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## Rules with Failed Quadratic Replicators

For discussion of other cellular automata.

### Rules with Failed Quadratic Replicators

For the successful ones: viewtopic.php?f=11&t=2288

B3578/S23 (orthogonal)

`x = 9, y = 3, rule = B3578/S232o5b2o\$2o5b2o\$2o5b2o!`

B38/S2378 (orthogonal)

`x = 3, y = 3, rule = B38/S23783o\$obo\$obo!`

B34tw5y/S23 (diagonal)

`x = 6, y = 6, rule = B34tw5y_S233o\$obo\$3o2\$4b2o\$4b2o!`

B34w/S23 (diagonal) (essentially just an unstable version of the ew one)

`x = 8, y = 8, rule = B34w_S23bo2\$3o3\$6bo2\$5b3o!`

Replicate under 10 times before not being replicators:

B34tw5y/S23 (diagonal)

`x = 3, y = 2, rule = B34tw5y_S23bo\$3o!`

B34w/S23 (diagonal)

`x = 3, y = 3, rule = B34w_S23bo\$3o\$3o!`

B34i5y/S23 (diagonal)

`x = 3, y = 4, rule = B34i5y_S23bo\$b2o\$obo\$bo!`

B3-kn5y8/S234i5i (diagonal)

`x = 4, y = 4, rule = B3-kn5y8/S234i5ib3o\$o2bo\$o2bo\$3o!`

B3-ckq/S2-c34ci (hilarious)

`x = 12, y = 11, rule = B3-ckq/S2-c34ci3\$4b3o\$4bobo\$4bobo\$8bo\$8bo\$8bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with Failed Quadratic Replicators

B3/S234w, oblique
`x = 4, y = 3, rule = B3/S234w3o\$o2bo\$b3o!`

B34z8/S238, orthogonal
`x = 3, y = 3, rule = B34z8/S2383o\$obo\$obo!`
`x = 11, y = 5, rule = B2ck3-ij5n78/S01e2ei3-k5ai8b2o\$2o3b2o\$bo4bo3bo\$2bo2b2o\$o7bo!`

(Check Gen 2)

toroidalet

Posts: 936
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Rules with Failed Quadratic Replicators

toroidalet wrote:B3/S234w, oblique
`x = 4, y = 3, rule = B3/S234w3o\$o2bo\$b3o!`

Also a failed replicator in B3/S234y.
Here's another:
`x = 3, y = 3, rule = Lifebo\$3o\$bo![[ STOP 5 ]]`

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Rules with Failed Quadratic Replicators

`x = 3, y = 3, rule = B2n34eiqtwz5eijnr8/S23-a4city3o\$obo\$3o!`

`x = 5, y = 5, rule = B2n34cejtwy5eijnr8/S23-a4city3o\$o2bo\$o3bo\$bo2bo\$2b3o!`
etymology of names!

GUYTU6J

Posts: 368
Joined: August 5th, 2016, 10:27 am
Location: outside Plain of Life

### Re: Rules with Failed Quadratic Replicators

wwei23 wrote:Here's another:
`x = 3, y = 3, rule = Lifebo\$3o\$bo![[ STOP 5 ]]`

Well, that really can't be called a "failed replicator", because the crosses were actually touching each other.
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

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

muzik wrote:B34tw5y/S23 (diagonal)

`x = 6, y = 6, rule = B34tw5y_S233o\$obo\$3o2\$4b2o\$4b2o!`

Also this, too:

`x = 5, y = 3, rule = B34tw5y/S232obo\$o2b2o\$2obo!`
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

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

Hdjensofjfnen wrote:Also this, too:

`x = 5, y = 3, rule = B34tw5y/S232obo\$o2b2o\$2obo!`

That replicator isn't failed, nor is it quadratic.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with Failed Quadratic Replicators

Then this:
`x = 5, y = 4, rule = B3-n4kq6in7c/S234e7co\$bobo\$bo2bo\$bobo!`
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

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

Is this known?

`x = 4, y = 3, rule = B36/S245b2o2\$4o!`
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

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

Hdjensofjfnen wrote:Is this known?
`failed 1D replicator`

Yes, that's known, and no, it does not belong in this thread.
Here's a failed class-Q replicator:
`x = 3, y = 3, rule = B2n34ew6c/S237e3o\$3o\$3o!`
`x = 11, y = 5, rule = B2ck3-ij5n78/S01e2ei3-k5ai8b2o\$2o3b2o\$bo4bo3bo\$2bo2b2o\$o7bo!`

(Check Gen 2)

toroidalet

Posts: 936
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Rules with Failed Quadratic Replicators

`x = 3, y = 3, rule = B2ikn3aijr4-artz5-ar6-a7c8/S23-a4city3o\$obo\$3o!`
etymology of names!

GUYTU6J

Posts: 368
Joined: August 5th, 2016, 10:27 am
Location: outside Plain of Life

### Re: Rules with Failed Quadratic Replicators

I found two of these back in November:
`x = 3, y = 3, rule = B3-r/S1e23eirbo\$3o\$bo!`

`x = 5, y = 3, rule = B3-ckq/S02-i34qb3o\$o3bo\$2ob2o!`

The first rule also has a c/2o R ship.
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 266
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with Failed Quadratic Replicators

`x = 3, y = 5, rule = B2-a3y4ek5ny/S12a4aobo\$bo2\$bo\$obo!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 266
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with Failed Quadratic Replicators

LaundryPizza03 wrote:
`x = 3, y = 5, rule = B2-a3y4ek5ny/S12a4aobo\$bo2\$bo\$obo!`

p30 puffer, ship and rake:
`x = 11, y = 87, rule = B2-a3y4ek5ny/S12a4a6bo\$8bo\$9bo\$8bo\$5bo\$b2ob4o\$o5bo\$2o3bo\$3bo15\$6bo\$8bo\$9bo\$8bo\$5bo\$b2ob4o\$o5bo\$2o3bo\$3bo9\$3bo\$2o3bo\$o5bo\$b2ob4o\$5bo\$8bo\$9bo\$8bo\$6bo12\$6bo\$8bo\$9bo\$8bo\$5bo\$b2ob4o\$o5bo\$2o3bo\$3bo10\$4bo\$b2o3bo\$bo5bo\$2b2ob4o\$6bo\$9bo\$10bo\$9bo\$7bo!`

The failed-rep can also be turned into several c/4 puffers, here are two:
`x = 77, y = 17, rule = B2-a3y4ek5ny/S12a4a6bo3bo65bo\$7bobo\$6bo3bo56bo3bo3b2o\$68bobo\$67bo3bo2\$obo\$bo2\$bo\$obo64bo3bo\$68bobo\$67bo3bo3\$62bo\$60bobo!`
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 937
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA

### Re: Rules with Failed Quadratic Replicators

A p95 replicator described by Mark Niemiec:
`x = 2, y = 3, rule = B3/S2ae3aeijr4-ckqy2o\$2o\$o!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 266
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with Failed Quadratic Replicators

Research pending for this rule, it's very promising.
`#CXRLE Pos=-6,-9x = 3, y = 2, rule = B2ak3k4cnz5cen/S2-en3cn4cjkny5cen6a2o\$2bo!`

KittyTac

Posts: 533
Joined: December 21st, 2017, 9:58 am

### Re: Rules with Failed Quadratic Replicators

A weird one that stabilizes after about 2k generations:
`x = 3, y = 2, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6cbo\$obo!`

ygh

Posts: 47
Joined: March 18th, 2016, 4:47 pm

### Re: Rules with Failed Quadratic Replicators

ygh wrote:A weird one that stabilizes after about 2k generations:
`x = 3, y = 2, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6cbo\$obo!`

Breeder:
`x = 5, y = 3, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c2ob2o\$bo2bo\$3b2o!`

c/11 diagonal spaceship:
`x = 8, y = 7, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c5bobo\$5b3o3\$2o\$bo\$2o!`

c/2 orthogonal:
`x = 5, y = 8, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c3bo\$5o\$3bo3\$3bo\$5o\$3bo!`

Fractal:
`x = 5, y = 12, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c3b2o\$bo2bo\$2ob2o7\$2ob2o\$bo2bo\$3b2o!`

2c/5:
`x = 9, y = 3, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6cob3o2bo\$2bo2b4o\$ob3o2bo!`
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 937
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA

### Re: Rules with Failed Quadratic Replicators

The same rule also has a failed Sierpinski builder:
`x = 24, y = 1, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c3o4b4o10b3o!`

ygh

Posts: 47
Joined: March 18th, 2016, 4:47 pm

### Re: Rules with Failed Quadratic Replicators

`x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bobo\$2bo!`
Failed Replicator!
`x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bobo\$2bo!`

(That I wish was not failed D:)

jimmyChen2013

Posts: 126
Joined: December 11th, 2017, 3:28 am

### Re: Rules with Failed Quadratic Replicators

jimmyChen2013 wrote:
`x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bobo\$2bo!`

This rule also has a natural spacefiller, which forms from simply a single tub (as opposed to the barge replicator):
`x = 3, y = 3, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bo!`

However, when arising from soup it usually also fails due to colliding with debris:
`x = 16, y = 16, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8obo3bo7b2o\$ob2obob2o\$5ob4o2bob2o\$3o2bo2b2ob2ob2o\$3o2bo3bo3bo\$bo2b3o2bo3bo\$2o3bob6o2bo\$o2bo2bo3b2ob2o\$2o2bobo2b2obob2o\$4o4bob3o2bo\$bobo2bo4bo2bo\$bob6ob4obo\$3obo3b2ob2ob2o\$b3o6b2o\$b2obo2b5o2bo\$bo3bo2bo3bo2bo!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Rules with Failed Quadratic Replicators

77topaz wrote:
jimmyChen2013 wrote:
`x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bobo\$2bo!`

This rule also has a natural spacefiller, which forms from simply a single tub (as opposed to the barge replicator):
`x = 3, y = 3, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bo!`

However, when arising from soup it usually also fails due to colliding with debris:
`x = 16, y = 16, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8obo3bo7b2o\$ob2obob2o\$5ob4o2bob2o\$3o2bo2b2ob2ob2o\$3o2bo3bo3bo\$bo2b3o2bo3bo\$2o3bob6o2bo\$o2bo2bo3b2ob2o\$2o2bobo2b2obob2o\$4o4bob3o2bo\$bobo2bo4bo2bo\$bob6ob4obo\$3obo3b2ob2ob2o\$b3o6b2o\$b2obo2b5o2bo\$bo3bo2bo3bo2bo!`

well I also posted this on my thread Whitespace http://www.conwaylife.com/forums/viewtopic.php?f=11&t=3293 which is all about the spacefiller
Failed Replicator!
`x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bobo\$2bo!`

(That I wish was not failed D:)

jimmyChen2013

Posts: 126
Joined: December 11th, 2017, 3:28 am

### Re: Rules with Failed Quadratic Replicators

`x = 3, y = 3, rule = B2a7e/S1e34b2o\$obo\$2o!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with Failed Quadratic Replicators

muzik wrote:
`x = 3, y = 3, rule = B2a7e/S1e34b2o\$obo\$2o!`
Same pattern, different rule produces puffers:
`x = 3, y = 3, rule = B2ac3c7e/S1c34b2o\$obo\$2o!`
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 678
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Rules with Failed Quadratic Replicators

This was the cellular automaton on the loading screen of Wolfram|Alpha:

`x = 5, y = 5, rule = 3457/357/52.A\$.BAB\$2AC2A\$.3A\$.3A!`
AlephAlpha

Posts: 28
Joined: October 6th, 2017, 1:50 am

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