Rules with interesting replicators

[Naszvadi]

Hexagonal replicator:

Code: Select all

x = 4, y = 3, rule = B3-en/S2-i3-a4i
2bo$b3o$2obo!

Stabilized to be a puffer:

Code: Select all

x = 511, y = 117, rule = B3-en/S2-i3-a4i
86bo$53bo31bobo$52bobo31b2o$53bo$53bo$51b3o$50bo2b2o$50bo3bo19bo$51b2o
bo18bobo$53b2o17bobo$72b2o$77b3o$77bobo$76b2o2bo$76bo2bo$79b3o5$74bo$
50bo22bobo$49bobo22b2o$48bobo$48b2o3$40b2ob2o$40bo3bo$41bobo25bo$42bo
25bobo$69b2o439bo$509bo$508bobo$67bo12bo2bo424b2o$66b3o10bo4bo$65b2obo
10bo5bo$64bobo2b2o8b3o3bo414b2ob2o$63b3o3b2o12bobo414bo3bo$62b2o437bob
o$63b2o437bo$38bo25bo$37bobo$36bobo$36b2o3$28b2ob2o34b2o$28bo3bo$29bob
o33bo3bo$30bo34bo$65b2o431bo$72bo424bobo$70b2o4bo419bobo$72b2o2bo419b
2o$16b2o51bob2o$16bob2o49bo$19bo49b2obo415b2ob2o$17bobo50b3o415bo3bo$
17b2o52bo417bobo$490bo$16b3o$7b3o6bob2o$7bo9b2o$9bo4bo$8b2o4bo461b2o$
5b2o469bob2o$6b3o470bo$7bo469bobo$477b2o2$476b3o$467b3o6bob2o$467bo9b
2o$469bo4bo$468b2o4bo$7bo457b2o$6bobo457b3o$7b2o458bo3$5bo12bo2bo$4b3o
10bo4bo$3b2obo10bo5bo$2bobo2b2o8b3o3bo$b3o3b2o12bobo$2o465bo$b2o463bob
o$2bo464b2o3$465bo12bo2bo$464b3o10bo4bo$463b2obo10bo5bo$5b2o455bobo2b
2o8b3o3bo$461b3o3b2o12bobo$3bo3bo452b2o$3bo457b2o$3b2o457bo$10bo$8b2o
4bo$10b2o2bo$7bob2o$7bo$7b2obo454b2o$8b3o$9bo453bo3bo$463bo$463b2o$
470bo$468b2o4bo$470b2o2bo$467bob2o$467bo$467b2obo$468b3o$469bo!

[APPEND#1]

(20,12)c/88 ship:

Code: Select all

x = 50, y = 82, rule = B3-en/S2-i3-a4i
35b3o$35b3o$36b2o$37bo$32b6o$30b6ob2o$30bo5bo3b4o$30b3ob2o4b2obo5$44bo
$48bo$49bo$46bo$47bo10$27b2ob2o$27bo3bo$28bobo14bo$29bo14bobo$45b2o5$
14b3o$16bo$14b3o$43bo$42b3o$41b2o2bo$6b2o33bo3b2o$6bo2b2o3b3o23b2o4bo$
7bo2bo3bobo22b3obo$7b3o4bo2b2o20bobo$11b3o4bo21bo2bo$11bo29b3o3bo$11b
3o34bo$48b2o$48bo$47bo$46bobo$45b2ob2o$46b3o$15bo31bo$6bo8b2o$5bobo5bo
b2o$6b2o5b4o$14bo$18bob2o$19bo4bo$16bo2bob4o$16bo5b2o$18bobob2o$18bobo
$4bo13b3o$3b3o$2b2o2bo$2bo3b2o$b2o4bo$3obo$obo$bo2bo$2b3o3bo$9bo$9b2o$
9bo$8bo$7bobo$6b2ob2o$7b3o$8bo!

[bubblegum]

and this thing I just discovered:

Code: Select all

x = 3, y = 2, rule = B2ei3aij4c/S1c2-in3-aq4iz
3o$obo!

It has a close relative:

Code: Select all

x = 3, y = 2, rule = B2ei3aijk4c/S1c2-in3-a4iz
3o$obo!

[wwei23]

I love how this one fails. For example, the ash is itself stable, and the corners emit periodic spaceship streams.

Code: Select all

x = 4, y = 4, rule = B3-eqry/S234i
b2o$2obo$b3o$2bo!

EDIT: Another interesting one:

Code: Select all

x = 3, y = 3, rule = B3aeijn5y/S23-y4i
3o$o$3o!

[GUYTU6J]

Crossposting an amazing quadratic replicator:

PPS to previous comment: a "simple/snakes" CA may be more appropriate as an example of "fractal-type" CA
http://www.conwaylife.com/forums/viewto ... =75#p11156
The rule in new Golly format

Code: Select all

@RULE Revsimple

@TREE

num_states=4
num_neighbors=8
num_nodes=20
1 0 2 1 3
1 1 3 0 2
2 0 1 0 1
2 1 0 1 0
2 0 0 0 0
3 2 3 2 3
3 3 4 3 4
3 4 4 4 4
4 5 6 5 6
4 6 7 6 7
4 7 7 7 7
5 8 9 8 9
5 10 10 10 10
6 11 12 11 12
6 12 12 12 12
7 13 14 13 14
7 14 14 14 14
8 15 16 15 16
8 16 16 16 16
9 17 18 17 18

@COLORS

0 255 255 255
1 255 0 0
2 127 255 0
3 0 0 255 

Class of replicators I am talking about - they are satisfying formal definition and even do not produce
extra noise, but "something wrong" with that:

Code: Select all

x = 7, y = 7, rule = Revsimple
3.A$2.ABA$.A.A.A$ABABABA$.A.A.A$2.ABA$3.A!

It replicates with period 8. Number of replicators is rather intriguing:
1,5,9,21,25,29,41,85...
I was really wrong, with choice of name "simple" for that CA 10 years ago

Alexander

---
My own discovery, a replicator dropping 40-cell still lives

Code: Select all

x = 4, y = 5, rule = B3-ckr5y7c/S2-i3-aek4ci5c
2o$b2o$2b2o$b2o$2o!

And another chaotic one producing ship pairs

Code: Select all

x = 3, y = 3, rule = B3-ck4jqz5c/S2aek3ijnqr4ciy5ce6e7c
b2o$2o$o!

[Naszvadi]

...
And another chaotic one producing ship pairs

Code: Select all

x = 3, y = 3, rule = B3-ck4jqz5c/S2aek3ijnqr4ciy5ce6e7c
b2o$2o$o!

Binary counter stream generator - coolest "sawtooth-rake" ever?

Code: Select all

x = 8, y = 24, rule = B3-ck4jqz5c/S2aek3ijnqr4ciy5ce6e7c
3b2o$4bo$2b3o16$b2o2bo$o3bob2o$bo5bo$3bo3bo$4b3o$4bo!

[Naszvadi]

Crossposting a 1D linear replicator:

Code: Select all

x = 7, y = 13, rule = B378/S23e458
obobobo$o5bo$o5bo$obobobo6$2bo$2ob2o$2ob2o$2bo!

Discovered here: ../forums/viewtopic.php?f=11&t=803&start=1950#p105392

[wwei23]

Crossposting a 1D linear replicator:

Code: Select all

x = 7, y = 13, rule = B378/S23e458
obobobo$o5bo$o5bo$obobobo6$2bo$2ob2o$2ob2o$2bo!

Discovered here: ../forums/viewtopic.php?f=11&t=803&start=1950#p105392

What replication rule? Doesn't seem to follow any type of pascal triangle mod x, maybe a generator is in order here?

[yujh]

Crossposting a 1D linear replicator:

Code: Select all

x = 7, y = 13, rule = B378/S23e458
obobobo$o5bo$o5bo$obobobo6$2bo$2ob2o$2ob2o$2bo!

Discovered here: ../forums/viewtopic.php?f=11&t=803&start=1950#p105392

What replication rule? Doesn't seem to follow any type of pascal triangle mod x, maybe a generator is in order here?

weird.

[toroidalet]

It's just rule 90 but the copies are out of sync (there are a few examples of this earlier in the thread, like dani's replicator gun).
EDIT: Rule that generates the triangle (from here):

Code: Select all

@RULE SlantPinski
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
var a{0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
0,a,b,c,d,1,f,g,h,1
#C    R       L   C'
0,a,b,c,d,e,f,1,h,1
1,a,b,c,d,e,f,1,h,2
2,a,b,c,d,e,f,g,h,0

[Naszvadi]

Crossposting a 1D linear replicator:

Code: Select all

x = 7, y = 13, rule = B378/S23e458
obobobo$o5bo$o5bo$obobobo6$2bo$2ob2o$2ob2o$2bo!

Discovered here: ../forums/viewtopic.php?f=11&t=803&start=1950#p105392

What replication rule? Doesn't seem to follow any type of pascal triangle mod x, maybe a generator is in order here?

weird.

If I forgot, this should be an entry (preferably batched together with all '20s replicators) for OCA POTY.

[wwei23]

I noticed that a lot of the interesting replicators I found followed the partial rule pB2e-ac3aei4-a5y/S1c(-e)2ac-k3a-e4-t5-i, so I manually went through random rules following that.
Anyways:

Code: Select all

x = 4, y = 3, rule = B2ek3aeiny4ejknt5-eknr6c/S1c2ace3-eknr4ckqrz5j6-ce7e
b2o$o2bo$b2o!

EDIT: That one is known. Here's a pascal triangle modulo 3 replicator:

Code: Select all

x = 4, y = 3, rule = B2e3aeijn4enw5kqy6aei8/S1c2ac3acq4ek5acnq6an7
b2o$o2bo$b2o!

Edit 2: 8c/33, but it's a regular replicator

Code: Select all

x = 4, y = 3, rule = B2en3aeik4cnrwz5-acjq6ack/S1c2ace3-ej4aekwyz5kr6ac8
b2o$o2bo$b2o!

Edit 3: Look at the edges of the waves.

Code: Select all

x = 4, y = 3, rule = B2e3aeiq4iqrt5-ejnq6cen78/S1c2-ik3ary4aijqwz5ajr6ckn7e
b2o$o2bo$b2o!

Edit 4: Very subtly different.

Code: Select all

x = 4, y = 3, rule = B2e3aceik4itwy5-ejnr6k7e8/S1c2ace3aijqy4aiw5cnqy7e
b2o$o2bo$b2o!

Edit 5: Weird failed replicator:

Code: Select all

x = 4, y = 3, rule = B2ein3aeiry4jnryz5-n6an78/S1c2-ek3-eiqr4cijqr5ary6n
b2o$o2bo$b2o!

Pascal triangle modulo 3:

Code: Select all

x = 4, y = 3, rule = B2ein3-knqy4twyz5ijnry7c/S1c2ac3-cenq4aeinry5r6ci7e
b2o$o2bo$b2o!

Edit 6: Another one:

Code: Select all

x = 4, y = 3, rule = B2ek3aeik4cinry5acry6e7c8/S1c2-kn3aiky4eijny5jn6i
b2o$o2bo$b2o!

Edit 7: Period 24 pascal triangle modulo 3:

Code: Select all

x = 4, y = 3, rule = B2en3-cny4iy5-acik6c7c/S1c2acn3ajnr4ejkqy5acer6-kn8
b2o$o2bo$b2o!

Edit 8: Pascal triangle mod 3:

Code: Select all

x = 4, y = 3, rule = B2ek3aeijy4jnty5-acir6ikn/S1c2-ik3ajnqy4anwyz5jk6cn8
b2o$o2bo$b2o!

Edit 9: Interesting.

Code: Select all

x = 4, y = 3, rule = B2e3aeijn4ntz5aky6ei7e8/S1c2acn3aknq4aejnry5cjnqy6cik7e8
b2o$o2bo$b2o!

Edit 10: Density 1/2 generator.

Code: Select all

x = 36, y = 20, rule = B2e3aeijn4ntz5aky6ei7e8/S1c2acn3aknq4aejnry5cjnqy6cik7e8
bo2bo8bo2bo$b4o8b3obo$bo2bo8bo3b2o14bo$16b3o13bobo$31bobobo$bobo2b2o2b
2o2bobo14bobobo$o3b2o2b2o2b2o3bo13bobobo$bobo2b2o2b2o2bobo15bobo$33bo
2$13bo15bo$10b2o2bo3bo6b3ob5o$10b2o2bob3o8bobob3o$10b2o2bo2b2o7bob5obo
$13b2o10bob3o2bo$13bobo14b3obo$10b2o17bob2o$9bo2bobobo12b3o$10b2o18bo$
14b2o!

Edit 11: Full density!

Code: Select all

x = 376, y = 358, rule = B2e3aeijn4ntz5aky6ei7e8/S1c2acn3aknq4aejnry5cjnqy6cik7e8
254bo$237b4o$233bo2bo11b3o2bob2o$161bo2b2o2bo34b5o25b3o4bo6b3obobo2bo$
161b3o2b3o19bo2bo11bo3bo25bo2bo2bo8bobo2bo2bo$161bo2b2o2bo20b2o12b2ob
2o29b3o9b2o5bo$189b3o60bo2bo$173bo14b3o13bo28bobo2b2o11b3o$162b2o2b2o
5b2o31b2o24bo3b2o14b2o$161bo2b2o2bo36bobo25bobo2bobo$162b2o2b2o$186b4o
$187b2o$187b2o10b2o12b2o12b2o12b2o12b2o$151bobo2bobo27b4o9bo13bo13bo
13bo13bo$150bo3b2o14b2o15b2o$151bobo2b2o11b3o$170bo2bo$155b3o9b2o5bo$
151bo2bo2bo8bobo2bo2bo$151b3o4bo6b3obobo2bo$27bo2bo4bo2bo19b2o91bo2bo
11b3o2bob2o45bo$27b4o4b4o18b2o96b4o60b3o$27bo2bo4bo2bo17b2o114bo$58bo$
31bo2bo6bo14bobo$28b2o6b2o3b2o13b3o$27bo2bob2obo2bo$28b2o6b2o$32b2o3$
18bo2bo16b4o$17bo20bo2b2o$18bobo16bo3b2o$35bobo2bobo14b2o12b2o12b2o14b
o13bo13bo13bo13bo13b2o12b2o12b2o12b2o12b2o5bo$23bob2o10bo19b2o12b2o12b
2o13bo13bo13bo13bo13bo13bobo11bobo11bobo11bobo11bobo4b3o$18bo2bob2o2b
2o4bob2obob2obo56b2o12b2o12b2o12b2o12b2o$18b4o2bo2bo10b3o$18bo5bo3bo
13b2o$21bob2o16b2o$156b3o$83b3o71bo83bo$84bo142b3o10b3o$228bo5$248bo$
247b3o5$22bo119b3o$5b4o60b3o71bo111bo$bo2bo11b3o2bob2o45bo142b3o38b3o$
b3o4bo6b3obobo2bo189bo$bo2bo2bo8bobo2bo2bo$5b3o9b2o5bo$20bo2bo$bobo2b
2o11b3o$o3b2o14b2o15b2o223bo$bobo2bobo27b4o9bo13bo13bo13bo13bo155b3o$
37b2o10b2o12b2o12b2o12b2o12b2o$37b2o$36b4o$12b2o2b2o$11bo2b2o2bo36bobo
25bobo2bobo37b3o$12b2o2b2o5b2o31b2o24bo3b2o14b2o25bo139bo$23bo14b3o13b
o28bobo2b2o11b3o95b3o66b3o$39b3o60bo2bo94bo$11bo2b2o2bo20b2o12b2ob2o
29b3o9b2o5bo$11b3o2b3o19bo2bo11bo3bo25bo2bo2bo8bobo2bo2bo$11bo2b2o2bo
34b5o25b3o4bo6b3obobo2bo$83bo2bo11b3o2bob2o$87b4o185bo$104bo170b3o5$
114b3o$115bo167bo$185b3o94b3o$186bo5$290bo$289b3o4$53bo$36b4o60b3o$32b
o2bo11b3o2bob2o45bo195bo$32b3o4bo6b3obobo2bo115b3o122b3o$32bo2bo2bo8bo
bo2bo2bo116bo$36b3o9b2o5bo$51bo2bo$32bobo2b2o11b3o$31bo3b2o14b2o15b2o$
32bobo2bobo27b4o9bo13bo13bo13bo13bo167bo$68b2o10b2o12b2o12b2o12b2o12b
2o165b3o$68b2o$67b4o$43b2o2b2o$42bo2b2o2bo36bobo25bobo2bobo$43b2o2b2o
5b2o31b2o24bo3b2o14b2o$54bo14b3o13bo28bobo2b2o11b3o176bo$70b3o60bo2bo
20b3o150b3o$42bo2b2o2bo20b2o12b2ob2o29b3o9b2o5bo20bo$42b3o2b3o19bo2bo
11bo3bo25bo2bo2bo8bobo2bo2bo$42bo2b2o2bo34b5o25b3o4bo6b3obobo2bo$114bo
2bo11b3o2bob2o$118b4o$135bo182bo$317b3o6$325bo$143b3o178b3o$144bo5$
332bo$331b3o6$339bo$129b3o206b3o$130bo5$346bo$345b3o6$68bo284bo$51b4o
60b3o234b3o$47bo2bo11b3o2bob2o45bo$47b3o4bo6b3obobo2bo$47bo2bo2bo8bobo
2bo2bo$51b3o9b2o5bo$66bo2bo$47bobo2b2o11b3o292bo$46bo3b2o14b2o15b2o
274b3o$47bobo2bobo27b4o9bo13bo13bo13bo13bo$83b2o10b2o12b2o12b2o12b2o
12b2o$83b2o$82b4o$58b2o2b2o$57bo2b2o2bo36bobo25bobo2bobo230bo$58b2o2b
2o5b2o31b2o24bo3b2o14b2o216b3o$69bo14b3o13bo28bobo2b2o11b3o$85b3o60bo
2bo$57bo2b2o2bo20b2o12b2ob2o29b3o9b2o5bo$57b3o2b3o19bo2bo11bo3bo25bo2b
o2bo8bobo2bo2bo$57bo2b2o2bo34b5o25b3o4bo6b3obobo2bo$129bo2bo11b3o2bob
2o221bo$133b4o236b3o$150bo3$150bo$133b4o236b3o$129bo2bo11b3o2bob2o221b
o$57bo2b2o2bo34b5o25b3o4bo6b3obobo2bo$57b3o2b3o19bo2bo11bo3bo25bo2bo2b
o8bobo2bo2bo$57bo2b2o2bo20b2o12b2ob2o29b3o9b2o5bo$85b3o60bo2bo$69bo14b
3o13bo28bobo2b2o11b3o$58b2o2b2o5b2o31b2o24bo3b2o14b2o216b3o$57bo2b2o2b
o36bobo25bobo2bobo230bo$58b2o2b2o$82b4o$83b2o$83b2o10b2o12b2o12b2o12b
2o12b2o$47bobo2bobo27b4o9bo13bo13bo13bo13bo$46bo3b2o14b2o15b2o274b3o$
47bobo2b2o11b3o292bo$66bo2bo$51b3o9b2o5bo$47bo2bo2bo8bobo2bo2bo$47b3o
4bo6b3obobo2bo$47bo2bo11b3o2bob2o45bo$51b4o60b3o234b3o$68bo284bo6$345b
3o$346bo5$130bo$129b3o206b3o$339bo6$331b3o$332bo5$144bo$143b3o178b3o$
325bo6$317b3o$135bo182bo$118b4o$114bo2bo11b3o2bob2o$42bo2b2o2bo34b5o
25b3o4bo6b3obobo2bo$42b3o2b3o19bo2bo11bo3bo25bo2bo2bo8bobo2bo2bo$42bo
2b2o2bo20b2o12b2ob2o29b3o9b2o5bo20bo$70b3o60bo2bo20b3o150b3o$54bo14b3o
13bo28bobo2b2o11b3o176bo$43b2o2b2o5b2o31b2o24bo3b2o14b2o$42bo2b2o2bo
36bobo25bobo2bobo$43b2o2b2o$67b4o$68b2o$68b2o10b2o12b2o12b2o12b2o12b2o
165b3o$32bobo2bobo27b4o9bo13bo13bo13bo13bo167bo$31bo3b2o14b2o15b2o$32b
obo2b2o11b3o$51bo2bo$36b3o9b2o5bo$32bo2bo2bo8bobo2bo2bo116bo$32b3o4bo
6b3obobo2bo115b3o122b3o$32bo2bo11b3o2bob2o45bo195bo$36b4o60b3o$53bo4$
289b3o$290bo5$186bo$185b3o94b3o$115bo167bo$114b3o5$104bo170b3o$87b4o
185bo$83bo2bo11b3o2bob2o$11bo2b2o2bo34b5o25b3o4bo6b3obobo2bo$11b3o2b3o
19bo2bo11bo3bo25bo2bo2bo8bobo2bo2bo$11bo2b2o2bo20b2o12b2ob2o29b3o9b2o
5bo$39b3o60bo2bo94bo$23bo14b3o13bo28bobo2b2o11b3o95b3o66b3o$12b2o2b2o
5b2o31b2o24bo3b2o14b2o25bo139bo$11bo2b2o2bo36bobo25bobo2bobo37b3o$12b
2o2b2o$36b4o$37b2o$37b2o10b2o12b2o12b2o12b2o12b2o$bobo2bobo27b4o9bo13b
o13bo13bo13bo155b3o$o3b2o14b2o15b2o223bo$bobo2b2o11b3o$20bo2bo$5b3o9b
2o5bo$bo2bo2bo8bobo2bo2bo$b3o4bo6b3obobo2bo189bo$bo2bo11b3o2bob2o45bo
142b3o38b3o$5b4o60b3o71bo111bo$22bo119b3o5$247b3o$248bo5$228bo$84bo
142b3o10b3o$83b3o71bo83bo$156b3o$21bob2o16b2o$18bo5bo3bo13b2o$18b4o2bo
2bo10b3o$18bo2bob2o2b2o4bob2obob2obo56b2o12b2o12b2o12b2o12b2o$23bob2o
10bo19b2o12b2o12b2o13bo13bo13bo13bo13bo13bobo11bobo11bobo11bobo11bobo
4b3o$35bobo2bobo14b2o12b2o12b2o14bo13bo13bo13bo13bo13b2o12b2o12b2o12b
2o12b2o5bo$18bobo16bo3b2o$17bo20bo2b2o$18bo2bo16b4o3$32b2o$28b2o6b2o$
27bo2bob2obo2bo$28b2o6b2o3b2o13b3o$31bo2bo6bo14bobo$58bo$27bo2bo4bo2bo
17b2o114bo$27b4o4b4o18b2o96b4o60b3o$27bo2bo4bo2bo19b2o91bo2bo11b3o2bob
2o45bo$151b3o4bo6b3obobo2bo$151bo2bo2bo8bobo2bo2bo$155b3o9b2o5bo$170bo
2bo$151bobo2b2o11b3o$150bo3b2o14b2o15b2o$151bobo2bobo27b4o9bo13bo13bo
13bo13bo$187b2o10b2o12b2o12b2o12b2o12b2o$187b2o$186b4o$162b2o2b2o$161b
o2b2o2bo36bobo25bobo2bobo$162b2o2b2o5b2o31b2o24bo3b2o14b2o$173bo14b3o
13bo28bobo2b2o11b3o$189b3o60bo2bo$161bo2b2o2bo20b2o12b2ob2o29b3o9b2o5b
o$161b3o2b3o19bo2bo11bo3bo25bo2bo2bo8bobo2bo2bo$161bo2b2o2bo34b5o25b3o
4bo6b3obobo2bo$233bo2bo11b3o2bob2o$237b4o$254bo!

Edit 12: Pascal triangle mod 3:

Code: Select all

x = 4, y = 3, rule = B2e3-kq4ejr5iknry6n8/S1c2acn3aky4-ckntw5c6ac8
b2o$o2bo$b2o!

Edit 13: Pascal triangle mod 3:

Code: Select all

x = 4, y = 3, rule = B2ein3aeijq4ik5acky6ek8/S1c2-ek3-eknq4arwy5qr6c7e8
b2o$o2bo$b2o!

Edit 14: Pascal triangle mod 3:

Code: Select all

x = 4, y = 3, rule = B2ein3-cknr4eiqw5jy6ek8/S1c2-ek3ary4aceiy5ekq6-i78
b2o$o2bo$b2o!

Edit 15: Two more:

Code: Select all

x = 4, y = 3, rule = B2ek3-cnqy4jntwz5-eikn6ack8/S1c2acn3-cenq4aeijnw5acnqr6c7c
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2e3-kqy4jknty5enry6ak7c/S1c2acn3ajnqy4aenqyz5acjkn6ac7c8
b2o$o2bo$b2o!

Edit 16:

Code: Select all

x = 4, y = 3, rule = B2eik3-nr4ijkntwy5ajkny8/S1c2ace3ainy4aceqy5cnqry6-e7c8
b2o$o2bo$b2o!

Edit 17: OH MY GOD

Code: Select all

x = 4, y = 3, rule = B2ek3-cknr4qrty5-acj6aik/S1c2acn3-ceiy5ejky6-ck7
b2o$o2bo$b2o!

Edit 18: Here is a generator. Full density is impossible with this replicator, since the rows would destroy each other.

Code: Select all

x = 371, y = 313, rule = B2ek3-cknr4qrty5-acj6aik/S1c2acn3-ceiy5ejky6i
53b2ob2o$53bo4bo$49b2o2b2o3bo$48b2obob4o$48b4o15bo2b2o8bo10bo$48bo3bob
2o11b3o2bo3b2obo12bo$51b2ob2o11bo8b2o2bo10bo$52bo15bo$52bo15bo$51b2ob
2o11bo8b2o2bo10bo$48bo3bob2o11b3o2bo3b2obo12bo$34bo13b4o15bo2b2o8bo10b
o$36b2o10b2obob4o$33bobo13b2o2b2o3bo$36b2o15bo4bo$34bo18b2ob2o6$56bo$
55bobo$55bobo$56bo9$56bo11bo$55bobo9bobo$67bobo$55b3o10bo$55b3o7$68bo$
55b3o22bo$55bobo8b2ob2o8bobo$55bobo8b2ob2o8bobo$55b3o22bo$68bo7$55b3o
22bo$55b3o10bo23bo$67bobo8b5o8bobo$55bobo9bobo21bobo$56bo11bo23bo5$
317bo$240bo76bo11b2o$240bo11b2o60bobob2o7bo2b2ob3o$80bo11bo144bobob2o
7bo2b2ob3o55bobo10bo2bob4o$56bo47bo132bobo10bo2bob4o54b6o7bo3bob2o12b
2o10b2ob4ob2o$55bobo21bobo9b3o9bobo130b6o7bo3bob2o12b2o10b2ob4ob2o22bo
2b4o7bo2b3o10bob3o6bo3b2obo2bob2o$55bobo20bo3bo20bobo130bo2b4o7bo2b3o
10bob3o6bo3b2obo2bob2o36bobo13b5o5bo4b2ob4ob2o$56bo21bo3bo8b3o10bo145b
obo13b5o5bo4b2ob4ob2o$78bo3bo8b3o$327bobo13b5o5bo4b2ob4ob2o$80bo169bob
o13b5o5bo4b2ob4ob2o28bo7bo2b3o10bob3o6bo3b2obo2bob2o$236bo2b4o7bo2b3o
10bob3o6bo3b2obo2bob2o24b2ob2o6bo3bob2o12b2o10b2ob4ob2o$236b6o7bo3bob
2o12b2o10b2ob4ob2o24bo2b3o6bo2bob4o$80bo156bobo10bo2bob4o56bob2o8bo2b
2ob3o$237bobob2o7bo2b2ob3o58b2o10b2o$78bo3bo8b3o146bo11b2o$56bo21bo3bo
8b3o10bo11bo123bo$55bobo20bo3bo20bobo9bobo186bobo$79bobo9b3o9bobo9bobo
188bo$55b3o46bo11bo185bo17bo$55b3o22bo11bo159b2o10b2o10b2o10b2o12b2o2b
o11bob3o$252b2o10b2o10b2o10b2o12b2o13bo2b3o$301bo2bobo14b2o7b4o2bo$
224bo11bo11bo11bo11bo11bo12bo2bob3o12b2o11bo3bo2bo$224b2o10b2o10b2o10b
2o10b2o10b2o10bo3bo3bo15b2o6bo2b4o2bo26b2o$296bo7bo12bobo8b2ob2o14bobo
10b2o2b2o2b2o$317b2o9bo2b2ob2o9b2o3bo4b2o2bo2bo4bo2bo$297bo19bo13b3o
15bo5b2o3b2o2b2o2b2o$68bo23bo23bo11bo84bo132b3o15b2o$67bobo21bobo21bob
o9bobo83bo11b2o62bobo54b3o15b2o$78b5o8bobo33bobo80bobob2o7bo2b2ob3o57b
obo27b2o10b3o15bo5b2o3b2o2b2o2b2o$55b3o9b3o22bo22b3o10bo81bobo10bo2bob
4o58bo24bo5bo6bo2b2ob2o9b2o3bo4b2o2bo2bo4bo2bo$55b3o9b3o10bo34b3o91b6o
7bo3bob2o12b2o10b2ob4ob2o51bo5bo6b2ob2o14bobo10b2o2b2o2b2o$56bo152bo2b
4o7bo2b3o10bob3o6bo3b2obo2bob2o64bo2b4o2bo26b2o$55bobo165bobo13b5o5bo
4b2ob4ob2o66bo3bo2bo$318bo11b4o2bo2$223bobo13b5o5bo4b2ob4ob2o$209bo2b
4o7bo2b3o10bob3o6bo3b2obo2bob2o$55bobo70bo80b6o7bo3bob2o12b2o10b2ob4ob
2o$80bo34b3o22bo69bobo10bo2bob4o$79bobo33bobo8b2ob2o8bobo68bobob2o7bo
2b2ob3o45bobo$55bobo9b3o45bobo8b2ob2o8bobo71bo11b2o50bobo$56bo10bobo9b
3o33b3o22bo72bo64bo$56bo10bobo9b3o46bo$55bobo9b3o3$55bobo3$115b3o22bo$
115b3o10bo23bo$55bobo69bobo8b5o8bobo111bobo$56bo22b3o33bobo9bobo21bobo
111bobo$55b3o9b3o21b3o22bo11bo23bo113bo$55b3o9b3o8bo3bo8b3o7$140bo11bo
$116bo47bo$78b2ob2o32bobo21bobo9b3o9bobo87bobo$80bo10b3o21bobo20bo3bo
20bobo87bobo$55b3o21bobo9bobo9b3o10bo21bo3bo8b3o10bo89bo$55b3o21b3o21b
3o32bo3bo8b3o$79b3o9bobo$79bobo10bo47bo$79b3o2$140bo2$138bo3bo8b3o$79b
3o34bo21bo3bo8b3o10bo11bo$2b2o51b3o21bobo10bo22bobo20bo3bo20bobo9bobo
63bobo$o2bobo50bo22b3o9bobo21bobo21bobo9b3o9bobo9bobo63bobo$79b3o21b3o
58bo11bo65bo$79bobo9bobo9b3o34bo11bo$5b2o10bo62bo10b3o$5bo12bo7b3o49b
2ob2o$b5o9b3o3bo4b5o2bo4bo2b2o2bo$bo2bo10b2obo8b7o4b3o2b3o$21bo8bo2bo
4bo2b2o2bo$14bobo2b2o$14bobo2b2o$21bo8bo2bo4bo2b2o2bo82bo23bo23bo11bo$
bo2bo10b2obo8b7o4b3o2b3o21b3o57bobo21bobo21bobo9bobo39bobo$b5o9b3o3bo
4b5o2bo4bo2b2o2bo22bo58bobo8b5o8bobo33bobo39bobo$5bo12bo7b3o49bo3bo8b
3o58bo22b3o10bo41bo$5b2o10bo73b3o46bo34b3o$79b3o2$o2bobo$2b2o220bo11b
4o2bo$206b2o28bo3bo2bo$2b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b
2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o12bo25bo2b4o2bo26b2o$3bo11bo11bo
11bo11bo11bo11bo11bo11bo11bo11bo11bo4bo6bo11bo11bo11bo4bo6bo10bo13bo6b
o6b2ob2o14bobo10b2o2b2o2b2o$79b3o93b3o22bo6b3o9b2o6bo6bo2b2ob2o9b2o3bo
4b2o2bo2bo4bo2bo$79bobo56b2ob2o32bobo8b2ob2o8bobo5bobo7bob2o4b2o10b3o
15bo5b2o3b2o2b2o2b2o$79bobo56b2ob2o32bobo8b2ob2o8bobo6bo8bobo32b3o15b
2o$79b3o93b3o22bo17bo33b3o15b2o$140bo47bo36b2o10b3o15bo5b2o3b2o2b2o2b
2o$221bo5bo6bo2b2ob2o9b2o3bo4b2o2bo2bo4bo2bo$221bo5bo6b2ob2o14bobo10b
2o2b2o2b2o$234bo2b4o2bo26b2o$236bo3bo2bo$224bo11b4o2bo$79b3o$91b3o46bo
34b3o$78bo3bo8b3o58bo22b3o10bo$68bo58bobo8b5o8bobo33bobo$67b3o57bobo
21bobo21bobo9bobo$128bo23bo23bo11bo6$78b2ob2o$80bo10b3o$79bobo9bobo9b
3o34bo11bo$79b3o21b3o58bo11bo$56bo22b3o9bobo21bobo21bobo9b3o9bobo9bobo
$55b3o21bobo10bo22bobo20bo3bo20bobo9bobo$79b3o34bo21bo3bo8b3o10bo11bo$
138bo3bo8b3o2$140bo2$79b3o$79bobo10bo47bo$79b3o9bobo$55b3o21b3o21b3o
32bo3bo8b3o$55b3o21bobo9bobo9b3o10bo21bo3bo8b3o10bo$80bo10b3o21bobo20b
o3bo20bobo$78b2ob2o32bobo21bobo9b3o9bobo$116bo47bo$140bo11bo7$55b3o9b
3o8bo3bo8b3o$55b3o9b3o21b3o22bo11bo23bo$56bo22b3o33bobo9bobo21bobo$55b
obo69bobo8b5o8bobo$115b3o10bo23bo$115b3o22bo3$55bobo3$55bobo9b3o$56bo
10bobo9b3o46bo$56bo10bobo9b3o33b3o22bo$55bobo9b3o45bobo8b2ob2o8bobo$
79bobo33bobo8b2ob2o8bobo$80bo34b3o22bo$55bobo70bo5$55bobo$56bo$55b3o9b
3o10bo34b3o$55b3o9b3o22bo22b3o10bo$78b5o8bobo33bobo$67bobo21bobo21bobo
9bobo$68bo23bo23bo11bo8$55b3o22bo11bo$55b3o46bo11bo$79bobo9b3o9bobo9bo
bo$55bobo20bo3bo20bobo9bobo$56bo21bo3bo8b3o10bo11bo$78bo3bo8b3o2$80bo
3$80bo2$78bo3bo8b3o$56bo21bo3bo8b3o10bo$55bobo20bo3bo20bobo$55bobo21bo
bo9b3o9bobo$56bo47bo$80bo11bo8$56bo11bo23bo$55bobo9bobo21bobo$67bobo8b
5o8bobo$55b3o10bo23bo$55b3o22bo7$68bo$55b3o22bo$55bobo8b2ob2o8bobo$55b
obo8b2ob2o8bobo$55b3o22bo$68bo7$55b3o$55b3o10bo$67bobo$55bobo9bobo$56b
o11bo9$56bo$55bobo$55bobo$56bo!

[FWKnightship]

Edit 18: Here is a generator. Full density is impossible with this replicator, since the rows would destroy each other.

Code: Select all

x = 371, y = 313, rule = B2ek3-cknr4qrty5-acj6aik/S1c2acn3-ceiy5ejky6i
53b2ob2o$53bo4bo$49b2o2b2o3bo$48b2obob4o$48b4o15bo2b2o8bo10bo$48bo3bob
2o11b3o2bo3b2obo12bo$51b2ob2o11bo8b2o2bo10bo$52bo15bo$52bo15bo$51b2ob
2o11bo8b2o2bo10bo$48bo3bob2o11b3o2bo3b2obo12bo$34bo13b4o15bo2b2o8bo10b
o$36b2o10b2obob4o$33bobo13b2o2b2o3bo$36b2o15bo4bo$34bo18b2ob2o6$56bo$
55bobo$55bobo$56bo9$56bo11bo$55bobo9bobo$67bobo$55b3o10bo$55b3o7$68bo$
55b3o22bo$55bobo8b2ob2o8bobo$55bobo8b2ob2o8bobo$55b3o22bo$68bo7$55b3o
22bo$55b3o10bo23bo$67bobo8b5o8bobo$55bobo9bobo21bobo$56bo11bo23bo5$
317bo$240bo76bo11b2o$240bo11b2o60bobob2o7bo2b2ob3o$80bo11bo144bobob2o
7bo2b2ob3o55bobo10bo2bob4o$56bo47bo132bobo10bo2bob4o54b6o7bo3bob2o12b
2o10b2ob4ob2o$55bobo21bobo9b3o9bobo130b6o7bo3bob2o12b2o10b2ob4ob2o22bo
2b4o7bo2b3o10bob3o6bo3b2obo2bob2o$55bobo20bo3bo20bobo130bo2b4o7bo2b3o
10bob3o6bo3b2obo2bob2o36bobo13b5o5bo4b2ob4ob2o$56bo21bo3bo8b3o10bo145b
obo13b5o5bo4b2ob4ob2o$78bo3bo8b3o$327bobo13b5o5bo4b2ob4ob2o$80bo169bob
o13b5o5bo4b2ob4ob2o28bo7bo2b3o10bob3o6bo3b2obo2bob2o$236bo2b4o7bo2b3o
10bob3o6bo3b2obo2bob2o24b2ob2o6bo3bob2o12b2o10b2ob4ob2o$236b6o7bo3bob
2o12b2o10b2ob4ob2o24bo2b3o6bo2bob4o$80bo156bobo10bo2bob4o56bob2o8bo2b
2ob3o$237bobob2o7bo2b2ob3o58b2o10b2o$78bo3bo8b3o146bo11b2o$56bo21bo3bo
8b3o10bo11bo123bo$55bobo20bo3bo20bobo9bobo186bobo$79bobo9b3o9bobo9bobo
188bo$55b3o46bo11bo185bo17bo$55b3o22bo11bo159b2o10b2o10b2o10b2o12b2o2b
o11bob3o$252b2o10b2o10b2o10b2o12b2o13bo2b3o$301bo2bobo14b2o7b4o2bo$
224bo11bo11bo11bo11bo11bo12bo2bob3o12b2o11bo3bo2bo$224b2o10b2o10b2o10b
2o10b2o10b2o10bo3bo3bo15b2o6bo2b4o2bo26b2o$296bo7bo12bobo8b2ob2o14bobo
10b2o2b2o2b2o$317b2o9bo2b2ob2o9b2o3bo4b2o2bo2bo4bo2bo$297bo19bo13b3o
15bo5b2o3b2o2b2o2b2o$68bo23bo23bo11bo84bo132b3o15b2o$67bobo21bobo21bob
o9bobo83bo11b2o62bobo54b3o15b2o$78b5o8bobo33bobo80bobob2o7bo2b2ob3o57b
obo27b2o10b3o15bo5b2o3b2o2b2o2b2o$55b3o9b3o22bo22b3o10bo81bobo10bo2bob
4o58bo24bo5bo6bo2b2ob2o9b2o3bo4b2o2bo2bo4bo2bo$55b3o9b3o10bo34b3o91b6o
7bo3bob2o12b2o10b2ob4ob2o51bo5bo6b2ob2o14bobo10b2o2b2o2b2o$56bo152bo2b
4o7bo2b3o10bob3o6bo3b2obo2bob2o64bo2b4o2bo26b2o$55bobo165bobo13b5o5bo
4b2ob4ob2o66bo3bo2bo$318bo11b4o2bo2$223bobo13b5o5bo4b2ob4ob2o$209bo2b
4o7bo2b3o10bob3o6bo3b2obo2bob2o$55bobo70bo80b6o7bo3bob2o12b2o10b2ob4ob
2o$80bo34b3o22bo69bobo10bo2bob4o$79bobo33bobo8b2ob2o8bobo68bobob2o7bo
2b2ob3o45bobo$55bobo9b3o45bobo8b2ob2o8bobo71bo11b2o50bobo$56bo10bobo9b
3o33b3o22bo72bo64bo$56bo10bobo9b3o46bo$55bobo9b3o3$55bobo3$115b3o22bo$
115b3o10bo23bo$55bobo69bobo8b5o8bobo111bobo$56bo22b3o33bobo9bobo21bobo
111bobo$55b3o9b3o21b3o22bo11bo23bo113bo$55b3o9b3o8bo3bo8b3o7$140bo11bo
$116bo47bo$78b2ob2o32bobo21bobo9b3o9bobo87bobo$80bo10b3o21bobo20bo3bo
20bobo87bobo$55b3o21bobo9bobo9b3o10bo21bo3bo8b3o10bo89bo$55b3o21b3o21b
3o32bo3bo8b3o$79b3o9bobo$79bobo10bo47bo$79b3o2$140bo2$138bo3bo8b3o$79b
3o34bo21bo3bo8b3o10bo11bo$2b2o51b3o21bobo10bo22bobo20bo3bo20bobo9bobo
63bobo$o2bobo50bo22b3o9bobo21bobo21bobo9b3o9bobo9bobo63bobo$79b3o21b3o
58bo11bo65bo$79bobo9bobo9b3o34bo11bo$5b2o10bo62bo10b3o$5bo12bo7b3o49b
2ob2o$b5o9b3o3bo4b5o2bo4bo2b2o2bo$bo2bo10b2obo8b7o4b3o2b3o$21bo8bo2bo
4bo2b2o2bo$14bobo2b2o$14bobo2b2o$21bo8bo2bo4bo2b2o2bo82bo23bo23bo11bo$
bo2bo10b2obo8b7o4b3o2b3o21b3o57bobo21bobo21bobo9bobo39bobo$b5o9b3o3bo
4b5o2bo4bo2b2o2bo22bo58bobo8b5o8bobo33bobo39bobo$5bo12bo7b3o49bo3bo8b
3o58bo22b3o10bo41bo$5b2o10bo73b3o46bo34b3o$79b3o2$o2bobo$2b2o220bo11b
4o2bo$206b2o28bo3bo2bo$2b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b
2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o12bo25bo2b4o2bo26b2o$3bo11bo11bo
11bo11bo11bo11bo11bo11bo11bo11bo11bo4bo6bo11bo11bo11bo4bo6bo10bo13bo6b
o6b2ob2o14bobo10b2o2b2o2b2o$79b3o93b3o22bo6b3o9b2o6bo6bo2b2ob2o9b2o3bo
4b2o2bo2bo4bo2bo$79bobo56b2ob2o32bobo8b2ob2o8bobo5bobo7bob2o4b2o10b3o
15bo5b2o3b2o2b2o2b2o$79bobo56b2ob2o32bobo8b2ob2o8bobo6bo8bobo32b3o15b
2o$79b3o93b3o22bo17bo33b3o15b2o$140bo47bo36b2o10b3o15bo5b2o3b2o2b2o2b
2o$221bo5bo6bo2b2ob2o9b2o3bo4b2o2bo2bo4bo2bo$221bo5bo6b2ob2o14bobo10b
2o2b2o2b2o$234bo2b4o2bo26b2o$236bo3bo2bo$224bo11b4o2bo$79b3o$91b3o46bo
34b3o$78bo3bo8b3o58bo22b3o10bo$68bo58bobo8b5o8bobo33bobo$67b3o57bobo
21bobo21bobo9bobo$128bo23bo23bo11bo6$78b2ob2o$80bo10b3o$79bobo9bobo9b
3o34bo11bo$79b3o21b3o58bo11bo$56bo22b3o9bobo21bobo21bobo9b3o9bobo9bobo
$55b3o21bobo10bo22bobo20bo3bo20bobo9bobo$79b3o34bo21bo3bo8b3o10bo11bo$
138bo3bo8b3o2$140bo2$79b3o$79bobo10bo47bo$79b3o9bobo$55b3o21b3o21b3o
32bo3bo8b3o$55b3o21bobo9bobo9b3o10bo21bo3bo8b3o10bo$80bo10b3o21bobo20b
o3bo20bobo$78b2ob2o32bobo21bobo9b3o9bobo$116bo47bo$140bo11bo7$55b3o9b
3o8bo3bo8b3o$55b3o9b3o21b3o22bo11bo23bo$56bo22b3o33bobo9bobo21bobo$55b
obo69bobo8b5o8bobo$115b3o10bo23bo$115b3o22bo3$55bobo3$55bobo9b3o$56bo
10bobo9b3o46bo$56bo10bobo9b3o33b3o22bo$55bobo9b3o45bobo8b2ob2o8bobo$
79bobo33bobo8b2ob2o8bobo$80bo34b3o22bo$55bobo70bo5$55bobo$56bo$55b3o9b
3o10bo34b3o$55b3o9b3o22bo22b3o10bo$78b5o8bobo33bobo$67bobo21bobo21bobo
9bobo$68bo23bo23bo11bo8$55b3o22bo11bo$55b3o46bo11bo$79bobo9b3o9bobo9bo
bo$55bobo20bo3bo20bobo9bobo$56bo21bo3bo8b3o10bo11bo$78bo3bo8b3o2$80bo
3$80bo2$78bo3bo8b3o$56bo21bo3bo8b3o10bo$55bobo20bo3bo20bobo$55bobo21bo
bo9b3o9bobo$56bo47bo$80bo11bo8$56bo11bo23bo$55bobo9bobo21bobo$67bobo8b
5o8bobo$55b3o10bo23bo$55b3o22bo7$68bo$55b3o22bo$55bobo8b2ob2o8bobo$55b
obo8b2ob2o8bobo$55b3o22bo$68bo7$55b3o$55b3o10bo$67bobo$55bobo9bobo$56b
o11bo9$56bo$55bobo$55bobo$56bo!

Code: Select all

x = 36, y = 62, rule = B2ek3-cknr4qrty5-acj6aik/S1c2acn3-ceiy5ejky6i
25bo4bo$24bobo2bobo2$6b3o2b3o$6b3o2b3o10bobo2bobo$25bo4bo$6b3o2b3o$6bo
bo2bobo$6bobo2bobo$6b3o2b3o2$6b3o2b3o$6b3o2b3o11b6o$23b2o2b2o2b2o2$6b
3o2b3o$6b3o2b3o4$24bobo2bobo$25bo4bo$4b2ob2o2b2ob2o$4b2o8b2o6b2o8b2o$
22b2o8b2o3$9b2o$9b2o$7bo4bo9bo10bo$5b2o6b2o9bobo2bobo$5b2o6b2o5b5o2b2o
2b5o$4bo3bo2bo3bo10bo2bo$7bo4bo7bobob8obobo$7bo4bo8b6o2b6o$8bo2bo11bo
2bo2bo2bo$24b2o4b2o$24b3o2b3o$25b2o2b2o5$5bo$5bo7b2o$13b2o$2o3b2o6b6o
13b2o$2bo2bobo5bo3bobo4b2o6bobo$2o4b2o9bobo3bobo4bobo2bo$19bo3b2o5bobo
bo$19bo11bobo6$12bo$12b2o3b2o$17b2o$17b2o5b2o$24b2o$24bo!

[wwei23]

I had another idea on a way to search for replicators. This one tricked my program, but that's because it's a failed quadratic replicator:

Code: Select all

x = 4, y = 3, rule = B2en3aeinr4eiqrtyz5cjy6-cn7e/S1c2-ik3anry4cejqr5cnr6ein7e8
b2o$o2bo$b2o!

Edit: Here, have some more Pascal Triangle modulo 3 replicators:

Code: Select all

x = 4, y = 3, rule = B2e3-cnry4ijktwz5eijy6ek8/S1c2-ik3ajkqy4-eintz5ceq6ckn8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2e3-kry4eijr5nqy6ci8/S1c2acn3acnqy4acr5anq6cei7e
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ekn3aeikn4ceiw5jnqy8/S1c2-ek3ackqy4cijqy5cry6k8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ei3-nq4cekqtwy5nry6eik8/S1c2acn3acy4aez5cjn6c7c
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ekn3-cnqr4ceirwz5acjky68/S1c2ac3anqy4aceq5-eik6ce8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2en3-knqr4knt5-cnqr6cen8/S1c2-k3acnqy4acikqyz5k6-ai7e8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ek3aceij4tyz5acky6an78/S1c2ace3acny4aceijky5-aein6ci
b2o$o2bo$b2o!

Also a P79 gun:

Code: Select all

x = 4, y = 3, rule = B2ei3-cqry4cenqtyz5-ikqr6ek/S1c2ace3ack4aeijnry5qr6eik8
b2o$o2bo$b2o!

More replicators:

Code: Select all

x = 4, y = 3, rule = B2en3-cnr4cqtyz5cry6ac8/S1c2ac3acqy4aeijqr5aky6ckn7e8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ek3-knry4jnqtwyz5-cjkn6en7/S1c2aci3-ejnq4aijn5nqry6cn7
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2e3aeijn4enrwyz5einy6-e7c8/S1c2ac3-eijr4ar5ae6cen78
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2eik3-cknr4cjkqtwz5ceiny6kn7e8/S1c2aci3any4acejqwz5jknr6-kn7e8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2eik3aeijr4cqt5eny6-ik8/S1c2acn3ay4aeknqy5y6-n
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ek3-nqry4-acjkq5-aik78/S1c2ac3aiqy4aiwy5enr6c8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ein3aeijq4knqtwy5knry6ck7c8/S1c2acn3aky4aceiknw5knry6c7c
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2e3aeij4ceikqz5ijny6aci78/S1c2-kn3aiy4anrz5eqry6-ak78
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2e3-nqry4ceijnw5ry6a7e/S1c2acn3aqy4aqz5ceq6ace8
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ei3-nry4ciny5ijnry6-ci7e/S1c2ac3akqy4aciryz5aqy6-ak
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ei3aceij4nqtz5-aenr6ekn/S1c2ac3acqry4ainrz5aq6-ek
b2o$o2bo$b2o!

I'm pretty sure that this isn't working, since I asked it specifically for Pascal Triangle Modulo 5, not 3.

[yujh]

Code: Select all

x = 49, y = 3, rule = B36cn78/S2-in3-a4cqy7e8
b2o5b2o35b3o$2o7b2o34bo2bo$bo7bo!

What is this?

[FWKnightship]

Code: Select all

x = 49, y = 3, rule = B36cn78/S2-in3-a4cqy7e8
b2o5b2o35b3o$2o7b2o34bo2bo$bo7bo!

What is this?

40c/232 replicator-based spaceship:

Code: Select all

x = 1201, y = 166, rule = B36cn78/S2-in3-a4cqy7e8
260b3o15b3o59b3o15b3o19b3o15b3o65b3o17b3o9b3o17b3o49b3o17b3o15b3o17b3o
49b3o17b3o9b3o17b3o65b3o15b3o19b3o15b3o59b3o15b3o$260bobo15bobo59bobo
15bobo19bobo15bobo65bo2bo15bo2bo9bo2bo15bo2bo49bo2bo15bo2bo15bo2bo15bo
2bo49bo2bo15bo2bo9bo2bo15bo2bo65bobo15bobo19bobo15bobo59bobo15bobo$
260bo19bo59bo19bo19bo19bo66bo19bo11bo19bo51bo19bo17bo19bo51bo19bo11bo
19bo66bo19bo19bo19bo59bo19bo$3o15b3o19b3o15b3o59b3o15b3o13b3o15b3o53b
3o15b3o219bo17bo13bo17bo53bo17bo19bo17bo53bo17bo13bo17bo219b3o15b3o53b
3o15b3o13b3o15b3o59b3o15b3o19b3o15b3o$obo15bobo19bobo15bobo59bobo15bob
o13bobo15bobo53bobo15bobo703bobo15bobo53bobo15bobo13bobo15bobo59bobo
15bobo19bobo15bobo$o19bo19bo19bo59bo19bo13bo19bo53bo19bo703bo19bo53bo
19bo13bo19bo59bo19bo19bo19bo12$414bobo367bobo$414b2o369b2o$415bo369bo
12$12b2o1173b2o$12bobo1171bobo$12bo1175bo16$70b2o1057b2o$70bobo1055bob
o$70bo1059bo16$128b2o941b2o$128bobo939bobo$128bo943bo16$186b2o825b2o$
186bobo823bobo$186bo827bo16$244b2o709b2o$244bobo707bobo$244bo711bo10$
356bobo483bobo$356b2o485b2o$357bo485bo4$302b2o593b2o$302bobo591bobo$
302bo595bo12$354bo17bo455bo17bo$353bobo15bobo453bobo15bobo$352b2obo15b
ob2o451b2obo15bob2o$354bo17bo106bo17bo205bo17bo106bo17bo$478bobo15bobo
203bobo15bobo$477b2obo15bob2o201b2obo15bob2o$479bo17bo205bo17bo$430bo
17bo119bo17bo27bo17bo119bo17bo$429bobo15bobo117bobo15bobo25bobo15bobo
117bobo15bobo$428b2obo15bob2o115b2obo15bob2o23b2obo15bob2o115b2obo15bo
b2o$430bo17bo119bo17bo27bo17bo119bo17bo10$519b3o157b3o$519bo2bo155bo2b
o$517b2o10b2ob2o133b2ob2o10b2o$517bo9bo5bo133bo5bo9bo$356bo17bo141bob
2o6bo6bo133bo6bo6b2obo141bo17bo$355bobo15bobo141b2obobo3b2o3bo137bo3b
2o3bobob2o141bobo15bobo$354b2obo15bob2o141b2obo3bobo3bo137bo3bobo3bob
2o141b2obo15bob2o$356bo17bo144bo5bo2b3o139b3o2bo5bo144bo17bo$520b2o3bo
149bo3b2o$520b2ob2o151b2ob2o$522bo155bo!

10c/58d:

Code: Select all

x = 24, y = 26, rule = B36cn78/S2-in3-a4cqy7e8
15bo$13b2o2bo$13bo2bo$14b2o6$21bo$18bo$17bo4b2o$b2o13bobo4bo$bobo10b2o
b3o$o2bo10bo3bob2o$2bo9bo4bo2bo$bo15bo2bo$15b3o8$13bo!

10c/58d glider siderake:

Code: Select all

x = 20, y = 17, rule = B36cn78/S2-in3-a4cqy7e8
14bo$13bobo$12b5o$15bobo$16b3o$18b2o$17bobo$18b2o$16b3o$15bobo$12b5o$
13bobo$14bo2$2bo$bobo$5o!

10c/58d glider backrake:

Code: Select all

x = 16, y = 16, rule = B36cn78/S2-in3-a4cqy7e8
15bo$14b2o$13bobo$14b2o$15bo9$3o$obo$obo!

10c/58d B backrake:

Code: Select all

x = 17, y = 13, rule = B36cn78/S2-in3-a4cqy7e8
16bo$15b2o$14bobo$15b2o$16bo6$2bo$bobo$5o!

20c/116d B backrake:

Code: Select all

x = 15, y = 14, rule = B36cn78/S2-in3-a4cqy7e8
12bo$11b3o$10bo2b2o$10b3obo$10bo2b2o$11b3o$12bo5$2bo$bobo$5o!

Sierpinski builder:

Code: Select all

x = 18, y = 15, rule = B36cn78/S2-in3-a4cqy7e8
14bo$13b3o$12b2o2bo$11b2obob2o$11b2o2bobo$11b2obob2o$12b2o2bo$13b3o$
14bo4$2bo$bobo$5o!

[wwei23]

Code: Select all

x = 4, y = 3, rule = B2ei3aceij4nqtz5-aenr6ekn/S1c2ac3acqry4ainrz5aq6-ek
b2o$o2bo$b2o!

It's probably a good idea to weed out wide swathes of the search space where the beehive replicates in known ways, like this pascal triangle modulo 3 here. This one works in pB2e-ac3eijy-n4t-ar5y678/S1c-e2ac-k3ay4a-et5-ei6c78. Yes, I did get the Macbi partial notation by hand.
EDIT: There are also tons of variations that differ in, say, a single dot spark here, or a domino there.

[yujh]

xq116 from apgsearch(that rule is apgsearchable!!!!!)

Code: Select all

x = 32, y = 32, rule = B36cn78/S2-in3-a4cqy7e8
o3bo5b4ob2ob4o5bo3bo$b2ob2ob2o2b2obo2bob2o2b2ob2ob2o$bo4bo2b2obo6bob2o
2bo4bo$6b5ob8ob5o$2o2b2o2b4ob6ob4o2b2o2b2o$bo2bo2b2o2bob6obo2b2o2bo2bo
$2b2o2bob4obo4bob4obo2b2o$bobobob3ob4o2b4ob3obobobo$bob5obob10obob5obo
$2b3ob5o4b2o4b5ob3o$ob3obo2bobo3b2o3bobo2bob3obo$2o2b5obobobo2bobobob
5o2b2o$4o3b2o2bob2o2b2obo2b2o3b4o$o2b6o3bo6bo3b6o2bo$bob3ob2o2b2ob4ob
2o2b2ob3obo$o2b3o2b3o3bo2bo3b3o2b3o2bo$o2b3o2b3o3bo2bo3b3o2b3o2bo$bob
3ob2o2b2ob4ob2o2b2ob3obo$o2b6o3bo6bo3b6o2bo$4o3b2o2bob2o2b2obo2b2o3b4o
$2o2b5obobobo2bobobob5o2b2o$ob3obo2bobo3b2o3bobo2bob3obo$2b3ob5o4b2o4b
5ob3o$bob5obob10obob5obo$bobobob3ob4o2b4ob3obobobo$2b2o2bob4obo4bob4ob
o2b2o$bo2bo2b2o2bob6obo2b2o2bo2bo$2o2b2o2b4ob6ob4o2b2o2b2o$6b5ob8ob5o$
bo4bo2b2obo6bob2o2bo4bo$b2ob2ob2o2b2obo2bob2o2b2ob2ob2o$o3bo5b4ob2ob4o
5bo3bo!

P21

Code: Select all

x = 32, y = 32, rule = B36cn78/S2-in3-a4cqy7e8
4b3o4b2ob4ob2o4b3o$bobobo8bo2bo8bobobo$3bobo3bo12bo3bobo$b4o5b3ob4ob3o
5b4o$o2b4ob2o12b2ob4o2bo$3obobobo2b2obo2bob2o2bobobob3o$o3b3o3b3o6b3o
3b3o3bo$7bo2bo10bo2bo$4b2o4b12o4b2o$2bobo5b2ob6ob2o5bobo$3bo2b4o2bo6bo
2b4o2bo$o2bob2ob2o2b3o2b3o2b2ob2obo2bo$o2bob2obob12obob2obo2bo$8b2ob2o
2b2o2b2ob2o$2obobo2b2ob2o6b2ob2o2bobob2o$o2bo4b2o2b2ob2ob2o2b2o4bo2bo$
o2bo4b2o2b2ob2ob2o2b2o4bo2bo$2obobo2b2ob2o6b2ob2o2bobob2o$8b2ob2o2b2o
2b2ob2o$o2bob2obob12obob2obo2bo$o2bob2ob2o2b3o2b3o2b2ob2obo2bo$3bo2b4o
2bo6bo2b4o2bo$2bobo5b2ob6ob2o5bobo$4b2o4b12o4b2o$7bo2bo10bo2bo$o3b3o3b
3o6b3o3b3o3bo$3obobobo2b2obo2bob2o2bobobob3o$o2b4ob2o12b2ob4o2bo$b4o5b
3ob4ob3o5b4o$3bobo3bo12bo3bobo$bobobo8bo2bo8bobobo$4b3o4b2ob4ob2o4b3o!

[wwei23]

Nice rule. I noticed this in a rule where the beehive is a failed replicator that turns into a period-48 puffer. I like how these P14s can interact in this unusual way, "siamesing" their rotors together.

Code: Select all

x = 582, y = 49, rule = B2ek3eijq4kntw5ery6-n/S1c2ace3acjr4acijqwy5jnqry6e7c8
272bobo8bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo$259bo11bo2b
2o6b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$
257b2obo9b6o5b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b
2o22b2o$238b2o7b2o10bobo$234b2ob4ob2o2b4o2b2ob4obo$233bo2b2o2b2o2b3o2b
3o2b2o$234b2ob4ob2o2b4o2b2ob4obo$238b2o7b2o10bobo$257b2obo9b6o5b2o22b
2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$259bo11bo2b
2o6b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22bo$272b
obo8bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo31bo$578bobo$558bo
20bobo$543b2ob2o10b2o20b2o$543b2o2bo11b2o$543b2ob2o10b2o20b2o$558bo20b
obo$578bobo$579bo$67bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo
23bo23bo23bo23bo23bo23bo23bo23bo23bo$42b2o22b2o22b2o22b2o22b2o22b2o22b
2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b
2o22b2o22b2o$41bob2o20b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o
22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$7b2o12bo
12b2o8b2o$bob2ob4ob2obo6b2o5b2o3b5o3b2obo$o3b3o2b3o3bo6bo4bo2bob2ob2o
5b2o$bob2ob4ob2obo6b2o5b2o3b5o3b2obo$7b2o12bo12b2o8b2o$41bob2o20b2o22b
2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b
2o22b2o22b2o22b2o22b2o22b2o22b2o$42b2o22b2o22b2o22b2o22b2o22b2o22b2o
22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o
22b2o22b2o$67bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23b
o23bo23bo23bo23bo23bo23bo23bo$579bo$578bobo$558bo20bobo$543b2ob2o10b2o
20b2o$543b2o2bo11b2o$543b2ob2o10b2o20b2o$558bo20bobo$578bobo$272bobo8b
o23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo31bo$259bo11bo2b2o6b2o22b
2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22bo$257b2obo9b6o
5b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$238b
2o7b2o10bobo$234b2ob4ob2o2b4o2b2ob4obo$233bo2b2o2b2o2b3o2b3o2b2o$234b
2ob4ob2o2b4o2b2ob4obo$238b2o7b2o10bobo$257b2obo9b6o5b2o22b2o22b2o22b2o
22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$259bo11bo2b2o6b2o22b2o
22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$272bobo8bo23bo
23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo23bo!

This puffer uses only one "track" of replicators.

Code: Select all

x = 9, y = 64, rule = B2ek3eijq4kntw5ery6-n/S1c2ace3acjr4acijqwy5jnqry6e7c8
3b3o$3b3o3$3b3o$3b3o5$3b3o$2b2ob2o$2b2ob2o$3b3o5$3b3o$3b3o3$3b3o$3b3o$
3bobo$2b2ob2o$3b3o$4bo2$4bo$3b3o$4bo$3b3o2$3b3o$4bo2$3b3o$2b2ob2o$2b2o
b2o$3b3o4$2bo3bo$3o3b3o$2o5b2o2$2o5b2o$b2o3b2o4$3b3o$2b2ob2o3$4bo$3b3o
$3bobo2$3bobo$2b2ob2o$2bo3bo!

EDIT: Failed replicator becomes a pair of period-24 spaceships.

Code: Select all

x = 22, y = 3, rule = B2en3einq4cityz5cjnry6i7c8/S1c2acn3aiy4aiqw5acekq6aek
4o3b2o10b2o$6bo2bo8bo2bo$4o3b2o10b2o!

Edit 2: Wait, you can make a shuttle?!!!!!

Code: Select all

x = 134, y = 37, rule = B2en3einq4cityz5cjnry6i7c8/S1c2acn3aiy4aiqw5acekq6aek
132bo2$45b2o84b3o$4o28bo2bo$32b4o8b4o3b2o78b3o$4o28bo2bo$45b2o84b3o2$
132bo20$48bo$2b3o$27b2o18b3o$2b3o32b2o2b2o$26b4o7b2o2b2o4b3o$3bo33b2o
2b2o$27b2o18b3o2$48bo!

Edit 3: Beehive quadratic replicator that looks failed but isn't:

Code: Select all

x = 4, y = 3, rule = B2ek3aeiq4cjqy5-cjqr6ce7/S1c2ac3-einr4aknrw5-cikr6ckn7e8
b2o$o2bo$b2o!

Edit 4: 2c/4 from that rule.

Code: Select all

x = 7, y = 4, rule = B2ek3aeiq4cjqy5-cjqr6ce7/S1c2ac3-einr4aknrw5-cikr6ckn7e8
2obo2bo$2ob4o$3bo2bo$2o!

Edit 5: Sparky pascal triangle modulo 3.

Code: Select all

x = 4, y = 3, rule = B2ekn3aeijr4qrtwyz5ajy6-in8/S1c2ac3aiknq4nqryz5ejk6n78
b2o$o2bo$b2o!

Edit 6: What direction does this replicate in again? (Although I'd like to see a nonfailed version of this.)

Code: Select all

x = 4, y = 3, rule = B2e3-anqy4jqwz5cekry6i8/S1c2acn3akr4inrwz5acr6ekn
b2o$o2bo$b2o!

Edit 7: Spaceship!

Code: Select all

x = 3, y = 7, rule = B2e3-anqy4jqwz5cekry6i8/S1c2acn3akr4inrwz5acr6ekn
3o$3o2$3o$obo2$obo!

Edit 8: Usually, failed replicators end up exploding. Not this one, which turns into a P100 oscillator instead.

Code: Select all

x = 36, y = 16, rule = B2ekn3einq4eikqrtw5inry6-ae7c/S1c2acn3-einr4knyz5aer7c8
2bo29bo$2b2o28b2o$5o25b5o$b5o25b5o$2b2o28b2o$3bo29bo2$27bo$28bo2$22bo$
22b2o$20b5o$21b5o$22b2o$23bo!

Edit 9: THIS REPLICATOR IS SO SPARKY

Code: Select all

x = 21, y = 35, rule = B3aijnr4ajqw5cej6cen7e8/S2-cn3-cy4eij5cenq6ae7e8
17b3o$19bo$18bo4$b2o$3bo$2ob2o$bo$2b2o13bo$17b2o$18b2o$17b2o17$18b2o$
17bo2bo$17bo2bo$17bo2bo$18b2o!

Edit 10: Found a really unusual replicator!

Code: Select all

x = 4, y = 3, rule = B2e3ceiky4cekryz5cky6an7c/S1c2ace3ay4aejkn5ry6ck
b2o$o2bo$b2o!

Edit 11: This thing doesn't even seem to have a constant velocity.

Code: Select all

x = 22, y = 38, rule = B2e3ceiky4cekryz5cky6an7c/S1c2ace3ay4aejkn5ry6c
19b2o$18bo2bo$19b2o22$2o4b2o$bo4bo2$19b2o$18bo2bo$19b2o3$19b2o$18bo2bo
$19b2o2$bo4bo$2o4b2o!

Edit 12: P18 in another rule with the replicator

Code: Select all

x = 5, y = 5, rule = B2e3ceiky4cejkryz5cky6an7c/S1c2ace3ay4aejkn5ry6c
2ob2o$2ob2o$2bo$2ob2o$2ob2o!

Edit 13: Pascal triangle modulo 3 made from that:

Code: Select all

x = 4, y = 8, rule = B2e3ceiky4cejkry5cky6an/S1c2ace3ay4aejkn5ry6c
b2o$o2bo$b2o3$b2o$o2bo$b2o!

Edit 14: OOPS

Code: Select all

x = 3, y = 3, rule = B2e3eiy4cejkry5cky6an/S1c2-ik3ay4ae6c
bo$obo$b2o!

Edit 15: Tweaked the rule more.

Code: Select all

x = 4, y = 10, rule = B2e3-ajnr4cjry5cky/S1c2-ik3ay4ace6-ei
2bo$bobo$o2bo$b3o3$b3o$o2bo$bobo$2bo!

Edit 16: Breeder in the rule that got me into this stuff in the first place:

Code: Select all

x = 310, y = 458, rule = B2e35y7e/S1c2ace3an
146bo2bo$142bo3b4o3bo$142b2o2bo2bo2b2o$142bo3b4o3bo$146bo2bo$139b2o$
139b2o$146bo2bo$142bo3b4o3bo$142b2o2bo2bo2b2o$142bo3b4o3bo$146bo2bo35$
72b2o51b2o2b2o$68b2obo2bob2o43bo2bo2b2o2bo2bo$67bo4b2o4bo42b2o10b2o$
68b2obo2bob2o43bo2bo2b2o2bo2bo$72b2o51b2o2b2o$64b2o53b2o$64b2o53b2o$
72b2o51b2o2b2o$68b2obo2bob2o43bo2bo2b2o2bo2bo$67bo4b2o4bo42b2o10b2o
132b2o2b2o10b2o2b2o$68b2obo2bob2o43bo2bo2b2o2bo2bo128bo2bo2b2o2bo2bo2b
o2bo2b2o2bo2bo$72b2o51b2o2b2o119b2o11b2o10b2o2b2o10b2o$250b2o11bo2bo2b
2o2bo2bo2bo2bo2b2o2bo2bo$267b2o2b2o10b2o2b2o$82b2o22b2o33b2o11b2o9b2o
11b2o9b2o11b2o9b2o11b2o9b2o38b2o$82b2o22b2o33b2o11b2o9b2o11b2o9b2o11b
2o9b2o11b2o9b2o38b2o$267b2o2b2o10b2o2b2o$250b2o11bo2bo2b2o2bo2bo2bo2bo
2b2o2bo2bo$250b2o11b2o10b2o2b2o10b2o$200bo62bo2bo2b2o2bo2bo2bo2bo2b2o
2bo2bo$199bobo65b2o2b2o10b2o2b2o$199bobo2$143b2o14b2o61bo2bo12bo2bo13b
2o30b2o14b2o$42bo96b2obo2bob2o6b2obo2bob2o22b2o29bo3b4o3bo4bo3b4o3bo5b
2obo2bob2o22b2obo2bob2o6b2obo2bob2o$42b2o94bo4b2o4bo4bo4b2o4bo20bo31b
2o2bo2bo2b2o4b2o2bo2bo2b2o4bo4b2o4bo20bo4b2o4bo4bo4b2o4bo$42bo96b2obo
2bob2o6b2obo2bob2o22b2o8b3obo16bo3b4o3bo4bo3b4o3bo5b2obo2bob2o22b2obo
2bob2o6b2obo2bob2o$143b2o14b2o36bobo22bo2bo12bo2bo13b2o6b2o22b2o14b2o$
126b2o69b3ob2o60b2o$8b2o116b2o68bo3bo$4b2obo2bob2o181bo42bo2bo$3bo4b2o
4bo85b2o70b2o22b2o36bo3b4o3bo$4b2obo2bob2o86b2o70b2o60b2o2bo2bo2b2o$8b
2o190bo33bo3b4o3bo$2o236bo2bo$2o58b2o2b2o134bo30b2o$8b2o46bo2bo2b2o2bo
2bo99b2o60b2o$4b2obo2bob2o42b2o10b2o99b2o67bo2bo$3bo4b2o4bo41bo2bo2b2o
2bo2bo164bo3b4o3bo$4b2obo2bob2o46b2o2b2o168b2o2bo2bo2b2o$8b2o44b2o58bo
2bo116bo3b4o3bo22bo3bo$54b2o54bo3b4o3bo116bo2bo25b3ob3o$60b2o2b2o44b2o
2bo2bo2b2o$56bo2bo2b2o2bo2bo40bo3b4o3bo$56b2o10b2o44bo2bo$56bo2bo2b2o
2bo2bo37b2o$60b2o2b2o41b2o$114bo2bo$110bo3b4o3bo$110b2o2bo2bo2b2o$110b
o3b4o3bo$114bo2bo13$244bo3bo$243b3ob3o23$220bo3bo$219b3ob3o23$196bo3bo
$195b3ob3o23$172bo3bo$171b3ob3o23$148bo3bo$147b3ob3o43$147b3ob3o$148bo
3bo23$171b3ob3o$172bo3bo23$195b3ob3o$196bo3bo23$219b3ob3o$220bo3bo23$
243b3ob3o$244bo3bo13$114bo2bo$110bo3b4o3bo$110b2o2bo2bo2b2o$110bo3b4o
3bo$114bo2bo$60b2o2b2o41b2o$56bo2bo2b2o2bo2bo37b2o$56b2o10b2o44bo2bo$
56bo2bo2b2o2bo2bo40bo3b4o3bo$60b2o2b2o44b2o2bo2bo2b2o$54b2o54bo3b4o3bo
116bo2bo25b3ob3o$8b2o44b2o58bo2bo116bo3b4o3bo22bo3bo$4b2obo2bob2o46b2o
2b2o168b2o2bo2bo2b2o$3bo4b2o4bo41bo2bo2b2o2bo2bo164bo3b4o3bo$4b2obo2bo
b2o42b2o10b2o99b2o67bo2bo$8b2o46bo2bo2b2o2bo2bo99b2o60b2o$2o58b2o2b2o
134bo30b2o$2o236bo2bo$8b2o190bo33bo3b4o3bo$4b2obo2bob2o86b2o70b2o60b2o
2bo2bo2b2o$3bo4b2o4bo85b2o70b2o22b2o36bo3b4o3bo$4b2obo2bob2o181bo42bo
2bo$8b2o116b2o68bo3bo$126b2o69b3ob2o60b2o$143b2o14b2o36bobo22bo2bo12bo
2bo13b2o6b2o22b2o14b2o$42bo96b2obo2bob2o6b2obo2bob2o22b2o8b3obo16bo3b
4o3bo4bo3b4o3bo5b2obo2bob2o22b2obo2bob2o6b2obo2bob2o$42b2o94bo4b2o4bo
4bo4b2o4bo20bo31b2o2bo2bo2b2o4b2o2bo2bo2b2o4bo4b2o4bo20bo4b2o4bo4bo4b
2o4bo$42bo96b2obo2bob2o6b2obo2bob2o22b2o29bo3b4o3bo4bo3b4o3bo5b2obo2bo
b2o22b2obo2bob2o6b2obo2bob2o$143b2o14b2o61bo2bo12bo2bo13b2o30b2o14b2o
2$199bobo$199bobo65b2o2b2o10b2o2b2o$200bo62bo2bo2b2o2bo2bo2bo2bo2b2o2b
o2bo$250b2o11b2o10b2o2b2o10b2o$250b2o11bo2bo2b2o2bo2bo2bo2bo2b2o2bo2bo
$267b2o2b2o10b2o2b2o$82b2o22b2o33b2o11b2o9b2o11b2o9b2o11b2o9b2o11b2o9b
2o38b2o$82b2o22b2o33b2o11b2o9b2o11b2o9b2o11b2o9b2o11b2o9b2o38b2o$267b
2o2b2o10b2o2b2o$250b2o11bo2bo2b2o2bo2bo2bo2bo2b2o2bo2bo$72b2o51b2o2b2o
119b2o11b2o10b2o2b2o10b2o$68b2obo2bob2o43bo2bo2b2o2bo2bo128bo2bo2b2o2b
o2bo2bo2bo2b2o2bo2bo$67bo4b2o4bo42b2o10b2o132b2o2b2o10b2o2b2o$68b2obo
2bob2o43bo2bo2b2o2bo2bo$72b2o51b2o2b2o$64b2o53b2o$64b2o53b2o$72b2o51b
2o2b2o$68b2obo2bob2o43bo2bo2b2o2bo2bo$67bo4b2o4bo42b2o10b2o$68b2obo2bo
b2o43bo2bo2b2o2bo2bo$72b2o51b2o2b2o35$146bo2bo$142bo3b4o3bo$142b2o2bo
2bo2b2o$142bo3b4o3bo$146bo2bo$139b2o$139b2o$146bo2bo$142bo3b4o3bo$142b
2o2bo2bo2b2o$142bo3b4o3bo$146bo2bo!

Generator for that really weird replicator:

Code: Select all

x = 42, y = 22, rule = B2e3-ajnr4cjry5cky/S1c2-ik3ay4ace6-ei
3o$2o38b2o$obo36b3o$38bo$39b3o$obo37b2o$2o21b3o$3o20b3o8b2o$8b2o3b2o9b
o10bo$8b2o3b2o6bo$18bobobo3bo13b2o$39b3o$38bo$20b2o17b3o$3b3o8b3o3bo
19b2o$3b2o9b2o$3bobo8bobo$21bo2$3bobo8bobo$3b2o9b2o$3b3o8b3o!

Edit 17: I noticed that that generator blew itself up after several thousand generations, due to a freak interaction between two adjacent rows. Will fix.
Edit 18:

Code: Select all

x = 77, y = 29, rule = B2e3-ajnr4cjry5cky/S1c2-ik3ay4ace6-ei
30b3o$30b2o$30bobo3$30bobo$3o27b2o$2o28b3o$obo3$obo72b2o$2o72b3o$3o26b
2o20b2o20bo$8b2o3b2o15bo20bo22b3o$8b2o3b2o4bo55b2o$18b3o$70bo$69b2o$
47b3o13b3o$3b3o8b3o13b3o13b3o14b2o10b2o$3b2o9b2o14b2o14b2o2bo12bobo8b
3o$3bobo8bobo13bobo13bo2bo23bo$48bo25b3o$48bo14bobo9b2o$3bobo8bobo13bo
bo13bo2bo13b2o$3b2o9b2o14b2o14b2o2bo12b3o$3b3o8b3o13b3o13b3o$47b3o!

[FWKnightship]

Code: Select all

x = 5, y = 5, rule = 2-in3-ay4cinyz7e/2i3-ce6cn78/5
2.A$.3A$2A2CA$.B.2A$3.D!

Code: Select all

x = 5, y = 5, rule = 2-in3-ay4cinyz7e/2i3-ce4e6cn78/5
2.A$.3A$2A2CA$.B.2A$3.D!

[wwei23]

Check out this cool replicator! Anarchic AND wave-producing!

Code: Select all

x = 4, y = 3, rule = B2en3aeiy4ijtw5-aqr6-ek8/S1c2-ik3-ekq4jnrw5ajq6a
b2o$o2bo$b2o!

Edit: Help

Code: Select all

x = 4, y = 3, rule = B34c/S2-cn3ijnqr4aci5r7e
bo$3o$ob2o!

Edit 2: This replicator is dirty, yet it refuses to turn into a big ball of chaos.

Code: Select all

x = 4, y = 3, rule = B3-k/S2-i3-ack4ciz7c
2bo$b3o$2obo!

Edit 3: This replicator is dirty, but I like how it replicates in a ring.

Code: Select all

x = 4, y = 3, rule = B3-ky8/S2-i3-ack4ciz5e
2obo$b3o$2bo!

Edit 4: This failed replicator is a period 83 oscillator.

Code: Select all

x = 4, y = 3, rule = B2e3eijq4cijntz5ejny6k78/S1c2-ek3ackqr4z5jknqr6ckn
b2o$o2bo$b2o!
[[ STOP 45 ]]

Edit 5: A literal pi ship in that rule:

Code: Select all

x = 4, y = 3, rule = B2e3eijq4cijntz5ejny6k78/S1c2-ek3ackqr4z5jknqr6ckn
2o$2obo$o2bo!

Edit 6: I usually don't consider pascal triangle mod 3 replicators interesting anymore since there are so many of them, but this one also has the unusual speed of 7c/20. Now that grabs my attention.

Code: Select all

x = 9, y = 63, rule = B2e3-ajq4cijy5aciy6c8/S1c2aci3acqy4aq5ajkny6-a7c8
2o6bo$2o2b3obo$2o6bo18$4bo2$b2obo$obo3bo$bo2bobo16$3bo$ob2o$4o$ob2o$3b
o16$b2o$o2bo$b2o!

[AforAmpere]

Replicators that don't move at the speed their first replication indicates:

Code: Select all

x = 1, y = 3, rule = B2aei3ay4airty5ci6i8/S01e2in3ejqr4r5aey6ci8
o2$o!

Code: Select all

x = 1, y = 3, rule = B2-ck3r4airy5ciy6i/S01e2i3enqr4jr5e6ci8
o2$o!

[wwei23]

Replicators that don't move at the speed their first replication indicates:

Nice finds. Any that follow other replication rules? (This speed thing is one of the reasons why I run replicators through multiple replication cycles before adding them to the filter list, which prevents my random rule picker from picking a rule from a rulespace with a known replicator evolution path.)

[AforAmpere]

Any that follow other replication rules?

Not that I saw in my results, but that doesn't necessarily mean they weren't there. I can try specifically searching for some other replication rules in a bit, and see if I come up with anything.

EDIT, faster than you'd expect, at 8c/27:

Code: Select all

x = 1, y = 3, rule = B2aei3ackry4air5ciy6i8/S01e2i3eqr4akqrty5aey6ci8
o2$o!

[wwei23]

I can try specifically searching for some other replication rules in a bit, and see if I come up with anything.

Out of curiosity, how do you (not me) specifically search for replication rules?

[AforAmpere]

Out of curiosity, how do you (not me) specifically search for replication rules?

With a modified version of a search program that I've been writing called EnumPattEvo. The version on Github can't really do this yet, but I'll probably update it once I change the input system. You could also potentially do this with LLS, but the number of gens these take is pretty high, and I'm not sure how that would go.