## 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!`
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Rhombic

Posts: 1042
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.
stop drop and goll

_zM

Posts: 164
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(>^x^<c)~
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.

There’s one problem,

Fluffy doesn’t exist :(

Redstoneboi

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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.
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what is “sesame oil”?

Rhombic

Posts: 1042
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
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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
what is “sesame oil”?

Rhombic

Posts: 1042
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 = 3, rule = B3-r4j/S2-i3o5bo\$2o3b2o\$b2ob2o!`

Hdjensofjfnen

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