ConwayLife.com

Posted: **February 13th, 2024, 12:42 am**

Natural 4c/10 spaceship exists, probably could help prove Turing completeness:

x = 4, y = 4, rule = B-loopT
D$.AB$A.CA$2.B!



@RULE B-loopT

@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4

var i1 = {0,1,2,3}
var i2 = {0,1,2,3}
var i3 = {0,1,2,3}
var i4 = {0,1,2,3}
var i5 = {0,1,2,3}
var i6 = {0,1,2,3,4}
var i7 = {0,1,2,3,4}
var a1 = {0,1,2,3,4}
var a2 = {0,1,2,3,4}
var a3 = {0,1,2,3,4}
var a4 = {0,1,2,3,4}
var a5 = {0,1,2,3,4}
var a6 = {0,1,2,3,4}
var a7 = {0,1,2,3,4}
var a8 = {0,1,2,3,4}
var c = {1,2,3}
var n1 = {1,2,3}
var n2 = {1,2,3}
var n3 = {1,2,3}
var n4 = {1,2,3}
var n5 = {1,2,3}
0,i1,i2,3,2,1,i3,i4,i5,1
0,2,i1,i2,i3,i4,i5,i6,1,1
0,1,0,3,0,1,0,0,0,4
0,2,3,1,0,0,0,0,0,2
0,2,1,0,0,0,0,0,0,3
0,2,0,0,0,0,0,1,0,3
0,2,0,3,0,0,0,0,0,1
0,n1,n2,n3,n4,n5,0,i1,0,4
0,0,1,2,0,4,0,0,0,4

i1,i1,i2,i1,i3,i4,i5,i6,i7,0
1,i1,3,2,i2,i3,i4,i5,i6,2
2,3,i1,i2,i3,i4,i5,1,i6,3
3,i1,i2,i3,i4,2,1,i5,i6,0
c,4,i7,i1,i2,i3,i4,i5,i6,4
4,0,2,0,0,0,3,2,4,1
4,0,3,2,4,0,0,0,0,1
4,a1,a2,a3,a4,a5,a6,a7,a8,0

2,3,0,0,4,0,0,0,0,0
1,i1,0,0,0,0,0,0,0,4
3,3,0,1,1,0,0,0,0,4
1,3,1,0,0,0,0,0,0,2
2,1,0,0,0,0,0,1,0,4
0,3,3,1,0,0,0,0,0,4
3,0,1,1,1,0,1,1,1,4
2,3,0,1,0,0,0,0,0,4

1,1,0,0,0,0,0,0,0,4
c,0,i1,0,0,0,0,0,0,4
i1,c,0,0,0,0,0,0,0,4
1,0,1,0,1,0,i1,i2,i3,4
3,i1,0,0,0,i2,1,0,1,4
3,n1,n2,0,0,0,0,0,i1,4

@COLORS
1 0 0 255
2 255 255 0
3 0 255 0
4 255 255 255

Also the loop is small enough to commonly arises from soups, making this rule explosive, thus answering HerscheltheHerschel's question:

HerscheltheHerschel wrote: November 18th, 2023, 9:10 am Is there an explosive loop rule?
...

EDIT:
2G to 2G:

Code: Select all

x = 30, y = 6, rule = B-loopT
D$.AB$A.CA23.B$2.B23.AC.A$27.BA$29.D!


@RULE B-loopT

@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4

var i1 = {0,1,2,3}
var i2 = {0,1,2,3}
var i3 = {0,1,2,3}
var i4 = {0,1,2,3}
var i5 = {0,1,2,3}
var i6 = {0,1,2,3,4}
var i7 = {0,1,2,3,4}
var a1 = {0,1,2,3,4}
var a2 = {0,1,2,3,4}
var a3 = {0,1,2,3,4}
var a4 = {0,1,2,3,4}
var a5 = {0,1,2,3,4}
var a6 = {0,1,2,3,4}
var a7 = {0,1,2,3,4}
var a8 = {0,1,2,3,4}
var c = {1,2,3}
var n1 = {1,2,3}
var n2 = {1,2,3}
var n3 = {1,2,3}
var n4 = {1,2,3}
var n5 = {1,2,3}
0,i1,i2,3,2,1,i3,i4,i5,1
0,2,i1,i2,i3,i4,i5,i6,1,1
0,1,0,3,0,1,0,0,0,4
0,2,3,1,0,0,0,0,0,2
0,2,1,0,0,0,0,0,0,3
0,2,0,0,0,0,0,1,0,3
0,2,0,3,0,0,0,0,0,1
0,n1,n2,n3,n4,n5,0,i1,0,4
0,0,1,2,0,4,0,0,0,4

i1,i1,i2,i1,i3,i4,i5,i6,i7,0
1,i1,3,2,i2,i3,i4,i5,i6,2
2,3,i1,i2,i3,i4,i5,1,i6,3
3,i1,i2,i3,i4,2,1,i5,i6,0
c,4,i7,i1,i2,i3,i4,i5,i6,4
4,0,2,0,0,0,3,2,4,1
4,0,3,2,4,0,0,0,0,1
4,a1,a2,a3,a4,a5,a6,a7,a8,0

2,3,0,0,4,0,0,0,0,0
1,i1,0,0,0,0,0,0,0,4
3,3,0,1,1,0,0,0,0,4
1,3,1,0,0,0,0,0,0,2
2,1,0,0,0,0,0,1,0,4
0,3,3,1,0,0,0,0,0,4
3,0,1,1,1,0,1,1,1,4
2,3,0,1,0,0,0,0,0,4

1,1,0,0,0,0,0,0,0,4
c,0,i1,0,0,0,0,0,0,4
i1,c,0,0,0,0,0,0,0,4
1,0,1,0,1,0,i1,i2,i3,4
3,i1,0,0,0,i2,1,0,1,4
3,n1,n2,0,0,0,0,0,i1,4

@COLORS
1 0 0 255
2 255 255 0
3 0 255 0
4 255 255 255

Posted: **February 14th, 2024, 9:19 am**

(I don't see anyone posting here, so multipost)
This isn't quite a loop, but it behaves like one. It initially creates some H-trees, but rapidly turns into chaotic growth.
It then splits into a few colonies, which evolves into different "species". These "species" may interact with surroundings, possibly evolve due to mutations in their "genes".
Sadly, nothing is inevitable from escaping the dominance of the "H-trees", in analogue to the small loops in Evoloop.
Anyways, this is the seed:

Code: Select all

x = 11, y = 4, rule = B-Univ
A7.A$CGACGACDACB$A9.A$3AGCAGCAGC!

EDIT:
Still no loops, but H-trees can been modified and mutate:

Code: Select all

x = 117, y = 116, rule = B-Univ
.CDACGACGAC2AE$.A8.G93.CGACGACGAC2AE$.B8.A93.A8.G$.C8.C93.G8.A$.A8.B93.
C8.C$.D8.A93.A8.B$.C8.C93.G8.A$.A8.D93.C8.C$.G8.A93.A8.D$.CAGCAGCAGC93.
G8.A$104.CAGCABCAGC94$102.CGACGACGAC2AE$102.A8.G$CDACGACGAC2AE89.D8.A
$A8.G92.C8.C$G8.A92.A8.B$C8.C92.G8.A$A8.B92.C8.C$G8.A92.A8.D$C8.C92.G
8.A$A8.D92.CAGCABCAGC$G8.A$CAGCABCAGC!

Posted: **February 15th, 2024, 8:39 pm**

(i wont even bother reading 5 pages just assume the topic of the first few posts of this topic)
i made my own loop rule!

Code: Select all

@RULE tommyloops1

@TABLE
n_states: 11
neighborhood:vonNeumann
symmetries:none
0, 0,0,0,1, 2
0, 0,0,0,2, 3
0, 0,0,0,3, 6
0, 0,0,0,8, 9
0, 0,0,5,9, 10
0, 0,0,0,6, 1
0, 0,0,1,0, 4
0, 0,0,3,0, 5
0, 0,0,4,0, 8
0, 0,0,8,0, 7
0, 0,0,7,0, 1
0, 0,0,7,6, 1
6, 0,1,0,3, 0
7, 1,0,8,0, 0

@COLORS
0 0 0 0
1 0 0 255
2 0 0 255
3 0 0 255
4 0 0 255
5 0 0 255
6 255 0 0
7 255 0 0
8 0 0 255
9 0 0 255
10 0 0 255

and heres how to make a loop:

Code: Select all

x = 1, y = 1, rule = tommyloops1
A!

yep! just one pixel. and it's so fast too! zoom! hehe.

Posted: **February 24th, 2024, 9:47 pm**

Trying to emulate SDSR loop:

Code: Select all

x = 0,  y = 0, rule = SDSRLemulated
A!
@RULE SDSRLemulated
@TABLE
n_states:5
neighborhood:vonNeumann
symmetries:none
var a1 = {0,1,2,3,4}
var a2 = {0,1,2,3,4}
var a3 = {0,1,2,3,4}
var a4 = {0,1,2,3,4}
var l = {1,2,3,4}
l,1,a1,a2,a3,0
l,a1,2,a2,a3,0
l,a1,a2,3,a3,0
l,a1,a2,a3,4,0

0,1,a1,a2,a3,1
0,a1,2,a2,a3,2
0,a1,a2,3,a3,3
0,a1,a2,a3,4,4

1,a1,a2,a3,a4,2
2,a1,a2,a3,a4,3
3,a1,a2,a3,a4,4
4,a1,a2,a3,a4,1

Posted: **February 29th, 2024, 6:21 am**

(I think this is revival)
Almost a loop:

Code: Select all

x = 11, y = 10, rule = LoopTest
.BG$G8A$BA6.A$.A6.A$GA6.A$BA6.A$.A6.A$GA6.A$B8A.A$.GB.GB.DB!


@RULE LoopTest
@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4,5,6,7}
var a2 = {0,1,2,3,4,5,6,7}
var a3 = {0,1,2,3,4,5,6,7}
var a4 = {0,1,2,3,4,5,6,7}
var a5 = {0,1,2,3,4,5,6,7}
var a6 = {0,1,2,3,4,5,6,7}
var a7 = {0,1,2,3,4,5,6,7}
var a8 = {0,1,2,3,4,5,6,7}
var s = {4,6,7}

0,1,0,1,0,0,0,0,0,1
0,0,7,0,2,5,0,0,0,1
0,s,a1,a2,a3,a4,a5,a6,1,s
0,7,2,1,0,a1,a2,0,0,1
0,4,2,1,1,0,0,0,0,1
0,s,a1,a2,a3,a4,a5,1,2,s
0,5,7,0,0,0,0,0,0,5
0,5,0,2,0,0,0,0,0,5
0,1,2,0,1,1,1,0,1,5
0,0,5,1,1,2,0,0,0,5
1,5,2,0,4,0,0,0,0,0
5,a1,1,1,a2,0,0,0,0,5
5,7,0,0,0,0,a1,a2,2,0
5,5,0,4,2,1,0,0,0,0
5,5,4,0,0,0,0,0,0,0
5,5,0,4,2,0,0,0,0,1
0,0,2,7,0,5,0,0,0,5
5,0,7,0,0,0,0,0,0,0
5,2,0,0,0,0,0,0,0,0
5,1,1,0,1,1,1,0,0,0
s,a1,a2,a3,a4,a5,a6,a7,a8,2
2,a1,a2,a3,a4,a5,a6,a7,a8,0

@COLORS
1 0 0 255
2 255 0 0
3 0 255 0
4 255 255 0
5 255 0 255
6 255 255 255
7 0 255 255

EDIT:
Almost complete, but can someone tell me why the loop fail?

Code: Select all

x = 11, y = 10, rule = LoopTest
.BG$G8A$BA6.A$.A6.A$GA6.A$BA6.A$.A6.A$GA6.A$B8A.A$.GB.GB.DB!


@RULE LoopTest
@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4,5,6,7}
var a2 = {0,1,2,3,4,5,6,7}
var a3 = {0,1,2,3,4,5,6,7}
var a4 = {0,1,2,3,4,5,6,7}
var a5 = {0,1,2,3,4,5,6,7}
var a6 = {0,1,2,3,4,5,6,7}
var a7 = {0,1,2,3,4,5,6,7}
var a8 = {0,1,2,3,4,5,6,7}
var s = {4,6,7}

0,1,0,1,0,0,0,0,0,1
0,0,7,0,2,5,0,0,0,1
0,s,a1,a2,a3,a4,a5,a6,1,s
0,7,2,1,0,a1,a2,0,0,1
0,4,2,1,1,0,0,0,0,1
0,s,a1,a2,a3,a4,a5,1,2,s
0,5,7,0,0,0,0,0,0,5
0,5,0,2,0,0,0,0,0,5
0,1,2,0,1,1,1,0,1,5
0,0,5,1,1,2,0,0,0,5
1,5,2,0,4,0,0,0,0,0
2,0,1,1,a1,2,0,0,s,2
5,a1,1,1,a2,0,0,0,0,5
5,7,0,0,0,0,a1,a2,2,0
5,5,0,4,2,1,0,0,0,0
5,5,4,0,0,0,0,0,0,0
5,5,0,4,2,0,0,0,0,1
0,0,2,7,0,5,0,0,0,5
5,0,7,0,0,0,0,0,0,0
5,2,0,0,0,0,0,0,0,0
5,1,1,0,1,1,1,0,0,0
s,a1,a2,a3,a4,a5,a6,a7,a8,2
2,a1,a2,a3,a4,a5,a6,a7,a8,0

@COLORS
1 0 0 255
2 255 0 0
3 0 255 0
4 255 255 0
5 255 0 255
6 255 255 255
7 0 255 255

Posted: **February 29th, 2024, 8:02 am**

b-engine wrote: February 29th, 2024, 6:21 am EDIT:
Almost complete, but can someone tell me why the loop fail?

Code: Select all

x = 11, y = 10, rule = LoopTest
.BG$G8A$BA6.A$.A6.A$GA6.A$BA6.A$.A6.A$GA6.A$B8A.A$.GB.GB.DB!


@RULE LoopTest
@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4,5,6,7}
var a2 = {0,1,2,3,4,5,6,7}
var a3 = {0,1,2,3,4,5,6,7}
var a4 = {0,1,2,3,4,5,6,7}
var a5 = {0,1,2,3,4,5,6,7}
var a6 = {0,1,2,3,4,5,6,7}
var a7 = {0,1,2,3,4,5,6,7}
var a8 = {0,1,2,3,4,5,6,7}
var s = {4,6,7}

0,1,0,1,0,0,0,0,0,1
0,0,7,0,2,5,0,0,0,1
0,s,a1,a2,a3,a4,a5,a6,1,s
0,7,2,1,0,a1,a2,0,0,1
0,4,2,1,1,0,0,0,0,1
0,s,a1,a2,a3,a4,a5,1,2,s
0,5,7,0,0,0,0,0,0,5
0,5,0,2,0,0,0,0,0,5
0,1,2,0,1,1,1,0,1,5
0,0,5,1,1,2,0,0,0,5
1,5,2,0,4,0,0,0,0,0
2,0,1,1,a1,2,0,0,s,2
5,a1,1,1,a2,0,0,0,0,5
5,7,0,0,0,0,a1,a2,2,0
5,5,0,4,2,1,0,0,0,0
5,5,4,0,0,0,0,0,0,0
5,5,0,4,2,0,0,0,0,1
0,0,2,7,0,5,0,0,0,5
5,0,7,0,0,0,0,0,0,0
5,2,0,0,0,0,0,0,0,0
5,1,1,0,1,1,1,0,0,0
s,a1,a2,a3,a4,a5,a6,a7,a8,2
2,a1,a2,a3,a4,a5,a6,a7,a8,0

@COLORS
1 0 0 255
2 255 0 0
3 0 255 0
4 255 255 0
5 255 0 255
6 255 255 255
7 0 255 255

It fails because the pink cell on the very first loop kills the blue cells

Posted: **March 1st, 2024, 7:36 pm**

Ship in Goucher loops:

Code: Select all

x = 44, y = 105, rule = GoucherLoops
13.5B$12.BG.AG.B$12.BA3BAB$12.B.B.BGB$9.4BEB.B.B$8.B.AE.AB.BAB$8.BG4B
2.BGB$8.BAB5.B.B$8.B.4B2.BAB4.5B$8.BGA.GAB.BGB3.B5AB$9.4B.B.B.B3.B.3B
AB$12.BGB.BAB3.BIB.BAB$13.B2.BG5BAB.BA4B$16.B.AG.AG.B.B5AB$17.7B3.4BA
B$30.BAB$30.BAB$30.BAB$30.BAB$30.BGB$30.B.B$30.BAB$30.BGB$30.B.B$30.B
AB$30.BNB$30.B.B$30.BAB$30.BDB$30.B.B$30.BAB$30.BGB$30.B.B$30.BAB$30.
BGB$30.B.B$13.5B12.BAB$12.B5AB11.BGB$12.BA3BAB11.B.B$12.BAB.BAB11.BAB
$9.4BAB.BAB11.BDB$8.B5AB.BGB11.B.B$8.BA4B2.B.B11.BAB$8.BAB5.BAB11.BDB
$8.B.4B2.BGB4.4BC2.B.B$8.BIA.GAB.B.B3.BG.AD.B.BAB$9.4B.B.BAB3.BA3BAB.
BGB$12.BGB.BNB3.B.B.BDB.B.B$12.BAB.B.5BGB.B.3BAB$12.B.B.BAD.AG.AB.BAG
.AGB$.12BGB2.7B3.4B.B$BAG.AG.AG.AG.AB15.BAB$B.12B5.12BGB$BGB15.B.GA.G
A.EA.EA.B$BA4B3.7B2.BA12B$C.EA.EB.BGA.GA.EB.BGB10.B$.4BAB.B.5BAB.B.B10.
B$4.B.B.BAB3.B.B.BAB10.B$4.BG3BGB3.BEB.BD4B7.B$4.BA.GA.B3.BAB.B.AD.AB
6.B$5.5B4.B.B2.C3BGB6.B$14.BGB5.B.B6.B$14.BAB2.4BAB6.B$14.B.B.B.GA.GB
6.B$14.BGB.BA4B7.B$14.BAB.BDB10.B$14.B.3B.B10.B$14.BGA.DAB10.B$15.5B11.
B$31.B$31.B$31.B$13.5B13.B$12.B.AG.AK12.B$12.BG3BGB12.B$12.BAB.B.B12.
B$9.4B.B.BAB12.B$8.BAD.ADB.BEB12.B$8.B.4B2.B.B12.B$8.BGB5.BAB12.B$8.B
A4B2.BEB4.5B3.B$8.B.GA.GB.B.B3.BD.AG.B2.B$9.4BAB.BAB3.BA3BAB2.B$12.B.
B.BGB3.B.B.BGB2.B$12.BDB.B.5BDB.B.4B$12.BAB.BAG.AG.AB.BAG.ADB$.12B.B2.
7B3.4B.B$B6AG.AG.ANB15.BAB$BA12B5.C11BD11B$BAB15.B.EA.GA.GA.GA.DA.DA.
GA.GAC$BA4B3.7B2.BA23B$B5AB.BGA.GA.GB.BEB$.4BAB.B.5BAB.B.B$4.BAB.BAB3.
B.B.BAB$4.BA3BGB3.BGB.BG4B$4.BA.IA.B3.BAB.B.AG.AB$5.5B4.B.B2.4BGB$14.
BGB5.B.B$14.BAB2.4BAB$14.B.B.B.GA.GB$14.BGB.BA4B$14.BAB.BEB$14.B.3B.B
$14.BGA.EAB$15.5B!

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