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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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Location: Scotland

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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