Rules with Failed Quadratic Replicators

For discussion of other cellular automata.
muzik
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Rules with Failed Quadratic Replicators

Post by muzik » September 23rd, 2016, 12:22 pm

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)

Code: Select all

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!

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toroidalet
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Re: Rules with Failed Quadratic Replicators

Post by toroidalet » November 19th, 2016, 2:11 pm

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

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wwei23
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Re: Rules with Failed Quadratic Replicators

Post by wwei23 » August 19th, 2017, 11:26 am

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 ]]

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GUYTU6J
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Re: Rules with Failed Quadratic Replicators

Post by GUYTU6J » September 2nd, 2017, 5:20 am

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!

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Hdjensofjfnen
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Re: Rules with Failed Quadratic Replicators

Post by Hdjensofjfnen » September 2nd, 2017, 2:26 pm

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!

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Hdjensofjfnen
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Re: Rules with Failed Quadratic Replicators

Post by Hdjensofjfnen » September 2nd, 2017, 2:29 pm

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
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Re: Rules with Failed Quadratic Replicators

Post by muzik » September 2nd, 2017, 2:33 pm

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!

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Hdjensofjfnen
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Re: Rules with Failed Quadratic Replicators

Post by Hdjensofjfnen » September 3rd, 2017, 5:53 pm

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!

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Hdjensofjfnen
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Re: Rules with Failed Quadratic Replicators

Post by Hdjensofjfnen » September 3rd, 2017, 9:48 pm

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!

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toroidalet
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Re: Rules with Failed Quadratic Replicators

Post by toroidalet » September 3rd, 2017, 10:53 pm

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

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GUYTU6J
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Re: Rules with Failed Quadratic Replicators

Post by GUYTU6J » October 5th, 2017, 11:06 am

How about this?

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!

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LaundryPizza03
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Re: Rules with Failed Quadratic Replicators

Post by LaundryPizza03 » December 16th, 2017, 10:53 pm

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

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LaundryPizza03
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Re: Rules with Failed Quadratic Replicators

Post by LaundryPizza03 » December 23rd, 2017, 7:20 pm

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

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danny
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Re: Rules with Failed Quadratic Replicators

Post by danny » December 23rd, 2017, 9:37 pm

LaundryPizza03 wrote:

Code: Select all

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

Code: Select all

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:

Code: Select all

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.

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LaundryPizza03
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Re: Rules with Failed Quadratic Replicators

Post by LaundryPizza03 » December 24th, 2017, 11:33 pm

A p95 replicator described by Mark Niemiec:

Code: Select all

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

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KittyTac
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Re: Rules with Failed Quadratic Replicators

Post by KittyTac » December 25th, 2017, 5:58 am

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!

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ygh
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Re: Rules with Failed Quadratic Replicators

Post by ygh » March 2nd, 2018, 8:07 pm

A weird one that stabilizes after about 2k generations:

Code: Select all

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

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danny
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Re: Rules with Failed Quadratic Replicators

Post by danny » March 2nd, 2018, 8:51 pm

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

Code: Select all

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

Code: Select all

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:

Code: Select all

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.

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ygh
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Re: Rules with Failed Quadratic Replicators

Post by ygh » March 2nd, 2018, 9:06 pm

The same rule also has a failed Sierpinski builder:

Code: Select all

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

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jimmyChen2013
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Re: Rules with Failed Quadratic Replicators

Post by jimmyChen2013 » March 12th, 2018, 7:39 am

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:)

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77topaz
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Re: Rules with Failed Quadratic Replicators

Post by 77topaz » March 12th, 2018, 3:12 pm

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!

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jimmyChen2013
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Re: Rules with Failed Quadratic Replicators

Post by jimmyChen2013 » March 12th, 2018, 8:00 pm

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
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Location: Scotland

Re: Rules with Failed Quadratic Replicators

Post by muzik » March 27th, 2018, 6:26 am

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
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Re: Rules with Failed Quadratic Replicators

Post by Gamedziner » March 27th, 2018, 7:27 am

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
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Re: Rules with Failed Quadratic Replicators

Post by AlephAlpha » January 19th, 2019, 8:22 am

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!

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