Rules With Quadratic (2D) Replicators

[Naszvadi]

For sake of brevity, rules with B0 or B1 will not be included

Hmm. It should be more precise. B1 wouldn't be included withOUT B0. And I suggest dropping a strict subset of B0 rules, of course.

[_zM]

For sake of brevity, rules with B0 or B1 will not be included

Hmm. It should be more precise. B1 wouldn't be included withOUT B0. And I suggest dropping a strict subset of B0 rules, of course.

Rules with B0, without S8 and either no B1 and S7;
no B1 and S6; or B1, no B2 and S7; rules with B0, S8 and without S7; or rules without B0, but with B1.

[Saka]

Code: Select all

x = 3, y = 1, rule = B2a4i/S1e
3o!

[Saka]

WOAH

Code: Select all

x = 3, y = 1, rule = B2i34w5eq7/S1e2ikn34ci
3o!

[Saka]

Code: Select all

x = 4, y = 5, rule = B2e3/S123-a
3o2$o2bo2$3o!

[muzik]

I really need to update this list huh.

[muzik]

hey look I did it, are you proud of me?


We're up to 2 knight quadratic replicators now, the newest one courtesy of drc on the Accidental Non-CGOL Discoveries thread. Keep em coming.

[drc]

25c/114d replicator that leaves behind an insufferable amount of debris:

Code: Select all

x = 3, y = 5, rule = B2ce3ai/S23-n4
b2o$b2o$2bo$3o$2o!

[muzik]

Could that rule be tamed to provide a cleanplicator, by some strange contortion of the laws of mathematics?

[Bullet51]

P17:

Code: Select all

x = 11, y = 11, rule = B2ci3ceaijk4rikt5akr6n_S1e23i5a
3o$obo$3o6$8b3o$8bobo$8b3o!

[Saka]

Code: Select all

x = 4, y = 12, rule = B3ai4/S2-k3-a46n78
b2o$4o$o2bo$o2bo$4o$b2o$b2o$4o$o2bo$o2bo$4o$b2o!

[_zM]

Code: Select all

x = 3, y = 3, rule = B34k/S1e2-a3
3o$2bo$2bo!

Looks like there's a whole class of these (look at the fuse one, there is another that was already found with similar dynamics, etc.)

[_zM]

Suspicion confirmed:

Code: Select all

x = 3, y = 3, rule = B3ai/S1e2eik3ir
o$o$3o!

All of those replicators are in supersets of this rule.

[*]B3-c/S123i4a
[*]B34ce/S12-a3
[*]B34k/S1e2-a3

The fuse one is too, but not listed. (I have some more-or-less good reasons.)

[drc]

72c/450 diagonal (4/25), I like this rulespace:

Code: Select all

x = 3, y = 5, rule = B3-e4w/S234nq5e
2o$obo$2bo$obo$2o!

[Bullet51]

Code: Select all

x = 3, y = 7, rule = B3678_S2c3467
bo$3o$obo$obo$obo$3o$bo!

[toroidalet]

here's a cool shaky one:

Code: Select all

x = 4, y = 4, rule = B34eit5enry6ci8/S2-i36c
3o$o2bo$o2bo$b3o!

[toroidalet]

bump
This one:

Code: Select all

x = 3, y = 5, rule = B3-enry/S23-a4-ajw
2bo$b2o$2o$b2o$2bo!

Supports a cool interaction with another:

Code: Select all

x = 12, y = 9, rule = B3-enry/S23-a4-ajw
11bo$10b2o$9b2o$10b2o$2bo8bo$b3o$bobo$2o2bo$obo3bo!

[toroidalet]

bump again
Class-S replicator:

Code: Select all

x = 4, y = 2, rule = B2n3-n4n/S23-a4-ikry
4o$o2bo!

Code: Select all

x = 22, y = 8, rule = B2n3-n4n/S23-a4-ikry
b4o12b4o$bo2bo12bo2bo2$o6bo6bo6bo$o6bo6bo6bo2$bo2bo$b4o!