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Re: Rules with interesting replicators

Posted: June 11th, 2021, 8:44 am
by LaundryPizza03
yujh wrote: June 5th, 2021, 1:05 am Edit: almost stabalized

Code: Select all

x = 146, y = 118, rule = B3-kqy4ky5cjy6-ai8/S2-i3-ak4iqy5cjq6aik7c
105bo11bo$104bobo9bobo$103bo3bo7bo3bo$103b2ob2o7b2ob2o$109b2ob2o$110bo
bo$109b2ob2o$103b2ob2o7b2ob2o$103bo3bo7bo3bo$104bobo9bobo$91b2ob2o9bo
11bo$92bobo$91b2ob2o14bobo$100b2ob2o5b3o$101bobo$100b2ob2o5b3o$91b2ob
2o14bobo$92bobo$91b2ob2o7$3o$obo3$36b2o$36bo$36b2o2$38bo2$33b2ob2o$34b
obo$33b2ob2o48$122b2ob2o13b2ob2o$121b2o3b2o11b2o3b2o$122b2ob2o13b2ob2o
3$123bobo15bobo$123b3o5b2ob2o5b3o$132bobo$123b3o5b2ob2o5b3o$123bobo15b
obo3$122b2ob2o13b2ob2o$121b2o3b2o11b2o3b2o$122b2ob2o5bobo5b2ob2o$132b
3o2$132b3o$122b2ob2o5bobo5b2ob2o$121b2o3b2o11b2o3b2o$122b2ob2o13b2ob2o
3$123bobo15bobo$123b3o5b2ob2o5b3o$132bobo$123b3o5b2ob2o5b3o$123bobo15b
obo3$122b2ob2o13b2ob2o$121b2o3b2o11b2o3b2o$122b2ob2o13b2ob2o!

Code: Select all

x = 146, y = 124, rule = B3-kqy4eky5cjy6-ai8/S2-i3-ak4eiqy5cjq6aik7c
19b2o$18b4o$18b4o$19b2o3$105bo11bo$104bobo9bobo$103bo3bo7bo3bo$103b2ob
2o7b2ob2o$109b2ob2o$110bobo$109b2ob2o$103b2ob2o7b2ob2o$103bo3bo7bo3bo$
104bobo9bobo$91b2ob2o9bo11bo$92bobo$91b2ob2o14bobo$100b2ob2o5b3o$101bo
bo$100b2ob2o5b3o$91b2ob2o14bobo$92bobo$91b2ob2o7$3o$obo3$36b2o$36bo$
36b2o2$38bo2$33b2ob2o$34bobo$33b2ob2o48$122b2ob2o13b2ob2o$121b2o3b2o
11b2o3b2o$122b2ob2o13b2ob2o3$123bobo15bobo$123b3o5b2ob2o5b3o$132bobo$
123b3o5b2ob2o5b3o$123bobo15bobo3$122b2ob2o13b2ob2o$121b2o3b2o11b2o3b2o
$122b2ob2o5bobo5b2ob2o$132b3o2$132b3o$122b2ob2o5bobo5b2ob2o$121b2o3b2o
11b2o3b2o$122b2ob2o13b2ob2o3$123bobo15bobo$123b3o5b2ob2o5b3o$132bobo$
123b3o5b2ob2o5b3o$123bobo15bobo3$122b2ob2o13b2ob2o$121b2o3b2o11b2o3b2o
$122b2ob2o13b2ob2o!
Adding S8 or removing S4e from this rule also works, but not both since doing so adds this linear replicator.

Code: Select all

x = 8, y = 8, rule = B3-kqy4ky5cjy6-ai8/S2-i3-ak4eiqy5cjq6aik7c8
2bo2$obobo$3bobo$2bobo$3bobobo2$5bo!
Also, both this rule and the version with S8 add a p164 oscillator and a 3c/82d not present in the original rule:

Code: Select all

x = 20, y = 4, rule = B3-kqy4eky5cjy6-ai8/S2-i3-ak4eiqy5cjq6aik7c
3o$bo15bobo$2b2o11b2obo$2bo12bob3o!

Re: Rules with interesting replicators

Posted: June 11th, 2021, 8:51 am
by yujh
LaundryPizza03 wrote: June 11th, 2021, 8:44 am snip
Unluckily, I've searched some non-explosive rules days ago, I guess I probably have found them.
Here, What is this?

Code: Select all

x = 3, y = 3, rule = B2k3-qy/S2-n3ijkqr4ir6aen
bo$b2o$o!
(modified from one of GUYTU6J's from
GUYTU6J wrote: October 20th, 2019, 7:49 am EDIT: this family of chaotic 1d prepond replicators:

Code: Select all

x = 3, y = 3, rule = B2k3-qy4c/S2-n3ijkqr4ir6ae
bo$b2o$o!

Code: Select all

x = 3, y = 3, rule = B2k3-qy/S2-n3ijkqr4ir6ae
bo$b2o$o!

Code: Select all

x = 3, y = 3, rule = B2k3-qy6i/S2-n3ijkqr4ir5n6a
bo$b2o$o!
)

Re: Rules with interesting replicators

Posted: June 12th, 2021, 8:52 am
by Pds314
I found a P52 dirty replicator which survives for a long but unpredictable amount of time in large toroids even in a field of blocks generated by its own debris. I'm not sure how to use viewer but the rule where it frequently spawns naturally from 50% randomness is B34567/S238/3

I ran a 3000x3000 toroid for 4 million generations and it is still alive but still sparsely populated, which is kind of interesting because you'd think it would either die out or fill the entire world with replicators and flame but it's just on the margin of survival in its own debris.
Screenshot_20210612-054852_Golly.jpg
Screenshot_20210612-054852_Golly.jpg (405.04 KiB) Viewed 5341 times

Re: Rules with interesting replicators

Posted: June 12th, 2021, 9:06 am
by Pds314
Example of the low replicator density characteristic of B34567/S238/3.
30000 generations into a 1000x1000 toroid of 50% random fill.

It does vary a lot but this is what it looks like at a relatively low point.
Screenshot_20210612-060457_Golly.jpg
Screenshot_20210612-060457_Golly.jpg (342.95 KiB) Viewed 5339 times
And here is 40000 generations. A somewhat higher population density
Screenshot_20210612-060958_Golly.jpg
Screenshot_20210612-060958_Golly.jpg (386.46 KiB) Viewed 5339 times
This pattern continued to self-replicate out to 185000 generations before dying out. Going back and deleting a single replicator at generation 120000 changed the lifespan to 155000 though, so there's some evidence that it's very chaotic, as a single replicator managed to change the lifespan of the world by 30000 generations only 35000 generations later.

Re: Rules with interesting replicators

Posted: June 12th, 2021, 10:31 am
by FWKnightship
6-engine 13c/104d spaceship:

Code: Select all

x = 96, y = 89, rule = 238/34567/3
31.2A11.2A$30.A2B9.2A2BA$29.A2BA8.A3BA$28.ABABA7.2A.BA$29.ABA8.B.AB$
30.A6$15.A25.A$14.A.A23.3A$13.A.A.A23.A$12.A3.A21.A$12.B.BA21.3A$38.A
16.2A$55.2A6$18.3A28.2A$12.3A2.BABA28.2A$11.4AB2.3A$10.A7.A$9.A.A5.A$
3.2A4.2A.2B.BA14.AB11.BA$2.A2B4.2A5.A13.A15.A8.2A11.2A$.A2BA4.2AB3.B
13.A2.B11.B2.A7.2A11.2A$ABABA5.3A2.2A11.A.A.A11.A.A.A$.ABA7.A3.B13.A.
A13.A.A$2.A27.A15.A9$17.2A62.2A$17.2A62.2A4$38.A$10.2A11.2A12.3A$10.
2A11.2A11.A3.B$35.2A$34.B2A$37.B.B29.AB11.BA$40.A27.A15.A$40.A26.A2.B
11.B2.A$36.B2.B26.A.A.A11.A.A.A7.2A$67.A.A13.A.A8.2A$68.A15.A4$23.2A$
23.2A$51.A$50.A.A$49.A.A.A$48.A3.A$48.B.BA7$36.2A$36.2A4$48.B.BA$48.A
3.A$49.A.A.A$50.A.A$51.A4$49.2A$49.2A!
EDIT:5-engine:

Code: Select all

x = 84, y = 79, rule = 238/34567/3
33.B23.B$31.3A23.3A$31.3A24.2A$33.3A22.3A$33.3A24.A$32.2A27.A$32.2A
24.B3.B2$52.A$50.4A$12.AB11.BA5.2A16.2B2.B2.B$11.A15.A4.2A16.ABA4.A$
10.A2.B11.B2.A4.3A15.2AB2.2A$9.A.A.A11.A.A.A3.3A20.BA$10.A.A13.A.A2.
3A20.B4A$11.A15.A3.3A21.A3.B$33.B22.B$52.2A.A$51.A2.A.B2.B$43.2A6.A2B
2A2.B$43.2A6.A2BA$50.2A2.2A$51.B2.A$53.B8$2.B$3A53.2A$3A53.2A15.2A$2.
3A68.2A$2.3A18.A14.A$.2A13.2A4.2AB12.A.A$.2A12.B2.B3.A13.A.A.A$15.A
19.A3.A$15.BAB3.B2.B10.B.BA28.3A$16.A5.2A42.2ABA$.2A62.4A$.2A62.ABA$
2.3A7.3AB49.A2B$2.3A7.AB.2A48.A2BA$3A10.A2B3A46.AB2.B$3A11.A4BA43.B.
2B2.B$2.B12.A3BA45.2A$16.3A44.A.A4.B$63.2A4.A$25.2A41.B$25.2A8.B.BA
15.A$35.A3.A13.A.A$36.A.A.A11.A.A.A$37.A.A11.A3.A$38.A12.B.BA$79.B$
77.AB2A$77.A2BA$75.5A2.B$74.2B2A4.2A$76.B3A2.2A$73.B2.A3BA$38.2A34.A
2.2BA$38.2A35.B2.2A$79.B$79.A$26.2A23.B.BA24.B$26.2A23.A3.A$52.A.A.A$
53.A.A$54.A6$51.2A$51.2A!
EDIT2:4-engine:

Code: Select all

x = 59, y = 68, rule = 238/34567/3
36.2A11.2A$36.2A11.2A$34.3A13.3A$34.3A13.3A$34.3A2.B7.B2.3A$36.B3.B5.
B3.B8$47.A$46.A.B$45.A$44.2A2.B$45.2A4$52.2A$52.2A$24.A$23.A.A$23.A2.
A$23.2A2.A16.2A$24.B2.A16.2A$26.A$24.BA4$24.BA$2.2A11.2A9.A$2.2A11.2A
7.B2.A$3A13.3A4.2A2.A$3A13.3A4.A2.A$3A2.B7.B2.3A4.A.A$2.B3.B5.B3.B7.A
$57.2A$57.2A2$44.A$43.A.A$43.A2.A$43.2A2.A$44.B2.A$28.A17.A$27.B.B14.
BA2$27.BAB3.2A$28.A4.2A$44.BA$29.B16.A$28.2A14.B2.A$7.3A17.2A14.2A2.A
$6.A3B4.B2.B8.BA15.A2.A$5.A3BAB2.2A2.2A24.A.A$5.5A3.2A2.B26.A$5.2A.B$
5.B2.2A$7.2A$5.B2A$6.A39.2A$46.2A$11.2A$11.2A!

Re: Rules with interesting replicators

Posted: June 12th, 2021, 10:58 am
by AbhpzTa
2-engine:

Code: Select all

x = 36, y = 31, rule = 238/34567/3
22.ABA5.ABA$20.2A2BA5.A2B2A$19.A4BA5.A4BA$19.AB3AB5.B3ABA4$18.A$17.A.
A$16.A.A.A$15.A5.A$14.A2.BAB2.A$14.A7.A$.2A12.2A3.2A$A2B13.5A$.2A15.A
3$4.2A$3.3A$.B2.2A$A3.A$.A.A16.3A$2.A17.A2BA$19.5A$18.B$20.B$20.2A$
19.A.A$17.B2.B2A$20.2A!

Re: Rules with interesting replicators

Posted: June 16th, 2021, 2:16 am
by bibunsekibun
163c/341o Replicator

Code: Select all

x = 7, y = 3, rule = B3aiky4ekqrtyz5cijn6ck78/S2c3-y4cejkqt5i6cei7c8
bo3bo$3ob3o$bo3bo!

Re: Rules with interesting replicators

Posted: June 16th, 2021, 3:10 am
by AforAmpere
bibunsekibun wrote: June 16th, 2021, 2:16 am 163c/341o Replicator
That actually ends up dying off completely on generation 298511.

Re: Rules with interesting replicators

Posted: June 16th, 2021, 7:07 am
by jimmyChen2013
AforAmpere wrote: June 16th, 2021, 3:10 am
bibunsekibun wrote: June 16th, 2021, 2:16 am 163c/341o Replicator
That actually ends up dying off completely on generation 298511.
This one looks to be an actual rep:

Code: Select all

x = 7, y = 3, rule = B3aiky4ekqrtyz5cijn6ck78/S2c3-ry4cejkqt5i6cei7c8
bo3bo$3ob3o$bo3bo!
It first appeared unusual since I didn't observe a clear and common replicating pattern in between each "stage" (for lack of a better word; it just mean a simpler and more recognizable pattern such as 2 whitespace seeds far apart)
After further observation I noted that it's actually more of a composite of a simpler rep:

Code: Select all

x = 38, y = 3, rule = B3aiky4ekqrtyz5cijn6ck78/S2c3-ry4cejkqt5i6cei7c8
bo34bo$3o32b3o$bo34bo!
Two faraway exact copies of the above pattern appears at these generations:
95, 1379, 28707, 984746, 95465251, 2027153579
The weirdest thing about this sequence is that the log of that sequence is linear, but not a very good linear: quite curvy, 3 above the trend line and 3 below, and no three points fall strictly in the same line.

On second thought it might not be stable at all. At around 26 trillion gen long lasting oscs occurred (in contrast to temporary ones part of the evolutionary sequence leading to simpler rep). No lasting oscs has been observed before.

EDIT: it becomes stable at precisely 5,835,771,810,201,909,098,096,400,924,737,710!
death pattern.mc
it's a few gens after the precise stabilization moment
(21.23 KiB) Downloaded 136 times
EDIT2: this is the actual rep AforAmpere intended to find:

Code: Select all

x = 7, y = 3, rule = B3aiky4ekqrtyz5cijn6ck78/S2c3-jry4cejkqt5i6cei7c8
bo3bo$obobobo$bo3bo!
but I'd say it's more of a sawtooth

Re: Rules with interesting replicators

Posted: June 20th, 2021, 2:29 am
by Yoel
A messy replicator in a Generations rule somewhat similar to CGOL:

Code: Select all

x = 12, y = 11, rule = 238/34567/3
$3.3A$2.A3BA$2.A3BA$2.5A!
UPDATE:

Sorry, I didn't search the thread and didn't notice that this replicator is been already discussed.

Re: Rules with interesting replicators

Posted: June 20th, 2021, 2:38 am
by yujh
I was just going to notify you that thing :)

Re: Rules with interesting replicators

Posted: June 20th, 2021, 3:19 am
by Yoel
yujh wrote: June 20th, 2021, 2:38 am I was just going to notify you that thing :)
Then this one for replacement.

One of my 3-color symmetrical rules. The name is self-explanatory. :)

Code: Select all

x = 14, y = 13, rule = ReplicatorWar
$10.2A$10.2A$10.2A3$5.3A$5.3A!
EDIT:

This rule is abundant with natural sawtooths resulting from the replicator collisions;

Code: Select all

x = 19, y = 18, rule = ReplicatorWar
4$8.3A$8.3A3$2.3A$2.3A!

Code: Select all

x = 12, y = 14, rule = ReplicatorWar
2$8.3A$8.3A4$2.3A$2.3A!

Code: Select all

x = 36, y = 13, rule = ReplicatorWar
4$5.2A14.2A$6.2A12.2A!

Re: Rules with interesting replicators

Posted: June 30th, 2021, 10:55 am
by kiho park
A rule with fastest moving 1D replicator

Code: Select all

x = 3, y = 3, rule = B01e2ci3-ikqy4acinz5c6ac7c/S012en3cijqy4eijry5ky6k7e
bo$obo$3o!

Edit : It's (8,16)c/16 and euclidean speed is 1.118033988749.

Re: Rules with interesting replicators

Posted: July 13th, 2021, 11:27 pm
by LaundryPizza03
A Platoon-like replicator in a self-complementary rule. This one travels at c/2o and emits gliders and a 3c/15d spaceship.

Code: Select all

x = 5, y = 8, rule = B3-ekqr4ikn5acky6ikn78/S2ace3-acky4-krt5ekqr678
b3o$obobo$5o$5o$b3o$5o$2bo$bobo!

Re: Rules with interesting replicators

Posted: July 14th, 2021, 3:04 am
by LaundryPizza03
kiho park wrote: June 30th, 2021, 10:55 am A rule with fastest moving 1D replicator

Code: Select all

x = 3, y = 3, rule = B01e2ci3-ikqy4acinz5c6ac7c/S012en3cijqy4eijry5ky6k7e
bo$obo$3o!

Edit : It's (8,16)c/16 and euclidean speed is 1.118033988749.
And yet, there's a c/2o all the way out here.

Code: Select all

x = 120, y = 62, rule = B01e2ci3-ikqy4acinz5c6ac7c/S012en3cijqy4eijry5ky6k7e
25b3o$17b2obo2b3obo35b2o$17bobobobobo21b3o10b3obo$12b2ob4ob4o6b3o4b3o
6b2obo10bob4o$7b3o5bob3obobo2bobo3bob2obo4b2obobo10b2o3b3o2b7o$6b2o5bo
b3obobo5b2o5bobob2o2b2obo6bo2bobob4obobobobobobo$5bobobo3bobobobobob3o
b3obo10bo2bo3b2ob2o7bobo6bo2bo$b3obo2b4obo5bob2obo12bo4bo3bobob2obo2b
3o11bob2o2b3o$3o2bo3b2o8b2o2bo2b5obo4b8o8b2o7bobobo2bobob4obo$3o2bo2bo
b2o3b3obo2bo4b3o7b3o5b9o2b3o3bob2o2b3o5bo$b5ob2o3bo6b2obobob2o5bob4ob
4o2bo2b4o8b5o6b5o$4bo4bobo10b2o4bob4o7b2o2b4obo11b3obo7b3obo$3bob4obo
11bob4obob3o8b2ob3obo11bob2o2bo5bobo$3bob4obo11bob4obob3o8b2ob3obo11bo
b2o2bo5bobo$4bo4bobo10b2o4bob4o7b2o2b4obo11b3obo7b3obo$b5ob2o3bo6b2obo
bob2o5bob4ob4o2bo2b4o8b5o6b5o$3o2bo2bob2o3b3obo2bo4b3o7b3o5b9o2b3o3bob
2o2b3o5bo$3o2bo3b2o8b2o2bo2b5obo4b8o8b2o7bobobo2bobob4obo$b3obo2b4obo
5bob2obo12bo4bo3bobob2obo2b3o11bob2o2b3o$5bobobo3bobobobobob3ob3obo10b
o2bo3b2ob2o7bobo6bo2bo$6b2o5bob3obobo5b2o5bobob2o2b2obo6bo2bobob4obobo
bobobobo$7b3o5bob3obobo2bobo3bob2obo4b2obobo10b2o3b3o2b7o$12b2ob4ob4o
6b3o4b3o6b2obo10bob4o$17bobobobobo21b3o10b3obo$17b2obo2b3obo35b2o$25b
3o11$35b3o7b2o4b2o14b2o4b2o7b3o$17b3o2b2o8b2obo4b2ob3ob2o3bob2o8b2obo
3b2ob3ob2o4bob2o8b2o2b3o$15b3ob3ob3o4b3obob2o2b2ob2obo7b2o8b2o7bob2ob
2o2b2obob3o4b3ob3ob3o$12b4obo2b2o2bob2o12bo2b2obo3b3obob8obob3o3bob2o
2bo12b2obo2b2o2bob4o$8b3ob2o2bo4b3obo6bo2bo4bo4b2obo4b14o4bob2o4bo4bo
2bo6bob3o4bo2b2ob3o$7b3o2b2ob2o6b3obo8b7obo4b3ob2ob2o4b2ob2ob3o4bob7o
8bob3o6b2ob2o2b3o$7b2o9bobobo3b2ob3ob4obo4b6obo3b2obo4bob2o3bob6o4bob
4ob3ob2o3bobobo9b2o$b3ob4ob2o5bo3bobo3b4o4b2obobobo3bo4bobo2bo6bo2bobo
4bo3bobobob2o4b4o3bobo3bo5b2ob4ob3o$3o2bo3bo2b2o3b4o4b2o2b2o7b2o4b8obo
bo8bobob8o4b2o7b2o2b2o4b4o3b2o2bo3bo2b3o$3o2bo2bob2obo3b10o3bobo5bo8bo
bobobo2bo6bo2bobobobo8bo5bobo3b10o3bob2obo2bo2b3o$b5ob2o3b3o3b9obobo2b
2ob2o3b2o5b3o2b3obo4bob3o2b3o5b2o3b2ob2o2bobob9o3b3o3b2ob5o$4bo4b5obo
14b3obo2bo3b3o5bo3bo2b2o4b2o2bo3bo5b3o3bo2bob3o14bob5o4bo$3bob7obo2bo
13bob2o8bo6bob2o5b4o5b2obo6bo8b2obo13bo2bob7obo$3bob7obo2bo13bob2o8bo
6bob2o5b4o5b2obo6bo8b2obo13bo2bob7obo$4bo4b5obo14b3obo2bo3b3o5bo3bo2b
2o4b2o2bo3bo5b3o3bo2bob3o14bob5o4bo$b5ob2o3b3o3b9obobo2b2ob2o3b2o5b3o
2b3obo4bob3o2b3o5b2o3b2ob2o2bobob9o3b3o3b2ob5o$3o2bo2bob2obo3b10o3bobo
5bo8bobobobo2bo6bo2bobobobo8bo5bobo3b10o3bob2obo2bo2b3o$3o2bo3bo2b2o3b
4o4b2o2b2o7b2o4b8obobo8bobob8o4b2o7b2o2b2o4b4o3b2o2bo3bo2b3o$b3ob4ob2o
5bo3bobo3b4o4b2obobobo3bo4bobo2bo6bo2bobo4bo3bobobob2o4b4o3bobo3bo5b2o
b4ob3o$7b2o9bobobo3b2ob3ob4obo4b6obo3b2obo4bob2o3bob6o4bob4ob3ob2o3bob
obo9b2o$7b3o2b2ob2o6b3obo8b7obo4b3ob2ob2o4b2ob2ob3o4bob7o8bob3o6b2ob2o
2b3o$8b3ob2o2bo4b3obo6bo2bo4bo4b2obo4b14o4bob2o4bo4bo2bo6bob3o4bo2b2ob
3o$12b4obo2b2o2bob2o12bo2b2obo3b3obob8obob3o3bob2o2bo12b2obo2b2o2bob4o
$15b3ob3ob3o4b3obob2o2b2ob2obo7b2o8b2o7bob2ob2o2b2obob3o4b3ob3ob3o$17b
3o2b2o8b2obo4b2ob3ob2o3bob2o8b2obo3b2ob3ob2o4bob2o8b2o2b3o$35b3o7b2o4b
2o14b2o4b2o7b3o!

Re: Rules with interesting replicators

Posted: October 16th, 2021, 3:55 pm
by Yoel
AforAmpere wrote: January 1st, 2021, 6:28 pm Faster W110 replicator:

Code: Select all

x = 2, y = 3, rule = B2ai3aeir4r5ei/S3e5e6i
o$2o$o!
A variety with interesting guns, ships etc.

Code: Select all

x = 21, y = 35, rule = B2aik3-cnqy4r5/S3e5e6i
2$12bo$11b3o$12bo$11b3o5$12bo$11b3o$12bo$5bobo3b3o$12bo$5b3o3b2o$6bo4b
o$10b3o$11bo$10b3o$11bo5$10b3o$11bo$10b3o$11bo!

Code: Select all

x = 180, y = 44, rule = B2aik3-cnqy4r5/S3e5e6i
7$40bo$39bo2bo$38bobobo$40bobo$36bobo3bo$9bobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
14bobo86bo$15bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobo$14bobo40bo3bobo25bo3bo15bo2bo
bobobobobobobobobobobobobobobobobobobobobobobobobobobo$58bo2bobo27bobo
16bo50bo4bo$57bo3bobo23bobo3bo15bobobobobobobobobobobobobobobobobobobo
bobobobobobobobo!

Code: Select all

x = 40, y = 30, rule = B2aik3-cnqy4r5/S3e5e6i
7$20bobobobobobobobobo$21bo14bo$20b2obobobobobobobo$22bo12bo$21bo2bobo
bobobobo$22bo11bo$21bobobobobobobo$22bo10bo$17bo3bo2bobobobobo$22bo9bo
$21bobobobobobo$22bo8bo$13bo7bo2bobobobo$22bo7bo$19bobobobobobo$18bo
10bo$17bo2bobobobobo$18bo9bo$16b2obobobobobo$17bo9bo$16bobobobobobo$
26bo!
It has a seemingly pseudo-random replicator (or failed replicator):

Code: Select all

x = 31, y = 33, rule = B2aik3-cnqy4r5/S3e5e6i
14$22bo$22bo$21bobo$23bo!
And this one:

Code: Select all

x = 35, y = 17, rule = B2aik3-cnqy4r5/S3e5e6i
4$12bobobobobo$7bo4bo7bo$7bobobobobobobo$14bo4bo$14bo!
EDIT:

Code: Select all

x = 33, y = 18, rule = B2aik3-cnqy4r5/S3e5e6i
4$4b2o$10bobobo7bobo$3bobo4bo11bobo$4bobo3bobo10bo$11bobobobobobobo$4b
3obo3bo$8bo3bo$9bobo$bo3bobobo4bo$2bobobobobobobo!

Code: Select all

x = 24, y = 14, rule = B2aik3-cnqy4r5/S3e5e6i
4$11bo$9bobo$8bo$3bobo3bo$3bo5bo!

Code: Select all

x = 29, y = 29, rule = B2aik3-cnqy4r5/S3e5e6i
6$7bobo3bobobobo$17b3o$9bobobobobobo$10bobobobobo$9bobobobobobo$17b3o$
7bobo3bobobobo!

Code: Select all

x = 21, y = 27, rule = B2aik3-cnqy4r5/S3e5e6i
6$9bobobobobo$11bobob3o$13b2o2bo$6bo3b3o3bo$5bo7b2o2bo$4b3o8b3o$5bo7bo
3bo$12bobobo$5bo7bo3bo$4b3o8b3o$5bo7b2o2bo$6bo3b3o3bo$13b2o2bo$11bobob
3o$9bobobobobo!

Re: Rules with interesting replicators

Posted: October 17th, 2021, 3:54 am
by Yoel
toroidalet wrote: December 19th, 2020, 6:25 pm Crossposting the rule 110 replicator from here:

Code: Select all

x = 3, y = 2, rule = B2ei3aci4aei5kqr7e/S01c2-kn3ijry4citwy5aeiq
3o$obo!
There's probably a version with puffers or a small ship or some other thing that allows us to make really interesting things.
Naturally, we can make oscillators (yes, you can trivially make them bigger):

Code: Select all

x = 11, y = 6, rule = B2ei3aci4aei5kqr7e/S01c2-kn3ijry4citwy5aeiq
9bo$6b2o$2o5bo$bo$2o6b3o$8b2o!
An oblique (3,5) puffer:

Code: Select all

x = 19, y = 21, rule = B2ein3acik4aceiknq5-ceiy7e/S01c2-kn3ijry4citwy5aeiq
9$5bo3b2o$6bo2b3o$6b2o3bo$6bo3b2o$8bo$6bobo!

Code: Select all

x = 14, y = 11, rule = B2ein3acik4aceiknq5-ceiy7e/S01c2-kn3ijry4citwy5aeiq
3$3bo2b2o$3bo3b2o$3bo2b2o!

Code: Select all

x = 13, y = 11, rule = B2ein3acik4aceiknq5-ceiy7e/S01c2-kn3ijry4citwy5aeiq
2$3bobo$2bo2b2o$2bo2bo!

Re: Rules with interesting replicators

Posted: October 17th, 2021, 9:19 am
by Naszvadi
Yoel wrote: October 17th, 2021, 3:54 am rles
Oscillator periods from 1 to 8, and partial success in corderization process of p19 oblique dot puffer:

Code: Select all

x = 166, y = 123, rule = B2ein3acik4aceiknq5-ceiy7e/S01c2-kn3ijry4citwy5aeiq
163b3o2$162bobo$163bo2$151bo$151bo$151b2o2b2o$o9b3o7bo2bo2bo6b2obo6bo
2bo9bo12bo7bo10bobo60b2o3b2o$33bobo22bo14bo14b3o64b2o$22bobo9bobo8bo
11b3o13bo82bo$20bo2bo2bo6bob2o6bo5bo8b3o9b2obob2o$22bobo22bo11bo11bo3b
o71b2o$61bo8b2obob2o11bobo53b6o$20bo2bo2bo19bo2bo23bo15bo54b3o$73bo13b
obobo53bo2bo$69bo7bo67b3o2$140b3o$137b3o$137b3o$14b3o122bo2$13bobo113b
2o$14bo113bobo$128b2ob2o$2bo126bo2b2o$2bo128b2o$2b2o2b2o123bo$bobo3b2o
$3bo2b2o114bobo$b2o4bo116b2o$122bobo$122b3o$110b2o$112bo3b2o$116b3o$
116bobo$115b2o$115bobo2$107bo$106bo$104bo2b2o$104b2o2b2o$107b2o$101bob
2o$101bo2$99bobo$99b3o3$3b3o81b3o$87bo4b3o$2bobo89bo$3bo88bobo$92b2o2$
82b2o2bo$82b3obo$83b2o$81bo2b2o$82b2obo$78bo4bo$75bo2bo$75bo2bo$77bo$
75b2o2$65bobo$67bo$65bo3b2o$65b2o3bo$68b3o$20bo47b2o2$18b4o37bob2o$17b
3obo37bo2bo$17bo2b2o37bo2bo$18b2o39b3o$13b3o33bo10bo$49bo5bo$12bobo37b
o2bo$13bo38bo2bo$52bobo$bo50bobo$bo$b2o2b2o36b2o$obo3b2o35bo$2bo2b2o
34b3ob2o$2o4bo34b2o3bo$44b3o3$37b2o$36bobo$36b3o$37bo$25bo$24b2o4bo$
24b2o4b2o$31b2o$29b2o$29bobo2$21bo2$19b4o$18b3obo$18bo2b2o$19b2o$14b3o
2$13bobo$14bo2$2bo$2bo$2b2o2b2o$bobo3b2o$3bo2b2o$b2o4bo!

Re: Rules with interesting replicators

Posted: October 27th, 2021, 9:54 pm
by googoIpIex
LaundryPizza03 wrote: July 13th, 2021, 11:27 pm A Platoon-like replicator in a self-complementary rule. This one travels at c/2o and emits gliders and a 3c/15d spaceship.

Code: Select all

x = 5, y = 8, rule = B3-ekqr4ikn5acky6ikn78/S2ace3-acky4-krt5ekqr678
b3o$obobo$5o$5o$b3o$5o$2bo$bobo!
kinda necroposting but i made a 4 engined ship out of it. 3 or maybe even 2 engines possible

Code: Select all

x = 61, y = 76, rule = B3-ekqr4ikn5acky6ikn78/S2ace3-acky4-krt5ekqr678
21b3o13b3o$20bobobo11bobobo$20b5o11b5o$10b3o7b5o11b5o7b3o$9bobobo6b5o
11b5o6bobobo$9b5o6b5o11b5o6b5o$8bob3obo6b3o13b3o6bob3obo$9b5o5b7o9b7o
5b5o$10b3o8b3o13b3o8b3o$8bob3obo4b7o9b7o4bob3obo$9b5o5bob3obo9bob3obo
5b5o$7bob5obo4b5o11b5o4bob5obo$8b2o3b2o4bob3obo9bob3obo4b2o3b2o$8b7o
31b7o$11bo6bobobobobo7bobobobobo6bo$10b3o5bob2ob2obo7bob2ob2obo5b3o$
10b3o7bobobo11bobobo7b3o5$7bobo3bobo29bobo3bobo$8b2o4b4o25b4o4b2o$9bo
3b2ob2o25b2ob2o3bo$6b2o6bo31bo6b2o$7bobobobo2bo27bo2bobobobo$5b2o3bobo
2b2o6b2o11b2o6b2o2bobo3b2o$5bobob2o3b4o4bob2o9b2obo4b4o3b2obobo$7bo2bo
2bobo2bo2bo17bo2bo2bobo2bo2bo$7b2o3b4obob4obo11bob4obob4o3b2o$6b3o3b2o
bo3bo3bo13bo3bo3bob2o3b3o$6bo2b2o2b4ob3o19b3ob4o2b2o2bo$8b4o3b4o23b4o
3b4o$7b2ob2ob3o2bo23bo2b3ob2ob2o$10bobobobo27bobobobo$11bobo33bobo6$
18b2ob2ob2o9b2ob2ob2o$18bo4b3o9b3o4bo$19bo2b2obo9bob2o2bo$21bo17bo$21b
o4b2o5b2o4bo$3bobob2o13b2ob2o7b2ob2o13b2obobo$b2ob4o15b2o11b2o15b4ob2o
$o2b4obo43bob4o2bo$bob3obobo41bobob3obo$6bo47bo$8bo43bo$14bo31bo$14b2o
29b2o$14bob3o23b3obo$14b5o23b5o$13b6o23b6o$12b8o21b8o$13b2o4bo21bo4b2o
9$8b2o41b2o$7b3ob2obo31bob2ob3o$7b2o2bobobo29bobobo2b2o$10bob2obo29bob
2obo$10bob4o29b4obo$7bo3bob2o31b2obo3bo$7bo3b2o35b2o3bo$5bobobo41bobob
o$7bo45bo!

Re: Rules with interesting replicators

Posted: October 28th, 2021, 12:11 am
by FWKnightship
2-engine spaceship:

Code: Select all

x = 22, y = 51, rule = B3-ekqr4ikn5acky6ikn78/S2ace3-acky4-krt5ekqr678
5bo$4b3o$3b5o$2bob3obo$4b3o$3b5o3$17bo$16b3o$15b5o$2b2o3b2o5bob3obo$b
4ob4o4bob3obo$5bo9b5o$4b3o7bob3obo$b2o2bo2bo6b5o$bob6o7b3o$b2o4bo7bob
2o$bo2bobobo6bob4o$3bo3bob2o4bob3o$obo3b2o7bob3obo$2bo2b4obo5b2ob3o$bo
2b3obo4bob5o$2bob5o6bo3bo$3b2obo7bo2bo2bo$5bo3bo4b3ob3o$17bo14$7bo2$5b
obobo$5bobobo$5bobo2bo$5bo$7bo2bobo3bo2bo$6bob3o6b3o$7b4o7bo2$8bo!
2-engine clean rake:

Code: Select all

x = 48, y = 116, rule = B3-ekqr4ikn5acky6ikn78/S2ace3-acky4-krt5ekqr678
6bo$5b3o$4b5o$3bob3obo$3bob3obo$3bob3obo$3b7o7bo$4b5o7b3o$5bobo7b5o$
14bob3obo$16b3o$15b5o2$6bo$6b2o$6b3o$6bobobo$7bob2o6b4o$6bob3o7b4o$6bo
bobo4bobo$7b2o6b4o$2b2o4bobo5b4o$2b3o3b3o4bobobo$4bobobo6bobobo$3bob2o
3bo5bob3o$6b2ob3o2b2obob2obo$4b5o2bo3bo3b4o$3bobobo3b6obo2bo$5b2o5bob
4ob2o$4b2o7b8ob2o$3b2obo7b2ob5obo$14b2o2b4obo$5bobo8bob2ob2o$17bo2bo$
18bo8$4b2obo$3b4o14b2o$2b4o13b3o$2bob3obo2bo2bo4b2ob2o$5b5obo12bo$4bo
2bo2bo3bobo2bo3bo3bo$5bobobo8b2obo2b2o$9bo9b2obo2b2obo$6b4o8b4ob2o2bo$
18bo2b8o$8bo11bob2ob4o$22bob3o$20b2ob2o$18b6o$16bob2ob2o$18bobo8$19bo$
14b3obob2o$14b4obobo2b2ob2o$14b7obobo4bo$13b4obo2bo5b3o$14b3o2b9obo$
13bob3o2b10o$14b7o2b6o$8bo5bob4obo3bobo$7b3o4b6obo2bob2o$6bob3o4b2ob3o
$7bobo2b2ob3ob2o$5b5obob2o7b2o2b3o$6b3ob4obo3b3o2b2ob2o3b2o$10b4o2bo8b
2o4b3o$7b2o3bo10b3o2bo3bo$12b2obo10b2o$14bo8bo6$22b2o$21b3o$21b2o2$27b
o$28bob2o2b3o$26b4obo2bo2b2o$25bo2bobob2ob2obo$24bob2obob2o2b4o$22bo3b
o5b5o$22bob2o4b8o$24b2o4bob5o$21bo2bobo2bob3obo2b2o$21b2o2bo3b2o2bo6bo
$22bobobo4b2o3b2ob3o$25bo10bobobo$3bobo4b2o25bobo$obo7b2o$bobobobo$3bo
bobo$4bo40b2o$5bo40b2o$45bo3$16b3o$16bo$16b3o!

Re: Rules with interesting replicators

Posted: November 27th, 2021, 12:03 pm
by Yoel
In self-complementary (like Day & Night) range 5 HROT rules:

Code: Select all

x = 31, y = 41, rule = R5,C0,S9,28-30,61-89,93-110,112-120,B9,28-30,60-89,93-110,112-120
10$4b3o$7b2ob5o$4b5ob5o$7b2ob5o$4b3o!

Code: Select all

x = 32, y = 47, rule = R5,C0,S9,28,61-91,93-110,112-120,B9,28,60-91,93-110,112-120
9$17b2o$10b2o7bo$9bo10bo$9bo11bob5o$20b2ob5o$9bo11bob5o$10b2o8bo$19bo$
10b2o7bo3$19bo$19bo3$10b2o7bo$19bo$10b2o8bo$9bo11bob5o$20b2ob5o$9bo11b
ob5o$9bo10bo$10b2o7bo$17b2o!

Code: Select all

x = 38, y = 56, rule = R5,C0,S9,28,61-91,93-110,112-120,B9,28,60-91,93-110,112-120
17$19b2o$21bo$22bo$23bob5o$22b2ob5o$23bob5o2$12b4o6bo$22bo$22bo$14bo7b
o$14bo7bo$22bo$22bo$12b4o6bo2$23bob5o$22b2ob5o$23bob5o$22bo$21bo$19b2o!

Re: Rules with interesting replicators

Posted: December 9th, 2021, 5:44 pm
by muzik
I remember this having been tamed into a functional replicator but can't seem to find it:

Code: Select all

x = 3, y = 3, rule = B38/S237e8
obo$obo$3o!

Re: Rules with interesting replicators

Posted: December 10th, 2021, 3:02 am
by Yoel
Probably already known, but I did not find it on this forum. A nice Sierpinski breeder:

Code: Select all

x = 71, y = 58, rule = B2ae/S3
14$50b2o$52bo$53bo$54bo$53bobo$54bobo$52bo4bo$58bo$58bo!
A pseudo-random spacefiller in a Generations rule (density ~0.03):

Code: Select all

x = 34, y = 31, rule = 03/2a/3
7$16.AB$16.AB2$18.B$16.2A.B$16.ABA$17.2A!

Re: Rules with interesting replicators

Posted: December 13th, 2021, 12:53 pm
by muzik
muzik wrote: December 9th, 2021, 5:44 pm I remember this having been tamed into a functional replicator but can't seem to find it:

Code: Select all

x = 3, y = 3, rule = B38/S237e8
obo$obo$3o!
Decided to create a multistate rule to force it into being one.

Code: Select all

x = 3, y = 3, rule = ForcedRepl
obo$obo$3o!
Shuttle:

Code: Select all

x = 48, y = 48, rule = ForcedRepl
13.A$13.3A$16.A$15.2A$10.2A$11.A$11.A.A$12.2A3$43.A$41.3A$28.3A9.A$
28.3A9.2A4.2A$28.3A15.A$26.A5.A11.A.A$24.3A5.3A9.2A$20.3A6.A6.3A$20.A
7.3A7.A$20.3A2.A.2A.2A.A2.3A$25.4A.4A$25.3A3.3A3$26.A5.A$26.A5.A6$2.
2A$.A.A$.A$2A4.2A$7.A$4.3A19.A4.2A$4.A16.A3.A.A4.A$20.A.A2.A2.A$20.A.
A4.2A$21.A5.2A5.2A$34.A.A$36.A$36.2A$31.2A$31.A$32.3A$34.A!
As it doesn't have induction it still works in the 2-state rule:

Code: Select all

x = 48, y = 48, rule = B38/S237e8
13bo$13b3o$16bo$15b2o$10b2o$11bo$11bobo$12b2o3$43bo$41b3o$28b3o9bo$28b
3o9b2o4b2o$28b3o15bo$26bo5bo11bobo$24b3o5b3o9b2o$20b3o6bo6b3o$20bo7b3o
7bo$20b3o2bob2ob2obo2b3o$25b4ob4o$25b3o3b3o3$26bo5bo$26bo5bo6$2b2o$bob
o$bo$2o4b2o$7bo$4b3o19bo4b2o$4bo16bo3bobo4bo$20bobo2bo2bo$20bobo4b2o$
21bo5b2o5b2o$34bobo$36bo$36b2o$31b2o$31bo$32b3o$34bo!
Higher order shuttles are now allowed:

Code: Select all

x = 81, y = 63, rule = ForcedRepl
24.2A51.2A$23.A.A51.A.A$23.A55.A$22.2A4.2A43.2A4.2A$29.A21.A21.A$26.
3A22.A22.3A$26.A23.A.A23.A$46.A9.A$46.A9.A$44.4A.2A.2A.4A$43.2A4.A.A.
A4.2A$42.A5.A2.A2.A5.A$43.2A2.3A3.3A2.2A$46.A2.A3.A2.A$46.A.A5.A.A$
46.A.A5.A.A7$2.2A$.A.A$.A$2A4.2A38.A.A5.A.A$7.A38.A.A5.A.A$4.3A39.A2.
A3.A2.A$4.A38.2A2.3A3.3A2.2A$42.A5.A2.A2.A5.A$43.2A4.A.A.A4.2A$44.4A.
2A.2A.4A$46.A9.A$46.A9.A$50.A.A23.A$51.A22.3A$51.A21.A$73.2A4.2A$79.A
$77.A.A$77.2A16$4.A49.A$4.3A45.3A$7.A43.A$2A4.2A43.2A4.2A$.A55.A$.A.A
51.A.A$2.2A51.2A!

Re: Rules with interesting failed replicators

Posted: December 15th, 2021, 5:07 am
by GUYTU6J
Battles of fore/back/side rake counter/replicator produce interesting fractals. Unfortunately all of these are not sustainable, because an incorrect collision will explode at some point. The duration in ticks are as follows:
30625

Code: Select all

x = 3, y = 7, rule = B2n3aeijq4c7c/S2-i3-aky4i5ajk6ac
2o$b2o$2o2$2o$b2o$2o!
63033

Code: Select all

x = 3, y = 7, rule = B2n3aeijq4c5c7c/S2-i3-aky4i5ajk6ac
2o$b2o$2o2$2o$b2o$2o!
200387

Code: Select all

x = 3, y = 7, rule = B2n3aeijq4c5c7c/S2-i3-aky4i5ajk6acn
2o$b2o$2o2$2o$b2o$2o!
1836109

Code: Select all

x = 3, y = 7, rule = B2n3aeijq4c5c7c/S2-i3-aky4i5acjk6ac
2o$b2o$2o2$2o$b2o$2o!
716245

Code: Select all

x = 3, y = 7, rule = B2n3aeijq4c5c7c/S2-i3-aky4i5acjk6acn
2o$b2o$2o2$2o$b2o$2o!
Having seen these, even a working ruler generator is not that interesting.

Code: Select all

x = 3, y = 7, rule = B2n3aeijq4c5c7c/S2-i3-aky4i5ajk6ci
2o$b2o$2o2$2o$b2o$2o!