The Hunting of the Periodic Herschel Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » December 30th, 2020, 5:37 pm

Here are the periods for which I have found sparkers that can support BR176P.
p3:

Code: Select all

x = 43, y = 39, rule = LifeHistory
40.3D$42.D$40.3D7$24.2A$8.C.2C13.A$8.3C11.3A$9.C12.A7$14.2A$14.2A$2A$
2A4$3.2A8.2A$4.A8.A.A$.3A11.A$.A13.2A2$10.A$7.2A.2A$7.5A$10.2A$10.A2$
10.A.A$11.A!
p4:

Code: Select all

x = 43, y = 42, rule = LifeHistory
40.3D$42.D$40.3D7$24.2A$8.C.2C13.A$8.3C11.3A$9.C12.A7$14.2A$14.2A$2A$
2A4$3.2A8.2A$4.A8.A.A$.3A11.A$.A13.2A2$8.3A2$7.A3.A$7.A3.A2$7.A3.A$6.
A.3A.A$6.A5.A$5.2A.A.A.2A$4.A2.2A.2A2.A$4.2A7.2A!
p5:

Code: Select all

x = 43, y = 43, rule = LifeHistory
40.3D$42.D$40.3D7$24.2A$8.C.2C13.A$8.3C11.3A$9.C12.A7$14.2A$14.2A$2A$
2A4$3.2A8.2A$4.A8.A.A$.3A11.A$.A13.2A$8.A$8.A2$6.A.A.A$4.9A$3.A9.A$2.
A.2A5.2A.A$.A2.A.2A.2A.A2.A$.2A4.A.A4.2A2$4.A2.A.A2.A$4.A2.A.A2.A$5.2A3.2A!
p7:

Code: Select all

x = 43, y = 44, rule = LifeHistory
40.3D$42.D$40.3D7$24.2A$8.C.2C13.A$8.3C11.3A$9.C12.A7$14.2A$14.2A$2A$
2A4$3.2A8.2A$4.A8.A.A$.3A11.A$.A13.2A2$11.A$8.3A.A$3.2A2.A$3.2A2.A3.2A
$8.A4.A$9.4A2$9.4A$8.A4.A$3.2A2.A3.2A$3.2A2.A$8.3A.A$11.A!
p22:

Code: Select all

x = 54, y = 42, rule = LifeHistory
51.3D$53.D$51.3D7$35.2A$19.C.2C13.A$19.3C11.3A$20.C12.A7$25.2A$25.2A$
11.2A$11.2A4$14.2A8.2A$15.A8.A.A$12.3A11.A$12.A13.2A3$2A7.A6.A4.A$.A7.
A5.2A$.A.A5.A4.3A$2.2A3.2A4.2A.A.2A$11.A2.A2.2A.A$6.A.2A2.A2.A$7.2A.A
.2A4.2A3.2A$10.3A4.A5.A.A$10.2A5.A7.A$5.A4.A6.A7.2A!
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.

User avatar
EvinZL
Posts: 399
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

Re: The Hunting of the Periodic Herschel Conduits

Post by EvinZL » December 30th, 2020, 8:55 pm

Two known gliders in one

Code: Select all

x = 31, y = 45, rule = LifeHistory
9.2A$5.2A.A.A$6.A.A$6.A.AB$5.2A.B.A.2A.2A$4.A3.4A.A.A$5.3A3.A.B.A$8.
4AB2A$5.2A.A2.B$4.A.A2BA2B5A$4.A3.A2B.A4.A$5.3A.4B.3A$7.AB4ABA$8.6A$
8.B4AB$10.2B2.5B$11.10B$11.10B$10.12B$9.14B$9.11B2CB$9.10B2C2B$7.2AB.
9BC2B$6.A.AB3.10B$6.A6.10B$5.2A6.10B$12.4B2.6B$11.4B3.3BA3B2.B$10.4B
4.2BABA7B$9.4B5.2BABA7B$8.4B6.3BA9B$7.4B5.2AB.11B$6.4B5.A.AB2.9B$5.4B
6.A7.7B$4.4B6.2A7.6B$3.4B17.4B$2.4B17.4B$.4B17.4B$4B17.4B$3B17.4B$2B
17.4B$B17.4B$17.4B$16.4B$15.4B!

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: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 5th, 2021, 3:27 pm

A blocker can turn an E-sequence into two Herschels and some junk that cleanly reflects one of the Herschel's first natural glider.

Code: Select all

x = 10, y = 19, rule = B3/S23
2bobo$bo$bo2bo$b2o11$bobo$4bo$o4bo2b2o$2obo2bob2o$4b2o!
A figure eight also works.

Code: Select all

x = 10, y = 24, rule = B3/S23
2bobo$bo$bo2bo$b2o11$2b2o2$o3bo$o4bo$2bobobo$3bobobo$4bo4bo$5bo3bo2$6b2o!
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.

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 7th, 2021, 10:00 pm

Here's a p8 H→P:

Code: Select all

x = 33, y = 73, rule = LifeHistory
18.A4.A$17.A.A2.A.A$16.A3.2A3.A$20.2A$20.2A$20.2A2$14.2A3.A2.A3.2A$14.
A12.A$12.A.A5.2A5.A.A$12.2A.2A2.A2.A2.2A.2A$15.A.8A.A$12.2A.A3.A2.A3.
A.2A$11.A.A2.A2.4A2.A2.A.A$11.A.A.A.3A2.3A.A.A.A$12.A2.3A6.3A2.A$13.2A
2.A6.A2.2A$15.2A3.2A3.2A$15.A2.A4.A2.A$12.2A.A10.A.2A$12.2A.A.A6.A.A.
2A$15.A.A.4A.A.A$12.2A.A.2A4.2A.A.2A$12.2A.A10.A.2A$15.A10.A$15.2A8.2A
$13.2A12.2A$12.A2.A.A6.A.A2.A$11.A.A.A.2A4.2A.A.A.A$11.A.A.A.2A4.2A.A
.A.A$12.2A.A2.A4.A2.A.2A$15.A2.A4.A2.A$12.2A.A.A6.A.A.2A$12.A.A.2A.4A
.2A.A.A$14.A5.2A5.A$14.2A10.2A$20.2A$20.2A$18.A4.A$18.6A3$17.A6.A$18.
6A$8.A$7.A.A$7.A.A$5.3A.2A$4.A$.A2.4A.2A$.3A3.A.2A$4.A16.3D$3.2A18.D$
21.3D10$C$C.C24.2A$3C20.2A.A2.A.2A$2.C20.2A2.A4.A$28.A$15.2A12.A.A$9.
2A4.A.A$10.A6.A$7.3A7.2A$7.A!


Edit: Here's a p8 D→R:

Code: Select all

x = 50, y = 31, rule = LifeHistory
39.4A$35.2A.A4.A$25.A8.A3.A4.A$23.3A8.A4.2A$22.A11.A2.A4.2A$22.2A10.A
2.A3.A2.A$2A33.2A4.A2.A$.A36.2A4.A$.A.A31.A4.A3.A$2.2A31.A4.A.2A$20.2C
14.4A$19.C2.C$18.C2.C23.A$18.3C24.A$43.A.A$39.A2.2A.A$37.3A2.2A$39.A$
31.D11.2A2.A$31.3D9.A2.A.A$32.D11.2A2.A$48.2A6$16.2A$17.A$14.3A$14.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.

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 16th, 2021, 8:55 pm

wwei23 wrote:
November 12th, 2020, 3:47 pm
Kazyan posted this a while ago:
Here's a p6 O→H:

Code: Select all

x = 34, y = 40, rule = LifeHistory
14.3D$15.D$13.3D14.2A$30.A$28.A.A$28.2A2$2.2A$A2.A20.2A$23.A2.A$23.A.
A$2A.A20.A$2.A.A2.2A$3.A4.A$4.A21.2A$4.A2.A17.4A$24.A.A2.A$24.2A2.A.A
$29.A.A$31.2A$30.3A$29.A.A$8.C20.2A$8.2C$6.3C$6.2C7$5.E$5.3E$8.E$7.2E
$15.2A$15.A$16.3A$18.A!
Other periods are likely possible.
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.

User avatar
Entity Valkyrie 2
Posts: 933
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

Re: The Hunting of the Periodic Herschel Conduits

Post by Entity Valkyrie 2 » January 17th, 2021, 2:24 am

Neither P7 nor P8 allow the extra glider to escape:

Code: Select all

x = 253, y = 40, rule = B3/S23
14b2o108b2o108b2o$14bo109bo109bo$12b3o14b2o91b3o14b2o91b3o14b2o$29bo
109bo109bo$27bobo107bobo107bobo$27b2o108b2o108b2o2$b2o100bob2o$b2o20b
2o55b2o3b2ob2ob2o5b2ob3obobo25b2o108b2o$22bo2bo55bo3bob2o3bo3bo2b2o4bo
2bob2o20bo2bo106bo2bo$bo20bobo54bo2b2obo4b2o4b2o4b2obob2obobo19bobo
107bobo$obo20bo55b2obobob4obobo4b4obobo4bobo3bo16bo80b2o6b2o19bo$o2bo
2b2o72bobobo2bo3bob5o5bob4obob2o3bo96bobob2obo2bob2o$4bob2o72bo3b2o3b
2o7b2o2b2o2b2o3bo5bo98bob2o2bo4bo$2b2o77b3o2b2o4bob6obobo8b5o20bob2o
74b2o6bo$27b2o55bo4b2obo4bo2bo31b2o3b3obo74bo7bobo20b2o$23b2o2b2o52b7o
2bobo2bobobobobo3b2o24bo3b3o2bo73bobo24b2o2b2o2b2o$23b2o2bob2o50bo6b2o
2b4ob2obob2o4bo32b2o74b2o24b2o2bo2bobo$28b3o53b4o2b2o4bo3bo7bobo26bobo
109b3o$84bo2bo2bo2b2o2bob2o8b2o23bobo3b2obo105b2o$92b2ob2o36bob2obobob
2o$28b2o103bo3bobo$7b2o19b2o87b2o13b2o3bo89b2o$8b2o108b2o16b2o90b2o$6b
3o107b3o107b3o$6bo109bo109bo7$4bo109bo109bo$4b3o107b3o107b3o$7bo109bo
109bo$6b2o108b2o108b2o$14b2o108b2o108b2o$14bo109bo109bo$15b3o107b3o
107b3o$17bo109bo109bo!
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

User avatar
dvgrn
Moderator
Posts: 7666
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: The Hunting of the Periodic Herschel Conduits

Post by dvgrn » January 17th, 2021, 8:49 am

Entity Valkyrie 2 wrote:
January 17th, 2021, 2:24 am
Neither P7 nor P8 allow the extra glider to escape...
Having to clean up with a reflected FNG kind of ruins the repeat time... but a conduit with a transparent eater is quite an achievement!

I would put this in Current News on the LifeWiki, except that I'm having a hard time figuring out whether there's a known connectable conduit that produces that octomino as an output.

-- I guess this doesn't really fit in the periodic elementary conduits thread, since it's a composite conduit made up of a dirty O-to-H plus a bouncer. It's not really a Herschel conduit either until someone can supply a workable H-to-O ... but until periodic conduits get a lot more posts, I would say it's not worth subdividing threads any further.

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 17th, 2021, 1:47 pm

dvgrn wrote:
January 17th, 2021, 8:49 am
a conduit with a transparent eater is quite an achievement!
Kazyan had already found the reaction months. I view that, not the actual conduit, as the accomplishment because one transparent reaction can be used in multiple conduits.
dvgrn wrote:
January 17th, 2021, 8:49 am
I would put this in Current News on the LifeWiki,
I'd prefer if you didn't mention it in the news for two reasons. One, I had already found a stable O→G and O→H. Two, I'm worried that if we display a transparent fishhook reaction on the LifeWiki, new users will think that that's actually something worth searching for.
dvgrn wrote:
January 17th, 2021, 8:49 am
I'm having a hard time figuring out whether there's a known connectable conduit that produces that octomino as an output.
Kazyan felt it worthwhile to look into conduits that intake a two-glider octomino, so maybe he already knows of ways to produce a clean two-glider octomino as an output. Then again, maybe it just an acknowledgement that the two-glider octomino is common. The best way to find out would be to simply ask Kazyan.
dvgrn wrote:
January 17th, 2021, 8:49 am
I guess this doesn't really fit in the periodic elementary conduits thread, since it's a composite conduit made up of a dirty O-to-H plus a bouncer. It's not really a Herschel conduit either until someone can supply a workable H-to-O ... but until periodic conduits get a lot more posts, I would say it's not worth subdividing threads any further.
What exactly are the rules on what belongs here instead of the other periodic conduits thread? I figured that starting or ending with a Herschel would be sufficient, but apparently, that's not. Does the conduit have to start and end with a Herschel? Do periodic conduits with B inputs or outputs also belong in this thread?
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.

User avatar
dvgrn
Moderator
Posts: 7666
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: The Hunting of the Periodic Herschel Conduits

Post by dvgrn » January 17th, 2021, 2:34 pm

MathAndCode wrote:
January 17th, 2021, 1:47 pm
dvgrn wrote:
January 17th, 2021, 8:49 am
I guess this doesn't really fit in the periodic elementary conduits thread, since it's a composite conduit made up of a dirty O-to-H plus a bouncer. It's not really a Herschel conduit either until someone can supply a workable H-to-O ... but until periodic conduits get a lot more posts, I would say it's not worth subdividing threads any further.
What exactly are the rules on what belongs here instead of the other periodic conduits thread? I figured that starting or ending with a Herschel would be sufficient, but apparently, that's not. Does the conduit have to start and end with a Herschel? Do periodic conduits with B inputs or outputs also belong in this thread?
Sorry, what I meant to say is that this thread does seem to be the best match for a periodic conduit starting or ending with a Herschel.

It's not a perfect match unless an H-to-O is known -- but if the 2G synthesis works, we can put something big'n'ugly together for that easily enough.

I mentioned the periodic elementary conduits thread as a place where this post didn't seem to fit. We're really jointly making up the rules for these various threads as we go along.

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 17th, 2021, 2:58 pm

dvgrn wrote:
January 17th, 2021, 2:34 pm
It's not a perfect match unless an H-to-O is known -- but if the 2G synthesis works, we can put something big'n'ugly together for that easily enough.
Unfortunately, using the two-glider synthesis would require one of the gliders to go through the loaf, and attempting to fix that with a kickback reaction causes the kickback reaction to hit one of the unices. However, the two-glider octomino is common enough that I'm sure that something will turn up eventually as long as enough people are looking for it when making conduits. As I said before, Kazyan might already have one or more ways to make a clean two-glider octomino.
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: 298
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Periodic Herschel Conduits

Post by Jormungant » January 19th, 2021, 8:13 pm

One-sided E-to-H (since a periodic E-to-2H exist, but different clearance, still does not work with the stable H-to-E though)

Code: Select all

x = 45, y = 40, rule = LifeHistory
2$16.3B$15.5B$14.6B$14.7B14.3B$13.10B10.5B$13.2B3C6B2.2B2.8B$11.6B2C
14BD4B$10.6B2C15BDBD2B$10.23B3D2B$5.B3.26BD2B$4.2AB.30B$4.2A16B2.3B.
4B$5.B.14B6.4B$7.15B4.4B$5.2AB.3B4.7B2.4B$4.A.AB3.B4.3B.8B$4.A6.2A4.B
3.6B$3.2A7.A8.7B$9.3A9.7B$9.A9.8B2A$20.3B2AB.2A$20.2BABAB$19.2B.BAB$
18.BAB2.4B$18.5B2.2A$17.3ABAB2.A$16.A.2A2B4.3A$14.2B2A.A8.A$13.BAB3A$
13.5B$15.BAB$15.2B!

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 19th, 2021, 8:20 pm

Jormungant wrote:
January 19th, 2021, 8:13 pm
still does not work with the stable H-to-E though
May I see all of the stable E-making conduits?
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: 298
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Periodic Herschel Conduits

Post by Jormungant » January 19th, 2021, 8:41 pm

as far as I know, there is only 1, and it is the following (soon to be added in the collection I assume, but for now it is hidden in the H-to-G collection, as it only works with 2 E-to-G)

Code: Select all

x = 216, y = 79, rule = LifeHistory
10$94.D3.D.5D9.D3.5D3.D3.5D2.3D24.D3.D.5D2.3D2.5D3.D5.D4.3D$94.2D2.D.
D12.2D5.D4.2D3.D5.D3.D23.2D2.D.D5.D3.D3.D4.2D4.2D3.D$94.D.D.D.D13.D5.
D5.D3.D9.D23.D.D.D.D9.D3.D5.D5.D3.D$94.D2.2D.3D3.5D3.D5.D5.D4.3D4.2D
24.D2.2D.3D6.D4.D5.D5.D3.4D$94.D3.D.D13.D5.D5.D7.D5.D23.D3.D.D7.D5.D
5.D5.D3.D3.D$94.D3.D.D13.D5.D5.D3.D3.D.D3.D23.D3.D.D6.D6.D5.D5.D3.D3.
D$94.D3.D.5D8.3D4.D4.3D3.3D3.3D24.D3.D.5D.5D3.D4.3D3.3D3.3D$207.B$
206.2B$205.3B$204.4B$111.2A68.2A20.4B$29.2A78.2B2AB15.B49.2B2AB18.4B$
27.2B2AB77.4B15.2B49.4B18.4B$27.4B77.4B15.3B48.4B18.4B$26.4B79.4B13.
4B49.4B16.4B$27.4B78.5B11.4B50.5B14.4B$27.5B75.7B10.4B49.7B13.4B$25.
7B65.2A7.8B9.4B40.2A7.8B12.4B$15.2A7.8B66.A7.9B7.4B42.A7.9B10.4B$16.A
7.9B65.A.AB3.12B4.4B43.A.AB3.12B7.4B$16.A.AB3.12B64.2AB2.13B3.4B45.2A
B2.13B6.4B$17.2AB2.13B66.22B48.18B3.4B$19.18B64.21B49.18B2.4B$19.18B
64.20B50.23B$19.19B64.18B52.21B$20.18B60.B.20B48.B.22B$16.B.20B59.2AB
.19B47.2AB.20B$15.2AB.19B59.2A21B47.2A21B$15.2A21B60.B.20B48.B.20B$
16.B.20B62.22B48.22B$18.13BD4B64.22B48.23B$18.13BDBD2B64.22B48.23B$
18.13B3D2B64.22B48.23B2.2A$18.12B2.D67.10B2.11B47.10B2.11BA2.A$18.10B
72.10B3.12B45.10B4.6B.2B3A$18.10B71.10B5.6BA5B43.10B6.5B2.B$17.10B72.
10B5.5BABA3B44.10B6.4B4.2A.A.2A$17.10B64.2A6.10B7.3B2A4B36.2A6.10B6.B
2AB5.A.2A.A$9.2A6.10B65.A7.9B8.B2.4B38.A7.9B7.2A6.A$10.A7.9B65.A.AB4.
9B.2B4.3B43.A.AB4.9B.2B11.2A$10.A.AB4.9B.2B63.2AB.14B2A3.B2AB43.2AB.
14B2A$11.2AB.14B2A64.16B2A4.2A46.16B2A$13.16B2A64.14B.2B53.14B.2B$13.
14B.2B66.13B57.13B$14.13B68.14B.2B53.14B.2B$13.14B.2B63.18B2A50.18B2A
$11.18B2A60.18B.B2A48.18B.B2A$9.18B.B2A60.2BC15B2.B49.2BC15B2.B$9.2BC
15B2.B60.3BCBC4B.8B51.3BCBC4B.8B$8.3BCBC4B.8B64.2B3C4B2.7B52.2B3C4B2.
7B$9.2B3C4B2.7B63.5BC4B2.7B51.5BC4B2.7B$8.5BC4B2.7B62.10B3.7B50.10B3.
7B$7.10B3.7B61.4B11.7B48.4B11.7B$6.4B11.7B60.3B12.7B48.3B12.7B$6.3B
12.7B58.4B13.6B47.4B13.6B$4.4B13.6B59.2A16.5B47.2A16.5B$4.2A16.5B60.A
14.6B49.A14.6B$5.A14.6B58.3A15.6B46.3A15.6B$2.3A15.6B58.A17.4B48.A17.
4B$2.A17.4B78.2B2AB65.2B2AB$20.2B2AB79.2A68.2A$22.2A!
and on a periodic-related issue, p4 works for the R-to-G2 posted earlier

Code: Select all

x = 21, y = 38, rule = LifeHistory
6.2A.A$5.A.A.3A$5.A2.A3.A$6.A.A.2A.A$7.A.A.A.A$9.A.B.2A$8.ABA.A2.A$7.
A.4B2A.A$7.2A.B2A.A2.A$10.2BA2B.2A$13.2B$12.A2B$.2A4.2B2.2B2A$A2.A.5B
.BA6.C$3A2.6B2A4.3C$3.8AB4.C$2.A2.2C4A5.2C$2.2A.B4ADB2.4B$7.2B.6B$8.
10B$8.10B$7.12B$6.14B$6.11B2CB$6.10B2C2B$4.2AB.9BC2B$3.A.AB3.10B$3.A
6.10B$2.2A6.10B$10.3B2.6B$9.3B3.3BA2B$7.B7.2BABAB$6.4B5.2BABAB$5.4B6.
3BA2B$4.4B5.2AB.4B$3.4B5.A.AB2.3B$2.4B6.A7.B$.4B6.2A7.B!

wwei23

Re: The Hunting of the Periodic Herschel Conduits

Post by wwei23 » January 19th, 2021, 9:08 pm

MathAndCode wrote:
December 30th, 2020, 5:37 pm
Here are the periods for which I have found sparkers that can support BR176P.
A domino spark can support this too:

Code: Select all

x = 43, y = 56, rule = LifeHistory
40.3D$42.D$40.3D7$24.2A$8.C.2C13.A$8.3C11.3A$9.C12.A7$14.2A$14.2A$2A$
2A4$3.2A8.2A$4.A8.A.A$.3A11.A$.A13.2A2$4.A3.2A3.A$3.A.2A.2A.2A.A$3.A.
A6.A.A$.3A.A2.2A2.A.3A$A4.A.A2.A.A4.A$.3A.A6.A.3A$3.3A6.3A$6.A4.A$7.
4A$8.2A$3.A10.A$.3A3.4A3.3A$A6.4A6.A$.3A3.4A3.3A$3.A10.A$8.2A$7.4A$6.
A4.A$3.3A6.3A$.3A.A6.A.3A$A4.A.A2.A.A4.A$.3A.A2.2A2.A.3A$3.A.A6.A.A$
3.A.2A.2A.2A.A$4.A3.2A3.A!

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 19th, 2021, 9:12 pm

Jormungant wrote:
January 19th, 2021, 8:41 pm
as far as I know, there is only 1, and it is the following (soon to be added in the collection I assume, but for now it is hidden in the H-to-G collection, as it only works with 2 E-to-G)
Thank you. Are there any other active regions currently unrecognized in the Elementary Conduits Collection for which we have conduits creating them?

In order to do my part, here is a way to create a blonk-tie from a B-sequence or two-glider octomino (or the sequence that occurred 28,314 times here):

Code: Select all

x = 27, y = 17, rule = LifeHistory
2.2A19.2A$3.A19.A$3.A.A15.A.A$4.2A6.2C7.2A$12.2C11.2A$10.3C12.A$11.C5.
3D3.A.A$15.2D2.D3.2A$3.A.2A8.2D2.2D$.3A.2A13.2D$A18.2D$.3A.2A$3.A.A$3.
A.A5.2A$4.A7.A$9.3A$9.A!
wwei23 wrote:
January 19th, 2021, 9:08 pm
A domino spark can support this too:
I'm aware; I tried using a fumarole before a p5 pipsquirter.
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.

User avatar
EvinZL
Posts: 399
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

Re: The Hunting of the Periodic Herschel Conduits

Post by EvinZL » January 20th, 2021, 11:33 am

Lx104

Code: Select all

x = 28, y = 47, rule = LifeHistory
16.B$15.3D$15.BDB$14.2B3D$14.5B$14.6B$14.6B$14.5B$13.6B$14.6B$13.7B$
13.6B$13.6B$13.6B$12.8B$13.8B$12.9B$12.9B$12.10B$2.A9.5B2A3B$2.3A7.5B
2A4B3.2A$5.A6.11B3.A$4.2A3.B2.4BD7BA.A$4.8B2.B3D4B2.2A$6.8BD2B2D2B$6.
13B$5.14B$3.17B$.19B$.2BC15B$3BCBC4B.7B$.2B3C4B2.B3.3B$5BC4B5.B4AB$9B
6.6A$2B12.AB4ABA$B11.3A.4B.3A$11.A4.A.2BA3.A$12.5A2BA2BA.A$17.B2.A.2A
$14.2AB4A$13.A.B.A3.3A$13.A.A.4A3.A$12.2A.2A.A.B.2A$19.BA.A$20.A.A$
18.A.A.2A$18.2A!

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: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 20th, 2021, 12:16 pm

Here's a partial W→C:

Code: Select all

x = 35, y = 26, rule = LifeHistory
18.2A.A$17.A2.4A$17.2A5.A.2A$19.6A.A.A.2A$15.4A2.A4.A.A.A$14.A4.A.A2.
A3.A.A$13.A.A2.A2.A2.2A3.A.2A.A$5.D8.A2.A2.3A2.A3.A.A.2A$4.3D8.3A3.A2.
2A5.A$6.2D6.3A4.A.2A.A2.A.A$13.A6.A2.A4.A.A$12.A.A3.A.2A.A5.A$11.3A2.
2A.A.A.A$4.2C5.3A2.2A.A.A.A$4.C.C5.A.A3.A.2A.A5.A$6.2C5.A6.A2.A4.A.A$
14.3A4.A.2A.A2.A.A$15.3A3.A2.2A5.A$14.A2.A2.3A2.A3.A.A.2A$13.A.A2.A2.
A2.2A3.A.2A.A$14.A4.A.A2.A3.A.A$15.4A2.A4.A.A.A$19.6A.A.A.2A$17.2A5.A
.2A$17.A2.4A$18.2A.A!
Unfortunately, there probably isn't a way to clean up the honey farm predecessor with good clearance.
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.

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 21st, 2021, 12:09 pm

Jormungant wrote:
January 19th, 2021, 8:41 pm
as far as I know, there is only 1, and it is the following (soon to be added in the collection I assume, but for now it is hidden in the H-to-G collection, as it only works with 2 E-to-G)
The version that replaces the block with a permanent catalyst, making the input a pi, is connectable.

Code: Select all

x = 61, y = 54, rule = LifeHistory
44.2A$44.2A6$30.2A$31.A26.2A$31.A.A24.A$32.2A22.A.A$56.2A4$40.3D14.A.
2A$42.D14.2A.A$40.3D2$46.D$46.D.D$46.3D$47.D2$24.2A14.2A$8.C.2C13.A14.
A$8.3C11.3A16.A$9.C12.A17.2A7$14.2A$14.2A$2A$2A45.3D$49.D$48.3D2$3.2A
8.2A$4.A8.A.A$.3A11.A$.A13.2A2$10.A$7.2A.2A$7.5A$10.2A$10.A2$10.A.A$11.A!
The reaction that cleans up the junk was found by wwei23.
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: 298
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Periodic Herschel Conduits

Post by Jormungant » January 22nd, 2021, 1:18 pm

I was not sure that this periodic b-to-p was connectable to anything, but it turns out it is possible to use it somehow:

Code: Select all

x = 77, y = 61, rule = LifeHistory
3$54.2A$54.2A2$23.2A$14.2A6.B2AB$13.B2AB5.3B$13.3B7.B$14.B.2B3.5B14.
2A$8.B.2BC10BA4B13.A26.2A$6.7BC.7BABA4B12.A.A24.A$5.8B2C7BABA4B13.2A
22.A.A$5.7B2C9BA4B38.2A$6.6BC13B$8.16B$11.13B$11.12B27.3D14.A.2A$11.
13B28.D14.2A.A$11.12B27.3D$12.10B$14.8B34.D$17.5B34.D.D$17.6B33.3D$
16.7B34.D$17.5B$17.5B12.2A14.2A$18.DB2D13.A14.A$18.3D11.3A16.A$19.D
12.A17.2A7$24.2A$24.2A$10.2A$10.2A45.3D$59.D$58.3D2$13.2A8.2A$14.A8.A
.A$11.3A11.A$11.A13.2A$20.A$19.BAB$17.BA.2A$17.2A4B$18.B.BA$20.2A$21.
2A$20.3A$21.B!
well, this works, and that was a close call too ^^'. Well I am not sure where you found that stable P-to-E, but I guess it might be included eventually, but I think it only works with that periodic b-to-p (?)

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 22nd, 2021, 1:36 pm

Jormungant wrote:
January 22nd, 2021, 1:18 pm
I was not sure that this periodic b-to-p was connectable to anything, but it turns out it is possible to use it somehow:
Here's another way to connect it:
MathAndCode wrote:
November 15th, 2020, 2:53 pm

Code: Select all

x = 17, y = 37, rule = LifeHistory
.2A$2.A$2.A.A$3.2A2$9.A$7.3A$.A6.A$A.A$.A8$8.D.2D$8.3D$9.D6$7.3D$9.D4.2A$7.4D3.2A$2A$2A4$3.2A8.2A$4.A8.A.A$.3A11.A$.A13.2A!
Jormungant wrote:
January 22nd, 2021, 1:18 pm
Well I am not sure where you found that stable P-to-E,
It's based off of the H→E that you showed me. The intermediate block can be replaced by a fishhook-type or snake-type catalyst, as in HF135Q and PF31Q. The fact that the block can be replaced with a snake-type catalyst is also suggested by the way in which the block is destroyed.
Jormungant wrote:
January 22nd, 2021, 1:18 pm
I think it only works with that periodic b-to-p (?)
That's probably the case. That periodic conduit is my go-to conduit whenever I need to demonstrate that a pi-accepting conduit is connectable. I suspect that it can probably be made p1, as the sparker is only necessary for cleanup, and the fishhook-type catalysis in the bottom-right is simply enough that it could conceivably be modified. If a p1 version is indeed found, it would yield at least three connectable, stable conduits, including that way to produce a pi with phenomenal output clearance.
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: 298
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Periodic Herschel Conduits

Post by Jormungant » January 25th, 2021, 6:48 pm

EvilZL nearmiss as a periodic h-to-G2:

Code: Select all

x = 29, y = 32, rule = LifeHistory
17.2A$16.A2.A$11.A4.A.A.A$11.3A3.A.3A$14.A3.B3A$13.2A3.B$13.6B$15.5B$
.2A11.6B$2.A11.6B$2.A.AB7.8B$3.2AB.3B3.8B$5.18B$5.20B$6.19B$5.20B$3.
20B.B2A$.20B3.BA.A$.2BC17B6.A$3BCBC4B.9B7.2A$.2B3C4B2.7B$5BC4B2.7B$9B
3.7B.B$4B8.11B$3B10.12B$2B11.7B2A4B$B9.2B.7B2A4B$8.17B$8.15B$8.14B$8.
10B.2B$9.8B!
maybe some other catalyst might make this work in a stable fashion...

Code: Select all

x = 42, y = 41, rule = LifeHistory
4$17.A$16.A.A$16.A.A$14.3A.2A3.C$13.A8.C.C$14.3A.2A2.C.C2.2C$16.A.2A
3.C3.2C$18.6B$24.B$6.2A$7.A$7.A.AB$8.2AB.3B$10.8B9.B$10.8B9.3B$11.7B
9.3B$10.8B6.6B$8.10B6.4B.B2A$6.12B6.2B3.BA.A$6.2BC9B6.2B6.A$5.3BCBC4B
.2B6.B7.2A$6.2B3C4B2.B$5.5BC4B2.B$6.8B3.B7.B$6.3B8.B6.4B$6.2B16.6B$6.
B17.B2A4B$15.2B7.B2A4B$13.5B6.6B$13.15B$13.14B$13.10B.2B$14.8B!
Last edited by Jormungant on January 25th, 2021, 7:12 pm, edited 1 time in total.

wwei23

Re: The Hunting of the Periodic Herschel Conduits

Post by wwei23 » January 25th, 2021, 6:50 pm

Jormungant wrote:
January 25th, 2021, 6:48 pm
EvilZL nearmiss as a periodic h-to-G2:
A clock is enough.

Code: Select all

x = 29, y = 30, rule = LifeHistory
11.A6.A$11.3A4.A.A$14.A2.A.A$13.2A3.BA$13.6B$15.5B$.2A11.6B$2.A11.6B$
2.A.AB7.8B$3.2AB.3B3.8B$5.18B$5.20B$6.19B$5.20B$3.20B.B2A$.20B3.BA.A$
.2BC17B6.A$3BCBC4B.9B7.2A$.2B3C4B2.7B$5BC4B2.7B$9B3.7B.B$4B8.11B$3B
10.12B$2B11.7B2A4B$B9.2B.7B2A4B$8.17B$8.15B$8.14B$8.10B.2B$9.8B!

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 25th, 2021, 6:55 pm

wwei23 wrote:
January 25th, 2021, 6:50 pm
A clock is enough.
Are there any p3 sparkers that work?
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.

wwei23

Re: The Hunting of the Periodic Herschel Conduits

Post by wwei23 » January 25th, 2021, 7:30 pm

MathAndCode wrote:
January 25th, 2021, 6:55 pm
Are there any p3 sparkers that work?
This is one of those searches that looks easy but turns out to be diabolical. Give me a few...
...hours? Days? Weeks? Months? I don't even know.

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » January 25th, 2021, 7:43 pm

wwei23 wrote:
January 25th, 2021, 7:30 pm
This is one of those searches that looks easy but turns out to be diabolical.
I figured that it would be fairly easy, as when search-ability is no longer an issue, finding suitable sparkers with lower periods tends to be harder, but, as you said…
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.

Post Reply