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A 'life-emerging' INT rule?

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A 'life-emerging' INT rule?

Posted: July 14th, 2026, 3:02 am
by Ohhhhhhhhh
I was wondering if there is a rule in which the small ships and stable splitters/reflectors/... are common enough to allow soupfind give engineered puffers, rakes, ships, even replicators, etc. These are normally, or as far as what we have seen, only manually created or spawned. And as the name suggests, to maintain symmetry and be not too complex, the rule is best to be Isotropic Non-Totalistic (I don't think Outer-Totalistic rules can be life-emerging anyway).
Note: the rule obviously have to be non-explosive to have these objects spawn from random soups.

Edit 1: to be precise, such a rule should have naturally generating objects that are kind of pathological, similar to an engineered orthogonoid in certain engineerable rules. It is expected that running an enormous-sized soup with the rule will eventually give patterns that exhibit intellectual behaviour, or at least form competitions between different engineered replicators.

Re: A 'life-emerging' INT rule?

Posted: July 14th, 2026, 5:00 am
by NNlk05
Ohhhhhhhhh wrote: July 14th, 2026, 3:02 am I was wondering if there is a rule in which the small ships and stable splitters/reflectors/... are common enough to allow soupfind give engineered puffers, rakes, ships, even replicators, etc. These are normally, or as far as what we have seen, only manually created or spawned. And as the name suggests, to maintain symmetry and be not too complex, the rule is best to be Isotropic Non-Totalistic (I don't think Outer-Totalistic rules can be life-emerging anyway).
Note: the rule obviously have to be non-explosive to have these objects spawn from random soups.
Theres plenty of examples of rule with small reflectors/splitters, I can name more on request but my recent favorite is T’n’T.
But,by the very definition of “engineered” mead that something is created instead of emerging out of soups.
Can this be merged into Basic non-CGoL questions?

Re: A 'life-emerging' INT rule?

Posted: July 14th, 2026, 10:08 am
by speedydelete
NNlk05 wrote: July 14th, 2026, 5:00 am
Ohhhhhhhhh wrote: July 14th, 2026, 3:02 am I was wondering if there is a rule in which the small ships and stable splitters/reflectors/... are common enough to allow soupfind give engineered puffers, rakes, ships, even replicators, etc. These are normally, or as far as what we have seen, only manually created or spawned. And as the name suggests, to maintain symmetry and be not too complex, the rule is best to be Isotropic Non-Totalistic (I don't think Outer-Totalistic rules can be life-emerging anyway).
Note: the rule obviously have to be non-explosive to have these objects spawn from random soups.
Theres plenty of examples of rule with small reflectors/splitters, I can name more on request but my recent favorite is T’n’T.
But,by the very definition of “engineered” mead that something is created instead of emerging out of soups.
Can this be merged into Basic non-CGoL questions?
This is very interesting, in my opinion. The "Sticky" multistate rule is explosive due to ad-hoc natural universal constructors. I do not know of an INT rule that is even better for such a thing, I suspect a nerfed version of Sticky or a completely new rule would work well.

Re: A 'life-emerging' INT rule?

Posted: July 14th, 2026, 10:23 am
by NNlk05
speedydelete wrote: July 14th, 2026, 10:08 am I suspect a nerfed version of Sticky or a completely new rule would work well.
Gooey has 3 states, which is better then 4.

Re: A 'life-emerging' INT rule?

Posted: July 15th, 2026, 3:27 am
by islptng
Reminds me this rule I made a long time ago:
islptng wrote: December 2nd, 2024, 9:45 pm Sorry about doubleposting, but it's not related:

In this rule, soup lasts very long.

Code: Select all

#R PhotonsAdjustables
! [[ RANDOMIZE RANDWIDTH 216 RANDHEIGHT 216 ]]
EDIT:

Code: Select all

x = 34, y = 77, rule = PhotonsAdjustables
25.2C2$25.A$25.B6$8.C12.C$8.C3.BA7.2C2$22.C$25.2C$C12.C11.C$C2.BA8.2C
3$10.C.C$9.2C8$19.2C8.BA2.C$10.A9.C12.C$10.B3$9.2C13$23.C$16.C.C$23.C
$9.C.C2$5.C.C$12.C3$9.C.C5$11.C.C$19.C$9.C$6.C7.C7.C$16.C.C$6.C15.C6.
C.C3$25.C$11.C.C$25.C4.C2$30.C4$7.2C4.AB9.C$8.C15.C!
This has 4 states, but it has more potential. But I also don't know how to tweak it...

Re: A 'life-emerging' INT rule?

Posted: July 15th, 2026, 11:20 am
by Ohhhhhhhhh
NNlk05 wrote: July 14th, 2026, 5:00 am
Ohhhhhhhhh wrote: July 14th, 2026, 3:02 am I was wondering if there is a rule in which the small ships and stable splitters/reflectors/... are common enough to allow soupfind give engineered puffers, rakes, ships, even replicators, etc. These are normally, or as far as what we have seen, only manually created or spawned. And as the name suggests, to maintain symmetry and be not too complex, the rule is best to be Isotropic Non-Totalistic (I don't think Outer-Totalistic rules can be life-emerging anyway).
Note: the rule obviously have to be non-explosive to have these objects spawn from random soups.
Theres plenty of examples of rule with small reflectors/splitters, I can name more on request but my recent favorite is T’n’T.
But,by the very definition of “engineered” mead that something is created instead of emerging out of soups.
Can this be merged into Basic non-CGoL questions?
Regarding the definition of engineered, I do agree with you and I have mistakenly conveyed my meaning. What I actually mean is that, such a rule can form patterns that look pathological or are highly structured, much like engineered orthogonoids or similar stuff. I'm actually expecting such a rule to have similar behaviours as evolution on Earth, where patterns that replicate form highly developed rules and even start to compete with each other?
I may consider doing so but since such a rule would have a gigantic potential in becoming its own thread (if we actually golfed it!), I will post the same thing on Basic non-CGoL questions and see if someone passing by is interested.

Re: A 'life-emerging' INT rule?

Posted: July 15th, 2026, 11:25 am
by TheWayOfTheCon
Ohhhhhhhhh wrote: July 15th, 2026, 11:20 am ... I'm actually expecting such a rule to have similar behaviours as evolution on Earth, where patterns that replicate form highly developed rules and even start to compete with each other? ...
To simulate that you would need much more than just a bunch of black and white cells living and dying based off of their neighbors. A complex multi-state custom rule at least.

Re: A 'life-emerging' INT rule?

Posted: July 15th, 2026, 11:42 am
by Ohhhhhhhhh
islptng wrote: July 15th, 2026, 3:27 am Reminds me this rule I made a long time ago:
islptng wrote: December 2nd, 2024, 9:45 pm Sorry about doubleposting, but it's not related:

In this rule, soup lasts very long.

Code: Select all

#R PhotonsAdjustables
! [[ RANDOMIZE RANDWIDTH 216 RANDHEIGHT 216 ]]
EDIT:

Code: Select all

x = 34, y = 77, rule = PhotonsAdjustables
25.2C2$25.A$25.B6$8.C12.C$8.C3.BA7.2C2$22.C$25.2C$C12.C11.C$C2.BA8.2C
3$10.C.C$9.2C8$19.2C8.BA2.C$10.A9.C12.C$10.B3$9.2C13$23.C$16.C.C$23.C
$9.C.C2$5.C.C$12.C3$9.C.C5$11.C.C$19.C$9.C$6.C7.C7.C$16.C.C$6.C15.C6.
C.C3$25.C$11.C.C$25.C4.C2$30.C4$7.2C4.AB9.C$8.C15.C!
This has 4 states, but it has more potential. But I also don't know how to tweak it...
I don't really think we are in lack of a rule with stable splitter or common ships. The thing here is that we need a very simple construction recipe to make a still life from some ships in a soup, which is the essence of an orthogonoid or something. And then there is the question of how we can get ships running on the same row or column. I may have to start working on it for a while before I can convince some others to join.

Re: A 'life-emerging' INT rule?

Posted: July 15th, 2026, 11:46 am
by Ohhhhhhhhh
TheWayOfTheCon wrote: July 15th, 2026, 11:25 am
Ohhhhhhhhh wrote: July 15th, 2026, 11:20 am ... I'm actually expecting such a rule to have similar behaviours as evolution on Earth, where patterns that replicate form highly developed rules and even start to compete with each other? ...
To simulate that you would need much more than just a bunch of black and white cells living and dying based off of their neighbors. A complex multi-state custom rule at least.
That's true, but we haven't enumerated every single INT rule yet, so I still have a bit of confidence in this design. And I'm not saying we must achieve that level anyway, the INT rule expectation is simply to address the fact that custom rules are too direct on golfing or engineering.

Re: A 'life-emerging' INT rule?

Posted: July 15th, 2026, 11:56 am
by WhiteHawk
Ohhhhhhhhh wrote: July 15th, 2026, 11:46 am
TheWayOfTheCon wrote: July 15th, 2026, 11:25 am
Ohhhhhhhhh wrote: July 15th, 2026, 11:20 am ... I'm actually expecting such a rule to have similar behaviours as evolution on Earth, where patterns that replicate form highly developed rules and even start to compete with each other? ...
To simulate that you would need much more than just a bunch of black and white cells living and dying based off of their neighbors. A complex multi-state custom rule at least.
That's true, but we haven't enumerated every single INT rule yet, so I still have a bit of confidence in this design. And I'm not saying we must achieve that level anyway, the INT rule expectation is simply to address the fact that custom rules are too direct on golfing or engineering.
Please note forum rule 3a

Re: A 'life-emerging' INT rule?

Posted: July 15th, 2026, 12:05 pm
by Ohhhhhhhhh
WhiteHawk wrote: July 15th, 2026, 11:56 am
Ohhhhhhhhh wrote: July 15th, 2026, 11:46 am
TheWayOfTheCon wrote: July 15th, 2026, 11:25 am

To simulate that you would need much more than just a bunch of black and white cells living and dying based off of their neighbors. A complex multi-state custom rule at least.
That's true, but we haven't enumerated every single INT rule yet, so I still have a bit of confidence in this design. And I'm not saying we must achieve that level anyway, the INT rule expectation is simply to address the fact that custom rules are too direct on golfing or engineering.
Please note forum rule 3a
I am replying to different users in words only, so maybe addressing different persons in seperate posts is better? And only 2 posts consecutively in this case, which does not quite align with the term 'multiple'. I do admit I have to do more work and will not spam here anyway. Thanks for your reminder though.
Or should I also add this as an edit to my previous post??

Re: A 'life-emerging' INT rule?

Posted: July 16th, 2026, 6:16 pm
by R2INT
Here are my thoughts:
Most engineered patterns use a single-channel recipe of spaceships interacting with a hand object to produce interesting behaviors. For example:

Code: Select all

x = 43, y = 41, rule = B2cik3-cijn4cknqr5-anqy6ekn7/S1c2acn3-aijq4cjktw5ejny6aen7c8
bo19bo18bo$obo17bobo16bobo$bo19bo18bo2$2bo19bo18bo$b3o17b3o16b3o6$bob
o$b3o18bo18bo$21b3o16b3o7$22bo$21b3o$bobo$b3o6$bobo$b3o2$41bo$40b3o6$
2bo$b3o!
However, the main problem encountered is: how do you store these recipes? The simplest way I can think of is to use a reflector loop:

Code: Select all

x = 18, y = 17, rule = B2cik3-cijn4cknqr5-anqy6ekn7/S1c2acn3-aijq4cjktw5ejny6aen7c8
bo7b2o4bo$obo6bo4bobo$bo7b2o4bo3$14b3o$14bobo4$bo$bo$3o2$bo6b2o3b5o$o
bo6bo3bo3bo$bo6b2o5bo!
However, reflector loops are a very rare formation. To resolve the problem, we need to make a small pattern evolve into the reflector loop to make sufficiently common:

Code: Select all

x = 49, y = 17, rule = B2cik3-cijn4cknqr5-anqy6ekn7/S1c2acn3-aijq4cjktw5ejny6aen7c8
33bo13bo$32bobo11bobo$33bo13bo3$16bo$17bo$bo16bo$3o9b8o$bo16bo$17bo$16b
o3$33bo13bo$32bobo11bobo$33bo13bo!
The next challenge in storage is: how do you naturally insert recipes into the loop? To do that, you need an inserter reaction, which requires placing still lives next to the reflector loop, sort of like this:

Code: Select all

x = 37, y = 37, rule = B2cik3-cijn4cknqr5-anqy6ekn7/S1c2acn3-aijq4cjktw5ejny6aen7c8
14bo7bo$13bobo5bobo$14bo7bo4$7bo21bo$6bobo19bobo$7bo21bo5$bo33bo$obo31b
obo$bo33bo6$bo33bo$obo31bobo$bo33bo5$7bo21bo$6bobo19bobo$7bo21bo4$14b
o7bo$13bobo5bobo$14bo7bo!
This solves the problem of needing to place a reflector loop.

Now, we need to make recipes. This requires target objects to be scattered in the soup, presumably at a sufficiently low density to avoid too many interactions. We also need the recipes to be as short as possible, which requires an oscillator (preferably a small, symmetric one) to be the target so that we have as few complicated recipes as possible.

I'll see what I can come up with in RuleEngineers.

EDIT: Here's a quick prototype:

Code: Select all

x = 43, y = 24, rule = LifeEmergingTest01
18.BA2$21.A$21.B$40.C5$40.A$40.B4$41.A$41.B$BA2$25.C$24.C.C3$42.A$42.
B!
@RULE LifeEmergingTest01
@NAMES
0 off
1 photon
2 target
3 split
4 insert
@COLORS
0 0,0,0
1 0,255,255
2 0,0,255
3 255,255,255
4 255,0,160
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,1,0,0,0 1
0 0,0,0,4,1,0,0,0 3
0 0,0,0,3,2,0,0,0 2
0 0,0,0,1,3,0,0,0 3
0 0,0,0,2,3,0,0,0 1
0 0,0,0,1,4,0,0,0 2
0 0,0,0,2,1,1,0,0 3
0 0,0,0,3,0,3,0,0 3
0 0,0,0,3,4,3,0,0 4
0 0,0,0,4,2,4,0,0 2
0 0,0,1,1,2,0,0,0 2
0 0,0,1,0,3,0,0,0 1
0 0,0,1,0,4,0,0,0 1
0 0,0,1,0,0,1,0,0 1
0 0,0,1,0,0,3,0,0 1
0 0,0,1,0,0,4,0,0 1
0 0,0,2,2,2,0,0,0 4
0 0,0,2,2,4,0,0,0 4
0 0,0,2,1,1,2,0,0 3
0 0,0,3,0,3,0,0,0 3
0 0,0,3,3,3,0,0,0 3
0 0,0,3,0,0,3,0,0 2
1 0,0,0,0,0,0,0,0 2
1 0,0,0,1,0,0,0,0 2
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,2,0,0,0 2
1 0,0,0,0,3,0,0,0 2
1 0,0,0,1,2,1,0,0 2
1 0,0,1,0,2,0,0,0 3
1 0,0,2,0,1,1,0,0 2
1 0,0,2,0,0,4,0,0 2
2 0,0,0,2,2,2,0,0 2
2 0,0,1,0,0,2,0,0 4
2 0,0,3,0,2,2,0,0 2
3 0,0,0,0,0,0,0,0 3
3 0,0,0,1,0,0,0,0 3
3 0,0,0,3,0,0,0,0 3
3 0,0,0,0,1,0,0,0 3
3 0,0,0,0,2,0,0,0 3
3 0,0,0,2,2,0,0,0 3
3 0,0,0,0,3,0,0,0 2
3 0,0,0,4,3,0,0,0 2
3 0,0,0,3,0,3,0,0 3
3 0,0,3,3,3,0,0,0 3
4 0,0,0,0,0,0,0,0 4
4 0,0,0,1,0,0,0,0 4
4 0,0,0,0,1,0,0,0 4
4 0,0,0,2,1,0,0,0 4
4 0,0,0,0,2,0,0,0 2
0 0,0,3,0,0,0,1,0 2
0 0,0,4,0,0,0,1,0 1
3 0,0,1,0,0,0,1,0 3
3 0,0,2,0,0,0,2,0 3
4 0,0,2,0,0,0,2,0 4
0 0,0,3,0,3,0,3,0 3
3 0,0,3,0,2,0,3,0 3
3 0,0,3,0,3,0,3,0 3
4 0,0,3,4,0,4,3,0 2
2 0,0,4,2,0,2,4,0 2
0 0,1,0,0,0,1,0,0 1
1 0,1,0,1,0,0,2,0 2
0 0,2,2,0,2,2,0,0 3
1 0,2,1,0,1,2,0,0 2
2 0,2,0,2,0,0,1,0 4
2 0,2,0,2,0,0,2,0 4
2 0,2,4,2,0,0,4,0 1
0 0,3,0,3,0,3,0,0 4
0 0,3,1,0,1,3,0,0 2
3 0,3,3,0,4,0,3,0 3
0 1,0,1,0,1,0,1,0 2
0 1,0,3,0,3,0,3,0 4
0 1,0,4,0,1,0,3,0 4
0 3,0,3,0,3,0,3,0 4
0 4,0,4,3,4,0,4,0 4
3 4,0,4,0,4,0,4,0 4
4 0,1,0,1,0,1,0,1 3
0 0,2,0,2,0,2,0,2 3
0 0,3,0,4,0,3,0,3 1
0 4,3,4,3,4,3,4,3 4
var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
Unfortuantely, there are too many state 3 dots in this rule, resulting in the constellation being unable to fully form. I'll try another version with the dots replcaed with rarer still lives.

EDIT2: New version with:
  1. Larger still lives, so they occur naturally less frequently
  2. A 2-photon synthesis of a spark designed to destroy excess photons

Code: Select all

x = 73, y = 77, rule = LifeEmergingTest01
57.C$57.D$57.C2$43.B$42.BAB$43.B4$43.A$43.B3$43.A$43.B22$57.B$57.A2$44.
C3.C3.C3.C3.C3.C$44.D3.D3.D3.D3.D3.D$44.C3.C3.C3.C3.C3.C$40.B27.B$39.
BAB25.BAB$40.B27.B3$36.CDC31.CDC4$36.CDC31.CDC4$36.CDC31.CDC4$36.CDC31.
CDC2$.B$2B$.B34.CDC31.CDC4$36.CDC31.CDC3$40.B27.B$39.BAB25.BAB$40.B27.
B$44.C3.C3.C3.C3.C3.C$44.D3.D3.D3.D3.D3.D$44.C3.C3.C3.C3.C3.C!
@RULE LifeEmergingTest01
@NAMES
0 off
1 photon
2 target
3 split
4 insert
@COLORS
0 0,0,0
1 0,255,255
2 0,0,255
3 255,255,255
4 255,0,160
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
#P "Photon" (1, AB!)
0 0,0,0,0,1,0,0,0 1
1 0,0,0,0,2,0,0,0 2
#P "Splitter" (7, .B.$BAB$.B.$3.$3.$.A.$.B.!)
2 0,0,0,2,1,2,0,0 2
1 2,0,2,0,2,0,2,0 1
0 0,0,2,0,0,0,1,0 3
3 0,0,2,0,0,0,2,0 2
2 0,2,1,2,0,0,3,0 3
2 0,0,0,3,1,2,0,0 1
3 0,2,1,2,0,0,2,0 2
1 2,0,2,0,3,0,2,0 1
1 0,0,0,2,1,2,0,0 2
2 0,0,0,1,1,1,0,0 2
1 1,0,2,0,1,0,2,0 1
2 0,2,1,2,0,0,1,0 2
2 0,2,1,2,0,0,2,0 2
#P "Deexplode 1" (2, A!)
1 0,0,0,0,0,0,0,0 2
1 0,0,0,1,2,1,0,0 2
#P "Deexplode 2" (2, A.$.A!)
1 0,0,0,1,0,0,0,0 2
1 0,0,0,1,2,0,0,0 2
#P "Inserter" (6, 3.CDC$BA4.!)
0 0,0,1,0,0,3,0,0 1
3 0,0,0,0,4,0,0,0 3
4 0,0,3,0,0,0,3,0 4
0 0,0,1,0,3,4,0,0 1
1 0,0,2,0,0,3,0,0 2
3 0,0,4,0,0,1,0,0 3
0 0,0,1,3,4,3,0,0 1
1 0,0,2,0,3,4,0,0 2
3 0,0,4,0,1,2,0,0 1
4 0,0,3,1,0,0,3,0 3
0 0,0,0,3,3,0,0,0 1
0 0,0,0,3,3,1,0,0 2
0 0,0,1,3,3,0,0,0 2
3 0,0,0,1,3,0,0,0 4
3 0,0,3,0,1,2,1,0 2
0 0,0,0,4,2,0,0,0 3
0 0,0,0,2,4,1,0,0 4
1 0,0,2,2,4,0,0,0 2
2 0,0,0,2,4,0,0,0 2
0 0,0,0,4,0,0,0,0 2
0 0,0,0,3,4,0,0,0 1
#P "Eater" (0, BA2.CDC!)
#P "Passerby" (0, 4.B$4.A$5.$CDC2.!)
#P "Failedrep" (50, B.$2B$B.!)
0 0,0,0,2,2,2,0,0 2
0 0,0,2,2,2,0,0,0 2
2 0,0,0,2,2,0,0,0 2
2 0,0,0,2,2,2,0,0 2
2 0,0,2,0,2,0,2,0 2
2 0,0,2,2,2,0,0,0 2
2 0,0,0,2,0,2,0,0 2
0 0,0,2,2,0,0,2,0 2
0 0,0,2,0,2,0,2,0 2
2 0,0,2,0,0,0,2,0 2
0 0,0,2,0,2,2,0,0 2
2 0,2,0,2,0,0,2,0 2
2 0,0,2,0,2,0,0,0 2
2 0,0,2,2,0,2,2,0 2
2 0,0,2,0,0,2,0,0 4
0 0,0,4,0,4,0,0,0 2
4 0,2,2,2,0,4,0,0 2
0 0,2,2,2,0,2,2,2 1
1 0,2,2,2,0,2,2,2 1
0 0,0,0,1,2,1,0,0 1
2 0,0,2,0,4,0,2,0 1
0 1,0,1,0,1,0,1,0 1
1 0,1,0,1,2,1,0,1 2
0 0,0,2,2,2,1,0,0 2
0 0,1,2,2,2,1,0,0 2
2 0,2,2,2,0,0,1,0 2
3 0,0,0,3,1,3,0,0 2
1 3,0,3,0,3,0,3,0 1
2 2,0,2,2,2,0,2,0 1
1 0,1,0,1,0,1,2,0 1
2 0,1,0,4,2,4,0,1 1
0 0,0,1,0,2,2,0,0 2
1 0,0,0,2,0,0,0,0 2
1 0,0,0,2,1,0,0,0 2
2 0,0,2,0,0,1,0,0 1
0 0,2,0,2,0,2,1,0 2
0 0,0,1,2,2,0,0,0 3
0 0,0,3,0,2,1,0,0 3
2 0,0,0,1,2,1,0,0 1
0 0,0,0,2,4,0,0,0 1
0 0,0,0,3,1,3,0,0 3
0 0,0,2,0,0,3,0,0 3
1 0,0,3,0,0,0,3,0 4
0 0,0,2,2,3,0,0,0 4
2 0,2,0,0,2,3,0,0 3
4 0,2,2,2,0,3,0,0 4
3 0,2,0,3,0,0,4,0 3
0 0,4,3,0,3,4,0,0 2
3 0,0,0,3,2,1,0,0 2
0 0,0,4,0,0,0,2,0 3
1 0,1,2,3,0,0,2,0 2
2 1,0,3,0,3,0,1,0 1
2 0,0,2,0,2,3,0,0 3
#P "Deexplode 3" (7, 3B.3B$B.B.B.B$3B.3B!)
0 1,0,2,0,2,0,2,0 2
0 0,0,1,0,0,0,1,0 4
0 2,2,2,2,2,2,2,0 1
2 0,2,2,1,2,2,0,0 3
#P "Synth 1" (3, BA.AB!)
4 0,0,2,0,0,0,2,0 4
0 0,0,3,0,4,0,3,0 2
4 0,3,0,3,0,3,0,3 2
#P "norake" (2, A.A!)
1 0,0,0,4,2,1,0,0 2
#P "Destroying spark" (11, 4.B$4.A$5.$BA3.!)
0 0,0,1,0,0,1,0,0 2
0 0,1,0,0,1,2,0,0 2
1 0,0,2,2,2,0,0,0 2
2 0,0,1,2,2,0,0,0 2
2 0,0,2,1,2,2,0,0 2
2 0,0,2,0,2,2,1,0 2
4 0,0,4,0,0,2,0,0 2
0 2,0,4,4,0,4,4,0 2
0 0,0,2,2,2,2,0,0 2
#P "Disable 4 photons" (1, AC!)
1 0,0,0,0,3,0,0,0 2
## Optional transitions (press Ctrl+M to remove)
1 0,0,0,3,2,1,0,0 2
2 0,0,1,0,0,3,0,0 2
2 0,0,2,2,1,2,0,0 2
2 0,0,2,2,0,3,0,0 2
2 0,0,2,2,0,0,2,0 2
0 0,2,2,2,2,2,0,0 2
0 0,2,2,2,0,3,0,0 3
4 0,2,2,0,0,4,0,0 2
1 2,0,2,2,2,0,2,0 1
var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

Re: A 'life-emerging' INT rule?

Posted: July 16th, 2026, 10:11 pm
by NNlk05
Another approach is to have a rep (kind of, its closer to a linear propagator) so simple it can emerge from a soup.

Re: A 'life-emerging' INT rule?

Posted: July 17th, 2026, 12:43 pm
by R2INT
More work on the prototype:

Code: Select all

x = 122, y = 84, rule = LifeEmergingTest03
77.C$77.D$77.C2$63.B$62.BAB$63.B4$63.A$63.B3$63.A$63.B5$95.2B9.2B11.3B
$95.2B9.2B11.2B$120.B3$96.A12.A$96.B12.B3$120.A$120.B3$57.2B31.2B$57.
2B31.2B3$58.2B17.B11.2B$58.2B17.A11.2B2$64.C3.C3.C3.C3.C3.C$49.2B13.D
3.D3.D3.D3.D3.D13.2B$49.2B2.2B9.C3.C3.C3.C3.C3.C9.2B2.2B$53.2B5.B27.B
5.2B$59.BAB25.BAB$60.B27.B3$56.CDC31.CDC$66.B15.B$65.BAB13.BAB$66.B15.
B$56.CDC31.CDC3$71.2B3.2B$56.CDC12.2B3.2B12.CDC$74.B$73.BAB$74.B$56.C
DC12.2B3.2B12.CDC$.B69.2B3.2B$2B$.B$56.CDC31.CDC$66.B15.B$65.BAB13.BA
B$66.B15.B$56.CDC31.CDC3$60.B27.B$59.BAB25.BAB$53.2B5.B27.B5.2B$49.2B
2.2B9.C3.C3.C3.C3.C3.C9.2B2.2B$49.2B13.D3.D3.D3.D3.D3.D13.2B$64.C3.C3.
C3.C3.C3.C2$58.2B29.2B$58.2B29.2B3$57.2B31.2B$57.2B31.2B!
@RULE LifeEmergingTest03
@NAMES
0 off
1 photon
2 target
3 split
4 insert
@COLORS
0 0,0,0
1 0,255,255
2 0,0,255
3 255,255,255
4 255,0,160
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,0,0,0 0
0 0,0,0,4,0,0,0,0 2
0 0,0,0,0,1,0,0,0 1
0 0,0,0,4,2,0,0,0 3
0 0,0,0,3,3,0,0,0 1
0 0,0,0,2,4,0,0,0 1
0 0,0,0,3,4,0,0,0 1
0 0,0,0,1,2,1,0,0 1
0 0,0,0,3,3,1,0,0 2
0 0,0,0,2,4,1,0,0 4
0 0,0,0,2,2,2,0,0 2
0 0,0,0,4,2,2,0,0 2
0 0,0,0,3,4,2,0,0 4
0 0,0,0,3,1,3,0,0 3
0 0,0,0,3,2,3,0,0 2
0 0,0,0,3,3,3,0,0 3
0 0,0,0,4,4,3,0,0 2
0 0,0,0,4,3,4,0,0 2
0 0,0,1,2,2,0,0,0 3
0 0,0,1,2,3,0,0,0 4
0 0,0,1,3,3,0,0,0 2
0 0,0,1,0,0,1,0,0 2
0 0,0,1,0,2,2,0,0 2
0 0,0,1,0,0,3,0,0 1
0 0,0,1,3,4,3,0,0 1
0 0,0,1,0,3,4,0,0 1
0 0,0,2,2,2,0,0,0 2
0 0,0,2,2,3,0,0,0 4
0 0,0,2,1,4,0,0,0 2
0 0,0,2,1,0,1,0,0 2
0 0,0,2,2,0,1,0,0 3
0 0,0,2,2,2,1,0,0 2
0 0,0,2,0,1,2,0,0 2
0 0,0,2,0,2,2,0,0 2
0 0,0,2,2,2,2,0,0 2
0 0,0,2,0,0,3,0,0 3
0 0,0,2,2,0,3,0,0 1
0 0,0,2,0,3,3,0,0 2
0 0,0,2,2,3,3,0,0 2
0 0,0,2,2,2,4,0,0 3
0 0,0,3,3,3,0,0,0 3
0 0,0,3,0,2,1,0,0 3
0 0,0,3,0,1,2,0,0 4
0 0,0,3,2,3,2,0,0 2
0 0,0,4,0,4,0,0,0 2
1 0,0,0,0,0,0,0,0 2
1 0,0,0,1,0,0,0,0 2
1 0,0,0,2,0,0,0,0 2
1 0,0,0,3,0,0,0,0 2
1 0,0,0,4,0,0,0,0 2
1 0,0,0,0,1,0,0,0 2
1 0,0,0,1,1,0,0,0 2
1 0,0,0,2,1,0,0,0 2
1 0,0,0,3,1,0,0,0 2
1 0,0,0,4,1,0,0,0 2
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,2,0,0,0 2
1 0,0,0,2,2,0,0,0 2
1 0,0,0,3,2,0,0,0 2
1 0,0,0,4,2,0,0,0 2
1 0,0,0,0,3,0,0,0 2
1 0,0,0,1,3,0,0,0 2
1 0,0,0,2,3,0,0,0 2
1 0,0,0,3,3,0,0,0 2
1 0,0,0,4,3,0,0,0 2
1 0,0,0,0,4,0,0,0 2
1 0,0,0,1,4,0,0,0 2
1 0,0,0,2,4,0,0,0 2
1 0,0,0,3,4,0,0,0 2
1 0,0,0,4,4,0,0,0 2
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,0,1,0,0 2
1 0,0,0,3,0,1,0,0 2
1 0,0,0,4,0,1,0,0 2
1 0,0,0,1,1,1,0,0 2
1 0,0,0,2,1,1,0,0 2
1 0,0,0,3,1,1,0,0 2
1 0,0,0,4,1,1,0,0 2
1 0,0,0,1,2,1,0,0 2
1 0,0,0,2,2,1,0,0 2
1 0,0,0,3,2,1,0,0 2
1 0,0,0,4,2,1,0,0 2
1 0,0,0,1,3,1,0,0 2
1 0,0,0,2,3,1,0,0 2
1 0,0,0,3,3,1,0,0 2
1 0,0,0,4,3,1,0,0 2
1 0,0,0,1,4,1,0,0 2
1 0,0,0,2,4,1,0,0 2
1 0,0,0,3,4,1,0,0 2
1 0,0,0,4,4,1,0,0 2
1 0,0,0,3,0,2,0,0 2
1 0,0,0,4,0,2,0,0 2
1 0,0,0,2,1,2,0,0 2
1 0,0,0,3,1,2,0,0 2
1 0,0,0,4,1,2,0,0 2
1 0,0,0,2,2,2,0,0 2
1 0,0,0,3,2,2,0,0 2
1 0,0,0,4,2,2,0,0 2
1 0,0,0,2,3,2,0,0 2
1 0,0,0,3,3,2,0,0 2
1 0,0,0,4,3,2,0,0 2
1 0,0,0,2,4,2,0,0 2
1 0,0,0,3,4,2,0,0 2
1 0,0,0,4,4,2,0,0 2
1 0,0,0,3,0,3,0,0 2
1 0,0,0,4,0,3,0,0 2
1 0,0,0,3,1,3,0,0 2
1 0,0,0,4,1,3,0,0 2
1 0,0,0,3,2,3,0,0 2
1 0,0,0,4,2,3,0,0 2
1 0,0,0,3,3,3,0,0 2
1 0,0,0,4,3,3,0,0 2
1 0,0,0,3,4,3,0,0 2
1 0,0,0,4,4,3,0,0 2
1 0,0,0,4,0,4,0,0 2
1 0,0,0,4,1,4,0,0 2
1 0,0,0,4,2,4,0,0 2
1 0,0,0,4,3,4,0,0 2
1 0,0,0,4,4,4,0,0 2
1 0,0,1,2,0,1,0,0 3
1 0,0,2,2,2,0,0,0 2
1 0,0,2,0,3,0,0,0 1
1 0,0,2,2,4,0,0,0 2
1 0,0,2,0,0,2,0,0 2
1 0,0,2,0,0,3,0,0 2
1 0,0,2,0,3,4,0,0 2
1 0,0,2,4,3,4,0,0 2
2 0,0,0,3,0,0,0,0 3
2 0,0,0,3,1,0,0,0 3
2 0,0,0,2,2,0,0,0 2
2 0,0,0,2,4,0,0,0 2
2 0,0,0,4,0,1,0,0 2
2 0,0,0,1,1,1,0,0 2
2 0,0,0,1,2,1,0,0 1
2 0,0,0,2,0,2,0,0 2
2 0,0,0,4,0,2,0,0 2
2 0,0,0,2,1,2,0,0 2
2 0,0,0,3,1,2,0,0 1
2 0,0,0,2,2,2,0,0 2
2 0,0,0,4,2,2,0,0 2
2 0,0,0,3,0,3,0,0 2
2 0,0,0,3,1,3,0,0 3
2 0,0,1,2,1,0,0,0 2
2 0,0,1,2,2,0,0,0 2
2 0,0,1,1,3,0,0,0 3
2 0,0,1,1,0,2,0,0 3
2 0,0,1,2,0,2,0,0 3
2 0,0,2,0,2,0,0,0 2
2 0,0,2,2,2,0,0,0 2
2 0,0,2,0,0,1,0,0 1
2 0,0,2,0,0,2,0,0 4
2 0,0,2,1,0,2,0,0 3
2 0,0,2,0,1,2,0,0 4
2 0,0,2,2,1,2,0,0 2
2 0,0,2,1,2,2,0,0 2
2 0,0,2,0,2,3,0,0 3
2 0,0,4,0,2,2,0,0 2
3 0,0,0,4,0,0,0,0 2
3 0,0,0,3,2,0,0,0 2
3 0,0,0,0,3,0,0,0 3
3 0,0,0,1,3,0,0,0 4
3 0,0,0,0,4,0,0,0 3
3 0,0,0,2,4,0,0,0 3
3 0,0,0,3,2,1,0,0 2
3 0,0,0,2,1,2,0,0 2
3 0,0,0,3,0,3,0,0 3
3 0,0,0,3,1,3,0,0 2
3 0,0,0,3,3,3,0,0 2
3 0,0,1,1,2,0,0,0 3
3 0,0,1,2,0,2,0,0 3
3 0,0,2,0,2,0,0,0 3
3 0,0,4,0,0,1,0,0 3
3 0,0,4,0,1,2,0,0 1
3 0,0,4,0,0,4,0,0 2
4 0,0,0,1,0,0,0,0 2
4 0,0,0,2,0,0,0,0 3
4 0,0,0,3,0,0,0,0 2
4 0,0,0,1,1,0,0,0 2
4 0,0,0,3,1,0,0,0 2
4 0,0,0,4,1,0,0,0 2
4 0,0,0,1,2,0,0,0 2
4 0,0,0,2,2,0,0,0 2
4 0,0,0,3,2,0,0,0 2
4 0,0,0,4,2,0,0,0 2
4 0,0,0,1,3,0,0,0 2
4 0,0,0,2,3,0,0,0 2
4 0,0,0,3,3,0,0,0 2
4 0,0,0,4,3,0,0,0 2
4 0,0,0,0,4,0,0,0 4
4 0,0,0,1,4,0,0,0 2
4 0,0,0,2,4,0,0,0 2
4 0,0,0,3,4,0,0,0 2
4 0,0,0,4,4,0,0,0 2
4 0,0,1,0,1,0,0,0 2
4 0,0,1,1,1,0,0,0 2
4 0,0,1,2,1,0,0,0 2
4 0,0,1,3,1,0,0,0 2
4 0,0,1,4,1,0,0,0 2
4 0,0,1,0,2,0,0,0 2
4 0,0,1,1,2,0,0,0 2
4 0,0,1,2,2,0,0,0 2
4 0,0,1,3,2,0,0,0 2
4 0,0,1,4,2,0,0,0 2
4 0,0,1,0,3,0,0,0 2
4 0,0,1,1,3,0,0,0 2
4 0,0,1,2,3,0,0,0 2
4 0,0,1,3,3,0,0,0 2
4 0,0,1,4,3,0,0,0 2
4 0,0,1,0,4,0,0,0 2
4 0,0,1,1,4,0,0,0 2
4 0,0,1,2,4,0,0,0 2
4 0,0,1,3,4,0,0,0 2
4 0,0,1,4,4,0,0,0 2
4 0,0,2,0,2,0,0,0 2
4 0,0,2,1,2,0,0,0 2
4 0,0,2,2,2,0,0,0 2
4 0,0,2,3,2,0,0,0 2
4 0,0,2,4,2,0,0,0 2
4 0,0,2,0,3,0,0,0 2
4 0,0,2,1,3,0,0,0 2
4 0,0,2,2,3,0,0,0 2
4 0,0,2,3,3,0,0,0 2
4 0,0,2,4,3,0,0,0 2
4 0,0,2,0,4,0,0,0 2
4 0,0,2,1,4,0,0,0 2
4 0,0,2,2,4,0,0,0 2
4 0,0,2,3,4,0,0,0 2
4 0,0,2,4,4,0,0,0 2
4 0,0,2,3,0,2,0,0 2
4 0,0,2,3,1,2,0,0 2
4 0,0,3,0,3,0,0,0 2
4 0,0,3,1,3,0,0,0 2
4 0,0,3,2,3,0,0,0 2
4 0,0,3,3,3,0,0,0 2
4 0,0,3,4,3,0,0,0 2
4 0,0,3,0,4,0,0,0 2
4 0,0,3,1,4,0,0,0 2
4 0,0,3,2,4,0,0,0 2
4 0,0,3,3,4,0,0,0 2
4 0,0,3,4,4,0,0,0 2
4 0,0,4,0,4,0,0,0 2
4 0,0,4,1,4,0,0,0 2
4 0,0,4,2,4,0,0,0 2
4 0,0,4,3,4,0,0,0 2
4 0,0,4,4,4,0,0,0 2
4 0,0,4,0,0,2,0,0 2
0 0,0,1,0,0,0,1,0 4
0 0,0,2,0,0,0,1,0 3
0 0,0,3,4,0,0,1,0 2
0 0,0,4,0,2,0,1,0 2
2 0,0,2,2,0,2,1,0 1
2 0,0,2,0,2,2,1,0 2
3 0,0,1,3,0,3,1,0 3
3 0,0,2,2,0,2,1,0 1
3 0,0,3,0,1,2,1,0 2
0 0,0,2,2,0,0,2,0 2
0 0,0,2,2,1,0,2,0 3
0 0,0,2,0,2,0,2,0 2
0 0,0,2,0,3,0,2,0 3
0 0,0,2,0,4,0,2,0 3
0 0,0,2,2,0,1,2,0 3
0 0,0,2,2,2,1,2,0 2
0 0,0,2,2,3,1,2,0 2
0 0,0,3,1,0,2,2,0 2
1 0,0,2,2,2,0,2,0 2
1 0,0,3,0,2,1,2,0 1
1 0,0,4,0,2,2,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,2,0,0,2,0 2
2 0,0,2,2,1,0,2,0 3
2 0,0,2,0,2,0,2,0 2
2 0,0,2,0,4,0,2,0 1
2 0,0,2,2,0,2,2,0 2
2 0,0,4,0,0,2,2,0 3
3 0,0,2,0,0,0,2,0 2
3 0,0,2,3,0,0,2,0 2
4 0,0,2,0,0,0,2,0 4
4 0,0,3,0,0,0,2,0 1
0 0,0,3,0,2,0,3,0 2
0 0,0,3,0,4,0,3,0 2
1 0,0,3,0,0,0,3,0 4
2 0,0,3,2,0,2,3,0 1
4 0,0,3,0,0,0,3,0 4
4 0,0,3,1,0,0,3,0 3
4 0,0,3,0,2,0,3,0 4
0 0,1,0,0,1,2,0,0 2
0 0,1,0,3,4,3,0,0 2
0 0,1,2,2,2,1,0,0 2
0 0,1,0,0,2,0,2,0 2
0 0,1,2,0,2,3,2,0 2
1 0,1,0,1,0,1,2,0 1
1 0,1,2,3,0,0,2,0 2
2 0,1,2,1,0,0,2,0 2
0 0,2,0,0,2,3,0,0 2
1 0,2,0,0,2,3,0,0 4
2 0,2,0,2,0,2,0,0 3
2 0,2,0,2,2,2,0,0 3
2 0,2,0,0,2,3,0,0 3
2 0,2,2,1,2,2,0,0 3
3 0,2,0,2,0,3,0,0 1
3 0,2,1,0,1,2,0,0 3
4 0,2,2,2,0,3,0,0 4
4 0,2,2,0,0,4,0,0 2
4 0,2,2,2,0,4,0,0 2
2 0,2,1,2,0,0,1,0 2
2 0,2,2,2,0,0,1,0 2
0 0,2,0,2,2,0,2,0 1
0 0,2,2,1,3,0,2,0 2
2 0,2,0,2,0,0,2,0 2
2 0,2,0,0,2,0,2,0 2
2 0,2,0,2,0,4,2,0 1
2 0,2,1,2,0,0,2,0 2
2 0,2,2,0,2,0,2,0 2
2 0,2,3,2,0,0,2,0 2
3 0,2,1,2,0,0,2,0 2
0 0,2,2,2,0,0,3,0 2
2 0,2,1,2,0,0,3,0 3
2 0,2,2,0,2,0,3,0 2
3 0,2,0,2,1,0,3,0 2
0 0,2,2,2,4,0,4,0 4
2 0,2,2,0,2,0,4,0 1
3 0,2,0,3,0,0,4,0 3
3 0,3,0,0,0,3,0,0 2
3 0,3,1,3,0,0,2,0 2
0 0,4,3,0,3,4,0,0 2
2 0,4,1,2,2,2,1,0 2
0 1,0,1,0,1,0,1,0 1
2 1,0,3,0,3,0,1,0 1
0 1,0,2,0,2,0,2,0 2
1 1,0,2,0,1,0,2,0 1
2 1,2,2,0,2,2,1,0 4
0 1,2,0,2,2,0,2,0 3
0 2,0,4,0,4,0,2,0 1
1 2,0,2,0,2,0,2,0 1
1 2,0,2,0,3,0,2,0 1
2 2,0,2,2,2,0,2,0 1
3 2,0,2,0,2,0,2,0 2
0 2,0,3,0,2,0,3,0 3
0 2,0,4,4,0,4,4,0 2
0 2,2,2,2,2,2,2,0 1
0 2,2,0,2,2,0,4,0 3
0 3,0,3,0,3,0,3,0 3
1 3,0,3,0,3,0,3,0 1
0 4,2,2,2,2,2,4,0 2
1 0,1,0,1,2,1,0,1 2
2 0,1,0,4,2,4,0,1 1
1 0,2,2,2,2,2,0,2 3
4 0,2,2,2,0,4,0,2 2
0 0,2,2,2,0,2,2,2 1
1 0,2,2,2,0,2,2,2 1
2 0,2,2,2,2,2,2,2 3
2 2,2,2,2,2,2,2,2 2
0 0,3,0,3,0,3,0,3 3
4 0,3,0,3,0,3,0,3 2

var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
The new blocks were placed so that only one of the four construction arms can be activated. I first used LifeViewer to determine a suitable block placement, then used an unreleased annotation feature (planned to release in v0.2.0) in RuleEngineers to precisely align the blocks.

The goal is for the p6 oscillator to act as the construction arm. The block serves as a synchronization target, ensuring that the constructor always starts from a well-defined phase. This makes the behavior deterministic, which is important because later one-photon recipes will depend on the oscillator's phase.

Next I'll get to work on the universal constructor toolkit.

EDIT: Added chiral splitters:

Code: Select all

x = 1, y = 1, rule = LifeEmergingTest04
!
# [[ PASTE RANDCELLS 1280 1280 -640 -640 ]]
@RULE LifeEmergingTest04
@COLORS
0 0,0,0
1 0,255,255
2 0,0,255
3 255,255,255
4 255,0,160
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,0,0,0 0
0 0,0,0,4,0,0,0,0 2
0 0,0,0,0,1,0,0,0 1
0 0,0,0,4,2,0,0,0 3
0 0,0,0,3,3,0,0,0 1
0 0,0,0,2,4,0,0,0 1
0 0,0,0,3,4,0,0,0 1
0 0,0,0,3,1,1,0,0 2
0 0,0,0,1,2,1,0,0 1
0 0,0,0,3,3,1,0,0 2
0 0,0,0,1,4,1,0,0 3
0 0,0,0,2,4,1,0,0 4
0 0,0,0,2,2,2,0,0 2
0 0,0,0,4,2,2,0,0 2
0 0,0,0,3,3,2,0,0 3
0 0,0,0,3,4,2,0,0 4
0 0,0,0,3,1,3,0,0 3
0 0,0,0,3,2,3,0,0 2
0 0,0,0,3,3,3,0,0 3
0 0,0,0,4,4,3,0,0 2
0 0,0,0,4,3,4,0,0 2
0 0,0,1,2,2,0,0,0 3
0 0,0,1,3,2,0,0,0 2
0 0,0,1,2,3,0,0,0 4
0 0,0,1,3,3,0,0,0 2
0 0,0,1,0,0,1,0,0 2
0 0,0,1,0,2,2,0,0 2
0 0,0,1,0,0,3,0,0 1
0 0,0,1,3,4,3,0,0 1
0 0,0,1,0,3,4,0,0 1
0 0,0,2,2,2,0,0,0 2
0 0,0,2,3,2,0,0,0 1
0 0,0,2,2,3,0,0,0 4
0 0,0,2,1,4,0,0,0 2
0 0,0,2,1,0,1,0,0 2
0 0,0,2,2,0,1,0,0 3
0 0,0,2,2,2,1,0,0 2
0 0,0,2,0,1,2,0,0 2
0 0,0,2,2,1,2,0,0 2
0 0,0,2,0,2,2,0,0 2
0 0,0,2,2,2,2,0,0 2
0 0,0,2,0,3,2,0,0 3
0 0,0,2,0,0,3,0,0 3
0 0,0,2,2,0,3,0,0 1
0 0,0,2,0,3,3,0,0 2
0 0,0,2,2,3,3,0,0 4
0 0,0,2,2,2,4,0,0 3
0 0,0,3,3,3,0,0,0 3
0 0,0,3,4,3,0,0,0 1
0 0,0,3,0,2,1,0,0 3
0 0,0,3,0,1,2,0,0 4
0 0,0,3,2,3,2,0,0 2
0 0,0,4,0,4,0,0,0 2
0 0,0,4,1,4,0,0,0 1
0 0,0,4,2,4,0,0,0 1
1 0,0,0,0,0,0,0,0 2
1 0,0,0,1,0,0,0,0 2
1 0,0,0,2,0,0,0,0 2
1 0,0,0,3,0,0,0,0 2
1 0,0,0,4,0,0,0,0 2
1 0,0,0,0,1,0,0,0 2
1 0,0,0,1,1,0,0,0 2
1 0,0,0,2,1,0,0,0 2
1 0,0,0,3,1,0,0,0 2
1 0,0,0,4,1,0,0,0 2
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,2,0,0,0 2
1 0,0,0,2,2,0,0,0 2
1 0,0,0,3,2,0,0,0 2
1 0,0,0,4,2,0,0,0 2
1 0,0,0,0,3,0,0,0 2
1 0,0,0,1,3,0,0,0 2
1 0,0,0,2,3,0,0,0 2
1 0,0,0,3,3,0,0,0 2
1 0,0,0,4,3,0,0,0 2
1 0,0,0,0,4,0,0,0 2
1 0,0,0,1,4,0,0,0 2
1 0,0,0,2,4,0,0,0 2
1 0,0,0,3,4,0,0,0 2
1 0,0,0,4,4,0,0,0 2
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,0,1,0,0 2
1 0,0,0,3,0,1,0,0 2
1 0,0,0,4,0,1,0,0 2
1 0,0,0,1,1,1,0,0 2
1 0,0,0,2,1,1,0,0 2
1 0,0,0,3,1,1,0,0 2
1 0,0,0,4,1,1,0,0 2
1 0,0,0,1,2,1,0,0 2
1 0,0,0,2,2,1,0,0 2
1 0,0,0,3,2,1,0,0 2
1 0,0,0,4,2,1,0,0 2
1 0,0,0,1,3,1,0,0 2
1 0,0,0,2,3,1,0,0 2
1 0,0,0,3,3,1,0,0 2
1 0,0,0,4,3,1,0,0 2
1 0,0,0,1,4,1,0,0 2
1 0,0,0,2,4,1,0,0 2
1 0,0,0,3,4,1,0,0 2
1 0,0,0,4,4,1,0,0 2
1 0,0,0,3,0,2,0,0 2
1 0,0,0,4,0,2,0,0 2
1 0,0,0,2,1,2,0,0 2
1 0,0,0,3,1,2,0,0 2
1 0,0,0,4,1,2,0,0 2
1 0,0,0,2,2,2,0,0 2
1 0,0,0,3,2,2,0,0 2
1 0,0,0,4,2,2,0,0 2
1 0,0,0,2,3,2,0,0 2
1 0,0,0,3,3,2,0,0 2
1 0,0,0,4,3,2,0,0 2
1 0,0,0,2,4,2,0,0 2
1 0,0,0,3,4,2,0,0 2
1 0,0,0,4,4,2,0,0 2
1 0,0,0,3,0,3,0,0 2
1 0,0,0,4,0,3,0,0 2
1 0,0,0,3,1,3,0,0 2
1 0,0,0,4,1,3,0,0 2
1 0,0,0,3,2,3,0,0 2
1 0,0,0,4,2,3,0,0 2
1 0,0,0,3,3,3,0,0 2
1 0,0,0,4,3,3,0,0 2
1 0,0,0,3,4,3,0,0 2
1 0,0,0,4,4,3,0,0 2
1 0,0,0,4,0,4,0,0 2
1 0,0,0,4,1,4,0,0 2
1 0,0,0,4,2,4,0,0 2
1 0,0,0,4,3,4,0,0 2
1 0,0,0,4,4,4,0,0 2
1 0,0,1,2,0,1,0,0 3
1 0,0,1,3,3,2,0,0 3
1 0,0,2,2,2,0,0,0 2
1 0,0,2,0,3,0,0,0 1
1 0,0,2,0,4,0,0,0 3
1 0,0,2,2,4,0,0,0 2
1 0,0,2,0,0,2,0,0 2
1 0,0,2,0,0,3,0,0 2
1 0,0,2,0,3,4,0,0 2
1 0,0,2,4,3,4,0,0 2
2 0,0,0,3,0,0,0,0 3
2 0,0,0,1,1,0,0,0 2
2 0,0,0,3,1,0,0,0 3
2 0,0,0,2,2,0,0,0 2
2 0,0,0,2,4,0,0,0 2
2 0,0,0,4,4,0,0,0 1
2 0,0,0,4,0,1,0,0 2
2 0,0,0,1,1,1,0,0 2
2 0,0,0,1,2,1,0,0 1
2 0,0,0,2,3,1,0,0 2
2 0,0,0,2,0,2,0,0 2
2 0,0,0,2,1,2,0,0 2
2 0,0,0,3,1,2,0,0 1
2 0,0,0,4,1,2,0,0 3
2 0,0,0,2,2,2,0,0 2
2 0,0,0,4,2,2,0,0 2
2 0,0,0,3,3,2,0,0 3
2 0,0,0,3,0,3,0,0 2
2 0,0,0,3,1,3,0,0 2
2 0,0,0,3,4,3,0,0 1
2 0,0,1,2,1,0,0,0 2
2 0,0,1,0,2,0,0,0 2
2 0,0,1,2,2,0,0,0 2
2 0,0,1,1,3,0,0,0 3
2 0,0,1,1,0,2,0,0 3
2 0,0,1,2,0,2,0,0 3
2 0,0,1,2,2,2,0,0 2
2 0,0,2,0,2,0,0,0 2
2 0,0,2,2,2,0,0,0 2
2 0,0,2,4,2,0,0,0 4
2 0,0,2,0,3,0,0,0 2
2 0,0,2,0,0,1,0,0 1
2 0,0,2,1,0,1,0,0 2
2 0,0,2,2,2,1,0,0 2
2 0,0,2,0,0,2,0,0 4
2 0,0,2,1,0,2,0,0 3
2 0,0,2,0,1,2,0,0 4
2 0,0,2,2,1,2,0,0 2
2 0,0,2,1,2,2,0,0 2
2 0,0,2,0,2,3,0,0 3
2 0,0,4,0,2,2,0,0 2
3 0,0,0,4,0,0,0,0 2
3 0,0,0,3,1,0,0,0 2
3 0,0,0,0,2,0,0,0 2
3 0,0,0,3,2,0,0,0 2
3 0,0,0,4,2,0,0,0 2
3 0,0,0,0,3,0,0,0 3
3 0,0,0,1,3,0,0,0 4
3 0,0,0,0,4,0,0,0 3
3 0,0,0,1,4,0,0,0 1
3 0,0,0,2,4,0,0,0 3
3 0,0,0,3,4,0,0,0 2
3 0,0,0,1,1,1,0,0 1
3 0,0,0,2,1,1,0,0 1
3 0,0,0,2,1,2,0,0 3
3 0,0,0,3,0,3,0,0 3
3 0,0,0,3,1,3,0,0 2
3 0,0,0,3,2,3,0,0 3
3 0,0,0,3,3,3,0,0 2
3 0,0,0,3,4,3,0,0 4
3 0,0,1,1,2,0,0,0 3
3 0,0,1,2,0,2,0,0 3
3 0,0,1,2,0,3,0,0 4
3 0,0,2,0,2,0,0,0 3
3 0,0,2,0,3,0,0,0 2
3 0,0,3,3,3,2,0,0 3
3 0,0,4,0,0,1,0,0 3
3 0,0,4,0,1,2,0,0 1
3 0,0,4,0,0,4,0,0 2
4 0,0,0,1,0,0,0,0 2
4 0,0,0,2,0,0,0,0 3
4 0,0,0,3,0,0,0,0 2
4 0,0,0,1,1,0,0,0 2
4 0,0,0,3,1,0,0,0 2
4 0,0,0,4,1,0,0,0 2
4 0,0,0,1,2,0,0,0 2
4 0,0,0,2,2,0,0,0 2
4 0,0,0,3,2,0,0,0 2
4 0,0,0,4,2,0,0,0 2
4 0,0,0,1,3,0,0,0 2
4 0,0,0,2,3,0,0,0 2
4 0,0,0,3,3,0,0,0 2
4 0,0,0,4,3,0,0,0 2
4 0,0,0,0,4,0,0,0 4
4 0,0,0,1,4,0,0,0 2
4 0,0,0,2,4,0,0,0 2
4 0,0,0,3,4,0,0,0 2
4 0,0,0,4,4,0,0,0 2
4 0,0,0,4,0,2,0,0 4
4 0,0,1,0,1,0,0,0 2
4 0,0,1,1,1,0,0,0 2
4 0,0,1,2,1,0,0,0 2
4 0,0,1,3,1,0,0,0 2
4 0,0,1,4,1,0,0,0 2
4 0,0,1,0,2,0,0,0 2
4 0,0,1,1,2,0,0,0 2
4 0,0,1,2,2,0,0,0 2
4 0,0,1,3,2,0,0,0 2
4 0,0,1,4,2,0,0,0 2
4 0,0,1,0,3,0,0,0 2
4 0,0,1,1,3,0,0,0 2
4 0,0,1,2,3,0,0,0 2
4 0,0,1,3,3,0,0,0 2
4 0,0,1,4,3,0,0,0 2
4 0,0,1,0,4,0,0,0 2
4 0,0,1,1,4,0,0,0 2
4 0,0,1,2,4,0,0,0 2
4 0,0,1,3,4,0,0,0 2
4 0,0,1,4,4,0,0,0 2
4 0,0,2,0,2,0,0,0 2
4 0,0,2,2,2,0,0,0 2
4 0,0,2,3,2,0,0,0 2
4 0,0,2,4,2,0,0,0 2
4 0,0,2,0,3,0,0,0 2
4 0,0,2,1,3,0,0,0 2
4 0,0,2,2,3,0,0,0 2
4 0,0,2,3,3,0,0,0 2
4 0,0,2,4,3,0,0,0 2
4 0,0,2,0,4,0,0,0 2
4 0,0,2,1,4,0,0,0 2
4 0,0,2,2,4,0,0,0 2
4 0,0,2,3,4,0,0,0 2
4 0,0,2,4,4,0,0,0 2
4 0,0,2,3,0,2,0,0 2
4 0,0,2,3,1,2,0,0 2
4 0,0,3,0,3,0,0,0 2
4 0,0,3,1,3,0,0,0 2
4 0,0,3,2,3,0,0,0 2
4 0,0,3,3,3,0,0,0 2
4 0,0,3,4,3,0,0,0 2
4 0,0,3,0,4,0,0,0 2
4 0,0,3,1,4,0,0,0 2
4 0,0,3,2,4,0,0,0 2
4 0,0,3,3,4,0,0,0 2
4 0,0,3,4,4,0,0,0 2
4 0,0,4,0,4,0,0,0 2
4 0,0,4,1,4,0,0,0 2
4 0,0,4,2,4,0,0,0 2
4 0,0,4,3,4,0,0,0 2
4 0,0,4,4,4,0,0,0 2
4 0,0,4,0,0,2,0,0 2
4 0,0,4,0,1,4,0,0 2
0 0,0,1,0,0,0,1,0 4
0 0,0,2,0,0,0,1,0 3
0 0,0,2,2,0,1,1,0 3
0 0,0,3,4,0,0,1,0 2
0 0,0,4,0,2,0,1,0 2
1 0,0,2,2,0,0,1,0 3
1 0,0,3,0,3,3,1,0 3
2 0,0,1,2,1,0,1,0 2
2 0,0,2,2,0,2,1,0 1
2 0,0,2,0,2,2,1,0 2
3 0,0,1,3,0,3,1,0 3
3 0,0,2,2,0,2,1,0 1
3 0,0,3,0,1,2,1,0 2
4 0,0,1,2,0,2,1,0 4
0 0,0,2,2,0,0,2,0 2
0 0,0,2,2,1,0,2,0 3
0 0,0,2,0,2,0,2,0 2
0 0,0,2,0,3,0,2,0 3
0 0,0,2,0,4,0,2,0 3
0 0,0,2,2,0,1,2,0 3
0 0,0,2,1,2,1,2,0 1
0 0,0,2,2,2,1,2,0 2
0 0,0,2,2,3,1,2,0 2
0 0,0,3,2,4,0,2,0 2
0 0,0,3,1,0,2,2,0 2
0 0,0,3,2,4,4,2,0 2
0 0,0,4,0,4,2,2,0 1
1 0,0,2,0,2,0,2,0 4
1 0,0,2,2,2,0,2,0 2
1 0,0,2,1,2,1,2,0 4
1 0,0,3,0,2,0,2,0 4
1 0,0,3,0,2,1,2,0 1
1 0,0,4,0,2,2,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,2,0,0,2,0 2
2 0,0,2,2,1,0,2,0 3
2 0,0,2,0,2,0,2,0 2
2 0,0,2,0,4,0,2,0 1
2 0,0,2,2,0,2,2,0 2
2 0,0,3,0,4,2,2,0 2
2 0,0,4,0,0,2,2,0 3
2 0,0,4,2,0,2,2,0 1
3 0,0,2,0,0,0,2,0 2
3 0,0,2,3,0,0,2,0 2
3 0,0,3,0,0,2,2,0 3
4 0,0,2,0,0,0,2,0 4
4 0,0,3,0,0,0,2,0 1
0 0,0,3,0,2,0,3,0 2
0 0,0,3,0,4,0,3,0 2
1 0,0,3,0,0,0,3,0 4
2 0,0,3,2,0,2,3,0 1
4 0,0,3,0,0,0,3,0 4
4 0,0,3,1,0,0,3,0 3
4 0,0,3,0,1,0,3,0 3
4 0,0,3,0,2,0,3,0 4
0 0,0,4,0,2,0,4,0 2
0 0,1,0,0,1,2,0,0 2
0 0,1,0,3,4,3,0,0 2
0 0,1,0,0,0,4,0,0 2
0 0,1,1,0,0,2,0,0 3
0 0,1,2,2,2,1,0,0 2
3 0,1,0,2,1,2,0,0 3
3 0,1,0,3,2,3,0,0 4
0 0,1,0,0,2,0,2,0 2
0 0,1,1,0,0,2,2,0 3
0 0,1,2,0,2,3,2,0 2
1 0,1,0,1,0,1,2,0 1
2 0,1,2,1,0,0,2,0 2
0 0,2,0,0,3,2,0,0 3
0 0,2,0,0,2,3,0,0 2
0 0,2,2,0,4,2,0,0 4
1 0,2,0,0,2,3,0,0 4
1 0,2,1,2,1,2,0,0 2
2 0,2,0,2,0,2,0,0 3
2 0,2,0,2,1,2,0,0 2
2 0,2,0,2,2,2,0,0 3
2 0,2,0,3,1,3,0,0 2
2 0,2,0,0,2,3,0,0 3
2 0,2,2,1,2,2,0,0 3
3 0,2,0,2,1,2,0,0 3
3 0,2,0,2,0,3,0,0 1
3 0,2,1,0,1,2,0,0 3
3 0,2,1,2,0,3,0,0 3
3 0,2,1,2,0,4,0,0 3
4 0,2,0,2,2,4,0,0 1
4 0,2,2,2,0,3,0,0 4
4 0,2,2,0,0,4,0,0 2
4 0,2,2,2,0,4,0,0 2
2 0,2,1,2,0,0,1,0 2
2 0,2,2,2,0,0,1,0 2
0 0,2,0,2,2,0,2,0 1
0 0,2,0,0,4,0,2,0 2
0 0,2,2,1,3,0,2,0 2
0 0,2,3,2,0,2,2,0 2
1 0,2,2,1,1,0,2,0 2
2 0,2,0,2,0,0,2,0 2
2 0,2,0,0,2,0,2,0 2
2 0,2,0,2,0,4,2,0 1
2 0,2,1,2,0,0,2,0 3
2 0,2,2,0,2,0,2,0 2
2 0,2,2,2,2,3,2,0 2
2 0,2,3,2,0,0,2,0 2
2 0,2,4,2,0,0,2,0 3
3 0,2,1,2,0,0,2,0 2
3 0,2,1,2,0,1,2,0 3
0 0,2,2,2,0,0,3,0 2
2 0,2,1,2,0,0,3,0 3
2 0,2,1,2,0,3,3,0 3
2 0,2,2,0,2,0,3,0 2
3 0,2,0,2,1,0,3,0 2
4 0,2,0,4,0,2,3,0 3
4 0,2,1,4,0,2,3,0 3
0 0,2,0,0,4,2,4,0 2
0 0,2,2,2,4,0,4,0 4
2 0,2,2,0,2,0,4,0 1
3 0,2,0,3,0,0,4,0 3
3 0,2,1,2,0,2,4,0 3
3 0,3,0,0,0,3,0,0 2
0 0,3,4,3,0,0,1,0 1
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3 0,3,1,1,3,1,1,0 1
1 0,3,1,3,0,0,2,0 2
2 0,3,0,0,2,2,2,0 3
3 0,3,1,3,0,0,2,0 2
2 0,3,1,3,0,0,3,0 1
2 0,3,2,3,0,2,4,0 4
4 0,3,2,3,0,2,4,0 4
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3 2,0,2,0,2,0,2,0 2
3 2,0,3,3,3,2,2,0 1
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0 4,2,2,2,2,2,4,0 2
1 0,1,0,1,2,1,0,1 2
2 0,1,0,4,2,4,0,1 1
0 2,3,0,2,0,3,2,1 2
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0 0,3,0,3,0,3,0,3 3
1 0,3,0,3,0,3,0,3 4
4 0,3,0,3,0,3,0,3 2
0 1,3,1,3,1,3,1,3 1

var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

Re: A 'life-emerging' INT rule?

Posted: July 17th, 2026, 9:00 pm
by R2INT
Added a simple constructor feature to the loops. A simple constructor pattern leaving behind a simple diagonal trail will likely emerge from a 1024x1024 soup, but you may need to wait up to 10,000 generations to see one escape. The diagonal trail recipe is preprogrammed into the rule.

Code: Select all

#C The current pattern displayed shows the reaction required to generate the natural constructor.
x = 51, y = 51, rule = LifeEmergingTest05
8.2B$8.2B3$9.2B29.2B$9.2B29.2B2$15.C3.C3.C3.C3.C3.C$2B13.D3.D3.D3.D3.
D3.D$2B2.2B9.C3.C3.C3.C3.C3.C9.2B$4.2B5.B27.B5.2B$10.BAB25.BAB$11.B27.
B3$7.CDC31.CDC$17.C15.C$16.CBC13.CBC$17.C15.C$7.CDC31.CDC$45.AB3$7.CD
C31.CDC$25.B$24.B.B$25.B$7.CDC31.CDC4$7.CDC31.CDC$17.C15.C$16.CBC13.C
BC$17.C15.C$7.CDC31.CDC3$11.B27.B$10.BAB25.BAB$4.2B5.B27.B5.2B$2B2.2B
9.C3.C3.C3.C3.C3.C9.2B2.2B$2B13.D3.D3.D3.D3.D3.D13.2B$15.C3.C3.C3.C3.
C3.C2$9.2B29.2B$9.2B29.2B3$8.2B31.2B$8.2B31.2B!
@RULE LifeEmergingTest05
@COLORS
0 0,0,0
1 0,255,255
2 0,0,255
3 255,255,255
4 255,0,160
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,0,0,0 0
0 0,0,0,4,0,0,0,0 2
0 0,0,0,0,1,0,0,0 1
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0 0,0,0,3,3,0,0,0 1
0 0,0,0,2,4,0,0,0 1
0 0,0,0,3,4,0,0,0 1
0 0,0,0,3,1,1,0,0 2
0 0,0,0,1,2,1,0,0 1
0 0,0,0,3,3,1,0,0 2
0 0,0,0,1,4,1,0,0 3
0 0,0,0,2,4,1,0,0 4
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0 0,0,3,4,3,0,0,0 1
0 0,0,3,0,2,1,0,0 3
0 0,0,3,1,2,1,0,0 2
0 0,0,3,1,4,1,0,0 3
0 0,0,3,4,0,2,0,0 3
0 0,0,3,0,1,2,0,0 4
0 0,0,3,2,3,2,0,0 2
0 0,0,3,4,3,2,0,0 1
0 0,0,3,0,3,3,0,0 2
0 0,0,3,4,3,3,0,0 1
0 0,0,4,0,4,0,0,0 2
0 0,0,4,1,4,0,0,0 1
0 0,0,4,2,4,0,0,0 1
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1 0,0,0,2,0,0,0,0 2
1 0,0,0,3,0,0,0,0 2
1 0,0,0,4,0,0,0,0 2
1 0,0,0,0,1,0,0,0 2
1 0,0,0,1,1,0,0,0 2
1 0,0,0,2,1,0,0,0 2
1 0,0,0,3,1,0,0,0 2
1 0,0,0,4,1,0,0,0 2
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,2,0,0,0 2
1 0,0,0,2,2,0,0,0 2
1 0,0,0,3,2,0,0,0 2
1 0,0,0,4,2,0,0,0 2
1 0,0,0,0,3,0,0,0 2
1 0,0,0,1,3,0,0,0 2
1 0,0,0,2,3,0,0,0 2
1 0,0,0,3,3,0,0,0 2
1 0,0,0,4,3,0,0,0 2
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1 0,0,0,1,4,0,0,0 2
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1 0,0,0,3,4,0,0,0 2
1 0,0,0,4,4,0,0,0 2
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1 0,0,0,2,0,1,0,0 2
1 0,0,0,3,0,1,0,0 2
1 0,0,0,4,0,1,0,0 2
1 0,0,0,1,1,1,0,0 2
1 0,0,0,2,1,1,0,0 2
1 0,0,0,3,1,1,0,0 2
1 0,0,0,4,1,1,0,0 2
1 0,0,0,1,2,1,0,0 2
1 0,0,0,2,2,1,0,0 2
1 0,0,0,3,2,1,0,0 2
1 0,0,0,4,2,1,0,0 2
1 0,0,0,1,3,1,0,0 2
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1 0,0,0,3,3,1,0,0 2
1 0,0,0,4,3,1,0,0 2
1 0,0,0,1,4,1,0,0 2
1 0,0,0,2,4,1,0,0 2
1 0,0,0,3,4,1,0,0 2
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1 0,0,0,3,0,2,0,0 2
1 0,0,0,4,0,2,0,0 2
1 0,0,0,2,1,2,0,0 2
1 0,0,0,3,1,2,0,0 2
1 0,0,0,4,1,2,0,0 2
1 0,0,0,2,2,2,0,0 2
1 0,0,0,3,2,2,0,0 2
1 0,0,0,4,2,2,0,0 2
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1 0,0,0,4,4,2,0,0 2
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1 0,0,2,2,2,0,0,0 2
1 0,0,2,0,3,0,0,0 1
1 0,0,2,0,4,0,0,0 3
1 0,0,2,1,4,0,0,0 3
1 0,0,2,2,4,0,0,0 2
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1 0,0,2,1,4,1,0,0 3
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1 0,0,2,0,0,3,0,0 2
1 0,0,2,0,3,4,0,0 2
1 0,0,2,4,3,4,0,0 2
1 0,0,3,1,0,1,0,0 2
1 0,0,3,0,2,1,0,0 3
1 0,0,4,0,4,0,0,0 3
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2 0,0,0,3,1,2,0,0 1
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2 0,0,0,2,2,2,0,0 2
2 0,0,0,3,2,2,0,0 4
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2 0,0,0,3,3,2,0,0 3
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2 0,0,0,3,4,3,0,0 1
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4 0,0,1,3,4,0,0,0 2
4 0,0,1,4,4,0,0,0 2
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4 0,0,2,2,2,0,0,0 2
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1 0,0,2,2,0,0,1,0 3
1 0,0,2,0,4,0,1,0 3
1 0,0,2,1,4,0,1,0 3
1 0,0,3,0,3,3,1,0 3
2 0,0,1,2,1,0,1,0 2
2 0,0,2,2,0,2,1,0 1
2 0,0,2,0,2,2,1,0 2
3 0,0,1,0,1,0,1,0 2
3 0,0,1,0,3,0,1,0 3
3 0,0,1,2,1,2,1,0 3
3 0,0,1,3,0,3,1,0 3
3 0,0,2,2,0,2,1,0 1
3 0,0,3,0,1,2,1,0 2
4 0,0,1,2,0,2,1,0 4
4 0,0,1,2,1,2,1,0 4
0 0,0,2,2,0,0,2,0 2
0 0,0,2,1,1,0,2,0 1
0 0,0,2,2,1,0,2,0 3
0 0,0,2,0,2,0,2,0 2
0 0,0,2,0,3,0,2,0 3
0 0,0,2,0,4,0,2,0 3
0 0,0,2,2,0,1,2,0 3
0 0,0,2,1,2,1,2,0 1
0 0,0,2,2,2,1,2,0 2
0 0,0,2,2,3,1,2,0 2
0 0,0,2,3,2,2,2,0 2
0 0,0,3,3,2,0,2,0 1
0 0,0,3,2,4,0,2,0 2
0 0,0,3,1,0,2,2,0 2
0 0,0,3,2,4,4,2,0 2
0 0,0,4,0,4,2,2,0 1
1 0,0,2,0,2,0,2,0 4
1 0,0,2,2,2,0,2,0 2
1 0,0,2,1,2,1,2,0 4
1 0,0,2,1,3,1,2,0 4
1 0,0,2,2,3,2,2,0 2
1 0,0,3,0,2,0,2,0 4
1 0,0,3,0,2,1,2,0 1
1 0,0,3,0,4,1,2,0 3
1 0,0,4,0,4,1,2,0 3
1 0,0,4,0,2,2,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,2,0,0,2,0 2
2 0,0,2,2,1,0,2,0 3
2 0,0,2,0,2,0,2,0 2
2 0,0,2,0,4,0,2,0 1
2 0,0,2,2,0,2,2,0 2
2 0,0,2,4,0,2,2,0 2
2 0,0,2,3,2,2,2,0 2
2 0,0,2,4,2,2,2,0 3
2 0,0,3,0,4,2,2,0 2
2 0,0,4,0,0,2,2,0 3
2 0,0,4,2,0,2,2,0 1
3 0,0,2,0,0,0,2,0 2
3 0,0,2,3,0,0,2,0 2
3 0,0,2,2,1,2,2,0 2
3 0,0,2,2,3,2,2,0 3
3 0,0,3,0,0,2,2,0 3
4 0,0,2,0,0,0,2,0 4
4 0,0,3,0,0,0,2,0 1
4 0,0,4,0,2,0,2,0 3
0 0,0,3,0,2,0,3,0 2
0 0,0,3,4,3,0,3,0 1
0 0,0,3,0,4,0,3,0 2
0 0,0,3,1,4,1,3,0 3
1 0,0,3,0,0,0,3,0 4
2 0,0,3,2,0,2,3,0 1
3 0,0,3,3,0,0,3,0 1
3 0,0,3,2,0,2,3,0 1
3 0,0,3,3,0,3,3,0 3
3 0,0,4,0,0,0,3,0 1
4 0,0,3,0,0,0,3,0 4
4 0,0,3,1,0,0,3,0 3
4 0,0,3,0,1,0,3,0 3
4 0,0,3,0,2,0,3,0 4
4 0,0,3,0,3,0,3,0 1
0 0,0,4,0,2,0,4,0 2
4 0,0,4,2,1,2,4,0 4
0 0,1,0,0,2,1,0,0 2
0 0,1,0,0,1,2,0,0 2
0 0,1,0,2,1,2,0,0 2
0 0,1,0,2,3,2,0,0 3
0 0,1,0,3,4,3,0,0 2
0 0,1,0,0,0,4,0,0 2
0 0,1,1,0,0,2,0,0 3
0 0,1,2,2,2,1,0,0 2
0 0,1,4,1,0,2,0,0 3
0 0,1,4,1,0,3,0,0 3
0 0,1,4,1,1,4,0,0 3
1 0,1,1,0,0,2,0,0 2
3 0,1,0,2,1,2,0,0 3
3 0,1,0,3,2,3,0,0 4
3 0,1,4,1,0,3,0,0 3
4 0,1,1,2,0,2,1,0 4
4 0,1,1,2,1,2,1,0 4
0 0,1,0,0,2,0,2,0 2
0 0,1,1,0,0,2,2,0 3
0 0,1,2,0,2,3,2,0 2
0 0,1,4,1,0,2,2,0 3
0 0,1,4,1,1,2,2,0 3
1 0,1,0,1,0,1,2,0 1
2 0,1,0,0,2,2,2,0 3
2 0,1,2,1,0,0,2,0 2
0 0,1,0,0,3,4,3,0 4
0 0,1,4,1,0,0,3,0 3
0 0,1,4,1,4,4,3,0 3
1 0,1,4,1,0,0,4,0 3
0 0,2,0,0,3,2,0,0 3
0 0,2,0,0,2,3,0,0 2
0 0,2,1,2,0,3,0,0 2
0 0,2,2,0,4,2,0,0 4
1 0,2,0,0,2,3,0,0 4
1 0,2,1,2,1,2,0,0 2
2 0,2,0,2,0,2,0,0 3
2 0,2,0,2,1,2,0,0 2
2 0,2,0,2,2,2,0,0 3
2 0,2,0,3,1,3,0,0 2
2 0,2,0,0,2,3,0,0 3
2 0,2,2,1,2,2,0,0 3
2 0,2,2,0,0,3,0,0 1
2 0,2,2,0,2,3,0,0 3
3 0,2,0,2,1,2,0,0 3
3 0,2,0,2,0,3,0,0 1
3 0,2,0,3,4,3,0,0 4
3 0,2,1,0,1,2,0,0 3
3 0,2,1,2,0,3,0,0 3
3 0,2,1,2,0,4,0,0 3
4 0,2,0,2,2,4,0,0 1
4 0,2,2,2,0,3,0,0 4
4 0,2,2,0,0,4,0,0 2
4 0,2,2,2,0,4,0,0 2
2 0,2,1,2,0,0,1,0 2
2 0,2,2,2,0,0,1,0 2
0 0,2,0,2,2,0,2,0 1
0 0,2,0,0,4,0,2,0 2
0 0,2,2,1,3,0,2,0 2
0 0,2,3,2,0,2,2,0 2
1 0,2,0,0,4,0,2,0 3
1 0,2,0,0,4,1,2,0 3
1 0,2,2,1,1,0,2,0 2
2 0,2,0,2,0,0,2,0 2
2 0,2,0,0,2,0,2,0 2
2 0,2,0,2,0,4,2,0 1
2 0,2,1,2,0,0,2,0 3
2 0,2,2,0,2,0,2,0 2
2 0,2,2,2,2,3,2,0 2
2 0,2,2,0,3,3,2,0 2
2 0,2,3,2,0,0,2,0 2
2 0,2,3,0,3,3,2,0 2
2 0,2,4,2,0,0,2,0 3
3 0,2,1,2,0,0,2,0 2
3 0,2,1,2,0,1,2,0 3
0 0,2,0,0,3,4,3,0 1
0 0,2,2,2,0,0,3,0 2
0 0,2,3,0,3,4,3,0 1
2 0,2,1,2,0,0,3,0 3
2 0,2,1,2,0,3,3,0 3
2 0,2,2,0,2,0,3,0 2
3 0,2,0,2,1,0,3,0 2
4 0,2,0,4,0,2,3,0 3
4 0,2,1,4,0,2,3,0 3
0 0,2,0,0,4,2,4,0 2
0 0,2,2,2,4,0,4,0 4
2 0,2,2,0,2,0,4,0 1
3 0,2,0,3,0,0,4,0 3
3 0,2,1,2,0,2,4,0 3
4 0,2,1,0,2,1,4,0 3
0 0,3,0,0,0,3,0,0 3
0 0,3,0,3,4,3,0,0 4
3 0,3,0,0,0,3,0,0 2
3 0,3,0,3,4,3,0,0 4
3 0,3,2,3,2,3,0,0 1
0 0,3,4,3,0,0,1,0 1
2 0,3,1,0,1,1,1,0 1
2 0,3,4,3,0,2,1,0 2
3 0,3,1,1,3,1,1,0 1
4 0,3,1,2,1,2,1,0 4
1 0,3,1,3,0,0,2,0 2
2 0,3,0,2,0,2,2,0 2
2 0,3,0,0,2,2,2,0 3
3 0,3,1,3,0,0,2,0 2
3 0,3,4,3,0,0,2,0 4
2 0,3,1,3,0,0,3,0 1
3 0,3,0,3,0,0,3,0 2
3 0,3,4,3,0,0,3,0 4
2 0,3,2,3,0,2,4,0 4
4 0,3,2,3,0,2,4,0 4
0 0,4,3,0,3,4,0,0 2
2 0,4,1,2,2,2,1,0 2
4 0,4,1,2,1,2,1,0 4
2 0,4,0,0,2,0,2,0 1
2 0,4,2,4,0,0,2,0 3
0 1,0,1,0,1,0,1,0 1
4 1,0,1,2,0,2,1,0 4
4 1,0,1,2,1,2,1,0 4
0 1,0,2,0,2,0,2,0 2
1 1,0,2,0,1,0,2,0 1
0 1,0,3,0,2,0,3,0 2
1 1,0,3,0,1,0,3,0 1
1 1,0,3,0,2,0,3,0 1
0 1,1,2,0,3,3,1,0 1
2 1,2,2,0,2,2,1,0 4
0 1,2,0,2,2,0,2,0 3
2 1,2,1,0,2,2,2,0 4
0 1,3,1,0,3,3,1,0 2
0 1,3,3,0,3,3,1,0 3
4 1,4,0,4,1,0,3,0 3
0 2,0,2,2,2,0,2,0 4
1 2,0,2,0,2,0,2,0 1
1 2,0,2,0,3,0,2,0 1
1 2,0,4,0,4,0,2,0 2
2 2,0,2,2,2,0,2,0 1
2 2,0,4,0,4,0,2,0 2
2 2,0,4,2,2,2,2,0 2
3 2,0,2,0,2,0,2,0 2
3 2,0,3,3,3,2,2,0 1
0 2,0,3,0,2,0,3,0 3
1 2,0,3,0,2,0,3,0 1
2 2,0,3,0,3,0,3,0 2
0 2,0,4,4,0,4,4,0 2
0 2,2,2,2,2,2,2,0 1
0 2,2,0,2,2,0,3,0 3
0 2,2,3,0,3,4,3,0 1
3 2,2,3,2,2,0,3,0 1
0 2,2,0,2,2,0,4,0 3
2 2,2,0,2,3,0,4,0 2
0 2,3,4,0,4,3,2,0 2
0 3,0,3,0,3,0,3,0 3
1 3,0,3,0,3,0,3,0 1
2 3,0,3,0,3,0,3,0 2
2 3,0,3,2,3,2,3,0 4
0 3,1,2,1,2,1,3,0 1
0 4,2,0,2,0,2,4,0 1
0 4,2,2,2,2,2,4,0 2
0 4,2,2,2,0,4,4,0 2
1 0,1,0,1,2,1,0,1 2
2 0,1,0,4,2,4,0,1 1
3 0,3,0,3,0,1,3,1 2
0 2,3,0,2,0,3,2,1 2
1 2,3,0,3,2,1,4,1 3
1 0,2,2,2,2,2,0,2 3
0 0,2,2,2,0,2,2,2 1
1 0,2,2,2,0,2,2,2 1
2 0,2,2,2,2,2,2,2 3
3 0,2,2,2,3,2,2,2 3
0 0,2,3,2,3,2,3,2 3
4 1,2,1,3,0,3,1,2 4
2 2,2,2,2,2,2,2,2 2
0 0,3,0,3,0,3,0,3 3
1 0,3,0,3,0,3,0,3 4
4 0,3,0,3,0,3,0,3 2
0 1,3,1,3,1,3,1,3 1

var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
Out of the 14 independent 1024x1024 soups I tested, the constructor emerged 15 times. Interestingly, some of the constructors produced mutations:
  • One of them executed a STOP command that removed the hand oscillator, allowing the photons to escape.
  • Another one had its recipe altered to place the reflectors closer to each other, making it travel slower.
  • A third mutation caused the recipe to be packed more densely, speeding up the construction of the trail.
However, I wouldn't call it an "evolution simulator" yet, because currently recipes are not able to clone their instructions to new constructors.

EDIT: First self-replication test. It almost creates an exact copy, but the operation is incomplete so the replicator is destroyed.

Code: Select all

x = 51, y = 51, rule = EvoPhotons-pre
8.2B31.2B$8.2B31.2B3$9.2B29.2B$9.2B29.2B2$15.C3.C3.C3.C3.C3.C$2B13.D3.
D3.D3.D3.D3.D13.2B$2B2.2B9.C3.C3.C3.C3.C3.C9.2B2.2B$4.2B5.B27.B5.2B$10.
BAB25.BAB$11.B27.B3$7.CDC31.CDC$17.C15.C$16.CBC13.CBC$17.C15.C$7.CDC31.
CDC$46.AB3$7.CDC31.CDC$25.B$24.B.B$25.B$7.CDC31.CDC4$7.CDC31.CDC$17.C
15.C$16.CBC13.CBC$17.C15.C$7.CDC31.CDC3$11.B27.B$10.BAB25.BAB$4.2B5.B
27.B5.2B$2B2.2B9.C3.C3.C3.C3.C3.C9.2B2.2B$2B13.D3.D3.D3.D3.D3.D13.2B$
15.C3.C3.C3.C3.C3.C2$9.2B29.2B$9.2B29.2B3$8.2B31.2B$8.2B31.2B!
@RULE EvoPhotons-pre
@COLORS
0 0,0,0
1 255,255,0
2 0,191,0
3 191,0,255
4 255,255,255
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
0 0,0,0,0,0,0,0,0 0
0 0,0,0,4,0,0,0,0 2
0 0,0,0,0,1,0,0,0 1
0 0,0,0,4,2,0,0,0 3
0 0,0,0,3,3,0,0,0 1
0 0,0,0,2,4,0,0,0 1
0 0,0,0,3,4,0,0,0 1
0 0,0,0,1,2,1,0,0 1
0 0,0,0,1,4,1,0,0 3
0 0,0,0,2,4,1,0,0 4
0 0,0,0,2,2,2,0,0 2
0 0,0,0,4,2,2,0,0 2
0 0,0,0,3,3,2,0,0 3
0 0,0,0,3,4,2,0,0 4
0 0,0,0,3,1,3,0,0 3
0 0,0,0,3,2,3,0,0 2
0 0,0,0,3,3,3,0,0 3
0 0,0,0,4,3,4,0,0 2
0 0,0,0,4,4,4,0,0 3
0 0,0,1,2,2,0,0,0 3
0 0,0,1,2,3,0,0,0 4
0 0,0,1,3,3,0,0,0 2
0 0,0,1,0,0,1,0,0 2
0 0,0,1,0,2,2,0,0 2
0 0,0,1,0,0,3,0,0 1
0 0,0,1,3,4,3,0,0 1
0 0,0,1,0,3,4,0,0 1
0 0,0,2,2,2,0,0,0 2
0 0,0,2,3,2,0,0,0 1
0 0,0,2,2,3,0,0,0 4
0 0,0,2,1,4,0,0,0 2
0 0,0,2,1,0,1,0,0 2
0 0,0,2,2,0,1,0,0 3
0 0,0,2,2,2,1,0,0 2
0 0,0,2,0,1,2,0,0 2
0 0,0,2,2,1,2,0,0 2
0 0,0,2,0,2,2,0,0 2
0 0,0,2,2,2,2,0,0 2
0 0,0,2,0,3,2,0,0 3
0 0,0,2,0,0,3,0,0 3
0 0,0,2,2,0,3,0,0 1
0 0,0,2,0,3,3,0,0 2
0 0,0,2,2,2,4,0,0 3
0 0,0,3,3,3,0,0,0 3
0 0,0,3,4,3,0,0,0 1
0 0,0,3,0,2,1,0,0 3
0 0,0,3,1,4,1,0,0 3
0 0,0,3,4,0,2,0,0 3
0 0,0,3,0,1,2,0,0 4
0 0,0,3,2,3,2,0,0 2
0 0,0,3,4,3,2,0,0 1
0 0,0,3,1,0,3,0,0 2
0 0,0,3,0,3,3,0,0 2
0 0,0,3,4,3,3,0,0 1
0 0,0,4,0,4,0,0,0 2
0 0,0,4,1,4,0,0,0 1
0 0,0,4,2,4,0,0,0 1
1 0,0,0,0,0,0,0,0 2
1 0,0,0,1,0,0,0,0 2
1 0,0,0,2,0,0,0,0 2
1 0,0,0,3,0,0,0,0 2
1 0,0,0,4,0,0,0,0 2
1 0,0,0,0,1,0,0,0 2
1 0,0,0,1,1,0,0,0 2
1 0,0,0,2,1,0,0,0 2
1 0,0,0,3,1,0,0,0 2
1 0,0,0,4,1,0,0,0 2
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,2,0,0,0 2
1 0,0,0,2,2,0,0,0 2
1 0,0,0,3,2,0,0,0 2
1 0,0,0,4,2,0,0,0 2
1 0,0,0,0,3,0,0,0 2
1 0,0,0,1,3,0,0,0 2
1 0,0,0,2,3,0,0,0 2
1 0,0,0,3,3,0,0,0 2
1 0,0,0,4,3,0,0,0 2
1 0,0,0,0,4,0,0,0 2
1 0,0,0,1,4,0,0,0 2
1 0,0,0,2,4,0,0,0 2
1 0,0,0,3,4,0,0,0 2
1 0,0,0,4,4,0,0,0 2
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,0,1,0,0 2
1 0,0,0,3,0,1,0,0 2
1 0,0,0,4,0,1,0,0 2
1 0,0,0,1,1,1,0,0 2
1 0,0,0,2,1,1,0,0 2
1 0,0,0,3,1,1,0,0 2
1 0,0,0,4,1,1,0,0 2
1 0,0,0,1,2,1,0,0 2
1 0,0,0,2,2,1,0,0 2
1 0,0,0,3,2,1,0,0 2
1 0,0,0,4,2,1,0,0 2
1 0,0,0,1,3,1,0,0 2
1 0,0,0,2,3,1,0,0 2
1 0,0,0,3,3,1,0,0 2
1 0,0,0,4,3,1,0,0 2
1 0,0,0,1,4,1,0,0 2
1 0,0,0,2,4,1,0,0 2
1 0,0,0,3,4,1,0,0 2
1 0,0,0,4,4,1,0,0 2
1 0,0,0,3,0,2,0,0 2
1 0,0,0,4,0,2,0,0 2
1 0,0,0,2,1,2,0,0 2
1 0,0,0,3,1,2,0,0 2
1 0,0,0,4,1,2,0,0 2
1 0,0,0,2,2,2,0,0 2
1 0,0,0,3,2,2,0,0 2
1 0,0,0,4,2,2,0,0 2
1 0,0,0,2,3,2,0,0 2
1 0,0,0,3,3,2,0,0 2
1 0,0,0,4,3,2,0,0 2
1 0,0,0,2,4,2,0,0 2
1 0,0,0,3,4,2,0,0 2
1 0,0,0,4,4,2,0,0 2
1 0,0,0,3,0,3,0,0 2
1 0,0,0,4,0,3,0,0 2
1 0,0,0,3,1,3,0,0 2
1 0,0,0,4,1,3,0,0 2
1 0,0,0,3,2,3,0,0 2
1 0,0,0,4,2,3,0,0 2
1 0,0,0,3,3,3,0,0 2
1 0,0,0,4,3,3,0,0 2
1 0,0,0,3,4,3,0,0 2
1 0,0,0,4,4,3,0,0 2
1 0,0,0,4,0,4,0,0 2
1 0,0,0,4,1,4,0,0 2
1 0,0,0,4,2,4,0,0 2
1 0,0,0,4,3,4,0,0 2
1 0,0,0,4,4,4,0,0 2
1 0,0,1,1,0,3,0,0 2
1 0,0,2,2,2,0,0,0 2
1 0,0,2,0,3,0,0,0 1
1 0,0,2,1,4,0,0,0 3
1 0,0,2,2,4,0,0,0 2
1 0,0,2,1,4,1,0,0 3
1 0,0,2,0,0,2,0,0 2
1 0,0,2,0,0,3,0,0 2
1 0,0,2,4,3,4,0,0 2
1 0,0,3,0,0,2,0,0 2
1 0,0,4,0,4,0,0,0 3
2 0,0,0,3,0,0,0,0 3
2 0,0,0,1,1,0,0,0 2
2 0,0,0,3,1,0,0,0 3
2 0,0,0,2,2,0,0,0 2
2 0,0,0,2,4,0,0,0 2
2 0,0,0,4,4,0,0,0 1
2 0,0,0,4,0,1,0,0 2
2 0,0,0,1,1,1,0,0 2
2 0,0,0,1,2,1,0,0 1
2 0,0,0,2,0,2,0,0 2
2 0,0,0,2,1,2,0,0 2
2 0,0,0,3,1,2,0,0 1
2 0,0,0,4,1,2,0,0 3
2 0,0,0,2,2,2,0,0 2
2 0,0,0,4,2,2,0,0 2
2 0,0,0,3,0,3,0,0 2
2 0,0,0,3,1,3,0,0 2
2 0,0,0,3,4,3,0,0 1
2 0,0,1,2,1,0,0,0 2
2 0,0,1,3,1,0,0,0 3
2 0,0,1,2,2,0,0,0 2
2 0,0,1,3,2,0,0,0 2
2 0,0,1,1,3,0,0,0 3
2 0,0,1,2,0,2,0,0 3
2 0,0,2,0,2,0,0,0 2
2 0,0,2,2,2,0,0,0 2
2 0,0,2,4,2,0,0,0 4
2 0,0,2,0,3,0,0,0 2
2 0,0,2,3,3,0,0,0 2
2 0,0,2,0,0,1,0,0 1
2 0,0,2,2,2,1,0,0 2
2 0,0,2,0,0,2,0,0 4
2 0,0,2,1,0,2,0,0 3
2 0,0,2,0,1,2,0,0 4
2 0,0,2,2,1,2,0,0 2
2 0,0,2,1,2,2,0,0 2
2 0,0,2,0,0,3,0,0 2
2 0,0,2,3,3,3,0,0 2
2 0,0,4,0,2,2,0,0 2
3 0,0,0,1,0,0,0,0 2
3 0,0,0,2,0,0,0,0 2
3 0,0,0,4,0,0,0,0 2
3 0,0,0,0,2,0,0,0 2
3 0,0,0,3,2,0,0,0 2
3 0,0,0,4,2,0,0,0 2
3 0,0,0,0,3,0,0,0 3
3 0,0,0,1,3,0,0,0 4
3 0,0,0,3,3,0,0,0 2
3 0,0,0,0,4,0,0,0 3
3 0,0,0,1,4,0,0,0 1
3 0,0,0,2,4,0,0,0 3
3 0,0,0,3,4,0,0,0 2
3 0,0,0,1,1,1,0,0 1
3 0,0,0,2,1,1,0,0 1
3 0,0,0,2,1,2,0,0 3
3 0,0,0,3,0,3,0,0 3
3 0,0,0,3,2,3,0,0 3
3 0,0,0,3,3,3,0,0 3
3 0,0,0,3,4,3,0,0 4
3 0,0,1,1,2,0,0,0 3
3 0,0,1,2,0,2,0,0 3
3 0,0,1,2,0,3,0,0 4
3 0,0,2,0,3,0,0,0 2
3 0,0,2,2,3,3,0,0 2
3 0,0,3,0,0,4,0,0 3
3 0,0,4,0,0,1,0,0 3
3 0,0,4,0,0,3,0,0 1
3 0,0,4,3,0,3,0,0 2
3 0,0,4,0,0,4,0,0 2
4 0,0,0,1,0,0,0,0 2
4 0,0,0,2,0,0,0,0 3
4 0,0,0,3,0,0,0,0 2
4 0,0,0,1,1,0,0,0 2
4 0,0,0,3,1,0,0,0 2
4 0,0,0,4,1,0,0,0 2
4 0,0,0,1,2,0,0,0 2
4 0,0,0,2,2,0,0,0 2
4 0,0,0,3,2,0,0,0 2
4 0,0,0,4,2,0,0,0 2
4 0,0,0,1,3,0,0,0 2
4 0,0,0,2,3,0,0,0 2
4 0,0,0,3,3,0,0,0 2
4 0,0,0,4,3,0,0,0 2
4 0,0,0,0,4,0,0,0 4
4 0,0,0,1,4,0,0,0 2
4 0,0,0,2,4,0,0,0 2
4 0,0,0,3,4,0,0,0 2
4 0,0,0,4,4,0,0,0 2
4 0,0,0,4,0,2,0,0 4
4 0,0,1,0,1,0,0,0 2
4 0,0,1,1,1,0,0,0 2
4 0,0,1,2,1,0,0,0 2
4 0,0,1,3,1,0,0,0 2
4 0,0,1,4,1,0,0,0 2
4 0,0,1,0,2,0,0,0 2
4 0,0,1,1,2,0,0,0 2
4 0,0,1,2,2,0,0,0 2
4 0,0,1,3,2,0,0,0 2
4 0,0,1,4,2,0,0,0 2
4 0,0,1,0,3,0,0,0 2
4 0,0,1,1,3,0,0,0 2
4 0,0,1,2,3,0,0,0 2
4 0,0,1,3,3,0,0,0 2
4 0,0,1,4,3,0,0,0 2
4 0,0,1,0,4,0,0,0 2
4 0,0,1,1,4,0,0,0 2
4 0,0,1,2,4,0,0,0 2
4 0,0,1,3,4,0,0,0 2
4 0,0,1,4,4,0,0,0 2
4 0,0,2,0,2,0,0,0 2
4 0,0,2,2,2,0,0,0 2
4 0,0,2,3,2,0,0,0 2
4 0,0,2,4,2,0,0,0 2
4 0,0,2,0,3,0,0,0 2
4 0,0,2,1,3,0,0,0 2
4 0,0,2,2,3,0,0,0 2
4 0,0,2,3,3,0,0,0 2
4 0,0,2,4,3,0,0,0 2
4 0,0,2,0,4,0,0,0 2
4 0,0,2,1,4,0,0,0 2
4 0,0,2,2,4,0,0,0 2
4 0,0,2,3,4,0,0,0 2
4 0,0,2,4,4,0,0,0 2
4 0,0,2,3,1,2,0,0 2
4 0,0,3,0,3,0,0,0 2
4 0,0,3,1,3,0,0,0 2
4 0,0,3,2,3,0,0,0 2
4 0,0,3,3,3,0,0,0 2
4 0,0,3,4,3,0,0,0 2
4 0,0,3,0,4,0,0,0 2
4 0,0,3,1,4,0,0,0 2
4 0,0,3,2,4,0,0,0 2
4 0,0,3,3,4,0,0,0 2
4 0,0,3,4,4,0,0,0 2
4 0,0,4,0,4,0,0,0 2
4 0,0,4,1,4,0,0,0 2
4 0,0,4,2,4,0,0,0 2
4 0,0,4,3,4,0,0,0 2
4 0,0,4,4,4,0,0,0 2
4 0,0,4,0,0,2,0,0 2
4 0,0,4,0,1,4,0,0 2
0 0,0,1,0,0,0,1,0 4
0 0,0,2,0,0,0,1,0 3
0 0,0,3,4,0,0,1,0 2
0 0,0,4,0,2,0,1,0 2
1 0,0,2,1,4,0,1,0 3
2 0,0,2,0,2,2,1,0 2
3 0,0,1,0,3,0,1,0 3
3 0,0,1,2,1,2,1,0 3
3 0,0,1,3,0,3,1,0 3
3 0,0,2,2,0,2,1,0 1
4 0,0,1,2,1,2,1,0 4
0 0,0,2,2,0,0,2,0 2
0 0,0,2,2,1,0,2,0 3
0 0,0,2,0,2,0,2,0 2
0 0,0,2,0,3,0,2,0 3
0 0,0,2,2,0,1,2,0 3
0 0,0,2,1,2,1,2,0 1
0 0,0,2,2,2,1,2,0 2
0 0,0,2,2,3,1,2,0 2
0 0,0,3,2,4,0,2,0 2
0 0,0,3,1,0,2,2,0 2
0 0,0,3,0,0,4,2,0 4
0 0,0,3,2,4,4,2,0 2
0 0,0,4,0,4,2,2,0 1
1 0,0,2,0,2,0,2,0 4
1 0,0,2,2,2,0,2,0 2
1 0,0,2,1,2,1,2,0 4
1 0,0,2,1,3,1,2,0 4
1 0,0,2,2,3,2,2,0 2
1 0,0,3,0,2,0,2,0 4
1 0,0,3,0,2,1,2,0 1
1 0,0,3,0,4,1,2,0 3
1 0,0,4,0,4,1,2,0 3
1 0,0,4,0,2,2,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,2,0,0,2,0 2
2 0,0,2,2,1,0,2,0 3
2 0,0,2,0,2,0,2,0 2
2 0,0,2,0,4,0,2,0 1
2 0,0,2,2,0,2,2,0 2
2 0,0,2,3,2,2,2,0 2
2 0,0,3,0,4,2,2,0 2
2 0,0,4,0,0,2,2,0 3
2 0,0,4,2,0,2,2,0 1
3 0,0,2,0,0,0,2,0 2
3 0,0,2,3,0,0,2,0 2
3 0,0,2,2,1,2,2,0 2
3 0,0,2,2,3,2,2,0 3
4 0,0,2,0,0,0,2,0 4
4 0,0,3,0,0,0,2,0 1
0 0,0,3,0,2,0,3,0 2
0 0,0,3,4,3,0,3,0 1
0 0,0,3,0,4,0,3,0 2
0 0,0,3,1,4,1,3,0 3
1 0,0,3,0,0,0,3,0 4
3 0,0,3,2,0,2,3,0 1
3 0,0,3,3,0,3,3,0 3
3 0,0,4,0,0,0,3,0 1
4 0,0,3,0,0,0,3,0 4
4 0,0,3,1,0,0,3,0 3
4 0,0,3,0,1,0,3,0 3
4 0,0,3,0,2,0,3,0 4
4 0,0,3,0,3,0,3,0 1
0 0,0,4,0,2,0,4,0 2
4 0,0,4,2,1,2,4,0 4
0 0,1,0,0,1,2,0,0 2
0 0,1,0,2,1,2,0,0 2
0 0,1,0,2,3,2,0,0 3
0 0,1,0,3,4,3,0,0 2
0 0,1,2,2,2,1,0,0 2
0 0,1,4,1,0,2,0,0 3
0 0,1,4,1,0,3,0,0 3
0 0,1,4,1,1,4,0,0 3
3 0,1,0,2,1,2,0,0 3
3 0,1,0,3,2,3,0,0 4
3 0,1,4,1,0,3,0,0 3
4 0,1,1,2,1,2,1,0 4
0 0,1,0,0,2,0,2,0 2
0 0,1,2,0,2,3,2,0 2
0 0,1,4,1,0,2,2,0 3
0 0,1,4,1,1,2,2,0 3
1 0,1,0,1,0,1,2,0 1
2 0,1,0,0,2,2,2,0 3
2 0,1,2,1,0,0,2,0 2
0 0,1,0,0,3,4,3,0 4
0 0,1,4,1,0,0,3,0 3
0 0,1,4,1,4,4,3,0 3
1 0,1,4,1,0,0,4,0 3
0 0,2,0,0,3,2,0,0 3
0 0,2,0,0,2,3,0,0 2
0 0,2,1,2,0,3,0,0 2
0 0,2,2,0,4,2,0,0 4
1 0,2,1,2,1,2,0,0 2
2 0,2,0,2,0,2,0,0 3
2 0,2,0,2,1,2,0,0 2
2 0,2,0,2,2,2,0,0 3
2 0,2,0,3,1,3,0,0 2
2 0,2,0,0,2,3,0,0 3
2 0,2,2,1,2,2,0,0 3
2 0,2,2,0,2,3,0,0 3
3 0,2,0,2,1,2,0,0 3
3 0,2,0,3,4,3,0,0 4
3 0,2,1,2,0,3,0,0 3
3 0,2,1,2,0,4,0,0 3
4 0,2,0,2,2,4,0,0 1
4 0,2,2,2,0,3,0,0 4
4 0,2,2,0,0,4,0,0 2
4 0,2,2,2,0,4,0,0 2
2 0,2,1,2,0,0,1,0 2
2 0,2,2,2,0,0,1,0 2
0 0,2,0,0,4,0,2,0 2
0 0,2,2,1,3,0,2,0 2
0 0,2,3,2,0,2,2,0 2
1 0,2,0,0,4,1,2,0 3
1 0,2,2,1,1,0,2,0 2
2 0,2,0,2,0,0,2,0 2
2 0,2,0,0,2,0,2,0 2
2 0,2,0,2,0,4,2,0 1
2 0,2,1,2,0,0,2,0 3
2 0,2,2,0,2,0,2,0 2
2 0,2,2,2,2,3,2,0 2
2 0,2,2,0,3,3,2,0 2
2 0,2,3,2,0,0,2,0 2
2 0,2,3,0,3,3,2,0 2
3 0,2,1,2,0,0,2,0 2
3 0,2,1,2,0,1,2,0 3
0 0,2,0,3,1,0,3,0 2
0 0,2,0,0,3,4,3,0 1
0 0,2,2,2,0,0,3,0 2
0 0,2,3,0,3,4,3,0 1
2 0,2,1,2,0,0,3,0 3
2 0,2,1,2,0,3,3,0 3
3 0,2,0,2,1,0,3,0 2
4 0,2,1,4,0,2,3,0 3
0 0,2,0,0,4,2,4,0 2
0 0,2,2,2,4,0,4,0 4
2 0,2,2,0,2,0,4,0 1
3 0,2,0,3,0,0,4,0 3
3 0,2,1,2,0,2,4,0 3
4 0,2,1,0,2,1,4,0 3
0 0,3,0,0,0,3,0,0 3
0 0,3,0,3,4,3,0,0 4
3 0,3,0,0,0,3,0,0 2
3 0,3,0,3,4,3,0,0 4
3 0,3,2,3,2,3,0,0 1
0 0,3,4,3,0,0,1,0 1
2 0,3,4,3,0,2,1,0 2
4 0,3,1,2,1,2,1,0 4
1 0,3,1,3,0,0,2,0 2
3 0,3,1,3,0,0,2,0 2
3 0,3,4,3,0,0,2,0 4
0 0,3,1,1,1,0,3,0 2
0 0,3,1,0,2,0,3,0 2
0 0,3,3,3,3,3,3,0 1
1 0,3,0,4,2,0,3,0 1
2 0,3,1,3,0,0,3,0 1
3 0,3,0,3,0,0,3,0 2
3 0,3,4,3,0,0,3,0 4
4 0,3,2,3,0,2,4,0 4
0 0,4,3,0,3,4,0,0 2
2 0,4,1,2,2,2,1,0 2
4 0,4,1,2,1,2,1,0 4
2 0,4,0,0,2,0,2,0 1
2 0,4,2,4,0,0,2,0 3
0 1,0,1,0,1,0,1,0 1
4 1,0,1,2,1,2,1,0 4
0 1,0,2,0,2,0,2,0 2
1 1,0,2,0,1,0,2,0 1
1 1,0,3,0,1,0,3,0 1
1 1,0,3,0,2,0,3,0 1
2 1,1,0,3,1,0,4,0 3
2 1,2,2,0,2,2,1,0 4
2 1,2,1,0,2,2,2,0 4
0 1,3,0,1,3,3,1,0 1
0 1,3,3,0,3,3,1,0 3
0 1,3,0,1,3,1,3,0 1
4 1,4,0,4,1,0,3,0 3
0 2,0,2,2,2,0,2,0 4
1 2,0,2,0,2,0,2,0 1
1 2,0,2,0,3,0,2,0 1
1 2,0,4,0,4,0,2,0 2
2 2,0,2,2,2,0,2,0 1
2 2,0,4,0,4,0,2,0 2
3 2,0,2,0,2,0,2,0 2
0 2,0,3,0,2,0,3,0 3
1 2,0,3,0,2,0,3,0 1
0 2,0,4,4,0,4,4,0 2
0 2,2,2,2,2,2,2,0 1
0 2,2,0,2,2,0,3,0 3
0 2,2,3,0,3,4,3,0 1
3 2,2,3,2,2,0,3,0 1
0 3,0,3,0,3,0,3,0 3
1 3,0,3,0,3,0,3,0 1
2 3,0,3,0,3,0,3,0 2
2 3,0,3,2,3,2,3,0 4
0 3,1,2,1,2,1,3,0 1
0 4,2,0,2,0,2,4,0 1
0 4,2,2,2,2,2,4,0 2
0 4,2,2,2,0,4,4,0 2
1 0,1,0,1,2,1,0,1 2
2 0,1,0,4,2,4,0,1 1
3 0,3,0,3,0,1,3,1 2
0 2,3,0,2,0,3,2,1 2
1 2,3,0,3,2,1,4,1 3
1 0,2,2,2,2,2,0,2 3
0 0,2,2,2,0,2,2,2 1
1 0,2,2,2,0,2,2,2 1
2 0,2,2,2,2,2,2,2 3
3 0,2,2,2,3,2,2,2 3
0 0,2,3,2,3,2,3,2 3
4 1,2,1,3,0,3,1,2 4
2 2,2,2,2,2,2,2,2 2
0 0,3,0,3,0,3,0,3 3
4 0,3,0,3,0,3,0,3 2
var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

Re: A 'life-emerging' INT rule?

Posted: July 28th, 2026, 11:12 pm
by NNlk05
R2INT wrote: July 17th, 2026, 9:00 pm *snip*
EDIT: First self-replication test. It almost creates an exact copy, but the operation is incomplete so the replicator is destroyed.
*snip*
Any more progress?

Re: A 'life-emerging' INT rule?

Posted: July 29th, 2026, 2:11 pm
by R2INT
The latest version I have currently has the ability to self-replicate, but the process interferes with the first replicator, leading to a collapse at about generation 30,000 for this starting configuration. The behavior of large random soups (1024x1024, 2048x2048) is still undefined.

Code: Select all

x = 51, y = 51, rule = EvoPhotons-pre
8.2B31.2B$8.2B31.2B3$9.2B29.2B$9.2B29.2B2$15.C3.C3.C3.C3.C3.C$2B13.D3.
D3.D3.D3.D3.D13.2B$2B2.2B9.C3.C3.C3.C3.C3.C9.2B2.2B$4.2B5.B27.B5.2B$10.
BAB25.BAB$11.B27.B3$7.CDC31.CDC$17.C15.C$16.CBC13.CBC$17.C15.C$7.CDC31.
CDC$46.AB3$7.CDC31.CDC$25.B$24.B.B$25.B$7.CDC31.CDC4$7.CDC31.CDC$17.C
15.C$16.CBC13.CBC$17.C15.C$7.CDC31.CDC3$11.B27.B$10.BAB25.BAB$4.2B5.B
27.B5.2B$2B2.2B9.C3.C3.C3.C3.C3.C9.2B2.2B$2B13.D3.D3.D3.D3.D3.D13.2B$
15.C3.C3.C3.C3.C3.C2$9.2B29.2B$9.2B29.2B3$8.2B31.2B$8.2B31.2B!
@RULE EvoPhotons-pre
@COLORS
0 0,0,0
1 255,255,0
2 0,191,0
3 191,0,255
4 255,255,255
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,0,0,0 0
0 0,0,0,4,0,0,0,0 2
0 0,0,0,0,1,0,0,0 1
0 0,0,0,4,2,0,0,0 3
0 0,0,0,3,3,0,0,0 1
0 0,0,0,2,4,0,0,0 1
0 0,0,0,3,4,0,0,0 1
0 0,0,0,3,1,1,0,0 2
0 0,0,0,1,2,1,0,0 1
0 0,0,0,3,3,1,0,0 4
0 0,0,0,1,4,1,0,0 3
0 0,0,0,2,4,1,0,0 4
0 0,0,0,2,2,2,0,0 2
0 0,0,0,4,2,2,0,0 2
0 0,0,0,3,3,2,0,0 3
0 0,0,0,4,3,2,0,0 3
0 0,0,0,3,4,2,0,0 4
0 0,0,0,4,4,2,0,0 3
0 0,0,0,3,1,3,0,0 3
0 0,0,0,3,2,3,0,0 2
0 0,0,0,4,2,3,0,0 3
0 0,0,0,3,3,3,0,0 3
0 0,0,0,4,4,3,0,0 2
0 0,0,0,4,3,4,0,0 2
0 0,0,0,4,4,4,0,0 3
0 0,0,1,1,1,0,0,0 2
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1 0,0,3,0,2,1,2,0 1
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1 0,0,4,0,4,1,2,0 3
1 0,0,4,0,2,2,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,2,0,0,2,0 2
2 0,0,2,2,1,0,2,0 3
2 0,0,2,0,2,0,2,0 2
2 0,0,2,3,3,0,2,0 1
2 0,0,2,0,4,0,2,0 1
2 0,0,2,2,2,1,2,0 2
2 0,0,2,2,0,2,2,0 2
2 0,0,2,4,0,2,2,0 2
2 0,0,2,3,2,2,2,0 2
2 0,0,2,4,2,2,2,0 3
2 0,0,2,3,0,3,2,0 2
2 0,0,3,0,0,0,2,0 2
2 0,0,3,2,4,0,2,0 1
2 0,0,3,0,0,1,2,0 2
2 0,0,3,2,0,2,2,0 2
2 0,0,3,0,4,2,2,0 2
2 0,0,4,0,0,2,2,0 3
2 0,0,4,2,0,2,2,0 1
3 0,0,2,0,0,0,2,0 2
3 0,0,2,3,0,0,2,0 2
3 0,0,2,1,4,1,2,0 3
3 0,0,2,2,1,2,2,0 2
3 0,0,2,2,3,2,2,0 3
3 0,0,3,2,1,1,2,0 4
3 0,0,3,0,0,2,2,0 3
4 0,0,2,0,0,0,2,0 4
4 0,0,3,0,0,0,2,0 1
4 0,0,4,0,2,0,2,0 3
0 0,0,3,3,0,0,3,0 3
0 0,0,3,0,2,0,3,0 2
0 0,0,3,4,3,0,3,0 1
0 0,0,3,0,4,0,3,0 2
0 0,0,3,1,3,1,3,0 2
0 0,0,3,1,4,1,3,0 3
0 0,0,4,0,0,4,3,0 2
1 0,0,3,0,0,0,3,0 4
1 0,0,3,0,3,0,3,0 1
2 0,0,3,2,0,2,3,0 1
2 0,0,4,1,0,1,3,0 1
3 0,0,3,3,0,0,3,0 1
3 0,0,3,2,0,2,3,0 1
3 0,0,3,3,0,3,3,0 3
3 0,0,4,0,0,0,3,0 1
3 0,0,4,0,2,1,3,0 3
4 0,0,3,0,0,0,3,0 4
4 0,0,3,1,0,0,3,0 3
4 0,0,3,0,1,0,3,0 3
4 0,0,3,0,2,0,3,0 4
4 0,0,3,0,3,0,3,0 1
4 0,0,4,0,2,0,3,0 1
0 0,0,4,0,2,0,4,0 2
4 0,0,4,2,1,2,4,0 4
0 0,1,0,0,2,1,0,0 4
0 0,1,0,0,1,2,0,0 2
0 0,1,0,2,1,2,0,0 2
0 0,1,0,2,3,2,0,0 3
0 0,1,0,3,3,3,0,0 1
0 0,1,0,0,4,3,0,0 2
0 0,1,0,3,4,3,0,0 2
0 0,1,0,0,0,4,0,0 2
0 0,1,1,0,0,2,0,0 3
0 0,1,1,3,0,2,0,0 1
0 0,1,2,2,2,1,0,0 2
0 0,1,3,0,3,4,0,0 2
0 0,1,4,1,0,2,0,0 3
0 0,1,4,1,0,3,0,0 3
0 0,1,4,1,1,4,0,0 3
1 0,1,1,0,0,2,0,0 2
3 0,1,0,2,1,2,0,0 3
3 0,1,0,3,2,3,0,0 4
3 0,1,4,1,0,3,0,0 3
0 0,1,3,0,3,3,1,0 1
1 0,1,0,3,3,0,1,0 1
3 0,1,1,0,3,0,1,0 3
4 0,1,1,2,0,2,1,0 4
4 0,1,1,2,1,2,1,0 4
0 0,1,0,0,2,0,2,0 2
0 0,1,1,0,0,2,2,0 3
0 0,1,2,2,2,0,2,0 3
0 0,1,2,0,2,3,2,0 2
0 0,1,3,0,2,0,2,0 2
0 0,1,4,1,0,2,2,0 3
0 0,1,4,1,1,2,2,0 3
1 0,1,0,1,0,1,2,0 1
2 0,1,0,0,2,2,2,0 3
2 0,1,2,1,0,0,2,0 2
3 0,1,2,3,2,3,2,0 1
0 0,1,0,0,3,4,3,0 4
0 0,1,2,0,3,4,3,0 2
0 0,1,4,1,0,0,3,0 3
0 0,1,4,1,4,4,3,0 3
1 0,1,2,0,2,2,3,0 2
1 0,1,4,1,0,0,4,0 3
0 0,2,0,3,0,2,0,0 3
0 0,2,0,0,3,2,0,0 3
0 0,2,0,0,2,3,0,0 2
0 0,2,0,0,3,4,0,0 2
0 0,2,1,2,0,3,0,0 2
0 0,2,2,0,4,2,0,0 4
0 0,2,2,2,0,3,0,0 1
1 0,2,0,0,2,3,0,0 4
1 0,2,1,2,1,2,0,0 2
1 0,2,1,0,4,3,0,0 4
2 0,2,0,2,0,2,0,0 3
2 0,2,0,2,1,2,0,0 2
2 0,2,0,2,2,2,0,0 3
2 0,2,0,3,1,3,0,0 2
2 0,2,0,0,2,3,0,0 3
2 0,2,0,2,3,4,0,0 1
2 0,2,1,0,1,2,0,0 2
2 0,2,2,1,2,2,0,0 3
2 0,2,2,0,0,3,0,0 1
2 0,2,2,0,2,3,0,0 3
3 0,2,0,2,1,2,0,0 3
3 0,2,0,2,0,3,0,0 1
3 0,2,0,3,4,3,0,0 4
3 0,2,1,0,1,2,0,0 3
3 0,2,1,2,0,3,0,0 3
3 0,2,1,2,0,4,0,0 3
3 0,2,2,3,2,3,0,0 4
3 0,2,2,0,2,4,0,0 1
4 0,2,0,2,2,4,0,0 1
4 0,2,2,2,0,3,0,0 4
4 0,2,2,3,2,3,0,0 1
4 0,2,2,0,0,4,0,0 2
4 0,2,2,2,0,4,0,0 2
4 0,2,2,0,2,4,0,0 2
0 0,2,1,2,0,0,1,0 1
0 0,2,1,1,4,1,1,0 2
1 0,2,2,0,1,1,1,0 3
2 0,2,0,0,3,0,1,0 1
2 0,2,1,2,0,0,1,0 2
2 0,2,2,2,0,0,1,0 2
2 0,2,4,0,4,1,1,0 1
3 0,2,0,0,3,3,1,0 1
4 0,2,0,0,2,0,1,0 2
0 0,2,0,2,2,0,2,0 1
0 0,2,0,0,4,0,2,0 2
0 0,2,2,1,3,0,2,0 2
0 0,2,2,0,0,4,2,0 3
0 0,2,3,2,0,2,2,0 2
0 0,2,4,0,3,1,2,0 2
1 0,2,0,0,4,0,2,0 3
1 0,2,0,0,4,1,2,0 3
1 0,2,2,1,1,0,2,0 2
1 0,2,2,1,4,1,2,0 2
1 0,2,4,0,3,0,2,0 2
2 0,2,0,2,0,0,2,0 2
2 0,2,0,0,2,0,2,0 2
2 0,2,0,2,2,0,2,0 4
2 0,2,0,2,0,4,2,0 1
2 0,2,1,2,0,0,2,0 3
2 0,2,2,0,2,0,2,0 2
2 0,2,2,2,2,3,2,0 2
2 0,2,2,0,3,3,2,0 2
2 0,2,3,2,0,0,2,0 2
2 0,2,3,0,3,3,2,0 2
2 0,2,4,2,0,0,2,0 3
3 0,2,1,2,0,0,2,0 2
3 0,2,1,2,0,1,2,0 3
4 0,2,3,0,0,2,2,0 1
0 0,2,0,2,0,0,3,0 1
0 0,2,0,0,3,4,3,0 1
0 0,2,1,0,3,2,3,0 2
0 0,2,2,2,0,0,3,0 2
0 0,2,2,0,4,0,3,0 1
0 0,2,3,0,3,4,3,0 1
1 0,2,0,3,3,0,3,0 3
2 0,2,0,2,0,0,3,0 1
2 0,2,1,2,0,0,3,0 3
2 0,2,1,2,0,3,3,0 3
2 0,2,2,0,2,0,3,0 2
3 0,2,0,2,1,0,3,0 2
4 0,2,0,4,0,2,3,0 3
4 0,2,1,4,0,2,3,0 3
0 0,2,0,0,4,2,4,0 2
0 0,2,2,2,4,0,4,0 4
2 0,2,2,0,2,0,4,0 1
3 0,2,0,3,0,0,4,0 3
3 0,2,1,2,0,2,4,0 3
4 0,2,1,0,2,1,4,0 3
0 0,3,0,0,0,3,0,0 3
0 0,3,0,3,4,3,0,0 4
0 0,3,2,0,2,3,0,0 3
0 0,3,2,0,2,4,0,0 4
2 0,3,0,3,1,3,0,0 2
2 0,3,0,0,1,4,0,0 3
3 0,3,0,0,0,3,0,0 2
3 0,3,0,3,4,3,0,0 4
3 0,3,2,3,2,3,0,0 1
0 0,3,4,3,0,0,1,0 1
2 0,3,1,0,1,1,1,0 1
2 0,3,4,3,0,2,1,0 2
3 0,3,1,1,3,1,1,0 1
4 0,3,1,2,1,2,1,0 4
0 0,3,0,0,2,2,2,0 2
0 0,3,3,1,1,0,2,0 1
1 0,3,1,3,0,0,2,0 2
1 0,3,3,1,3,0,2,0 4
2 0,3,0,0,2,0,2,0 4
2 0,3,0,2,0,2,2,0 3
2 0,3,0,0,2,2,2,0 3
2 0,3,1,3,0,0,2,0 2
2 0,3,2,2,2,2,2,0 2
3 0,3,1,3,0,0,2,0 2
3 0,3,4,3,0,0,2,0 4
0 0,3,0,1,2,1,3,0 2
0 0,3,2,4,1,0,3,0 2
2 0,3,1,3,0,0,3,0 1
3 0,3,0,3,0,0,3,0 2
3 0,3,4,3,0,0,3,0 4
2 0,3,2,0,2,0,4,0 4
2 0,3,2,3,0,2,4,0 4
4 0,3,2,3,0,2,4,0 4
0 0,4,3,0,3,4,0,0 2
2 0,4,1,2,2,2,1,0 2
4 0,4,1,2,1,2,1,0 4
0 0,4,0,4,0,0,2,0 3
2 0,4,0,0,2,0,2,0 1
2 0,4,1,0,2,0,2,0 2
2 0,4,2,4,0,0,2,0 3
3 0,4,0,0,3,1,3,0 1
0 1,0,1,0,1,0,1,0 1
4 1,0,1,2,0,2,1,0 4
4 1,0,1,2,1,2,1,0 4
4 1,0,3,0,1,3,1,0 3
0 1,0,2,0,2,0,2,0 2
1 1,0,2,0,1,0,2,0 1
0 1,0,3,0,2,0,3,0 2
1 1,0,3,0,1,0,3,0 1
1 1,0,3,0,2,0,3,0 1
0 1,1,2,0,3,3,1,0 1
4 1,1,0,4,1,0,3,0 4
0 1,1,4,1,4,1,4,0 1
2 1,2,2,0,2,2,1,0 4
0 1,2,0,2,2,0,2,0 3
1 1,2,1,0,3,0,2,0 2
2 1,2,1,0,2,2,2,0 4
2 1,2,3,0,3,2,3,0 3
0 1,3,1,0,3,3,1,0 2
0 1,3,3,0,3,3,1,0 3
0 1,3,2,0,2,0,3,0 3
3 1,3,1,3,2,0,3,0 3
0 1,4,1,3,2,0,2,0 3
4 1,4,0,4,1,0,3,0 3
4 1,4,0,1,0,2,3,0 2
0 2,0,2,2,2,0,2,0 4
0 2,0,2,4,0,4,2,0 2
1 2,0,2,0,2,0,2,0 1
1 2,0,2,1,2,0,2,0 2
1 2,0,2,0,3,0,2,0 1
1 2,0,4,0,4,0,2,0 2
2 2,0,2,2,2,0,2,0 1
2 2,0,4,0,4,0,2,0 2
2 2,0,4,2,2,2,2,0 2
3 2,0,2,0,2,0,2,0 2
3 2,0,3,3,3,2,2,0 1
0 2,0,3,0,2,0,3,0 3
1 2,0,3,0,2,0,3,0 1
1 2,0,3,2,2,0,3,0 3
1 2,0,3,0,3,0,3,0 1
2 2,0,3,0,3,0,3,0 2
3 2,0,3,0,2,0,3,0 2
0 2,0,4,4,0,4,4,0 2
1 2,1,0,1,2,0,3,0 1
0 2,2,2,2,2,2,2,0 1
2 2,2,2,0,3,2,2,0 2
0 2,2,0,2,2,0,3,0 3
0 2,2,3,0,3,4,3,0 1
3 2,2,3,2,2,0,3,0 1
0 2,2,0,2,2,0,4,0 3
2 2,2,0,2,3,0,4,0 2
0 2,3,4,0,4,3,2,0 2
0 3,0,3,0,3,0,3,0 3
1 3,0,3,0,3,0,3,0 1
2 3,0,3,0,3,0,3,0 2
2 3,0,3,2,4,0,3,0 1
2 3,0,3,2,3,2,3,0 4
4 3,0,3,2,0,2,3,0 3
0 3,1,2,1,2,1,3,0 1
1 3,1,4,1,0,2,3,0 3
2 3,1,3,2,3,2,3,0 1
2 3,2,0,2,1,3,3,0 2
0 4,2,0,2,0,2,4,0 1
0 4,2,2,2,2,2,4,0 2
0 4,2,2,2,0,4,4,0 2
1 0,1,0,1,2,1,0,1 2
2 0,1,0,4,2,4,0,1 1
3 0,1,1,2,0,2,1,1 1
2 0,3,0,3,1,3,0,1 2
3 0,3,0,3,0,1,3,1 2
0 2,3,0,2,0,3,2,1 2
1 2,3,0,3,2,1,4,1 3
1 2,3,0,3,0,2,4,1 2
1 0,2,2,2,2,2,0,2 3
2 0,2,0,3,1,3,0,2 2
0 0,2,1,2,1,2,1,2 2
0 0,2,1,4,2,3,1,2 3
0 0,2,2,2,0,2,2,2 1
1 0,2,2,2,0,2,2,2 1
2 0,2,2,2,2,2,2,2 3
3 0,2,2,2,3,2,2,2 3
0 0,2,3,2,3,2,3,2 3
0 0,3,4,3,0,2,1,2 1
2 0,3,1,3,0,2,2,2 2
0 1,2,1,2,1,2,1,2 2
4 1,2,1,3,0,3,1,2 4
2 2,2,2,2,2,2,2,2 2
0 0,3,0,3,0,3,0,3 3
1 0,3,0,3,0,3,0,3 4
4 0,3,0,3,0,3,0,3 2
0 1,3,1,3,1,3,1,3 1

var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

Re: A 'life-emerging' INT rule?

Posted: August 1st, 2026, 4:08 am
by Ohhhhhhhhh
R2INT wrote: July 29th, 2026, 2:11 pm The latest version I have currently has the ability to self-replicate, but the process interferes with the first replicator, leading to a collapse at about generation 30,000 for this starting configuration. The behavior of large random soups (1024x1024, 2048x2048) is still undefined.
...
This is fantastic! I believe the construction is not far from some trivial modification to make it self-replicative. So if we are trying to rulegolf an INT or generally more 'basic' rule for this we need to achieve the following goals:
1. simple stable splitter (which gives quite some options as they are recognised in many construction rule threads)
2. ships of 2 different speeds in same direction (also trivial to golf, orthogonal preferred)
3. simple splitter loop emerging pattern, similar to 4-blinkers and 4-beehives in Life? But forms a square shape. This is really hard to golf as there are likely no past investigation on pattern generating methuselahs in these rules.
4. natural construction arm recipe. This is the hardest of all. Perhaps either still life constellation or simple methuselahs like goal 3.
I know its probably answered in some other threads, but does anyone know a simple stable splitter with a large rule range for it to be present? We can probably start from that.

Also some trivial finds by me:
This rule (B2n3acein4eiknqtw/S02aen3aikr4aeijwy5iy6cn) provides a stable 180 dot reflector for T. Nothing very noticable apart from that, as construction is not rich at all in this specific variation. The reflect reaction has a great rule range though.

Code: Select all

#CXRLE Pos=-60,-131
x = 659, y = 181, rule = B2n3acein4eiknqtw/S02aen3aikr4aeijwy5iy6cn
655b2o$655b2o$658bo7$657bo$656b3o4$71bo$bo9bo9b2o8b2o8b2o27b3o7b3o$3o
7b3o7b4o6b4o6b4o27bo8b3o$221bo$10bo19bo9bo2bo$211bo9bo2$201bo9bo9bo$
647bo$191bo9bo9bo9bo$597b2o5b2o11b2o3bo8b2o19bo$181bo9bo9bo9bo9bo375b
2o5b2o11b2o12b2o3b2o10bo$582b2o52b2o$161bo9bo9bo9bo9bo9bo9bo349b2o9b2o
$151bo228bo181b2o7b2o$141bo29bo9bo9bo9bo9bo9bo138bo173bo8b2o9b2o6b2o
27b2o$260bobo108bo2bo16bobo8bobo8bobo127b2o9b2o35b2o$141bo9bo9bo9bo9bo
9bo9bo9bo9bo8bo9bobo7bobo16bo10b2o8bo9b2o8b2o8b2o8bo2bo6bo8bo3bo7bo6bo
12bo42bo4bo8bo16bo10bo7bo6bo2bo6bo3bo5bo4bo4bobobo5bo9bo9bo9bo9bo9bo9b
o13bo52bo$280b2o18b2o8b2o8b2o98bo10bo9bo9bo9bo62bo108bo13b3o$108b3o
179bo49bo2bo288b3o$94b3o12bo141bo9bo$95bo2$95bo13bo31bo9bo9bo9bo9bo9bo
9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo10bo10bo10bo6bo9bo9bo9bo9bo9bo9bo9bo9bo
9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo19bo$94b3o11b
3o29b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o8b
3o8b3o8b3o4b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o17b3o4$323b3o$95bo
227bobo$94bobo227bo308bo$94b3o535b3o4$95bo$94b3o524bo$620b3o4$33b2o$
33b2o598bo$20b2o610b3o$20b2o$621bo$620b3o3$20b2o7b2o$19b4o5b4o52$110bo
9bo8bobo$90bo8b3o6b5o5bobobo4b2o3b2o$49bo9bo9bo9b3o7b3o6b5o5b2ob2o4b2o
3b2o6bo7bobobo$68b3o8b3o6b2ob2o5b2ob2o5b2ob2o4bob3obo3bo5bo3bo5bo$49bo
8b3o7b3o8b3o7b3o16bo3bo17bo170bo$48b3o7bobo19bo8b3o7b3o7bobo18bo119b3o
47b3o48bo$59bo40bo8b3o7b3o7bobo118b3o47b3o47b3o47b3o$120bo8b3o7b3o159b
o49bo48bobo$140bo140bo118b3o$230b3o47b3o48bo48b3o$230b3o47b3o47b3o47bo
bo$281bo49bo48b3o2$231bo19bo29bo19bo29bo19bo29bo19bo$230b3o17b3o27b3o
17b3o27b3o17b3o27b3o17b3o8$281bo$230b3o47b3o18bo29bo48b3o$230b3o17b3o
27b3o17b3o27b3o18bo28bobo$250b3o28bo18b3o28bo18b3o27b3o17b3o$301bo49bo
48bobo$400b3o$231bo49bo49bo49bo$230b3o47b3o47b3o47b3o4$251bo49bo49bo
49bo$250b3o47b3o47b3o47b3o2$281bo$230b3o47b3o48bo48b3o$230b3o47b3o47b
3o47bobo$281bo49bo48b3o4$231bo18b3o28bo49bo49bo$230b3o17b3o27b3o47b3o
47b3o17b3o$400bobo$400b3o4$281bo$230b3o47b3o$230b3o47b3o$251bo29bo119b
o$250b3o147b3o2$331bo$330b3o$231bo49bo49bo$230b3o47b3o4$331bo$330b3o!
Wait, I was just inspired by a 180 reflector. If we golf a small ship which 'passes through' when hitting each other on the head, and make a splitter with 0 (same) and 180 (opposite) emitting directions, we would only need 2 such splitters on the same x or y-axis! In the dot case this is pretty common, as you can run a soup and often see a T bouncing between 2 dots in the rule above. Therefore we potentially avoids goal 3, and even makes the common emergence more variable (the dots can be any distant while sufficiently far apart). 4 is still pending ideas, so please if you have read this thread till here give yours!

Edit: feel free to claim or modify the rule above if you find it a good golfing initiative, or any other useful reactions.
Edit 2: fixed format.

Re: A 'life-emerging' INT rule?

Posted: August 1st, 2026, 11:28 pm
by Ohhhhhhhhh
This is almost good:

Code: Select all

#CXRLE Pos=-36,-56 Gen=0
x = 89, y = 35, rule = B2e3eijn4ir5y6ai/S1e2-kn3r4a5q
33bo12bo$32b3o10b3o3$46bo$32b3o10bobo$33bo17$obo$bo84bo$26bo9bo9bo9bo
9bo8b3o7bobo$26bo9bo9bo9bo8bobo7bobo6b2ob2o$bo53bobo8bo8bobo6b5o$3o33b
o8b3o7bobo7b3o7bobo8bo$25b3o7bobo8bo29bo8b3o$26bo3$3o$bo!
I still need a bit of adjustment to make the domino return to its original position. The passthrough also restricts the Ts to be at the same phase mod 4, which might cause issues for a construction recipe. Domino is quite uncommon compared to duplet. I will edit this post later if I find a stable reaction.

Edit 1: This gun is a byproduct of my rulegolfing. Does not seem to be too useful anyway.

Code: Select all

x = 3, y = 6, rule = B2e3eijn4cir5eqy/S1e2-kn3kr4ry5c6ai
bo$bo3$bo$obo!
Edit 2: I didn't manage to get any stabilized improvement on the splitter, so I added a few transitions and enriched the rule, with the following reaction tables:

Code: Select all

x = 737, y = 575, rule = B2e3eijnq4ir5y6ai/S1e2-k3jr4a5q
28bobo$29bo5$21bo$22bo$21bo19$33bo$32bo$33bo$23bo$22b2o$23bo3$602bo31b
2o34bo33b2o$601b2o32bo34b2o32bo2$596bo32bo35bo33bo$597bo32bo35bo33bo$
596bo32bo35bo33bo15$28bo$27b2o2$22bo$23bo$22bo$602bo31b2o34bo33b2o$
601b2o32bo34b2o32bo$596bo32bo35bo33bo$597bo32bo35bo33bo$596bo32bo35bo
33bo14$5bo$5b2o$6bo$o$bo$o249bo32bo39bo$239bo9bo23bo8bo30bo8bo$240bo9b
o23bo8bo28b2o9bo$239bo33bo39bo2$602bo31b2o34bo33b2o$564bo31bo4b2o26bo
5bo29bo4b2o27bo4bo$489bo35bobo35b3o31bo32bo35bo33bo$488b3o35bo69bo32bo
35bo33bo$452bo$385bo30bobo32b3o$384b3o30bo$377bo31bo34bo36bo36bo37bo$
378bo31bo34bo36bo36bo37bo$26bobo348bo31bo34bo36bo36bo37bo$26b2o2$21bo$
22bo$21bo4$250bo32bo39bo$249bo32bo39bo$239bo10bo22bo9bo29bo9bo$240bo
33bo37b2o$239bo33bo39bo8$596bo5bo26bo4b2o29bo4bo28bo4b2o$597bo3b2o27bo
4bo30bo3b2o28bo3bo$596bo32bo35bo33bo11$250bo32bo39bo$249bo32bo39bo$
250bo32bo39bo$239bo33bo39bo212bo36bobo$240bo33bo37b2o174bobo34b3o36bo$
239bo33bo39bo175bo$417bo33bobo$384bobo29b3o33bo$385bo$94bo72bo$94bo33b
o37bo210bo31bo34bo36bo36bo37bo$89bo39bo31bo39bo4b2o170bo31bo34bo36bo
36bo37bo$90bo32bo38bo39bo174bo31bo34bo36bo36bo37bo$89bo34bo36bo39bo$
123bo19$94bo72bo38b2o$89bo4bo33bo32bo4bo34bo$90bo32bo5bo32bo39bo$89bo
34bo36bo39bo$123bo17$206b2o2$161bo5bo33bo$89bo4bo28bo4bo33bo3bo35bo$
90bo3bo29bo4bo31bo39bo$89bo33bo7$460bobo31b2o39bobo29b2o$304bo156b2o
30bobo39b2o30bobo$303bo9b2o$303b2o8bo142bo32bo40bo31bo$280bo20b3o7b3o
143bo32bo40bo31bo$240bo9bo9bo8b2o8b2o8b2o9bo10bo2bo141bo32bo40bo31bo$
239bobo7bo10bo8bo9bo9bobo16$460bobo31b2o39bobo29b2o$461b2o30bobo39b2o
30bobo$456bo32bo40bo31bo$457bo32bo40bo31bo$456bo32bo40bo31bo4$250bo11b
3o$249bobo10bobo$250bo11$173bobo10bobo$174bo12bo2$174bo11b3o$173bobo
11bo272bobo31b2o39bobo29b2o$456bo4b2o26bo3bobo34bo4b2o25bo4bobo$457bo
32bo40bo31bo$456bo32bo40bo31bo15$142bo$141b3o73bo8b3o$167bo9bo9bo9bo8b
3o7bobo8bo$167bo9bo9bo8bobo7bobo6b2ob2o5bo3bo$186bobo8bo8bobo6b5o6bobo
$141bobo23bo8b3o7bobo7b3o7bobo8bo7b2ob2o$142bo23bobo8bo29bo8b3o7bobo$
227bo68bo$296bo$142bo313bo3bobo26bo4b2o34bo4bobo24bo4b2o$141bobo313bo
3b2o27bo2bobo35bo3b2o26bo3bobo$456bo32bo40bo31bo$296bo$295bobo3$296bo$
295bobo59$631bo69bo$632bo33b2o32bo34b2o$631b2o34bo32b2o33bo$666bo69bo$
626bo34bo33bo34bo$627bo34bo33bo34bo$363b2o32b2o40b2o29b2o154bo34bo33bo
34bo$364b2o30b2o40b2o31b2o2$359bo32bo40bo31bo$360bo32bo40bo31bo$359bo
32bo40bo31bo16$631bo69bo$363b2o32b2o40b2o29b2o160bo33b2o32bo34b2o$364b
2o30b2o40b2o31b2o158b2o34bo32b2o33bo$359bo32bo40bo31bo160bo34bo4bo28bo
34bo5bo$360bo32bo40bo31bo160bo34bo33bo34bo$359bo32bo40bo31bo160bo34bo
33bo34bo18$631bo69bo$632bo33b2o32bo34b2o$626bo4b2o28bo5bo27bo4b2o28bo
4bo$363b2o32b2o40b2o29b2o155bo34bo3bo29bo34bo4bo$359bo4b2o26bo3b2o35bo
4b2o25bo5b2o153bo34bo33bo34bo$360bo32bo40bo31bo$359bo32bo40bo31bo17$
701bo$661bo4b2o27bo4bo29bo4b2o$662bo4bo28bo3b2o29bo3bo$661bo4bo28bo34b
o5bo4$359bo3b2o27bo4b2o34bo5b2o24bo4b2o$360bo3b2o27bo2b2o36bo3b2o26bo
4b2o$359bo32bo40bo31bo9$608bo$603bo5bo$604bo3b2o$603bo65$383bo69bo$
383b2o34bo32b2o33bo$384bo33b2o32bo34b2o$418bo69bo$378bo34bo33bo34bo$
379bo34bo33bo34bo$378bo34bo33bo34bo21$383bo69bo$383b2o34bo32b2o33bo$
384bo33b2o32bo34b2o$378bo34bo4bo28bo34bo5bo$379bo34bo33bo34bo$378bo34b
o33bo34bo18$383bo69bo$383b2o34bo32b2o33bo$378bo5bo28bo4b2o27bo4bo29bo
4b2o$379bo34bo3bo29bo34bo4bo$378bo34bo33bo34bo19$383bo69bo$378bo4b2o
28bo5bo27bo4b2o28bo4bo$379bo4bo29bo3b2o28bo3bo30bo3b2o$378bo34bo4bo28b
o34bo5bo!
The worth-noting collisions are put on the top-left as a brief view copy. I selected the ones with >=2 ships emitting out, and one 2T natural synthesis of a seemingly larger c/2 ship!
This rule (perhaps more for its rulespace) has engineering potential, but not very promising. It is also not really 'life-emerging' since dominos turned out to appear much less frequently than dots in my previous S0 T rule. I will be investigating on other rules soon, returning to the dots. However, this rule will be valuable if anyone interested help me find a spaceship with a non-c/2 orthogonal speed.

Edit 3: I am starting to use programs to help me rulegolf (or should we call this rulegrinding or ruteforcing??). The current issue seems like that dot and T-like 2*3 ships are just too unpromising to give big fruitful results. However with limited calcpower I don't think any larger ships & stators will do it efficiently or affordably. There do seems to have such strange near-done results emerging from a family where Ts almost emits before then tailburning to an unacceptable junk of mess.
My current skill and the EPE code I used might give results in the next few days. Of course, your participation would definitely speed up the find. In detail, since I'm doing the T-shape and a mini-V-shape thing, you can try U or big-Vs and basically anything larger as a ship. I still does not recommend changing the dot to anything bigger unless it somehow can naturally appear very often.

Re: A 'life-emerging' INT rule?

Posted: August 3rd, 2026, 7:29 am
by Ohhhhhhhhh
I shall double post here for a near-good rule satisfying goals 1 and 3, but is unfortunately expanding in soups:

Code: Select all

x = 71, y = 81, rule = B2cek3ceikn4ce5ey6ci7c/S01c2a3acenq4-aceqtz5j6i7e
bo14bobo$3o14bo$obo2$17bo2$bo$obo9$6bobo3b2o3bo2bo3b2obobob6o4b2ob2o2b
2ob2obobo2b5ob5o$7bobo2b2obob2o3b2o3b6o6b6ob5o2bobo2b2o2b3obob3o$7bo2b
ob2obo2bo2b3ob3o8b2ob6o3bo2b2ob5ob2obo2b2o$8bob2obo2bo2bobob2obob2o3bo
bob3o2bo2bobob2o5bo2bo3bob2ob3o$7bobobo4bo3b2ob5o9bo5b2ob4o7b2o2bob2ob
3obo$6b3o2bo7bo2bo2bo3b2obobob3obo3bobob2ob5o3b4o2bob2obo$6b3obob2obob
ob4o2b2o3bobo2b4ob3o2bob2o3bo2b3ob3o2bobobo$7b2ob2obob3o2b2ob5o4bo5b2o
2bo3bo6b2o2b3o2bo3b2obo$8b6o2b2ob2o3b7o7bob2o3b2obo2b2obob7o2b4o$6b2ob
ob2ob2o2b3obo2b4o3b7o3b5o2bob3o3b2o4bobo3b2o$7b4obob2o3bob2o4b4o5b3o2b
ob3obob4obob2o2b2ob2o3bo$7b2ob2ob6obob5o2b5obo4b3ob2o2b2o4b2o2bo5bobo$
7b3o2bo3bo3bobobo2bo2b2obo3b3o2b2obo2b4o2bob5ob2ob3o2bo$6bo2b2o3b2obob
2o2bo2bobo3bob2o2b3o2b4obo2bo6bo7bo$6bo5b4o6b2o2b2ob3o2bob2obob3obob3o
b2ob2o3b2ob4o4bo$6bo2bo3b2ob4o2b2o3bobo9b5o4b2o2bobob2ob4ob3ob3o$9bobo
bobo2bo4bob2o3bobo4bo2bobo2b3obo3b2o2b2o2b4ob2o2bo$8bob2obo2bob4o2bo4b
2obobobo2bob4o2b3o2b5o3b2o8bo$9bob2obo3b3o3b4o4bob2obo2bo2b2ob3o3b5o2b
2obo2b2o2b2o$6bob5ob6o4b3o3bobo4b2o2b2obo2b5o5b4ob2o2bo2bo$7b2o3bo2b2o
3b2obobobobo3b4obobo2bo2b2o5b2ob3o3b3o4b2o$6b3obob4ob2obob4obobobo5b3o
bo2b2obobo4bob2o3bo2b5obo$8bo2bo2b5o3b5obo3bob2obobo3b5obob2obo3b4ob2o
3bo$7b3obob3o2b4ob2o2b2ob3ob3o5b3obobobob5o2bob2ob3obobo$7bob4o5b2ob2o
3bo2b2o2b2ob3o3b2ob2ob2o7bob3ob3o2b2o$14bob3o2bo3b3ob2obobobo2b2ob3obo
2bo2b7o4b2o3bo$7bob4o2bob2obob2o2b2obo2b3o4b2o2bo2bob2o2bob2obob2ob3o
3bobo$7bob2o3bo3b3ob2obo2b4o3b2ob2obobobo4bobob2o2bob2obo3b2o$6b2obo2b
ob3obob2o2b3ob6o2bobobo3b2o2b4o3bo5bob2ob4o$6b2o2b3ob4ob2obo2bo3b3o3bo
2bobob2ob4ob6obobo3bo2bob2o$6b3ob3obo5b3ob5o4bobo2b6o2b2o2b4obo2bo2bo
4bo3bo$6b4o2bob6o3b4obo3b3ob2ob7ob4obob2o3bo4bo2b2obo$6bobob3ob5ob4o2b
3obob3o4bo5bo4b4o4bo2b3obo$8b2o7bo2bo4b2o3bo2b2obo2bo6b2o3b3o2bob2obob
o6bo$6bo2b2ob2obo2bob3ob6obo3b7obo3bobo3bob6o2b3obo$6bo3b2obo3b3ob4ob
5o3b2ob2obo3bob7o3bob2o2bo7bo$8b2obob2o3b3ob3obob2o2bo2b3obo2bo4bob3ob
ob2obo2bo2bob2obo$8bo2bob2obobobobo2b4o2bo2bob4o6b4o2bob3o8bo3bo$6bo2b
2o2bob4ob7o6b3obo3bo2bobo3bo2b2obo5bo2b2o2b2o$6b3o2b2o2bo3b3o2bo2bob3o
2b5ob4o2b3ob2ob2o2bob3obo6bo$6b5obobo3b7o2bo5b2o2b2obobo2b2o4b3o4bo4b
2o4b2o$7b2obob2obo3b5o3b8obo2b3ob2o2b2ob2o6b4o2b2obo2bo$8bob3o2b2o2bo
2bo3bo3b2ob4obob4ob4ob2obo2bo2bo2bobobo3bo$7b2obo5bobobob3o2b8ob4o2bob
obob2o2bob3o3b2o3b3ob2o$8bob4obo2b7o2bobobobo2b2o2bo2bob2ob2ob3o2bo2bo
b2o3b3obo$8bo3bobo2bo3b2ob2o4b4obob4obobo2b2obobob2obo3bob3ob2obo$6b4o
2bo3b3o2bo7b4obobo5b4ob2ob2obobo5b2ob2o2bobo$6bob2obob3ob2ob6o3b2obobo
b2obo3b2ob2ob6ob3o2b3o3bob2o$6b3o5b4o3b2o3b2o2bo2b2o3bob2obo2bo2b4o2bo
2b2o2bo3bo$8bob2o3b3o4bob3ob3o4bo4bobob2o2bobob4ob5ob2obo2bo$10bo2bobo
3b2obobo3bo2b4ob2ob4o2b2obob6ob2ob5o3b2o$8bobo2bo2bobo4b2obo2b5ob3o3b
2obob2o3b2ob2ob2ob3obo3bobo$8bo2bo2b3o4bobobobo3bo5b2ob3o2b4ob2ob7ob4o
3b3o$6b2ob3obob2obobo2bo2bo3b4o2b4ob4ob4ob2o2bob3o2b2o3b3o$8b3obob4obo
bobobo3bo4b3obo2b3o4b2ob3o2b2o2bob2ob4o$6bobo3b2o9bob2o2b3ob2ob2ob3o2b
3o3bo4bo2bo3b3o$8b2o2b5obobo2b2o2b3o3b4o3bo4b2o3b3o2bo2bo2bobobobobo$
6bob2o2bo5b2o2bobob3ob2o3b2ob2ob3o3b3o2bobo2b3obobo2bo$6bo16bobob2o2b
6ob2ob2obo3bo2b5o4bob5ob3o$6bo5b3o2b2ob2o2b3o3b3obob2ob2obo2bob2obo3b
4obo3b4obobo$7bo4b4obo2b2ob4o4b6obobobo3bob2ob3obo2b2obob5o$7bo2b2ob4o
2b2o2bo3bo6bob3ob2o2bo6bob3o4bob2obobo2bo$8bo2b3o2bob2o2b2o2bobobo2bo
2b2o2b2obo2bo2bobo2b3o2b3o2b3o2bo$8b3o2b4o3bobo2b2ob2ob6o3bob3ob2o4bo
3b6o4bob3o$8b2o2b2obo2bo3b2o2bob4ob2o3b8o2b2ob2o5b2o3b4o2b2o!
Can anyone please help me verify the rulespace for this rule, particularly if there are non-expanding versions of it?
This is just a temporary search for 10 mins on a specific resulting configuration for the splitter. I believe there are a lot more better rules out there.
The edits for this post will be about results from EPE and other searches for the ideal rule.

Edit 1 turns out to be that I posted the wrong rule, B2-ai3cein4e5ny6ci7c/S01c2an3aenq4ijknw6i7e which gives a 1-offset for the dot splitter. Fixed now to show a stable splitter instead.

Edit 2: I keyed in the wrong rulespace for searching T_T 1 hour wasted

Edit 3: Now the rulespace is correct, but it cannot produce anything meaningful at the moment as all 4 found solutions are expanding. Wish a good output tomorrow!

Edit 4: I am afraid that it does not produce anything seriously in the progression. Also, it does not fully exploit my CPUs and GPUs, is there a way to utilize more of my computer's hardware? Please PM me or reply below if you know, thanks!

Edit 5: It's finally not expanding, but shifts dot by 1:

Code: Select all

x = 275, y = 250, rule = B2-ai3eiqr4cekqy6c7e/S01c2an3en4eijkr5q6i7e
11bo$10b3o$10bobo$bo2$bo9bo$obo7bobo64$36b2ob2o8b4o4b2o3bobobob2o2bo5b
ob6obo4b2obobob4o3b2ob5obo3b5obo2b3ob2o4bobo4b3o2bo3b6o4b5obo2bo2bob2o
3bo3b3obob2ob3o2b3o5b3o2b3ob5o8b2o2bob2o2b4o2bo4b2o3b2obo2bobobob2ob3o
$36bo3bobobo2b4o2b2o8bob9obo4bobo2b2o2bo4bobo3b2ob2o3bo3b5o2b2o4b2ob2o
3bobo3b2o5bo2bo3b3ob2obob2ob2o6bo2b3o4bo2b2ob6obo4bob2ob2o2b3o2bob2o2b
7obo3bobo2b3o2b2o2b3obo3bo2b3o2bo2bob2obobo$37bob3ob2o2bobo2b3ob5o2b6o
2bob5o4b2obo3b7o2bo2b6obob2o3bo4bobo4b4obob3o3bo2bo2b2obo2b4o2b2o3b3o
2b2ob2ob2o2bob2o2b2o3b5ob2o5bo5bo2b3o2bo3bo2bob2ob2o2b5o4b2ob2obob5o3b
10obo3bobo$37b4o3b2o4b4o2b3o3b5o4b4o6bobo2b6o3bo2b7obo2bo2bobob2obo3bo
2b2ob2ob4ob2o2bo2bob2ob2o4b4obo4b3ob2ob4ob2obobobobo3b3o4b2ob2o3bob2o
3b2obo4bo4b3o3b2o6b7obobo2bo2bobob3ob3o3bob4o$37b2o2b3o2b7o6bobob2ob5o
2bo3bo3bo2b3ob2ob2o2bobo3b2ob2obo2b4o2b4obob4o6b4o2b2o2bob2obob2obobo
2bob2obob3obob3o6bob2obob3obo2b2ob8obob3obobo4bo3bobobo2bobob3ob2o2bo
3bob3obo3b3o3b3o5b3o$36b2o7bo7bobobo3bobob2ob4o2b2obobob3o2bob2ob4ob2o
2b3o2b4ob4ob3o4bo5b7o6b3obob2ob2ob4o5b2o4b2ob3ob3ob5o2b2obo4bo3b2ob2o
2b3ob2o2bobob2obob4o3bo3b4o2b6ob2ob4obo2bobo3bobob2o4bo$36b2ob3o4bobob
2obo2bo3bo3bob2o5b2ob4obo2bo5b2o3bo2b2o2b2o4b4obo4bobobo3bo2bob2ob2o2b
o8bob2ob3o4bo4bobobobo3b3o2b2obo3bob4obobo2b3o2bob2o2bob2ob2o3b4o6bo4b
2o3bo2b3obo2bob5o4b6obo2b3obo$36b2o2bob6obo2bo2bob2o8b4ob2o2bobobobobo
4bobob3o2b2ob5o2b2o2b2ob3ob2obobo2bo3b2ob3o2bo2bob2o7bo3b2o4b2obo3bo2b
o2b2o6b5o2b4obobo2b2o2b4o4b4o2bo3b2o4bo3b2ob3obo3bo3b2o2b2o2bob3o2b2ob
obobo$39bo3bo2bobo2b2o2b5o3bob2o2b2o11b3obo4bo4b3obob2o2bo2b4o2b3o5bo
3bob4ob2ob2ob2obob2obob2ob2o3bo5b4obo5b3o2b3o3bo2b3obo2bo6bo2bo2bo3bob
o3b5ob5obob2obo6bobo3b2obob3o3b2ob4o2bob3o$37bo6bobob3ob9obob3ob2ob3ob
o3b5obobo2b2obo2b2o6b7o3b6o4bo3bo2bob3o2b2o2b3ob2o2bob7o2b6o2b2obo2bob
o5bob5o4bobobo2bo2bob5o4bo3bo2b4o2bo4b3ob7ob2obobob4obobobo2bob2obo3b
2o$39b3obo2b3obo3bobo4bo3b3o3bob2o2b2ob2o2bob9obo2b2ob2obo4bobob5o4bo
3b7obobobob2obob5ob2obob3ob2o3bobo2b4ob4o2b2o2bo4b3o3b4o5b4o3b2o2bo2b
3ob3o3bo2bo2bo2bobob2ob3ob4o2bob3o3b2obobo4bo$36b2o2b4o2bobo5bobo3b3o
2bobobo2bob2ob4obo2bo3b2o3bobobob2ob4o6b5o2bo2b2o2bo2b4obo4b2ob3obo3b
3o4bob2o6b7o3b4ob6ob4ob2o2bobob3o6bo2bobo2bobobo5bobo4b2obo2b2obo4b2o
4b3o4bobo3bo$36bo4b2o2bo2b3ob2ob2ob2ob3ob2ob6obo2bob3o2b4o4bob4obo2bo
3bobobo2b2o4b2o4bob2obo2b2ob2obob2o3bo2bo2bobob4obobo3b4obob2ob3o2b2ob
o4b2o2bobob3o2bobobo5bobobobobo4bobob5obobob2o2bobo3b3o2bo2bob2ob2o3bo
bob2o$37bob4ob4ob2o3bob4obobobobo2b3o2bo2b2obo7bo2b2ob3obobo4bob4o2b5o
2b4obobo4bo2b2o4b2o5b3o2b4obo3b5obo2bo2b6ob7obobob3o4bo3bo2bo3bobo2bo
2bo2b2o2b2o2b5o2b3o2bo2bob3ob3ob2o3bobob2o4b4o$36bob2o3bo4bo2bo2b2o2b
4o2b2o2bo2b2obobob3ob5o6b3o2bobobob6o2bobo3bo4bobobobo2b2o4b4o2b2o2b5o
b3obobo2bob4obobobob2obo2bo2bob3o4b2ob2o2b2ob2o3b3o3b2o2b3o2bo4bo3b9ob
obo2bo4bo2bob4ob2o2b6o$38bo3b3o2bo4bobo2bobob4o3bo4b2o2bob2obo2bob2ob
4ob2obo2bo2b4o3bobo3bob2ob7ob3o2b3ob2o3bobo5b5obo3bo2bo5bobobo4bo2b5ob
3o3b5o3b2o2b4o3bo2b2obobo4bo4b2ob2o2bob6obobob3o3bo4bob2o2bob2obo$36b
10ob3obo2b3o7b2o3b8o2bo2bob2o2bob2obo6b4obobo4b4ob10o3b2ob3obo2bob4ob
4o5bo2b5o7bo3b2o5bob2obob3o2bob2obob2o2bob3o2bo2b4o6bobo2bo2bob2obo2bo
bo2b4obo3b2o2bob3ob3obobobo$38bob3ob3o2b3obo2bob2o2bo2bob2o2b4ob3o2b2o
2bobob2o2bo4bob4obo3b7obo5b2o3bob2o3b2ob3ob2ob2ob2o3bobob2ob2obo4bobob
2o2b2o3bo2bob2obob2o4bo2b2o2bob7obob2o4b3o5b2o3bobob3obo2bob2ob3ob2o2b
ob4o2b2ob2o$36b2obob2o2bob2o8b6ob5ob3o3b2obo4b2ob3obo2b2o3b3o2b7obobo
7bobo3bo2b3ob2ob3obob2o3bobo2bo2b3o3bo2bo3b3o2b2o3b2o2b3o4b2o2b2obo2b
2o3b3o2b4o2b2o3bobo2b2obo2bo4b2obo2bobobo2bo2b2o3bo2b2o4bobo2bo$37b2o
3b2obob3o4b2o2b2o3bo2bo2bo3bob6obo2bobob6ob2o2bo2b5ob2o2b2o3b3o2b2o2b
3ob2obob3o4b5o2b2ob4ob7o2b6ob3o6bobobo3bob6ob2o2b4o3bo2b2o5bo3b3o5bo3b
2ob3obo5bo2b2ob3ob3obo2bo3bobo$38b3o2b2obob3obo6b2obobobob2o2b2obo3bo
4bobo5bobobo3bob4obo5bo2b2o2bo2b2o3b4ob2o3bo3b5o4b2o2bob2obo2bo2bobobo
2b2o2bobob3ob2obobobobob2o5b2o2bo3b7obo3b4o4b2ob2ob4obobob2o3bob2ob3ob
o2bob4o2bob2o$36bobob2obo3b3o4bobo2bo2bo2b6ob3o2b5obobo2bob2o2bo2bo3b
2o4bo2b2o2b2o2bob2o4b4o3b2obob2obobobo5b4o2b2o2b5o4b2o2bo2bo3b3o2bob2o
bobo2bo2bobo6bo3b3ob2o2bob9o6bobo2bobobo3bob3o6b2obo4bobo$36b3ob4o3b3o
bo3bo5bob2o5b2o3b2o3bo3b4obo4b6obobo6b2obo2bo2bo5bo2b4obobo2b2ob2o2bob
o2bo2bob2obobo2b2o3b2o2bo2b2ob4ob2o2bob3o3bo4b4ob3o2b3o5bo3bo2bo3b2o2b
2o3b3ob2o3b2ob2obobo7bobo3bo2bobo$48b2o2bob2o2bo6bo3bo2bobo2b3o5bo3bo
2b7obo3b2o3b2obob2o4b3o6b2o4b3obob3ob5o2b6ob4o7bob2ob4ob3ob2o3bob4obob
ob4o3b2o2bo3b2o4b3obo11bob3ob3o3b3obobobobob3ob3o2bo2bo$36b2o3b3obob2o
bo2bo2b3o2bobo2b3ob2o2b3o2bobo3b4o3bobobo2b2o2bo4b4obo3bobo4b2o3bo2bo
4bob3obob2o2bo7b2ob3o4b2ob2o2b2ob2ob4o4bo5bo5bo2bob2o8bo3b2o2b2o2b2o2b
obobo2b2ob2ob6o2bobobo3b2o3b5obo2bo$37bobob3ob2ob5o2bo2bobobo2b2ob2o2b
2ob6ob7obob2ob2o2b2ob3o5b3ob2ob2ob4ob6ob2o2bo2bobob2ob5obobobo3bob4obo
3bo2b2o3bob2o2bo3bobobo3bo5bo2bobobo3bo4bo2b2obo2b3o2b5obo4b2o2b2o3bob
ob3obo3b2ob2ob2obo$37b3ob3obo3b3obo3b2obo4bo2bobo3bob3obob3obobo3b5obo
bob2o5bob7obob2o7bob4o3bob3o2bo2bo3b3o2bo3b3ob3obob4o3bobo5b4o2b2o3b2o
b9o3bob2o2b6ob2ob2o2bob2obo3b2o4bo2b2ob2o4b2o3b5obobo$36bo2b3obob2o2b
2ob2o3bob3ob4o4b11o6bo3b2o3b2o5bo5b2o2bo2bo2bo6b2o2bob5o2bob3obo3bo3bo
2bo3b2o4b6obobobob2ob3o3b2o3bo2bo2b2o2b2o3b3obo3b2ob2obo2b3obobo2b2ob
2o5b2o6b2o2bobo6b3o2bob2o$36bob2o3bobob3ob2obo3bo2bob3o2bobob3o4bo3bo
2bobo3b2ob3ob2obob2o3bobobo2bob2o2b2o2b4ob2ob2ob2o2bob2obobobob2o3b2o
2bobo2b6o2bobobob2o3b4o2bo2bo2bo2b2o3bobo6b2obob7ob2obobo2b4o2bo2bo3bo
bob5obo2b2o2b6obobo$36b4ob2ob2obobo3bo6bo4b5o4bo2b2o5bobob2ob2ob3ob3ob
5o2b2o3bo5b2obo2bo2bobobo2b2ob2obobobo7bo2bob2ob3obo4b7ob2o5b2o12b2o3b
2obobobo2b6ob3ob3obo4bobob2obobo2bo3b2o6bob2obobobob3obo$36bo2b6o2b2ob
ob3ob2o2bobo2b3ob3ob3obob3o2bob2obo4bo2b2ob2ob2o4bo3b2o4b2o3b4o2bobob
3o5b2o2bo2b4obobo2b4o5bo2b4o3bo4bo4bo2b5obob2o3b2o3bobobo2b2o3b5o3bobo
b3o6b2o4b2o2b2obo2bo2b3ob2o2bobo2bo$37b3o3b4ob2obo4bob3ob2o3bo2bobobo
2bob2ob2o2b2ob4ob2obo2bo3b2o3bo3b3o9b3o2bo2b2o2b2o3bo2bo2b2o2bo2bobo2b
obobo3b2ob2obobobo2b3o5b4o4bo3b2o3b2ob2ob2ob4obobob3o2b4obob2o2b3o3bob
2obob2ob2o2bo2bobo2b6o$40bobob3o2b2o2bob3o3bobobobo2b5o2b3obob4o2b3obo
b5o3b3ob2o2bo3b4o2b2o3b2o2bobobo2bobo2b2obobo2b2obo2bobob4o4b2obob2obo
2bo2b2o5b5obo4bob2o2b4o4b6ob4o2bob2ob2ob6o2bob2obo3bob5obob3obob3ob2o$
37b2o5bobobo3b2o4bobob5obobo2bob3o2bo2bo3b2ob2ob2ob2o3bob3ob2o2b3o2b2o
bob4o7b4ob4obob3ob2o2bo2b2obo4bobobobo2b2ob2ob2obo2b2o4bo2b2o2b2ob3o3b
o2b6o2bob2o3b2obob2ob9o3bob4obo2bo2b6obobob6o$37b2o3bob3o2bo2bobobob2o
2bo3bobo2b2o2b5obo4b3ob2ob2o2bo3b3o3b3obobobo3b2o2b3ob3ob2o2bo4bob2obo
2bo2b2ob3o5b2ob5o2b2obobo3b2o2bo5bobobob2o2bo2bo3bo3b2o2bobo2bo2b2obo
5b2ob4o2bob2obo4bobo2bob2o2bobobo4b2o$36bobo3bo6b3ob3o3bo5bobob2o3bo3b
5obobob2obo8bo3bob2o3b2o2b3o5bo3bob5o2bob7obo3b2o2b3ob3obob5ob2o6b4o2b
2obobobob3o3bo3b4o3b2obo2bob3o3b2o2b2ob6o3b2o2b2o3b2o6bob2o3bobo4b3o$
36bob3o7bo2b2o2bobob6o2b6o2b3obobo3b9o3bo3bobo8b2obob2o2bo3b2o7b5obo4b
o4b2o3b6obo3bo4bobo5bo2bo4bo5bo5bob3ob2ob3o6bo2bo4bobob3o5b2obo3bob3o
3bobob2ob2obo2b4obob2o$37bo2bo3b2o2b3o2bobob2obob2o2bobo7b2o2b2o3b3o2b
ob3o3bo2b3obo4b3o4b2o4b5o3bobo2b2ob3ob2o3bo4bobobob6obob3o4bobobobo6bo
5bobob2ob2o2bob2o2b3o2bo2bobo2b2ob3o2b2o2b2o2b4ob2o2bo2bobo2bobo4bobo
2bobobo$36b4o3bo3bob3ob3obob2o9b2ob4obob4o2b4o2bobo2b2ob4o2bobo3bobobo
b4ob4obo2b2obo2bo2b2ob3o3b5o9bo3b2obo2b2o6b5obo2bob3ob6obo2b6obobob3ob
o2bobob2o4bobo3bobob2obo5bobo2bo4bo2b2o4bobo$36b3ob2ob2o2b3o3bob3o5b4o
bo2bob4obobo2bob3o3b4ob2ob3o2bo4b3o6b2ob5ob3ob3obobo2bo4bobo6b2ob2obo
2b2ob3o3bo7bob2ob8o2bobo2b2o4bo2bob2o3b3o2b3o2b3o2bobo3bob6obo4b6o2bob
o4bo3b3o$36bo3b2obo2bobo5b2o4bobo2b2obo2bo2b2o2b2obob6ob2o2bob2o2bob2o
b2o3bobo3b5o2bo2b2obo2b3obobob2ob3obobo3b3ob9obo2bo5b2obo2bobo3bo2b5o
4b2o5b2o2b2o5b4obobobobo3bo6bo2bo6b2ob9o4b3ob3o$36b4ob2obo2bo3bobob2o
2bob3o2bo2b2obob7o3b3ob3o4b3o3b3o3b3obo6bob2o5b2ob2o4bo5b4obob2o3b2o2b
obo2b4ob2obobobo3b2o4b2ob5ob2obobo2b3ob2o3b2ob5ob4obo3bob2ob2o5b3ob3ob
o7b4obo2bo6b2o$36b3obo3bo2bo5b8ob2obob5o4bobo4b4o5b2ob5o2b3ob2o4b2o3bo
bob3o7bo3bo6b3o2bob4obobobo2bo5bo4b2ob2ob4ob4o2bo3b4o4b2ob6o2b2obobob
2o2bo3bo3b2o2b2ob2o2b2ob2o4bo2bo3bo3bob4ob3obo$36bo2b4ob3o3bob4o2bobob
3o2bobobo2bob2o3b2o2bob6o3b2obobob3o2b2ob2obo2bobobobo4bobobob2ob2obo
7b2o7b2ob2o3b2ob3obobo2bobo2bobobobob4o2b2obo2bob5ob2o4b2obo2b3obo2b3o
4bob2obo2bo4bobob4obob7o3b2ob2o$36b5ob2obobob4o3bo2b4o3b3obo7bob2o2bo
3b4o4b2o3bobob2obo3bobo2bo2bob3ob2obob3o2b2o4b2ob4obo2b3o2bo2b3obob3ob
3obo4b2o2b2ob4o3b2ob7ob2o2bo4b4o2bob2obo3b2ob2o2b4ob2ob2obobo3bo2b3ob
3o2bo5bobo$36b2o2b2obo2bo5bo3bo2bo2bo4b2ob2o5b4o6b2o3bo2b2ob2o3bo2b3o
3bobobob3o2b2o6b3o4bobo6bobob2o3b4obo2b3obo4b4o3b3obobob2ob2ob2o2bob2o
2b4obo3b4ob5ob4ob3o2b6obo2bob5o2bo3b3obob2obo4b2obo$36bo2bo2b3obobo4b
3o2bobob3o2b2ob2o2b2o3bo2b2o2b3ob4ob2o5bo2bo2b2ob2ob3o2bo2bo5b2obobobo
b3o2bobob4ob3obo4bo9b2o2bob2ob5obo2b3o4bob2obobob2o2bobo2b4ob3obob4ob
2obobo2bobo2bobob2o2b3o2bobo2bo3b4ob2ob2o$38b2o2bo2b5obob2o2b4ob2ob2o
2bobo3bo2bob4ob2o3bo4b3o3bob3obo4b2o4b5o7b2o4bo3bo5bob3ob3o9b3o2bobobo
3bobo3bo2bobobo2bo8b2o2b2o2b2obobo2b4obobob2o2b3obo3bo7b2o2b3o2bob3ob
2o2b4ob4o$39b3o3b5ob6o4b3o3b2o2b3o4bobo2b4ob4obo2bo2bo3b2ob2o3b2ob3ob
2o2b5o3b3ob2o6b6obob2o2b4ob2obobo2b3obo5b3o2b2o2bobo3bob3o3bo3bobo2b4o
2bobobo6b4obobo3bo2bob2o2bo2bo5b2obobobob2obobo$36bob4o3bob2obobo4b2ob
2ob2ob2ob3obob3obobo3b3obob6ob3o3bo4bob3obob5o4b5ob2ob3obob3obo2bo6bob
obo3bob2o2b3o3b3o2b2o3bobob2o3b3o2bob3obob2ob4obobo2b4obob3o6bo5b4o5b
6obobo6b3o2bo$37bob2ob2o2b2o5bob6ob3o2b3obob2ob3o2b2o5bo6bo2bobo2bo3b
3ob2o2bo8bob4o5bob4ob5o3bo3b2o7b4o3b2obob2ob2o4b5o2bob2o4b2o3bo4bobobo
bo2b8obobob2o2bob2obo6bob2ob3obo2bob6o3b3o$36bobob2o2bo3b4o2bo4bo2b2o
2b2o3b5obo10bo3bob2o3bobobo3bob2obo3b3obo2bo3bobobo6b2o4bobobo2b3o4bob
o4bobob3ob2o2bo3bobo2b2o4bo2b3o2bo4bo2b6o2b3o4bobo2b4o4bo4bob2ob3o3bo
2b3o3bo2bob3obo2bo$37b3o2bobo5b3o3b3o3bob3obo2b2o4bob2o4b2o2b2o2bo4b2o
bobobo2b2o2b2ob3o4bobo2b7ob2obo2b2obobob2o2b2o2bob2ob2o9bob5ob5o2b3obo
b3ob2o2b3ob2obobo2b4o4b3obo3bob3o5b3ob3o2b3ob4o5b3ob6o2b2o$37bob3o6b3o
b5o4bobo4b2o3bobo2bo8bo2bo2bo6bo3b5o7bo2b2ob3ob3ob2ob2o2bob2o2bo2bobo
3bo6bo2b2o4b2ob7obob3o3bob2obobo6bo2b2o2b2ob3o2b2o4b2o3bobobo2bobobo9b
2o2bob5ob4ob2obob5o$37b4obobo5bo3bo7b2ob4o9b2ob2obo2bobo3b2ob3o2bo2b5o
4b2ob2ob2obo2bobo4bob2o5bobob4o9b2o2bobo6bob3o2b2obo4bo2b2ob3ob2obobob
o3b2o3b2o4bo3b2o4b2o2bobo3bobob5o2bo4bob2obob4o2b2ob2obo$36b4obob4o2bo
bob2o3b2ob2ob2obo3b4ob3o2b3obob6obobobo2b5ob3obo2bob3ob2ob9o3b2o2bobob
o2bo5b4o2b3o3b2o3bob6obo4b5o3bob2o2bob3o5b2ob3obo3b3o2bobob2ob3o2bo11b
ob2ob3o3bo4b6obobo$37b6o3bo5b2o3bob2obob2ob2o2b2ob2o2bob2o4b6o4b5o2bo
3b3ob2o2bob6o2bo4bobo5bo2b2ob2o3bobo2b2obobo3b2obobobobob3ob2ob4obob4o
b7o2bobob2obobo2bo3b2ob2ob3obob5o3b2o2bo3bo3b4o4b2obo5b4ob3o$40bobob2o
3bo6b2o3b5o2bo6b3o3b2o3b2o2bo2bobob3obob2o3bo2bo2bo4bob2obob2o4bobo2bo
bobobobobob4ob2obob2obob2o2bo6b2obo3b3ob3o3bo4bobob2ob2o5bob4ob3ob3ob
2obo2b2o2bo2b4ob5obo2bo2b2o5bob4o3bo$38bo3bo2b2o2bo2b4ob3ob3ob3ob5o5b
2ob2o2b2obo3bobobobo2b6obobo4bo2b5o2bo2b4obo2bobo2b2o2b2ob2o3b4o5b2ob
4o2b3obobo2b2o3bob2o3bobobobo3bobo3bo5bo5b2o2b3o6b4o2bo2bo2b2o3b2o2b5o
3b4ob3ob3o$36b3obobobobo4b2ob2o6b2o2b2o4b3obob4obo2b3o6b4obobo2bob4o2b
o5b3ob4o4b3o3bo2bo2b2ob2o3bo7bo2b2ob2o2bo2bob2obo2bob2o3bob5ob3obo2b2o
b2o3b4o2b3o2b4o4b5ob2o5b4o3b2o2bo2bo2bo2bob3obo3bobo$37bobo2bob2o4b3o
2bo2bo3b5o2bobobo3bobob2obo4b2ob2ob3ob3obo2b4ob2o3b2o3b2o2bo2b2o2bo6b
2ob2ob6o2b7ob3o7b4obo3b2o5b2o3bo4bobobo3b3obobo4bob3o2b4ob3o2bo3bo2b2o
2bob2obo4bo2b2obob4o2b2o$36bob3o2b2o2b6ob6ob3o2bob2obob2o3b2obobo3bo3b
2o2b4o3b3o4b3obo2b3o2bo2bob2o3bob3obo4bo4b2o3bo2b2ob2o2b3o2b2o4b2obo4b
3o2b2o2b6o7bo3bob7ob4obo3bo5b2obob2obob3obobobo4bob2o7b2ob2o3bo$37bo2b
ob3obobob2o3bobo2bo2b2o3b5o2b4ob4o3bo2b5o3b6o4bobo5b2o2bo6bo2bo3b2obob
3o4bo3bo2bo3bobo2b3ob6o5bo2bo4bobo3b2o4b8o2bob3ob4obo2bo2bo2b2o2bob2ob
ob4obob2o2b5o4bob3o3b2o4bobo$36b2o12bobobo2bobob5ob2o2bo2b6obo2b2obo7b
3o4b2ob2o3b2obo4bob3o3bo3bo4b2o2bobobo3bo3bobobob3o2bob3o2b3o2bob4o2bo
bo4b2ob4ob5obo3bo7b2ob4o2b3o2b2o3bo4b2obob3o2bob9o3b4ob4obo$36bob5ob2o
b2o5b2ob3obob2ob7obobo2b2o3b2obobo2b2obob2obobo3bobo4b2ob2obobo2b2o2b
2o2bo4b4o5b5obo4bo2bo2b4obo3bo2bob6ob3ob3o2b3o3b2ob2ob2obo5b7o6bo3b3ob
ob4o3b2o4b3o2b2o2b4obo4bo2bo$39bobobobobo2b3o2b5o8bob3o3b2obo3bo3bo3b
2o3b2obobobobo2b4obobo3b2obo2bobob3o2b7obob2o2bo2bo2bob4o2b2obob4obo3b
o2bobob4ob2o2bo2b2obobo3bo3bo3bob2ob2o5bo3bo2bobo2bob2obob2o2b3obobo2b
2o4b3obo2bobob2o$39bobob3obo2bo2bobo2b2ob2o4bobob2obo2b3o3bo2b4ob4obo
2b2ob3ob2o3b3o3b2o3b2obobo4bob2o2b4o3b2ob2ob2obobo5b2obobob5o3b4o2bo3b
obobob4o3bobob3ob2ob4obob2o2b5ob2obob2o2b2o3bob2ob2o2b2obobobo3b2o3bob
obobo$38bo2bobo6bo2bo4b2o2bo2b2o2b3o5bo2b3ob3o2b7o3bo4bobo2bob3ob5o2b
2o6b3o2b2obobobob4o4b3ob2o3b5o6bo7b3o3b2obobo2bo3bobob2o5bo2b2o3bo3b3o
b2obo2bo4b3o2b3obob2o3bobob2ob3obobob2obo2b2o$38bo2b3ob2ob2ob3o2b2ob2o
5b3o9b2ob2obob3ob4o2b8obo2b4o2bob2obo2bob3o3bobo5bo4b2obob6ob3ob3o2bob
6obobo6bob5o2b2o2bobobobobo2bob2o2b4o2bob2o3b3ob2o2bobo4b2ob2o5bobo2bo
2bo3b4obobob2o$36b2o4bo2b6o6bobo2b5o3b2o2bo2b2o2b2obo3b2ob5o4bo5bo3b2o
bo2b5obobob5o2b2o4bobob3o3bobo6b3obobob5o3b2o2b3ob2o5b3o2b2obo5b3obo2b
obobobo3b2o2bo2b2o4b4o2b2o2bob2obob5ob4o3bo2b4o4bo$36bobo2b2o6b6obo8bo
2bo4bo5b2obobobob6obo4bo2bo4bo3b2o2bobo4b2o3b4obob3ob3ob2ob2ob4ob2obob
2obo2b2o2b13o2bobob2o2b5o5bob4obo3bo3b2o2bo3b6o6bobo3bo3b3ob3ob2obobo
6b3o$36bob8ob3obob5obo3bob4o8bo3bo2bo7bo2b2o3b5o4b2ob2ob3o4bo2bobob6o
2bo3b3o2bob3o3b3obob3obobo2bobo6bob2obo2b3o2b3o5bob6o8bobo5b2o4b2o3b2o
3b3o3b2o2bobo2bob3o3bobobobobo$36bo2b5ob3o8b3o2bobo2b3o5bo4bob4obobob
7o2bo2bob3o2bob2o2b2obobobo2bobobo2bo3bob2obo2bo2bo2b4obo2b2o3b2o2b2ob
2o2b3ob7ob3obob3obobo3b2o3b4ob4o2b3obo2b4obobob2ob3obo4b5ob9obobo6bobo
$38b2ob2obo6bo2b2o3bo4bobo5b5obobo2bobo2bo2b2o4bo3bo2b2o4b2ob5o3b2ob5o
3bo3b2o3b2obobob2o3b2o2b2obobo2bobo2bobob2obobobob5o4b3obo3b2o3b2o2bob
o2bob2o2b6ob2ob4obo4b2o2bob2obo2bobob3ob3obo2b3o2b3o$37b3o3b4o3bobo2bo
bo2bobob2ob3o2bo2b2o4bob2obobo2b4o2b2o2b5ob3obob2obo4b2o7b2o5b8o2bo6b
2o2bob2obo2bo3b2obob3o3bob4o3bo2bo3b2o5b3o4bo2b6o2bo3b2o2b2o2bobo3b2o
3b2ob2o4b2obob2o2b2ob2o4b2o$38b4obo3b3o6b2ob4obo3bo4b3o2bob2ob3ob5o3b
5o3b5o2b2obo2b3ob2ob5obo2bo3b2o2b3ob4o2b2o4b7o2bob5obo2bobo2bo2bobobob
obobo3bo5bob3ob3ob3obob3o3b4ob2o7bo3bob3obo4b2o3bobo2bo2bo2b3o$37b3o4b
3o6bo2b2obo3b3ob3ob2o2b5obob3o3b3o2b2obo2b2o2bo2bobob4o2bo2b2o3b4o4bo
2b3o2bo3bo2b2o3bo2bobo3b4o2bo2bob2ob2o6b2ob2obo3bo2b2ob2o2bo2bo4bobob
4ob4o2b3o2bo7bo3b4ob2ob3o4b5o2b4obo$37bob2o2bo3b3o3bobobo2b2o2bob3o2b
3o4bo3b5obobobob2ob3obobob2o3bobobob2o3b2obobo2b2o4b3ob2ob3o2bo2bobob
2ob3o3b2o2bo4b2obobobobo3b2o6b2o2bobo4bob2obo4b2obo2b5o2b3o4b2o2b2ob2o
2bo12bobo2bo3bo3b4o$36b3ob3o2bo2b6o3bo3bo2bob4ob2obob2o2b4obobobob2o6b
o2b2o4bo4b2o2b6o3bo3bo2bo2b3o2b5ob2ob4ob2ob3o3b2ob2o2bob2o6bob3o3b2ob
2obob2ob2ob3o3b3o3b2o3bo2bo3bo2bo2b3o5bo2b2o3b6o2bo4b5ob2ob3o$41b3ob4o
bob3o4b7o5b2o6b7o2bo2b5obob2o2b2ob3o3b2o2b2o3b2ob3o2bo4bob2ob2ob5o3bo
6b3o2b2ob2ob2o7bo5b2ob4obob2o9b3o2b2obo2b3o2b3o3bobo5b2obob3ob2o2bobo
3b3ob5o3bo2b3ob2o$38bob2ob3ob2obo5b3o2bo3b3obo2bobo2b3ob3obo3b2o5b3ob
2obob6obo2bo3b4obob2obob2o3bob2obob3o4b2ob9ob4obob2obo2b4o2b3o4b3o3b2o
2bobo2b2obo4b8o2bob2ob2o3bobob2ob8o2b2o2bob2o2b2obobob4o3bo$36bo2bob4o
7bo2bo5bobob2o4bobo2bo3bo2b2ob2o4bo2b2obob2o2bobo6b3o3bo2bo2b2o3bo3b4o
b4obo4bobo3b3ob2o7bo3b3ob9ob4o3bobob2o5b2o2b3o2bobo4b3obobo3bob2o2bobo
3bobo3bo3b3ob3o3bo2b2obobo3bo$36b3ob4o4b2obobobobo2bo2bob2o2bobo2b4ob
2ob2ob2o3bob2ob2obo4b2o3b6obo4b4o4bo2bo2b2obo2bo2b6o6b2obobobo3b8obob
5ob2ob2o4bob2obob2o2bob2ob3o2b3o4b5obobo3b3ob3o2bo3b3o4b3ob2ob2o2bob3o
b2o2bo$42b3o3b2o3b2o5b2o6b2ob6o3b3ob2o2b3o3bo2b5ob6o4bob5obobo2b2o2b2o
3b2obo2bobo2b8obobo2b2o3bobobobo2bobobo6b2ob2o2bo3bobob2ob2ob2ob3o3b2o
b2obo2b3obo2bob2o2b3o2bobobobobob2obob3ob3o2bo5b2o$36b4o2bobob2o3bob3o
bob3ob2o3b3obo3b3ob3o7bo2bo2bobo4bob5o2b2o10bo3b3ob3obo2b3obo3b3ob3ob
2o2b2o2bob3obo3bo2bo3bob2o3bo5b2o2bobo2bob8obobo3b4obobobob5ob2o3b2o2b
obobo2bo4bo4bo4b4obobo$36b4ob2o4b2obobobo2b2obobo2b2o2bob3ob2o2b2obo3b
3ob2o2b2obo4bob3obo2bob6ob2ob3obobo2b2o2bo4b2o3bobo4b4o2b2o2bobobo4bo
2b2o2bob2o3bo2b2o4bobo4b4ob2obob2o2bob3o3b3o2b2o3b3ob2o2bo8b4ob2o3bo2b
6ob4o$37b4o2b3o3bobobob2o2bo3b2obo3bo2bo4b3o5bo2b2o3bo6bo3bo4bo10bo5bo
bobo2b2ob3obo2b2o2b4obob3obo2b3o3b2obo4b2obo3b2o2bo4b5ob6obobobobo2bob
2o2b3obo2bo3bo2b2o3b2ob3o2b4obob4o7b4o5bo$36bo2b3o3bo5b2o3bob3o4bobobo
3b3o3bo5b2obob4o3bob4ob2o5bo2bo3bob2ob3ob3obob3obob2o5b2o2b2o2bob2ob2o
b2o3b2ob2o2b3o2bo4b4o3bo3bo2bobob2o3bo3b2o2bobo2bo3b3o3b2o2bob2obo4b2o
2bo3bob4o2b2ob2o3b2o2b2o$45bob2obob3o2b3o2bob3o4bo4b4o2b2o2b4o3b4obob
3o3bo2b2o4b2ob2o3b2ob2ob6ob5o2b2o2b9obo2bob2obobob2ob3o3bob2o2b4o3b2ob
2obobo4b5o2bob3obo2b2o3b2ob2o3bobo7b4ob2obob6o3b2ob4o3bobo$36bobobobo
2b2o4bo5bob4o2b2obob6o3b2o2bo2b3o3bo4bo3b2obob3o6b2obo2b2obo4b3ob2obob
2ob2o4b2ob3o7bob2ob2ob8o2bo2bobobobob3o4bo2bo5bob2o2b2o4b2ob4ob2obo2b
2o8b3o3b2ob2obo4bob4o3bo2bo2bo$36b6o2bob4obobo2b5o2bob2o2bo5b2ob3o3bob
o4b2o2bo5bob2ob3obo2b4ob3o4bobo2bo2b2ob2ob2o6b2ob2o2b2ob6o2b2o3b4obo3b
2ob2o2bo4bob2o4bobo5b2o4bobo3bob2o2b3o3b2o3b2o2bo2bob3o2b2o2b3ob5o5b3o
bo$38b3o2bob2obo2b3ob2ob3o2b2o6b3o2bob2o2bob2o4b3o2b3o3b4obo2bo2b2o4b
10obobob2obo2b2o2b2ob3ob2ob3o4b2obobob2o5b2ob4ob2o2bo4b2obo2b2o2bobo2b
ob2obo5bo2bo3bo2b5obo2b4o2bob3o3b3obo6b2o3bo2bo4bo$36bobob3ob3ob4o7b2o
bobobo5bobobobobo2b7o3bob4ob3o4bo3b2o2bobo2bo4bo5b4obobob3obo3bo5b2o5b
ob3obob4ob5ob2o6bo2b2o6bo2bo2b2obobob8obo4bob2ob2ob2obo2bo5b5o4b2o2b2o
b2o2bobo3bobo$36bob3o2b5o3b3o3b4ob4ob2obob2o4bobobob2ob3obob2o3b3obobo
b3o2b8ob2ob3o2b3o3bo4b2ob3o3b2o3b2o2bo5b3obob6obo3bo3bob2o6bobob3o2b3o
2bobo6bob2o3bobo2b4ob2o4bob3obo3b4ob4ob3ob2obobobob2o$37b2o5b2o5bobob
2obo2b2o2b4ob2o2b3obob6o2b3o3b4o2b2o2bobob7o2b5ob5o2b2o2b7ob2o2b2o2bo
2bo2bobobo3b3o2b5ob2obob3o12bobo3b2ob2ob2obo5bo3b4ob2o4bo4bob2obo5b11o
bob4o5b2ob2o$37bob5o4bo3b2o2b2ob2o2bo5bo4b3o4b3o2b3o4bob3o2b4obo3bob5o
2b2ob4o3bobo2bo3bobobob2o5b6o3bobobobob3o2bo3b2o2b3o2b2o2b4obob6obob2o
b3o5bobo4b4ob6o3b2o8b4ob8obob4o2bobobo$36b2o3bobo2bo3b5o3b3obo4b3o2b2o
2b2o2bo3bob3ob3o5b4o3b3ob6obo3b2obobobo2bo4bobo4b2o3bob5o3b2ob7o7bobob
2obo4b2o3bobo4bobobo2b3obob7o2b9o4b2ob2ob3ob2obo4b2o3bo3b2o2bo3b2ob2o$
39b2ob4obobob3o2b3o2b2o3bo2b2o4bo3bobo2b3o3b3o3bob2o2b4o6bo2b5o2bob2ob
2obo5b2ob2ob3ob2ob4ob2ob2o3bob2o2b2ob2ob3o4b2ob2ob2obo2b2o2bo4b2obobob
2obo2bobo3b3obo6bo2b5ob3o2b2ob10obo5bobobo3bo$36b2obob2o3b2o2bobo4bo2b
2o4bobo2bo3bo3bo2bo3b2o2bob3o2bo3bob2o3b5obob2obob2obob2ob3obo4bo3b2o
4b2o2b2obo3b2obo4bob3ob4ob3obobobobobobobo3bob3o2bo5bo2b5o2b2o2bobobob
2o4b2o2b3obo4b4o2b3o2bo2bobo3bob2o$36b2o4bobobo5bo7b4obo7bo2b2o3b3o3b
2o2bo6b2ob2o2bobob2obobob2o4bob4obob2o2b3o4bo4bobo3bo3b2o2b7ob5ob8obob
2o3bob2obo2bob5ob3o4bo2b4o2bobobo2bo6bobobo3b3obo2b2o2bob5ob3o2b3ob2o$
36b2o2bobo2bo3b2o2bob3o2bobobo3b2o3b2obo3b3o3bo2b3obobob2o2b5o2b2obo5b
o3bobob6obob5obob4o2bo2bo2b3obob2ob2o4b2ob3o2b2o2bob4obob2obo2bo2b3ob
3obob3o5b2ob3obob5obob3o2bob2ob3ob3ob2o2b2o6bobobob2obo$42b2ob2obo9bob
ob3o2b2o2bob2obo2bo3b3o4bobob4o2b2o2bob3obo3b2o3b6o2bobob7o2b5o2b3o2b
4o2bobo2bo2bobo4bo3bo5b3o2b6ob2ob2obo2b3o5bo5bo3bobo4bo2b2ob3o4bob4o2b
2obo2b3obobob3obo2bob2o$41b4o2bobo2b2obobo2b2o6b4obob2o2b2obo2b3obob3o
b3o2bobo2bob3o4b2obo2bo3b2o3bo3b5o2b3obobobob2obo5b5obo2b2ob3o5bobobob
3o3bobobob2obo7bo2b2obo2bob2ob2ob2ob2o2b2obobobob7ob2obo4b3ob2o7bobobo
$36bo2bo2b3o2b4o2b4obobo4b2ob4ob3obob6o5b5obobo2b2ob5o4bo2bo6b2obo2b4o
2b2ob2o8b3obobo2bo4bo2b2o3b2obo2b3obobo3bobob5ob2o2b5ob2o2bo8bobo2bobo
b3o3b4o3b4ob2obobo2b4o2bob3ob2o3b4o$36bob2obob3o3b3o7b2o3b3obob3ob2o2b
2obobobo2bo3b2o3b2o3b5o2bob2obo4bo2bob2ob3ob2obob2o7bo3bo6b4o3bo3b2o2b
2o3b2obo3bob2o4bob4o2b3ob2o8b4obob2o4b2o4bo2bobo3bob2ob3obo5b4obob2ob
2ob6o$36b2ob2ob2o3b5ob3o3b2obo2b2o3bo2bo2b3ob2o2bo3bob4ob7o4bo2b2o2bob
o5bo3b2o2bo3b5ob2obobobob2ob2ob4o3b2o4b2obo2b2ob2o2bobo2b3obobob4ob2o
5bobobo3b4o2b2obo2bob2obobob2obo4b4o2b2o2bobobo2b2ob2o2bo2b2obobo$38bo
b2obo2bob2o6b6o3b3obobo2b6o2b3obobob5o4bobobobobo2b2o2b2ob2ob2ob3obo2b
o3bo2bobobob3o2b5o2bob2obo2b2o3bo3b3ob2obobobo2bobo3b2o2bo3b2o2b2ob2o
2b2obo4b2obo2bobob2o3b3o2bobo2b2obob3obo2b2o3bo6b4ob2o$36bo2bob3ob3ob
5obo2b3o2bo5b2o2bo2b4obo3bo3bob4o2b3ob2o4b2ob2ob2ob2o5bob2o2bo2bob4ob
7o6bobo3bo3bob2obo2b3ob5ob3obobo2b3obob2ob3obo3b2ob5o2b5o2bobobob4ob5o
b3ob6ob17o2b2obo$40bo3b2o5bo3bobobo2bo2b3obobobob2ob2o4bob2o4bobob3ob
2obob2obobob3o2bobob5obob3ob2o2bo2bo2b4o3b2o2b3obo4b4o2bo3bob3o4bobob
2ob2o8bo3bob2o2b2o2b3ob2o3bob3obob6o2b2o2b2o2bob2obob3o2b2obobob3o3b2o
bo$39b3o3bob2ob5o2b4o2bo3bo2bo2bo6bo3bobobo3b5ob8obob3ob2ob2obo5b2obob
2o2b3ob3o2bo2b2o2b6o2bo2b2ob2o2bobob6ob2o4b2ob3o2b2ob2o3bo3b5obo3b7o2b
ob2o3b5o5bobo7b4obobo3b6ob2o3bo$39bo3b7o2b2obob3o4bo2bo4bo5b2obo3bob9o
bobo3b2o4bob2ob2ob4ob3obo3bobo5b3ob2obobob6o2b2o2b3obo2b3o2bobob3o2bob
o2bobob2o2bo4b4o2b2obo9bo6b3o2bob3ob2obo2bo3b3obob3ob2obo4bo2bobo3bo$
38bo2bo6bob2o3bo2bo2b4o6b5obo3b2o6b2ob2o4bob2obo2b2ob2o2bo2b2ob2obo2bo
2bob3obob2ob3o2bob2o2bo2b4obob3o3bo6bob2o3b3o2b2o5bo3b2o2b3obo6bobo5bo
b2o5bobo3b2obo3b2o2bob2obo2bo7b6ob2ob2obo$36bo2bobo2b6o2bo2bo6b3ob3obo
bobobob2o4b2obobo2b4o2b2o2bo4b3obob3o2bob6ob2o3bo3bo2bobobo2b2obob3ob
3ob3o5bob5o3b3o2bo2b6ob2obobob2o3b3ob3obo4bo3b6o2b2o3bobo2b2obo2bo2b5o
5bo2b4o2bob5o$36b4obob2obo2bobobobo4bo3b2ob2o3b2ob2obob2o2bob4o7b2obob
o2bo3b3o4b2o3bobobo2bo2bob2ob5obobo3b2o3b5obo2bobo2bo4bo3b2obo2b3ob7o
2bo3bob4o2bobo3bo6bobo2b3obo3b2o7bo4bobo2b2obob2ob8ob2obo$38b2o2b2o4b
3o3bob2obobob2o2b2obob2o2b2o3b3obobob2obo2bob2o2bo2bo2b4obo2b2obo3b2ob
2o6bo2b2o6b2ob2obo2bob2o2b2o3bob2ob2o3bo2bo3bo2b4o2bo5bo2bobo3b3o2b2o
3b7o2bo2b2ob6obobo2b2obobo5bob4o4b3obobo3b2o$36b3obob2o5bob2o3b2ob2ob
2ob2obo3b3o2b4o4b2o2bo2b2obo8bob2ob4ob2o2b2ob2obo2bo3b3o5bo2b2o4b3o7b
4o2bob4ob2obob3ob2obo2bobobo2bob6obo6b2obo2bo2bo6bo3b4ob3ob2o2b6ob2o4b
o2bobobobo2b3o2b3o$38b2o2b2obob2ob3ob3obo3bob4o2bo2bob2obo2b9o5b2o3bob
2o4bob2ob2ob8ob2ob2o2b2obobobob4obobob2o2bobob3o2bo3bob2o2b2o4b2o4b3o
2bo2b2o2bob2o4bo2b2o2b3ob4o2b5ob2o2bo2bo2b3ob2o3bob2o3b3obobo2bo2bo3b
2ob2o$36bob2ob2ob3ob3ob2o2b3o4b4ob2obob2o3b3ob2obob6o2bob2o2bob2o2b2o
5b2ob2ob3ob2obo2bo4b3o2b2o2b2o2b2obob2o2bobo2bobobobo2b2o5bo2b4o2bo3bo
2bobob2ob2obob3o2bo2bob2o2b4obob2obob2o5bobobob5o4b5o5b2ob4o2b2o$37bob
3obo2bo3bob2o6bo4b4o2b3obo2bo2bo2b2o5bob2ob2o3b2o2b2obo4bo5bob2obo4bob
o3bob2ob4o2bo4bob5o2b4o3b2obo4bo3bobo2bo4bobo2bo5b2o2bobobo2b3o2bobobo
b3o2bo5bob2o2b2o2b5ob8o2b2o2b2o3b4obo$38bo4bo3bobo6b4o2bo3bob2o2b4o3bo
2b2o3bo2b2o2b3o2bobo2b2ob4ob2ob3o3b3ob2o3bo9bo2b2o2b2o2bo2bob2o2bo2bo
3b6obo3bo2bo3b2o3b3o3b2obo3bobo2bo2b3o3b4o3bobo2b2ob2o2b2obobo2bo5b2o
5bo3b2o4bobob4o$36b2o3bobo3bo2bob2ob2o5bobo2b3obo2bobo3bo2b2o3b3o3bobo
3bo4bob5o3b7obo2bobob8o3bob3o2b3o3bo2b4obo4b2o3b2ob4obobo2bo2bo2b4obob
2ob2obo2bobo4b3o3bobob2ob2ob2obob2o2bobo2bob2o5b3o4bob2obo2bobo2b2o$
36b3ob2ob2obobobo2bo2b2obob2o3bo4b2o4bo3bo4b4o3bobobo2b7o2b2ob2o4bobo
2bo2bob2o2b4ob2ob2ob3ob2obob2obo5bo2bobo5b2ob5o2b4obobo2b2o2b2ob2ob2ob
obo7b5o5b4ob2o3bobo2b2ob2ob2ob2o2bo5b3o3b2o2bo2b3o$37b5o4b3obob5o3bob
2o4b2ob5o2b2ob5ob3ob7ob2ob3o9b4obob2ob2o2bo2b2ob2o3b2obo2b4obo2b2obo5b
2obo2b3o2b2o4bo4b3ob2obo2bobobo2bo3b2obo2b2ob2ob3o4bobo2b3o4b4o2b4ob2o
2b3obob2o6bobob2obobo$37bo2bo3b4o3b4ob8obob3o3bob3o3b3ob3ob2ob2o4bobo
3bo2b3o7bo2bo4bob2ob2ob4o2b2o3bobo4b2ob4o2bobo2b2obob7o3bobobo4bobo4bo
2b2obo5b3o2b3obo2bobo2b2o2b3o2b5ob2o3bo2b2o6b2o8b3o3b3o$37b2o2b3o3bobo
2bo3bobo4bo2bo3bobo3b2obobob4ob3o3bob6o5b2o2b2obob4o3b2ob2o2bobo3b2obo
bob2o2b5ob2ob2ob5obobo2b2ob2o2bob2o2bo6b2o2bobobobobo3bobo3bo2bo5b2ob
3o3b2o4bo2bo2b3ob3ob3o3bo2bo2b7o4b2o$37bobob3o6b3o2bobob2ob2obobob4o3b
o4bobobobobob3o2bo3b2obobo2bob4o2bo2b3o3bobob2o2b3ob3o2b2obo2b2ob2ob2o
b2obobo2b2obobo4b3o2bob2obob4ob3ob2ob4ob2o2bo3b2ob3obob3obo2b2obo2bo2b
3o2b2o2bobobo2bobobo2b5o2b2ob4o$36b3o2bob7o2b7o5b2obob5o3bo2bo5b3ob2o
3b2o3bo3b6o3bobo5b2o6bobo2b3o2b4o3bobo4bo2bo4bo9bo2bo3b2o2bo3b4obo2bo
3b5o5b2o2bo2b2o3bobo3bob2ob2obob6obobobobo5bobobob4o2b3o3bo$36b2obo5bo
b3obo2bobob2o2b5o5b3o2b2o2b2o3b2obo2bo2bob2ob2o2b4ob2o3b4obo6bobob2o2b
2ob4obob2o3b2o3bo2bobobobo2b3o3bob4o4bo2b6ob2o2b4o2bob3obobobo2b4o3bo
5b3o2b3obo3bobo2bob3o2bo3b2ob4o2bobob2ob2o$36b2o3bo3b2ob6ob2obobobobo
2bo2bobob7o2b4o2b8o2bob2o2b3o3bobobob2obo4bo3b2o2bobob2o4b3ob3ob2ob9ob
o3bob3ob2o4b4o2b2o4b2obobobobobo2bo3b3o2bo3b2ob2obob3o3b3o2b3o2b2o3b3o
3bo2bobob2o2b3o5b2o$40b2o2b3ob4o3b3o2b4o2bo2bo2bob3o4b5o2b2o4bo5b2o3bo
bo3b3ob3o3bobo3bo3bo5b3obo7bo6bo3bo2b2o3bobo3b3o3bob2obo2bo3b2ob5o4b2o
3bobo2b2obo2b3obo2bob2o2b5ob3o3bo2b4o4bob2o2bo3b2o2bobo$36b3o3b3obo3bo
5bob2o2b2o2bob2o2bobob2ob3o6bobo4b2o2bobo4bob3o2b3obobo2b3ob2ob2obo2b
10o2b4o2bobob4ob2o2b2o2bo5b2o2b2obo2b6obobo2b3o3b2ob5obobob2obo3b2obob
2obo8b3ob2o3b2obobo8bob2obo$40bo2bo3b3o2b3o2bo3bo2bobo2b2o3bob3ob3obo
2b3obo6b3ob3obobob2ob4ob2o2b3obo3bobobo2b2ob2o4b3o2bo2bo3b3o3b7o2bo3b
2o3bob5o10b2obobo4bobo2bobo6bobob2obobo2b3o10b3o5b6o2bobo5b2o$37bob2ob
4o2bob3obob2o3bo5bobobo3bobo2b2o2bo4b4obobo3bobo2b2o2b2o2bo7b4o3bo2bob
2o2bo3b2o2bo2b2o3b4o3bo3bo3bo4b2obo3b4o3b2o3bo2bo6bo2b7o2b2obobobobo3b
6obob5o2b3o2bo3bo2b3o4b4obobobo2bo$39bo4bo7bo4b2o3bo2b2o2bob2o3bob2obo
5bob5o2bobob3obo2bob7o4bobobob2o2bo2bo2bob2o3b6obob2o2b2o4bob3ob4obo2b
2ob3o2bobobo2bo2bob2ob2o2bobo2b3obob7o3bobo2bo4bo4b2obob4o4bo2bob8o5b
3obo$37bo2bobo2bob2obobo3b3ob2ob2o3bobo2b5o2bob3obobo3b2ob2ob2o2bobo2b
o4b2o3bo2b2o2bo2bo2bob2o2b2ob2obobobo2bo2bo3bo3bo4bo3b4o2b4o3b4o5bob2o
3b2ob2o2b2ob2o4b2o4b2o2b2o4b7o4bo3b2obob2ob3obo3b2o3bobobo2bo$39b2o2bo
3b3obo2b3o4bobo2bo2b2ob3o2bo2bo3bo2bob2o2bo2b2o3bo4bo3b2o3bo2b2o2b2o2b
2ob2ob2o2b2o3b3o2b2o2bobo3bobo6bo4bob2ob4ob2ob2ob2o2b3o3b3o3b2o4bobo2b
ob7obob3o4bo4bo2b3ob2obo4bob2obo2b2o3bobo4b2o$39b2ob2o2b2ob2o2b8o4b2o
2b2obobob2obo4b2obob4o2bobo2bo2b3o2b2ob2o2bob4o2b4obob2o3b4o4bo3b2obob
obob2o2bo5bo2b3o2b2o2bo2bo2b2o4b2o6b2o2b3o3bo2bob4obobobo2b2obob2o2bob
3ob2obobobo4bobobobobo2b2obobobob3o$36bo4bo6bo3b2ob2o3b2o2bobo3b2ob3ob
2o3bo2b2obobob2o2b2o3b3o3b2o3b2obo2bo4bo3bobobobo4b3o2b2o5b2obob3ob5ob
6ob3ob2obobo4bobob3o2b2o3bo3b2ob2obo3bob3o2b2ob2o3b3o3b2o2bo2b2o2b2o4b
2o3b3o2bo3b2obobo$36bo4b4o2b2o2b4o2bobobo2bobo2b4o3b2ob3obo2b2obo2bob
3o4bo3b4o2b2o3bob3ob3ob2obo4bobobo2b2o3bob3obo2b2obob3obobob2ob4o3bobo
3b2o4b3o3b2ob3ob9ob5o2b2o9b3obob2o3b2ob2o2b2ob2o6bobob2obo5bo$40b4obo
3bob2o2b4o2bo2b4obob2o3b3o3b2ob2ob3ob3o2b5o5b3o3bo2b2obo4b4ob2o2b2o2bo
4bobob2ob7obobo6bobobobobo6bo2bobobo3b3o4b2o2b4obo2b3obob4o2b3o2bo2bo
2b3o2b4o6b2ob2o2bob2obo2b2obob3o2bo$37b2obo4b3o2b6obo3bobo2bob2o4bo4bo
2bo2bobo3b3o2b2o2b2o2b2obo2bobo3bob5obobo2bo3bo2b2o2b2o3b2o2b2o2bo3b5o
bo3bob2obo2bo2b2o4bob2obobo3bo2bob4obo2b3o4b2ob3o5b2o2bo4b4obo3bo5b2ob
7obobobo2b2o2b2o$36bo2b3ob2o4b2obo2b2obobo2b2o2bo2bo2bob2o3b4obob2obo
2bobobobo2b3ob3ob3o2bobo2b2o3b2obo2bobobo2bobob3obob3obobobob8o2b2o2bo
b4o3bo2b3o3b2o2b2o2bobobob4o2bobo4bo3b3ob2obobobo3bobob2o3b5obo2b2o2bo
bo4b3obobo$36bob2o4bo4b5ob2ob2o2bo2b2ob2ob2ob5o2bobobo2b3o3b4o2b6o2bob
3obo2b5ob2o4bo4bo2bo3b3obob2obo8b3ob2obo3bo3b5obobo3bobo2bob2ob2ob2o4b
o2bob2o2bob3o2b2obobo2bo4b3o2bo2b2o5b2ob2ob3o2bobo3bob2ob2o$36bob2ob7o
b3obobobobobobob3obo3bo2b2obobo2bob6o3b4ob2o2b3obo4bo2bob3o2bobobo2b2o
3b2o2bobo2b2o2bob2ob2o2bobo3b2ob3o2b4o3bo2b3ob2o2b3obo2bobobob7o3b3obo
bobobobobobo5bo2bo4bobob3o2b3ob2ob3obo2bobob6o$36b2obo2b4obo2bob2o2bob
o2b4obo2bo2b2o4b2ob2obo2bo4bobobo3b2ob3o3b4o3bobobo2b2obo2bob2o3bo2bob
5ob2ob2o4b2obobo8b2ob2o4b2ob2o2bo3b3o2bo2bob2o2bo3b3ob6obo2bo3bo2b2o
12b4obob3o2b3obobobo3b2obobo$36bo2bo2b4o3bobob2o3b3ob2o2bo3b2ob3ob5ob
2ob2obobob4ob6obo4bob2o2bo2b3o7b3o2b3obo2b5obob2o4bo3b3o2b3o2b2o5bobob
o2b3obob4ob4ob2o3b5o2bo2b3ob4o2bob2o2bo2b2o3b5obobo6bobobob2obob4o2bo$
40b2o4bob2ob5ob3o3bo2bo3bobo2b3ob3o4bobobo3bobobo4b2ob2obo4b2ob2ob2obo
2b2obob2o2b2o3bo7b2o2bo2bobobo2b4obo2b4o2b4ob5obob2o5b2o7b3ob2ob4obo2b
obob4o5bobobobo5bo2bo2bob2o2b2obo3b7o$39b2ob3o4bob2obob2o2bobob6o4bobo
bobobob5o2bo3b3ob4o2bo2b2ob2ob3o2bo2b2obobo2b3o4bo2bo2b7o2bo6b3o2b5o3b
5obob5o5bobo2bob5o5bo2b2o4bo2bob2o6b2o2bobob2o4b7obob2o3b3ob2ob3obo2bo
$36bo4bobo5bo2bo2bo3bob2ob2ob4ob3ob7obob2o2bobo3bo3b2ob7o2bo2b5obo3b4o
2b3o3b2ob4obobob2ob3ob3ob2o4bobob4o2bobo3b2obobob2o2b2o2b2obo2bob2obob
ob2obo2bo4b2obobo3b2o2b2o3b2ob2obo3b2ob4ob2ob2obo2bobo2b2o$36bo2bob2ob
obobo3bob4obo3b3o4bo4b2obobo5b2obo2b2o2b2ob2o2bob2ob2o5b4o4bobob2obobo
b2o2b4o5bo3bob2ob2ob2obo2bo6b3o3bob2o3bo2b2o2bobobo2bobob3obo2b2o3b2o
3bo3bo2b2ob3o3b3o3bo2b2obobob8obo2bobobo2b4o$42b2ob3obo2bo2b3ob2o3b2o
2b10o5bo2bo11b2obo6bo2b6o2bo2bo3b2ob3o3b2ob4o2b6o2b2obo2bo2b2ob3o2b2ob
ob2ob3obobobob2obo2b4obob3o2b2o4bob2ob6o3bob2o4b2obobo7b6ob5obo2bo9b3o
$36bo3bobobo3b2ob3o3bo2bobo2b4obobobo2b3o2b3ob2obob2obo2b2obob4obo3b4o
2bo3bo2b2ob3o3bob2o6b2o2b3ob2ob2o2bo3bobob2obobob2ob5o3b2obo5b2o2b2o3b
3o2bobo2bo2b3o2b4obo3b4o3b3o2b2o4bo7b7o3b2o3bo2bo$36bo3b3obo2b2o2b5o6b
2ob2o2bobobob2obobo6b2o3b2ob2ob2ob2o2bo3bobob3o2bobo2bob3o2b4ob2o3bob
2obo8b5obo2b2o2b2ob2o6bobob5o2b6o7bobo3b2ob2obob3ob2o2bo2bo4b2o5bob9o
3b2o2b5o3b3ob3ob2o$38b5obo2bobob2o2b2o4b2ob2ob2o4b13obob7o2b2o2bo8bobo
bo3b2ob3obo2b2obo2bobo4b2o3b3ob2o2b2obo4b4ob4o2b3o4bo3b2o3bob2o5bo2bob
o3bo4b3obo5b2o4b2o4b2ob5o2b2o3b4obo2b2ob5ob2o3b2o$36b4ob3o3bobobo2bobo
2bobo5b4ob4o2bob3ob2ob2ob4o3b2o7b2ob3o6b2ob2obo2bo2b2o2bob4ob2obobobob
3o3bob3ob3obo3bo4b3ob2obo4bobo2bobo3b2o3bobo6b5obobob4o3bo6b3obo4bo2b
2obobobo4bobo2b2obo4bo$36b2o2b3o2bo2b2ob4o2bobob2o3bob2ob5obo6b4o5b6o
2bob2obob3ob4o2bob2ob2ob2obob5obo3bo3b2ob3obobob2obobo6b3ob2obo3b2o5bo
b3obo3b2o3bobo3b2obob3o4bo2bo3b3obobo2bob4o2bo3b5ob5obob2obobobo2bo2bo
$37bob3o4b2ob2o2b4obob3o2b5o7bo4b2ob4o3b4o3bo2b3o4bob4o3bob2o2b3obobob
o2b6o3bo2bob3o2b2o3bob5obo2bobob7obob2ob5ob2o4b10ob3o2bobob2o2bobo2bob
ob4ob2o2b4obo7b2o2bo5bo2bobo3bo$37b2o4b2obo2b2obob2ob2obobo2bo4bobo6b
5ob2ob4o5b2obobob2obo2b4obo2b3obo4bo2bo3b2ob7o2b3obo3b3o3bo2bob2o2bo3b
ob2o4b3ob4obob2o4bo2b2o3bobo2bob4o2bo6bo2bo2bob4o3b3o7b4o7bo9b2o$36b2o
bo2b5o2b4obob2o6bob2ob3o2bob5ob3obo3bo2b3ob2o4b2o4bob3o3bo2b2obo3b2o2b
o2bo2bob3o4bob3o3bob2obob3obo2b2obob6o2b2o3bo2bob5obobob2obobobo2bob3o
bob2ob4ob2ob4obo2bo2bobobo2b3obobo6b2o5bo3b2o$36b2o2bo2b3obobo2b2o2b4o
bo4bo3bobobo2b2obo8bo5b4ob2obobobob4obobo2b3obo3b7o6b4o2bobob3o3b5ob3o
3bobobob2obob2o2b2o2b2o4bo6bo3b2obob2o6bob3o3b7obo3b2obobo4bo2bo5b2o5b
3o5b2obo$39b2ob3obob2obob2o2bo3bo2b4o2b5o2b3ob2obob4o2b2o6b3obob2o2b6o
b3o3bobo3bob2ob2o3bo2bob5o3bob4ob2o2b2o2b3ob2obobobob2obobo2bob2obo2b
2o5bo6bo3bo2bob2obo3b2ob3obob4o3bo5bo2b3o2b2o3b2ob3o3bobo$36bo4b2o3b5o
b2o4b2obo2b2o4bob2o2b2o2b2obobobobo4bo2b5o6bobo4bo2b6obobo2bo6b2ob2obo
bo2b2ob2o2b2ob2obob2o2b2o2b2obob6ob5ob2obo2b2o3b2obobo2b4ob2ob2obo4b3o
2b2o2b2o4bobo2bo2b2ob3o2b3o2bo2bobo2bob2obo$40bob2obo3bob3o2bo2bo3bobo
3b4ob2o2b2o2b4obob2o3bob4ob2o3bo5bob2ob3o2bob2obob3o2b5o2b2obob4o2b2o
4bo4b2obo2b6o3bo3b3obo6b2o3bo3b2ob3o2b2o3b6ob4o2bob3ob2o2b2o7b2o2bobob
o3b2obo4b2o2bobo$36bo2bobob8obobo2b2o2bob5o2bobob2o2b2obob2o2b2o2b2ob
2ob3ob2o2b2o2b4o3b3o6bo2b3obob2o2b2ob2obo2b2o2b3o2bo3b4ob2obobo2b3obob
ob3o4bo6b5obobo2bo2b3o4b3ob2o2bobo4bob2o2b6obo3b3o4bobobo2b3o3bo$36b2o
2b3ob2o3b3ob2o3bobo2bo3bo2b2o2bo2bo2bo3bobo4bob3obob3ob4ob3o2b3o2b2obo
b2obo2b2o6bo3b3ob3o4bobob3ob3o5b7o2b2o5bob2o4bob2ob2o3bob3o2bo2b2ob2ob
3ob2o4b6o2bobob2ob3o2b2obo5b3o3bo5bo3b2o$36bo2bob4obobo2b2o7b2obo3bo3b
2o2b2o4b2obobobobobo2bob3ob3obo2bo5b2ob3obo2bob2obo3b4o2b3ob4o3b2ob2ob
obobob2ob2ob2o3bo2b8obobob2o2b2o2bo3b3o2b2o2b2o2bo5b2o2b2obo2b6o3b4o6b
ob2o4b3o7b4obobo$37b3obob6o3bo2bo2b2o3b3o3b5ob5ob3obo2bo7bo2b2o2bo3b4o
b2o4b2o2b3o5b2o5b2obob3obob2obobo2bo3bobo3bobo2bo2b3obo2bobobob2obobob
2ob3o2bo3b4obob2ob2obob3obob3o3b2obo2b2obo2bo3bob2o5bo2b2ob3ob2obobo$
36bob3ob3o5b2o5bobo3bo3b3o6bob3obob3o5b3o2b3obo2bo2bo2b10o3b2o3bobo2b
3obobob4obob3o4bobo2b6obob2ob2o2bo2bobob4obo3bo2bo3b4obob2obo4b5o3b3o
3b2obo2b3o3b3o3bob2o2b3ob2obob2o4bo3bob2o$37b2o3bo3b4o2b2ob3ob2ob2obo
2bobo6b3o3b2obob3o3b2o4b3ob3ob2ob3o3b2o3b2o2bo6bobo3bo2b2ob3o6b3ob3ob
3ob2ob6obo2b4ob2obobobo2b2o2bob5obob2o4bobo2bo5b2o4b2obo2b4o2b4ob2ob2o
bobo2b3ob2o2b3ob2o$36b5ob6obob3o3bob2o2b3obobo2b2o6b2o2b5o6bo2bob3ob5o
2bobo2b3obobob6ob2ob2obo3b2o3b3obobobo3bo4b2obo3bob3o4b4ob2o2bob2o3b2o
b4o2b2o2b2o2b2o4b2obobo2b2o3bobob3ob2o2b2ob2o2bo4bob2ob2o3bobobo3b2o$
36b3o4bo2b2o2b3o7b7obo2b2o4b2ob2o7bob2obo3bo3b4obobo4bo2b2obo5b3o2bo6b
obobobo3bob2o2bobob2o4bobo2bobobo3bo3bob3o4bo3b2obo2bobobobo2b2ob2o2bo
bo2bobo2b2obob3o3bobob4o3bobo3bob3obo3b2o5b3o$36bobo2b5ob2o2b2o2bo2b3o
bo3bob5obobobo2b4ob2o7bobo3b5obobo4bob3o3b2o2b2o3bob3ob4obob3o2bo3b2o
2b3o5b2ob5ob4ob2obo2b3obob5obo2b2o2b5ob3o4bo2b6obob2ob2ob6obo3b5o3b2ob
o5b2obob3ob3o$36bobob3ob3o3bobo3bob2o2bobob2o4b3o2bobobob3obob2o2bob4o
b2o5b2ob5o3bo4bobo2bobo4b2o2bobo2bo2bo2bo2bo2b2o2bob3o2b3ob2o2bo5bob5o
b4o3bo2b3o4bob2ob2o4b3ob4o2bo3bob2ob4obo2bo3bob2obo3bob2obobobobo5bo$
36b2obo2b2o2bo2b4ob5ob4o2bobobo4bobob3ob2ob7o3b3obo4b2o2b2obobo4bo2b2o
2b3o2bobob3o2b3obo5bob3ob2o2b2obo2bo5b2o2b3ob2obobo2b2o2b3o4bo3bo4b3ob
3o2b4o2bobob3o2b8obo6bob4obo2bobo2b2o2b4o2bo$36b2obo2bob4obob3o3b3ob2o
3bo5bo4bobo6bo4bobo3b2o2bob2obob3obob3o2b3ob2o2b3o2bob2o2bo7b3ob2o2bob
ob3ob2o2bob2o5bo2bo2b2ob3o3b4o2b2ob3o2bo2bo6bobo2bo3bob2o2bo2b6o2bob2o
bo2b5ob3o2b2o5b2o2bo2b2o$37bob4obo3b3o4b2obo3b5o4b3ob3ob2obo3b4ob2obob
6o2bo2b2ob3o3bob3ob3o2bob6o3b3o4bo2bob3o3b2obobob3o3b2obo3b2o2b2o2bob
2o2b5o5bobobo3b4obobo4b2ob2ob2ob2obo3b3o4bo5b3o2bobo3bob3o5b2obo$37bo
6bo2bo2bob3obo3b2o3b2o2b2o4bob2ob3o4b2ob3o6bo2bobob3o2bo2bob3obo3b8o3b
ob2o3b2ob2ob2o2bo2b2o2b2o2b3obo2b2o4bo2bo2bobo2bo2bob7o6b2ob3o2bo5b3ob
o2b3obo2bo2b3o2bobo2bobo3b4ob2obo3b2ob4o2b2o$36b4obobo3b2obobob3o3b3o
6bob2o2bo2b4obob3o2bo3b2o3b3obo2bo2bo6bo3b4o3b2ob3ob2ob2o2bob3o8bo2bo
2bobo3b3o9bo2b3ob3obo2bo5bo3b2ob2ob2ob2o3b3obobobo3b2o2bo2b3o3bo4b2ob
2o2b4ob6ob5ob3o$36b2o2bob2o2b3obo4b2obo3b3o2b3o2b2o2b2ob2obo3bob4obo3b
obob2obo2b5ob2o7bo3b2o5b3obo5bobo4bo3b3ob7o2b4o4bo3bobob2o3b2obo3bo6bo
2bo3b2obobob2o2bob2ob2o2b2o2bo2bob2o2bo3b4o2b5o3b2ob2o5bo2bo$37bob3obo
bo2bob4obo5bob3obo6bobob2ob4obob4obo2b3o3b3o3b3ob2o6b2ob2obo4b2o4bo4bo
4bo2b2obo2b2ob3obo2bobob4o2b4o3b2obo3b3ob2o2bo2b2o2bob3o4b2o2bobo3bo2b
ob5ob2obo5b2ob2ob2ob2o4bo2bo3bob2o2b2o!
I am multithreading for different splitter results, which makes use of more of my CPU. Good night from somewhere in Asia!

Edit 6: I realised that the rule in Edit 5 IS expanding with odd mirror symmetry. Therefore it might not work so well for small soup searches. Also yesterday's EPE runs did not give any non-expanding results, but it did progress a little.

Edit 7: Another EPE result non-expanding but with a dot shift:

Code: Select all

x = 3, y = 5, rule = B2-ai3eir4cekr5cy6ck7e/S01c2an3n4aijkrw5k6i7e
bo3$bo$obo!
Just as in Edit 6, these kind of rules expands with odd mirror symmetry. Also because of the variety of the still lives and oscillators, dots are less common and you hardly see any well-observed gunfire reactions by a T and 2 dots. The pattern will eventually stabilize anyway.
The expansive dynamics could potentially place another boulder on our way to life-emergence. The rule actually seems to have several common evolutionary sequence, but I cannot easily see them in soups due to the junk's rather big bounding box.
Anyone interested may also soupfind something from the rules in Edit 5 and Edit 7.

Edit 8: I had some EPE results with now 7 searches taking up one third of my CPU threads. They will run for 12 hours before I post again and I hope to see something actually working!

Edit 9: There are quite a lot of positive outputs, but these solutions all have rather expanding chaotic soups, which is unsatisfying. Should I consider searching for diagonal splitter rules or other ship-based rules instead?

Edit 10: Again all expanding. Over 50 rules but none of them are useful. Urrgghhh...

Re: A 'life-emerging' INT rule?

Posted: August 4th, 2026, 2:12 pm
by speedydelete
Ohhhhhhhhh wrote: August 3rd, 2026, 7:29 am I shall double post here for a near-good rule satisfying goals 1 and 3, but is unfortunately expanding in soups:
I've been developing some workarounds for a bug in EPE that prevents the "--slicestat" option from being able to detect splitters.

Specifically, this custom_result function, place it into src/EPEMain.cpp and recompile.

Code: Select all

inline bool custom_result(CellArray& arr, int depth)
{
    // if (depth < 127) {
    //     return false;
    // }
    #define X_OFFSET 1
    #define Y_OFFSET 4
    #define HEIGHT 5
    #define WIDTH 6
    if (arr.disp_x > X_OFFSET || arr.disp_y > Y_OFFSET || arr.disp_x + arr.dims_x < (X_OFFSET + WIDTH) || arr.disp_y + arr.dims_y < (Y_OFFSET + HEIGHT)) {
        return false;
    }
    #define get(y, x) (arr.cells[(x) - arr.disp_x + X_OFFSET + 1][(y) - arr.disp_y + Y_OFFSET + 1])
    #define is0(y, x) (get(y, x) == 0)
    #define is1(y, x) (get(y, x) == 1)
    return is0(0, 0) && is0(0, 1) && is0(0, 2) && is0(0, 3) && is0(0, 4) && is0(0, 5) &&
           is0(1, 0) && is0(1, 1) && is0(1, 2) && is0(1, 3) && is0(1, 4) && is0(1, 5) &&
           is0(2, 0) && is0(2, 1) && is1(2, 2) && is1(2, 3) && is0(2, 4) && is0(2, 5) &&
           is0(3, 0) && is0(3, 1) && is0(3, 2) && is0(3, 3) && is0(3, 4) && is0(3, 5) &&
           is0(4, 0) && is0(4, 1) && is0(4, 2) && is0(4, 3) && is0(4, 4) && is0(4, 5);
    #undef get
    #undef is0
    #undef is1
    #undef X_OFFSET
    #undef Y_OFFSET
    #undef HEIGHT
    #undef WIDTH
}
I was looking for a rule in the B2-ak5j/S12-k rulespace, which I still think is quite promising... the B2ce/S1 c/4d has the largest rulespace in a non-B2a rule and should probably be used for searches anyway.

Re: A 'life-emerging' INT rule?

Posted: August 4th, 2026, 9:19 pm
by Ohhhhhhhhh
speedydelete wrote: August 4th, 2026, 2:12 pm ...
I was looking for a rule in the B2-ak5j/S12-k rulespace, which I still think is quite promising... the B2ce/S1 c/4d has the largest rulespace in a non-B2a rule and should probably be used for searches anyway.
Thanks for the suggestion! For these rules, what do you think could be the common stable splitter? Dot cannot work since the spaceship fails with S0, and the minrule B2ce/S01 is already quite expanding with natural puffers present.
In your reference topic, I noticed the rule having near-splitters and small stable reflectors. However they do not seem to be too common, especially since a ship-emitting circuitry requires quite some objects to work, and would therefore be quite rare. My consideration has been that I get a stable 0&180 splitter and loop Ts between two of these splitters with bypass collision. This goal has lead to rule byproducts which shift the dot by 1 or 2, and I actually found it useful if we are expecting the rule to be not too complex with all the expansions and apgsearchable(?), since shifting the dot makes guns impossible as the 2 splitters will collide and eliminate everything eventually. However, a shift requires the bypass to also change some phase(?) so that multiple Ts can still loop.
A benefit of using diagonal ships is that they are less likely to have symmetry explosion, which could be another problem in natural soups. Another is that for diagonally asymmetric ships such as the banana spark you demonstrated in the large rulespace, if we have a diagonally symmetric stable splitter the splitter's ability is doubled. I will look further into your suggested rulespace and try later back home.

Edit 1: fixed typo.

Edit 2: may I also ask how do I get more non-expanding rules? The rules are too expansive and causes the whole thing to break down.

Re: A 'life-emerging' INT rule?

Posted: August 5th, 2026, 12:30 am
by NNlk05
speedydelete wrote: August 4th, 2026, 2:12 pm I've been developing some workarounds for a bug in EPE that prevents the "--slicestat" option from being able to detect splitters.
What's --slicestat

Re: A 'life-emerging' INT rule?

Posted: August 5th, 2026, 2:11 am
by Ohhhhhhhhh
NNlk05 wrote: August 5th, 2026, 12:30 am
speedydelete wrote: August 4th, 2026, 2:12 pm I've been developing some workarounds for a bug in EPE that prevents the "--slicestat" option from being able to detect splitters.
What's --slicestat
Install EPE and you will know. For these minor Q&As its better to use PM instead.

Re: A 'life-emerging' INT rule?

Posted: August 8th, 2026, 3:56 am
by J5L
Hmm...

Code: Select all

x = 5, y = 15, rule = B2-ac3ai4iq6n7/S1c24ar5ckr6ace7e
2bo$bobo$2bo10$b3o$o3bo$o3bo!
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