2D Replicator Classes

For discussion of other cellular automata.
jimmyChen2013
Posts: 133
Joined: December 11th, 2017, 3:28 am

Re: 2D Replicator Classes

I would say this is a replicator

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``````x = 6, y = 3, rule = B2i3-r4ceit5ce6-c7e8/S2-a3-cj4cet5cei6-i78
bo2bo\$6o\$bo2bo!
``````

or breeder?

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``````x = 10, y = 5, rule = B3ai4e5cei678/S2-ai34cet5ci678
2bo5b2o\$b3o4b2o\$5o2b3o\$b3o4b2o\$2bo5b2o!
``````
Failed Replicator!

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``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
(That I wish was not failed D:)

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: 2D Replicator Classes

I'd go more with "breeder" than "replicator" for both of those, yes.

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: 2D Replicator Classes

I feel like people may have forgotten about this rule, with one of the weirdest replicators in Life-like CA:

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``````x = 78, y = 3, rule = B36/S245
6o7b6o38b6o9b6o\$o4bo7bo4bo38bo4bo9bo4bo\$b4o9b4o40b4o11b4o!
``````
Note that single half-replicator breaks, but a pair works the same at separation 7 and 9. They can even be offset in the other direction:

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``````x = 12, y = 17, rule = B36/S245
9b2o\$9bobo\$9bobo\$9bobo\$9bobo\$9b2o6\$2o\$obo\$obo\$obo\$obo\$2o!
``````
Or with a time offset:

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``````x = 17, y = 7, rule = B36/S245
b2o\$b2o\$o2bo8b4o\$4o9b2o\$11b6o\$13b2o\$13b2o!
``````

danny
Posts: 968
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

Re: 2D Replicator Classes

That's not a 2d replicator though...
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: 2D Replicator Classes

Okay, technically you're correct, but aren't linear replicators a subset of 2D replicators anyway? I think the regular ones like HighLife's replicator could even be considered their own class. Anyway, I thought this was a nice replicator whose unusual, difficult-to-classify behaviour might be of interest to this thread.

wwei23
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: 2D Replicator Classes

Code: Select all

``````x = 3, y = 3, rule = B2cek5e8/S01e3y8
obo2\$2bo!
``````

KittyTac
Posts: 533
Joined: December 21st, 2017, 9:58 am

Re: 2D Replicator Classes

wwei23 wrote:

Code: Select all

``````x = 3, y = 3, rule = B2cek5e8/S01e3y8
obo2\$2bo!
``````
Dirty. Creates a chaotic mess, but still expands at the edges using replication.

muzik
Posts: 3500
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Code: Select all

``````x = 3, y = 5, rule = B2e3aijkq4ac7c/S2-an3-a
bo\$obo\$3o\$obo\$bo!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3500
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

There are a few "Q-like" replicator classes that exist:

Q90edge,90diag:

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``````x = 1, y = 1, rule = B1c/S
o!
``````

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``````x = 1, y = 1, rule = B1e/S
o!
``````
Q90edge,150diag:

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``````x = 1, y = 1, rule = B1c/S04c
o!
``````

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``````x = 1, y = 1, rule = B1e/S04e
o!
``````
Q150edge,90diag:

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``````x = 1, y = 1, rule = B13ci/S
o!
``````
Q150edge,150diag:

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``````x = 1, y = 1, rule = B13i/S08
o!
``````
This one has an oddball diag value:

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``````x = 1, y = 1, rule = B13i/S
o!
``````
as does this:

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`````` x = 1, y = 1, rule = B13ai/S0
o!``````
Looks like rule 22:

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``````x = 1, y = 1, rule = B13ci/S0
o!
``````

Also, is there really any difference between class-S and class-Q9090 replicators? Skipping the right amount of generations on a class-S causes it to replicate exactly like a class-Q9090, so is there any need for a distinction?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3500
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Class U, does it match any of the other two?:

Code: Select all

``````x = 3, y = 3, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
bo\$3o\$bo!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

PHPBB12345
Posts: 607
Joined: August 5th, 2015, 11:55 pm
Contact:

Re: 2D Replicator Classes

muzik wrote:Class U, does it match any of the other two?:

Code: Select all

``````x = 3, y = 3, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
bo\$3o\$bo!
``````
Sone oscillators:

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``````x = 91, y = 42, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
76b2o12\$44b2o\$62bo27bo\$62bo12b3o12bo\$26b2o\$11b2o60bo5bo\$b2o35bo11bo\$
38bo4b3o4bo20bo9bo\$3o5bob3o12b3o14bo3bo23bo11bo\$8bo5bo7bo7bo13bo\$11bo
2bo7bo7bo9bo7bo19bo15bo\$2o65bo17bo\$38bo2bo5bo2bo\$10b2o26bo11bo14bo10bo
10bo\$40bo7bo\$25b2o17bo\$42bo3bo15bo10bo5bo10bo\$62bo27bo\$43b2o\$65bo10bo
10bo2\$67bo17bo\$68bo15bo\$10b2o\$23b2o3b2o40bo11bo\$10b3o58bo9bo\$7bo2bo3bo
5bo2bo\$7bo2bo3bo5bob3o7bo40bo5bo\$11bo11bo8bo2\$10b2o11b2o3b2o45b2o!
``````

PHPBB12345
Posts: 607
Joined: August 5th, 2015, 11:55 pm
Contact:

Re: 2D Replicator Classes

P14:

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``````x = 8, y = 7, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
3b2o\$2o3\$2b3o\$6b2o\$3b2o!
``````
P156:

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``````x = 68, y = 29, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
13b2o11b2o11b2o11b2o13\$53bo13bo\$o51b3o12bo\$o52bo13\$14b2o11b2o11b2o11b
2o!
``````
Very big P52:

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``````x = 83, y = 83, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
40b2o12\$27bo27bo\$27bo27bo13\$41bo\$12b2o26b3o26b2o\$41bo12\$27bo27bo26bo\$o
25b3o25b3o25bo\$o26bo27bo12\$41bo\$12b2o26b3o26b2o\$41bo13\$27bo27bo\$27bo
27bo12\$41b2o!
``````

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: 2D Replicator Classes

I dont know if this counts, but it's cool anyway

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``````x = 1, y = 1, rule = B1e2i4e/S
o!``````
Airy Clave White It Nay

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``````x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5b
o2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!
``````
(Check gen 2)

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: 2D Replicator Classes

PHPBB12345 wrote:Sone oscillators:

Code: Select all

``````x = 91, y = 42, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
76b2o12\$44b2o\$62bo27bo\$62bo12b3o12bo\$26b2o\$11b2o60bo5bo\$b2o35bo11bo\$
38bo4b3o4bo20bo9bo\$3o5bob3o12b3o14bo3bo23bo11bo\$8bo5bo7bo7bo13bo\$11bo
2bo7bo7bo9bo7bo19bo15bo\$2o65bo17bo\$38bo2bo5bo2bo\$10b2o26bo11bo14bo10bo
10bo\$40bo7bo\$25b2o17bo\$42bo3bo15bo10bo5bo10bo\$62bo27bo\$43b2o\$65bo10bo
10bo2\$67bo17bo\$68bo15bo\$10b2o\$23b2o3b2o40bo11bo\$10b3o58bo9bo\$7bo2bo3bo
5bo2bo\$7bo2bo3bo5bob3o7bo40bo5bo\$11bo11bo8bo2\$10b2o11b2o3b2o45b2o!
``````
Found in the stable interior ash of an explosion:

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``````x = 12, y = 12, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
5b2o\$8b2o2\$3b3o\$obo2bo\$obo2bo4b2o\$2b3obo\$5bo3bo\$5bo3bo\$5b2o\$8bo\$8bo!
``````

wwei23
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: 2D Replicator Classes

It's failed, but it fails gracefully.
It doesn't leave behind chaos, only blocks.
As it does so, it creates a beautiful fractal pattern.
To understand sone more, you should see for yourself.

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``````x = 3, y = 3, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
bo\$obo\$bo!
``````
It was isolated from the ash of this very-ungracefully-failed 1D replicator.

Code: Select all

``````x = 4, y = 3, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
b2o\$o2bo\$b2o!
``````

Layz Boi
Posts: 48
Joined: October 25th, 2018, 3:57 pm

Re: 2D Replicator Classes

wwei23 wrote:B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
Here's another replicator found in that ash. It also leaves behind a fractal pattern, but made of tiny oscillators.

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``````x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
4.2A\$6.A\$4.2A\$\$A.A\$A.A\$.A\$!``````
A clean 1D replicator.

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``````x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
.2A6.2A\$A2.A4.A2.A\$.2A6.2A\$!``````
A couple of oscillators.

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``````x = 27, y = 22, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
2A14.2A7.2A\$2A13.A2.A6.2A\$16.2A9.17\$2.A.A\$.A2.A\$A.2A\$!``````

KittyTac
Posts: 533
Joined: December 21st, 2017, 9:58 am

Re: 2D Replicator Classes

Layz Boi wrote: Here's another replicator found in that ash. It also leaves behind a fractal pattern, but made of tiny oscillators.

Code: Select all

``````x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
4.2A\$6.A\$4.2A\$\$A.A\$A.A\$.A\$!``````
That's a Sierpinski Triangle. Easy to find in CA if you know where to look.

wwei23
Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

Re: 2D Replicator Classes

NOT GRACEFUL

Code: Select all

``````x = 3, y = 3, rule = B2en3-aek4nq5ce6ein8/S1c2cek3ijnqy4ekyz5ck6i8
bo\$obo\$bo!
``````

muzik
Posts: 3500
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Centered 3-way

Code: Select all

``````x = 1, y = 1, rule = MAPSACAAAAAAABIAAAAAAAAAKQAAAAAAAAAAAAAAAAAAABIAAAAAAAAAAAAIQAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
``````
7-way:

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``````x = 1, y = 1, rule = MAPaYAAAIAAAABAgAAAAAAAAIAAAAAAAAAAgAAAAAAAAACEAAAACAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Majestas32
Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

Re: 2D Replicator Classes

77topaz wrote:I suppose a class A stops replicating and turns into another pattern, and a class D continues replicating at its outer edges but leaves behind chaos in its centre, but even the OP doesn't really make this distinction clear - the second posted class D looks like it could be class A. The first example class D suggests it's supposed to be a sort of "class F but messier".
I'd suggest class A is failed replicators that eventually become some sort of finite or linear-growth pattern, class D is failed repliators that expand infinitely with chaos penetrating near the center of the pattern for all time, and class F is class D but with the region of stability near the center expanding over time.

So wwei's first replicator on this page is class F and his second one is class D.
Please, stop spam searching Snowflakes.

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: 2D Replicator Classes

An oblique replicator

Code: Select all

``````x = 4, y = 3, rule = B3ai4a5/S234a
bo\$obo\$ob2o!
``````
Airy Clave White It Nay

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``````x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5b
o2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!
``````
(Check gen 2)

toroidalet
Posts: 1019
Joined: August 7th, 2016, 1:48 pm
Location: my computer
Contact:

Re: 2D Replicator Classes

Is this replicator a D or U?

Code: Select all

``````x = 3, y = 3, rule = B3aijnq7c/S23-ckq
o\$o\$3o!
``````
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: 2D Replicator Classes

toroidalet wrote:Is this replicator a D or U?

Code: Select all

``````x = 3, y = 3, rule = B3aijnq7c/S23-ckq
o\$o\$3o!
``````
I'd consider that a class U. It's not as messy as the class D examples, as the interior has a clear structure - the replicators and blocks actually seem to be simulating another cellular automaton!

toroidalet
Posts: 1019
Joined: August 7th, 2016, 1:48 pm
Location: my computer
Contact:

Re: 2D Replicator Classes

I made a p40 glider gun in the above rule (EDIT: smaller):

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``````x = 18, y = 31, rule = B3aijnq7c/S23-ckq
6bob2o\$6b2obo2\$2o\$bo\$o\$2o14b2o\$16bo\$17bo\$16b2o\$6b3o\$6bobo\$6b2o6\$14bo\$
2b3o8bobo\$4bo9bo\$4bo8\$8bob2o\$8b2obo!
``````
It's fun to enclose a replicator in snakes and watch it evolve and it reminds me of extinction turmites:

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``````x = 74, y = 54, rule = B3aijnq7c/S23-ckq
52b2o\$52bo\$53bo\$52b2o13\$36b2o\$36bo\$37bo\$36b2o\$70b2obo\$70bob2o3\$4b2o6b
2o6b2o6b2o36bob2o\$4bo7bo7bo7bo37b2obo\$5bo7bo7bo7bo\$4b2o6b2o6b2o6b2o6\$
19bo\$19bo\$17b3o\$62b2obo\$62bob2o5\$2o6b2o6b2o6b2o6b2o6b2o\$bo7bo7bo7bo7bo
7bo\$o7bo7bo7bo7bo7bo21b2obo\$2o6b2o6b2o6b2o6b2o6b2o20bob2o5\$48b2o\$49bo\$
48bo\$48b2o!
``````
I also found a turner for a pair of replicator signals (separated by 40 generations), but I lost it.

But that's a digression from the topic of collecting miscellaneous (wow, I typed that word right!) replicators. To reconcile that, here is a funky class-R replicator which is also a failed replicator (see generations 12,13, 24, and 25):

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``````x = 4, y = 2, rule = B2ce3aky4acer5jknry6-ac7c8/S2-cn3-cinq4ceikr5-anry6-ck
ob2o\$4o!
``````
(It is funky because the copies are not in sync with each other and if you zoom out and simulate it then you can see cool patterns right as everything starts to die)
I don't think it's even a sawtooth.
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

danny
Posts: 968
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

Re: 2D Replicator Classes

2c/18 ship in that rule:

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``````x = 9, y = 5, rule = B2ce3aky4acer5jknry6-ac7c8/S2-cn3-cinq4ceikr5-anry6-ck
2bo\$2ob2ob3o\$2ob2o2b2o2\$7bo!
``````
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.