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Replicators and other patterns that simulate even 1D rules

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Replicators and other patterns that simulate even 1D rules

Postby muzik » June 29th, 2018, 11:13 am

W0:
x = 1, y = 1, rule = B/S
o!


W2, W16:
x = 3, y = 2, rule = B2a3r/S
obo$o!


W4:
x = 1, y = 1, rule = B/S0
o!


W22:
x = 1, y = 2, rule = B2a3j5y6i/S1e2i3a
o$o!


W32:
x = 31, y = 2, rule = B4i/S
obobobobobobobobobobobobobobobo$obobobobobobobobobobobobobobobo!


W50:
x = 1, y = 2, rule = B2a4i/S
o$o!


W90:
x = 1, y = 2, rule = B2a/S
o$o!


W108:
x = 25, y = 2, rule = B4i/S1e3a
obo6bob3o6bobobo$obo6bob3o6bobobo!


W128:
x = 32, y = 1, rule = B/S2i
32o!


W150:
x = 1, y = 5, rule = B2a/S1e3eiy5i
o$o2$o$o!


W254:
x = 2, y = 1, rule = B1e2i/S1e2i
2o!


W1208925819614629174771760:
x = 1, y = 5, rule = B2ei3aein4e5e/S1e2aek3-cein4ikz
o$o$o$o$o!


Undetermined 1:
x = 1, y = 5, rule = B2ae3n6i/S1e2n3r
o$o2$o$o!


Undetermined:
x = 5, y = 4, rule = B3-e4ny56i7e/S2-ck3r4-nt5jq6
b3o$2ob2o$2ob2o$b3o!


Undetermined:
x = 3, y = 2, rule = B2a3j4i/S1e2k
3o$3o!
Last edited by muzik on June 29th, 2018, 7:38 pm, edited 3 times in total.
waiting for apgsearch to support one-dimensional rules
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Re: Replicators that simulate even 1D rules

Postby AforAmpere » June 29th, 2018, 2:55 pm

muzik wrote:W1839132(?):
x = 1, y = 5, rule = B2ei3aein4e5e/S1e2aek3-cein4ikz
o$o$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
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Re: Replicators that simulate even 1D rules

Postby AforAmpere » June 29th, 2018, 5:48 pm

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

@TABLE

n_states: 7
neighborhood:Moore
symmetries:none

0,6,0,0,0,0,0,0,0,6
0,0,6,0,0,0,0,0,0,6
0,0,0,0,0,0,0,0,6,6
0,6,6,0,0,0,0,0,0,5
0,6,6,0,0,0,0,0,6,1
0,6,0,0,0,0,0,0,6,5
0,6,5,0,0,0,0,0,0,4
0,6,0,0,0,0,0,0,5,4
0,6,4,0,0,0,0,0,0,5
0,6,0,0,0,0,0,0,4,5
0,5,0,0,0,0,0,0,6,2
0,5,6,0,0,0,0,0,0,2
0,2,0,0,0,0,0,0,4,6
0,2,4,0,0,0,0,0,0,6
0,4,2,0,0,0,0,0,6,3
0,4,6,0,0,0,0,0,2,3
0,5,0,0,0,0,0,0,3,2
0,5,3,0,0,0,0,0,0,2
0,6,4,0,0,0,0,0,6,1
0,6,6,0,0,0,0,0,4,1
0,4,2,0,0,0,0,0,0,1
0,4,0,0,0,0,0,0,2,1


@COLORS
1 255 0 0
2 170 85 0
3 127 127 0
4 0 170 85
5 85 0 170
6 170 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
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Re: Replicators and other patterns that simulate even 1D rules

Postby muzik » June 29th, 2018, 7:13 pm

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

18
36
54
72
76
94
104
122
126
waiting for apgsearch to support one-dimensional rules
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Re: Replicators and other patterns that simulate even 1D rules

Postby 2718281828 » June 29th, 2018, 9:35 pm

I am not sure, but this seems to be a 1D replicator:
x = 4, y = 5, rule = B2kn3aijn4acik8/S2n3-cek4aint5-aky67c8
b2o$3o$4o$3o$b2o!
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Re: Replicators and other patterns that simulate even 1D rules

Postby wwei23 » October 2nd, 2018, 11:13 am

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

Postby Redstoneboi » October 4th, 2018, 12:07 pm

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-aky67c8
b2o$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 woth emulated history in Moore neighborhood
@RULE SlantPinski
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
var a{0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
0,a,b,c,d,1,f,g,h,1
#C    R       L   C'
0,a,b,c,d,e,f,1,h,1
1,a,b,c,d,e,f,1,h,2
2,a,b,c,d,e,f,g,h,0
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.

There’s one problem,

Fluffy doesn’t exist :(
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Re: Replicators and other patterns that simulate even 1D rules

Postby PHPBB12345 » October 4th, 2018, 8:46 pm

Also undetermined:
x = 8, y = 4, rule = B2ek3aijkn4a5r/S1c2cei3ar4ar5i6ac
o$2o4b2o$2o4b2o$o!
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Re: Replicators and other patterns that simulate even 1D rules

Postby KittyTac » October 4th, 2018, 10:05 pm

What about using MAP strings for asymmetrical rules?
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