## Rules with Failed Quadratic Replicators

For discussion of other cellular automata.
muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Rules with Failed Quadratic Replicators

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

B3578/S23 (orthogonal)

Code: Select all

``````x = 9, y = 3, rule = B3578/S23
2o5b2o\$2o5b2o\$2o5b2o!
``````
B38/S2378 (orthogonal)

Code: Select all

``````x = 3, y = 3, rule = B38/S2378
3o\$obo\$obo!
``````
B34tw5y/S23 (diagonal)

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``````x = 6, y = 6, rule = B34tw5y_S23
3o\$obo\$3o2\$4b2o\$4b2o!
``````
B34w/S23 (diagonal) (essentially just an unstable version of the ew one)

Code: Select all

``````x = 8, y = 8, rule = B34w_S23
bo2\$3o3\$6bo2\$5b3o!``````
Replicate under 10 times before not being replicators:

B34tw5y/S23 (diagonal)

Code: Select all

``````x = 3, y = 2, rule = B34tw5y_S23
bo\$3o!
``````
B34w/S23 (diagonal)

Code: Select all

``````x = 3, y = 3, rule = B34w_S23
bo\$3o\$3o!
``````
B34i5y/S23 (diagonal)

Code: Select all

``````x = 3, y = 4, rule = B34i5y_S23
bo\$b2o\$obo\$bo!
``````
B3-kn5y8/S234i5i (diagonal)

Code: Select all

``````x = 4, y = 4, rule = B3-kn5y8/S234i5i
b3o\$o2bo\$o2bo\$3o!``````
B3-ckq/S2-c34ci (hilarious)

Code: Select all

``````x = 12, y = 11, rule = B3-ckq/S2-c34ci
3\$4b3o\$4bobo\$4bobo\$8bo\$8bo\$8bo!``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

toroidalet
Posts: 1023
Joined: August 7th, 2016, 1:48 pm
Location: my computer
Contact:

### Re: Rules with Failed Quadratic Replicators

B3/S234w, oblique

Code: Select all

``````x = 4, y = 3, rule = B3/S234w
3o\$o2bo\$b3o!
``````
B34z8/S238, orthogonal

Code: Select all

``````x = 3, y = 3, rule = B34z8/S238
3o\$obo\$obo!
``````
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

wwei23
Posts: 939
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Rules with Failed Quadratic Replicators

toroidalet wrote:B3/S234w, oblique

Code: Select all

``````x = 4, y = 3, rule = B3/S234w
3o\$o2bo\$b3o!
``````
Also a failed replicator in B3/S234y.
Here's another:

Code: Select all

``````x = 3, y = 3, rule = Life
bo\$3o\$bo!
[[ STOP 5 ]]
``````

GUYTU6J
Posts: 702
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

### Re: Rules with Failed Quadratic Replicators

Code: Select all

``````x = 3, y = 3, rule = B2n34eiqtwz5eijnr8/S23-a4city
3o\$obo\$3o!
``````

Code: Select all

``````x = 5, y = 5, rule = B2n34cejtwy5eijnr8/S23-a4city
3o\$o2bo\$o3bo\$bo2bo\$2b3o!
``````
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
An awesome gun firing cool spaceships:

Code: Select all

``````x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry
2bo\$2o\$o\$obo\$b2o!``````

Hdjensofjfnen
Posts: 1339
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

wwei23 wrote: Here's another:

Code: Select all

``````x = 3, y = 3, rule = Life
bo\$3o\$bo!
[[ STOP 5 ]]
``````
Well, that really can't be called a "failed replicator", because the crosses were actually touching each other.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

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

Hdjensofjfnen
Posts: 1339
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

muzik wrote: B34tw5y/S23 (diagonal)

Code: Select all

``````x = 6, y = 6, rule = B34tw5y_S23
3o\$obo\$3o2\$4b2o\$4b2o!
``````
Also this, too:

Code: Select all

``````x = 5, y = 3, rule = B34tw5y/S23
2obo\$o2b2o\$2obo!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

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

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with Failed Quadratic Replicators

Hdjensofjfnen wrote:Also this, too:

Code: Select all

``````x = 5, y = 3, rule = B34tw5y/S23
2obo\$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!

Hdjensofjfnen
Posts: 1339
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

Then this:

Code: Select all

``````x = 5, y = 4, rule = B3-n4kq6in7c/S234e7c
o\$bobo\$bo2bo\$bobo!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

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

Hdjensofjfnen
Posts: 1339
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules with Failed Quadratic Replicators

Is this known?

Code: Select all

``````x = 4, y = 3, rule = B36/S245
b2o2\$4o!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

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

toroidalet
Posts: 1023
Joined: August 7th, 2016, 1:48 pm
Location: my computer
Contact:

### Re: Rules with Failed Quadratic Replicators

Hdjensofjfnen wrote:Is this known?

Code: Select all

``````failed 1D replicator
``````
Yes, that's known, and no, it does not belong in this thread.
Here's a failed class-Q replicator:

Code: Select all

``````x = 3, y = 3, rule = B2n34ew6c/S237e
3o\$3o\$3o!
``````
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

GUYTU6J
Posts: 702
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

### Re: Rules with Failed Quadratic Replicators

Code: Select all

``````x = 3, y = 3, rule = B2ikn3aijr4-artz5-ar6-a7c8/S23-a4city
3o\$obo\$3o!
``````
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
An awesome gun firing cool spaceships:

Code: Select all

``````x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry
2bo\$2o\$o\$obo\$b2o!``````

LaundryPizza03
Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with Failed Quadratic Replicators

I found two of these back in November:

Code: Select all

``````x = 3, y = 3, rule = B3-r/S1e23eir
bo\$3o\$bo!
``````

Code: Select all

``````x = 5, y = 3, rule = B3-ckq/S02-i34q
b3o\$o3bo\$2ob2o!
``````
The first rule also has a c/2o R ship.

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

LaundryPizza03
Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with Failed Quadratic Replicators

Code: Select all

``````x = 3, y = 5, rule = B2-a3y4ek5ny/S12a4a
obo\$bo2\$bo\$obo!
``````

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

danny
Posts: 969
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

### Re: Rules with Failed Quadratic Replicators

LaundryPizza03 wrote:

Code: Select all

``````x = 3, y = 5, rule = B2-a3y4ek5ny/S12a4a
obo\$bo2\$bo\$obo!
``````
p30 puffer, ship and rake:

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``````x = 11, y = 87, rule = B2-a3y4ek5ny/S12a4a
6bo\$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:

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``````x = 77, y = 17, rule = B2-a3y4ek5ny/S12a4a
6bo3bo65bo\$7bobo\$6bo3bo56bo3bo3b2o\$68bobo\$67bo3bo2\$obo\$bo2\$bo\$obo64bo
3bo\$68bobo\$67bo3bo3\$62bo\$60bobo!
``````
she/they // dani

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

LaundryPizza03
Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules with Failed Quadratic Replicators

A p95 replicator described by Mark Niemiec:

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``````x = 2, y = 3, rule = B3/S2ae3aeijr4-ckqy
2o\$2o\$o!
``````

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

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

### Re: Rules with Failed Quadratic Replicators

Research pending for this rule, it's very promising.

Code: Select all

``````#CXRLE Pos=-6,-9
x = 3, y = 2, rule = B2ak3k4cnz5cen/S2-en3cn4cjkny5cen6a
2o\$2bo!
``````

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

### Re: Rules with Failed Quadratic Replicators

A weird one that stabilizes after about 2k generations:

Code: Select all

``````x = 3, y = 2, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
bo\$obo!``````

danny
Posts: 969
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

### Re: Rules with Failed Quadratic Replicators

ygh wrote:A weird one that stabilizes after about 2k generations:

Code: Select all

``````x = 3, y = 2, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
bo\$obo!``````
Breeder:

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``````x = 5, y = 3, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
2ob2o\$bo2bo\$3b2o!
``````
c/11 diagonal spaceship:

Code: Select all

``````x = 8, y = 7, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
5bobo\$5b3o3\$2o\$bo\$2o!
``````
c/2 orthogonal:

Code: Select all

``````x = 5, y = 8, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
3bo\$5o\$3bo3\$3bo\$5o\$3bo!
``````
Fractal:

Code: Select all

``````x = 5, y = 12, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
3b2o\$bo2bo\$2ob2o7\$2ob2o\$bo2bo\$3b2o!
``````
2c/5:

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``````x = 9, y = 3, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
ob3o2bo\$2bo2b4o\$ob3o2bo!
``````
she/they // dani

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

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

### Re: Rules with Failed Quadratic Replicators

The same rule also has a failed Sierpinski builder:

Code: Select all

``````x = 24, y = 1, rule = B3aeijy4ei5e8/S1c23ainry4i5iy6c
3o4b4o10b3o!``````

jimmyChen2013
Posts: 133
Joined: December 11th, 2017, 3:28 am

### Re: Rules with Failed Quadratic Replicators

Code: Select all

``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
Failed Replicator!

Code: Select all

``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
(That I wish was not failed D:)

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Rules with Failed Quadratic Replicators

jimmyChen2013 wrote:

Code: Select all

``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
This rule also has a natural spacefiller, which forms from simply a single tub (as opposed to the barge replicator):

Code: Select all

``````x = 3, y = 3, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bo!
``````
However, when arising from soup it usually also fails due to colliding with debris:

Code: Select all

``````x = 16, y = 16, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
obo3bo7b2o\$ob2obob2o\$5ob4o2bob2o\$3o2bo2b2ob2ob2o\$3o2bo3bo3bo\$bo2b3o2bo
3bo\$2o3bob6o2bo\$o2bo2bo3b2ob2o\$2o2bobo2b2obob2o\$4o4bob3o2bo\$bobo2bo4bo
2bo\$bob6ob4obo\$3obo3b2ob2ob2o\$b3o6b2o\$b2obo2b5o2bo\$bo3bo2bo3bo2bo!
``````

jimmyChen2013
Posts: 133
Joined: December 11th, 2017, 3:28 am

### Re: Rules with Failed Quadratic Replicators

77topaz wrote:
jimmyChen2013 wrote:

Code: Select all

``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
This rule also has a natural spacefiller, which forms from simply a single tub (as opposed to the barge replicator):

Code: Select all

``````x = 3, y = 3, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bo!
``````
However, when arising from soup it usually also fails due to colliding with debris:

Code: Select all

``````x = 16, y = 16, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
obo3bo7b2o\$ob2obob2o\$5ob4o2bob2o\$3o2bo2b2ob2ob2o\$3o2bo3bo3bo\$bo2b3o2bo
3bo\$2o3bob6o2bo\$o2bo2bo3b2ob2o\$2o2bobo2b2obob2o\$4o4bob3o2bo\$bobo2bo4bo
2bo\$bob6ob4obo\$3obo3b2ob2ob2o\$b3o6b2o\$b2obo2b5o2bo\$bo3bo2bo3bo2bo!
``````
well I also posted this on my thread Whitespace viewtopic.php?f=11&t=3293 which is all about the spacefiller
Failed Replicator!

Code: Select all

``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
(That I wish was not failed D:)

muzik
Posts: 3511
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules with Failed Quadratic Replicators

Code: Select all

``````x = 3, y = 3, rule = B2a7e/S1e34
b2o\$obo\$2o!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Rules with Failed Quadratic Replicators

muzik wrote:

Code: Select all

``````x = 3, y = 3, rule = B2a7e/S1e34
b2o\$obo\$2o!``````
Same pattern, different rule produces puffers:

Code: Select all

``````x = 3, y = 3, rule = B2ac3c7e/S1c34
b2o\$obo\$2o!``````

Code: Select all

``````x = 81, y = 96, rule = LifeHistory
58.2A\$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!
``````

AlephAlpha
Posts: 33
Joined: October 6th, 2017, 1:50 am

### Re: Rules with Failed Quadratic Replicators

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

Code: Select all

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