OogaBooga's random stuff

[OogaBooga_]

A custom rule table specifically designed to be able to handle continuous signals (signals that are multiple cells long and have no interruptions).
Feel free to add construction capabilities

Code: Select all

#C [[ ZOOM 3 GRID COLOR GRID 50 50 50 GRIDMAJOR 10 COLOR GRIDMAJOR 75 75 75 COLOR BACKGROUND 0 0 0 GPS 60 WIDTH 937 HEIGHT 600 ]]
x = 104, y = 146, rule = SolidLogic
2D7.6D6.6D4.6D4.6D10.6D6.6D4.6D2.7D4.4D$2D7.6D6.6D4.6D4.6D10.6D6.6D4.
6D2.7D4.4D$2D5.2D6.2D2.2D12.2D4.2D14.2D10.2D6.2D4.2D4.2D7.2D4.2D$2D5.
2D6.2D2.2D12.2D4.2D14.2D10.2D6.2D4.2D4.2D7.2D4.2D$2D5.2D6.2D2.2D12.2D
4.2D14.2D10.2D6.2D4.2D4.2D7.2D$2D5.2D6.2D2.2D12.2D4.2D14.2D10.10D4.2D
4.2D7.2D$2D5.2D6.2D2.2D12.2D4.2D14.2D10.10D4.2D4.5D6.4D$2D5.2D6.2D2.2D
12.2D4.2D14.2D10.2D6.2D4.2D4.5D6.4D$2D5.2D6.2D2.2D4.4D4.2D4.2D14.2D4.
4D2.2D6.2D4.2D4.2D13.2D$2D5.2D6.2D2.2D4.4D4.2D4.2D14.2D4.4D2.2D6.2D4.
2D4.2D13.2D$2D5.2D6.2D2.2D6.2D4.2D4.2D14.2D6.2D2.2D6.2D4.2D4.2D7.2D4.
2D$2D5.2D6.2D2.2D6.2D4.2D4.2D14.2D6.2D2.2D6.2D4.2D4.2D7.2D4.2D$6D3.6D
6.6D4.6D4.6D10.6D4.2D6.2D4.2D4.7D4.4D$6D3.6D6.6D4.6D4.6D10.6D4.2D6.2D
4.2D4.7D4.4D3$2.100D$2.D98.D$2.D98.D$2.D98.D$2.D98.D$2.D98.D$2.D26.CB
20ACB10A38.D$2.D60.34AD3.D$2.D11.2A2.A3.A.2A3.CB9ACB21A38.D$2.D10.A2.
A.2A2.A.A.A74.D$2.D10.4A.A.A.A.A.A74.D$2.D10.A2.A.A2.2A.A.A2.C4B17AC4B
7A38.D$2.D10.A2.A.A3.A.2A37.34AD3.D$2.D26.C4B6AC4B18A38.D$2.D98.D$2.D
98.D$2.D98.D$2.D98.D$2.D59.A38.D$2.D26.CB20ACB10AD37.D$2.D59.35AD3.D$
2.D26.CB9ACB21AD37.D$2.D17.2A2.2A36.A38.D$2.D16.A2.A.A.A74.D$2.D16.A2.
A.2A75.D$2.D16.A2.A.A.A35.A38.D$2.D17.2A2.A.A2.C4B17AC4B7AD37.D$2.D59.
35AD3.D$2.D26.C4B6AC4B18AD37.D$2.D59.A38.D$2.D98.D$2.D98.D$2.D98.D$2.
D98.D$2.D59.3A2.A33.D$2.D26.CB20ACB10A2.3AD32.D$2.D60.AD2.30AD3.D$2.D
26.CB9ACB21A2.3AD32.D$2.D10.A3.A2.2A2.2A36.3A2.A33.D$2.D11.A.A2.A2.A.
A.A74.D$2.D12.A3.A2.A.2A75.D$2.D11.A.A2.A2.A.A.A35.3A2.A33.D$2.D10.A3.
A2.2A2.A.A2.C4B17AC4B7A2.3AD32.D$2.D60.AD2.30AD3.D$2.D26.C4B6AC4B18A2.
3AD32.D$2.D59.3A2.A33.D$2.D98.D$2.D98.D$2.D98.D$2.D98.D$2.D42.D17.D37.
D$2.D42.B17.B37.D$2.D26.CB14AB2A.14BC2A.30AD3.D$2.D42.BD2.B13.AD2.A33.
D$2.D10.A3.A2.2A2.3A18.5B13.5A33.D$2.D10.2A2.A.A2.A2.A75.D$2.D10.A.A.
A.A2.A2.A75.D$2.D10.A2.2A.A2.A2.A19.D17.D37.D$2.D10.A3.A2.2A3.A19.B17.
B37.D$2.D26.C4B11AB2A.14BC2A.30AD3.D$2.D42.BD2.B13.AD2.A33.D$2.D42.5B
13.5A33.D$2.D98.D$2.D98.D$2.D98.D$2.D98.D$2.D62.A35.D$2.D26.CB20ACB8A
4.AD34.D$2.D58.2AD33BD3.D$2.D26.CB9ACB19A.A2.A35.D$2.D4.A3.A2.2A2.A3.
A.2A36.4A35.D$2.D4.2A2.A.A2.A.2A2.A.A.A74.D$2.D4.A.A.A.4A.A.A.A.A.A74.
D$2.D4.A2.2A.A2.A.A2.2A.A.A38.A35.D$2.D4.A3.A.A2.A.A3.A.2A3.C4B17AC4B
5A4.AD34.D$2.D58.2AD33BD3.D$2.D26.C4B6AC4B16A.A2.A35.D$2.D59.4A35.D$2.
D98.D$2.D98.D$2.D98.D$2.D98.D$2.D59.A4.A33.D$2.D26.CB20ACB10AD3.AD32.
D$2.D59.3AD31BD3.D$2.D26.CB9ACB21ADA2.A33.D$2.D10.A3.A2.2A2.2A36.A.4A
33.D$2.D10.2A2.A.A2.A.A.A74.D$2.D10.A.A.A.A2.A.2A75.D$2.D10.A2.2A.A2.
A.A.A35.A4.A33.D$2.D10.A3.A2.2A2.A.A2.C4B17AC4B7AD3.AD32.D$2.D59.3AD31B
D3.D$2.D26.C4B6AC4B18ADA2.A33.D$2.D59.A.4A33.D$2.D98.D$2.D98.D$2.D98.
D$2.D98.D$2.D59.3A2.A4.A28.D$2.D26.CB20ACB10A2.3AD3.AD27.D$2.D60.AD2.
3AD26BD3.D$2.D26.CB9ACB21A2.3ADA2.A28.D$2.D4.A3.A.A3.A2.2A2.2A36.3A2.
A.4A28.D$2.D5.A.A2.2A2.A.A2.A.A.A74.D$2.D6.A3.A.A.A.A2.A.2A75.D$2.D5.
A.A2.A2.2A.A2.A.A.A35.3A2.A4.A28.D$2.D4.A3.A.A3.A2.2A2.A.A2.C4B17AC4B
7A2.3AD3.AD27.D$2.D60.AD2.3AD26BD3.D$2.D26.C4B6AC4B18A2.3ADA2.A28.D$2.
D59.3A2.A.4A28.D$2.D98.D$2.D98.D$2.D98.D$2.D98.D$2.D59.A38.D$2.D26.CB
32A.34A3.D$2.D59.3A28.A2.A4.D$2.D4.2A2.3A2.2A2.2A2.3A65.D2A.A4.D$2.D4.
A.A2.A2.A2.A.A.A.A69.3A4.D$2.D4.A.A2.A2.A2.A.A.A.2A75.D$2.D4.A.A2.A2.
A2.A.A.A.A76.D$2.D4.2A2.3A2.2A2.2A2.3A35.A38.D$2.D26.C4B29A.34A3.D$2.
D59.3A28.A2.A4.D$2.D89.D2A.A4.D$2.D91.3A4.D$2.D98.D$2.D98.D$2.D98.D$2.
100D!
@RULE SolidLogic
@TABLE
n_states:7
neighborhood:Moore
symmetries:Rotate4Reflect
var a={1,2,3}
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={4,5,6}
var b1=b
var b2=b
var b3=b
var b4=b
var b5=b
var b6=b
var b7=b
var b8=b
var c={0,1,2,3,4,5,6}
var c1=c
var c2=c
var c3=c
var c4=c
var c5=c
var c6=c
var c7=c
var c8=c
var d = {2,5}
var d1=d
var d2=d
var d3=d
var d4=d
var d5=d
var d6=d
var d7=d
var d8=d
var e={3,6}
var e1=e
var e2=e
var e3=e
var e4=e
var e5=e
var e6=e
var e7=e
var e8=e
var f={1,4}
var f1=f
var f2=f
var f3=f
var f4=f
var f5=f
var f6=f
var f7=f
var f8=f
1,0,1,d1,e1,0,0,1,0,1
1,0,3,2,a1,0,4,1,1,1
1,0,1,d1,d2,0,0,1,0,1
1,0,d1,d2,d3,0,0,1,0,1
1,0,e1,d1,d2,0,0,1,0,1
1,4,1,d1,e1,0,0,1,0,1
1,4,1,d1,d2,0,0,1,0,1
1,4,d1,d2,d3,0,0,1,0,1
1,4,e1,d1,d2,0,0,1,0,1
1,1,a1,0,2,2,a2,0,c1,1
2,2,3,0,2,3,1,0,c1,2
2,4,0,0,1,3,a1,0,0,2
2,4,1,2,2,0,0,2,c1,3
2,1,4,3,0,2,0,2,0,3
2,0,1,3,2,0,0,2,0,2
3,1,4,1,0,2,0,2,0,3
2,0,1,3,3,0,0,2,0,2
2,c1,0,0,0,0,0,0,0,3
2,1,0,0,0,1,0,0,0,3
3,2,0,1,4,1,0,3,0,2
2,2,0,1,4,3,0,3,0,2
2,1,0,4,1,2,2,0,0,3
1,0,2,0,2,0,0,c1,0,2
2,0,3,0,3,0,0,c1,0,3
2,0,1,0,3,0,0,2,0,3
1,0,2,0,1,0,0,0,0,2
1,0,2,0,4,0,0,1,0,2
2,0,2,0,4,0,0,c1,0,2
2,0,3,0,4,0,0,c1,0,3
4,2,0,0,a1,0,a2,0,0,5
2,0,2,0,5,0,0,c1,0,3
1,0,2,0,2,0,1,1,0,2
2,0,3,0,3,0,a1,a2,0,3
2,e1,c1,c2,c3,c4,c5,c6,c7,3
1,d1,c1,c2,c3,c4,c5,c6,c7,2
1,c1,c2,c3,c4,c5,c6,c7,c8,1
4,c1,c2,c3,c4,c5,c6,c7,c8,4
2,e1,c1,c2,c3,c4,c5,c6,c7,3
2,f1,c1,c2,c3,c4,c5,c6,c7,2
3,c1,c2,c3,c4,c5,c6,c7,c8,1
2,d1,c1,c2,c3,c4,c5,c6,c7,2
5,e1,c1,c2,c3,c4,c5,c6,c7,6
5,f1,c1,c2,c3,c4,c5,c6,c7,6
6,c1,c2,c3,c4,c5,c6,c7,c8,4
@COLORS
1 0 250 255
2 0 150 225
3 0 0 255
4 255 75 0
5 250 200 0
6 200 150 0
@NAMES
1 Wire
2 Signal
3 Signal Tail
4 Modifier State 0
5 Modifier State 1
6 Modifier State 2

[OogaBooga_]

Today I present Hexknight, a hexagonal neighborhood rule containing a whopping 6 different spaceship speeds Two of which are oblique.

Code: Select all

#C [[ ZOOM 2 GRID COLOR GRID 50 50 50 GRIDMAJOR 10 COLOR GRIDMAJOR 75 75 75 COLOR BACKGROUND 0 0 0 GPS 60 WIDTH 937 HEIGHT 600 ]]
x = 42, y = 82, rule = Hexknight
BA$.BA$2.B6$5.2D$5.3D$4.B3D$5.B31$21.A.B$22.2D$21.C2D$22.2D22$33.BA$35.
B$35.D4$36.2A$38.B$37.2A4$40.A$41.B$41.A!
@RULE Hexknight
@TABLE
n_states:6
neighborhood:Hexagonal
symmetries:Rotate6Reflect
var a={0,1,2,3,4}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var b={0,1,2,3,4,5}
var b1=b
var b2=b
var b3=b
var b4=b
var b5=b
var b6=b
var c={0,1,2,3}
var c1=c
var c2=c
var c3=c
var c4=c
var c5=c
var c6=c
2,1,0,3,0,0,0,3
1,1,0,2,0,0,0,1
0,1,2,0,0,0,0,3
0,2,3,0,0,0,0,1
1,3,3,0,0,0,0,2
3,1,3,0,0,0,0,1
1,3,0,0,0,0,0,4
0,1,3,3,0,0,0,2
3,3,0,0,0,0,0,4
0,3,0,3,0,0,0,1
0,3,3,0,3,0,0,3
1,3,4,0,0,0,0,1
0,1,4,0,0,0,0,1
0,2,4,0,0,0,0,2
2,1,0,4,0,0,0,3
0,2,3,3,0,0,0,2
2,4,0,0,0,0,0,3
2,1,0,1,0,0,0,4
3,1,4,0,0,0,0,4
4,1,3,0,3,1,0,2
0,3,4,3,0,0,0,2
3,4,0,0,0,0,0,1
2,1,1,2,1,1,0,3
1,1,2,2,0,0,0,3
3,1,2,0,2,1,0,3
2,1,2,1,0,0,0,1
2,4,2,4,0,0,0,4
4,2,0,2,0,0,0,4
0,4,2,0,1,0,0,4
3,4,4,0,0,0,0,1
4,3,4,0,0,0,0,1
4,3,0,3,0,0,0,3
0,1,2,1,0,0,0,2
2,1,3,1,0,0,0,2
2,3,0,3,0,0,0,2
0,4,2,0,2,0,0,2
4,2,2,0,0,0,0,2
2,2,4,0,0,0,0,1
2,2,1,1,2,0,0,4
0,3,3,0,0,0,0,4
4,4,0,0,4,0,0,4
0,4,4,0,0,0,0,2
0,4,4,4,4,4,4,5
0,4,4,4,4,4,0,4
4,1,4,4,4,4,4,4
4,5,4,c1,c2,c3,c4,4
4,5,c1,c2,c3,c4,c5,4
4,4,5,4,c1,c2,c3,4
4,4,4,a1,a2,a3,a4,4
0,4,4,1,a2,a3,a4,4
0,4,5,0,0,0,0,4
0,4,5,4,0,0,0,4
5,4,4,4,4,0,0,4
0,2,4,4,4,0,0,4
0,2,4,4,0,0,0,4
5,4,4,4,4,4,4,1
5,4,4,0,0,0,0,4
5,5,0,2,4,4,0,4
4,3,4,0,4,0,0,4
0,3,4,5,0,0,0,1
0,2,5,0,0,0,0,3
4,5,a1,a2,a3,a4,a5,5
5,4,a1,a2,a3,a4,a5,5
0,4,0,0,4,0,0,5
0,4,4,0,4,4,0,5
a,a1,a2,a3,a4,a5,a6,0
b,b1,b2,b3,b4,b5,b6,0
@COLORS
1  255 0 0
2 255 100 0
3 255 150 0
4 255 255 0
5 150 150 150
@NAMES
1 state 1
2 state 2
3 state 3
4 state 4
5 state 5

[OogaBooga_]

New 5S: 71c/1754o

Code: Select all

x = 3, y = 3, rule = B3aijkr4cj5ce6i/S2-ci3-aky4einrz5aj6i
3o$obo$2bo!

EDIT:

New 5S: (33,10)c/735

Code: Select all

x = 3, y = 3, rule = B3aijkr4j5ce6i/S2-ci3-aky4einrzc5jnea6ce
3o$obo$2bo!

New 5S (probably reducible): (52,23)c/1498

Code: Select all

x = 320, y = 96, rule = B3aijkr4cej5c6in/S2-ci3-aky4einrz5jn6e
28b3o$27bo3bo$27bo3bo$28bob2o$26b2o$26b2ob2o$28b4o$27bo2bo$27b2o18$4b
2o45bo2b3o$b2ob2ob2o41b3obo2bo$o2bo2bobo42b2o4bo$o4b2o42bobo2bo2bo$o2b
ob3o41b2ob2ob2o$b3o2bo45b2o2$32bo$30b5o$29bo5bo$29bo3bobo$29b2o2bo$31b
obo$31b3o$41bo2$41bo3$38bo2$36bo3bo248b2o$290b2o$37bobo237b2o11b2o$39b
ob2o233bobo$39b3o219bo13b2obo6bo2bo3b2o$40bo219b3o13b2o3bo3bob2o3b2o$
259bo2b2o13bo3b2o2bobo$259b2o2bo16b2o$260bob2o17bo$260bo9bo14b2ob2o$260b
2o7b4o13bo2bo$269bo2bo13b3o$261b3o4b2o2b2o$61b2o189b2o6b2ob2o3b2o2bo$
61b2o188bobob2o7bo4bob2o$63b2o185b2o3b2ob3o8b2o$64bo186b2ob2o3b2o$60b
o3bo187b3o$60b4o193b2o$61bo196b3obo$259b3obo$64b2o196bob2o49bo$49b2o13b
obo197bo49b3o$49bobo14b2o192b2o2b2o47b2obo$51b2o8bob2o3b2o190bo2b3o$40b
o7bob2o8bo3b2obo2bo15bo173b2o2bo$39b3o6b3o9b2o7bob2o14b3o171b3o53bobo
$38b2o2bo18bo10bo16bo172bo53bob2o$39bo2b2o24bo3bo14bobo226bob2o$40b3o
25b4o15b2o229bo$41bo27bo246b2o$316b2o14$66bo$67bob2o$67bo2bo$67b3o!

EDIT:

New 5S: 100c/3174o

Code: Select all

x = 3, y = 3, rule = B3aijkr4cej5ce6in/S2-ci3-aky4einrz5jea
3o$obo$2bo!

[OogaBooga_]

New post because previous was getting to long to easily edit/update.

New 5S: (26,7)c/432

Code: Select all

x = 3, y = 3, rule = B3aijkr4cej5ce6in/S2-ci3-aky4einrz5jea6e
3o$obo$2bo!

EDIT:

New 5S: (34,1)c/452

Code: Select all

x = 3, y = 3, rule = B3aijkr4cej5ce6in/S2-ci3-aky4einrz5ja6n
3o$obo$2bo!

Improved 5S 58c/3302d

Code: Select all

x = 3, y = 3, rule = B3aijkr4cej5ce6i/S2-ci3-aky4einrz5aj6e
3o$obo$2bo!

New 5S: (48,7)c/989

Code: Select all

x = 3, y = 3, rule = B3aijkr4cej5ce6i/S2-ci3-aky4einrzc5jae7e
3o$obo$2bo!

Improved 5S 15c/2064d

Code: Select all

x = 3, y = 3, rule = B3aijkr4ej5ce6in/S2-ci3-aky4einrz5jc6n
3o$obo$2bo!

[yyh_baboon]

Rake:(43,34)c/1457

Code: Select all

 x = 3, y = 3, rule = B3aijkr4cej5c6in8/S2-ci3-aky4einrz5jn6i
3o$obo$2bo!

Maybe you can corderize it

[OogaBooga_]

Rake:(43,34)c/1457

Code: Select all

 x = 3, y = 3, rule = B3aijkr4cej5c6in8/S2-ci3-aky4einrz5jn6i
3o$obo$2bo!

Maybe you can corderize it

I'm not sure if this one can be corderized...

On a different note; found a new 5S: (27,8)c/525

Code: Select all

x = 3, y = 3, rule = B3aijkr4cej5ce6c/S2-ci3-aky4einrz5aejk6i7
3o$obo$2bo!

EDIT:

New 5S: (9,1)c/686

Code: Select all

x = 3, y = 3, rule = B3aijkr4j5e6c/S2-ci3-aky4einrzc5ajk6en78
3o$obo$2bo!

New 5S: 28c/3362 (unsimplified)

Code: Select all

x = 3, y = 3, rule = B3aijkr4j5ce6ci/S2-ci3-aky4einrzc5aejk6ie7e
3o$obo$2bo!

EDIT:

New 5S: (35,18)c/709

Code: Select all

x = 77, y = 65, rule = B3aijkr4ej5ce6c8/S2-ci3-aky4ceinrz5aejk6n
73b3o$72bo2bo$72bo2bo$72b2o3$74b3o$72b2o2bo$73b3o$74bo30$b3o$o2bo$o2b
o$2o2$69bo$2b3o62b3o$2o2bo62bo$b3o$2bo14$34bo$32b3o$32bo!

New 5S: (23,11)c/1813

Code: Select all

x = 3, y = 3, rule = B3aijr4ej5ce6ci/S2-ci3-aky4einrzc5aejk6e
3o$obo$2bo!

EDIT:

New 5S: (22,4)c/647

Code: Select all

x = 3, y = 3, rule = B3aijkr4j5ce6c/S2-ci3-aky4einrz5jkae6eni78
3o$obo$2bo!

New 5S: (41,9)c/370

Code: Select all

x = 3, y = 3, rule = B3aikjr4j5e6cn/S2-ci3-aky4einrz5jk
3o$obo$2bo!

[OogaBooga_]

2-dimensional sqrt growth

Code: Select all

x = 3, y = 3, rule = B3aijr4j5e6n/S2-ci3-aky4ceinrz5jkc6e
3o$obo$2bo!

[OogaBooga_]

Improved 5S: (14,12)c/387

Code: Select all

x = 3, y = 3, rule = B3aijr4j5c6i/S2-ci3-ak4einrz5jce
3o$obo$2bo!

EDIT:

New 5S: (28,18)c/441

Code: Select all

x = 3, y = 3, rule = B3aijr4j5c6c/S2-ci3-aky4ceinrz5jc
3o$obo$2bo!

EDIT:

Improved 5S: (41,9)c/370

Code: Select all

x = 3, y = 3, rule = B3aijkr4j5e6cn/S2-ci3-aky4einrz5jk6e7
3o$obo$2bo!

EDIT:

New 5S: (74,25)c/974

Code: Select all

x = 91, y = 210, rule = B3aijr4cj5c6cin/S2-ci3-ak4einrz5aj6i
77b3o$76bo2bo$76bo3b2o$75b2o4bo$76bobo$76bo3bo$76b3o10$24bo$23bo$24bo
$23bobo20bo$24b2o18b5o26bo$47b2o25b2o$45bo3bo23b2o5b2o7b2o$45b2ob2o24b
2o5b2o5b2o$45bo2b2o30b2o$46b3o30b3o$47bo5$43b3o19b3o$43bobo18b2o$42bo
2bo3b2o14bo2b2o$42bo6bo2bo13b3o$43b2o5b2ob2o12bo$44bo9bo$52bobo$46bo5b
2o$46b3o3$46b3o4$60bo$59b4o$57b3ob2o$56b4o$55b2o2bo$56b2obo$58bo3$51b
o$49b2ob2o$50bobo$50b3o76$33bo$32b3o$31b2o2bo$31b2o$31bo2b2obo$28b3o3b
2ob2o$27b3o$26b2o$27bo2b2o5b3o$28bob2o2bo3b2o$33b2obo5bo$30bo2b2o6b3o
$31b3o3b2o3bo$32bo5b2obo$39b3o33b2o4bo$40bo32b2ob2o3b2o$73bo2bo5b2o$73b
o2bo2bo2bo$74b2o3b3o$80bo3$36bo$34bo9bo$34bo8b3o$34bo8bob2o2b2o$34b2o
bo3b2o5bo2b2o21b3ob2o$35b3o2b2o5b2o3bo24bo2bobo$36bo4bobo3bo4bo27b3o$
42b2o3b5o25b2o$48b2o$79b3o$77bob2o$77b3o10$35bo$34b3o$33b2o2bo$33bo2b
2o$32b2o4bo$31b2o3b3o$32b2o37b2o$32b2o37b2o5bo$78b3o$77bo2bo$57b3o17b
ob2o$57bo19b2o$59b2o$55b2o$56bo$56bo2b2o$56bo3bo$57b3o3$66bo$64b2obo$
63b2o2bo$64bobo$64b3o4$o14b2o$15bo2bo$18bo$o14b2o$15b2o!

EDIT:

New 5S: (28,1)c/818

Code: Select all

x = 34, y = 40, rule = B3aijr4j5c6in/S2-ci3-ak4ceinrz5jn7
b3o$bobo$3bo$3o2$2obo$b3o$2bo20$31bo$31b3o$33bo7$28b2o$28bobo$31bo$30b2o!

New 5S: (42,33)c/752

Code: Select all

x = 61, y = 47, rule = B3aijr4j5c6cin/S2-ci3-ak4ceinrz5jn6i
36b3o$36bobo$36bobo$35b2o10$38b2o$37bobo$23bo13bo$20b4o13b3o$20bo19bo
$20b3o4$45b2o$46b2o4$59b2o$56b2obo$37b2o18b3o$37b3o2bo15bo$38bobobo$37b
ob3o$37b2o2bo$3o35b3o$obo36bo$2o11b2o$12b2ob2o$13bo2bo$7bob2o2bo2bo$9b
o4b2o$11bo$10b2o$2b5o$2bo2bo$3b3o$4bo!

New 5S: (47,32)c/856

Code: Select all

x = 0, y = 0, rule = B3aijr4j5ce6n/S2-ci3-ak4ceinrz5cjkn
22bo3b2o$23bo3bo$23bo2bo$24b3o5$2o$bo$b2o!

New 5S: 75c/3454d

Code: Select all

x = 3, y = 3, rule = B3aijr4j5ce6n/S2-ci3-ak4ceinrz5ckjne
3o$obo$2bo!

New 5S: 95c/2716d

Code: Select all

x = 3, y = 3, rule = B3aijr4jc5ce6cn/S2-ci3-aky4einrz5ckj7c
3o$obo$2bo!

[OogaBooga_]

New 5S: 15c/2722d

Code: Select all

x = 3, y = 3, rule = B3aijr4j5e6in8/S2-ci3-ak4einrz5aej6i
3o$obo$2bo!

New 5S: (41,30)c/3755

Code: Select all

x = 109, y = 120, rule = B3aijr4cej5ce6in/S2-ci3-ak4ceinrz5ej6e7c8
95bo3bo$95bo2b3o$100bo$100b2o$97bo2bo$98b3o15$106b2o$107bo$107b2o15$74b
o$72b3o$72bo22$76b2o$77bo$77b2o17$23bo3bo$23bo2b3o$28bo$28b2o$25bo2bo
$26b3o32$2bo$3o$o!

EDIT:

New 5S: (21,15)c/1995

Code: Select all

x = 3, y = 3, rule = B3aijr4cej5c6in/S2-ci3-ak4einrz5ajn6cin8
3o$obo$2bo!

New 5S: (54,10)c/1647

Code: Select all

x = 3, y = 3, rule = B3aijr4ej5c6in/S2-ci3-ak4ceinrz5ajn6i
3o$obo$2bo!

New 5S: (39,18)c/715

Code: Select all

x = 3, y = 3, rule = B3aijr4ej5c6in/S2-ci3-ak4ceinrz5ajn6n
3o$obo$2bo!

EDIT:

Improved 5S (46 cells less than previous): (22,11)c/442

Code: Select all

x = 3, y = 4, rule = B3aijr4j5c6n8/S2-ci3-aky4ceinrz5cjk6i7c
bo$3o$obo$2bo!

New 5S: (4,3)c/1333

Code: Select all

x = 3, y = 4, rule = B3aijr4j5c6n8/S2-ci3-aky4einrz5cjk6ie
3o$obo$2bo!

[OogaBooga_]

Accidentally discovered this super weird fractal making replicator:

Code: Select all

x = 3, y = 3, rule = B3-cny4ie5cy6n/S2-ci3-an4izq5ia6na
3o$obo$2bo!

[OogaBooga_]

New 5S: (53,1)c/494

Code: Select all

x = 73, y = 207, rule = B2e3-knqr4jkqtyz5q78/S1c2ae3ijkn4-ceqrt5ckqy6k7e
69b2o$69b2o2$58b2o9b2obo$58b2o9bobo2$56bob2o$57bobo$69bobo$69b2obo2$57b
obo9b2o$56bob2o9b2o2$58b2o$58b2o6$32b2o$32b2o2$21b2o9b2obo$21b2o9bobo
$70bobo$19bob2o32bo2bo11b3o$20bobo31bo2b2o12b2o$32bobo21bo13bo$32b2ob
o34b2o2$20bobo9b2o$19bob2o9b2o2$21b2o$21b2o2$61b2o$62bo$63bo$61bo$62b
o5$33bobo$18bo2bo11b3o$17bo2b2o12b2o$19bo13bo$33b2o8$24b2o$25bo$26bo$
24bo$25bo8$4bo$5bo$3b2o51bo$4b2o48bo2b2o$55bo2bo3$4b2o$3b2o$5bo2$5b2o
$6bo$5b2o3$58b2o$58b2o2$5b2o49bob2o$6bo50bobo$5b2o2$5bo13bo$3b2o12bo2b
2o35bobo$4b2o12bo2bo34bob2o2$58b2o$3b3o52b2o$3b2o$3ob2o$b4o$bo2bo$2o4$
21b2o$21b2o2$19bob2o$20bobo4$20bobo$19bob2o2$21b2o$21b2o2$29b2o$30bo$
30b2o$29b2o48$51b2o$52bo2bo$52b4o$51b3ob2o$54b2o$54b3o3$55b2o$46bo7b2o
$44b2o2bo7bo$44bo2bo$56b2o$57bo$56b2o6$56b2o$57bo$56b2o2$56bo$54b2o$55b
2o4$55b2o$54b2o$56bo$55bo!

New 5S: 65c/2533o

Code: Select all

x = 38, y = 3, rule = B2i3-jkq4qt5cny7c/S2-ci3-aeky4ciz5cjq6-ci7c8
b3o30b3o$o2bo30bo2bo$2o34b2o!

New 5S: (33,13)c/968

Code: Select all

x = 4, y = 3, rule = B2i3-jkq4qt5cny7c/S2-ci3-aeky4izc5cjq6eik7e
3o$o2bo$2b2o!

New 5S: (9,2)c/759

Code: Select all

x = 4, y = 3, rule = B2i3-jkq4qt5cny7c/S2-ci3-aeky4izc5cjq6eik7
3o$o2bo$2b2o!

New 5S: (52,3)c/2295

Code: Select all

x = 4, y = 3, rule = B2i3-jkq4qt5ceny7c/S2-ci3-aeky4izc5jqce6ai7
3o$o2bo$2b2o!

New 5S: (62,10)c/476 (unsimplified)

Code: Select all

x = 4, y = 3, rule = B2i3-jkq4qt5cny7c/S2-ci3-aeky4izc5jqce6ank7c
3o$o2bo$2b2o!

New 5S: 25c/3558d

Code: Select all

x = 4, y = 3, rule = B2i3-jkq4qt5cny6i7c8/S2-ci3-aeky4iz5jq6an7e
3o$o2bo$2b2o!

[OogaBooga_]

New rulespace

New 5S: (40,5)c/266

Code: Select all

x = 3, y = 3, rule = B2i3-jkyn4qz5cy6n/S2aek3-aky4iz
3o$obo$2bo!

[NimbleRogue]

Hi OogaBooga, both of these discoveries are incredible and deserve much more attention. Would you mind posting more of your stuff in Rules with interesting dynamics interesting replicators, or other topics in the OCA subforum? These are all cool and I wouldn't have noticed if not for yyh_baboon's quote of your 2d Turing machine in the Langston's Ant thread

2-dimensional sqrt growth

Code: Select all

x = 3, y = 3, rule = B3aijr4j5e6n/S2-ci3-aky4ceinrz5jkc6e
3o$obo$2bo!

Accidentally discovered this super weird fractal making replicator:

Code: Select all

x = 3, y = 3, rule = B3-cny4ie5cy6n/S2-ci3-an4izq5ia6na
3o$obo$2bo!

Edit 1:
Crazily even if the positions of the "cells" (Still lives) are messed with the engine will still flip every cell twice even if it takes a wonky path . This means that as the TM grows it's path stays constant as flipping the cells twice leaves everything unchanged

Code: Select all

x = 1645, y = 1515, rule = B3aijr4j5e6n/S2-ci3-aky4ceinrz5cjk6e
685bob2o72b2obo50bob2o$685b2obo72bob2o50b2obo2$685b2obo72bob2o50b2obo$
685bob2o72b2obo50bob2o31$730b2ob2o125b2ob2o$731bobo127bobo$730bo3bo
125bo3bo$730b2ob2o125b2ob2o8$650b2ob2o140b2ob2o$650bo3bo140bo3bo$651bo
bo142bobo$650b2ob2o140b2ob2o16$620bob2o72b2obo50bob2o72b2obo50bob2o72b
2obo$620b2obo72bob2o50b2obo72bob2o50b2obo72bob2o2$620b2obo72bob2o50b2o
bo72bob2o50b2obo72bob2o$620bob2o72b2obo50bob2o72b2obo50bob2o72b2obo31$
650b2ob2o140b2ob2o110b2ob2o$651bobo142bobo112bobo$650bo3bo140bo3bo110b
o3bo$650b2ob2o140b2ob2o110b2ob2o8$585b2ob2o140b2ob2o125b2ob2o125b2ob2o
$585bo3bo140bo3bo125bo3bo125bo3bo$586bobo142bobo127bobo127bobo$585b2ob
2o140b2ob2o125b2ob2o125b2ob2o16$555bob2o72b2obo50bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo$555b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2o
bo72bob2o2$555b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o$
555bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo31$585b2ob2o
140b2ob2o125b2ob2o125b2ob2o$586bobo142bobo127bobo127bobo$585bo3bo140bo
3bo125bo3bo125bo3bo$585b2ob2o140b2ob2o125b2ob2o125b2ob2o8$520b2ob2o
125b2ob2o140b2ob2o110b2ob2o140b2ob2o$520bo3bo125bo3bo140bo3bo110bo3bo
140bo3bo$521bobo127bobo142bobo112bobo142bobo$520b2ob2o125b2ob2o140b2ob
2o110b2ob2o140b2ob2o16$490bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bo
b2o72b2obo50bob2o72b2obo$490b2obo72bob2o50b2obo72bob2o50b2obo72bob2o
50b2obo72bob2o50b2obo72bob2o2$490b2obo72bob2o50b2obo72bob2o50b2obo72bo
b2o50b2obo72bob2o50b2obo72bob2o$490bob2o72b2obo50bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo31$520b2ob2o125b2ob2o140b2ob2o110b
2ob2o140b2ob2o$521bobo127bobo142bobo112bobo142bobo$520bo3bo125bo3bo
140bo3bo110bo3bo140bo3bo$520b2ob2o125b2ob2o140b2ob2o110b2ob2o140b2ob2o
8$455b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$455bo3bo125bo
3bo140bo3bo125bo3bo125bo3bo125bo3bo$456bobo127bobo142bobo127bobo127bob
o127bobo$455b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o16$425b
ob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50b
ob2o72b2obo$425b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o
50b2obo72bob2o50b2obo72bob2o2$425b2obo72bob2o50b2obo72bob2o50b2obo72bo
b2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o$425bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo31$455b
2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$456bobo127bobo142bo
bo127bobo127bobo127bobo$455bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo
3bo$455b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o8$390b2ob2o
125b2ob2o125b2ob2o140b2ob2o110b2ob2o140b2ob2o125b2ob2o$390bo3bo125bo3b
o125bo3bo140bo3bo110bo3bo140bo3bo125bo3bo$391bobo127bobo127bobo142bobo
112bobo142bobo127bobo$390b2ob2o125b2ob2o125b2ob2o140b2ob2o110b2ob2o
140b2ob2o125b2ob2o16$360bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob
2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo$360b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b
2obo72bob2o2$360b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o
50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o$360bob2o72b2obo50bob2o72b2o
bo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2o
bo31$390b2ob2o125b2ob2o125b2ob2o140b2ob2o110b2ob2o140b2ob2o125b2ob2o$
391bobo127bobo127bobo142bobo112bobo142bobo127bobo$390bo3bo125bo3bo125b
o3bo140bo3bo110bo3bo140bo3bo125bo3bo$390b2ob2o125b2ob2o125b2ob2o140b2o
b2o110b2ob2o140b2ob2o125b2ob2o8$325b2ob2o125b2ob2o125b2ob2o140b2ob2o
125b2ob2o125b2ob2o125b2ob2o125b2ob2o$325bo3bo125bo3bo125bo3bo140bo3bo
125bo3bo125bo3bo125bo3bo125bo3bo$326bobo127bobo127bobo142bobo127bobo
127bobo127bobo127bobo$325b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o
125b2ob2o125b2ob2o125b2ob2o16$295bob2o72b2obo50bob2o72b2obo50bob2o72b
2obo50bob2o72b2obo50bob2o126bob2o72b2obo50bob2o72b2obo50bob2o72b2obo$
295b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo126b2o
bo72bob2o50b2obo72bob2o50b2obo72bob2o$893b3o$295b2obo72bob2o50b2obo72b
ob2o50b2obo72bob2o50b2obo72bob2o50b2obo75b2o49b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o$295bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b
2obo50bob2o126bob2o72b2obo50bob2o72b2obo50bob2o72b2obo6$880b3o$879bo2b
o$879b2obo3$884bo$884bo$882bobo$881b2o2bo$882b2o2bo$885bobo$878b2o2b2o
3b2o$878b2o2bo3b2o$877b2o7bo$878b2o$879bobo10$325b2ob2o125b2ob2o125b2o
b2o140b2ob2o110b2ob2o140b2ob2o125b2ob2o125b2ob2o$326bobo127bobo127bobo
142bobo112bobo142bobo127bobo127bobo$325bo3bo125bo3bo125bo3bo140bo3bo
110bo3bo140bo3bo125bo3bo125bo3bo$325b2ob2o125b2ob2o125b2ob2o140b2ob2o
110b2ob2o140b2ob2o125b2ob2o125b2ob2o8$260b2ob2o125b2ob2o125b2ob2o125b
2ob2o140b2ob2o110b2ob2o140b2ob2o125b2ob2o125b2ob2o$260bo3bo125bo3bo
125bo3bo125bo3bo140bo3bo110bo3bo140bo3bo125bo3bo125bo3bo$261bobo127bob
o127bobo127bobo142bobo112bobo142bobo127bobo127bobo$260b2ob2o125b2ob2o
125b2ob2o125b2ob2o140b2ob2o110b2ob2o140b2ob2o125b2ob2o125b2ob2o16$230b
ob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo
126b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo$230b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o126bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o2$230b2obo72bob2o50b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o126bob2o50b2obo72bob2o50b2obo
72bob2o50b2obo72bob2o$230bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob
2o72b2obo50bob2o72b2obo126b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b
2obo11$880bob2o$880b2obo2$880b2obo$880bob2o16$260b2ob2o125b2ob2o125b2o
b2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$261bobo127bo
bo127bobo127bobo142bobo127bobo127bobo127bobo127bobo$260bo3bo125bo3bo
125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$260b2ob2o125b
2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o8$
195b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob
2o125b2ob2o125b2ob2o$195bo3bo125bo3bo125bo3bo125bo3bo140bo3bo125bo3bo
125bo3bo125bo3bo125bo3bo125bo3bo$196bobo127bobo127bobo127bobo142bobo
127bobo127bobo127bobo127bobo127bobo$195b2ob2o125b2ob2o125b2ob2o125b2ob
2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o16$165bob2o72b
2obo50bob2o72b2obo50bob2o72b2obo180bob2o72b2obo50bob2o126bob2o72b2obo
50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo$165b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o180b2obo72bob2o50b2obo126b2obo72bob2o50b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o2$165b2obo72bob2o50b2obo72bob2o50b2obo72bob2o
180b2obo72bob2o50b2obo126b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2o
bo72bob2o$165bob2o72b2obo50bob2o72b2obo50bob2o72b2obo180bob2o72b2obo
50bob2o126bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo11$
555bob2o72b2obo256b2obo$555b2obo72bob2o256bob2o2$555b2obo72bob2o256bob
2o$555bob2o72b2obo256b2obo16$195b2ob2o125b2ob2o125b2ob2o125b2ob2o140b
2ob2o110b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$196bobo127bobo127bo
bo127bobo142bobo112bobo142bobo127bobo127bobo127bobo$195bo3bo125bo3bo
125bo3bo125bo3bo140bo3bo110bo3bo140bo3bo125bo3bo125bo3bo125bo3bo$195b
2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o110b2ob2o140b2ob2o125b2ob2o
125b2ob2o125b2ob2o8$130b2ob2o125b2ob2o125b2ob2o140b2ob2o110b2ob2o140b
2ob2o110b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$130bo3bo125bo3bo
125bo3bo140bo3bo110bo3bo140bo3bo110bo3bo140bo3bo125bo3bo125bo3bo125bo
3bo$131bobo127bobo127bobo142bobo112bobo142bobo112bobo142bobo127bobo
127bobo127bobo$130b2ob2o125b2ob2o125b2ob2o140b2ob2o110b2ob2o140b2ob2o
110b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o16$100bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo126b2obo50bob2o72b2obo126b2obo50bob
2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo$100b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o126bob2o50b2obo72bob2o126bob2o
50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o2$100b2obo72bo
b2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o126bob2o50b2obo72bob2o
126bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o$100bo
b2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo126b2obo50bob2o72b
2obo126b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo
11$620bob2o256bob2o$620b2obo256b2obo2$620b2obo256b2obo$620bob2o256bob
2o16$130b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o
125b2ob2o125b2ob2o125b2ob2o125b2ob2o$131bobo127bobo127bobo127bobo127bo
bo127bobo142bobo127bobo127bobo127bobo127bobo$130bo3bo125bo3bo125bo3bo
125bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$130b
2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o
125b2ob2o125b2ob2o125b2ob2o8$65b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2o
b2o125b2ob2o110b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$65b
o3bo125bo3bo125bo3bo125bo3bo140bo3bo125bo3bo110bo3bo140bo3bo125bo3bo
125bo3bo125bo3bo125bo3bo$66bobo127bobo127bobo127bobo142bobo127bobo112b
obo142bobo127bobo127bobo127bobo127bobo$65b2ob2o125b2ob2o125b2ob2o125b
2ob2o140b2ob2o125b2ob2o110b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o
125b2ob2o16$35bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo
50bob2o72b2obo50bob2o72b2obo180bob2o72b2obo50bob2o72b2obo50bob2o72b2ob
o50bob2o72b2obo50bob2o72b2obo$35b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o180b2obo72bob2o50b2obo72bo
b2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o2$35b2obo72bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o180b2ob
o72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o$35bob
2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob
2o72b2obo180bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bo
b2o72b2obo11$815bob2o72b2obo$815b2obo72bob2o2$815b2obo72bob2o$815bob2o
72b2obo16$65b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob
2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$66bobo127bobo127bobo
127bobo127bobo127bobo142bobo127bobo127bobo127bobo127bobo127bobo$65bo3b
o125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo
3bo125bo3bo125bo3bo$65b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2o
b2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o8$2ob2o125b2o
b2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b
2ob2o125b2ob2o125b2ob2o125b2ob2o$o3bo125bo3bo125bo3bo125bo3bo125bo3bo
125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$bobo
127bobo127bobo127bobo127bobo127bobo142bobo127bobo127bobo127bobo127bobo
127bobo127bobo$2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b
2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o16$46b2obo
50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo
50bob2o126bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob
2o72b2obo50bob2o72b2obo$46bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bo
b2o50b2obo72bob2o50b2obo72bob2o50b2obo126b2obo72bob2o50b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o2$46bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo
126b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o$46b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bo
b2o72b2obo50bob2o72b2obo50bob2o126bob2o72b2obo50bob2o72b2obo50bob2o72b
2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo11$826b2obo$826bob2o2$
826bob2o$826b2obo16$2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o
125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$bobo
127bobo127bobo127bobo127bobo127bobo127bobo142bobo127bobo127bobo127bobo
127bobo127bobo$o3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo
140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$2ob2o125b2ob2o125b2ob
2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b
2ob2o125b2ob2o125b2ob2o8$65b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o
125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob
2o$65bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125b
o3bo125bo3bo125bo3bo125bo3bo125bo3bo$66bobo127bobo127bobo127bobo127bob
o127bobo142bobo127bobo127bobo127bobo127bobo127bobo127bobo$65b2ob2o125b
2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o
125b2ob2o125b2ob2o125b2ob2o125b2ob2o31$35bob2o72b2obo50bob2o72b2obo50b
ob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50b
ob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50b
ob2o$35b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo2$35b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo$35bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bo
b2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bo
b2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o16$65b2ob2o125b2ob2o125b
2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o
125b2ob2o125b2ob2o$66bobo127bobo127bobo127bobo127bobo127bobo142bobo
127bobo127bobo127bobo127bobo127bobo$65bo3bo125bo3bo125bo3bo125bo3bo
125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$65b2o
b2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b
2ob2o125b2ob2o125b2ob2o125b2ob2o8$130b2ob2o140b2ob2o125b2ob2o125b2ob2o
125b2ob2o125b2ob2o110b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob
2o$130bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo110bo3bo125bo3bo
125bo3bo125bo3bo125bo3bo140bo3bo$131bobo142bobo127bobo127bobo127bobo
127bobo112bobo127bobo127bobo127bobo127bobo142bobo$130b2ob2o140b2ob2o
125b2ob2o125b2ob2o125b2ob2o125b2ob2o110b2ob2o125b2ob2o125b2ob2o125b2ob
2o125b2ob2o140b2ob2o16$696b2obo$696bob2o2$696bob2o$696b2obo11$100bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o126bob2o72b2ob
o50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2ob
o50bob2o$100b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b
2obo126b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo2$100b2obo72bob2o50b2obo72bob2o50b2obo72bo
b2o50b2obo72bob2o50b2obo126b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo$100bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o126bob2o72b2obo50bob2o72b2ob
o50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o16$
130b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob
2o125b2ob2o125b2ob2o125b2ob2o$131bobo127bobo127bobo127bobo127bobo142bo
bo127bobo127bobo127bobo127bobo127bobo$130bo3bo125bo3bo125bo3bo125bo3bo
125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$130b2ob2o125b
2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o
125b2ob2o125b2ob2o8$195b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b
2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$195bo3bo125bo3bo
125bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo
3bo$196bobo127bobo127bobo127bobo127bobo142bobo127bobo127bobo127bobo
127bobo127bobo$195b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o
125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o31$165bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o$165b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo2$
165b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo$165bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50b
ob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50b
ob2o72b2obo50bob2o16$195b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o140b
2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$196bobo127bobo127bobo127bobo
127bobo142bobo127bobo127bobo127bobo127bobo$195bo3bo125bo3bo125bo3bo
125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$195b2ob2o125b
2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o
125b2ob2o8$260b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b
2ob2o125b2ob2o125b2ob2o125b2ob2o$260bo3bo125bo3bo125bo3bo125bo3bo140bo
3bo125bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$261bobo127bobo127bobo127bo
bo142bobo127bobo127bobo127bobo127bobo127bobo$260b2ob2o125b2ob2o125b2ob
2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o31$
230bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2ob
o50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o$230b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo2$230b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo$230bob2o72b2o
bo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2o
bo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o16$260b2ob2o125b2ob
2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$261b
obo127bobo127bobo127bobo142bobo127bobo127bobo127bobo127bobo$260bo3bo
125bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo125bo3bo$260b
2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o
125b2ob2o8$325b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b
2ob2o125b2ob2o125b2ob2o$325bo3bo125bo3bo125bo3bo125bo3bo140bo3bo125bo
3bo125bo3bo125bo3bo125bo3bo$326bobo127bobo127bobo127bobo142bobo127bobo
127bobo127bobo127bobo$325b2ob2o125b2ob2o125b2ob2o125b2ob2o140b2ob2o
125b2ob2o125b2ob2o125b2ob2o125b2ob2o31$295bob2o72b2obo50bob2o72b2obo
50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo
50bob2o72b2obo50bob2o$295b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2o
bo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2o
bo2$295b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo$295bob2o72b2o
bo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2o
bo50bob2o72b2obo50bob2o72b2obo50bob2o16$325b2ob2o125b2ob2o125b2ob2o
125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$326bobo127bobo127bobo
127bobo142bobo127bobo127bobo127bobo$325bo3bo125bo3bo125bo3bo125bo3bo
140bo3bo125bo3bo125bo3bo125bo3bo$325b2ob2o125b2ob2o125b2ob2o125b2ob2o
140b2ob2o125b2ob2o125b2ob2o125b2ob2o8$390b2ob2o125b2ob2o125b2ob2o140b
2ob2o125b2ob2o125b2ob2o125b2ob2o125b2ob2o$390bo3bo125bo3bo125bo3bo140b
o3bo125bo3bo125bo3bo125bo3bo125bo3bo$391bobo127bobo127bobo142bobo127bo
bo127bobo127bobo127bobo$390b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o
125b2ob2o125b2ob2o125b2ob2o31$360bob2o72b2obo50bob2o72b2obo50bob2o72b
2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o$
360b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo2$360b2obo72bob2o50b2obo72bob2o
50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o
50b2obo$360bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob
2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o16$390b2ob2o125b2ob2o125b
2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$391bobo127bobo127bobo142bobo
127bobo127bobo127bobo$390bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo
125bo3bo$390b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob
2o8$455b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$
455bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo125bo3bo$456bobo127bob
o127bobo142bobo127bobo127bobo127bobo$455b2ob2o125b2ob2o125b2ob2o140b2o
b2o125b2ob2o125b2ob2o125b2ob2o31$425bob2o72b2obo50bob2o72b2obo50bob2o
72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o$425b2obo72bob
2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob
2o50b2obo2$425b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o
50b2obo72bob2o50b2obo72bob2o50b2obo$425bob2o72b2obo50bob2o72b2obo50bob
2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o16$455b2ob2o
125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o$456bobo127bobo127bobo
142bobo127bobo127bobo$455bo3bo125bo3bo125bo3bo140bo3bo125bo3bo125bo3bo
$455b2ob2o125b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o8$520b2ob2o125b
2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o$520bo3bo125bo3bo140bo3bo125b
o3bo125bo3bo125bo3bo$521bobo127bobo142bobo127bobo127bobo127bobo$520b2o
b2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o125b2ob2o31$490bob2o72b2obo50bo
b2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o$490b2obo
72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo
2$490b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bo
b2o50b2obo$490bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo
50bob2o72b2obo50bob2o16$520b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o$
521bobo127bobo142bobo127bobo127bobo$520bo3bo125bo3bo140bo3bo125bo3bo
125bo3bo$520b2ob2o125b2ob2o140b2ob2o125b2ob2o125b2ob2o8$585b2ob2o125b
2ob2o140b2ob2o125b2ob2o125b2ob2o$585bo3bo125bo3bo140bo3bo125bo3bo125bo
3bo$586bobo127bobo142bobo127bobo127bobo$585b2ob2o125b2ob2o140b2ob2o
125b2ob2o125b2ob2o31$555bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob
2o72b2obo50bob2o$555b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72b
ob2o50b2obo2$555b2obo72bob2o50b2obo72bob2o50b2obo72bob2o50b2obo72bob2o
50b2obo$555bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob
2o16$585b2ob2o125b2ob2o140b2ob2o125b2ob2o$586bobo127bobo142bobo127bobo
$585bo3bo125bo3bo140bo3bo125bo3bo$585b2ob2o125b2ob2o140b2ob2o125b2ob2o
8$650b2ob2o140b2ob2o125b2ob2o125b2ob2o$650bo3bo140bo3bo125bo3bo125bo3b
o$651bobo142bobo127bobo127bobo$650b2ob2o140b2ob2o125b2ob2o125b2ob2o31$
620bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o$620b2obo72bob2o50b
2obo72bob2o50b2obo72bob2o50b2obo2$620b2obo72bob2o50b2obo72bob2o50b2obo
72bob2o50b2obo$620bob2o72b2obo50bob2o72b2obo50bob2o72b2obo50bob2o16$
650b2ob2o140b2ob2o125b2ob2o$651bobo142bobo127bobo$650bo3bo140bo3bo125b
o3bo$650b2ob2o140b2ob2o125b2ob2o8$715b2ob2o140b2ob2o125b2ob2o$715bo3bo
140bo3bo125bo3bo$716bobo142bobo127bobo$715b2ob2o140b2ob2o125b2ob2o31$
685bob2o72b2obo50bob2o72b2obo50bob2o$685b2obo72bob2o50b2obo72bob2o50b
2obo2$685b2obo72bob2o50b2obo72bob2o50b2obo$685bob2o72b2obo50bob2o72b2o
bo50bob2o16$715b2ob2o140b2ob2o$716bobo142bobo$715bo3bo140bo3bo$715b2ob
2o140b2ob2o8$795b2ob2o125b2ob2o$795bo3bo125bo3bo$796bobo127bobo$795b2o
b2o125b2ob2o31$750bob2o72b2obo50bob2o$750b2obo72bob2o50b2obo2$750b2obo
72bob2o50b2obo$750bob2o72b2obo50bob2o!

[AforAmpere]

2-dimensional sqrt growth

Code: Select all

x = 3, y = 3, rule = B3aijr4j5e6n/S2-ci3-aky4ceinrz5jkc6e
3o$obo$2bo!

Interestingly this is actually t^(2/3) in population (or cbrt growth if you just want the growth in width) so this is arguably even more interesting than sqrt.

[OogaBooga_]

New rulespace

New 5S: 33c/2554d

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6in/S2aek3-ac4iz6c
3o$obo$2bo!

Improved 5S: 26c/2384o

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6n/S2aek3-ac4iz6kn
3o$obo$2bo!

New 5S: 85c/2980d

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6n/S2aek3-ac4iz6ain78
3o$obo$2bo!

New 5S: 28c/5290

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6n/S2aek3-ac4iz6ain7e8
3o$obo$2bo!

New 5S: (37,17)c/575

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6n/S2aek3-ac4ize6ain7c
3o$obo$2bo!

New 5S: 81c/3238d

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6in8/S2aek3-ac4izc6ac
3o$obo$2bo!

New 5S: (11,9)c/536

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4ie5cr6n/S2aek3-ac4iz6a7
3o$obo$2bo!

Improved 5S: (16,8)c/363

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4ie5cr6in/S2aek3-ac4iz5e6ai
3o$obo$2bo!

New 5S: (34,2)c/773

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6n/S2aek3-ac4iz5ce6a7
3o$obo$2bo!

New 5S: (24,2)c/603

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4i5cr6in/S2aek3-ac4iz5ce6ak7e
3o$obo$2bo!

New 5S: (29,16)c/526

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4ie5cr6in/S2aek3-ac4izc5ce6an7c
3o$obo$2bo!

New 5S: (21,1)c/647

Code: Select all

x = 3, y = 3, rule = B2n3-jkny4ie5cr6n8/S2aek3-ac4izc5cek6ak
3o$obo$2bo!