2D Replicator Classes

For discussion of other cellular automata.
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Redstoneboi
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Re: 2D Replicator Classes

Post by Redstoneboi »

trivial as can be

Code: Select all

x = 1 y = 1 rule = B/S
b!
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2718281828
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Re: 2D Replicator Classes

Post by 2718281828 »

A 'mirrored' triangle:

Code: Select all

x = 3, y = 5, rule = B2ce3ai5e6n/S1e2ace3-acjk4t
bo$bo3$3o!
something related:

Code: Select all

x = 3, y = 5, rule = B2ce3ai5e6kn7c8/S1e2ace3-acjk4t
bo$bo3$3o!
This one is also interesing:

Code: Select all

x = 3, y = 5, rule = B2ce3ai6i/S1e2ace3-acjk4t
bo$bo3$3o!
dani
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Re: 2D Replicator Classes

Post by dani »

8 fold:

Code: Select all

x = 3, y = 3, rule = B3ai4cej6ekn7c/S2-a3aeiny4-t5ijkr6-a7c8
bo$obo$bo!
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LaundryPizza03
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Re: 2D Replicator Classes

Post by LaundryPizza03 »

I don't recognize this class

Code: Select all

x = 3, y = 4, rule = 23-e4in/3/4
3A$A.A$A.A$.A!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Redstoneboi
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Re: 2D Replicator Classes

Post by Redstoneboi »

LaundryPizza03 wrote:I don't recognize this class

Code: Select all

x = 3, y = 4, rule = 23-e4in/3/4
3A$A.A$A.A$.A!
it replicates, every 8 generations, into 3 copies, one forward, 2 sideward. collisions result in mutual destruction.
it seems to be a hybrid between quadruple replicators and sierpinski generators...
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「Fluffy」is my sutando.
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「Fluffy」likes to watch spaceship guns in Golly.
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muzik
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Re: 2D Replicator Classes

Post by muzik »

Class Q?

Code: Select all

x = 3, y = 3, rule = B3aein6n8/S2-a3i4in5e
bo$3o$bo!
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Redstoneboi
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Re: 2D Replicator Classes

Post by Redstoneboi »

muzik wrote:Class Q?

Code: Select all

x = 3, y = 3, rule = B3aein6n8/S2-a3i4in5e
bo$3o$bo!
It replicates, but once 4 of them are far enough apart it makes a phase shifted replicator in the middle that eventually destroys a third of the replicators' children. After that, it has 4 replicators on 4 corners of a rhombus, that do in fact behave as class Q, albeit on a slightly larger scale.
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.
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muzik
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Re: 2D Replicator Classes

Post by muzik »

Do these two class-U replicators follow an identical replication sequence? I'm finding it difficult to figure out.

Code: Select all

x = 5, y = 6, rule = B35a6ae78/S23
2bo$b3o$o3bo$obobo$bobo$2bo!

Code: Select all

x = 7, y = 7, rule = B2-ek/S
obo2$obo2$4bobo2$4bobo!
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wwei23

Re: 2D Replicator Classes

Post by wwei23 »

muzik wrote:Do these two class-U replicators follow an identical replication sequence? I'm finding it difficult to figure out.

Code: Select all

x = 5, y = 6, rule = B35a6ae78/S23
2bo$b3o$o3bo$obobo$bobo$2bo!

Code: Select all

x = 7, y = 7, rule = B2-ek/S
obo2$obo2$4bobo2$4bobo!
Nope.
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muzik
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Re: 2D Replicator Classes

Post by muzik »

We still have this class to name:

Code: Select all

x = 1, y = 1, rule = B1c/S04c
o!
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77topaz
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Re: 2D Replicator Classes

Post by 77topaz »

I think that would be another class U. :? It's clearly fractal-based, as can be seen most clearly at generations 2^n - 1 for integer n, but I don't think that fractal has a name.
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muzik
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Re: 2D Replicator Classes

Post by muzik »

5-way:

Code: Select all

x = 1, y = 1, rule = MAPPICAAIAAAAAEAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAAIAAAAgAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
A possible new class:

Code: Select all

x = 1, y = 1, rule = B13i/S
o!
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77topaz
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Re: 2D Replicator Classes

Post by 77topaz »

Ah, I suppose that five-way replicator sort of counts, though it's not a symmetrical pentagon. That other replicator seems like another class U (it's simulating a sort of a fractal, similar to but different from the Sierpinski carpet).
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KittyTac
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Re: 2D Replicator Classes

Post by KittyTac »

77topaz wrote:Ah, I suppose that five-way replicator sort of counts, though it's not a symmetrical pentagon. That other replicator seems like another class U (it's simulating a sort of a fractal, similar to but different from the Sierpinski carpet).
And that fractal also has an intricate pattern of lines going between the squares.
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muzik
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Re: 2D Replicator Classes

Post by muzik »

Code: Select all

x = 5, y = 2, rule = B2e3i4a6i/S1c2-an3i
o3bo$b3o!
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wwei23

Re: 2D Replicator Classes

Post by wwei23 »

Interesting, the only debris it leaves behind is a single tub in the middle. Other than that, it's completely clean.
PHPBB12345 wrote:

Code: Select all

x = 11, y = 11, rule = 23-e4in/3/4
4.3A$4.A.A$4.A.A$5.A$3A5.3A$A2.A3.A2.A$3A5.3A$5.A$4.A.A$4.A.A$4.3A!
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Rhombic
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Re: 2D Replicator Classes

Post by Rhombic »

Code: Select all

x = 7, y = 5, rule = B2ei3/S1e2
3bo$bo3bo2$o5bo$bobobo!
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77topaz
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Re: 2D Replicator Classes

Post by 77topaz »

That's a regular class S.
Hunting
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Re: 2D Replicator Classes

Post by Hunting »

I accidentally found this:

Code: Select all

x = 4, y = 4, rule = B3-n4a/S1e2-a3ijnr
bo$3o$2b2o$2bo!
The rule is a exploding rule...
Hunting
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Re: 2D Replicator Classes

Post by Hunting »

After some random works, I ended up with this Class F(?)

Code: Select all

x = 3, y = 3, rule = B3-n4a/S1e2-ak3ijnr
3o$obo$3o!
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muzik
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Re: 2D Replicator Classes

Post by muzik »

Code: Select all

x = 6, y = 6, rule = B2ci3aiy4ew5ce6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o3$3bobo!
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wildmyron
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Re: 2D Replicator Classes

Post by wildmyron »

muzik wrote:

Code: Select all

x = 6, y = 6, rule = B2ci3aiy4ew5ce6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o3$3bobo!
A mesmerising and beautiful pattern, and I love how it's almost a replicator made of spacefillers. I guess it's more class A than class D, though I find it a bit hard to distinguish those two.
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77topaz
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Re: 2D Replicator Classes

Post by 77topaz »

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".
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jimmyChen2013
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Re: 2D Replicator Classes

Post by jimmyChen2013 »

muzik wrote:

Code: Select all

x = 6, y = 6, rule = B2ci3aiy4ew5ce6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o3$3bobo!
similarly:

Code: Select all

x = 6, y = 6, rule = B2ci3aiy4ew5cei6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o3$3bobo!
ain't this more of a "explosion" rule than a actual replicator

10min later...
YAY!

Code: Select all

x = 6, y = 5, rule = B2ci3aiy4e5ce6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o2$3bobo!

Code: Select all

x = 8, y = 13, rule = B3aeij4cekrtz5cqry6-ai7/S2cn3-aqr4eiy5eijkq6-a7c8
2bo$b3o$5o$b5o$2b5o$3b5o$2b5o$b5o$5o$4o$3o$2o$o!

Code: Select all

x = 12, y = 12, rule = B2e3aijky4ajrt5ai6c7c8/S1c2-in3nr4actw5aejqr6cen7c8
2o$2o$obo$b2o6$8b2o$8bob2o$9b3o!
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KittyTac
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Re: 2D Replicator Classes

Post by KittyTac »

jimmyChen2013 wrote: 10min later...
YAY!

Code: Select all

x = 6, y = 5, rule = B2ci3aiy4e5ce6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o2$3bobo!
That's just a sawtooth. The number of replicator cores does not get larger.
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