ConwayLife.com

Posted: **April 3rd, 2024, 1:03 am**

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!

Posted: **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 ]]

Posted: **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!

Posted: **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!

Posted: **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 ]]

Posted: **May 15th, 2024, 3:16 am**

Quadratic replicator that looks like a loop rule, and it's quite close to Life:

Code: Select all

x = 3, y = 4, rule = B34crz7c/S2-ci3-a4i
2o$b2o$2o$o!

Posted: **May 15th, 2024, 3:25 am**

rabbit wrote: May 15th, 2024, 3:16 am Quadratic replicator that looks like a loop rule, and it's quite close to Life:
Code: Select all
x = 3, y = 4, rule = B34crz7c/S2-ci3-a4i
2o$b2o$2o$o!

Trying to tweak the loop:

Code: Select all

x = 3, y = 4, rule = B34crz7c/S2-ci3-a4i5j
o$2o$b2o$2o!

Code: Select all

x = 3, y = 4, rule = B34crz7c/S2-ci3-a4ci
o$2o$b2o$2o!

Posted: **May 25th, 2024, 8:27 am**

This replicator initially looks chaotic, but then forms a periodic wick:

Code: Select all

x = 5, y = 6, rule = B01e2a3c/S3
bo$4bo$3o$4bo$bo!

Posted: **June 1st, 2024, 2:58 am**

8c/28o replicator with a large sideways spark:

Code: Select all

x = 9, y = 3, rule = B015j/S1e2-ik3-ir5ai
2bo3bo2$obo3bobo!

Posted: **June 8th, 2024, 7:17 am**

Code: Select all

x = 5, y = 6, rule = B2e3aeij4aej5cnqy6akn/S1c2-ik3-aiqr4acjnrz5jknq6eik7e
bobo$bobo$o3bo$o3bo$bobo$bobo!

I find the way the p2 wick is created and burned oddly satisfying. It can also be capped by snakes:

Code: Select all

x = 65, y = 6, rule = B2e3aeij4aej5cnqy6akn/S1c2-ik3-aiqr4acjnrz5jknq6eik7e
10bobo9bobo$10bobo9bobo$2obo5bo3bo7bo3bo35bob2o$ob2o5bo3bo7bo3bo35b2ob
o$10bobo9bobo$10bobo9bobo!

EDIT:

Whoa...

Code: Select all

x = 6, y = 6, rule = B2e3aeik4cjw5acinq6-ei7e8/S1c2ace3eijnr4acijnqz5aejqr6aik7c8
2bo$ob2o$obobo$2b4o2$3b2o!

Combinations result in even weirder growth:

Code: Select all

x = 38, y = 35, rule = B2e3aeik4cjw5acinq6-ei7e8/S1c2ace3eijnr4acijnqz5aejqr6aik7c8
2bo$ob2o$obobo$2b4o2$3b2o24$34bo$32bob2o$32bobobo$34b4o2$35b2o!

Posted: **September 24th, 2024, 1:15 am**

Failed replicator that becomes a diagonal rake:

Code: Select all

x = 3, y = 3, rule = B3-kq4eyz5acy6n8/S2-cn3-aky4ciqty5er6-n78
bo$3o$o!

Posted: **October 30th, 2024, 10:34 pm**

Clean quadratic replicator with sparks that last longer than the underlying engine's p198 cycle. I think this is the minimal clean unit, which would make it Q-type with speed 70c/792d:

Code: Select all

x = 93, y = 95, rule = B01e2-a35akq6n/S14aejqw5j
42bo27bo$40bo31bo$40bo2bo25bo2bo$28b2o12bo27bo12b2o$28b3o51b3o$22bo6b
3o49b3o6bo$20b2obo3b2ob3o47b3ob2o3bob2o$21b11o49b11o$20b2obo3b2ob3o47b
3ob2o3bob2o$22bo6b3o49b3o6bo$28b3o51b3o$28b2o12bo27bo12b2o$40bo2bo25bo
2bo$40bo31bo$42bo27bo12$12bobo$12b2o$10b4obo$11bo2bo$9b3o3$5bo$4bo4b2o
bo$6b5obob2o$o6b5ob2o$6bob5obo$bo4b10o$3b2o2b9o$2bob3obob6o$3b3obo2b6o
$3b4o2b7o$3b3obo2b6o$2bob3obob6o$3b2o2b9o$bo4b10o$6bob5obo$o6b5ob2o$6b
5obob2o$4bo4b2obo$5bo3$9b3o$11bo2bo$10b4obo$12b2o$12bobo12$42bo27bo$
40bo31bo$40bo2bo25bo2bo$28b2o12bo27bo12b2o$28b3o51b3o$22bo6b3o49b3o6bo
$20b2obo3b2ob3o47b3ob2o3bob2o$21b11o49b11o$20b2obo3b2ob3o47b3ob2o3bob
2o$22bo6b3o49b3o6bo$28b3o51b3o$28b2o40bo12b2o$38b2o29bo2bo$72bo$38bo
31bo6$37bobo2bo$39bobobo$38bob4o$42bo$40bo!

Posted: **November 21st, 2024, 8:07 pm**

Just a 10c/31 glider-emitting replicator:

Code: Select all

x = 4, y = 5, rule = B3-cy4nw5a6c7c8/S234cz5qr6i7e8
b2o$o2bo$o2bo$o2bo$b2o!

EDIT: Fixed typo

Posted: **November 22nd, 2024, 5:59 am**

wwei47 wrote: November 21st, 2024, 8:07 pm Just a 10/31 glider-emitting replicator:
Code: Select all
x = 4, y = 5, rule = B3-cy4nw5a6c7c8/S234cz5qr6i7e8
b2o$o2bo$o2bo$o2bo$b2o!

Love it. Gunnable:

Code: Select all

x = 34, y = 34, rule = B3-cy4nw5a6c7c8/S234cz5qr6i7e8
11b2o$10bo2bo$10bo2bo$10bo2bo$11b2o6$b3o$o3bo$o3bo$b3o7$30b3o$29bo3bo$
29bo3bo$30b3o6$21b2o$20bo2bo$20bo2bo$20bo2bo$21b2o!

Posted: **November 23rd, 2024, 6:03 pm**

10c/31 footprint-XORing replicator:

Code: Select all

x = 4, y = 5, rule = B3-c4nw5jq6ack8/S234cjz5kr6i7e8
b2o$o2bo$o2bo$o2bo$b2o!

Note to self: Try not to accidentally post replicators in the NRSS thread.
EDIT: 4c/8 wave-emitting replicator:

Code: Select all

x = 4, y = 5, rule = B2i3-ckr4acekw5ac6ce/S1c23-a4cqz5q6i
b2o$o2bo$o2bo$o2bo$b2o!

Edit 2: 6c/22 glider-emitting replicator:

Code: Select all

x = 6, y = 5, rule = B34cq5k6e7c/S235ck6ck7e
2b2o$bo2bo$o4bo$bo2bo$2b2o!

Edit 3: 18c/66 pascal mod 3 replicator:

Code: Select all

x = 6, y = 5, rule = B3-k4y5k/S236ce7e
2b2o$bo2bo$o4bo$bo2bo$2b2o!

Edit 4: 6c/22 pascal mod 3 replicator:

Code: Select all

x = 6, y = 5, rule = B34y5ak/S235a6aci7
2b2o$bo2bo$o4bo$bo2bo$2b2o!

Edit 5: Another one with an insane phase shift of 10 generations:

Code: Select all

x = 6, y = 5, rule = B3-k4cq5kn6a7c/S234q5ac6cin7
2b2o$bo2bo$o4bo$bo2bo$2b2o!

Edit 6: Corrected stated phase shift
Edit 10: I've just decided to move all fractal-generating replicators to the fractal thread.
Edit 11: 18c/66 pascal mod 3 replicator:

Code: Select all

x = 6, y = 5, rule = B3-k5a6an/S235ac6ace7e8
2b2o$bo2bo$o4bo$bo2bo$2b2o!

Edit 12: Old discovery under new review: this replicator is nonanalytic since both the 6th and 7th cycle have a replicator directly in the center, which can't be represented on a "Margolus grid".

Code: Select all

x = 36, y = 52, rule = B2e3eijq5y6i7c8/S1c2ac3aq5c8
17b2o$16bo2bo$17b2o4$15b2o2b2o$14bo2b2o2bo$15b2o2b2o3$17b2o$13b2o6b2o$
12bo2bo4bo2bo$13b2o6b2o$17b2o3$11b2o2b2o2b2o2b2o$10bo2b2o2b2o2b2o2bo$
11b2o2b2o2b2o2b2o3$13bo8bo$9b2o4b2o2b2o4b2o$8bo2bo2bo2b2o2bo2bo2bo$9b
2o4b2o2b2o4b2o$13bo8bo3$7b2o2b2o3bo2bo3b2o2b2o$6bo2b2o2bo2b4o2bo2b2o2b
o$7b2o2b2o3bo2bo3b2o2b2o3$9b2o14b2o$5b2o10b2o10b2o$4bo2bo4bo3bo2bo3bo
4bo2bo$5b2o10b2o10b2o$9b2o14b2o3$3b2o2b2o6b2o2b2o6b2o2b2o$2bo2b2o2bo4b
o2b2o2bo4bo2b2o2bo$3b2o2b2o6b2o2b2o6b2o2b2o3$5b2o10b2o10b2o$b2o6b2o2b
2o6b2o2b2o6b2o$o2bo4bo2b2o2bo4bo2b2o2bo4bo2bo$b2o6b2o2b2o6b2o2b2o6b2o$
5b2o10b2o10b2o!

Edit 13: 2020 me needs to label their patterns. Two wave-producing replicators hiding in an old post without a label.
viewtopic.php?&p=108467#p108674

Posted: **January 18th, 2025, 8:37 am**

Front 2c/5, back c/4:

Code: Select all

x = 3, y = 4, rule = B3-nqr4ac5an/S2-i3-aey4acjn5in
2o$obo$obo$2o!

Posted: **January 21st, 2025, 11:58 am**

More stuff that doesn't seem to have made it off the discord.
4c/15 pascal mod 3 replicator:

Code: Select all

x = 4, y = 3, rule = B3-qy4ajknq5ackry6in7c8/S23-cejk4kt5ack6n7c
b2o$o2bo$b2o!

3c/10 pascal mod 3 replicators:

Code: Select all

x = 5, y = 3, rule = B3-cey4cekqty5iy6ce7c/S2-in3-e4cjtw6aik7e
bobo$obobo$bobo!

Code: Select all

x = 5, y = 3, rule = B3-ceky4ceijkt5ekq6cik/S23-ekr4ny5qy6aci
bobo$obobo$bobo!

Code: Select all

x = 5, y = 3, rule = B3-knqy4intwz5-ei6aik7/S2-in3nqy4-actw5cekr6ein7e
bobo$obobo$bobo!

Code: Select all

x = 5, y = 3, rule = B3-cjry4ceikt5aiq6i7e8/S2-k3ajnry4-aceqy5-aejq6ci8
bobo$obobo$bobo!

3c/10 chaotic replicator:

Code: Select all

x = 5, y = 3, rule = B2in3aijn4cen5eijny6in78/S2-ik3-aiq4nqrtwz5cejnq6cn7e8
bobo$obobo$bobo!

EDIT: More discord stuff:
3c/13 XOR wave-producing replicator:

Code: Select all

x = 5, y = 3, rule = B2n3-q4ejkz5-cjq6ci7c8/S2ace3-aer4-aceqy5ejr6kn8
bobo$obobo$bobo!

3c/13 r=3/2 W4124 replicators:

Code: Select all

x = 5, y = 3, rule = B3-cekq4eqrw5inqry6ae8/S2cek3-ar4ciknty5ceiy6-c7c8
bobo$obobo$bobo!

Code: Select all

x = 5, y = 3, rule = B3-ejq4einrtwz5-ery6-k78/S2ace3cinr4ijnqwz5ceqy6c7
bobo$obobo$bobo!

3c/10 pascal mod 3 replicator:

Code: Select all

x = 5, y = 3, rule = B2i3-ceqy4ejkrw5einy6-ce/S2-k3-iknq4rw5acijy6a7e8
bobo$obobo$bobo!

9c/30 pascal mod 3 replicator:

Code: Select all

x = 4, y = 3, rule = B3-kn4e5y6k8/S23-er4ejt6i
b2o$o2bo$b2o!

Posted: **January 21st, 2025, 12:47 pm**

wwei47 wrote: January 21st, 2025, 11:58 am More stuff that doesn't seem to have made it off the discord. [...]

Many of these trigger a "So what?" question in the mind. Surely it can be interesting at first, and I guess it can be interesting to those who are really into collecting many examples. However, for an average forum reader, it basically looks and feels like rows of examples of the same concept.

I'm not exactly opposed to collecting lots of examples of the same thing, but there has to be a much better way of doing that. People who are contributing to the 5S project have what I believe to be a much better way of sharing their contributions (check posts in the 5S forum thread).

For another example, check viewtopic.php?f=11&t=6026#p201987 "Thread for your completed searches using any software". In the most recent post there for example, I didn't post an Annoyingly Long Row of Short Snippets(TM). Instead I posted one example, then attached raw search results in an attachment, and posted filtered results as a single snippet with one result per line.

Here in this thread, I see many snippets that contain the same initial pattern, except with differing rulestrings specified. It would be enough to post a single snippet with one result per line, people who care about collecting/investigating replicators should be able to use that without difficulty. A few especially interesting examples could be posted separately, but posting all of them in separate snippets quickly becomes annoying.

Posted: **January 22nd, 2025, 1:16 pm**

A very common replicator found in B2e3ceiq5-y678/S2-a3:

Code: Select all

x = 5, y = 5, rule = B2e3ceiq5-y678/S2-a3
3bo$b2obo$bobo$obo$bo!

Posted: **February 2nd, 2025, 4:37 pm**

Replicator that leaves decaying wicks behind:

Code: Select all

x = 4, y = 6, rule = B2ei3aiy4ejn6k/S1e2-ci3-cinq4acijknz5e78
$bo$obo$obo$bo!

Posted: **February 6th, 2025, 5:21 am**

Note that the rule is self-complementary:

Code: Select all

x = 23, y = 59, rule = R2,C0,S9-19,21-24,B4,16-24
10$12bo$12bo$12bo$9b2obob2o3$9b2obob2o$12bo$12bo$12bo10$12bo$12bo$12bo
$9b2obob2o3$9b2obob2o$12bo$12bo$12bo!

Posted: **February 17th, 2025, 12:31 am**

hth wrote: February 17th, 2024, 7:29 am This rule has a simple line-of-six replicator:
Code: Select all
x = 6, y = 1, rule = B2n3/S2ai35
6o!

Flipping a few transitions yielded me a 9c/42 order-4 replicator:

Code: Select all

x = 6, y = 1, rule = B2n36i/S2ai3-c57e
6o!

EDIT: Modifying a replicator from viewtopic.php?f=11&t=1971&p=141083&hili ... 31#p141125 gives an order-1 replicator which also seems surprisingly rare.

Code: Select all

x = 4, y = 1, rule = B2ek3aeik4aekr5jkn6i7e/S1e2ain3eir4eikt
4o!

Posted: **February 19th, 2025, 8:15 am**

All of the below were found using EPE+a script to view random results quickly.

Interesting looking failedrep:

Code: Select all

x = 3, y = 4, rule = B3aijr4iqz5ery6c7c/S2-i3-a4ci5aeqr6a7c
o$2o$b2o$2o!

This one is failed, but for some reason it doesn't create debris for a while, and grows in a sort of cat pupil shape:

Code: Select all

x = 3, y = 4, rule = B3aijr4iq5ey7c/S2-i3-ay4ei5ciqr6ik
o$2o$b2o$2o!

Wiggly oblique replicator wick that generates streams of ships:

Code: Select all

x = 3, y = 4, rule = B3aijr4iq5er7c/S2-i3-a4ei5cqr6ack7
o$2o$b2o$2o!

Linear rep that has interesting gaps appear and disappear in its output:

Code: Select all

x = 3, y = 4, rule = B3aijry4ceiq5r7c/S2-i3-a4ci5eijkq6k7c
o$2o$b2o$2o!

Nonstandard clean linear rep:

Code: Select all

x = 12, y = 4, rule = B3aijry4iqz5y7c8/S2-i3-a4i5aikqr7c
2bo6bo$b2o6b2o$2o8b2o$b2o6b2o!

Another nonstandard linear rep:

Code: Select all

x = 3, y = 4, rule = B3aijr4iq5ery7c/S2-i3-a4i5ijq6aik
o$2o$b2o$2o!

Nice 2D rep:

Code: Select all

x = 3, y = 4, rule = B3aijr4eiqz5r7c/S2-i3-a4ei5cijkq6ck7e
o$2o$b2o$2o!

Really bizarre 2D rep that fails pretty late. I don't think it can be saved, which is a shame:

Code: Select all

x = 3, y = 4, rule = B3aijr4iqz5ry6c7c8/S2-i3-a4i5-ny6-in7c
o$2o$b2o$2o!

Very satisfying clean oblique 2D rep:

Code: Select all

x = 3, y = 4, rule = B3aijr4iqz5ery6c7c/S2-i3-a4ci5aijqr6ae
o$2o$b2o$2o!

Insane 2D rep:

Code: Select all

x = 3, y = 4, rule = B3aijr4eiq5ey6ci7c/S2-i3-a4cei5cijq6ak7e8
o$2o$b2o$2o!

Similar but diagonal:

Code: Select all

x = 3, y = 4, rule = B3aijr4eiqz5ery6c7c8/S2-i3-ay4i5-cnry6ai7
o$2o$b2o$2o!

Similar, but moving in the opposite direction:

Code: Select all

x = 3, y = 4, rule = B3aijry4iq5e6i7c/S2-i3-a4ei5acijq6ac
o$2o$b2o$2o!

The growth rate of the above seems to be somewhere around t^1.3 if measured at t = 2^n. I'm not really sure what it is exactly, but I imagine it is analytic.

Strange looking loops:

Code: Select all

x = 3, y = 4, rule = B3aijr4iq5r6c7c8/S2-i3-ay4i5aeikq6-an7
o$2o$b2o$2o!

Time offset, doubly oblique, clean linear rep:

Code: Select all

x = 3, y = 4, rule = B3aijr4iqz6i7c/S2-i3-ay4ei5acijq6aek7c
o$2o$b2o$2o!

Also very time offset:

Code: Select all

x = 3, y = 4, rule = B3aijry4iqz5er6ci7c/S2-i3-ay4ei5-ckny6aci7c
o$2o$b2o$2o!

Chaotic yet clean 2D rep, somehow. This is probably the weirdest result here:

Code: Select all

x = 3, y = 4, rule = B3aijr4iq5ry7c/S2-i3-a4cei5akq6-en7
o$2o$b2o$2o!

I really wish this didn't break:

Code: Select all

x = 3, y = 4, rule = B3aijr4eiq5ry6ci7c/S2-i3-a4ei5ajkqr6ak7c
o$2o$b2o$2o!

Double forward Sierpinski replicators:

Code: Select all

x = 3, y = 4, rule = B3aijr4ceiqz5r7c/S2-i3-a4i5eijkq6aei
o$2o$b2o$2o!

Kindly printing out the evolution of whatever 1D rule this is:

Code: Select all

x = 3, y = 4, rule = B3aijry4iqz5y6i7c/S2-i3-a4ci5ajq6aei
2o$b2o$2o$o!

Yet another 2D rep type I have never seen:

Code: Select all

x = 3, y = 4, rule = B3aijr4ciq5ey7c8/S2-i3-ay4i5ekq6ei
o$2o$b2o$2o!

Space nonfillers?

Code: Select all

x = 3, y = 4, rule = B3aijr4ceiq5y6c7c/S2-i3-a4ci5aciqr6k8
2o$b2o$2o$o!

Different nonstandard clean 2D:

Code: Select all

x = 3, y = 4, rule = B3aijr4ceiq5er6i7c/S2-i3-a4ei5-ekny
2o$b2o$2o$o!

Similar to some of the previous 'insane' ones, but in a diamond shape:

Code: Select all

x = 3, y = 4, rule = B3aijry4ciqz5ry6ci7c/S2-i3-ay4i5ceijq6aei7c8
2o$b2o$2o$o!

Similar to a Zhabotinsky spiral:

Code: Select all

x = 3, y = 4, rule = B3aijr4eiqz5e6i7c/S2-i3-a4ei5ijq6e8
2o$b2o$2o$o!

Code: Select all

x = 3, y = 4, rule = B3aijry4eiqz5ery6ci7c/S2-i3-a4i5-ijny6ac78
2o$b2o$2o$o!

Another clean chaos rep, that looks almost like it's from a MAP rule:

Code: Select all

x = 3, y = 4, rule = B3aijry4ceiqz5er6ci7c/S2-i3-a4ci5ceiq6ack7
2o$b2o$2o$o!

EDIT, another weird one:

Code: Select all

x = 3, y = 4, rule = B3aijry4eiqz5e6c7c/S2-i3-ay4i5-ejny6aik7e
2o$b2o$2o$o!

EDIT2, another clean, but unusual triangle:

Code: Select all

x = 3, y = 4, rule = B3aijry4eiq5y6c7c/S2-i3-a4i5eijq6ak7e
2o$b2o$2o$o!

Posted: **February 27th, 2025, 12:10 am**

By LuveelVoom. A 3c/8 HROT replicator that appears to embed a 3-state high-range Wolfram rule. Note that the 3rd state is "auxillary"; it represents some sparks destroying a few replicator copies.

Code: Select all

x = 1, y = 6, rule = R3,C0,S3-6,B6
o$o$o$o$o$o!

EDIT: "||potatoes||" on discord graphed out this replicator, where the light cells are replicator-destroying sparks.

Code: Select all

x = 71, y = 36, rule = B/S012345678History
35.A$34.A.A$33.A3.A$32.A5.A$31.A7.A$30.A.A.C.C.A.A$29.A11.A$28.A.A9.A
.A$27.A3.A7.A3.A$26.A5.A.C.C.A5.A$25.A19.A$24.A.A17.A.A$23.A3.A15.A3.
A$22.A5.A13.A5.A$21.A7.A11.A7.A$20.A.A.C.C.A.A9.A.A.C.C.A.A$19.A11.A
7.A11.A$18.A.A9.A.A.C.C.A.A9.A.A$17.A3.A7.A11.A7.A3.A$16.A5.A.C.C.A.A
9.A.A.C.C.A5.A$15.A15.A7.A15.A$14.A.A13.A.A.C.C.A.A13.A.A$13.A3.A11.A
11.A11.A3.A$12.A5.A9.A.A9.A.A9.A5.A$11.A7.A7.A3.A7.A3.A7.A7.A$10.A.A.
C.C.A.A.C.C.A5.A.C.C.A5.A.C.C.A.A.C.C.A.A$9.A51.A$8.A.A49.A.A$7.A3.A
47.A3.A$6.A5.A45.A5.A$5.A7.A43.A7.A$4.A.A.C.C.A.A41.A.A.C.C.A.A$3.A
11.A39.A11.A$2.A.A9.A.A37.A.A9.A.A$.A3.A7.A3.A35.A3.A7.A3.A$A5.A.C.C.
A5.A33.A5.A.C.C.A5.A!

I made the observation that if you delete the odd generations and remove the (now-blank) odd columns, you get this.

Code: Select all

x = 35, y = 18, rule = B/S012345678History
17.A$16.A.A$15.A3.A$14.A5.A$13.A.A3.A.A$12.A9.A$11.A.A7.A.A$10.A3.A5.
A3.A$9.A5.A3.A5.A$8.A.A3.A5.A3.A.A$7.A7.A3.A7.A$6.A.A5.A5.A5.A.A$5.A
3.A3.A.A3.A.A3.A3.A$4.A25.A$3.A.A23.A.A$2.A3.A21.A3.A$.A5.A19.A5.A$A.
A3.A.A17.A.A3.A.A!

Which means that this replicator embeds r=3/2 W4124 "from above"; this is similar to how many XOR replicators embed W90 from r=1/2 W6. While I have seen many r=3/2 W4124 replicators before, I have *not* ever seen one embedded "from above" the way this one is.

Posted: **March 5th, 2025, 11:41 am**

AforAmpere wrote: February 19th, 2025, 8:15 am
I really wish this didn't break:
Code: Select all
x = 3, y = 4, rule = B3aijr4eiq5ry6ci7c/S2-i3-a4ei5ajkqr6ak7c
o$2o$b2o$2o!

Maybe use second order CA?

ConwayLife.com

Rules with interesting replicators

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Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators

Re: Rules with interesting replicators