Rules With Quadratic (2D) Replicators

[muzik]

I knew it

[FlameandFury]

Another failed one with cool ships:

Code: Select all

x = 7, y = 5, rule = B3/S123ceik
$3bo$3bo$3bo!

Code: Select all

x = 81, y = 95, rule = B3/S123ceik
4$46b2o9b2o16$46b2o9b2o9$72bo3bo4$71bobobobo$21bobo47bobobobo$72bo3bo$
21b3o22b2o9b2o13bo3bo2$73b3o8$46b2o9b2o4$49b2o3b2o3$47bobo5bobo$47bobo
5bobo$48bo7bo$47b2o7b2o$48b2o5b2o5$46b2o9b2o4$49b2o3b2o2$49b2o3b2o9$
50b2ob2o$50bo3bo$51b3o$50bo3bo$50bobobo$52bo4$49bo5bo$50bo3bo$51b3o$
51b3o$52bo!

EDIT: Wait, isn't that a 11/22c ship?!

[_zM]

3c/16 diagonal, clean.

Code: Select all

x = 3, y = 2, rule = B3-jny/S1c23
bo$3o!

Add mess inside and it creates more:

Code: Select all

x = 49, y = 45, rule = B3-jny/S1c23
bo45bo$2o45b2o$bo45bo4$bo45bo$2o45b2o$bo45bo4$bo45bo$2o45b2o$bo45bo4$b
o10bo34bo$2o9bo35b2o$bo45bo4$bo45bo$2o45b2o$bo45bo4$bo45bo$2o45b2o$bo
45bo4$bo45bo$2o45b2o$bo45bo4$bo45bo$2o45b2o$bo45bo!

[gameoflifeboy]

It can be stabilized into a puffer:

Code: Select all

x = 13, y = 14, rule = B3-jny/S1c23
2bo$bobo$7b2o$o3bobo2bo2$bobo7bo$2bo9bo$5bo$4bo$4bo$5bo2$7bo$8bo!

[BlinkerSpawn]

Breeder:

Code: Select all

x = 24, y = 29, rule = B3/S123ceik
3bo5bo$2bobo3bobo$5bobo$2o2bo3bo2b2o$o11bo$o11bo$bobo5bobo2$15b2obobob
2o$4b2ob2o6b2obobob2o$15bo2bobo2bo$4bo3bo7bobobobo$4bo3bo8bo3bo$18b3o$
4bo3bo9b3o$19bo$4b2ob2o$5b3o$5b3o$6bo$5b3o$4bobobo$6bo2$3bo5bo$4bo3bo$
5b3o$5b3o$6bo!

[toroidalet]

B34tw5y/S23 (diagonal)

Code: Select all

x = 3, y = 2, rule = B34tw5y_S23
bo$3o!

NOTE: actually orthogonal

B34w/S23 (diagonal)

Code: Select all

x = 3, y = 3, rule = B34w_S23
bo$3o$3o!

NOTE: actually orthogonal

B34i5y/S23 (diagonal)

Code: Select all

x = 3, y = 4, rule = B34i5y_S23
bo$b2o$obo$bo!

NOTE: actually oblique
here are some others
B2a/S3a4a, orthogonal, true

Code: Select all

x = 2, y = 2, rule = B2a/S3a4a
2o$2o!

If you add S2n you get a special surprise.
B34z/S23, orthogonal, failed

Code: Select all

x = 3, y = 3, rule = B34z/S23
obo$obo$3o!

Can be made into a failed 1d replicator
B34k5y/S234n7e, diagonal, failed

Code: Select all

x = 12, y = 11, rule = B34k5y/S234n7e
2o8b2o$2o8b2o$2o8b2o$2o8b2o$2o8b2o2$2o8b2o$2o8b2o$2o8b2o$2o8b2o$2o8b2o
!

B34nt5r6i/S23, strange, failed

Code: Select all

x = 4, y = 3, rule = B34nt5r6i/S23
2bo$b3o$2obo!

B3/S12-ae34ceit, orthogonal, failed

Code: Select all

x = 3, y = 1, rule = B3/S12-ae34ceit
3o!

[ygh]

Failed 5-cell replicator that becomes a p576 oscillator.

Code: Select all

x = 0, y = 0, rule = B3_S2-i3-a4cake
b2o$2o$bo!

Life, but
AXX
A X
AAA (where A is Alive and X doesn't matter)
is born.

Code: Select all

x = 3, y = 3, rule = B35a6ae78/S23
b2o$2o$bo!

[FlameandFury]

Really simple one:

Code: Select all

x = 2, y = 2, rule = B2a/S1
2o$2o!

[PHPBB12345]

Really simple one:

Code: Select all

x = 2, y = 2, rule = B2a/S1
2o$2o!

this is failure replicator.

[BlinkerSpawn]

Really simple one:

Code: Select all

x = 2, y = 2, rule = B2a/S1
2o$2o!

this is failure replicator.

Just add S2k.

Code: Select all

x = 2, y = 2, rule = B2a/S12k
2o$2o!

[toroidalet]

B3/S234w, oblique, failed

Code: Select all

x = 4, y = 3, rule = B3/S234w
b3o$o2bo$3o!

[muzik]

I wish there was a successful oblique one...

[toroidalet]

B3578/S23-c, orthogonal, true

Code: Select all

x = 9, y = 3, rule = B3578/S23-c
2o5b2o$2o5b2o$2o5b2o!

EDIT: B2ce-3ai/S01, orthogonal, true

Code: Select all

x = 4, y = 4, rule = B2ce3-ai/S01
bobo$o2$o!

EDIT2: B3/S237e, oblique, failed

Code: Select all

x = 3, y = 3, rule = B3/S237e
3o$obo$obo!

[Bullet51]

B34ej5y6n_S23, P63, diagonal:

Code: Select all

x = 5, y = 3, rule = B34ej5y6n_S23
2bo$b3o$2o2bo!

[muzik]

OH MY GOD IT'S AN OBLIQUE ONE OMFGGGGGGGG

[drc]

OH MY GOD IT'S AN OBLIQUE ONE OMFGGGGGGGG

Cool your jets please.

[Gamedziner]

B34ej5y6n_S23, P63, diagonal:

Code: Select all

x = 5, y = 3, rule = B34ej5y6n_S23
2bo$b3o$2o2bo!

I think this is the first known oblique replicator. Congratulations!

[muzik]

OH MY GOD IT'S AN OBLIQUE ONE OMFGGGGGGGG

Cool your jets please.

Pleeeeeeease. Try doing that when we find a 40-cell knightship in B3/S23

[BlinkerSpawn]

B34ej5y6n_S23, P63, diagonal:

Code: Select all

x = 5, y = 3, rule = B34ej5y6n_S23
2bo$b3o$2o2bo!

I think this is the first known oblique replicator. Congratulations!

First known in 2-state isotropic rules w/o B0 anyway.

[muzik]

But is it the first oblique quadratic replicator?

There are, of course, oblique linears:

Code: Select all

x = 2, y = 3, rule = B02346/S023
o2$bo!

[AbhpzTa]

B3-c/S236c7c, p48, orthogonal:

Code: Select all

x = 5, y = 5, rule = B3-c/S236c7c
2bo$bobo$o3bo$o3bo$2ob2o!

[FlameandFury]

If you thought my previous replicator was weird, take a look at this:

Code: Select all

x = 121, y = 81, rule = B2ein3aei/S2-c3-c4-aew
11$99bo4b3o$92b3ob2ob2o2bo3bo$92bobobo2bo3b2ob2o$49bo5bo33b2o3bob2ob2o
5bo$48b2obo2b3o11b3o17bobob2o3bo8bobo$47b2o5bob2o10b5o15b4ob2o2bo7bo2b
o$48b2o4bobo11b2ob2o6bo10b3o3b2o7bo2bo$54bob2o19b3o7bobobobo11b3o$54b
2o2b2ob2o14bo10b3ob2o4b2o$51bobo4b2ob2o13b2ob2o23b2o$48b2ob3o14bo10bo
2bob2o2b2o2b2o4b4o2b2o$10b2obob2o5b3o17bo6bo2bobo3b3obo4b3ob2o5b2ob2ob
2o2bob2obob2obo2bo$9bob6ob3obo2bo14b4o5b2o4b2obo2b2o8bo6b2obo4b2o2b2o
3b2o7b2o$9b2ob2o8bob2o17b2o3b4o3bo4bo7bob2o9bo4b2o9b2ob2o2b2o$11bo3b3o
3b2o19b2o8b2ob3obo3b2ob2o13b2o7b2o3b2obob2o$15bo6bo19b3o7b2obo3b2o3bob
2o8b2o12b2ob2o$12bo29b2o11b3ob2o2b2o11b2o16bo3b4o$9b2ob3o8bo19b2o7b2ob
o2bo5bob2o15b2o8b2ob2obobo$10bo10b3o12bo2b5o8b2o2b2o5b2ob2o15b2o9bob2o
$9b2o2b2o9b2o11b2o3bo13b2obobo12b2o5b2o10b2o$9b2o7b2o2bob2o11b2o20b3o
12b2o5b2obobo7bob2o$13b2o5b3o11b2o20b2o26b3o5b2o2b2o$13b2o2b3o3b3obo5b
o3b2o4b2ob2o2bo5b2o2b2o17bob3o8b2o$17bo2b2obo2b2o6b2ob2o5bob2o2b2o8b2o
2b2o10b2ob2o2bob2o$13b4o3bo4bo25b2o12bob2ob2o4b2o3bo4bo3b4o$13bobob2ob
2o2bo20bo13b3o3bob2obo2b2o7bo2b2ob2obobo$17b2obob3o10b2o4b5o13bobo2b2o
4bo2b2o7b3obob2o$20b2o13b2o4b2o8bo5b3o5bobo3bo13b2o$17b2obo3b2ob2o12b
2o14bo6b2ob6o5b2ob2o3bob2o$17b2o2b2ob2ob2o14b2ob2ob2o5b2ob2o17b2ob2ob
2o2b2o$21b2o6bo3b2o8b2o2bobo9bo2bob2o2b2o2b2o3bo6b2o$30b2obob2o10bobo
9bob2ob2o2bob2obob2o$21b2o7b2o3b2o8bobo2b2o6b2obo4b2o2b2o3b2o7b2o$21b
2o2b2ob2o15b3o2bo8bobo4b2o9b2ob2o2b2o$25b2obob2o3b2ob2ob2o6b2o8bob2o7b
2o3b2obob2o$32b2ob2ob2o2bo3b2o10b2o10b2ob2o$25b4o3b2o7b2obo2bob2o5b2o
16bo3b4o$25bobob2o10bo2b4ob2o5b2o5b2o8b2ob2obobo$30bo9b2o3bo5b2o10b2o
9bob2o$30b2o2b2o2b2o3bobobobob2o8b2o10b2o$34bo4bo3b7o11b2obobo7bob2o$
31b2ob2o2bob2o8b3o11b3o5b2o2b2o$31b2o3b3o2bobob2ob2o2bo9b2o8b2o$36bo4b
3obo2b2o12b2ob2o$35b2obo6b2o19bo3b4o$36b3o2b2o19bo2b2ob2obobo$34bo6bo
20b3obob2o$34b5o4b2o6bobo11b2o$38bobo3bobo4b3o4b2ob2o3bob2o$35b2o3b3ob
7o7b2ob2ob2o2b2o$35b2o5bo9b2o3bo6b2o$42b3o2b2ob2obob2o$44bo2b2ob2o3b2o
7b2o$57b2ob2o2b2o$50b2o3b2obob2o$50b2ob2o$54bo3b4o$53b2ob2obobo$54bob
2o$53b2o$54bob2o!

[toroidalet]

p10, orthogonal, true:

Code: Select all

x = 3, y = 3, rule = B3-jq/S234i
2o$o$3o!

[PHPBB12345]

p10, orthogonal, true:

Code: Select all

x = 3, y = 3, rule = B3-jq/S234i
2o$o$3o!

Which is "B3-jq/S234i" rule's catalyst?

[BlinkerSpawn]

p10, orthogonal, true...

Which is "B3-jq/S234i" rule's catalyst?

By "catalyst" I assume you mean some pattern than can cap off a replicator, like so?

Code: Select all

x = 26, y = 26, rule = B3-jq/S234i
14b2o$15bo$7b3o2b3o$12bo4$23bo$23bo$23bo$2o7b3o$obo6bobo$2bo6bo12b2o$
2b2o19bo$5b3o15bobo$5bo18b2o$2bo2b2o$2bo$2bo4$13bo$11b3o2b3o$10bo$10b
2o!