Rules with interesting replicators

[snowman]

Interesting piplicator with boat pairs:

Code: Select all

x = 25, y = 9, rule = B36n/S2-i36a
2bo19bo$b3o5b2o3b2o5b3o$2ob2o4bobobobo4b2ob2o$4b2o4bo3bo4b2o$4bobo11bo
bo$4b2o13b2o$2ob2o15b2ob2o$b3o17b3o$2bo19bo!

The rules B3/S2-i36a and B36n/S2-i35c6a8 contain a failed verison of this

[b-engine]

A 7c/23o replicator that seems simulate W150:

Code: Select all

x = 3, y = 10, rule = B35y6k7e/S236c
2o$3o$2o5$2o$3o$2o!

A t-tetromino will evolve into 2 puffers instead:

Code: Select all

x = 2, y = 3, rule = B35y6k7e/S236c
o$2o$o!

[Plasmath]

This replicator appears to have a bounding box which grows upward at a logarithmic pace:

Code: Select all

x = 5, y = 5, rule = B3airy4ewz/S2-i3-ac4i5aHistory
.2A$2A.2A$.A2.A$4.A$2.2A!

[Yoel]

Code: Select all

x = 30, y = 32, rule = 238/345678/3
2$5.A$4.3A$4.4A$4.3A$5.A!

[NimbleRogue]

What is the nature of this replicator? From the diagonal, it seems to follow some standard 1d behavior, but the diagonal seems to form a weird serpinski like fractial

Code: Select all

x = 3, y = 3, rule = B3aijr4ekz5er/S2-ci3-acy4einrtz5n6c7
2o$b2o$bo!

[FWKnightship]

Code: Select all

x = 4, y = 5, rule = B1357/S02468|B/S45678
2A$.2A$2.2A$.2A$2A!

This pattern grows like a straight line, until generation 40800 (or 38300 in LifeViewer):

Code: Select all

x = 230, y = 11, rule = B1357/S02468|B/S45678
86.A56.A$85.A.A54.A.A$55.2A13.A15.A56.A15.A13.2A$2A13.A22.2A16.A12.3A
34.2A50.3A12.A16.2A22.A13.2A$.2A11.2A17.2A2.2A13.2A2.2A10.A38.2A52.A
10.2A2.2A13.2A2.2A17.2A11.2A$2.2A9.2A.A15.6A13.A4.3A9.2A38.2A50.2A9.
3A4.A13.6A15.A.2A9.2A$.2A11.2A17.2A2.2A13.2A2.2A10.A38.2A52.A10.2A2.
2A13.2A2.2A17.2A11.2A$2A13.A22.2A16.A12.3A34.2A50.3A12.A16.2A22.A13.
2A$55.2A13.A15.A56.A15.A13.2A$85.A.A54.A.A$86.A56.A!

This rule also has a true replicator:

Code: Select all

x = 1, y = 6, rule = B1357/S02468|B/S45678
A5$A!

[Naszvadi]

What is the nature of this replicator? From the diagonal, it seems to follow some standard 1d behavior, but the diagonal seems to form a weird serpinski like fractial

Code: Select all

x = 3, y = 3, rule = B3aijr4ekz5er/S2-ci3-acy4einrtz5n6c7
2o$b2o$bo!

Spaceship using 2 engines, speed is 10/144 diagonal:

Code: Select all

#C [[ TRACK 10/144 -10/144 ]]
x = 43, y = 42, rule = B3aijr4ekz5er/S2-ci3-acy4einrtz5n6c7
2b3o$2bo4bo$2bo5$2b2ob2o$2bo3bo$2bo3bo$3b3o17$2b2o$bobo$2obo$b2o$2bo3$
41bo$33b3o$32bo2bo$32bo9bo$13b3o16bo2bo6bo$11b2o2bo17b3o4b3o$12b3o$13b
o!

[haaaaaands]

b1e2-a4k/s134's 2 cell replicator is interesting for its tiny size and the fact its speed is c

Code: Select all

x = 2, y = 1, rule = B1e2-a4k/S134
2o!

mostly its tiny size, which is very impressive (i've never seen such a small one in any other rule soooo)

[b-engine]

b1e2-a4k/s134's 2 cell replicator is interesting for its tiny size and the fact its speed is c

Code: Select all

x = 2, y = 1, rule = B1e2-a4k/S134
2o!

mostly its tiny size, which is very impressive (i've never seen such a small one in any other rule soooo)

It works in B1e/S1e:

Code: Select all

x = 2, y = 1, rule = B1e/S1e
2o!

[Period1GliderGun]

b1e2-a4k/s134's 2 cell replicator is interesting for its tiny size and the fact its speed is c

Code: Select all

x = 2, y = 1, rule = B1e2-a4k/S134
2o!

mostly its tiny size, which is very impressive (i've never seen such a small one in any other rule soooo)

It works in B1e/S1e:

Code: Select all

x = 2, y = 1, rule = B1e/S1e
2o!

The minrule is B1e/S1e and the maxrule is B1e2-a3-i45678/S012-i345678.

[b-engine]

Not sure what 1D rule it follows, maybe W150:

Code: Select all

x = 3, y = 3, rule = B2i3aikq4qw5aen6in/S2-in3-acky4i5jq6c
obo$obo$3o!

EDIT:
Shuttling replicator:

Code: Select all

x = 4, y = 4, rule = B3aei5/S23-a4i
3o$o$o2bo$b3o!

[haaaaaands]

b1e2-a4k/s134's 2 cell replicator is interesting for its tiny size and the fact its speed is c

Code: Select all

x = 2, y = 1, rule = B1e2-a4k/S134
2o!

mostly its tiny size, which is very impressive (i've never seen such a small one in any other rule soooo)

update: found an even smaller replicator...

Code: Select all

x = 1, y = 1, rule = B1c/S12
o!

[b-engine]

I don't know if this emulates any 1D rule:

Code: Select all

x = 4, y = 3, rule = B3-cknr/S2-c34i5n
2obo$b3o$2bo!

EDIT:
Probably a superbreeder:

Code: Select all

x = 3, y = 4, rule = B3aijkr4ckz5cek6in7c8/S2-i3-ac4einrtyz5ckn6cn7c
o$2o$b2o$2o!

[wildmyron]

I'm sure I recently saw a query about the existence of a rule with a replicator emulating 1D CA rule W30. I can't seem to find the post now, but here are a couple of examples:

Code: Select all

#C p2 replicator with speed c emulating W30:
x = 2, y = 4, rule = B2ae3aijr4n5i/S2ik6c
o$2o$2o$o!

Code: Select all

#C p3 replicator with speed c emulating W30:
x = 2, y = 5, rule = B2aei3aei4rtyz5e7e/S2k3en4ait
o$2o$bo$2o$o!

Edit: add word to fix grammar

[Pocholito]

Not sure if these count, as they are more so like the failed replicators in CGOL than those in this thread. (See gen 13 on first.)

Code: Select all

x = 4, y = 3, rule = B35iy/S23
b2o$o2bo$b2o!

Code: Select all

x = 15, y = 3, rule = B35y/S23-q6a
3o9b3o$2o11b2o$3o9b3o!

[b-engine]

(9,5)c/50 replicator:

Code: Select all

x = 3, y = 3, rule = B3-kqy4cejr5k6in7c/S2-i3-acky4cinqrz5cek6cn
bo$2bo$3o!

[rabbit]

Failed 2-dimensional replicator moving at 88c/25462 diagonal:

Code: Select all

x = 3, y = 3, rule = B2-a3aij/S1c2-ae45ain678
bo$3o$bo!

Some oscillators p4, p88, p96, p888:

Code: Select all

x = 74, y = 22, rule = B2-a3aij/S1c2-ae45ain678
3bobo8bo2bo$bo5bo6b4o$3b3o8b5o$ob5obo5b4o$2b5o8b2o$ob5obo$3b3o26bo5bo$
bo5bo22bo9bo$3bobo26b7o$29bob9obo$31b9o$31b9o$31b9o$31b9o$31b9o$29bob
9obo$32b7o32bo$30bo9bo29b3o$32bo5bo30b5o$68b6o$69b5o$70b4o!

* patterns with even symmetry may explode.

EDIT: I really do not remember adding "Uneven" to the start of the previous sentence. Sorry if that caused confusion.

[NimbleRogue]

Failed 2-dimensional replicator moving at 88c/25462 diagonal:

Code: Select all

x = 3, y = 3, rule = B2-a3aij/S1c2-ae45ain678
bo$3o$bo!

p18346 in a related rule

Code: Select all

x = 17, y = 17, rule = B2-a3aij4c7e/S1c2-ae4-kr5-cej6-k78
7bobo3$4b9o$3b11o$3b11o$3b11o$o2b4o3b4o2bo$3b4o3b4o$o2b4o3b4o2bo$3b11o
$3b11o$3b11o$4b9o3$7bobo!

[b-engine]

Instead of being a true replicator, it behaves more like a wavestretcher:

Code: Select all

x = 3, y = 4, rule = B35cnry78/S2-c3-aky4it6a
o$2o$b2o$2o!

This isn't HighLife rep (and in fact it replicates perpendicular to where HighLife rep replicates toward):

Code: Select all

x = 4, y = 4, rule = B35cekn78/S2-c3-aky4it6a
o$2o$obo$b3o!

[Yoel]

Code: Select all

x = 34, y = 37, rule = B34e5-kqry/S234e
13$17b3o$17b3o$17b3o5$24b3o$24b3o$24b3o!

[Naszvadi]

A list of known small replicators supporting outer-totalistic B0-less life-like or hexagonal rules would be cool!

[LaundryPizza03]

A list of known small replicators supporting outer-totalistic B0-less life-like or hexagonal rules would be cool!

Eppstein's website includes a list of 56 Life-like rules, including 12 without B0, but it omits B1 rules. In addition, there is this one with speed c/2o that is similar to the one in B36/S124, except that it emulates rule 254 instead of rule 90.

Code: Select all

x = 1, y = 4, rule = B356/S1247
o$o$o$o!

[Yoel]

Code: Select all

x = 13, y = 9, rule = B34ceity/S23-a4ceity
$3b3o$3bobo$3bobo$4bo!

[Plasmath]

Anyone know what 1D rule this is simulating? I don't recognize it.

Code: Select all

x = 3, y = 3, rule = B3ai4ekqty5cry6cn7e8/S2-c3-acey4inr5eqy
2o$obo$3o!

Code: Select all

x = 227, y = 196, rule = B3ai4ekqty5cry6cn7e8/S2-c3-acey4inr5eqy
2o$obo$3o4b2o$7bobo$7b3o4b2o$14bobo$14b3o4b2o$2b3o6b3o7bobo$2bobo6bobo
7b3o4b2o$3b2o7b2o4b3o7bobo$8b2o8bobo7b3o4b2o$8bobo8b2o14bobo$8b3o15bo
8b3o4b2o$5b3o17bo16bobo$5bobo34b3o4b2o$6b2o13b3o25bobo$11b2o8bobo7bo
17b3o4b2o$11bobo8b2o6bo6b3o6b3o7bobo$11b3o4b2o17bobo6bobo7b3o4b2o$8b3o
7bobo5b3o9b2o7b2o14bobo$8bobo7b3o5bobo5b2o18bo8b3o4b2o$9b2o16b2o5bobo
16bo16bobo$16bo6b2o9b3o33b3o4b2o$15bo7bobo5b3o15b3o25bobo$23b3o5bobo
15bobo7bo17b3o4b2o$11b3o18b2o16b2o6bo6b3o6b3o7bobo$11bobo7bo6b2o35bobo
6bobo7b3o4b2o$12b2o6bo7bobo35b2o7b2o4b3o7bobo$28b3o40b2o8bobo7b3o4b2o$
25b3o24b3o16bobo8b2o14bobo$25bobo24bobo5b2o9b3o15bo8b3o4b2o$14b3o9b2o
25b2o5bobo25bo16bobo$14bobo5b2o36b3o6bo6b2o27b3o4b2o$15b2o5bobo43bo7bo
bo14b3o6b3o7bobo$22b3o51b3o6bo7bobo6bobo7b3o4b2o$55b3o6b3o17bo9b2o7b2o
4b3o7bobo$55bobo6bobo7bo24b2o8bobo7b3o4b2o$17b3o36b2o7b2o6bo25bobo8b2o
14bobo$17bobo41b2o36b3o15bo8b3o4b2o$18b2o41bobo5b3o24b3o17bo16bobo$23b
2o36b3o5bobo7bo16bobo34b3o4b2o$23bobo32b3o9b2o6bo18b2o13b3o25bobo$23b
3o4b2o26bobo41b2o8bobo7bo17b3o4b2o$20b3o7bobo26b2o41bobo8b2o6bo6b3o6b
3o7bobo$20bobo7b3o4b2o25b2o36b3o4b2o17bobo6bobo7b3o4b2o$21b2o14bobo24b
obo32b3o7bobo5b3o9b2o7b2o14bobo$28bo8b3o4b2o18b3o6bo25bobo7b3o5bobo5b
2o18bo8b3o4b2o$27bo16bobo14b3o8bo27b2o16b2o5bobo16bo16bobo$44b3o4b2o8b
obo43bo6b2o9b3o33b3o4b2o$23b3o25bobo8b2o4b3o35bo7bobo5b3o15b3o25bobo$
23bobo7bo17b3o4b2o8bobo5b2o36b3o5bobo15bobo7bo17b3o4b2o$24b2o6bo6b3o6b
3o7bobo8b2o5bobo23b3o18b2o16b2o6bo6b3o6b3o7bobo$39bobo6bobo7b3o15b3o4b
2o17bobo7bo6b2o35bobo6bobo7b3o4b2o$40b2o7b2o4b3o25bobo17b2o6bo7bobo35b
2o7b2o4b3o7bobo$45b2o8bobo25b3o4b2o27b3o40b2o8bobo7b3o4b2o$26b3o16bobo
8b2o13b3o6b3o7bobo23b3o24b3o16bobo8b2o14bobo$26bobo5b2o9b3o13b2o8bobo
6bobo7b3o4b2o17bobo24bobo5b2o9b3o15bo8b3o4b2o$27b2o5bobo24bobo8b2o7b2o
14bobo17b2o25b2o5bobo25bo16bobo$34b3o6bo6b2o9b3o4b2o18bo8b3o6bo15b2o
27b3o6bo6b2o27b3o4b2o$42bo7bobo15bobo16bo17bo16bobo34bo7bobo14b3o6b3o
7bobo$50b3o6bo8b3o51b3o4b2o36b3o6bo7bobo6bobo7b3o4b2o$29b3o6b3o17bo24b
3o33b3o7bobo14b3o6b3o17bo9b2o7b2o4b3o7bobo$29bobo6bobo7bo34bobo7bo25bo
bo7b3o4b2o8bobo6bobo7bo24b2o8bobo7b3o4b2o$30b2o7b2o6bo15b3o18b2o6bo6b
3o18b2o14bobo8b2o7b2o6bo25bobo8b2o14bobo$35b2o26bobo33bobo5b2o18bo8b3o
4b2o45b3o15bo8b3o4b2o$35bobo5b3o18b2o34b2o5bobo16bo16bobo23b3o15b3o17b
o16bobo$35b3o5bobo7bo15b2o36b3o4b2o27b3o23bobo5b2o8bobo34b3o$32b3o9b2o
6bo16bobo14b3o25bobo14b3o6b3o15b3o9b2o5bobo8b2o13b3o$32bobo34b3o4b2o8b
obo5b2o18b3o6bo7bobo6bobo15bobo5b2o9b3o4b2o17bobo7bo$33b2o31b3o7bobo8b
2o5bobo25bo9b2o7b2o16b2o5bobo5b3o7bobo17b2o6bo6b3o$38b2o26bobo7b3o4b2o
9b3o6bo33b2o27b3o5bobo7b3o32bobo$38bobo26b2o14bobo5b3o8bo6b3o6b3o16bob
o35b2o43b2o$38b3o6bo26bo8b3o5bobo15bobo6bobo5b2o9b3o42bo6b2o$35b3o8bo
26bo18b2o4b3o9b2o7b2o5bobo32b3o17bo7bobo14b3o$35bobo50b2o8bobo5b2o18b
3o6bo6b2o17bobo25b3o4b2o8bobo5b2o$36b2o31b3o16bobo8b2o5bobo25bo7bobo
17b2o13b3o16bobo8b2o5bobo$43bo25bobo7bo8b3o15b3o33b3o4b2o16b2o8bobo7bo
8b3o4b2o9b3o$42bo27b2o6bo6b3o33b3o6b3o16bobo15bobo8b2o6bo16bobo5b3o$
85bobo33bobo6bobo7bo8b3o4b2o9b3o4b2o27b3o5bobo$38b3o45b2o13b3o18b2o7b
2o6bo16bobo15bobo5b3o27b2o$38bobo5b2o43b2o8bobo23b2o27b3o6bo8b3o5bobo
7bo$39b2o5bobo23b3o16bobo8b2o23bobo5b3o26bo18b2o6bo6b3o$46b3o4b2o17bob
o5b2o9b3o4b2o27b3o5bobo7bo33b2o17bobo$53bobo17b2o5bobo15bobo23b3o9b2o
6bo6b3o6b3o16bobo5b3o9b2o$53b3o4b2o18b3o6bo8b3o23bobo24bobo6bobo7bo8b
3o5bobo5b2o$41b3o6b3o7bobo25bo36b2o25b2o7b2o6bo6b3o9b2o5bobo$41bobo6bo
bo7b3o4b2o61b2o25b2o17bobo16b3o$42b2o7b2o4b3o7bobo23b3o34bobo24bobo5b
3o9b2o$47b2o8bobo7b3o6bo16bobo34b3o6bo17b3o5bobo5b2o$47bobo8b2o15bo6b
3o9b2o31b3o8bo15b3o9b2o5bobo14b3o$47b3o15bo16bobo5b2o35bobo24bobo16b3o
14bobo$44b3o17bo18b2o5bobo35b2o25b2o34b2o$44bobo43b3o42bo24b2o16b2o16b
2o$45b2o13b3o71bo25bobo15bobo15bobo$50b2o8bobo7bo89b3o6bo8b3o4b2o9b3o$
50bobo8b2o6bo15b3o42b3o24b3o8bo6b3o7bobo$50b3o4b2o26bobo42bobo5b2o17bo
bo15bobo7b3o6bo$47b3o7bobo5b3o18b2o43b2o5bobo17b2o16b2o15bo$47bobo7b3o
5bobo5b2o16b2o45b3o4b2o18bo17bo$48b2o16b2o5bobo15bobo51bobo16bo17bo$
55bo6b2o9b3o4b2o9b3o4b2o45b3o4b2o$54bo7bobo5b3o7bobo15bobo32b3o6b3o7bo
bo23b3o$62b3o5bobo7b3o6bo8b3o4b2o26bobo6bobo7b3o6bo16bobo7bo$50b3o18b
2o4b3o8bo16bobo26b2o7b2o4b3o8bo18b2o6bo$50bobo7bo6b2o8bobo25b3o4b2o25b
2o8bobo$51b2o6bo7bobo8b2o13b3o6b3o7bobo24bobo8b2o$67b3o15bo7bobo6bobo
7b3o4b2o18b3o15bo$64b3o17bo9b2o7b2o4b3o7bobo14b3o17bo24b3o$64bobo32b2o
8bobo7b3o4b2o8bobo42bobo$53b3o9b2o13b3o16bobo8b2o14bobo8b2o13b3o27b2o$
53bobo5b2o17bobo5b2o9b3o15bo8b3o4b2o17bobo5b2o$54b2o5bobo17b2o5bobo25b
o16bobo17b2o5bobo$61b3o24b3o6bo6b2o27b3o24b3o4b2o$96bo7bobo14b3o6b3o
34bobo$104b3o6bo7bobo6bobo34b3o4b2o$56b3o24b3o6b3o17bo9b2o7b2o22b3o6b
3o7bobo$56bobo24bobo6bobo7bo24b2o26bobo6bobo7b3o$57b2o25b2o7b2o6bo25bo
bo26b2o7b2o4b3o$62b2o25b2o36b3o31b2o8bobo$62bobo24bobo5b3o24b3o34bobo
8b2o$62b3o4b2o18b3o5bobo7bo16bobo34b3o$59b3o7bobo14b3o9b2o6bo18b2o31b
3o$59bobo7b3o4b2o8bobo41b2o26bobo$60b2o14bobo8b2o41bobo26b2o$67bo8b3o
4b2o45b3o4b2o25b2o$66bo16bobo14b3o24b3o7bobo24bobo$83b3o14bobo5b2o17bo
bo7b3o4b2o18b3o$62b3o36b2o5bobo17b2o14bobo14b3o$62bobo7bo35b3o4b2o18bo
8b3o4b2o8bobo$63b2o6bo6b3o34bobo16bo16bobo8b2o$78bobo34b3o4b2o27b3o4b
2o$79b2o22b3o6b3o7bobo14b3o6b3o7bobo$84b2o17bobo6bobo7b3o6bo7bobo6bobo
7b3o$65b3o16bobo17b2o7b2o4b3o8bo9b2o7b2o4b3o$65bobo5b2o9b3o4b2o16b2o8b
obo23b2o8bobo$66b2o5bobo15bobo15bobo8b2o23bobo8b2o$73b3o6bo8b3o4b2o9b
3o15bo17b3o$81bo16bobo25bo15b3o$98b3o6bo6b2o26bobo$68b3o6b3o26bo7bobo
26b2o$68bobo6bobo7bo26b3o6bo24b2o$69b2o7b2o6bo6b3o6b3o17bo25bobo$74b2o
17bobo6bobo7bo35b3o$74bobo5b3o9b2o7b2o6bo33b3o$74b3o5bobo5b2o53bobo$
71b3o9b2o5bobo23b3o27b2o$71bobo16b3o23bobo5b2o$72b2o31b3o9b2o5bobo$77b
2o16b2o8bobo5b2o9b3o4b2o$77bobo15bobo8b2o5bobo5b3o7bobo$77b3o6bo8b3o4b
2o9b3o5bobo7b3o4b2o$74b3o8bo6b3o7bobo5b3o9b2o14bobo$74bobo15bobo7b3o5b
obo16bo8b3o$75b2o16b2o16b2o15bo$82bo17bo6b2o$81bo17bo7bobo14b3o$107b3o
14bobo7bo$77b3o15b3o27b2o6bo$77bobo5b2o8bobo7bo6b2o$78b2o5bobo8b2o6bo
7bobo$85b3o4b2o18b3o4b2o$92bobo5b3o16bobo$92b3o5bobo7bo8b3o6bo$80b3o6b
3o9b2o6bo17bo$80bobo6bobo$81b2o7b2o22b3o6b3o$86b2o26bobo6bobo$86bobo
14b3o9b2o7b2o$86b3o14bobo5b2o$83b3o18b2o5bobo$83bobo25b3o$84b2o$89b2o$
89bobo14b3o$89b3o4b2o8bobo$86b3o7bobo8b2o$86bobo7b3o4b2o$87b2o14bobo$
94bo8b3o$93bo$108b2o$89b3o16bobo$89bobo7bo8b3o$90b2o6bo6b3o$105bobo$
106b2o2$92b3o$92bobo5b2o$93b2o5bobo$100b3o3$95b3o$95bobo$96b2o!

EDIT:
In a nearby rule there's this cool replicator. In one direction, it acts like a standard replicator but in the other it's chaotic like the previous one.

Code: Select all

x = 3, y = 3, rule = B3ai4cekqty5cer6ckn/S2-c3-ace4einr5eqy8
2o$obo$3o!

EDIT 2:
An even more elaborate replicator-like object:

Code: Select all

x = 3, y = 3, rule = B2k3ai4aekq5cr6en/S2-ci3ijkn4eiknry5qry
2o$obo$3o!

[hotcrystal0]

This one is interesting. The copy of itself it makes is off-phase, and when they collide, they will either annihilate or form a HWSS, which is used to build a siperinski triangle.

Code: Select all

 x = 7, y = 5, rule = B3-cek4-iqry5jr6n8/S2-a3-ky4cky
2b2o$b4o$2ob3o$b2o3bo$5bo!

Surprise, surprise. The rule has another replicator, this time a clean one. It forms when what would be a traffic light predecessor is sparked in a certain way:

Code: Select all

x = 7, y = 5, rule = B3-cek4-iqry5jr6n8/S2-a3-ky4cky
b3o2bo$o3bo$o3bo$o3bo$b3o!