ConwayLife.com

PHPBB12345

x = 2, y = 1, rule = Irrational5
EB!

@RULE Irrational5

@TABLE

n_states:8
neighborhood:vonNeumann
symmetries:none

var xn={0,1,2,3,4,5,6,7}
var xe=xn
var xs=xn
var xw=xn

0,xn,xe,xs, 1, 1
0,xn,xe,xs, 5, 1
0,xn,xe,xs, 3, 2
0,xn,xe, 3,xw, 4
0,xn, 4,xs,xw, 4
1,xn,xe,xs,xw, 0
2,xn,xe,xs, 1, 3 ...

PHPBB12345

WlAnt with irreversible components:
x = 11, y = 11, rule = WlAnt-5
10.D$BCA4$8.D.D4$D$10.D!

@RULE WlAnt-5
@TREE
num_states=5
num_neighbors=8
num_nodes=194
1 0 2 1 3 4
1 1 3 0 2 4
1 0 0 0 0 4
2 0 1 0 1 2
2 1 1 1 1 2
2 2 2 2 2 0
3 3 4 3 4 5
2 1 0 1 0 2
1 1 1 1 1 4
2 8 8 8 8 1
3 4 7 4 7 9
1 2 2 2 2 4 ...

PHPBB12345

RotatingAnts.zip: HTML source files for RotaAnts; (5.02 KiB) Downloaded 6 times

PHPBB12345

x = 4, y = 4, rule = test6
.ABA$A$B$A!

@RULE test6

@TABLE

n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a={1,2}
var b={0,1,2}
var c={1,2}
var d={0,1,2}
var e={0,1,2}
var f={0,1,2}
var g={1,2}
var h={1,2}
var i={1,2}
0,0,0,0,0,0,1,a,1,1
0,0,0,0,0,0,a,1,2,2
0,0,0,0,0,0,1,2,2,1
0,0,0 ...

PHPBB12345

#N Fractal dimension log(5)/log(3) ~ 1.465

x = 1, y = 1, rule = rep-d1465
A!

@RULE rep-d1465

@TABLE

n_states:5
neighborhood:Moore
symmetries:none
var a={0,1,2,3,4}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={0,3}
var h={0,4}
var R={2,3}
var L={2,4}

0,a,g,b,c,d,e,f,1,1
0,a,g,b,c,d ...

PHPBB12345

@RULE W4124-emulated

@TABLE
n_states:4
neighborhood:Moore
symmetries:none

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

0,0,2,c,d,e,f,g,h,3
0,2,0,c,d,e,f,g,h,3
0,2,2,c,d,e,f,g,h,3
2,a,b,c,d,e,f,g,h,1
3,a,b,3,d,e,f,3,h,0
3,a,b,c,d,e,f,g,h,2

@COLORS

1 255 255 255
2 255 ...

PHPBB12345

Since the basic splitter as well as its capped reflector version both have a RT of 4, all oscillator and gun periods ≥4 can be proven to exist. I haven't found any p2s or p3s, but islptng might've intentionally added them to the rule. In that case, this rule is omniperiodic.

I won't make any ...

PHPBB12345

x = 62, y = 16, rule = R2,C0,S2-3,B3,N@A82415
12b2o34b2o$10b6o30b6o$10b6o30b6o$8b2o6b2o26b2o6b2o$6b4o2b6o26b6o2b4o$
6b4o8b2o22b2o8b4o$8b2o4b2o2b4o8b2o8b4o2b2o4b2o$4b2o2b2o2b4o2b4o6b6o6b
4o2b4o2b2o2b2o$2b4o2b2o8b2o2b2o2b4o2b4o2b2o2b2o8b2o2b4o$2b4o2b2o8b2o2b
4o2b6o2b4o2b2o8b2o2b4o ...

PHPBB12345

x = 3, y = 3, rule = test
.2A$2A$.A!

@RULE test

@TREE
num_states=4
num_neighbors=8
num_nodes=168
1 0 0 0 0
2 0 0 0 0
1 0 1 0 1
2 0 2 0 2
1 0 0 2 2
2 0 0 4 4
1 0 1 2 3
2 0 2 4 6
3 1 3 5 7
1 1 1 1 1
2 2 9 2 9
1 1 1 3 3
2 2 9 6 11
3 3 10 7 12
1 2 2 2 2
2 4 4 14 14
1 2 3 2 3
2 4 6 14 16
3 5 7 15 17
1 ...

PHPBB12345

x = 3, y = 3, rule = test
.2A$2A$.A!

@RULE test

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a = {0,1,2}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var c = {0,1}
var c1 = c
var c2 ...

PHPBB12345

It's possible to construct (28,3)c/84 puffer and rake.

PHPBB12345

The only gate I built in is the ANDNOT reaction demonstrated on the right intersection, where two signals cancel each other out.

Very interesting rule!
NAND should allow TC. Anyone care to make an W110 unit cell? I can do it as soon as I am off mobile.

A NAND B = 1 ANDNOT (A ANDNOT (A ...

PHPBB12345

The recent posts by ThePlayzr and Wildmyron reminded me of a rule I posted in the discord, but I hadn't posted it here. It's a rule with signal which travel along a lightspeed wire, along with a signal splitter, crossover, reflectors, and eaters.

x = 49, y = 35, rule = B2cek3cek4eikqrty5eiry6ac8 ...

PHPBB12345

A partial color changing reflector. The sacrificial boat here has to be replaced with either a permanent catalyst or a transparent object restored by other catalysts for the reflector to work. This would act as a stable version of a bouncer. If completed, the reflector would have a repeat time of ...

PHPBB12345

Some random “replicator” I found, might be useful
x = 83, y = 6, rule = B3/S23Investigator
2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED2ED
2ED2ED2ED2ED2E$P5.2A.2A71.P$P7.A73.P$C81.C$C81.C$83C!

P28 signal emitter:
x = 85, y = 19, rule = WWLifeFunc
C.B$B3.F$B3.F$C3.F$BA2.F ...

PHPBB12345

x = 17, y = 3, rule = test
B.3A.B6.A$B.A.A.B3.B.3A.B$B.3A.B3.B2A.A.B!

@RULE test
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect

var a={0,2,3}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h={0,1}
var i=h
var j=h
var k=h
var l=h
var m=h
var n=h
var o=h
var p={2,3}
var A={0,1 ...

PHPBB12345

Some kind of Pi Hep Dirty Failedrep Puffer Fractal-ish-but-Not-Quite Thingy in a 4INTTFL Rule:
x = 3, y = 3, rule = B3-ckqy/S23
3o$obo$obo!
EDIT: Really cursed c/30o, goes backwards relative to my exceptions.
x = 3, y = 3, rule = B3-ckq4jy5n/S23-cky4eknty
3o$obo$obo!

P72 gun:
x = 25, y ...

PHPBB12345

hotcrystal0 wrote: May 26th, 2026, 7:19 pm A couple minor updates to hc0_Univ for the ongoing CGoL unit cell development:
Code: Select all
x = 348, y = 251, rule = hc0-Univ
pattern

What is logic gate in hc0-Univ?

PHPBB12345

x = 2, y = 1, rule = SqrtReplicator
CB!

@RULE SqrtReplicator

@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect

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
var i={0,1}
var j=i
var k=i
var l=i
var m=i
var n=i
var o=i
var p=i

0,2,i,j,k,l,m,n,o,1
1,2,i,j,k,l ...

PHPBB12345

eRroR_6o6 wrote: July 10th, 2025, 10:05 pm Here's a conjecture: Every infinite oscillator has a period that is a power of 2.
(I'm kinda hoping this is false.)

Is this counts?

Code: Select all

x = 3, y = 1, rule = B1357/S1357:T5,1
obo!

Code: Select all

x = 10, y = 1, rule = B1357/S1357:T15,1
ob2o2b2obo!

PHPBB12345

Rule table:
@RULE BliptileWithHold

@TABLE
n_states:18
neighborhood:vonNeumann
symmetries:permute

var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}
var b = a
var c = a
var d = a
var e = {0,1,2,5,6,7,8,9,10,11,14,15,16,17}
var f = e
var g = e
var h = {3,4}
var i = {5,6,7}
var j = {8,9,10}
var k ...

PHPBB12345

Just want to post this thing, probably not Turing Complete.
x = 10, y = 10, rule = Splitile
4.2A$3.4A$2.3A.2A$.CA4.2A$2A5.3A$3A5.2A$.2A4.2A$2.2A.3A$3.4A$4.2A!

...

Crossover:
x = 55, y = 28, rule = Splitile
13.2A25.2A$12.4A23.4A$11.2A.3A21.3A.2A$10.2A4.2A19.2A4.2A$9.2A6.2A17.
2A6.2A$8.2A8 ...

PHPBB12345

x = 6, y = 4, rule = photon-rake
.5A$A4.A$5.A$4.A!

@RULE photon-rake

@TABLE
n_states:7
neighborhood:Moore
symmetries:none

var a={0,2,3,4,5}
var b={0,2,3,4,5,6}
var c={0,2,3,4,6}
var d={0,2,3,4,5,6}
var e={0,2,3,5,6}
var f={0,2,3,4,5,6}
var g={0,2,4,5,6}
var h={0,2,3,4,5,6}
var i={1,6}
var j={1 ...

PHPBB12345

dot gun
x = 24, y = 9, rule = R3,C2,S21-41,49-76,84-104,126-132,B7,21,35-41,63-76,91-104,126-132,NW000000000000000000000000000000000e2a0e000000002a002a000000012a072a01000000010101000000000001000000
11b2o$4bo3bo6bo3bo$3bobo12bobo$3bobo12bobo$2obobob10obobob2o$2obo16bo
b2o$3bo16bo$3bobo4b2obo4bobo ...

PHPBB12345

#C [[ RANDOMIZE2 RANDWIDTH 16 RANDHEIGHT 16 ]]
x = 0, y = 0, rule = DelayedDotLife
!

@RULE DelayedDotLife
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute

var a = {1,2}
var b = a
var c = a
var d = {0,a}
var e = d
var f = d
var g = d
var h = d
var i = d
var j = d
var k = d

a,b,c,0,0,0,0,0 ...

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