Rules With Quadratic (2D) Replicators

[muzik]

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

Decided to split them up since the failed ones were taking up some space. You can find them here: viewtopic.php?f=11&t=2409

Square replicators: (look like a square)

B3/S23-ac4eiy6

Code: Select all

x = 5, y = 5, rule = B3/S23-ac4eiy6
2bo$b3o$2ob2o$bobo$2bo!

B3-jny/S1c23

Code: Select all

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

B35a6ae78/S23

Code: Select all

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

B3578/S23-c

Code: Select all

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

B3-c/S236c7c

Code: Select all

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

B3aij6i/S2aeik3-cky4i

Code: Select all

x = 3, y = 3, rule = B3aij6i/S2aeik3-cky4i
3o$obo$obo!

B2a4i/S1e

Code: Select all

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

B2e3ai4c6i/S2-c3eijnr4ijz

Code: Select all

x = 3, y = 3, rule = B2e3ai4c6i/S2-c3eijnr4ijz
3o$obo$obo!

B34c/S2-i34wy5ay6i

Code: Select all

x = 4, y = 5, rule = B34c/S2-i34wy5ay6i
b2o$2obo$o2bo$2obo$b2o!

B3-y4ceq6c/S23-e5e

Code: Select all

x = 3, y = 3, rule = B3-y4ceq6c/S23-e5e
3o$obo$obo!

B2a4i/S1e

Code: Select all

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

B2e3/S123-a

Code: Select all

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

Diamond replicators: (look like a rhombus)

B3578/S23

Code: Select all

x = 7, y = 7, rule = B3578/S23
3o$obo$3o2$4b3o$4bobo$4b3o!

B3-c/S123i4a

Code: Select all

x = 5, y = 5, rule = B3-c_S123i4a
3o2$4bo$4bo$4bo!

B34ew/S23

Code: Select all

x = 9, y = 9, rule = B34ew_S23
bo2$3o4$7bo2$6b3o!

B3-ckq6/S2-c34ci6

Code: Select all

x = 48, y = 49, rule = B3-ckq6/S2-c34ci6
15$24b3o$23bo2bo$23bo2bo$23b3o5$32b3o$31bo2bo$31bo2bo$31b3o3$10b3o$9bo
2bo$9bo2bo$9b3o5$18b3o$17bo2bo$17bo2bo$17b3o!

B2a/S3a4a and B2a/S12k

Code: Select all

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

B2ce3-ai/S01

Code: Select all

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

B3-jq/S234i

Code: Select all

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

B3-q/S2-c3-ekn4ain

Code: Select all

x = 3, y = 3, rule = B3-q/S2-c3-ekn4ain
3o$obo$3o!

B2a3in4it/S1e

Code: Select all

x = 3, y = 3, rule = B2a3in4it/S1e
3o$obo$3o!

B34et5ky8/S234e8

Code: Select all

x = 3, y = 3, rule = B34et5ky8/S234e8
3o$3o$3o!

B34ce/S12-a3

Code: Select all

x = 5, y = 5, rule = B34ce/S12-a3
3o$o$o3bo$4bo$2b3o!

B34e5r68_S2-n34n5e

Code: Select all

x = 15, y = 15, rule = B34e5r68_S2-n34n5e
2bo$bobo$obobo$bobo$2bo6$12bo$11bobo$10bobobo$11bobo$12bo!

B2a3i6/S256

Code: Select all

x = 3, y = 3, rule = B2a3i6/S256
2o$2bo$2bo!

Code: Select all

x = 2, y = 2, rule = B2a3i6/S256
2o$2o!

Code: Select all

x = 4, y = 4, rule = B2a3i6/S256
2o$2o$2b2o$2b2o!

B2i34w5eq7/S1e2ikn34ci

Code: Select all

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

B2a3a/S024

Code: Select all

x = 4, y = 4, rule = B2a3a/S024
2b2o$2b2o$2o$2o!

B2acin/S

Code: Select all

x = 1, y = 3, rule = B2acin/S
o$o$o!

Oblique replicators: (other slopes of replicator)

B34ej5y6n/S23 (slope ?)

Code: Select all

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

B3-nq4nt5ar/S2-k34aiw (slope ?)

Code: Select all

x = 3, y = 4, rule = B3-nq4nt5ar/S2-k34aiw
2o$b2o$2o$o!

I'm sure there's page upon page of these, so keep supplying

[Bullet51]

Maybe this one:

Code: Select all

x = 5, y = 5, rule = B3-c_S123i4a
3o2$4bo$4bo$4bo!

[muzik]

That's pretty interesting. Ruletable?

[AbhpzTa]

CommonRepl (B3/S23-ac4eiy6): orthogonal, true

Code: Select all

x = 5, y = 5, rule = B3/S23-ac4eiy6
2bo$b3o$2ob2o$bobo$2bo!

[muzik]

noice.


I wonder, are there any oblique quadratic replicators?

[Bullet51]

That's pretty interesting. Ruletable?

Here you are:

Code: Select all

@RULE B3-c_S123i4a

*** File autogenerated by saverule. ***


This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details


@TABLE


n_states:2
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
var h={0,1}

# Birth
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1

# Survival
1,1,0,0,0,0,0,0,0,1
1,0,1,0,0,0,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,0,1,1
1,1,1,1,1,0,0,0,0,1

# Death
1,a,b,c,d,e,f,g,h,0


@COLORS

[muzik]

nice.

I decided to create a rule mashup with the rules with true replicators. Still waiting for that wlife rule table, or at least to get back home to generate it.

Code: Select all

@RULE reps
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var s=1
var w=2
var x=3
var a={0,1,2,3}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a

#b3578s23
0,s,s,s,0,0,0,0,0,s
0,s,s,0,s,0,0,0,0,s
0,s,s,0,0,s,0,0,0,s
0,s,s,0,0,0,s,0,0,s
0,s,s,0,0,0,0,s,0,s
0,s,s,0,0,0,0,0,s,s
0,s,0,s,0,s,0,0,0,s
0,s,0,s,0,0,s,0,0,s
0,s,0,0,s,0,s,0,0,s
0,0,s,0,s,0,s,0,0,s
0,s,s,s,s,s,0,0,0,s
0,s,s,s,s,0,s,0,0,s
0,s,s,s,s,0,0,s,0,s
0,s,s,s,s,0,0,0,s,s
0,s,s,s,0,s,s,0,0,s
0,s,s,s,0,s,0,s,0,s
0,s,s,0,s,s,s,0,0,s
0,s,s,0,s,s,0,s,0,s
0,s,s,0,s,0,s,s,0,s
0,s,s,0,s,0,s,0,s,s
0,s,s,s,s,s,s,s,0,s
0,s,s,s,s,s,s,0,s,s
0,s,s,s,s,s,s,s,s,s
s,s,s,0,0,0,0,0,0,s
s,s,0,s,0,0,0,0,0,s
s,s,0,0,s,0,0,0,0,s
s,s,0,0,0,s,0,0,0,s
s,0,s,0,s,0,0,0,0,s
s,0,s,0,0,0,s,0,0,s
s,s,s,s,0,0,0,0,0,s
s,s,s,0,s,0,0,0,0,s
s,s,s,0,0,s,0,0,0,s
s,s,s,0,0,0,s,0,0,s
s,s,s,0,0,0,0,s,0,s
s,s,s,0,0,0,0,0,s,s
s,s,0,s,0,s,0,0,0,s
s,s,0,s,0,0,s,0,0,s
s,s,0,0,s,0,s,0,0,s
s,0,s,0,s,0,s,0,0,s
#b3-cs123i4a
0,w,w,w,0,0,0,0,0,w
0,w,w,0,w,0,0,0,0,w
0,w,w,0,0,w,0,0,0,w
0,w,w,0,0,0,w,0,0,w
0,w,w,0,0,0,0,w,0,w
0,w,w,0,0,0,0,0,w,w
0,w,0,w,0,w,0,0,0,w
0,w,0,w,0,0,w,0,0,w
0,w,0,0,w,0,w,0,0,w
w,w,0,0,0,0,0,0,0,w
w,0,w,0,0,0,0,0,0,w
w,w,w,0,0,0,0,0,0,w
w,w,0,w,0,0,0,0,0,w
w,w,0,0,w,0,0,0,0,w
w,w,0,0,0,w,0,0,0,w
w,0,w,0,w,0,0,0,0,w
w,0,w,0,0,0,w,0,0,w
w,w,w,0,0,0,0,0,w,w
w,w,w,w,w,0,0,0,0,w
#commonrepl
0,x,x,x,0,0,0,0,0,x
0,x,x,0,x,0,0,0,0,x
0,x,x,0,0,x,0,0,0,x
0,x,x,0,0,0,x,0,0,x
0,x,x,0,0,0,0,x,0,x
0,x,x,0,0,0,0,0,x,x
0,x,0,x,0,x,0,0,0,x
0,x,0,x,0,0,x,0,0,x
0,x,0,0,x,0,x,0,0,x
0,0,x,0,x,0,x,0,0,x
x,a,0,0,0,0,0,0,0,0
x,0,x,0,0,0,0,0,0,0
x,x,x,x,x,x,x,x,a,0
x,x,x,x,x,x,x,0,x,0
x,0,x,a,x,0,x,0,b,0
x,x,x,x,a,b,0,0,0,0
x,x,x,a,0,x,0,x,0,0
x,x,a,x,x,0,0,0,x,0
x,x,x,0,x,0,a,x,0,0
x,x,x,x,a,0,x,0,0,0
x,x,x,a,0,x,x,0,0,0
x,x,x,a,0,x,0,0,x,0
x,x,x,0,x,x,x,0,0,0
x,x,x,0,x,x,0,x,0,0



#death
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0

@COLORS

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

@ICONS

circles

What would be nice, is if there was a way to simulate some pseudo-3D "layered" behaviour in the ruletable.

So like:
0 = dead
1 = B3578/S23
2 = B3-c/S123i4a
3 = CommonRepl
4 = B3578/S23 and B3-c/S123i4a
5 = B3578/S23 and CommonRepl
6 = B3-c/S123i4a
7 = All three rules

[drc]

Failed p93 2DR:

Code: Select all

x = 4, y = 3, rule = B34i5y_S23
b2o$2obo$2bo!

[muzik]

Updated

[drc]

Bump:

Code: Select all

x = 9, y = 9, rule = B34ew_S23
bo2$3o4$7bo2$6b3o!

[shouldsee]

blinker, orthogonal

EDIT:This one doesn't meet "no B0/B1" criteria

Code: Select all

x = 1, y = 3, rule = B02345/S0234
o$o$o!

[BlinkerSpawn]

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

blinker, orthogonal

Code: Select all

x = 1, y = 3, rule = B02345/S0234
o$o$o!

[shouldsee]

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

blinker, orthogonal

Code: Select all

x = 1, y = 3, rule = B02345/S0234
o$o$o!

Whoops didn't see that...

Tried to delete it, but doesn't really work.

Guess I can only delete newest post.

BTW, I don't perfectly understand why B0/B1 should not be included? For they don't necessary explode all the time. Are there simply too many of them?

[muzik]

Yep.

[FlameandFury]

Code: Select all

x = 12, y = 11, rule = B3-ckq/S2-c34ci
3$4b3o$4bobo$4bobo$8bo$8bo$8bo!

Weirdest failed 2D replicator I have seen. Also, the Pi heptomino just by itself is a dirty 2D replicator in B3-ck/S2-c34ci

[muzik]

ahaha that's hilarious.

[BlinkerSpawn]

Code: Select all

x = 12, y = 11, rule = B3-ckq/S2-c34ci
3$4b3o$4bobo$4bobo$8bo$8bo$8bo!

Weirdest failed 2D replicator I have seen. Also, the Pi heptomino just by itself is a dirty 2D replicator in B3-ck/S2-c34ci

p54s:

Code: Select all

x = 119, y = 36, rule = B3-ckq/S2-c34ci
54bo55b2o$54bo55b2o$54bo40b3o$107b2o$8b2o96bo6b2o$8b2o99bo2bob2o$108b
2o2bob2o$85b2o11b3o7bo5bo$55b3o27b2o22bob2obo$11b3o81b3o11b5o$52b3o40b
o$8b3o41bo42b3o10b3o4b3o$8bo19b2o22b3o20bo$8b3o17b2o45bo$75bo7$42bo$
42bo43b3o4b3o10b3o$42bo20b3o42bo$2o17b3o43bo24b5o11b3o$2o19bo41b3o23bo
b2obo22b2o$19b3o67bo5bo7b3o11b2o$60b3o25b2obo2b2o$16b3o69b2obo2bo$89b
2o6bo$95b2o$106b3o$20b2o70b2o$20b2o41bo28b2o$63bo$63bo!

[FlameandFury]

Code: Select all

x = 4, y = 4, rule = B3-kn5y8/S234i5i
b3o$o2bo$o2bo$3o!

Replicates twice and dies.

[BlinkerSpawn]

p108 gun:

Code: Select all

x = 73, y = 62, rule = B3-ckq/S2-c34ci
8b2o$8b2o7$20b3o5b2o$9bo10bobo5b2o$9bo10bobo28b2o$24bo26b2o$10bo13bo$
24bo3$5bo$5bo$5bo65b2o$7bobo61b2o$2o5bobo$2o5b3o5$43b3o$47b3o3$49b2ob
2o$19b2ob2o26b3o$19bo3bo27bo$20bo2bo$20bobo$17b3o2$8bo$7bobo53b2o$6bo
3bo52b2o$2o4bo3bo$2o4b2ob2o3$4b3o4$58bo$23b3o30bobo$57b2o2$19b2ob2o4b
2o$19bo3bo4b2o$19bo3bo$20bobo$21bo4$8b2o$8b2o!

[muzik]

OP finally updated. Any more?

[AbhpzTa]

p108 gun:

Code: Select all

x = 73, y = 62, rule = B3-ckq/S2-c34ci
8b2o$8b2o7$20b3o5b2o$9bo10bobo5b2o$9bo10bobo28b2o$24bo26b2o$10bo13bo$
24bo3$5bo$5bo$5bo65b2o$7bobo61b2o$2o5bobo$2o5b3o5$43b3o$47b3o3$49b2ob
2o$19b2ob2o26b3o$19bo3bo27bo$20bo2bo$20bobo$17b3o2$8bo$7bobo53b2o$6bo
3bo52b2o$2o4bo3bo$2o4b2ob2o3$4b3o4$58bo$23b3o30bobo$57b2o2$19b2ob2o4b
2o$19bo3bo4b2o$19bo3bo$20bobo$21bo4$8b2o$8b2o!

Smaller:

Code: Select all

x = 26, y = 27, rule = B3-ckq/S2-c34ci
22b2o$22b2o3$2o$2o2$6bo$5b3o$5bobo2$2b3o11$24b2o$24b2o2$3b2o$3b2o!

p36 and p54:

Code: Select all

x = 86, y = 27, rule = B3-ckq/S2-c34ci
22b2o58b2o$22b2o58b2o2$15bo59bo$2o13bo44b2o13bo$2o13bo2b2o40b2o13bo$
18bobo56b2o$20b2o56b2o$18bobo56b2o$18b2o$5b3o$5bo2bo$5bo$6bo$7bo2bo2$
8b2o$9b2o9bo$15b3o2b2o$14b2obo49b2o$13b2obo49b2o$14bobo50b2o$15b2o7b2o
44bo13b2o$24b2o44bo13b2o$70bo$3b2o58b2o$3b2o58b2o!

[FlameandFury]

Another shuttle:

Code: Select all

x = 33, y = 31, rule = B3-ckq/S2-c34ci
$24b2o$24bo$25bobo$3b2o21b2o$4bo$bobo$b2o8$9bo$8b3o$7b2o2bo$7bobobo$7b
o4bo$7bo2b3o$9b2o2$8bob3o$7b2ob3o16b2o$6b2o2bo17bobo$7bo2bo16bo$4b2o2b
3o16b2o$4bobo2bo$7bo$6b2o!

[FlameandFury]

Code: Select all

x = 6, y = 6, rule = B3-ckq6/S2-c34ci6
$b3o$bobo$b2o!

so sad lol

[muzik]

Any actual replicators in that rule that you can make by meshing those together?

[FlameandFury]

This:

Code: Select all

x = 48, y = 49, rule = B3-ckq6/S2-c34ci6
15$24b3o$23bo2bo$23bo2bo$23b3o5$32b3o$31bo2bo$31bo2bo$31b3o3$10b3o$9bo
2bo$9bo2bo$9b3o5$18b3o$17bo2bo$17bo2bo$17b3o!

o: