Thread For Your Useless Discoveries

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
ColorfulGabrielsp138
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Re: Thread For Your Useless Discoveries

Post by ColorfulGabrielsp138 »

Naszvadi wrote: June 16th, 2021, 12:18 pm
ColorfulGabrielsp138 wrote: June 15th, 2021, 3:35 am I recently found a 21-cell pure glider generator whose initial configuration consists entirely of lone dots.
Should it be added to the wiki, or did anyone find a smaller one?
What is the smallest two-cell-thick pure glider generator?
Also, are there any one-cell-thick pure glider generators?

Code: Select all

x = 19, y = 15, rule = B3/S23
6bobo2$5bobobo$16bo$6bobobo7bo$16bo$18bo$16bo2$2bo$o3bo$2bo$o3bo$2bo$
o!  21-cell lone dot pure-glider generator
PGG:

Code: Select all

x = 16, y = 8, rule = B3/S23
5bo$3bo9bo$5bo9bo$bobo9bo$5bo9bo$bobo9bo$15bo$obobo!
P3:

Code: Select all

x = 7, y = 5, rule = B3/S23
2bobobo2$bobobo2$obobo!
[APPEND#1]
PGG 16 cells?

Code: Select all

x = 13, y = 9, rule = B3/S23
5bo$3bo$5bo$bobo$5bo$bobo$8bobobo$obobo$9bobo!
[APPEND#2]
PGG 12 cells:

Code: Select all

x = 6, y = 11, rule = B3/S23
3bobo2$2bobo$o$2bo$o$2bo$o$2bo$o$2bo!
wwei23 found a 10-cell version. Maybe that one could be added to the wiki.

Code: Select all

x = 6, y = 7, rule = B3/S23
2bobo2$bobo2$obobo2$bobobo!

Code: Select all

x = 21, y = 21, rule = LifeColorful
11.E$10.3E$10.E.2E$13.E4$2.2B$.2B$2B$.2B15.2D$19.2D$18.2D$17.2D4$7.C$
7.2C.C$8.3C$9.C!
I have reduced the glider cost of quadratic growth to eight and probably to seven. Looking for conduits...
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Aleph
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Re: Thread For Your Useless Discoveries

Post by Aleph »

Significant reduction to Mirage

Code: Select all

x = 68, y = 46, rule = B3/S23
17bo$14bo3bo3b2o$16bo3bo$15bo3bo3b2o$13bo3bo3bo$14bo3bo3bobo$16bo3bo$
4bo10bo3bo$2bo3bo10bo3bo$bo3bo3bo8bo47bo$3bo3bo53bobo3bo$o3bo3bo52bo3b
o$2bo3bo3bo53bo$bo3bo3bo52bo3bo$3bo3bo3bo51bo$4bo3bo29bo19bo$2bo3bo3b
o17bo6bo3bo3b2o7b2o3bo3bo$5bo3bo8bo6bo3bo7bo3bo13bo3bo$bobo3bo8bo3bo6b
o8bo3bo3b2o5b2o3bo3bo$3bo13bo3bo4bo7bo3bo3bo11bo3bo3bo$5bobo7bo3bo4bo
3bo6bo3bo3bobo5bobo3bo3bo$18bo3bo2bo11bo3bo13bo3bo$16bo3bo6b2o7bo3bo6b
obo6bo3bo$17bo3bo16bo3bo6bobo2bo3bo$9bo9bo5bo13bo7bo3bo5bo$7bo3bo4bob
o4bo3bo16bo3bo$6bo3bo13bo3bo6bobo8bo3bo$8bo3bo9bo3bo11bo6bo3bo$5bo3bo
3bo7bo3bo3bo6bo3bo2bo3bo3bo$7bo3bo11bo3bo7bo3bo4bo3bo3bo$6bo3bo2bo7bo
2bo3bo8bo3bo4bo3bo$8bo17bo7bo3bo6bo3bo$36bo3bo6bo3bo$8bobo24bo3bo8bo$
11bo25bo17bobo$9bo3bo43bobo$8bo3bo42bo3bo$10bo3bo37bo3bo$7bo3bo42bo3b
o$9bo3bo39bo3bo$8bo3bo38bo3bo3bo$10bo41bo3bo3bo$54bo3bo$53bo3bo$55bo3b
o$56bo!
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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen »

Rather slow eater for the smallest c/4 orthogonal spaceship, featuring an atypical eater 1 catalysis:

Code: Select all

x = 28, y = 26, rule = B3/S23
2o$2o$25bo$23bo2b2o$21b3o$20bobo$20bob2o$19bo4bo$18b2o2$6b2o9bo4b2o$5b
obo13bo$5bo12b3o$4b2o14bo$21bo$20b2o$21bo$21b2o$18bo2b2o$16b2o3bo$18bo
$9b2o$8bo2bo$7bob2o$7bo$6b2o!
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hotcrystal0
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Re: Thread For Your Useless Discoveries

Post by hotcrystal0 »

This makes a snake, beehive, and block.

Code: Select all

x = 5, y = 5, rule = B3/S23
b2o$bob2o2$obo$2o!
INT-hacked Lightcone when?
103 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode »

Hdjensofjfnen wrote: June 19th, 2021, 1:23 am Rather slow eater for the smallest c/4 orthogonal spaceship
Here's a quicker eater:

Code: Select all

x = 24, y = 29, rule = B3/S23
2o$bo$bobo$2b2o2$21bo$19bo2b2o$17b3o$16bobo$16bob2o$15bo4bo$14b2o2$13b
o4b2o$17bo$14b3o$16bo$17bo$16b2o$17bo$17b2o$14bo2b2o$12b2o3bo$14bo$5b
2o$4bo2bo$3bob2o$3bo$2b2o!
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EvinZL
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Re: Thread For Your Useless Discoveries

Post by EvinZL »

Went conduit hunting, found a carrier

Code: Select all

x = 6, y = 16, rule = LifeHistory
4.2A$4.2A3$3.A$3.2A$4.2A$2.A.A$2.2A$2.A4$.A$A.A$.A!
MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode »

Here's an unconnectable I->P:

Code: Select all

x = 7, y = 14, rule = LifeHistory
3.A$.3A$A$2A3$4.3D$4.D.D$4.D.D$.3C$.C2.C$5.C$2.C.C$3.C!
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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen »

MathAndCode wrote: June 20th, 2021, 4:23 pm Here's an unconnectable I->P:

Code: Select all

x = 7, y = 14, rule = LifeHistory
3.A$.3A$A$2A3$4.3D$4.D.D$4.D.D$.3C$.C2.C$5.C$2.C.C$3.C!
This position of the eater allows for more room for an output, but pis are notoriously difficult to catalyze:

Code: Select all

x = 9, y = 14, rule = LifeHistory
2A$A.A$2.A$2.2A3$6.3D$6.D.D$6.D.D$3.3C$3.C2.C$7.C$4.C.C$5.C!
MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode »

A claw with tail can eat a certain traffic light predecessor analogously to a beehive with tail.

Code: Select all

x = 6, y = 8, rule = B3/S23
3bo$3bobo$3bo$2o$o2bo$b2obo$4bo$4b2o!
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mniemiec
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Re: Thread For Your Useless Discoveries

Post by mniemiec »

MathAndCode wrote: June 20th, 2021, 6:32 pmA claw with tail can eat a certain traffic light predecessor analogously to a beehive with tail. ...
This is probably less useful than it looks, as I don't think it's even possible to get that predecessor into that position without it having previously already interacted with the claw w/tail.
MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode »

mniemiec wrote: June 20th, 2021, 9:56 pmI don't think it's even possible to get that predecessor into that position without it having previously already interacted with the claw w/tail.
Yes, that's why I posted it in this thread.
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trubiso
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Re: Thread For Your Useless Discoveries

Post by trubiso »

Code: Select all

x = 13, y = 20, rule = B3/S23
obo$b2o$bo7$8b2o$5bo$4bobo2b2o$2bobob3o2bo$2bo2b6o$5b2ob2o$4b6o2bo$3bo
2b3obobo$4b2o2bobo$9bo$5b2o!
A methuselah that takes 3.7k generations to stabilize (collision between a glider and Kok's galaxy)
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yujh
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Re: Thread For Your Useless Discoveries

Post by yujh »

trubiso wrote: June 21st, 2021, 5:12 am

Code: Select all

x = 13, y = 20, rule = B3/S23
obo$b2o$bo7$8b2o$5bo$4bobo2b2o$2bobob3o2bo$2bo2b6o$5b2ob2o$4b6o2bo$3bo
2b3obobo$4b2o2bobo$9bo$5b2o!
A methuselah that takes 3.7k generations to stabilize (collision between a glider and Kok's galaxy)
First of all, welcome to the forums!

Yes, it's a collision between a Kok's galaxy and a glider, so it must be known from a long time ago (since Kok's galaxy is long known, and other people have tested all collisions of a glider with it. I just can't provide where they can be for now.
Also, a meth that takes 3.7k isn't very impressive, we have much smaller examples, like bunniesthat last more than 10k, which is definetly much more impressive.
Don't need to feel sad for that, if you want to explore Conway's Game of Life try Lifewiki, you can find a lot over there.
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

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MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode »

Here are two seven-cell patterns that almost make long integrals:

Code: Select all

x = 18, y = 7, rule = B3/S23
o13bo$o13bo$o13bo$2bo13bo$2bo13bo$b2o14bo$17bo!
[[ STOP 3 ]]
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Kazyan
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Re: Thread For Your Useless Discoveries

Post by Kazyan »

My CatForce runs use a symmetrical version of the drifter catalyst for ease of computation, but this result uses both sides:

Code: Select all

x = 21, y = 25, rule = B3/S23
14b2o$10b2obobo$11bobo$11bob2o$8b2obo$8bo2b4o$5bo4bo3bo$5b5ob3o$9bobo
7bo$5b3obobo6bobo$4bo2bob2o7bobo$4b2o13bo10$o$obo$3o$2bo!
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MathAndCode
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Re: Thread For Your Useless Discoveries

Post by MathAndCode »

Here's a hopeless partial P->L conduit:

Code: Select all

x = 17, y = 16, rule = B3/S23
3bo$3b3o$6bo$5b2o3$bo$obo$bo$8bo$7b3o$7bobo3b2o$3b2o8bobo$4bo10bo$b3o
11b2o$bo!
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Re: Thread For Your Useless Discoveries

Post by Entity Valkyrie 2 »

Kazyan wrote: June 21st, 2021, 8:24 pm My CatForce runs use a symmetrical version of the drifter catalyst for ease of computation, but this result uses both sides:

Code: Select all

x = 21, y = 25, rule = B3/S23
14b2o$10b2obobo$11bobo$11bob2o$8b2obo$8bo2b4o$5bo4bo3bo$5b5ob3o$9bobo
7bo$5b3obobo6bobo$4bo2bob2o7bobo$4b2o13bo10$o$obo$3o$2bo!
And the beehive even is transparent!
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Re: Thread For Your Useless Discoveries

Post by Null »

Entity Valkyrie 2 wrote: June 22nd, 2021, 7:31 pm
Kazyan wrote: June 21st, 2021, 8:24 pm My CatForce runs use a symmetrical version of the drifter catalyst for ease of computation, but this result uses both sides:

Code: Select all

x = 21, y = 25, rule = B3/S23
14b2o$10b2obobo$11bobo$11bob2o$8b2obo$8bo2b4o$5bo4bo3bo$5b5ob3o$9bobo
7bo$5b3obobo6bobo$4bo2bob2o7bobo$4b2o13bo10$o$obo$3o$2bo!
And the beehive even is transparent!
(Just to confirm things, not disagreeing) Probably that transparent beehive was one of the catalysts, but bonus points for showing up along the cool drifty eater catalysis.
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Aleph
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Re: Thread For Your Useless Discoveries

Post by Aleph »

4c/21 partial:

Code: Select all

x = 10, y = 15, rule = B3/S23
7bo$7bo2$5bobobo$5b5o$3b2ob3o$4b2obobo$2ob4ob2o$4b2obobo$3b2ob3o$5b5o$
5bobobo2$7bo$7bo!
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Re: Thread For Your Useless Discoveries

Post by praosylen »

Edge-repair spaceship 2 and the failed p2 bumper perform the exact same interaction:

Code: Select all

x = 49, y = 64, rule = B3/S23
4bo$2bobo$3bobo$3bo4bo$8bo$4bo3b2o29bo$4bo34bo$obo2bo33b2o$o34bo$o2b2o
23bo6bo$27b3o4bobo$b3o23b3o$33bo$29b5o$28b2o3bo$27b3o3bo$27bo2b4o$30b
o2bo$27bo2b2o$26bo2b3o$26bo3bo$26bo2b2o$28bo$28bo$27bo2bo$27b3o$27bo2$
26b2o2$26b3o3$4bo6bo30bo$2bobo6bobo28bobo$3bobo5b2o29b2o$3bo$9b2o29b2o
$4bo3bo2bo27bo2bo$4bo4bobo28bobo$obo2bo4bo30bo$o34bo$o2b2o9b2o12bo6bo
9b2o$14bo12b3o4bobo8bo$b3o11b3o9b3o16b3o$17bo15bo14bo$29b5o$28b2o3bo$
27b3o3bo$27bo2b4o$30bo2bo$27bo2b2o$26bo2b3o$26bo3bo$26bo2b2o$28bo$28b
o$27bo2bo$27b3o$27bo2$26b2o2$26b3o!
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hotdogPi
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Re: Thread For Your Useless Discoveries

Post by hotdogPi »

While looking for shuttles, I haven't found anything decent that's flipped or rotated, but I did find two that almost went back to the same spot in the same orientation, although the first wouldn't have a good sparker even if it was exact. The first is one cell off, and the second is three cells off. If they did work, the first would be p114 (look at generation 104), and the second would be p68 (look at generation 35, although they would converge one generation later).

Code: Select all

x = 68, y = 30, rule = LifeHistory
A$3A$3.A$2.2A8$57.3A3B$54.E.BA2BA3B$54.E.5BA3B$56.3ABA4B$56.3A6B$57.
6B2A$56.5B2A2BA$57.3BCABAB2A$11.2A44.2BDBD2BAB2A$10.2AB45.BDABD5B$10.
BAB2A43.BD2BD2BABA$10.ACBABA43.BAD4BA$9.BCAC3B44.A3BA$9.BDBAC2BA44.AB
A$9.AD2BCBA46.A$10.BACBA32.2A$12.B33.A.A$13.2E31.A$45.2A!
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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hotcrystal0
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Re: Thread For Your Useless Discoveries

Post by hotcrystal0 »

A butterfly can turn a block into a beehive and then back to a block.

Code: Select all

x = 11, y = 4, rule = B3/S23
b3o5b2o$obo6b2o$2o$o!
Random boat catalysis I found by accident

Code: Select all

x = 8, y = 10, rule = Life
2o$obo$bo2$3b3o$2bo3bo$7bo$2bo4bo$4b3o$5bo!
???

Code: Select all

x = 22, y = 17, rule = B3/S23
8bo$7bobo$8bo2$6b5o$5bo4bo$4bo2bo$bo2bob2o$obobo5bo10bo$bo2bo4bobo7b3o
$4b2o2bo2bo6bo$9b2o7b2o3$11b3o$13bo$11b3o!
Last edited by hotcrystal0 on June 25th, 2021, 7:20 pm, edited 1 time in total.
INT-hacked Lightcone when?
103 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
ActivistVictor
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Re: Thread For Your Useless Discoveries

Post by ActivistVictor »

Does this pattern have a name? I call it the digital 8 methuselah due to how it looks on generation 7, but certainly someone must have seen this one before

Code: Select all

x = 4, y = 4, rule = B3/S23
b3o$o$2o$b2o!
It's of interest because, if it interacts with a certain spark in the right way, it can form a switch engine, and this interaction is responsible for the only infinite growth from soup i've found.

Code: Select all

x = 12, y = 8, rule = B3/S23
obo$2b2o6bo$11bo$10bo$5bo3bo$6b2o$8bo$6bo!


Note this doesn't infinitely grow here since it's not stable, I just pasted this to show the interaction which causes the engine to arise.
I also think it's how the switch engine arises in 2x12 infinite growth
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Re: Thread For Your Useless Discoveries

Post by hotcrystal0 »

ActivistVictor wrote: June 25th, 2021, 7:11 pm Does this pattern have a name? I call it the digital 8 methuselah due to how it looks on generation 7, but certainly someone must have seen this one before

Code: Select all

x = 4, y = 4, rule = B3/S23
b3o$o$2o$b2o!
[code]

It's of interest because, if it interacts with a certain spark in the right way, it can form a switch engine, and this interaction is responsible for the only infinite growth from soup i've found. 
Note this doesn't infinitely grow here since it's not stable, I just pasted this to show the interaction which causes the engine to arise. 
 I also think it's how the switch engine arises in 2x12 infinite growth
[/quote]

Can you use code instead of viewer?
INT-hacked Lightcone when?
103 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
ActivistVictor
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Re: Thread For Your Useless Discoveries

Post by ActivistVictor »

Code: Select all

x = 4, y = 4, rule = B3/S23
b3o$o$2o$b2o!

Code: Select all

x = 12, y = 8, rule = B3/S23
obo$2b2o6bo$11bo$10bo$5bo3bo$6b2o$8bo$6bo!
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