Thread For Your Useless Discoveries

[MathAndCode]

Double pi predecessor: ...

That is just Gliders_by_the_dozen

Yes, but it can be trivially modified to have seven cells instead of eight, at the cost of lasting one fewer generation before stabilizing and having a larger bounding box.

Code: Select all

x = 7, y = 24, rule = B3/S23
5bo$2obob2o$bo19$b2o2bo$bo3bo$bo2b2o!

[wwei23]

What?

Code: Select all

x = 24, y = 42, rule = LifeHistory
A$3A$3.A$2.2A2$19.D2.D$23.D$19.D3.D$14.C5.4D$13.C.C$13.C.C$14.C7$11.
3D$12.D$10.3D6$19.D$20.D$18.3D8$10.2A$10.2A2$.2A.A7.A$.A.2A6.3A$10.2A
.A!
[[ STOP 222 ]]

[MathAndCode]

What?

Code: Select all

x = 24, y = 42, rule = LifeHistory
A$3A$3.A$2.2A2$19.D2.D$23.D$19.D3.D$14.C5.4D$13.C.C$13.C.C$14.C7$11.
3D$12.D$10.3D6$19.D$20.D$18.3D8$10.2A$10.2A2$.2A.A7.A$.A.2A6.3A$10.2A
.A!
[[ STOP 222 ]]

In addition, a Herschel sequence without the first natural glider can be seen in generations 314–321.
Also, I see that you're trying to find a faster way to make a LWSS, probably after having seen my post. If you look at it again, you'll see that I have added a combination of two reactions that I already knew about that results in a LWSS emitted in a favorable direction. It doesn't require a transparent catalyst, but for reasons that I also added to that post, finding a stable catalyst will probably be difficult.

[Entity Valkyrie 2]

wwei went "What?" because he saw a longboat-ship-tie.

[wwei23]

wwei went "What?" because he saw a longboat-ship-tie.

Correct. And the mango that then forms nearby. I'm guessing that the best restoration would likely be to just duplicate the output glider that also forms, and to use it to shoot down the boat, blinker, and beehive, and then resynthesize the beehive in the correct place. There's a catalyst that kills the boat that I can't show right now since I'm not at my computer, but it might be better to use the boat as a one-time reflector and boojum/rectifier it back into the blinker (to save one duplication). Hey, at least the LWSS isn't awkwardly placed this time.
EDIT: Fixed typo.

[MathAndCode]

Correct. And the mango that then forms nearby. I'm guessing that the best restoration would likely be to just duplicate the output glider that also forms, and to use it to shoot down the boat, blinker, and beehive, and then resynthesize the beehive in the correct place. There's a catalyst that kills the boat that I can't show right now since I'm not at my computer, but it might be better to use the boat as a one-time reflector and boojum/rectifier it back into the blinker (to save one duplication). Hey, at least the LWSS isn't awkwardly placed this time.
EDIT: Fixed typo.

While I understand that all of our current conduits that make an LWSS make it in an inconvenient direction in terms of repeat time, I do not think that the fact that this method makes it in a more convenient direction will make up for your proposed staged recovery method, as staged recovery is typically slow. Also, your method appears to require at least as many gliders as required to synthesize a lightweight spaceship directly.

[bubblegum]

Code: Select all

x = 49, y = 26, rule = B3/S23
25bo$23b2o$24b2o7$13bo$12bobo$12bobo33bo$4bo8bo32b3o$3bobo23b2o15bo$3b
obo23b2o15bo$2b2ob2o$bo2bo2bo$obobobobo$bobobobo$3bobo$2bo2bo8b2o10b2o
$3b2o9bo11bo$15b3o6bobo$17bo6b2o$4b2o$4b2o!

ooρs! τωο εχτгα βΙιηκεгs.

Looks familiar - I think there's one by Kazyan where your large catalyst is replaced by a transparent blinker

Wait what? Did you stabilize Kazyan's p2 G4 receiver??
This discovery is off-topic here! Congrats!

Edit: I have a vague memory of seeing something similar posted on the forums. Is this pattern known?

Found it: viewtopic.php?f=2&t=1849&start=25#p27208

And that's a post from 2016.

[Entity Valkyrie 2]

οορs! гεdιscονεгγ.

[bubblegum]

oor?! ɢe?i??oneɢg.

Can you stop typing in Greek?

[Scorbie]

oor?! ɢe?i??oneɢg.

Can you stop typing in Greek?

Thank you for the reference!
I think you can change the browser's encoding to UTF-8;
but I see your pain :s Been there with the Internet in the 2000s...

[bubblegum]

oor?! ɢe?i??oneɢg.

Can you stop typing in Greek?

Thank you for the reference!
I think you can change the browser's encoding to UTF-8;
but I see your pain :s Been there with the Internet in the 2000s...

It's not a reference, it's literally the Greek letters transcribed into the Latin alphabet.

small capital g

[Entity Valkyrie 2]

I used Russian г for the letter r.

[bubblegum]

I used Russian г for the letter r.

I interpreted it as a small capital gamma and transcribed it as such, although I suppose it would be (given it's actually Cyrillic ge) … g.

[wwei23]

I realized that a known near-stabilization of the P41 wick can turn beehives with tails into gliders with what I presume is a known reaction. Unfortunately, such gliders go the wrong way.

Code: Select all

x = 21, y = 47, rule = B3/S23
13bo$11b3o$10bo$2bo6bobo6bo$2b3o4bobo4b3o$5bo4bo4bo$4b2o9b2o3$6b2o5b2o
$6b2o5b2o2$6bobo3bobo$6b3o3b3o$7bo5bo3$5b2o7b2o$6b2o5b2o$8bo3bo$7b2o3b
2o$7b2o3b2o2$3o15b3o2$7b2o3b2o$7b2o3b2o$8bo3bo$6b2o5b2o$5b2o7b2o3$7bo
5bo$6b3o3b3o$6bobo3bobo2$6b2o5b2o$6b2o5b2o3$4b2o9b2o$5bo4bo4bo$2b3o4b
obo4b3o$2bo6bobo6bo$10bo$7b3o$7bo!

EDIT: One-time reflector.

Code: Select all

x = 14, y = 13, rule = B3/S23
2bo$bobo$b2o2$b2o$obo$2o4$12b2o$11b2o$13bo!

[MathAndCode]

This looks too complicated and too messy. to reduce any glider syntheses. (I'm talking about the diagonally symmetric region, especially from generation 27 to generation 30.)

Code: Select all

x = 21, y = 18, rule = B3/S23
bo7b2o$obo5b2obo$bo7b3o2$4bo$18b2o$3bob2o10b3o$2b5o11bo$20bo$12bob2o4bo$11b2o3bo$9bo5b2o3bo$9bo5bo3b2o$9bo4bo$9b2o$9bobo$8bo2bo$9b2o!

Edit: This is the latest that I have ever seen something enter the ∏-sequence.

Code: Select all

x = 11, y = 12, rule = B3/S23
4b3o$2b7o$4b3o2$4b3o$3bo3bo$3bo3bo$b2ob3ob2o$obo5bobo$o9bo$2obo3bob2o$2b2o3b2o!

Also, I spotted two copies of generation 22 of a Herschel in generation 0 of that pattern.

[JP21]

I think this is the most useless way someone can rediscover the eater:

Code: Select all

x = 9, y = 9, rule = B3/S23
4bo$4bo$4bo2$3o3b3o$6bo$4bo$4bo$4bo!

[MathAndCode]

I think this is the most useless way someone can rediscover the eater:

Code: Select all

x = 9, y = 9, rule = B3/S23
4bo$4bo$4bo2$3o3b3o$6bo$4bo$4bo$4bo!

If only the added cell were on the outside of the traffic light.
Are there any transparent fishhook reactions used in conduits?

[bubblegum]

I think this is the most useless way someone can rediscover the eater:

Code: Select all

x = 9, y = 9, rule = B3/S23
4bo$4bo$4bo2$3o3b3o$6bo$4bo$4bo$4bo!

If only the added cell were on the outside of the traffic light.
Are there any transparent fishhook reactions used in conduits?

Eater 1s are difficult to regenerate, so probably no for any reasonable conduit.

[MathAndCode]

Eater 1s are difficult to regenerate, so probably no for any reasonable conduit.

I figured that that was probably the case, but JP21's reaction made me reconsider that.

[wwei23]

I figured that that was probably the case, but JP21's reaction made me reconsider that.

Kazyan posted this a while ago:

Code: Select all

x = 14, y = 18, rule = LifeHistory
3.2A$4.2A$2.3A$2.A7$C$3C$3.C$2.2C$10.2A$10.A$11.3A$13.A!

[Entity Valkyrie 2]

Wow! That's a transparent eater!

[MathAndCode]

Wow! That's a transparent eater!

I'm trying to complete it (which I probably shouldn't have bothered to until I understand more catalysts since Kazyan apparently didn't complete it), but I haven't found a catalysis that prevents the fishhook from being destroyed again (which affirms the previous parenthetical statement), so I'm going to stop trying to complete that and look for other conduits accepting the two-glider octomino because I don't think that that has been extensively researched.



Edit: Can anyone clean up this O→C?

Code: Select all

x = 28, y = 31, rule = LifeHistory
8.2A$8.2A7$7.C$7.2C$5.3C10.2A$5.2C11.A$16.A.A$16.2A5$19.D$2A17.2D3.2A$2A16.2D4.2A$18.D3$21.2A.A2.A$22.A.4A$20.A.A$20.2A2.2A$25.A$24.A$24.2A!

A similar O→B seems possible.



Another edit: Here's a messy O→B, although not the one that I was thinking of.

Code: Select all

x = 23, y = 24, rule = LifeHistory
8.2A$8.2A7$7.C$7.2C$5.3C$5.2C9.2A$17.A$17.A.2A.A$16.2A.A.2A2$16.3A$16.A2.A$18.2A$2A$2A$5.2D2.D$6.3D$7.D!

Yet another edit: Here is a potential O→R or O→B. It also has the latest that I have ever seen something enter the dove sequence at generation 103, but unless someone finds another transparent fishhook reaction (which seems unlikely), that won't be useful.

Code: Select all

x = 21, y = 35, rule = LifeHistory
8.2A$8.2A7$7.C$7.2C$5.3C$5.2C3$19.2A$19.A$17.A.A$17.2A2$2A$2A4.D$6.3D$7.D8.2A$16.A$17.3A$19.A7$4.2D2.D$5.3D$6.D!

Fourth edit: Here are the O→Bs that I was talking about in my first edit.

Code: Select all

x = 19, y = 27, rule = LifeHistory
7.2A$7.2A7$6.C$6.2C$4.3C$4.2C7$7.2D7.2D$8.2D7.2D$7.2D7.2D$7.D8.D2$2.2A$3.A$3A$A!

Fifth edit: This is the latest that I have ever seen something enter the R-sequence. Cleanup looks difficult but potentially possible.

Code: Select all

x = 27, y = 35, rule = LifeHistory
12.2A$12.A$10.A.A$10.2A4$5.C$5.2C$3.3C$3.2C4$26.A$24.3A$23.A$23.2A6$13.D$13.3D$14.D6$3.2A$4.A$.3A$.A!

Sixth edit: I just realized that the ash from the LIfeViewer in my previous edit creates a hat.

[EvinZL]

Code: Select all

x = 26, y = 35, rule = LifeHistory
13.A$12.BAB$12.3A$11.5B$11.5B$10.2B3A2B$10.3BA3B$9.4BA4B$9.4BA4B$10.
3BA3B7.A$10.2B3A2B6.A2B$11.5B6.B3A$4B7.5B5.4B$.4B7.3A5.4B$2.4B6.BAB4.
4B$3.4B6.A4.4B$4.4B5.8B$5.4B5.6B$6.4B2.8B$7.15B$8.14B$9.13B$10.10B.B
2A$12.3B2CB3.BA.A$12.3B2CB6.A$14.4B6.2A$14.3B$11.AB.2B$10.A.AB2AB$10.
A.ABABAB$9.2A.A.A.A2.A$10.A2.2A.4A$8.A.A4.A$8.2A5.A.A$16.2A!

[MathAndCode]

Code: Select all

x = 26, y = 35, rule = LifeHistory
13.A$12.BAB$12.3A$11.5B$11.5B$10.2B3A2B$10.3BA3B$9.4BA4B$9.4BA4B$10.
3BA3B7.A$10.2B3A2B6.A2B$11.5B6.B3A$4B7.5B5.4B$.4B7.3A5.4B$2.4B6.BAB4.
4B$3.4B6.A4.4B$4.4B5.8B$5.4B5.6B$6.4B2.8B$7.15B$8.14B$9.13B$10.10B.B
2A$12.3B2CB3.BA.A$12.3B2CB6.A$14.4B6.2A$14.3B$11.AB.2B$10.A.AB2AB$10.
A.ABABAB$9.2A.A.A.A2.A$10.A2.2A.4A$8.A.A4.A$8.2A5.A.A$16.2A!

Code: Select all

x = 31, y = 35, rule = LifeHistory
13.A$12.BAB$12.3A$11.5B$11.5B$10.2B3A2B$10.3BA3B$9.4BA4B$9.4BA4B$10.3B
A3B7.A$10.2B3A2B6.A2B$11.5B6.B3A$4B7.5B5.4B$.4B7.3A5.4B$2.4B6.BAB4.4B
$3.4B6.A4.4B4.B$4.4B5.8B4.3B$5.4B5.6B5.3A$6.4B2.8B4.2BA2B$7.15B2.2BA2B
$8.14B.2B3A2B$9.13B.7B$10.10B.4B3A3B$12.3B2CB3.4B3A3B$12.3B2CB5.7B$14.
4B5.2B3A2B$14.3B7.2BA2B$11.AB.2B8.2BA2B$10.A.AB2AB8.3A$10.A.ABABAB7.3B
$9.2A.A.A.A2.A6.B$10.A2.2A.4A$8.A.A4.A$8.2A5.A.A$16.2A!

Edit:

Code: Select all

x = 25, y = 68, rule = B3/S23
9b2o$7bo4bo2$7bo4bo$6bobo2bobo$5bo3b2o3bo$9b2o$9b2o$9b2o2$3b2o3bo2bo3b
2o$3bo12bo$bobo5b2o5bobo$b2ob2o2bo2bo2b2ob2o$4bob8obo$b2obo3bo2bo3bob
2o$obo2bo2b4o2bo2bobo$obobob3o2b3obobobo$bo2b3o6b3o2bo$2b2o2bo6bo2b2o
$4b2o3b2o3b2o$4bo2bo4bo2bo$b2obo10bob2o$b2obobo6bobob2o$4bobob4obobo$
b2obob2o4b2obob2o$b2obo10bob2o$4bo10bo$4b2o8b2o$2b2o12b2o$bo2bobo6bob
o2bo$obobob2o4b2obobobo$obobob2o4b2obobobo$b2obo2bo4bo2bob2o$4bo2bo4b
o2bo$b2obobo6bobob2o$bobob2ob4ob2obobo$3bo5b2o5bo$3b2o10b2o$9b2o$9b2o
$7bo4bo$7b6o8bo$20bo$20b3o$6bo6bo$7b6o4$22b3o$23bo$23bo$22b3o2$22b3o$
12b2o8b3o$12b2o$22b3o$23bo$8bo14bo$7bobob2o9b3o$7bobobobo$6b2obobobo2b
o$7bo2b2ob4o$5bobo4bo$5b2o5bobo$13b2o!

[wwei23]

Can the heart of the snark be replaced with an oscillator, too?