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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Anivec
Posts: 1981
Joined: January 28th, 2022, 7:18 pm
Location: In 4.3 miles, take a right onto Exit 54

Re: The Hunting of the Elementary Conduits

Post by Anivec »

Pi-to-G:

Code: Select all

x = 32, y = 25, rule = LifeHistory
8.2A$9.A5.2B$9.A.AB.5B12.A$10.2AB.6B9.3A$12.9B7.A$12.10B6.2A$13.11B.B
.3B$9.2B.16B$7.22B$7.23B$2A4.2A21B.A$A2.B.B2A7B3C11BA.A$.3A11BCBC9B.2B
AB$3.AB6.4BCBC9B2.2B$.2A8.4B.10B2.2B$.A9.3B4.8B.B2AB$2.A15.7B3.2A$.2A
16.5B$19.4B$18.4B$17.4B$16.4B$15.4B$14.4B$13.4B!
Jormungant
Posts: 853
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Elementary Conduits

Post by Jormungant »

Anivec wrote: August 17th, 2026, 8:58 pm Pi-to-G:

Code: Select all

x = 32, y = 25, rule = LifeHistory
8.2A$9.A5.2B$9.A.AB.5B12.A$10.2AB.6B9.3A$12.9B7.A$12.10B6.2A$13.11B.B
.3B$9.2B.16B$7.22B$7.23B$2A4.2A21B.A$A2.B.B2A7B3C11BA.A$.3A11BCBC9B.2B
AB$3.AB6.4BCBC9B2.2B$.2A8.4B.10B2.2B$.A9.3B4.8B.B2AB$2.A15.7B3.2A$.2A
16.5B$19.4B$18.4B$17.4B$16.4B$15.4B$14.4B$13.4B!
nice! makes a h-to-g0:

Code: Select all

x = 61, y = 43, rule = LifeHistory
2$42.2A$36.A.2A.A.A$36.2A.A.A$40.2AB$17.4B19.2B$18.4B7.2A10.2B$19.4B
5.B2AB9.B2A$20.4B5.3B9.B2A2B$21.4B3.B.B10.5B7.A$22.4B.6B8.6B4.3A$23.
10B8.6B3.A$15.2A7.12B2.8B4.2A$16.A8.12B.9B.4B$16.A.AB6.24B$17.2AB.3B
2.26B$19.21B3D10B$19.23BD10B$20.20B3D9B$19.33B$17.34B$15.35B$15.2BC
15B.15B$14.3BCBC4B.7B3.13B$15.2B3C4B2.6B4.12B$14.5BC4B3.6B4.10B$13.
10B6.4B5.10B$12.4B12.B2A2B7.7B$12.3B14.2A.B2A3.B3.6B$10.4B18.BA.A.2AB
.5B.B2A$10.2A23.A.2A3BA.B2.BA.A$11.A23.A2.B.BA.A6.A$8.3A23.2A5.BA7.2A
$8.A!
Addendum: A loop that should not work in principle, but does nonetheless...

Code: Select all

x = 105, y = 79, rule = LifeHistory
6$47.2A$46.A.A$40.2A4.A$38.A2.A2.2A.4A$38.2A.A.A.A.A2.A$41.A.ABABAB$
41.A.AB2AB$42.AB.2B$45.3B$45.4B6.2A$43.3B2AB6.A$43.3B2AB3.BA.A$41.10B
.B2A$40.13B$39.14B$38.15B$23.2B12.4B2.8B$36.4B5.6B$35.4B4.9B$34.A3B5.
2A4.4B$31.B.A3B7.A5.2B2A$18.A12.B.3A5.3A7.2A2B$18.3A10.B9.A10.BA2B$
21.A8.2B21.4B$20.2A9.B22.4B25.2A$20.5B4.3B23.4B18.A.2A.A.A$22.3B3.3B
25.4B17.2A.A.A$12.2A7.5B.3B27.4B20.2AB$12.A8.4B.3B29.4B19.2B$9.2A.A.B
3.7B.2B31.4B7.2A10.2B$9.A2.3AB.2B2A2B3.2B32.4B5.B2AB9.B2A$10.2A2.BA3B
2A2B3.2B33.4B5.3B9.B2A2B$12.4A7B2.3B10.2A.2A19.4B3.B.B6.2B2.5B7.A$12.
A.2B3.7B.B2A9.A.A21.4B.6B4.10B4.3A$13.3AB2.7B.BA.A3.2A.A5.A.2A17.10B
2.12B3.A$16.A4.4B5.A2.A.A.2A3.2A.A.A8.2A7.22B4.2A$11.5A5.4B5.A.A2.B2.
BA.AB2.B2.A8.A8.22B.4B$11.A10.4B3.2A.7AB.B7A8.A.AB6.24B$13.A9.4B9.3B.
B.3B13.3A.2AB2.26B$12.2A12.2B6.3AB.3B.B3A13.4A17B3D10B$26.3B4.A.BA3BA
3BAB.A12.2A21BD10B$26.4B3.2A3.BABAB3.2A13.6B3A11B3D9B$27.4B7.BABAB17.
6B5A22B$28.4B6.2BA2B.B13.6B2ABA3BA20B$29.4B6.B.B.5B3.2B2.9BA3B3A20B$
30.4B2.22BD10BA20B$31.27BDBD4B.BA6B2.13B$32.15B2A7BAB3D4B2.A5B4.12B$
33.14B2A6BA4BD4B3.6B4.10B$34.3BD17B3A6B6.4B5.10B$35.3BD2A3B2.B2.3B.4B
12.B2A2B7.7B$36.3D2A4B8.3B14.2A.B2A3.B3.6B$36.5BA3B6.4B18.BA.A.2AB.5B
.B2A$36.3B2A4B6.2A23.A.2A3BA.B2.BA.A$36.3B2A2B.B2A5.A23.A2.B.BA.A6.A$
34.9B.BA.A.3A23.2A5.BA7.2A$33.2A7B5.A.A$29.2A.A.BA.7B3.2A$30.A.A.2B6.
2A$29.A2.ABA7.A$30.2A2.A8.3A$32.2A11.A$32.A$33.A$32.2A!

User avatar
Anivec
Posts: 1981
Joined: January 28th, 2022, 7:18 pm
Location: In 4.3 miles, take a right onto Exit 54

Re: The Hunting of the Elementary Conduits

Post by Anivec »

Current standard name:
PB81P
Name under my proposed naming system:
I(xm_e2e, D2_+1)O(xm_e2e, D2_+1)C(+72)R6X5Y-10T81

Code: Select all

x = 32, y = 34, rule = LifeHistory
.2A7.2A$.A.A6.A$3.A3.BA.A$3.2AB.B2A$.2A2.3B9.2A$A2.4AB9.A$2A.A.2BA.3B
2.BA.A$3.A.2A4BAB.B2A$4A.A.3BABA2B$A4.A3BA2BAB$2.A.A2.3B2A.2B$.2A.2A2.
B.6B$10.7B$11.2B2A2B$11.BA2BAB$11.2B2A3B$12.6B2.5B$15.14B$14.15B$6.2A
6.15B$5.A.A4.18B$5.A5.19B$2.2A.2A3.20B$2.2A.A.B.22B$5.A.25B$5.2A.7B3C
14B$7.8BCBC13B$5.2A8BC.C11B$5.A2.B.5B2.8BDBDB$2.2A.A2.A2.4B3.7BDBD$3.
A2.3A3.2B4.5B.B3D$3.A15.3B$4.3A$6.A!
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Tawal
Posts: 850
Joined: October 8th, 2023, 7:20 am
Location: Mælar

Re: The Hunting of the Elementary Conduits

Post by Tawal »

qqd wrote: August 29th, 2026, 3:22 am Is there an eater 1 replacement that works here to complete this W-to-G? (Eater 2 almost works):

Code: Select all

x = 25, y = 11, rule = B3/S23
2o$bo19b2o$bobo17bobo$2b2o19bo$23b2o3$9b3o$9bo2bo$10bobo$11bo!
Yes, it is !

So, W-to-G :

Code: Select all

x = 0, y = 0, rule = LifeHistory
13.2A$13.A.A$15.A3.2A$11.4A4.A12.B$11.A3.3A.A11.2B$13.BA2.2A11.3B$13.
B2A2B11.4B$10.6B12.4B$9.6B12.4B$9.6B11.4B$6.10B9.4B$5.13B6.4B$2.7B2C
9B3.4B$10BC10B.4B$8B2C15B$.7BC16B$2.23B$2.22B$4.20B$5.5B4.10B$6.3B6.
8B$7.B8.5B$17.2B$15.4B$15.2A$16.A$13.3A$13.A!
If I well calculated, its name is WNE14T118

Edit: But I didn't find a possible connection :(
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Jormungant
Posts: 853
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Elementary Conduits

Post by Jormungant »

Tawal wrote: August 29th, 2026, 10:41 am ...
So, W-to-G :

Code: Select all

x = 0, y = 0, rule = LifeHistory
13.2A$13.A.A$15.A3.2A$11.4A4.A12.B$11.A3.3A.A11.2B$13.BA2.2A11.3B$13.
B2A2B11.4B$10.6B12.4B$9.6B12.4B$9.6B11.4B$6.10B9.4B$5.13B6.4B$2.7B2C
9B3.4B$10BC10B.4B$8B2C15B$.7BC16B$2.23B$2.22B$4.20B$5.5B4.10B$6.3B6.
8B$7.B8.5B$17.2B$15.4B$15.2A$16.A$13.3A$13.A!
If I well calculated, its name is WNE14T118

Edit: But I didn't find a possible connection :(


(6 days later)

Indeed, sadly, this w-to-g does not connect to anything which is known yet... So I fixed that! Here comes HRx86W

Code: Select all

x = 64, y = 73, rule = LifeHistory
7$24.A$23.A.A4.2A$23.A.A3.B2AB$22.2A.2A2.3B7.A$25.B3.2B6.3A$22.2AB2AB
.3B4.A10.A$20.A2.A.2A5B4.2A8.A.A$20.2A5.7B.3B8.A.A$28.8B9.2A2.2A$27.
10B6.2B2.A.A.A$27.5B2A2B5.4B3A2.A.A$26.6B2A2B5.3BA3.A.A.A$26.9B.B2.4B
AB3A.A.A$26.8B.3B.5BAB.A.A$27.17B2.A2.A$18.B8.17B3.2A13.D$18.2B2.B5.
17B$18.5B5.16B$18.26B$19.24B$18.8BC16B$18.8BCBC15B$18.8B3C15B$18.10BC
16B$18.27B$18.2B.23B$11.2A7.10B.3B.9B$7.2A.A.A6.4B2.6B4.9B$6.A.A.A7.
4B2.8B3.8B$6.A2.2AB5.4B2.4B2.4B2.8B$5.2A2.2B5.4B2.4B4.4B.7B$10.2B3.5B
.4B6.12B$9.B2AB.10B8.10B$10.2A11B10.10B$11.B.9B11.11B$14.7B12.12B$14.
2B2AB.3B10.4B2D5B$15.B2AB2.2A8.4BDBD5B$15.4B2.A8.5B2D7B$15.3B4.3A.2A
2.12B$15.3B6.A.A3.12B$10.BAB.B2AB6.A.A.14B7.2A$10.2A3B2A4.2A.A.A.2A
13B6.A$8.BA2BAB.B5.2A.2A.A.AB2.11B2.BA.A$6.B.2A4B13.A.B4.11B.B2A$5.5A
2B15.2AB4.13B$5.3A.A2B16.A6.12B$6.B18.3A7.10B$25.A10.9B$37.7B$36.8B$
35.8B$34.6B$33.4B$32.4B$31.4B$30.4B$29.4B$28.4B$27.4B$26.4B!
There is also this... cute?

Code: Select all

x = 43, y = 60, rule = LifeHistory
3$11.A$10.A.A4.2A$10.A.A3.B2AB$9.2A.2A2.3B7.A$12.B3.2B6.3A$9.2AB2AB.
3B4.A10.A$7.A2.A.2A5B4.2A8.A.A$7.2A5.7B.3B8.A.A$15.8B9.2A2.2A$14.10B
6.2B2.A.A.A$14.5B2A2B5.4B3A2.A.A$13.6B2A2B5.3BA3.A.A.A$13.9B.B2.4BAB
3A.A.A$13.8B.3B.5BAB.A.A$14.16B3.A2.A$14.17B3.2A$15.17B$15.16B$13.18B
$11.19B$11.2BC16B$10.3BCBC14B$11.2B3C4B.8B$10.5BC14B$9.10B2.9B$8.4B9.
9B$7.4B10.10B$6.4B11.9B$5.4B12.8B$4.4B13.8B$3.4B14.8B$2.4B15.8B$.4B
16.8B$4B17.8B$3B16.10B$2B15.11B$B16.7B2D2B$16.2A4BDBD4B$16.2A4B2D5B$
17.B.10B$12.A6.10B$12.3A4.9B$15.A3.9B$14.2A4.8B$14.13B$16.10B$15.5B2A
3B$14.6BABA$14.7BAB$16.B.4B$19.2B$17.4B$17.2A$18.A$15.3A$15.A!

Timelord Missionary
Posts: 256
Joined: May 8th, 2022, 8:20 pm

Re: The Hunting of the Elementary Conduits

Post by Timelord Missionary »

People were making some stuff around this object around 2022, though it hasn’t been very well-documented:
C28 wrote: July 30th, 2022, 3:02 pm unidentified to W

Code: Select all

x = 13, y = 8, rule = B3/S23
11b2o$11bo$9bobo$3o6b2o$bobo$3bo$ob2o$2o!
to glider

Code: Select all

x = 15, y = 13, rule = B3/S23
3o$bobo$3bo9b2o$ob2o9b2o$2o5$6b2o$6bo$7b3o$9bo![\code]
[/quote]
[quote="Entity Valkyrie 2" post_id=149212 time=1659768224 user_id=2109]
[quote=C28 post_id=149184 time=1659719456 user_id=2570]
Unidentified to G
[code]x = 16, y = 30, rule = B3/S23
3bo$3b3o$6bo$5b2o4$2o$bo$bobo$2b2o3$5b3o$6bobo$8bo$5bob2o$5b2o9$13bo$
12bobo$12bo2bo$13b2o!
Entity Valkyrie 2 wrote: August 6th, 2022, 2:43 am
C28 wrote: August 5th, 2022, 1:10 pm Unidentified to G

Code: Select all

x = 16, y = 30, rule = B3/S23
3bo$3b3o$6bo$5b2o4$2o$bo$bobo$2b2o3$5b3o$6bobo$8bo$5bob2o$5b2o9$13bo$
12bobo$12bo2bo$13b2o!
Here is an unidentified-to-H that also releases that glider:

Code: Select all

x = 20, y = 60, rule = B3/S23
11b2o$11bo$9b3o16$9b2o$9b2o2$3bo$b3o$o$2o$5bo$4bobo$4b2o9$11b2o$4b2o5b
2o$5bo$5bobo$6b2o3$9b3o$10bobo$12bo$9bob2o$9b2o9$17bo$16bobo$16bo2bo$
17b2o!
Apparently, if you leave out that loaf, it does the same thing without making the glider, because they both have the second bottleneck of the e9jp sequence:

Code: Select all

 x = 27, y = 52, rule = B3/S23
2$15b2o$15bo$13b3o16$13b2o$13b2o2$4b2obo$4bob2o3$9bo$8bobo$8b2o9$15b2o
$8b2o5b2o$9bo$9bobo$10b2o3$13b3o$14bobo$16bo$13bob2o$13b2o!

Helloshe, I like pentadecathlons and small-period motifs.
I may not be very skilled in search programs, but I have many ideas.
Soli Deo Gloria!
WhiteHawk
Posts: 1371
Joined: July 10th, 2024, 5:34 pm

Re: The Hunting of the Elementary Conduits

Post by WhiteHawk »

Timelord Missionary wrote: Yesterday, 2:26 pm Apparently, if you leave out that loaf, it does the same thing without making the glider, because they both have the second bottleneck of the e9jp sequence:
EV2 found this without loaf 6 years ago. I don't know why they added the loaf later, but probably for spark suppression
Entity Valkyrie 2 wrote: November 12th, 2020, 9:00 pm Unidentified to H:

Code: Select all

x = 13, y = 48, rule = B3/S23
11b2o$11bo$9b3o16$9b2o$9b2o2$3bo$b3o$o$2o$5bo$4bobo$4b2o9$11b2o$4b2o5b
2o$5bo$5bobo$6b2o3$9b3o$10bobo$12bo$9bob2o$9b2o!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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