Rules with interesting replicators

[wwei47]

By sylvie: A quadratic replicator with edge rule=core rule=range 3/2 W4124:

Code: Select all

x = 3, y = 1, rule = B2-ek4c/S
obo!

Adding B5k yields some wicks upon certain annihilations.

Code: Select all

x = 3, y = 1, rule = B2-ek4c5k/S
obo!

[Sylvani]

Anyone know what this is emulating?

Code: Select all

x = 1, y = 1, rule = MAPl5cWFpeXFhZ/f2hof39oaH9/aGh/f2ho/v6AgP7+gIB/f2hof39oaP7+gID+/oCA/v6AgP7+gIDo6AAA6OgAAA
o!

[b-engine]

Anyone know what this is emulating?

Range 3/2 W4124.

Seriously, we need to name W4124 now.

[yyh_baboon]

What is this semi-replicator emulating?

Code: Select all

x = 4, y = 3, rule = B3-kn4ce6ik/S2-i34i5r
3o$o2bo$ob2o!
[[ THEME INVERSE ]]

(Don't tell me this is also W4124)

[silversmith]

What is this semi-replicator emulating?

I believe its W5192296859743753448426600480702704 aka W(2^4 + 2^5+2^6+2^7+2^16+2^48+2^80+ 2^112) aka W18 except range 3. A cell is born iff the current cell is dead, the cell to the left or right is on, and the other side is empty.

[wwei47]

4c/12d pascal mod 3 replicator by sylvie:

Code: Select all

x = 3, y = 3, rule = MAPASQptCSBtMAWSJRASBBAACSBtMCBBMAASBBAABBAAAACCQMtCRYtlCiQPNCQYNBACRYtlBZIlECQYNBAYIBAAA
2bo$bo$o!

EDIT:

What is this semi-replicator emulating?

I believe its W5192296859743753448426600480702704 aka W(2^4 + 2^5+2^6+2^7+2^16+2^48+2^80+ 2^112) aka W18 except range 3. A cell is born iff the current cell is dead, the cell to the left or right is on, and the other side is empty.

Disagree; I graphed out replication until cycle 26 and it is a perfect match with W4124 r=3/2.

Code: Select all

x = 53, y = 27, rule = B/S012345678Super
26.A$25.A.A$24.A3.A$23.A5.A$22.A.A3.A.A$21.A9.A$20.A.A7.A.A$19.A3.A5.
A3.A$18.A5.A3.A5.A$17.A.A3.A5.A3.A.A$16.A7.A3.A7.A$15.A.A5.A5.A5.A.A$
14.A3.A3.A.A3.A.A3.A3.A$13.A25.A$12.A.A23.A.A$11.A3.A21.A3.A$10.A5.A19.
A5.A$9.A.A3.A.A17.A.A3.A.A$8.A9.A15.A9.A$7.A.A7.A.A13.A.A7.A.A$6.A3.A
5.A3.A11.A3.A5.A3.A$5.A5.A3.A5.A9.A5.A3.A5.A$4.A.A3.A5.A3.A.A7.A.A3.A
5.A3.A.A$3.A7.A3.A7.A5.A7.A3.A7.A$2.A.A5.A5.A5.A.A3.A.A5.A5.A5.A.A$.A
3.A3.A.A3.A.A3.A9.A3.A.A3.A.A3.A3.A$A21.A7.A21.A!

[silversmith]

I believe its W5192296859743753448426600480702704 aka W(2^4 + 2^5+2^6+2^7+2^16+2^48+2^80+ 2^112) aka W18 except range 3. A cell is born iff the current cell is dead, the cell to the left or right is on, and the other side is empty.

Disagree; I graphed out replication until cycle 26 and it is a perfect match with W4124 r=3/2.

Ah, I think I see what I missed. The rule I described is effectively the same as W4124, except I wasn't familiar with how range 3/2 rules worked, so I found a range 3 rule that emulates W4124, and produces the same graph.

[wwei47]

Ah, I think I see what I missed. The rule I described is effectively the same as W4124, except I wasn't familiar with how range 3/2 rules worked, so I found a range 3 rule that emulates W4124, and produces the same graph.

Funnily enough, the wiki page does just that too.
Anyways, yet another W4214 r=3/2 replicator by sylvie. I believe that it's c/4 according to Caterer's gif, but I can't check more closely in LifeViewer.

Code: Select all

x = 1, y = 1, rule = R1,C0,S2,B0,2-4,NW111000111
o!

EDIT: 2c/4 glide-reflecting wave-producing 2D replicator by sylvie:

Code: Select all

x = 5, y = 5, rule = B2e3aij4ai/S123j4r5n
2b3o$bo2bo$o3bo$o2bo$3o!

Edit 2: 6c/44d glide-symmetric "not so dirty" quadratic replicator that seems to create lots of tubs and small quantities of other debris, while not turning into a chaotic mess the way that most dirty replicators do. (hence the "not so dirty" designation)

Code: Select all

x = 5, y = 3, rule = B3-k4rw8/S23-r8
o3bo$2ob2o$o3bo!

[B468S02357]

This puffer breeds itself and the only thing stopping it from expanding spiralwise is collisions with the debris

Code: Select all

x = 125, y = 117, rule = B34qz/S23
116bo$115b3o$115b3o$51bo59bo9bo$50b3o57b3o3bo3b3o$49b2ob2o23bo31bob2o
3bo3b2obo$46bo3b3o23bobo29b2ob2o3bo3b2ob2o$47bo3bo3bobo16bo3bo30b4o7b
4o$43bo3bo7bo2bo6b3o5bo5b2o33bo3bo$42bo4bo7bo2bo5b3o5b2o5b2o30b2o7b2o
$44b2ob3o6b2o5bo4b2o3bo3bo20bo13bo7bo$43b2o6bo11b2obobo2b2o2b3o2b3o14b
obo$44b2o2b2ob2o10bo4bo7b2o2b3o14bobo13bo$44bo3bo12b3obo3bo6b3o3bo15b
o14bo$46bo18bo3bo8bo9b2o23bo$56b2o18b3ob2o6b2o31b3o$55bo2bo5bo5bo7b2o
2bo30bo$67bo10b2o17bo15bo$53bo2bo6bo3b2obo4b2o4bob2o11bob2o13bo$52b2o
2bo10b2o5bo6bobob2o8bo2b3o$64bo3bo5bo5bo2bo12b2o3b2o16b2o$55bobo8b2o6b
2o3bo4b3o9b2o18b6o$35b2o38bobobo17bo6bo5b2o5bo$35b2o14b6o17bo4b3o15bo
bo3b2o4bo3b2obobob4o$52b5o17bo4b3o21bo4bo4b2obo3b2ob2o$69bobo25bo2bo7b
o2b2ob2o4b2obo$42b2o28bo24b2o2bo6bo9bob3o$41bobo4bo23bo2b2o20b2o2bo7b
2o10bo$43bo3bobo22bobo3bo19b2ob2o12bo3bo$40bo6bobo25bo3bo18b2ob2o13b3o
$39bo8bo21bo3b3o23bo$42bo27bo3bo2b3o$39bo4bo$41b2obo23b2o4bo$45bo21bo
4bo3bo$43b2o23b4o33b2o$43b2o26b2ob3o28b2o$67b3ob2o$67b2ob2obo17bo$69b
2ob3o16bo$69b2o20bo17b2o$59b2o48b2o$58bo2bo$58bobo$59bo2$94b2o$94b2o2$
80bo$80bo$33b2o44bobo16b2o$33b2o44bobo16b2o$53bo24bo3bo$38b2o12bobo23b
obobo$39bo12bobo10bo12b2ob2o$36bo10bo5bo10bobo9b2o5b2o$36b2o8bobo9bo5b
obo7bo2bo2bo2bo2bo$43b3o11bobo5bo8bobo2bobo2bobo3bo$39bo6b3o7b2ob2o13b
o2bo2bo2bo2bo3bo$38b2o6b2o10bo17b2o5b2o5bo$38bobobo3bo4b2o25b2ob2o$41b
o5bo4bo25bobobo3b3o3b3o$7bo27bo6b2o2bo6bo$7bo15bo10b3o6b5o31b3o8bo$7b
o14b3o8bobobo9b2o27bo13bo$25bo6b3ob3o8b2o26bobo12bo$16bo16bobobo41b2o
$13b4o6bo2b2o6b3o38bo3b2ob3o$15b3o2bo5b2o7bo39b3o5b2o$16b2ob2o4b3o11b
3o32b2o4bo$16b3o20bobo34b2o$18bo5b3o12b3o34bo$23bo2bo11bobo31bo4b3o$2o
13b2o6bob2o10b2o34b3ob3o$2o13b2o7bo10b2o2b2o$35bo4b2o$35b3o3b2o$2b2o5b
o30bob2o$bo2bo3bobo9bo3bo15b3o5b3o$bobo7bo9b2obo16bo6bo3bo$2bo12b2ob2o
bo2bo23b3ob2o6b3o$8b3o5b6o30b2o$7bobo7b4o30b2o$7b2o43b2o$53bo$30bo5bo
$29bobo3bobo$30bo4bo2bo$36b2o2$62b2o$25bo36b2o$24b3o$23bo2b2o$23bob2o
$25b2ob2o$22bo5bo$7b2o14bo4bo2b2o$7b2o4b2o9bo2bo3b2o6bo$13b2o11bo12bo
$39bo2$35b3o3b3o$30b2o$30b2o10$37b2o$36bo2bo!

[WhiteHawk]

RETRACT POST

[B468S02357]

This puffer breeds itself and the only thing stopping it from expanding spiralwise is collisions with the debris

Code: Select all

This is a failed replicator, so not sure if this belongs here

It's still interesting and it didn't say they can't have broken debris

[NimbleRogue]

This is a failed replicator, so not sure if this belongs here

I don't see why not, there are tons of failed or partial replication reactions here, in addition to clean ones.

Sylvie found an interesting failedrep rulespace

Code: Select all

x = 3, y = 3, rule = B3ai4jnqw5r6e/S2-in3eijr4aiz
bo$b2o$2o!

Here is a (18,6)c/254 SMOFRMOFR based on it (Spaceship made of failed replicators that are made of failed replicators)

Code: Select all

x = 11, y = 9, rule = B3ai4ijknqwy5knr6ekn/S2-in3-acnq4aei5ik6-ai7e
7b2o$6bobo$6b3o2$10bo2$o$obo$3o!

There are some decently high period ships in the space. The highest known is this 22c/15800o

Code: Select all

x = 13, y = 5, rule = B3aei4jknqtwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
9b3o$3bo5bo2bo$ob2o8bo$3o6bobo$bo!

I already did some searches based of off this rule before, but when coming back to it recently I realized that by being more specific with the pattern you use you can increase the rulespace from 2^37 to 2^47

Here are some interesting ships from the search

2 diagonal ships that look like they should be orthogonal
16c/1148d

Code: Select all

x = 33, y = 38, rule = B3air4ektz5cny6ci8/S2-ci3-aek4it5ajnr7
30bo$29b3o$28b2o$32bo$30b3o2$24bo$23b2o$22b2o$23b2o24$2bo$b3o$2obo$bo
2bo$3b2o!

7c/784d

Code: Select all

x = 6, y = 12, rule = B3aikr4ikt5ny6ci/S2-ci3ijnqr4ity5acejn6in7e
bo$3o$ob2o6$3b3o$2bo2bo$2bo2bo$2b3o!

Here is a oblique based off of the last diagonal that also looks like it should be orthogonal

Code: Select all

x = 11, y = 25, rule = B3aikr4cikt5ny6ci/S2-ci3ijnqr4iqty5n6kn7e
5b2o$5bobo$7bo$8b2o$10bo$9b2o17$ob2o$3o$bo!

The 12c/544o in this rule is weird, it looks like it is made of a inner spaceship bouncing between to oscillators, but that is just the engine

Code: Select all

x = 73, y = 23, rule = B3aikr4ez5en6c/S2-ci3-aek4iy5ir
15bo$14b3o$14bo$13b2o$13bo$10b2obo2bo3bo$9bob2o7b2o$16bob3o$16b2obo2$
6b2ob2o$3o2bobo3bo57b3o$obo2b2obo59bo2bo$9bo58bo3bo$70b3o$bo69bo$b3o2$
7bo$6b3o$5b2o3b2o$6b2o3bo$10b2o!

[b-engine]

P148 oscillator:

Code: Select all

x = 3, y = 3, rule = B3ai4jnqw5r6e/S2-in3eijr4aiz5k
bo$b2o$2o!

EDIT: this oscillator is rulegolfed from the rule in the post above.

[yyh_baboon]

My favorite 20c/1844: (It is also a failed-rep ship, current 5S recordholder)

Code: Select all

x = 8, y = 13, rule = B3-n4c5c6c78/S2-n3-k4i6e8
6b2o$5b2o$6b2o$7bo8$2o$2o!
[[ THEME INVERSE ]]

[Sylvani]

Weird rectangular dirty quadratic replicator

Code: Select all

x = 1, y = 4, rule = B2in3-jnq4cqwyz5-aijr6ace78/S1e2-kn3ceqry4-ceijq5cijnr6-ci
o$o$o$o!

[B468S02357]

Slightly off-topic, but can anyone find a replcator rake that rakes itself?

[b-engine]

Failed replicator, the only offsprings are oscillators:

Code: Select all

x = 3, y = 3, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
b2o$2o$bo!

Despite being failed, it can still cause explosions:

Code: Select all

#R B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
!
[[ RANDOMIZE ]]

3c/152:

Code: Select all

x = 3, y = 27, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
bo$2o$b2o22$b2o$2o$bo!

P4388 oscillator:

Code: Select all

x = 3, y = 31, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
bo$2o$b2o26$b2o$2o$bo!

Puffer:

Code: Select all

x = 3, y = 60, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
bo$2o$b2o55$b2o$2o$bo!

EDIT:
Accidental 12c/167 when rulegolfing:

Code: Select all

x = 3, y = 3, rule = B3aei4jknqwy5k6-ac/S2-in3eijkr4aciky5i6ikn7c8
b2o$2o$bo!

EDIT 2:
Most oscillators in the first rule are based on this engine (shown stabilized by a T here):

Code: Select all

x = 23, y = 12, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
3b2o$4b2o$4bo$bo5b3o$3o6bo$ob2o4b2o$3bo3$21bo$21b2o$21bo!

[Naszvadi]

Failed replicator, the only offsprings are oscillators:
pattern

...

There is hope to corderize this engine as a replicator:

Code: Select all

x = 58, y = 30, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
20bo$12b3o3bobo$11bo2bo$11bo$11b3o3bo$16b2o$15b2o$16b2o4$7bo$5bobo$4b
3o$5b3o$2obo2b3o29bo$o6bo28bobo$o2bo2b2o27b3o$b2o4b2o27b2o$8bo22b2obo
2bo2b2o$31bo6bo2bo$31bo2bo15b2o$26b2o4b2o4bob2o7bobo$25bobo21bo$25bo
21bob3o2bo$25b2o18bobo4bo2bo$30b2o12b3o4bo$28bo2bo13b2o4bo$28b3o15bo4b
3o3bo$57bo!

[yyh_baboon]

A normal quadratic replicator:

Code: Select all

 x = 4, y = 3, rule = B2n3-n6n/S2-in3-c4i7e
3o$o2bo$ob2o!
[[ THEME INVERSE ]]

[WhiteHawk]

3c/152:

Code: Select all

3c/248 too

Code: Select all

x = 26, y = 3, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
2o22b2o$b2o20b2o$bo22bo!

3c/200 (simplified 6c/400)

Code: Select all

x = 27, y = 3, rule = B3aei4jknqwy5k6ein/S2-in3eijkr4aciky5i6ikn7c8
2o23b2o$b2o21b2o$bo23bo!

[silversmith]

A very chaotic and delicate replicator

Code: Select all

x = 179, y = 9, rule = B2-an3acejk4ajkz5iy6eik/S1c2-ae3eknr4ejkrt5cr7c
179o$o3bo169bo3bo$o3bo169bo3bo$o3bo24bo144bo3bo$o3b171o3bo$o3bo169bo3b
o$o3bo169bo3bo$o3bo169bo3bo$179o!

Edit:

I know I already created an entire thread about this topic, but in a 2-state rule, can arbitrarily slow replicators exist in a single rule, as part of an arbitrarily adjustable family (much like the many known families of adjustable spaceships)?

Almost, this one turns into a puffer.

Code: Select all

x = 172, y = 4, rule = B2-an3acejk4ai6cek7c8/S12-ae3er4ejnt5cr6ci
152b20o$20o133bo$18bo127b6o$20b6o!