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2D Replicator Classes

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Re: 2D Replicator Classes

Postby Redstoneboi » May 30th, 2018, 11:19 pm

trivial as can be
x = 1 y = 1 rule = B/S
b!
c(>^x^<c)~
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Re: 2D Replicator Classes

Postby 2718281828 » May 31st, 2018, 3:22 am

A 'mirrored' triangle:
x = 3, y = 5, rule = B2ce3ai5e6n/S1e2ace3-acjk4t
bo$bo3$3o!

something related:
x = 3, y = 5, rule = B2ce3ai5e6kn7c8/S1e2ace3-acjk4t
bo$bo3$3o!

This one is also interesing:
x = 3, y = 5, rule = B2ce3ai6i/S1e2ace3-acjk4t
bo$bo3$3o!
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Re: 2D Replicator Classes

Postby danny » June 12th, 2018, 8:25 pm

8 fold:
x = 3, y = 3, rule = B3ai4cej6ekn7c/S2-a3aeiny4-t5ijkr6-a7c8
bo$obo$bo!
get down with the sickness.
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Re: 2D Replicator Classes

Postby LaundryPizza03 » June 14th, 2018, 5:40 am

I don't recognize this class
x = 3, y = 4, rule = 23-e4in/3/4
3A$A.A$A.A$.A!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

LaundryPizza03 at Wikipedia
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Re: 2D Replicator Classes

Postby Redstoneboi » June 14th, 2018, 9:24 am

LaundryPizza03 wrote:I don't recognize this class
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...
c(>^x^<c)~
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Re: 2D Replicator Classes

Postby muzik » June 29th, 2018, 2:52 pm

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

Postby Redstoneboi » June 29th, 2018, 6:16 pm

muzik wrote:Class Q?
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(>^x^<c)~
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Re: 2D Replicator Classes

Postby muzik » June 30th, 2018, 2:27 pm

Do these two class-U replicators follow an identical replication sequence? I'm finding it difficult to figure out.
x = 5, y = 6, rule = B35a6ae78/S23
2bo$b3o$o3bo$obobo$bobo$2bo!


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

Postby wwei23 » June 30th, 2018, 3:28 pm

muzik wrote:Do these two class-U replicators follow an identical replication sequence? I'm finding it difficult to figure out.
x = 5, y = 6, rule = B35a6ae78/S23
2bo$b3o$o3bo$obobo$bobo$2bo!


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

Nope.
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Re: 2D Replicator Classes

Postby muzik » July 1st, 2018, 3:20 pm

We still have this class to name:
x = 1, y = 1, rule = B1c/S04c
o!
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Re: 2D Replicator Classes

Postby 77topaz » July 2nd, 2018, 6:45 pm

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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Re: 2D Replicator Classes

Postby muzik » July 17th, 2018, 11:55 am

5-way:
x = 1, y = 1, rule = MAPPICAAIAAAAAEAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAAIAAAAgAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!


A possible new class:
x = 1, y = 1, rule = B13i/S
o!
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Re: 2D Replicator Classes

Postby 77topaz » July 18th, 2018, 12:52 am

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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Re: 2D Replicator Classes

Postby KittyTac » July 19th, 2018, 11:03 am

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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Re: 2D Replicator Classes

Postby muzik » August 16th, 2018, 5:02 am

x = 5, y = 2, rule = B2e3i4a6i/S1c2-an3i
o3bo$b3o!
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Re: 2D Replicator Classes

Postby wwei23 » August 19th, 2018, 9:30 pm

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