## Replicators and other patterns that simulate even 1D rules

For discussion of other cellular automata.

### Replicators and other patterns that simulate even 1D rules

W0:
`x = 1, y = 1, rule = B/So!`

W2, W16:
`x = 3, y = 2, rule = B2a3r/Sobo\$o!`

W4:
`x = 1, y = 1, rule = B/S0o!`

W22:
`x = 1, y = 2, rule = B2a3j5y6i/S1e2i3ao\$o!`

W32:
`x = 31, y = 2, rule = B4i/Sobobobobobobobobobobobobobobobo\$obobobobobobobobobobobobobobobo!`

W50:
`x = 1, y = 2, rule = B2a4i/So\$o!`

W90:
`x = 1, y = 2, rule = B2a/So\$o!`

W108:
`x = 25, y = 2, rule = B4i/S1e3aobo6bob3o6bobobo\$obo6bob3o6bobobo!`

W128:
`x = 32, y = 1, rule = B/S2i32o!`

W150:
`x = 1, y = 5, rule = B2a/S1e3eiy5io\$o2\$o\$o!`

W254:
`x = 2, y = 1, rule = B1e2i/S1e2i2o!`

W1208925819614629174771760:
`x = 1, y = 5, rule = B2ei3aein4e5e/S1e2aek3-cein4ikzo\$o\$o\$o\$o!`

Undetermined 1:
`x = 1, y = 5, rule = B2ae3n6i/S1e2n3ro\$o2\$o\$o!`

Undetermined:
`x = 5, y = 4, rule = B3-e4ny56i7e/S2-ck3r4-nt5jq6b3o\$2ob2o\$2ob2o\$b3o!`

Undetermined:
`x = 3, y = 2, rule = B2a3j4i/S1e2k3o\$3o!`
Last edited by muzik on June 29th, 2018, 7:38 pm, edited 3 times in total.
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: Replicators that simulate even 1D rules

muzik wrote:W1839132(?):
`x = 1, y = 5, rule = B2ei3aein4e5e/S1e2aek3-cein4ikzo\$o\$o\$o\$o!`

This seems to be W1208925819614629174771760, range 3, link to Wolfram. I may be wrong, though.
muzik wrote:Undetermined:

Both of the ones in undetermined don't really align well with Wolfram rules, because of period differences when replicating. I'll try to see if multiple on states will work.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 902
Joined: July 1st, 2016, 3:58 pm

### Re: Replicators that simulate even 1D rules

Can anyone convert this rule table into a Wolfram rule? It is 7 states and emulates the first of the undetermined rules above:
`@RULE Undetermined_1@TABLEn_states: 7neighborhood:Mooresymmetries:none0,6,0,0,0,0,0,0,0,60,0,6,0,0,0,0,0,0,60,0,0,0,0,0,0,0,6,60,6,6,0,0,0,0,0,0,50,6,6,0,0,0,0,0,6,10,6,0,0,0,0,0,0,6,50,6,5,0,0,0,0,0,0,40,6,0,0,0,0,0,0,5,40,6,4,0,0,0,0,0,0,50,6,0,0,0,0,0,0,4,50,5,0,0,0,0,0,0,6,20,5,6,0,0,0,0,0,0,20,2,0,0,0,0,0,0,4,60,2,4,0,0,0,0,0,0,60,4,2,0,0,0,0,0,6,30,4,6,0,0,0,0,0,2,30,5,0,0,0,0,0,0,3,20,5,3,0,0,0,0,0,0,20,6,4,0,0,0,0,0,6,10,6,6,0,0,0,0,0,4,10,4,2,0,0,0,0,0,0,10,4,0,0,0,0,0,0,2,1@COLORS1 255 0 02 170 85 03 127 127 04 0 170 855 85 0 1706 170 0 85`

The rulestring may end up extremely long, but there might be a lower state rule that emulates the replicating pattern somewhere.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 902
Joined: July 1st, 2016, 3:58 pm

### Re: Replicators and other patterns that simulate even 1D rules

As for symmetrical rules, here are the ones we're currently missing <128:

`183654727694104122126`
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: Replicators and other patterns that simulate even 1D rules

I am not sure, but this seems to be a 1D replicator:
`x = 4, y = 5, rule = B2kn3aijn4acik8/S2n3-cek4aint5-aky67c8b2o\$3o\$4o\$3o\$b2o!`

2718281828

Posts: 555
Joined: August 8th, 2017, 5:38 pm

### Re: Replicators and other patterns that simulate even 1D rules

As I understand the definition of a necropost, it's a post in a thread that hasn't had any posts in at least a year, or quotes a post from at least a year earlier. This thread has had activity in June.
The second unknown rule works via rule 8229, k=3.
http://www.wolframalpha.com/input/?i=rule+8229,+k%3D3
When two replicators in different states (off by 1 is the only one that ever occurs on its own), they annihilate. Otherwise, they leave a replicator in the middle, but one generation behind the replicators that created it. The result is almost the same as rule 8229, k=3. For 8229, k=3, just take the number of generations a replicator is lagging behind, modulo 2, and add 1. If there is no replicator present, then the value for that spot is 0.

wwei23

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

### Re: Replicators and other patterns that simulate even 1D rules

wwei23 wrote:As I understand the definition of a necropost, it's a post in a thread that hasn't had any posts in at least a year, or quotes a post from at least a year earlier. This thread has had activity in June.

Actually, a necropost is a post in a thread that’s considered inactive or dead that doesn’t add anything useful to the topic, so it’s okay to post in a very old thread so long as the post is appropriate and useful.

2718281828 wrote:I am not sure, but this seems to be a 1D replicator:
`x = 4, y = 5, rule = B2kn3aijn4acik8/S2n3-cek4aint5-aky67c8b2o\$3o\$4o\$3o\$b2o!`

seems to simulate a 3 state range 1 rule, i don’t know if it can be converted to range 2.
Here’s the rule with emulated history in Moore neighborhood
the history seems to be a slanted sierpinski triangle, hence the rule’s name.
`@RULE SlantPinski@TABLEn_states:3neighborhood:Mooresymmetries:nonevar a{0,1,2}var b=avar c=avar d=avar e=avar f=avar g=avar h=a0,a,b,c,d,1,f,g,h,1#C    R       L   C'0,a,b,c,d,e,f,1,h,11,a,b,c,d,e,f,1,h,22,a,b,c,d,e,f,g,h,0`
Last edited by Redstoneboi on October 28th, 2018, 1:42 am, edited 1 time in total.
c(>^x^<c)~
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Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.
Most of all, Fluffy knows Natsuki best girl.

Redstoneboi

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Joined: May 14th, 2018, 3:57 am

### Re: Replicators and other patterns that simulate even 1D rules

Also undetermined:
`x = 8, y = 4, rule = B2ek3aijkn4a5r/S1c2cei3ar4ar5i6aco\$2o4b2o\$2o4b2o\$o!`

PHPBB12345

Posts: 497
Joined: August 5th, 2015, 11:55 pm

### Re: Replicators and other patterns that simulate even 1D rules

What about using MAP strings for asymmetrical rules?

KittyTac

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

### Re: Replicators and other patterns that simulate even 1D rules

Close to Pascal modulo 4, but still unknown:

`x = 4, y = 3, rule = B2ei3-akny4acnqrw5aqy6aen/S1c2-ik3ack4cjknrw5acjk6c7b2o\$o2bo\$b2o!`
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: Replicators and other patterns that simulate even 1D rules

`x = 1, y = 2, rule = B2a3j4i/S1e3a4aro\$o!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3249
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Replicators and other patterns that simulate even 1D rules

`x = 1, y = 2, rule = B2ac4i5y/S2i4to\$o!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3249
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Replicators and other patterns that simulate even 1D rules

What rule would stand for this:
`x = 100, y = 1, rule = B1c/S:T100+1,148bo3bo!`
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

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### Re: Replicators and other patterns that simulate even 1D rules

Gamedziner wrote:What rule would stand for this:
`x = 100, y = 1, rule = B1c/S:T100+1,148bo3bo!`

Has a rule 90 replication habit.

wwei23

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Joined: May 22nd, 2017, 6:14 pm
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### Re: Replicators and other patterns that simulate even 1D rules

wwei23 wrote:
Gamedziner wrote:What rule would stand for this:
`x = 100, y = 1, rule = B1c/S:T100+1,148bo3bo!`

Has a rule 90 replication habit.

correction: rule 18 for range 1.
range 2 would be more accurate for this.
`x = 5, y = 1, rule = W18ob3o!`
c(>^x^<c)~
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.
Most of all, Fluffy knows Natsuki best girl.

Redstoneboi

Posts: 327
Joined: May 14th, 2018, 3:57 am