new catalyst:

Code: Select all

x = 26, y = 21, rule = B3/S23
2o$bo$bobo18b2o$2b2o18bo$20bobo$20b2o5$2bo$2bobo16b2o$2b3o16b2o$4bo11b
2o$15bo2bo2b2o$16bobo3b3o$14bobobobo4bo$12b3o2bobob2obo$11bo3b2o2bo2b
2o$12b3o4b2o$14bo!
no need for that big catalyst

Code: Select all

x = 24, y = 17, rule = B3/S23
2o$bo$bobo18b2o$2b2o18bo$20bobo$20b2o5$2bo$2bobo$2b3o$4bo11b2o$16bo$17b
3o$19bo!
kinda hyperfixated on the U-turner

Code: Select all

x = 11, y = 15, rule = B3/S23
9bo$8bobo$8bobo$9bo8$b3o$b3o$obo$2o!
the U-turner gallery
255P132
B3/S234z (Zlife)

AlbertArmStain
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Joined: January 28th, 2022, 7:18 pm
Location: Planet Z

Re: The Hunting of the Elementary Conduits

Post by AlbertArmStain » March 1st, 2023, 5:52 pm

Dependent H-to-pi found by combining Catforce finds with a manual brute-force search:

Code: Select all

x = 41, y = 27, rule = LifeHistory
25.2A$25.A$19.A2B4.A$18.ABAB3.2A$18.A2BAB2.B$11.4B4.2A2B.2B$11.5B4.8B
$10.6B4.9B$10.8B2.10B$10.9B.11B4.2A$7.B2.21B4.A$5.26B.BA.A$2CB2.26B.B
2A$3CB2C2B2A23B$.2CB3CB2A23B$3CB2C28B$B2C31B$3.14BDBD12B.B2A.A$3.4B2.
7B.DBD11B2.B2AB3A$9.6B2.3D3.2B.2BA2B4.B4.A$11.3B13.ABAB3.2A.3A$12.B14.
B2AB4.A.A$28.5B2.A.A$31.2A3.A$31.A$32.3A$34.A!
It can pretty obviously be made spartan:

Code: Select all

x = 41, y = 27, rule = LifeHistory
27.2A$26.A.A$19.A2B4.A$18.ABAB3.2A$18.A2BAB2.B$11.4B4.2A2B.2B$11.5B4.
8B$10.6B4.9B$10.8B2.10B$10.9B.11B4.2A$7.B2.21B4.A$5.26B.BA.A$2CB2.26B
.B2A$3CB2C2B2A23B$.2CB3CB2A23B$3CB2C28B$B2C31B$3.14BDBD12B.B2A.A$3.4B
2.7B.DBD11B2.B2AB3A$9.6B2.3D3.2B.2BA2B4.B4.A$11.3B13.ABAB3.2A.3A$12.B
14.B2AB4.A.A$28.5B2.A.A$31.2A3.A$31.A$32.3A$34.A!

yoleo
Posts: 132
Joined: October 26th, 2021, 11:48 pm

Re: The Hunting of the Elementary Conduits

Post by yoleo » March 3rd, 2023, 9:34 pm

Here's a new H-to-R, HF123R:

Code: Select all

x = 44, y = 53, rule = LifeHistory
2.D3.D.5D3.D4.3D3.3D2.4D$2.D3.D.D6.2D3.D3.D.D3.D.D3.D$2.D3.D.D7.D7.D
5.D.D3.D$2.5D.3D5.D6.D4.2D2.4D$2.D3.D.D7.D5.D7.D.D2.D$2.D3.D.D7.D4.D
4.D3.D.D3.D$2.D3.D.D6.3D2.5D2.3D2.D3.D3$24.2A$24.A$21.A4.A2.2A$21.5A.
A2.A$7.2A16.B.2A.A.2A$8.A10.4AB3AB2.A2.A$8.A.AB7.A2.A.A3B2A.A$9.2AB.
3B4.7B2.A.2A$11.7B3.7B.A$11.16B.2A$12.15B$11.16B$9.18B$7.19B$7.2BC15B
3.2A$6.3BCBC4B.7B5.A$7.2B3C4B2.7B4.A.2A$6.5BC4B2.8B4.A.A$5.10B4.7B5.B
$4.4B10.8B2.B.3B$4.3B11.8B.7B$2.4B12.17B$2.2A14.18B$3.A13.20B$3A15.
19B$A17.19B$19.17B$20.13B$24.10B$24.7B$23.8B$24.6B$25.5BD10.D$21.2A.
6B2D10.D$21.A.6B2D11.2D$18.2A.A.7B11.2D$18.A2.2A6B12.D$19.2A4.AB$21.
5AB$21.A6.A5.D$24.5A4.D.D$24.A8.2D$26.A$25.2A!
The top catalyst is from HNW2T196, bottom one a separate barrister find. The output clearance is pretty bad, but it does connect to an R-to-B, giving a HxF151B. Not sure if there's other R conduits that connect here. EDIT: one of the R-to-Pi's also connects, but it looks like that's it (ignoring R-to-G's)
Edit: and a H-to-B, HBx118B

Code: Select all

x = 39, y = 59, rule = LifeHistory
D3.D.4D9.D4.D3.3D3.4D$D3.D.D3.D7.2D3.2D2.D3.D2.D3.D$D3.D.D3.D.D3.D2.D
4.D2.D3.D2.D3.D$5D.4D3.D.D3.D4.D3.3D3.4D$D3.D.D3.D3.D4.D4.D2.D3.D2.D
3.D$D3.D.D3.D2.D.D3.D4.D2.D3.D2.D3.D$D3.D.4D2.D3.D.3D2.3D2.3D3.4D7$
17.2A9.A$17.A.A6.3A$18.AB5.A$17.2B6.2A$17.10B$15.10B$14.2D12B$13.2D
14B$14.2D14B$15.D15B$16.14B$17.12B$17.12B$16.13B$15.13B2A$14.13B.2A$
14.13B.B$14.14B$15.13B$16.12B$16.11B$16.12B$15.14B$15.14B$16.12B$16.
12B$16.11B$13.13B$12.14B$12.15B$12.15B$12.15B$10.17B$8.19B$8.2BC16B2.
A$7.3BCBC4B.9B.A.A$8.2B3C4B2.B.6B2.A$7.5BC4B5.5B$6.10B5.B2A2B$5.4B11.
AB.A.B2A$5.3B11.A.2A2.BA.A$3.4B12.A8.A$3.2A13.2A8.2A$4.A$.3A$.A!
It connects to BBx187H. Also connects to BRx46B, which can be followed by conduit 1 (combined result HRx223H). But that's about it: the boat is in a bad spot, and can't be followed up directly by conduit 1. There may be other things that start in the same way--just need to find a replacement for that final boat.

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EvinZL
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Re: The Hunting of the Elementary Conduits

Post by EvinZL » March 8th, 2023, 8:09 pm

Good clearance octomino 2 to g

Code: Select all

x = 22, y = 26, rule = LifeHistory
17.A$16.A.A$5.2B9.A.A$4.5B6.2A.3A$4.5B.B5.B4.A$2.11B.B2AB3A$.14B2A.A$
.14B$.14B$.3B2D8B$.3BD2BD7B$2.2BD2BD7B.BA$3.2B3D8BA.A$2.12B.2BA$.11B
4.B$11B$.9B$.10B$3.3B.5B$9.4B$10.4B$11.4B$12.4B$13.4B$14.4B$15.4B!
Good clearance octomino 2 to r

Code: Select all

x = 21, y = 23, rule = LifeHistory
15.2A$5.2B7.B2AB$4.5B6.2B$4.5B2.B4.2B$2.12B.2BAB$.15BA.A$.15B.A$.13B
4.3A$.3B2D8B6.A$.3BD2BD7B$2.2BD2BD7B$3.2B3D6B$2.10B$.6BD4B$7B2D2B$.5B
2D2B$.9B$3.3B.2B3$11.A$10.A.A$10.2A!

MathAndCode
Posts: 5163
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Elementary Conduits

Post by MathAndCode » April 8th, 2023, 3:55 am

Is there a version of ST42D that fits here?

Code: Select all

x = 22, y = 22, rule = LifeHistory
18.2D$17.D.D$16.D2.D$16.D.D$4.2A11.D$3.A.A$3.A$2A.2A$2A.A11.2D$3.A10.
2D$3.2A8.2D5.2C$19.2C$3.2A15.C$3.A$4.A$.3A$.A$13.A$12.A.A5.2A$13.A7.A
$20.A$20.2A!
I am tentatively considering myself back.

Jormungant
Posts: 699
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Elementary Conduits

Post by Jormungant » April 28th, 2023, 7:42 pm

Came to claim my "most convoluted r-to-b" award:

Code: Select all

x = 62, y = 58, rule = LifeHistory
7$28.2D$27.2D$28.2D$29.D2$37.5B$37.7B$21.4B5.6B.8B5.2A$22.4B4.16B4.A$
23.22B2.BA.A$24.22B.B2A$24.24B$23.25B$23.24B$22.26B$22.27B$22.28B$19.
32B$12.A5.4B.29B$4.A6.A.A3.4B2.30B$4.3A4.BA2B.4B4.25B.4B$7.A4.2B.4B5.
24B3.4B$6.2A2.3B.4B7.22B5.4B$6.12B9.19B7.4B$8.10B4.2B2.20B8.4B$8.2BC
10BD7BD16B9.4B$8.2B2C10BD6BDBD15B.B7.4B$8.B2C11B2D5B3D16B2A7.3B$8.13B
2D8BD4B.11B2A8.2B$9.12BD13B4.10B10.B$10.13B.4B.4B6.10B$10.3B.8B.4B3.
3B6.8B$13.13B4.4B6.6B$12.13B5.B2AB4.5B$11.4B.9B6.2A5.2A$10.2A15B12.A$
9.BA7BA9B8.3A$7.2ABA6BABA8B8.A$3.2B2.A2B3A.3BABA8B$8.2A2.BA2B.BA11B$
10.4A2B3.3B3.2B.2A$10.A.4B.7B4.A$8.A.A.2A3.2A.B.2A5.3A$8.2A2.A5.A3.A
8.A$12.A.A.A.A.A.A.A$13.2A.2A.A.A.2A$19.A.A$19.A.A$20.A!
Very entertaining, but that R input is hard to fit (though on can suppress the block in some other spartan way).

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squareroot12621
Posts: 682
Joined: March 23rd, 2022, 4:53 pm

Re: The Hunting of the Elementary Conduits

Post by squareroot12621 » May 1st, 2023, 7:05 pm

Two conduits starting with lumps of muck, from "RLE copy/paste thread":

Code: Select all

x = 46, y = 61, rule = LifeHistory
8.2A$9.A$8.A$8.2A2$6.A8.2C26.2A$5.A.A6.C.C26.A$5.A2.A5.C.C24.A.A$6.2A
6.2C17.3D5.2A$2.2A29.D2.D$.A.A30.3D$.A$2A12$22.2A$23.A$20.3A$20.A6$8.
2A$9.A$8.A$8.2A2$6.A8.2C$5.A.A6.C.C$5.A2.A5.C.C$6.2A6.2C28.2A$2.2A29.
2D9.2A$.A.A28.2D$.A31.D$2A12$22.2A$23.A$20.3A$20.A!

AlbertArmStain
Posts: 1475
Joined: January 28th, 2022, 7:18 pm
Location: Planet Z

Re: The Hunting of the Elementary Conduits

Post by AlbertArmStain » May 2nd, 2023, 5:21 pm

Two R conduits, both having terrible clearance for outputs:

Code: Select all

x = 69, y = 36, rule = LifeHistory
22.4B5.B$23.4B3.4B$24.4B2.4B$25.9B$26.10B.2B$24.14B2A$24.14B2A$23.16B
$4.2A5.2B6.2B3.14B$2A.A.A4.5B3.4B.12B$.A.A6.7B.19B22.3DB2.B$.A.2A28B2.
2A22.DBD5B$2.A.BA25B4.A22.BD2BD5B$3.2A27B4.3A17.4BDBD6B$A4.9B2C17B5.A
17.4B3D3B2CB$5A8B2C19B21.A9B2C2B$4.A.8BC14B2.4B18.3A.9BC2B$2.2A4.B.B.
5B2.8B5.4B16.A3.6B2.5B$2.A8.6B2.10B4.4B15.A.2A.3B3.6B$3.A7.6B2.5B3.2A
5.4B13.2A.A2.2A5.4B$2.2A8.5B.3BA3B2.A7.4B11.A4.AB2A4.2B$12.4B3.BABA2B
3.3A5.4B11.3A.A6.2BAB$19.BABA3B4.A6.3B13.A.A7.A.A$18.3BA4B12.2B14.A9.
A$17.10B3.B8.B$15.B2A10B.B2A$14.BABA12B2A$15.BA14B$16.11B2.B$17.9B$20.
3B$18.7B$18.2A.B.2A$19.A3.A$16.3A5.3A$16.A9.A!

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squareroot12621
Posts: 682
Joined: March 23rd, 2022, 4:53 pm

Re: The Hunting of the Elementary Conduits

Post by squareroot12621 » May 4th, 2023, 11:58 am

This doesn't have the best input clearance, but with a glider, there's no such thing as clearance.
(This might be known, considering its simplicity.)

Code: Select all

x = 15, y = 10, rule = LifeHistory
2.2A$3.A$3.A.A$4.2A2$A7.2C2.D.D$3A5.2C3.2D$3.A2.3C4.D$2.A4.C$2.2A!

MathAndCode
Posts: 5163
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Elementary Conduits

Post by MathAndCode » May 10th, 2023, 2:20 am

I am cross-posting EvinZL's version of my H→G as requested.

Code: Select all

x = 41, y = 48, rule = B3/S23
16b2o$16bobo$17bo2$35b2o$35bo$33bobo$33b2o2$4b2o$bo2bo$obobo$bo2bob2o
$4bo2bo$5b2o4$33b2o$33bobo$35bo$10b2o23b2o$11bo$8b3o9b2o8b2o$8bo12bo7b
o2bo2b2o$21b3o5bobo4bo2bo$30bo5bobobo$33b2obo2bo$33bo2bo$30bo4bo$30b5o
2$32bo$31bobo$32bo7$22b2o$22b2o2$21bo7bo$20b3o6b3o$20bob2o8bo$31b2o!


Edit:

Code: Select all

[quote=Kazyan post_id=149509 time=1660411062 user_id=1221]
Two new R-to-B conduits[/quote]
I used an assisted block catalysis from the right conduit to get an R→G.
[code]x = 41, y = 36, rule = LifeHistory
4D3.3D2.5D2.3D2.5D3.D4.3D$D3.D.D3.D.D5.D3.D3.D4.2D3.D3.D$D3.D.D5.D5.D
3.D3.D5.D7.D$4D3.3D2.3D4.3D4.D5.D6.D$D2.D6.D.D5.D3.D3.D5.D5.D$D3.D.D
3.D.D5.D3.D3.D5.D4.D$D3.D2.3D2.5D2.3D4.D4.3D2.5D4$20.2A$20.A$14.B2.BA
.A$11.B.B2A.B2A$10.A3B2A2B$9.A.A3B.2B$10.AB.6B$13.7B10.A$13.8B7.3A$
13.10B4.A$13.5B.4B4.2A$13.2BC13B$13.2B2C10B$13.B2C12B$13.15B$14.14B$
15.B2.11B$18.2B3.B2.4B$19.AB6.4B$18.A.A7.4B$18.2A9.4B$30.4B$31.4B$32.
4B$33.3B$34.2B!
[/code]
I am tentatively considering myself back.

Haycat2009
Posts: 907
Joined: April 26th, 2023, 5:47 am
Location: Bahar Junction, Zumaland

Re: The Hunting of the Elementary Conduits

Post by Haycat2009 » May 29th, 2023, 7:40 am

Are there any known G-Z conduits?
~ Haycat Durnak, a hard-working editor
Also, support Conway and Friends story mode!
I mean no harm to those who have tested me. But do not take this for granted.

hotdogPi
Posts: 1772
Joined: August 12th, 2020, 8:22 pm

Re: The Hunting of the Elementary Conduits

Post by hotdogPi » May 29th, 2023, 8:14 am

Haycat2009 wrote:
May 29th, 2023, 7:40 am
Are there any known G-Z conduits?
Likely not, because there's a simple Z → LWSS, and the existence of a G → Z would make a G → LWSS that's almost an order of magnitude better than what we currently have.
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,300,486,576

S: SKOP
G: gun

Haycat2009
Posts: 907
Joined: April 26th, 2023, 5:47 am
Location: Bahar Junction, Zumaland

Re: The Hunting of the Elementary Conduits

Post by Haycat2009 » May 31st, 2023, 3:38 am

hotdogPi wrote:
May 29th, 2023, 8:14 am
Haycat2009 wrote:
May 29th, 2023, 7:40 am
Are there any known G-Z conduits?
Likely not, because there's a simple Z → LWSS, and the existence of a G → Z would make a G → LWSS that's almost an order of magnitude better than what we currently have.
I think that the reason nobody bothers to find one is because they all want an elementary G → LWSS, but an G → Z and a Z → LWSS combined will be faster than anything elementary.
~ Haycat Durnak, a hard-working editor
Also, support Conway and Friends story mode!
I mean no harm to those who have tested me. But do not take this for granted.

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squareroot12621
Posts: 682
Joined: March 23rd, 2022, 4:53 pm

Re: The Hunting of the Elementary Conduits

Post by squareroot12621 » May 31st, 2023, 8:44 am

hotdogPi wrote:
May 29th, 2023, 8:14 am
Haycat2009 wrote:
May 29th, 2023, 7:40 am
Are there any known G-Z conduits?
Likely not, because there's a simple Z → LWSS, and the existence of a G → Z would make a G → LWSS that's almost an order of magnitude better than what we currently have.
All we really need is an anything → Z, if the glider can become that anything.

AlbertArmStain
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Location: Planet Z

Re: The Hunting of the Elementary Conduits

Post by AlbertArmStain » June 4th, 2023, 3:35 pm

Here’s a g-to-junk “new lead” conduit by Mvr:

Code: Select all

x = 28, y = 26, rule = B3/S23
bo17b2o$2bo16bobob2o$3o18bobo$20b2obo$20bo2b2o$21b2o2bo$22bobo$22bob2o
$21b2obo2bo$24bob2o$24bo$23b2o3$24b2o$11b2o6b2obo2bo$10bobo5bobob3o$
11bo6bobo$16b3ob5o$15bo3bo4bo$15b2o2bobo$6bo13b2o$5bobo2b2o$5b2o3bobo$
12bo$12b2o!

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squareroot12621
Posts: 682
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Re: The Hunting of the Elementary Conduits

Post by squareroot12621 » June 4th, 2023, 4:04 pm

AlbertArmStain wrote:
June 4th, 2023, 3:35 pm
Here’s a g-to-junk “new lead” conduit by Mvr:

Code: Select all

x = 28, y = 26, rule = B3/S23
bo17b2o$2bo16bobob2o$3o18bobo$20b2obo$20bo2b2o$21b2o2bo$22bobo$22bob2o
$21b2obo2bo$24bob2o$24bo$23b2o3$24b2o$11b2o6b2obo2bo$10bobo5bobob3o$
11bo6bobo$16b3ob5o$15bo3bo4bo$15b2o2bobo$6bo13b2o$5bobo2b2o$5b2o3bobo$
12bo$12b2o!
This makes a G→W, but none of the three connections (yellow) in the Elementary Conduit Collection are valid with it:

Code: Select all

x = 118, y = 37, rule = LifeHistory
89.3D$89.D$90.D7.2E$98.E$96.E.E$96.2E2$11.2A42.2A42.2A$11.2A42.2A42.2A
2$3.C17.2A24.C17.2A24.C17.2A$4.C6.E9.A.A.2A21.C16.A.A.2A21.C16.A.A.2A
$2.3C4.3E11.A.A20.3C18.A.A20.3C18.A.A$8.E13.2A.A40.2A.A40.2A.A$8.2E12.
A2.2A39.A2.2A39.A2.2A$23.2A2.A39.2A2.A39.2A2.A$24.A.A41.A.A41.A.A$3.2D
19.A.2A19.2D19.A.2A19.2D19.A.2A$.D.D19.2A.A2.A15.D.D.2D16.2A.A2.A15.D
.D19.2A.A2.A$.2D6.2E15.A.2A15.2D.2D20.A.2A15.2D23.A.2A$9.2E15.A23.D19.
A43.A$25.2A42.2A42.2A2$2E$2E24.2A42.2A26.2D14.2A$13.2A6.2A.A2.A29.2A6.
2A.A2.A26.D2.2A6.2A.A2.A$12.A.A5.A.A.3A29.A.A5.A.A.3A28.DEDA5.A.A.3A$
13.A6.A.A34.A6.A.A34.E6.A.A$18.3A.5A35.3A.5A35.3A.5A$17.A3.A4.A34.A3.
A4.A21.D2.D9.A3.A4.A$17.2A2.A.A37.2A2.A.A24.4D9.2A2.A.A$8.A13.2A28.A13.
2A21.D6.A13.2A$7.A.A2.2A37.A.A2.2A31.5D.A.A2.2A$8.A3.A.A37.A3.A.A34.D
2.A3.A.A$.3D10.A33.2E8.A32.D10.A$.D12.2A32.2E8.2A31.2D9.2A$3D!

AlbertArmStain
Posts: 1475
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Location: Planet Z

Re: The Hunting of the Elementary Conduits

Post by AlbertArmStain » June 8th, 2023, 4:05 pm

Here's an insane dependent H-to-R conduit that has a boat interact twice:

Code: Select all

x = 38, y = 39, rule = LifeHistory
19.2B$17.7B$17.7B$14.11B$12.13B$12.13B$11.14B$10.16B$7.2B.18B$5.24B$
5.24B$3.27B$.11B2D17B4.2A$11B2D21BA.A$12BD22BA$.33B$2.32B$2.32B$3.30B
$4.30B$5.27B.B2A$3.5B3.19B3.BA.A$3.2A7.A6B.10B6.A$4.A6.ABAB3.13B5.2A$
.3A7.2A4.15B$.A15.16B$17.17B$17.16B$19.13B$18.4B.2B2A5B$17.4B2.2B2A3B
$16.4B2.8B$15.4B4.2BDCD3B$14.4B5.2BACA3B$13.4B8.A2CD2B$12.4B9.6B$11.
4B9.B4A$10.4B10.5A$9.4B11.2A.AB!

affamatodidio
Posts: 234
Joined: September 14th, 2021, 7:45 pm

Re: The Hunting of the Elementary Conduits

Post by affamatodidio » June 13th, 2023, 12:37 pm

H-B

Code: Select all

x = 25, y = 17, rule = B3/S23
20bo$2o16b3o$bo15bo$bobo13b2o$2b2o$24bo$22b3o$21bo$22bo$21b2o$20bo$2b
o17b3o$2bobo18bo$2b3o15b2obo$4bo16bob2o$21bo$20b2o!

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dvgrn
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Re: The Hunting of the Elementary Conduits

Post by dvgrn » June 13th, 2023, 12:52 pm

affamatodidio wrote:
June 13th, 2023, 12:37 pm
H-B

Code: Select all

x = 25, y = 17, rule = B3/S23
20bo$2o16b3o$bo15bo$bobo13b2o$2b2o$24bo$22b3o$21bo$22bo$21b2o$20bo$2b
o17b3o$2bobo18bo$2b3o15b2obo$4bo16bob2o$21bo$20b2o!
Here are the three known variants of that HR44B, from MathAndCode's draft of the Elementary Conduits Collection -- see the link in the first post of this thread:

Code: Select all

x = 133, y = 40, rule = LifeHistory
D3.D.4D5.D5.D2.4D22.D3.D.4D5.D5.D2.4D2.D17.D3.D.4D5.D5.D2.4D$D3.D.D3.
D3.2D4.2D2.D3.D21.D3.D.D3.D3.2D4.2D2.D3.D.D17.D3.D.D3.D3.2D4.2D2.D3.D
$D3.D.D3.D2.D.D3.D.D2.D3.D2.4D15.D3.D.D3.D2.D.D3.D.D2.D3.D.4D14.D3.D.
D3.D2.D.D3.D.D2.D3.D2.4D$5D.4D2.D2.D2.D2.D2.4D2.D3.D15.5D.4D2.D2.D2.D
2.D2.4D2.D3.D13.5D.4D2.D2.D2.D2.D2.4D2.D$D3.D.D2.D2.5D.5D.D3.D.D3.D
15.D3.D.D2.D2.5D.5D.D3.D.D3.D13.D3.D.D2.D2.5D.5D.D3.D.D$D3.D.D3.D4.D
5.D2.D3.D.D3.D15.D3.D.D3.D4.D5.D2.D3.D.D3.D13.D3.D.D3.D4.D5.D2.D3.D.D
$D3.D.D3.D4.D5.D2.4D3.4D15.D3.D.D3.D4.D5.D2.4D2.4D14.D3.D.D3.D4.D5.D
2.4D3.4D10$10.2A18.A26.2A61.A$11.A11.2A3.3A27.A18.A42.3A$11.A.AB7.A.A
2.A30.A.AB13.3A28.2A15.A3.2A$12.2AB.3B3.BA3.2A30.2AB.3B8.A32.A14.2A4.
A$14.7B2.6B32.7B6.2A31.A.AB11.5B.A.2A$14.9B.3B34.9B.5B7.2A23.2AB.3B9.
B2A.A2.A$15.13B34.12B9.A26.7B6.BA.A.2A$14.14B.2B30.15B4.BA.A26.9B.4B
2A$12.18B2A27.20B.B2A28.15B$10.18B.B2A25.20B2A2B29.15B$10.2BC15B2.B
26.2BC14B.2BA.AB27.17B$9.3BCBC4B.7B29.3BCBC4B.7B4.2A26.18B$10.2B3C4B
2.B2DBDB30.2B3C4B2.B2DBDB32.2BC15B$9.5BC4B4.3D30.5BC4B4.3D32.3BCBC4B.
7B$8.10B6.D30.10B6.D34.2B3C4B2.B2DBDB$7.4B43.4B47.5BC4B4.3D$7.3B44.3B
47.10B6.D$5.4B43.4B47.4B$5.2A45.2A49.3B$6.A46.A47.4B$3.3A44.3A48.2A$
3.A46.A51.A$99.3A$99.A!

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