## 2D Replicator Classes

For discussion of other cellular automata.

### Re: 2D Replicator Classes

I would say this is a replicator
`x = 6, y = 3, rule = B2i3-r4ceit5ce6-c7e8/S2-a3-cj4cet5cei6-i78bo2bo\$6o\$bo2bo!`

or breeder?
`x = 10, y = 5, rule = B3ai4e5cei678/S2-ai34cet5ci6782bo5b2o\$b3o4b2o\$5o2b3o\$b3o4b2o\$2bo5b2o!`
Failed Replicator!
`x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bobo\$2bo!`

(That I wish was not failed D:)

jimmyChen2013

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Joined: December 11th, 2017, 3:28 am

### Re: 2D Replicator Classes

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

77topaz

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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:
`x = 78, y = 3, rule = B36/S2456o7b6o38b6o9b6o\$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:
`x = 12, y = 17, rule = B36/S2459b2o\$9bobo\$9bobo\$9bobo\$9bobo\$9b2o6\$2o\$obo\$obo\$obo\$obo\$2o!`

Or with a time offset:
`x = 17, y = 7, rule = B36/S245b2o\$b2o\$o2bo8b4o\$4o9b2o\$11b6o\$13b2o\$13b2o!`

77topaz

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### 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.

danny

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Location: New Jersey, USA

### 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.

77topaz

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Joined: January 12th, 2018, 9:19 pm

### Re: 2D Replicator Classes

`x = 3, y = 3, rule = B2cek5e8/S01e3y8obo2\$2bo!`

wwei23

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

### Re: 2D Replicator Classes

wwei23 wrote:
`x = 3, y = 3, rule = B2cek5e8/S01e3y8obo2\$2bo!`

Dirty. Creates a chaotic mess, but still expands at the edges using replication.

KittyTac

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

### Re: 2D Replicator Classes

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

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Location: Scotland

### Re: 2D Replicator Classes

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

Q90edge,90diag:

`x = 1, y = 1, rule = B1c/So!`

`x = 1, y = 1, rule = B1e/So!`

Q90edge,150diag:

`x = 1, y = 1, rule = B1c/S04co!`

`x = 1, y = 1, rule = B1e/S04eo!`

Q150edge,90diag:

`x = 1, y = 1, rule = B13ci/So!`

Q150edge,150diag:

`x = 1, y = 1, rule = B13i/S08o!`

This one has an oddball diag value:

`x = 1, y = 1, rule = B13i/So!`

as does this:
` x = 1, y = 1, rule = B13ai/S0o!`

Looks like rule 22:
`x = 1, y = 1, rule = B13ci/S0o!`

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

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Location: Scotland

### Re: 2D Replicator Classes

Class U, does it match any of the other two?:
`x = 3, y = 3, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8bo\$3o\$bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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

### Re: 2D Replicator Classes

muzik wrote:Class U, does it match any of the other two?:
`x = 3, y = 3, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8bo\$3o\$bo!`

Sone oscillators:
`x = 91, y = 42, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i876b2o12\$44b2o\$62bo27bo\$62bo12b3o12bo\$26b2o\$11b2o60bo5bo\$b2o35bo11bo\$38bo4b3o4bo20bo9bo\$3o5bob3o12b3o14bo3bo23bo11bo\$8bo5bo7bo7bo13bo\$11bo2bo7bo7bo9bo7bo19bo15bo\$2o65bo17bo\$38bo2bo5bo2bo\$10b2o26bo11bo14bo10bo10bo\$40bo7bo\$25b2o17bo\$42bo3bo15bo10bo5bo10bo\$62bo27bo\$43b2o\$65bo10bo10bo2\$67bo17bo\$68bo15bo\$10b2o\$23b2o3b2o40bo11bo\$10b3o58bo9bo\$7bo2bo3bo5bo2bo\$7bo2bo3bo5bob3o7bo40bo5bo\$11bo11bo8bo2\$10b2o11b2o3b2o45b2o!`

PHPBB12345

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### Re: 2D Replicator Classes

P14:
`x = 8, y = 7, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i83b2o\$2o3\$2b3o\$6b2o\$3b2o!`

P156:
`x = 68, y = 29, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i813b2o11b2o11b2o11b2o13\$53bo13bo\$o51b3o12bo\$o52bo13\$14b2o11b2o11b2o11b2o!`

Very big P52:
`x = 83, y = 83, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i840b2o12\$27bo27bo\$27bo27bo13\$41bo\$12b2o26b3o26b2o\$41bo12\$27bo27bo26bo\$o25b3o25b3o25bo\$o26bo27bo12\$41bo\$12b2o26b3o26b2o\$41bo13\$27bo27bo\$27bo27bo12\$41b2o!`

PHPBB12345

Posts: 584
Joined: August 5th, 2015, 11:55 pm

### Re: 2D Replicator Classes

I dont know if this counts, but it's cool anyway
`x = 1, y = 1, rule = B1e2i4e/So!`
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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

### Re: 2D Replicator Classes

PHPBB12345 wrote:Sone oscillators:
`x = 91, y = 42, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i876b2o12\$44b2o\$62bo27bo\$62bo12b3o12bo\$26b2o\$11b2o60bo5bo\$b2o35bo11bo\$38bo4b3o4bo20bo9bo\$3o5bob3o12b3o14bo3bo23bo11bo\$8bo5bo7bo7bo13bo\$11bo2bo7bo7bo9bo7bo19bo15bo\$2o65bo17bo\$38bo2bo5bo2bo\$10b2o26bo11bo14bo10bo10bo\$40bo7bo\$25b2o17bo\$42bo3bo15bo10bo5bo10bo\$62bo27bo\$43b2o\$65bo10bo10bo2\$67bo17bo\$68bo15bo\$10b2o\$23b2o3b2o40bo11bo\$10b3o58bo9bo\$7bo2bo3bo5bo2bo\$7bo2bo3bo5bob3o7bo40bo5bo\$11bo11bo8bo2\$10b2o11b2o3b2o45b2o!`

Found in the stable interior ash of an explosion:
`x = 12, y = 12, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i85b2o\$8b2o2\$3b3o\$obo2bo\$obo2bo4b2o\$2b3obo\$5bo3bo\$5bo3bo\$5b2o\$8bo\$8bo!`

77topaz

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

### 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.
`x = 3, y = 3, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8bo\$obo\$bo!`

It was isolated from the ash of this very-ungracefully-failed 1D replicator.
`x = 4, y = 3, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8b2o\$o2bo\$b2o!`

wwei23

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

### 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.
`x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e84.2A\$6.A\$4.2A\$\$A.A\$A.A\$.A\$!`

A clean 1D replicator.
`x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8.2A6.2A\$A2.A4.A2.A\$.2A6.2A\$!`

A couple of oscillators.
`x = 27, y = 22, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e82A14.2A7.2A\$2A13.A2.A6.2A\$16.2A9.17\$2.A.A\$.A2.A\$A.2A\$!`

Layz Boi

Posts: 41
Joined: October 25th, 2018, 3:57 pm

### 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.
`x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e84.2A\$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.

KittyTac

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

### Re: 2D Replicator Classes

NOT GRACEFUL
`x = 3, y = 3, rule = B2en3-aek4nq5ce6ein8/S1c2cek3ijnqy4ekyz5ck6i8bo\$obo\$bo!`

wwei23

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

### Re: 2D Replicator Classes

Centered 3-way
`x = 1, y = 1, rule = MAPSACAAAAAAABIAAAAAAAAAKQAAAAAAAAAAAAAAAAAAABIAAAAAAAAAAAAIQAAAAAAAAAAAAAAAAAAAAAAAAAAAAo!`

7-way:
`x = 1, y = 1, rule = MAPaYAAAIAAAABAgAAAAAAAAIAAAAAAAAAAgAAAAAAAAACEAAAACAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### 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.

Majestas32

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

### Re: 2D Replicator Classes

An oblique replicator
`x = 4, y = 3, rule = B3ai4a5/S234abo\$obo\$ob2o!`
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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

### Re: 2D Replicator Classes

Is this replicator a D or U?
`x = 3, y = 3, rule = B3aijnq7c/S23-ckqo\$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

toroidalet

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### Re: 2D Replicator Classes

toroidalet wrote:Is this replicator a D or U?
`x = 3, y = 3, rule = B3aijnq7c/S23-ckqo\$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!

77topaz

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

### Re: 2D Replicator Classes

I made a p40 glider gun in the above rule (EDIT: smaller):
`x = 18, y = 31, rule = B3aijnq7c/S23-ckq6bob2o\$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:
`x = 74, y = 54, rule = B3aijnq7c/S23-ckq52b2o\$52bo\$53bo\$52b2o13\$36b2o\$36bo\$37bo\$36b2o\$70b2obo\$70bob2o3\$4b2o6b2o6b2o6b2o36bob2o\$4bo7bo7bo7bo37b2obo\$5bo7bo7bo7bo\$4b2o6b2o6b2o6b2o6\$19bo\$19bo\$17b3o\$62b2obo\$62bob2o5\$2o6b2o6b2o6b2o6b2o6b2o\$bo7bo7bo7bo7bo7bo\$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):
`x = 4, y = 2, rule = B2ce3aky4acer5jknry6-ac7c8/S2-cn3-cinq4ceikr5-anry6-ckob2o\$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

toroidalet

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### Re: 2D Replicator Classes

2c/18 ship in that rule:
`x = 9, y = 5, rule = B2ce3aky4acer5jknry6-ac7c8/S2-cn3-cinq4ceikr5-anry6-ck2bo\$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.

danny

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