## UC-hunting for different rules

For discussion of other cellular automata.
Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

### UC-hunting for different rules

Let's take this as a CA-based puzzle, if you wish. For a given rule that doesn't seem hopeless for UC, finding the set of transformations that define universal computation can be an interesting challenge for the solver as well as useful for everyone to see the various ways different reactions can be accomplished in a variety of CA.
Plus it's good practice.

For this rule I already have the pull reaction, which appeared naturally and was too beautifully simple to avoid.

Code: Select all

``````x = 4, y = 19, rule = B2k3ainr4aew5e/S23-c
bo\$b2o\$o\$2bo\$b2o13\$2b2o\$2b2o!
``````
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

_zM
Posts: 176
Joined: June 26th, 2016, 3:07 pm

### Re: UC-hunting for different rules

Add another block without removing the earlier block:

Code: Select all

``````x = 6, y = 17, rule = B2k3ainr4aew5e/S23-c
bo\$b2o\$o\$2bo\$b2o11\$4b2o\$4b2o!
``````
Delete a block:

Code: Select all

``````x = 5, y = 17, rule = B2k3ainr4aew5e/S23-c
bo\$b2o\$o\$2bo\$b2o11\$3b2o\$3b2o!
``````
Push by 4:

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``````x = 14, y = 81, rule = B2k3ainr4aew5e/S23-c
12bo\$11b2o\$13bo\$11bo\$11b2o7\$7bo\$6b2o\$8bo\$6bo\$6b2o11\$8bo\$7b2o\$9bo\$7bo\$
7b2o8\$bo\$b2o\$o\$2bo\$b2o7\$6bo\$6b2o\$5bo\$7bo\$6b2o11\$5bo\$5b2o\$4bo\$6bo\$5b2o
11\$4b2o\$4b2o!
``````
Mostly a starting point more than anything else.
may or may not be what you'd expect

Redstoneboi
Posts: 383
Joined: May 14th, 2018, 3:57 am

### Re: UC-hunting for different rules

so we have push by 4, and pull by 3.
those are relatively prime, so we can pull/push a block any amount we want.
anyone up to find a fire reaction?
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

### Re: UC-hunting for different rules

Redstoneboi wrote:so we have push by 4, and pull by 3.
those are relatively prime, so we can pull/push a block any amount we want.
anyone up to find a fire reaction?
I seem to recall there was a script to find linear growths.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

83bismuth38
Posts: 491
Joined: March 2nd, 2017, 4:23 pm
Location: the center of the universe
Contact:

### Re: UC-hunting for different rules

anybody need a loaf? maybe? what about this diamond thing? boat? hive? that diamond but alone?

Code: Select all

``````x = 83, y = 30, rule = B2k3ainr4aew5e/S23-c
5o\$2o2bo\$3bo10b2o\$14b2o9\$25b5o11bo\$25b2o2bo10bobo\$5o23bo10bo3bo3b2o10b
5o17b2o\$2o2bo9b2o24bobo4b2o10b2o2bo17b2o\$3bo10b2o25bo20bo\$47b2o32b2o\$
47b2o32b2o7\$81b2o\$59b5o17b2o\$59b2o2bo\$62bo18b2o\$81b2o!
``````
ayy pull by 1

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``````x = 32, y = 6, rule = B2k3ainr4aew5e/S23-c
7b5o\$7b2o2bo4b5o\$10bo5b2o2bo9b2o\$5o14bo10b2o\$2o2bo\$3bo!
``````
pull by... 21.

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``````x = 41, y = 15, rule = B2k3ainr4aew5e/S23-c
11bo\$8b2o2bo\$8b5o3\$25b5o\$3bo13b5o3b2o2bo\$2o2bo6bo5b2o2bo6bo10b2o\$5o3b
2o2bo7bo18b2o\$8b5o3\$25b5o\$25b2o2bo\$28bo!
``````
better boat:

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``````x = 24, y = 4, rule = B2k3ainr4aew5e/S23-c
5o\$2o2bo3b5o9b2o\$3bo4b2o2bo9b2o\$11bo!
``````
ship:

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``````x = 35, y = 5, rule = B2k3ainr4aew5e/S23-c
5o14b5o9b2o\$2o2bo14b2o2bo9b2o\$3bo7b5o6bo\$11b2o2bo\$14bo!
``````

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``````x = 8, y = 10, rule = B3/S23
3b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!
``````
No football of any dui mauris said that.

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

### Re: UC-hunting for different rules

Does this, and the gun, prove UC?

Code: Select all

``````x = 108, y = 19, rule = B36a/S2-i34t5e
92bobo\$93b2o\$93bo3\$obo\$b2o\$bo3\$42bo32bo29bo\$8bo27bo6b2o31b2o28b2o\$9bo
27b2o3b2o31b2o28b2o\$7b3o26b2o2\$13b2o28b2o24bobo4b2o28b2o\$13b2o28b2o25b
2o4b2o23bo4b2o\$70bo28bobo\$100b2o!
``````
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Hdjensofjfnen
Posts: 1673
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: UC-hunting for different rules

Rhombic wrote:Does this, and the gun, prove UC?

Code: Select all

``````x = 108, y = 19, rule = B36a/S2-i34t5e
92bobo\$93b2o\$93bo3\$obo\$b2o\$bo3\$42bo32bo29bo\$8bo27bo6b2o31b2o28b2o\$9bo
27b2o3b2o31b2o28b2o\$7b3o26b2o2\$13b2o28b2o24bobo4b2o28b2o\$13b2o28b2o25b
2o4b2o23bo4b2o\$70bo28bobo\$100b2o!
``````
p276, probably known, sparky?

Code: Select all

``````x = 4, y = 5, rule = B36a/S2-i34t5e
bobo\$o2bo2\$2b2o\$3bo!
``````

Code: Select all

``````x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo\$4bo\$o2bo\$2o2\$2o\$o2bo\$4bo\$3bo!``````

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````