ConwayLife.com • Rules With Quadratic (2D) Replicators

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Rules With Quadratic (2D) Replicators

Posted: July 7th, 2016, 4:41 am

by 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

Re: Rules With Quadratic (2D) Replicators

Posted: July 7th, 2016, 4:55 am

by Bullet51

Maybe this one:

Code: Select all

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

Re: Rules With Quadratic (2D) Replicators

Posted: July 7th, 2016, 5:00 am

by muzik

That's pretty interesting. Ruletable?

Re: Rules With Quadratic (2D) Replicators

Posted: July 7th, 2016, 11:47 am

by AbhpzTa

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

Code: Select all

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

Re: Rules With Quadratic (2D) Replicators

Posted: July 7th, 2016, 1:38 pm

by muzik

noice.

I wonder, are there any oblique quadratic replicators?

Re: Rules With Quadratic (2D) Replicators

Posted: July 8th, 2016, 8:43 am

by Bullet51

muzik wrote: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

Re: Rules With Quadratic (2D) Replicators

Posted: July 8th, 2016, 9:21 am

by 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

Re: Rules With Quadratic (2D) Replicators

Posted: July 10th, 2016, 12:01 am

by drc

Failed p93 2DR:

Code: Select all

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

Re: Rules With Quadratic (2D) Replicators

Posted: July 24th, 2016, 5:10 pm

by muzik

Updated

Re: Rules With Quadratic (2D) Replicators

Posted: July 31st, 2016, 10:25 pm

by drc

Bump:

Code: Select all

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

Re: Rules With Quadratic (2D) Replicators

Posted: August 4th, 2016, 12:12 pm

by 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!

Re: Rules With Quadratic (2D) Replicators

Posted: August 4th, 2016, 2:11 pm

by BlinkerSpawn

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

shouldsee wrote:blinker, orthogonal
Code: Select all
x = 1, y = 3, rule = B02345/S0234
o$o$o!

Re: Rules With Quadratic (2D) Replicators

Posted: August 4th, 2016, 2:41 pm

by shouldsee

BlinkerSpawn wrote:
muzik wrote:For sake of brevity, rules with B0 or B1 will not be included
shouldsee wrote: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?

Re: Rules With Quadratic (2D) Replicators

Posted: August 4th, 2016, 3:47 pm

by muzik

Yep.

Re: Rules With Quadratic (2D) Replicators

Posted: August 21st, 2016, 6:33 pm

by 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

Re: Rules With Quadratic (2D) Replicators

Posted: August 21st, 2016, 6:35 pm

by muzik

ahaha that's hilarious.

Re: Rules With Quadratic (2D) Replicators

Posted: August 21st, 2016, 7:21 pm

by BlinkerSpawn

FlameandFury wrote:
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!

Re: Rules With Quadratic (2D) Replicators

Posted: August 23rd, 2016, 1:06 pm

by FlameandFury

Code: Select all

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

Replicates twice and dies.

Re: Rules With Quadratic (2D) Replicators

Posted: August 26th, 2016, 8:52 pm

by 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!

Re: Rules With Quadratic (2D) Replicators

Posted: August 27th, 2016, 5:57 am

by muzik

OP finally updated. Any more?

Re: Rules With Quadratic (2D) Replicators

Posted: August 27th, 2016, 12:28 pm

by AbhpzTa

BlinkerSpawn wrote: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!

Re: Rules With Quadratic (2D) Replicators

Posted: August 27th, 2016, 1:31 pm

by 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!

Re: Rules With Quadratic (2D) Replicators

Posted: August 28th, 2016, 7:36 pm

by FlameandFury

Code: Select all

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

so sad lol

Re: Rules With Quadratic (2D) Replicators

Posted: August 28th, 2016, 7:40 pm

by muzik

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

Re: Rules With Quadratic (2D) Replicators

Posted: August 28th, 2016, 7:46 pm

by 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: