## UC-hunting for different rules

For discussion of other cellular automata.

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

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: UC-hunting for different rules

Add another block without removing the earlier block:
`x = 6, y = 17, rule = B2k3ainr4aew5e/S23-cbo\$b2o\$o\$2bo\$b2o11\$4b2o\$4b2o!`

Delete a block:
`x = 5, y = 17, rule = B2k3ainr4aew5e/S23-cbo\$b2o\$o\$2bo\$b2o11\$3b2o\$3b2o!`

Push by 4:
`x = 14, y = 81, rule = B2k3ainr4aew5e/S23-c12bo\$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\$5b2o11\$4b2o\$4b2o!`

Mostly a starting point more than anything else.
Creator of multiple rules that may or may not be what you'd expect

_zM

Posts: 170
Joined: June 26th, 2016, 3:07 pm

### 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.

Redstoneboi

Posts: 336
Joined: May 14th, 2018, 3:57 am

### 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”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: UC-hunting for different rules

`x = 83, y = 30, rule = B2k3ainr4aew5e/S23-c5o\$2o2bo\$3bo10b2o\$14b2o9\$25b5o11bo\$25b2o2bo10bobo\$5o23bo10bo3bo3b2o10b5o17b2o\$2o2bo9b2o24bobo4b2o10b2o2bo17b2o\$3bo10b2o25bo20bo\$47b2o32b2o\$47b2o32b2o7\$81b2o\$59b5o17b2o\$59b2o2bo\$62bo18b2o\$81b2o!`
ayy pull by 1
`x = 32, y = 6, rule = B2k3ainr4aew5e/S23-c7b5o\$7b2o2bo4b5o\$10bo5b2o2bo9b2o\$5o14bo10b2o\$2o2bo\$3bo!`
pull by... 21.
`x = 41, y = 15, rule = B2k3ainr4aew5e/S23-c11bo\$8b2o2bo\$8b5o3\$25b5o\$3bo13b5o3b2o2bo\$2o2bo6bo5b2o2bo6bo10b2o\$5o3b2o2bo7bo18b2o\$8b5o3\$25b5o\$25b2o2bo\$28bo!`
better boat:
`x = 24, y = 4, rule = B2k3ainr4aew5e/S23-c5o\$2o2bo3b5o9b2o\$3bo4b2o2bo9b2o\$11bo!`
ship:
`x = 35, y = 5, rule = B2k3ainr4aew5e/S23-c5o14b5o9b2o\$2o2bo14b2o2bo9b2o\$3bo7b5o6bo\$11b2o2bo\$14bo!`
`x = 8, y = 10, rule = B3/S233b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!`

No football of any dui mauris said that.

83bismuth38

Posts: 453
Joined: March 2nd, 2017, 4:23 pm
Location: Still sitting around in Sagittarius A...

### Re: UC-hunting for different rules

Does this, and the gun, prove UC?
`x = 108, y = 19, rule = B36a/S2-i34t5e92bobo\$93b2o\$93bo3\$obo\$b2o\$bo3\$42bo32bo29bo\$8bo27bo6b2o31b2o28b2o\$9bo27b2o3b2o31b2o28b2o\$7b3o26b2o2\$13b2o28b2o24bobo4b2o28b2o\$13b2o28b2o25b2o4b2o23bo4b2o\$70bo28bobo\$100b2o!`
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: UC-hunting for different rules

Rhombic wrote:Does this, and the gun, prove UC?
`x = 108, y = 19, rule = B36a/S2-i34t5e92bobo\$93b2o\$93bo3\$obo\$b2o\$bo3\$42bo32bo29bo\$8bo27bo6b2o31b2o28b2o\$9bo27b2o3b2o31b2o28b2o\$7b3o26b2o2\$13b2o28b2o24bobo4b2o28b2o\$13b2o28b2o25b2o4b2o23bo4b2o\$70bo28bobo\$100b2o!`

p276, probably known, sparky?
`x = 4, y = 5, rule = B36a/S2-i34t5ebobo\$o2bo2\$2b2o\$3bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

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