Rules with interesting replicators

For discussion of other cellular automata.
Yoel
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Re: Rules with interesting replicators

Post by Yoel » April 3rd, 2024, 1:03 am

Code: Select all

x = 21, y = 15, rule = B34cejqtz/S23-a4ceikty
10$6b2o$7b2o$6b2o$6bo!
EDIT

A very messy one in a similar rule:

Code: Select all

x = 17, y = 15, rule = B34ceit6i8/S23-a4ci6ei8
6$7bo$6b3o$5b2obo!

iddi01
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Re: Rules with interesting replicators

Post by iddi01 » April 28th, 2024, 7:46 am

This 2D chaotic replicator:

Code: Select all

x = 2, y = 4, rule = B3-y4ek5y/S2-i34t6c
o$o$2o!
...is only 2 transitions away from this 1D clean replicator:

Code: Select all

x = 2, y = 4, rule = B3-y4e5y6i/S2-i34t6c
o$2o$o!
Both rules are explosive, but the rule in between is not (and quite interesting), despite it may look like so:

Code: Select all

x = 166, y = 67, rule = B3-y4e5y/S2-i34t6c
10$9b2o$9b2o4$9b3o$9bobo2$158b2o$157bo2bo$158b2o4$10b2o$10b2o3$65b2o$
65b2o23bo8bo$90b2o6bobo$90bo8bo30$92b2o$92b2o!
The t is still a failed replicator in that rule.

One transition away from that rule has a puffer which is arguably a failed replicator:

Code: Select all

x = 2, y = 4, rule = B3-y5y/S2-i34t6c
o$2o$o!
Conclusion: the four rules within 2 transitions from one another each surprisingly holds a different kind of (failed) replicator.

But, there are more:
In a rule 3 transitions from the last rule above, there is a totally different kind of failed replicator which would have succeeded its first replication if weren't for four gliders:

Code: Select all

x = 4, y = 3, rule = B34i5y/S2-i34ct6c
b2o$o2bo$b2o!
#C [[ STOP 74 ]]
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

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b-engine
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Re: Rules with interesting replicators

Post by b-engine » April 30th, 2024, 11:26 pm

Is this even a replicator?

Code: Select all

x = 3, y = 4, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5acejn6in78
o$2o$b2o$2o!
Some other stuffs:

Code: Select all

x = 12, y = 94, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5acejn6in78
9bo$9b2o$10b2o$9b2o17$6bo$6b2o$7b2o$6b2o33$7bo$7b2o$8b2o$7b2o13$5bo$5b
2o$6b2o$5b2o15$b2o$2o$bo$2o!
My rules
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Naszvadi
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Re: Rules with interesting replicators

Post by Naszvadi » May 3rd, 2024, 10:38 am

b-engine wrote:
April 30th, 2024, 11:26 pm
Is this even a replicator?

Code: Select all

x = 3, y = 4, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5acejn6in78
o$2o$b2o$2o!
Some other stuffs:

Code: Select all

x = 12, y = 94, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5acejn6in78
9bo$9b2o$10b2o$9b2o17$6bo$6b2o$7b2o$6b2o33$7bo$7b2o$8b2o$7b2o13$5bo$5b
2o$6b2o$5b2o15$b2o$2o$bo$2o!
Period 1756 gun shooting 5c/11 small ship, and an oscillator with period 532:

Code: Select all

x = 1147, y = 3767, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5acejn6in78
894b3o99b3o$892b2ob3o97b3ob2o$892b2o3b2o95b2o3b2o$891b2o2bobo97bobo2b
2o$892bob3o99b3obo$892bo107bo15$897b3o93b3o$895b2ob3o91b3ob2o$895b2o3b
2o89b2o3b2o$894b2o2bobo91bobo2b2o$895bob3o93b3obo$895bo101bo$866bo159b
o$865b3o157b3o$864bo2b2o155b2o2bo$863b2o2b2o155b2o2b2o$864b3obo155bob
3o$865b3o157b3o$869b2ob2o145b2ob2o$870b3o147b3o$765b2ob2o101bo149bo
101b2ob2o$764b3o2bo353bo2b3o$764bo2bo2bo351bo2bo2bo$764b2o4b2o349b2o4b
2o$765bob4o351b4obo$766b4o353b4o3$818bo255bo$817b3o253b3o$763b2o51bo2b
2o251b2o2bo51b2o$762b2o51b2o2b2o251b2o2b2o51b2o$753b3o6bo53b3obo251bob
3o53bo6b3o$752b2ob2o60b3o253b3o60b2ob2o$752b2o3bo63b2ob2o241b2ob2o63bo
3b2o$754bob2o64b3o243b3o64b2obo$752bo3b2o65bo245bo65b2o3bo$752b2o2b2o
377b2o2b2o$754b3o379b3o$755bo381bo10$747b3o393b3o$746bo3bo391bo3bo$
746b2ob2o391b2ob2o6$746b2ob2o391b2ob2o$746bo3bo391bo3bo$747b3o393b3o7$
747b3o393b3o$746bo3bo391bo3bo$746b2ob2o391b2ob2o6$746b2ob2o391b2ob2o$
746bo3bo391bo3bo$747b3o393b3o10$755bo381bo$754b3o379b3o$752b2o2b2o377b
2o2b2o$752bo3b2o65bo245bo65b2o3bo$754bob2o64b3o243b3o64b2obo$752b2o3bo
63b2ob2o241b2ob2o63bo3b2o$752b2ob2o60b3o253b3o60b2ob2o$753b3o6bo53b3ob
o251bob3o53bo6b3o$762b2o51b2o2b2o251b2o2b2o51b2o$763b2o51bo2b2o251b2o
2bo51b2o$817b3o253b3o$818bo255bo3$766b4o353b4o$765bob4o351b4obo$764b2o
4b2o349b2o4b2o$764bo2bo2bo351bo2bo2bo$764b3o2bo353bo2b3o$765b2ob2o101b
o149bo101b2ob2o$870b3o147b3o$869b2ob2o145b2ob2o$865b3o157b3o$864b3obo
155bob3o$863b2o2b2o155b2o2b2o$864bo2b2o155b2o2bo$865b3o157b3o$866bo
159bo$895bo101bo$895bob3o93b3obo$894b2o2bobo91bobo2b2o$895b2o3b2o89b2o
3b2o$895b2ob3o91b3ob2o$897b3o93b3o15$892bo107bo$892bob3o99b3obo$891b2o
2bobo97bobo2b2o$892b2o3b2o95b2o3b2o$892b2ob3o97b3ob2o$894b3o99b3o160$
33b3o32b3o110b3o32b3o$32b2obo34bo110bo34bob2o$31b2o35bobo110bobo35b2o$
32bobo33b2o112b2o33bobo$33b2o182b2o8$11b2o226b2o$9b2obo3b2o216b2o3bob
2o$8bobobo5bo214bo5bobobo$7bo6b2o220b2o6bo$8bobo2b2o2bo2b3o206b3o2bo2b
2o2bobo$9b3o2b3o5bo206bo5b3o2b3o$9b2o4bo4bobo206bobo4bo4b2o$20b2o208b
2o$7b3o26b3o32b3o104b3o32b3o26b3o$8b2o4b2o19b2obo34bo104bo34bob2o19b2o
4b2o$2bo5bobob3o19b2o35bobo104bobo35b2o19b3obobo5bo$bobo4b2ob2o22bobo
33b2o106b2o33bobo22b2ob2o4bobo$ob3o3b2ob2o23b2o176b2o23b2ob2o3b3obo$2o
2b2o3bobo228bobo3b2o2b2o$3obobo3bo230bo3bobob3o$4obo240bob4o$2ob2o242b
2ob2o$2obo244bob2o$bob2o242b2obo$3bo244bo25$3bo244bo$bob2o242b2obo536b
2o32b2o247b2o32b2o$2obo244bob2o533b2obo33b2o245b2o33bob2o$2ob2o242b2ob
2o533bo35b2o247b2o35bo$4obo240bob4o533bobo33bo249bo33bobo$3obobo3bo
230bo3bobob3o534b2o317b2o$2o2b2o3bobo228bobo3b2o2b2o$ob3o3b2ob2o23b2o
176b2o23b2ob2o3b3obo$bobo4b2ob2o22bobo33b2o106b2o33bobo22b2ob2o4bobo$
2bo5bobob3o19b2o35bobo104bobo35b2o19b3obobo5bo$8b2o4b2o19b2obo34bo104b
o34bob2o19b2o4b2o$7b3o26b3o32b3o104b3o32b3o26b3o$20b2o208b2o$9b2o4bo4b
obo206bobo4bo4b2o$9b3o2b3o5bo206bo5b3o2b3o$8bobo2b2o2bo2b3o206b3o2bo2b
2o2bobo$7bo6b2o220b2o6bo$8bobobo5bo214bo5bobobo$9b2obo3b2o216b2o3bob2o
$11b2o226b2o2$790b2o32b2o241b2o32b2o$788b2obo33b2o239b2o33bob2o$788bo
35b2o241b2o35bo$788bobo33bo243bo33bobo$789b2o311b2o2$33b2o182b2o$32bob
o33b2o112b2o33bobo$31b2o35bobo110bobo35b2o$32b2obo34bo110bo34bob2o$33b
3o32b3o110b3o32b3o49$789b2o311b2o$788bobo33bo243bo33bobo$788bo35b2o
241b2o35bo$788b2obo33b2o239b2o33bob2o$790b2o32b2o241b2o32b2o16$786b2o
317b2o$785bobo33bo249bo33bobo$785bo35b2o247b2o35bo$785b2obo33b2o245b2o
33bob2o$787b2o32b2o247b2o32b2o14$943bo5bo$942b3o3b3o$941bo2b2ob2o2bo$
941b2o7b2o$940bo11bo$942b2o5b2o$945bobo$944b2ob2o240$788b2o32b2o245b2o
32b2o$786b2obo33b2o243b2o33bob2o$786bo35b2o245b2o35bo$786bobo33bo247bo
33bobo$787b2o315b2o16$791b2o32b2o239b2o32b2o$789b2obo33b2o237b2o33bob
2o$789bo35b2o239b2o35bo$789bobo33bo241bo33bobo$790b2o309b2o55$790b2o
309b2o$789bobo33bo241bo33bobo$789bo35b2o239b2o35bo$789b2obo33b2o237b2o
33bob2o$791b2o32b2o239b2o32b2o16$787b2o315b2o$786bobo33bo247bo33bobo$
786bo35b2o245b2o35bo$786b2obo33b2o243b2o33bob2o$788b2o32b2o245b2o32b2o
240$944b2ob2o$945bobo$942b2o5b2o$940bo11bo$941b2o7b2o$941bo2b2ob2o2bo$
942b3o3b3o$943bo5bo14$787b2o32b2o247b2o32b2o$785b2obo33b2o245b2o33bob
2o$785bo35b2o247b2o35bo$785bobo33bo249bo33bobo$786b2o317b2o16$790b2o
32b2o241b2o32b2o$788b2obo33b2o239b2o33bob2o$788bo35b2o241b2o35bo$788bo
bo33bo243bo33bobo$789b2o311b2o55$789b2o311b2o$788bobo33bo243bo33bobo$
788bo35b2o241b2o35bo$788b2obo33b2o239b2o33bob2o$790b2o32b2o241b2o32b2o
16$786b2o317b2o$785bobo33bo249bo33bobo$785bo35b2o247b2o35bo$785b2obo
33b2o245b2o33bob2o$787b2o32b2o247b2o32b2o676$944b2ob2o$945bobo$941b2ob
2ob2ob2o$941bo2b2ob2o2bo$942b3o3b3o$943bo5bo793$940b3o7b3o$941b2o7b2o$
944b2ob2o$940bo4bobo4bo$941bo2bo3bo2bo$942b3o3b3o792$944b2ob2o$941b2o
2bobo2b2o$941b3o5b3o$940b2o9b2o$941bo2bo3bo2bo$941bo2bo3bo2bo$942b3o3b
3o135$889b3o109b3o$889bobo109bobo$889bo2b2o105b2o2bo$887bobob3o105b3ob
obo$891b2o107b2o$887b2o3bo107bo3b2o$887b3obo109bob3o$837b3o213b3o$836b
2obo213bob2o$835b2o219b2o$836b2o217b2o$837b5o209b5o$838bob2o209b2obo$
839bo213bo7$892b3o103b3o$892bobo103bobo$892bo2b2o99b2o2bo$890bobob3o
99b3obobo$894b2o101b2o$890b2o3bo101bo3b2o$890b3obo103bob3o$840b3o207b
3o$839b2obo207bob2o$838b2o213b2o$839b2o211b2o$840b5o203b5o$841bob2o
203b2obo$842bo207bo87$842bo207bo$841bob2o203b2obo$840b5o203b5o$839b2o
211b2o$838b2o213b2o$839b2obo207bob2o$840b3o207b3o$890b3obo103bob3o$
890b2o3bo101bo3b2o$894b2o101b2o$890bobob3o99b3obobo$892bo2b2o99b2o2bo$
892bobo103bobo$892b3o103b3o7$839bo213bo$838bob2o209b2obo$837b5o209b5o$
836b2o217b2o$835b2o219b2o$836b2obo213bob2o$837b3o213b3o$887b3obo109bob
3o$887b2o3bo107bo3b2o$891b2o107b2o$887bobob3o105b3obobo$889bo2b2o105b
2o2bo$889bobo109bobo$889b3o109b3o!

FlutterWithKSparkler
Posts: 21
Joined: October 14th, 2023, 12:43 pm
Location: A cottage

Re: Rules with interesting replicators

Post by FlutterWithKSparkler » May 3rd, 2024, 12:40 pm

A quadratic replicator with many short-lived spaceships. Note the envelope.

Code: Select all

x = 4, y = 4, rule = B3-jkry5i/S23-a4iy6cHistory
bo$3o$2b2o$2bo!
This was posted one week ago, a predecessor to a clean quadratic replicator and two gliders.

Code: Select all

x = 4, y = 5, rule = B3-ckq4i5y8/S2-c3-aek4i5c
bo$3o$2b2o$b2o$bo!
#C [[ ZOOM 12 ]]
(*≧▽≦)~Yay

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