Alternating rules

[eRroR_6o6]

More than 2 alternating rules joined the chat/game

I call these types of rules "cycling rules", but you can call them whatever you want

B3/S234/B3/S024/B3/S023

Stuff (haven't found any interesting oscillators yet, but have some spaceships)

Preloaf (somewhat fast at c/3)

And a fake glider which, due to the definition of gliding, is still technically a glider

Code: Select all

x = 13, y = 11, rule = b3/s234/b3/s024/b3/s023
4$8.3A$3.3A2.A$3.A5.A$3.A!

@RULE b3/s234/b3/s024/b3/s023

@TABLE

n_states:4
neighborhood:Moore
symmetries:permute

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}

# birth
0,1,1,1,0,0,0,0,0,2

# survival
1,1,1,0,0,0,0,0,0,2
1,1,1,1,0,0,0,0,0,2
1,1,1,1,1,0,0,0,0,2

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

# birth

0,2,2,2,0,0,0,0,0,3

# survival

2,0,0,0,0,0,0,0,0,3
2,2,2,0,0,0,0,0,0,3
2,2,2,2,2,0,0,0,0,3

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

# birth

0,3,3,3,0,0,0,0,0,1

# survival

3,0,0,0,0,0,0,0,0,1
3,3,3,0,0,0,0,0,0,1
3,3,3,3,0,0,0,0,0,1

# death otherwise
3,a,b,c,d,e,f,g,h,0

[b-engine]

Gliders rephase themselves into 1 relative phase, and there's a natural p6 thumb:

Code: Select all

x = 16, y = 4, rule = B3/S23|B34i5n/S23-r
12b3o$3o3b2o3bo3bo$o4b2o4bo3bo$bo5bo3bo3bo!

EDIT:
Natural c/3, also the third most common spaceship:

Code: Select all

x = 3, y = 4, rule = b3/s234/b3/s024/b3/s023
C.C$2.C$2.C$C.C!
@RULE b3/s234/b3/s024/b3/s023

@TABLE

n_states:4
neighborhood:Moore
symmetries:permute

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}

# birth
0,1,1,1,0,0,0,0,0,2

# survival
1,1,1,0,0,0,0,0,0,2
1,1,1,1,0,0,0,0,0,2
1,1,1,1,1,0,0,0,0,2

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

# birth

0,2,2,2,0,0,0,0,0,3

# survival

2,0,0,0,0,0,0,0,0,3
2,2,2,0,0,0,0,0,0,3
2,2,2,2,2,0,0,0,0,3

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

# birth

0,3,3,3,0,0,0,0,0,1

# survival

3,0,0,0,0,0,0,0,0,1
3,3,3,0,0,0,0,0,0,1
3,3,3,3,0,0,0,0,0,1

# death otherwise
3,a,b,c,d,e,f,g,h,0

[eRroR_6o6]

this might be a problem

Code: Select all

x = 6, y = 6, rule = b3/s234/b3/s024/b3/s023
.A2.A$.A2.A$2A2.2A$2A2.2A$.A2.A$.A2.A![

@RULE b3/s234/b3/s024/b3/s023

@TABLE

n_states:4
neighborhood:Moore
symmetries:permute

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}

# birth
0,1,1,1,0,0,0,0,0,2

# survival
1,1,1,0,0,0,0,0,0,2
1,1,1,1,0,0,0,0,0,2
1,1,1,1,1,0,0,0,0,2

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

# birth

0,2,2,2,0,0,0,0,0,3

# survival

2,0,0,0,0,0,0,0,0,3
2,2,2,0,0,0,0,0,0,3
2,2,2,2,2,0,0,0,0,3

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

# birth

0,3,3,3,0,0,0,0,0,1

# survival

3,0,0,0,0,0,0,0,0,1
3,3,3,0,0,0,0,0,0,1
3,3,3,3,0,0,0,0,0,1

# death otherwise
3,a,b,c,d,e,f,g,h,0

[CasperWen8805181]

Funky Rule with bunch of weird ships

Code: Select all

B23/S23|B/S23

[eRroR_6o6]

Funky Rule with bunch of weird ships

Code: Select all

B23/S23|B/S23

Why use a code tag simply to put the rulestring in? At least include some objects.

[LaundryPizza03]

Funky Rule with bunch of weird ships

Code: Select all

B23/S23|B/S23

Why use a code tag simply to put the rulestring in? At least include some objects.

Code: Select all

B23/S23|B/S23

I can see where they're going with this:

Code: Select all

x = 64, y = 64, rule = B23/S23|B/S23
b2ob3o2b2ob4o2bobo2b3ob2ob2o2b2o4b5obo3bob4obo5bo$ob5o2bob2o2bobo4b2o
3bobob6o5bob2ob3obo2bobo2b3obo$2o2b2ob2obobobo2bo2bobobobobobo7bobob2o
bo3bo6b2ob5o$b4o2bo2bo2b3obobo2b2o4bob2obo3b2obobob2obo4b3obobo2b2o$3b
obo4b4ob3obo3bo3bo4b2o2bo2bob2obo3b4ob2o2b5o$obobo3b6o2b3obobob4obo3b
obob2ob2ob2o2b3o3bobo4bo2bo$b3ob3o2bo3b2o2bob8o2b2o2b2obo2b2ob7obobo5b
2obo$3obo3b2o4b2o3bo2b2o3b3o3bo4b2obobob2o4bob2o5b2obo$2b2o3bo2bo5bo2b
2obo5bob3o4b5o3b3ob5ob3o2b2o$3obo3bob4o2bo5b3o2bo4bobob7o4b2obobob4ob
2obo$3ob4ob3o2b3obo2bo4bob5o4bo5bo2bo2b4o2b5o2b2o$3ob3o2bob3o2bo2bob2o
bob4ob2o4b2o2bo2b2o2bo3b4obobo2bo$b3obobo9bob3ob4o5b2obo2bo2b3obobo2b
2o4b3o3bo$o2bo2b2o2bobobob3o3b2obob5obob7o3b2o3bo5b3obo$ob4o3bo3bo2b2o
4b7obo2bobob3ob2o9b2ob2ob2o2bo$bo2b2ob5obob2ob2o3b2obobobob2ob2obobob
o2bob2o8bo2b2obo$2ob2o2b2o2bob8o2bo2b4o5bo2bob4ob2o2b2o3bo2b3obo$b4ob
4ob4o3b4o2b5o2bo9b2ob4o3bo4bo4bobo$o8b2o3bo2bo6bo3b2o2bobob2obo4b3o7b
3ob5o$o3bobo2b2o3b5o2b3o5bo2b4o2bo2bob2o3b2o4b2obo2bobo$7b4o2bobo2bo2b
2o2bo5bob2obo2bob4obobo7b2ob2o2bo$2o4bobobobo3b5o6b3obo4b4ob5o3b4o5bo
bob2o$bob4obobob4ob2ob2obobobob2ob2o3b2o3b8o2b2o7bobo$bo4bo4bo2bobob2o
3b6o2b3obo6bob4o5bo2b4o2b2o$2bob3o2b2ob3ob2ob2ob3ob2o2bob3o3b2o2b2ob3o
2bob6obo2bo$2ob2ob2obobo2b3o2b5o3bo3bobobob2obobobobo2bo3b5ob3obo$3ob
2o3bo3b7obo5bo2bob2obob2obo2bo2bob3o4bo2b2o2bo$bob2obobobobo2bobobobo
2b3ob2obobo4bo2b3o2b2ob2obobob4o2b2o$3bo4b3o3bobobo3b2o3b2o2b2o9b2obo
b2ob3obob2obo3bo$2b5ob2obo3b6ob3o2b4o3bob2o5bob2obo3b3ob2obo2bo$3o4b3o
2bob2obo2b3o3bob2obob4o2bob2obob2o2b4o2bob3obo$o3b2o2bobo7b2ob4ob4o2b
ob3o2b2ob2o8bo5b3o$ob6ob4o3bobo2b3obo2bobo2b2o4bob2ob3o2bo5b2o3bo2bo$
b4o2bobobobo2bo2bobo4b3obo4b3o4b4o2b3obobo2b2o2bobo$3bob6ob8ob2obo2bo
bobob4o6bob2o2bob2obo3bo2b3o$5b2o8b2o3b2ob3obobo2bobo3b3ob3ob2o2bobob
2ob3o3bo$5o4bo4bo3b2ob3o3b2obobo4bo2b5obo3b4o6bo$4bobobob2ob2ob2o2b2o
b4o3b3ob2o2b3o2bo2bob2o3b2o2bo$obobob2o3bo4b2o5bobobobo3b6o3bo7bo6b5o
$ob2o2b2ob2ob2ob2obob2o2bo2bob3o2bo3b2o2b4o4bo2b2ob3ob2obo$bob3o2b2o2b
4o3b2o2b2o2bob2o4b2o3b2ob8obo2b2o5b2o$o2bobob5ob2ob2o4bob3obobo2bobob
o2bobobobo5b2obob2ob3o$3b2o2bo2bo2bob2obobob3ob2o5bob5o4bo2bo3b2o2b3o
2bo$13b2obo3bobobob4obo2b2o12b4obo3b2obo2bo$2bo4b2o2b2o2b2o8b4ob3o2bo
bob4ob3obob3o3bo2bob2o$ob4o2b3ob2obobobo3bo2b2obo3bo4bo2b2ob3o4b5ob3o
bobo$3b2o3bob7ob3o2b4obo2b3o3bo5b3ob2obo5bo2b2o$b2ob2obo4b2o2b7obobob
obo2bo2bobob2obo3b2o2b2obo2b2ob2o$3ob4ob3ob2o2bobo2bo2bobo2b2o2bo2bob
2o5bob2o4b2o4b2obo$o2bo2b5ob2o2bobo3bobo4b2o3bo4bobob2o4bobo2b2o4bobo
$4o7b2obob5obob2obob2o2bo2bo2b3ob6o3b12o$5o2b2o4b2o3bo3bobo4b8ob6ob4o
2b2o4bobobobo$b4o2bo5bob3ob2o3b3o2b4obo2b2obobobo2bob2o3bo2b6o$b2o3b4o
bo4b2o3bobo3b3o4bo4b2ob3obo4b2o4bobobobo$2ob2obo4b2o2bo5b2obobobo2bo2b
obobo2b3ob4o5b3o3bob2o$obob7o10bob2obo3b3obob4ob3ob5o2bobobobob2obo$o
b2o4b3obobo3b3ob2obobo3bob6ob2o2bo3bobobo4bob2obo$4bobobo2bo2bo2bo2bo
2b2ob3obo4bobob3ob3obobo3b2obobo2b3o$obo2b4o2b2ob2obobo3b3obob2ob4ob2o
bob3ob2o2b8o2b2o$3obo3bobob3ob2o2bobob2ob2obobo2b3o4b2o3b2ob2ob2ob2o4b
o$4o2bo4bo3bob3obobob2obo3b2ob3o3bo2bo12bobo2bo$ob7o3b3o2bobobobobo2b
o6bo3b2o3bobob4ob2obobo4bo$obob7o4b3o4b2o3bo2b2obobo2bo3bo5bob2ob4ob3o
2bo$bo2bo2b2o3b2ob2obob3obob2ob3o2bo2bo2bo2bo4bob4obob2ob2obo!

[CasperWen8805181]

Same can be said with this Brian's Brain ripoff:

Code: Select all

x = 64, y = 64, rule = B23/S|B/S23
4b2ob5o2bob2o2b3o3bo8b2ob3ob4ob4o4b2o4bo$2o4bob2ob2ob2o4b3obob5o4bob4o
6b2obob2o8bo$2b2ob2obobo2bobo4bob4ob2o2bo8bo2b3obobob3obobo2b2obo$3ob
2obobob2o3b2ob4obob3obobob4o4b4o3b4ob4o3b2o$3b3o5bobob2o8b2o2b2o4bobo
b2o2b4ob2ob2o2bobo2bob2o$4bo2b7ob3obobobo2bob3o7bobo2b3ob6o2bo2b5o$3b
o7b2o5b7o3b2obobo10b2o5bo2b4o3bo$3bob3o2b2o3b5ob4obo6bobo2bo2bo2bo2b2o
b2ob2o4b3obo$ob2o2b2o4bo2bo3bo4bobo2b4obob5o3b3obobo5bo3bob2o$2obob3o
3b2obo2bob3ob4o3bob3obob3obobob3ob3o2b2o2b2obo$b3o2bobo2b5o2b2o2bo3bo
2b6ob5o3b4o4bobo2bobobo$o4bobo2b2o6b2o2b3o2b3ob8ob4obob2o2bob5o3bo$b2o
bo4bo4b2ob2obob2o2b2o3b2o3bo2b3obobobo2bo2b4ob3o$o3bobobobob2ob2obo2b
obobob2obobob4obo2bobo3b4ob6obobo$b2o4b3obo3b4ob2o2bo2b2o3b2o2bobob2o
b2obo2b5ob2obo2bobo$ob5obob3o5bo2b3ob2obobob4o2b5ob2obo2b2obob3obob2o
$b3obo2b2o3b7ob3o2bobo3bo2b2o2bobo2b2o5b2obobobo3b2o$3b5o2b2o3bo3bo2b
6o3b2obo3b2obo4bobo2bobo4bo4bo$b2o2b4o2b2ob3o2bobobobob2ob2o5b3ob7o5b
obobo2b2o$obob4o4bobob3obobo2bobob7o2b2o5b3o2bo2b5obobo$ob2ob2obo3bob
2o2b2o5b6o5b2obob10obobobo2bob2o$3b2ob5obo2bo3b2obob2obo2b3o2bo2b3ob4o
b2ob3o2b5ob2o$bo4b2ob3o2bob2obobobo2bo3bob3ob3obo3bobobo2bo4b2o3b3o$o
2bobobo4bobobo4b4ob2obobob2ob3o3bob2o4bobob2o2bob4o$o3b2o7bobo2bo2b4o
2bob3o2b3obob2ob2ob6obobo2b2o3bo$obob3obobobo3bo2bo2b2ob2o2bob2o3b2o2b
o4b2o2bob2obobo4b2o$6bobobo2b3ob3obobo3bo4bobo2bo2b3ob4obobo5b5o$ob2o
b3o2bo3bo2b2o4b2o3b4ob2o3bobo2b4obob2o2b2obo4b2o$2o7bob5o4b2ob4o2bo3b
obo3bo2b2o2b2o2b2o2bo2bob4o$2o2b2o2b2obo3b2o2b3o5bobo5bob8o4bo2bo2b3o
2bo2bo$b2ob2o2b8ob3ob3ob2o3b2obobobo3bob2o2b4o6bo4b2o$4bo2bo3b2obob4o
bob2o6bob3ob3obo2b4o2bob2obo3b2o$3o7b3obobob4o2b2ob3o2b2o2b3obo5bo2b2o
4b2obobo$2bobob2obobo2bob2obobo2bo3bo3bo3bo4bo2bo3b2ob2ob3obob4o$2b6o
2b2ob2o2b3obo3b3o4bob2o3bobo3bo2b3o2b3obob2o$obo3b4obo3b2obobob4o2b5o
b3obo3bobobo2b3o2b2o3bobobo$b2o2b2obo3b2o2bob2ob2obob4o4b2o4b2obo3b2o
b2obobo3b2o2bo$o2b2ob6ob8obobobo3b2obo2bo6bo2bo3b3ob6obobo$bo4b2obo2b
2ob4ob2obob8ob2obobo3b2o2b3o2b2ob2ob2o3bo$4ob3ob2o2b5o3b5ob2obo7b3o3b
2obo2bobo2bobo4bo$3o5bo3bobobobobo3bo2b2o5bo2b2obo2b3obo2b3ob5obo$bob
2obobo5bobo2b3ob5o4b2o2b2ob5o10bobobob2obo$2obob2obobobob9o3bob2o2bo2b
ob2obo2bo5bo2bo2b2o2bo2b2o$3o2b3ob4obobobob2obob3o3b2obobobo5b5o3b2ob
2ob2ob2o$o3bo4bobo4bo3bo2bob2obo2b5o2b2obo5bobo2bobo2b2o$o5b7o2b2ob2o
bobobob7o5b7obobo4bob4ob2o$7b5o3bobobob2ob2ob3ob4obobobo5bob6o2b4o$ob
9ob5o2b7obob3obobo4b2o2bobo3b3ob3o2b4o$b2obob3ob3obob2ob2o3bo2bob3o3b
2o2b3o2b3o2b2ob3ob3ob2o$bo3bobobo2b5o2bo3b2o2b2o2bobo4bo3b3o2b2ob2o3b
2ob3o$b3o3bob2ob2ob2obo3b2ob2ob2obo2b2ob3o3bobo3b2o3b3ob2o3bo$2b7obob
o5b2o2b4ob3o4bobobob2o3b2obo5bo3b3o$bo4bobobo2bo2bo2b4o2bobobob5ob5ob
5obo2bo2b4ob2o$3obo3bobo10bo2bob3o2bo2bo4b4o3bo2b4ob2ob5o$4obobo8b2o3b
4obo2bo7b4o2b3o3bob2ob2o$b4ob3ob2o3b2o2bobobo3b2obo5b5o2bo2bo5bobo2bo
bo$obobo4b2o5b6obo2b3ob2o3b2obo3bo3bo2bob2obo2bo2b3o$bo7b2ob2obobo4b2o
4bo2b2o3b2obobobob7o5bo3bo$3o4bob6o3bo2b2o4b2obo2bobob2o2b2o3b3o2bob4o
b2ob3o$bob3obob3obo7b2o3bobo2b3o2b2o4b2o3b5ob2o3bo3b2o$2bo2bo3b2obo4b
3obobob2ob2o2bob2obo8b4obo2b5o3bo$2ob7obo2bo3bobobobo7b3ob4o3b3o2bob2o
2bobobobo2bo$3obo2bobo2b5obobo2bo2bob2obobob3obo5bo2bob3o6bo2bo$2b2o6b
ob2o2bo3bo2b2ob3o2bobob5ob3o2bo3b3ob4o5bo!

[CasperWen8805181]

Can someone tell me why the MWSS is so common in this rule?

Code: Select all

x = 16, y = 15, rule = B34k/S234|B34k/S234k
bo$obo$o$bo$2b3o2$8bo$7bo$8b3o$8b3o3$14bo$13bo$13b3o!

[eRroR_6o6]

random stuff in random rule

Code: Select all

x = 79, y = 70, rule = b368s01b3s02468b3s1357b23s
24.A2.A$28.2A$24.A7.A30.3A$33.2A5.A.2A$2.4A.A17.A.3A6.A2.A23.4A$.A4.A
21.A7.A2.A2.2A$2.A5.A19.A.A.A.A4.A.A2.2A4.2A12.4A$5A23.3A.3A4.3A20.3A
$2.A5.A19.A.A.A.A4.A.A2.2A4.2A12.4A$.A4.A21.A7.A2.A2.2A$2.4A.A17.A.3A
6.A2.A23.4A$33.2A5.A.2A$24.A7.A30.3A$28.2A$24.A2.A21$53.4A2$53.A2.A$
54.A7$32.A.A6.A.A16.3A$32.A8.A2.A14.A3.A$33.A.A6.A.A13.A5.A$58.A5.A$
58.A5.A$59.A3.A$60.3A4$46.A.A26.A$46.A.A27.2A$46.A29.2A$44.A.A31.A$
44.A.A4$59.A.A$30.4A25.A.A$29.A27.3A.3A$29.A3.A$30.3A24.3A.3A$59.A.A$
59.A.A!

@RULE b368s01b3s02468b3s1357b23s

@TABLE

n_states:5
neighborhood:Moore
symmetries:permute

var a={0,1,2,3,4}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={a}

# birth

0,1,1,1,0,0,0,0,0,2
0,1,1,1,1,1,1,0,0,2
0,1,1,1,1,1,1,1,1,2

# survival

1,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,2

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

# birth

0,2,2,2,0,0,0,0,0,3

# survival

2,0,0,0,0,0,0,0,0,3
2,2,2,0,0,0,0,0,0,3
2,2,2,2,2,0,0,0,0,3
2,2,2,2,2,2,2,0,0,3
2,2,2,2,2,2,2,2,2,3

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

# birth

0,3,3,3,0,0,0,0,0,4

# survival

3,3,0,0,0,0,0,0,0,4
3,3,3,3,0,0,0,0,0,4
3,3,3,3,3,3,0,0,0,4
3,3,3,3,3,3,3,3,0,4

# death otherwise
3,a,b,c,d,e,f,g,h,0

# birth

0,4,4,0,0,0,0,0,0,1
0,4,4,4,0,0,0,0,0,1

# survival

# death otherwise
4,a,b,c,d,e,f,g,h,0

[b-engine]

Glider, are you okay?

Code: Select all

x = 0, y = 0, rule = B2e3-i/S23-j4k|B3/S23
bo$2bo$3o!

Code: Select all

x = 0, y = 0, rule = B2e3-i/S23-j4k|B35n/S1e2-e3-r
bo$2bo$3o!

[b-engine]

Same can be said with this Brian's Brain ripoff:

Code: Select all

x = 64, y = 64, rule = B23/S|B/S23

This common spaceship pulls a spaceship-like spark, which was regenerated when destroyed:

Code: Select all

x = 30, y = 79, rule = B23/S|B/S23
3bo$4bo$bo3bo$2bo3bo$2bo3bo$bo3bo$4bo$3bo$obo$bo2$12b6o$11bo6bo$10bob
2o5bo$9bo7bo2bo$8bo8b2o2bo$7bo$6bobo15bo$6bobobobo10bobo$6bob2obo9bo4b
o$7bo3bo15bo$18b4o6bo$25bobobo$27bobo$27bobo$25bobobo$20b2o6bo$19bo7b
o$20bo5bo$25bo$24bo$21bobo$19bo2bo$19bobo23$12b6o$11bo6bo$10bob2o5bo$
9bo7bo2bo$8bo8b2o2bo$7bo$6bobo15bo$6bobobobo10bobo$6bob2obo9bo4bo$7bo
3bo15bo$18b4o6bo$25bobobo$27bobo$27bobo$25bobobo$20b2o6bo$19bo7bo$20b
o5bo$25bo$24bo$21bobo$19bo2bo$19bobo!

EDIT:
Margolus oscillators?!

Code: Select all

x = 225, y = 1, rule = B2a/S|B2-a/S2
3o3b3o6b3o3b3o3b3o6b3o3b3o3b3o3b3o6b3o3b3o3b3o3b3o3b3o6b3o3b3o3b3o3b3o
3b3o3b3o6b3o3b3o3b3o3b3o3b3o3b3o3b3o6b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o!

[b-engine]

A 4c/4 spaceship in a B2-a/S ripoff using vN neighborhood:

Code: Select all

x = 4, y = 3, rule = B1/S0V|B34/S0V
3bo$3bo$4o!

EDIT:
This rule is so well-behaved that I want to include it into my rules collection:

Code: Select all

x = 24, y = 18, rule = B1/S034V|B34/S034V
20b4o3$3bo16b4o$3bo$4o8$20b4o3$2bo14bo2b4o$2bo!

[WhiteHawk]

Turns out alternating B38/S23 and B3/S23 can create a similar effect to the isotropic non-totalistic rule B34c8/S23 in that TL predecessors can be delayed 1 step in hasslers, but with the added benefit that S8 is never queried, allowing these rephased reactions to work in B38/S23|B3/S238.

Also, this causes some of the hasslers to become larger periods, since B8 isn't triggered for odd-period reactions (Bottom row). How do I calculate the period for oscillators in alterating rules when they do things like this?

Code: Select all

x = 186, y = 164, rule = B38/S23|B3/S23
130bo$130b3o$133bo$132b2o2$100b2o38b2o$100bobo2b2o34bo$102bo3bo34bob2o
$57b2o39b4ob3o34b2obo2bo$57bobo2b2o34bo2bobo4b2o33bob2o$8b2o14b2o33bo
3bo44bo34bo$4b2obobo14bobob2o25b4ob3o23bo19bobo25b3o5b2o$5bobo18bobo20b
o5bo2bo27b3o17b2o20bo5bobo$5bob2o16b2obo20b3o6bob5o24bo37bobo4b3o$4b2o
22b2o22bo6bo5bo17b2o3b2o38bo$3bo3b2o16b2o3bo20b2o7bo3b2o17bobo14b3o$4b
obo20bobo55bo14bobo33bo$3b2obo20bob2o54b2o13b3o32bobo$bo2bob2o18b2obo
2bo22b3o25b2o7b3o40bobo$b2obo5b3o8b3o5bob2o22bobo24bo2b2o5bobo41bo$4b
o5bobo3b2o3bobo5bo25b3o24b2obo6b3o$4b2o4b3o2bo2bo2b3o4b2o55bo25b2o26b
o$16b2o67b2o25bo25bobo$58b3o42b3o6bob2o22bobo$16b2o40bobo42bobo5b2o2b
o23bo$4b2o4b3o2bo2bo2b3o4b2o28b3o42b3o7b2o$4bo5bobo3b2o3bobo5bo65b3o13b
2o34bo$b2obo5b3o8b3o5bob2o62bobo14bo26b3o4bobo$bo2bob2o18b2obo2bo17b2o
3bo7b2o30b3o14bobo24bobo5bo$3b2obo20bob2o19bo5bo6bo44b2o3b2o17b2o5b3o
$4bobo20bobo21b5obo6b3o41bo23bo$3bo3b2o16b2o3bo26bo2bo5bo23b2o17b3o17b
2obo$4b2o22b2o23b3ob4o28bobo19bo17bo2bob2o$5bob2o16b2obo23bo3bo32bo41b
2obo$5bobo18bobo23b2o2bobo29b2o4bobo2bo34bo$4b2obobo14bobob2o27b2o33b
3ob4o34b2o$8b2o14b2o65bo3bo$91b2o2bobo44b2o$96b2o44bo$143b3o$145bo16$
12b2o5b2o35bo$7b2o3bo7bo3b2o29bobo27bo7bo38bo7bo$6bobo4bo5bo4bobo27bo
3bo25bobo5bobob2o30b2obobo5bobo$8bob3obo3bob3obo30bo3bo23bo2bo4bo2b2o
bo8bo12bo8bob2o2bo4bo2bo$5b2obobo3bo3bo3bobob2o28bo3bo22b2ob2o4b2o12b
3o8b3o12b2o4b2ob2o$8bo5bobobo5bo32bo3bo22bo4bo4b3o12bo6bo9b6o4bo4bo$7b
obo2b2obobob2o2bobo32bobo9bo12bo2b4ob2obo2bob2o7b2o6b2o7b4o4b2ob4o2bo
$8bo3bo2bobo2bo3bo34bo9bobo10bob2o3bo2bo2b3o2b3o21bo3bo5b2o4b2obo$4b2o
8b2ob2o8b2o39bo3bo10bo4b2obobo2b2o3b2o19bobo4bo3bo2b2o4bo$2o2bo23bo2b
2o34bo3bo12bobobobo2bo8bo2bo15bo8bob4obobobo$obobo3b3o11b3o3bobobo20b
o12bo3bo14b2obo4bo8bo10b3o5bo15bob2o$2bob2o2bobo11bobo2b2obo21bobo4b3o
3bo3bo18b3o11bo3bo6bobo5bo3bo11bo$obobo3b3o11b3o3bobobo18bo3bo3bobo4b
obo16b2obo4bo8bo10b3o5bo15bob2o$2o2bo23bo2b2o17bo3bo4b3o5bo16bobobobo
2bo8bo2bo15bo8bob4obobobo$4b2o8b2ob2o8b2o20bo3bo29bo4b2obobo2b2o3b2o19b
obo4bo3bo2b2o4bo$8bo3bo2bobo2bo3bo23bo3bo29bob2o3bo2bo2b3o2b3o21bo3bo
5b2o4b2obo$7bobo2b2obobob2o2bobo23bobo31bo2b4ob2obo2bob2o7b2o6b2o7b4o
4b2ob4o2bo$8bo5bobobo5bo25bo7bo25bo4bo4b3o12bo6bo9b6o4bo4bo$5b2obobo3b
o3bo3bobob2o29bobob2o20b2ob2o4b2o12b3o8b3o12b2o4b2ob2o$8bob3obo3bob3o
bo33b2obo2bo18bo2bo4bo2b2obo8bo12bo8bob2o2bo4bo2bo$6bobo4bo5bo4bobo33b
o2b2o19bobo5bobob2o30b2obobo5bobo$7b2o3bo7bo3b2o31bobo25bo7bo38bo7bo$
12b2o5b2o36b2o17$145b2o9b2o$83b2o8b2o50bo11bo$33bo14bo33bobo8bobo50b3o
5b3o$26b2o4bobo12bobo4b2o26b2o10b2o35bo16bo5bo16bo$3b2o21bobo4bo14bo4b
obo75b3o35b3o$4bo23bo24bo35b3o42bo15b2o16bo$4bobo21b3o20b3o35bobo41b2o
14bo2bo15b2o$5b2o24bo18bo38b3o52bo5b2o$10b3o15b3o20b3o89b3o$10bobo15b
o6b3o6b3o6bo88bo2bo$10b3o13bobo6bobo6bobo6bobo18b2o26b2o33bo3b5o19b3o
$26b2o7b3o6b3o7b2o17bobo26bobo31b3o3bo2bo10b3o6bobo$73b2o15b3o10b2o31b
o2bo3b3o10bobo6b3o$84b3o3bobo43b5o3bo11b3o$77b3o4bobo3b3o27b2o14bo2bo
41b2o$7b3o67bobo4b3o34bo14b3o42bo$7bobo16b2o7b3o6b3o7b2o21b3o41bobo13b
o41bobo$7b3o16bobo6bobo6bobo6bobo42b3o21b2o23b2o5b2o23b2o$13b2o13bo6b
3o6b3o6bo37b3o4bobo46bo7bo17b3o$13bobo12b3o20b3o31b3o3bobo4b3o27b5o15b
3ob3o18bobo$15bo15bo18bo34bobo3b3o33b2obob2o16bobo20b3o$15b2o11b3o20b
3o19b2o10b3o15b2o23bobobo$28bo24bo19bobo26bobo24b3o$26bobo4bo14bo4bob
o18b2o26b2o26bo$26b2o4bobo12bobo4b2o71bo$33bo14bo77b3o$86b3o36bobobo$
86bobo35b2obob2o41b3o$86b3o28b2o6b5o42bobo9b2o$117bobo52b3o8bobo$82b2o
10b2o23bo14b2o31b2o14bo$82bobo8bobo23b2o13bobo29bobo13b2o$83b2o8b2o28b
o12bo29bo$122bobo11b2o27b2o12bo$122bobo53bobo$123bo12b2o27b2o11bobo$136b
o29bo12bo$119b2o13bobo29bobo13b2o$119bo14b2o31b2o14bo$117bobo8b3o52bo
bo$117b2o9bobo42b5o6b2o$128b3o41b2obob2o$173bobobo$174b3o$175bo$172bo
$171b3o$170bobobo$127b3o20bobo16b2obob2o$127bobo18b3ob3o15b5o$127b3o17b
o7bo$122b2o23b2o5b2o23b2o$121bobo41bo13bobo$121bo42b3o14bo$120b2o41bo
2bo14b2o$144b3o11bo3b5o$135b3o6bobo10b3o3bo2bo$135bobo6b3o10bo2bo3b3o
$135b3o19b5o3bo$157bo2bo$157b3o$151b2o5bo$133b2o15bo2bo14b2o$134bo16b
2o15bo$131b3o35b3o$131bo16bo5bo16bo$146b3o5b3o$145bo11bo$145b2o9b2o!

Code: Select all

x = 149, y = 128, rule = B38/S23|B3/S238
130bo$130b3o$133bo$132b2o2$100b2o38b2o$100bobo2b2o34bo$102bo3bo34bob2o
$57b2o39b4ob3o34b2obo2bo$57bobo2b2o34bo2bobo4b2o33bob2o$8b2o14b2o33bo
3bo44bo34bo$4b2obobo14bobob2o25b4ob3o23bo19bobo25b3o5b2o$5bobo18bobo20b
o5bo2bo27b3o17b2o20bo5bobo$5bob2o16b2obo20b3o6bob5o24bo37bobo4b3o$4b2o
22b2o22bo6bo5bo17b2o3b2o38bo$3bo3b2o16b2o3bo20b2o7bo3b2o17bobo14b3o$4b
obo20bobo55bo14bobo33bo$3b2obo20bob2o54b2o13b3o32bobo$bo2bob2o18b2obo
2bo22b3o25b2o7b3o40bobo$b2obo5b3o8b3o5bob2o22bobo24bo2b2o5bobo41bo$4b
o5bobo3b2o3bobo5bo25b3o24b2obo6b3o$4b2o4b3o2bo2bo2b3o4b2o55bo25b2o26b
o$16b2o67b2o25bo25bobo$58b3o42b3o6bob2o22bobo$16b2o40bobo42bobo5b2o2b
o23bo$4b2o4b3o2bo2bo2b3o4b2o28b3o42b3o7b2o$4bo5bobo3b2o3bobo5bo65b3o13b
2o34bo$b2obo5b3o8b3o5bob2o62bobo14bo26b3o4bobo$bo2bob2o18b2obo2bo17b2o
3bo7b2o30b3o14bobo24bobo5bo$3b2obo20bob2o19bo5bo6bo44b2o3b2o17b2o5b3o
$4bobo20bobo21b5obo6b3o41bo23bo$3bo3b2o16b2o3bo26bo2bo5bo23b2o17b3o17b
2obo$4b2o22b2o23b3ob4o28bobo19bo17bo2bob2o$5bob2o16b2obo23bo3bo32bo41b
2obo$5bobo18bobo23b2o2bobo29b2o4bobo2bo34bo$4b2obobo14bobob2o27b2o33b
3ob4o34b2o$8b2o14b2o65bo3bo$91b2o2bobo44b2o$96b2o44bo$143b3o$145bo16$
12b2o5b2o$7b2o3bo7bo3b2o$6bobo4bo5bo4bobo$8bob3obo3bob3obo$5b2obobo3b
o3bo3bobob2o$8bo5bobobo5bo$7bobo2b2obobob2o2bobo$8bo3bo2bobo2bo3bo$4b
2o8b2ob2o8b2o$2o2bo23bo2b2o$obobo3b3o11b3o3bobobo$2bob2o2bobo11bobo2b
2obo$obobo3b3o11b3o3bobobo$2o2bo23bo2b2o$4b2o8b2ob2o8b2o$8bo3bo2bobo2b
o3bo$7bobo2b2obobob2o2bobo$8bo5bobobo5bo$5b2obobo3bo3bo3bobob2o$8bob3o
bo3bob3obo$6bobo4bo5bo4bobo$7b2o3bo7bo3b2o$12b2o5b2o18$83b2o8b2o$33bo
14bo33bobo8bobo$26b2o4bobo12bobo4b2o26b2o10b2o$3b2o21bobo4bo14bo4bobo
$4bo23bo24bo35b3o$4bobo21b3o20b3o35bobo$5b2o24bo18bo38b3o$10b3o15b3o20b
3o$10bobo15bo6b3o6b3o6bo$10b3o13bobo6bobo6bobo6bobo18b2o26b2o$26b2o7b
3o6b3o7b2o17bobo26bobo$73b2o15b3o10b2o$84b3o3bobo$77b3o4bobo3b3o$7b3o
67bobo4b3o$7bobo16b2o7b3o6b3o7b2o21b3o$7b3o16bobo6bobo6bobo6bobo42b3o
$13b2o13bo6b3o6b3o6bo37b3o4bobo$13bobo12b3o20b3o31b3o3bobo4b3o$15bo15b
o18bo34bobo3b3o$15b2o11b3o20b3o19b2o10b3o15b2o$28bo24bo19bobo26bobo$26b
obo4bo14bo4bobo18b2o26b2o$26b2o4bobo12bobo4b2o$33bo14bo$86b3o$86bobo$
86b3o2$82b2o10b2o$82bobo8bobo$83b2o8b2o!

EDIT: some examples of period-adjusted TL hasslers which work here, but not in B34c8/S23

Code: Select all

x = 110, y = 56, rule = B38/S23|B3/S23
31bo$14b2o13b3o13b2o31b2o$13bo2bo2b2o7bo17bo31bo$14b2o2bobo7b2o16bob2o
25b2obo$16b2o29bobo8bo7bo8bobo$16bo32bob2o4bobo5bobo4b2obo17bo14bo$13b
2obo8b3o20bobobo5bo7bo5bobobo15bobo3b3o6bobo$13bo2bob2o5bobo3b2o11b2o
2bo27bo2b2o12bo4bobo7bo$15b2ob2o5b3o3b2o11bobo31bobo17b3o$41b2obo11b2o
9b2o11bob2o$41bobob3o5bo4bo7bo4bo5b3obobo$43bo8bobo3bo7bo3bobo8bo$15b
2ob2o5b3o13bobob3o5bo4bo7bo4bo5b3obobo14b3o$13bo2bob2o5bobo13b2obo11b
2o9b2o11bob2o9bo4bobo7bo$13b2obo8b3o16bobo31bobo11bobo3b3o6bobo$16bo13b
2o12b2o2bo27bo2b2o12bo14bo$16b2o12bobo15bobobo5bo7bo5bobobo$14b2o2bob
o11bo16bob2o4bobo5bobo4b2obo$13bo2bo2b2o2b2o7b2o13bobo8bo7bo8bobo$14b
2o8bo21bob2o25b2obo$18bob4o22bo31bo$18b2obo23b2o31b2o7$11bo16bo$11b3o
12b3o71b2o$14bo10bo30b2o3b2o37bo$7b2o4b2o10b2o4b2o23bo5bo39bo$8bo22bo
14b2o2b2ob2obo5bob2ob2o2b2o25b5o$8bobo18bobo14bo2bobobobo7bobobobo2bo
25bo$9b2o18b2o16bobo3bo11bo3bobo29b4o$46b2ob2o2b2o9b2o2b2ob2o28bo2bo$
17b2o2b2o$17b2o2b2o67bo$61b3o25bobo6b3o4bo$61bobo26bo7bobo3bobo$61b3o
34b3o3bobo$14b3o6b3o79bo$14bobo6bobo$14b3o6b3o79bo$3b2o3b2o20b2o3b2o24b
3o34b3o3bobo$3b2o2bo2bo18bo2bo2b2o24bobo26bo7bobo3bobo$7bobo20bobo28b
3o25bobo6b3o4bo$2o6bo22bo6b2o50bo$o38bo$2bobo30bobo8b2ob2o2b2o9b2o2b2o
b2o28bo2bo$b2ob2o28b2ob2o8bobo3bo11bo3bobo29b4o$46bo2bobobobo7bobobob
o2bo25bo$b2ob2o7bo12bo7b2ob2o7b2o2b2ob2obo5bob2ob2o2b2o25b5o$2bobo6b3o
12b3o6bobo18bo5bo39bo$2bobo5bo18bo5bobo18b2o3b2o37bo$3bo6b2o16b2o6bo63b
2o!

[WhiteHawk]

Doublepost, but unrelated to my last post: Quadratic breeder in B34qz8/S238|B34qz/S238

Code: Select all

x = 19, y = 31, rule = B34qz8/S238|B34qz/S238
5b3o2$4bo3bo$4bo3bo$2bo7bo$2o4bo4b2o$o4bobo4bo$o3bo3bo3bo$b2obo3bob2o
$3bo5bo6b3o4$7b2o$o5bo$o2b2obo2bo$o2b3ob2o$3b2o2bo$5b4o3b2o$5b2ob7o$8b
3obobo$3bo5b2o2bo$b2obo3bo$o3bo3b2o$o4bo3b2o$2o4bobo2bo$2bo7bo$4bo3bo
$4bo3bo2$5b3o!

[FWKnightship]

B3-ck4ci5aikn6i/S023-k4ij5aejk6ei8|B3kq4iy5ce6-ac/S123-ck4aejkwz5-aej7e

In this rule, there are two spaceships that, if you run them at step 2, looks the same as the glider and Glider 3736:

Code: Select all

#C They are actually c/8d and 2c/10.
x = 17, y = 4, rule = B3-ck4ci5aikn6i/S023-k4ij5aejk6ei8|B3kq4iy5ce6-ac/S123-ck4aejkwz5-aej7e
3A9.3A$A10.A3.A$.A8.A2.A2.A$10.3A.3A!
[[ STEP 2 ]]

Some other moving objects, c/12d, (2,1)c/14, (2,1)c/24, c/4, 5c/20 tub puffer, c/10:

Code: Select all

x = 61, y = 8, rule = B3-ck4ci5aikn6i/S023-k4ij5aejk6ei8|B3kq4iy5ce6-ac/S123-ck4aejkwz5-aej7e
2.A10.A11.3A8.3A10.A9.A$.2A9.3A10.A11.A10.3A7.3A$2A10.A13.2A8.A.A$37.
A11.A$37.A11.A$49.A$48.A.A$49.A!

Oscillators, p4, p6, p8, p18, p20, p40:

Code: Select all

x = 63, y = 7, rule = B3-ck4ci5aikn6i/S023-k4ij5aejk6ei8|B3kq4iy5ce6-ac/S123-ck4aejkwz5-aej7e
60.3A$.3A12.A9.2A31.A3.A$A3.A9.A.2A8.2A9.A9.A2.A$A3.A8.2A.A17.3A.3A6.
A2.A9.A.A$A3.A9.A11.2A9.A9.A2.A$.3A22.2A20.2A9.A3.A$60.3A!

[confocaloid]

The p40 oscillator can serve as a periodic 180-degree glider reflector, but I'm not sure how useful it is going to be. The glider timing doesn't seem to allow a two-reflector shuttle:

Code: Select all

x = 5, y = 15, rule = B3-ck4ci5aikn6i/S023-k4ij5aejk6ei8|B3kq4iy5ce6-ac/S123-ck4aejkwz5-aej7e
2bo$3bo$b3o6$b3o$o3bo2$bobo2$o3bo$b3o!

[WhiteHawk]

P42 gun

Code: Select all

x = 38, y = 36, rule = B3/S23|B38/S23
9bo$6b3obo$b2o2bo$b2o2bo3b2o$6bo4bo$7b4o2$7b4o$6bo4bo$b2o2bo3b2o$b2o2b
o$6b3obo$9bo2$4bo$2bo13bo$bo4bo2b2o4bo$bobo3bo2b2o3bo$6bo3b2o2bo$6bo4b
2o2bo8b2o4bo$2bo2bo17bobo4bobo$obo14bo4b3o6bo2bo$2o20b2o5bobob3o$12bo
10b2o3b4o3b2o$11bob3o8b3obobo5b2o$16bo2b2o4bo2bo6b3o$11b2o3bo2b2o6bob
o4bobo$10bo4bo13bo4b2o$11b4o2$11b4o$10bo4bo$11b2o3bo2b2o$16bo2b2o$11b
ob3o$12bo!

[LuveelVoom]

Two things:

-Has the space of alternating VN rules been explored? I have noted several on the discord with lifelike behavior. What ALTVN rules are able to escape bounding diamond/box and not guaranteed to explode? I’ve narrowed it down to 2^17 from 2^20 (drop b0 and only one alt term must have b1), but surely it can be narrowed more.
-Can any alternating triangular (the THREE cell neighborhood, not the 6 or 9 cell one) display lifelike behavior?

[unname4798]

Slightly lifelike behaviour:

Code: Select all

#R B13/SLE|B23/S123LE
!

Code: Select all

#R B12/SV|B/S1V
!

[confocaloid]

Two things:

-Has the space of alternating VN rules been explored? I have noted several on the discord with lifelike behavior. What ALTVN rules are able to escape bounding diamond/box and not guaranteed to explode? I’ve narrowed it down to 2^17 from 2^20 (drop b0 and only one alt term must have b1), but surely it can be narrowed more.
-Can any alternating triangular (the THREE cell neighborhood, not the 6 or 9 cell one) display lifelike behavior?

The latter question looks impossible to answer as stated. I don't know what is meant by "lifelike behavior" here, there seems to be no definition or expanation, that appears to be something that would significantly vary from person to person.

Note that by definition, a Life-like cellular automaton is a two-state outer-totalistic cellular automaton with Moore neighbourhood. So alternating CA aren't Life-like CA, and CA defined using von Neumann neighbourhood aren't Life-like CA either.

For the other questions:

Part of the space was explored by considering two-state cellular automata with von Neumann neighbourhood and strobing background. Check the thread on the topic:
viewtopic.php?f=11&t=2233&start=50 Gliders and replicators in Neumann neigborhood {4,4} CA

There is a natural way to reinterpret the entire space as a subspace of (non-alternating) three-state outer-totalistic cellular automata with von Neumann neighbourhood. The mapping sends dead cells to cellstate 0, and sends alive cells to cellstate 1+(t mod 2) where t is the current generation number. Out of 9 transitions (which is an upper bound on what is possible for three-state cellular automata), the two transitions (1-to-1) and (2-to-2) are forbidden, and the remaining seven transitions may be possible (depending on what are the rules). The rules are only defined non-arbitrarily for cell conditions involving at most one nonzero cellstate; cellstate 0 is quiescent background. This approach can lead to annoying blinking between two different nonzero cellstates but it's possible to improve that by choosing two colours close to each other.

A slightly better upper bound

(edit: I think that bound should be 2^16 rather than 2^17. One of two alternates must be in the subspace where the rules A0, B1 are followed and there are eight choices to be made for the remaining rules (B2 or A2, B3 or A3, B4 or A4, S0 or D0, S1 or D1, S2 or D2, S3 or D3, S4 or D4). The other alternate must be in the subspace where the rules A0, A1 are followed and again there are eight choices to be made for the remaining rules. That gives 2^(8+8) = 2^16 CA.)

Do you think the following would work for a slightly better upper bound on how many CA can escape the bounding box and aren't guarantied to explode?

Suppose the birth rule B1 (a dead cell with =1 alive neighbour is born in the next generation) is followed in "even-to-odd" ticks (gen 0 -> gen 1, gen 2 -> gen 3 and so on), and the nonbirth rule A1 (a dead cell with =1 alive neighbour remains dead in the next generation) is followed in "odd-to-even" ticks (gen 1 -> gen 2, gen 3 -> gen 4 and so on).

Any growth/movement can only happen due to the birth rule B1, in (at least some of) "even-to-odd" ticks. If the rules followed in "odd-to-even" ticks are such that no alive cell on an edge of the bounding box can possibly survive (i.e. all of the death rules D0, D1, D2, D3 are followed), then any growth/movement will be impossible. So at least one of survival rules S0, S1, S2, S3 must be followed in "odd-to-even" ticks, which means discarding 1 out of (16 = 2^4) possible ways to assign the future state of the middle cell for the four cell conditions S0/D0 (alive cell with =0 alive neighbours), S1/D1 (alive cell with =1 alive neighbour), S2/D2 (alive cell with =2 alive neighbours), S3/D3 (alive cell with =3 alive neighbours). So multiplying the earlier estimate (2^16) by 15/16 should give a slightly better upper bound.

Emulating a two-state cellular automaton with von Neumann neighbourhood and strobing background

This is a restatement of a known approach.
In the outer-totalistic case, suppose the strobing CA has birth conditions b and survival conditions s where b ⊆ {0,1,2,3,4}, s ⊆ {0,1,2,3,4}, 0 ∈ b, 4 ∉ s. Invert all odd generations so that the pattern remains finite, and derive the two rulesets to be alternated:

• For "even-to-odd" ticks, "evolving for one tick according to Bb/Ss followed by inverting the universe" is equivalent to evolving for one tick according to B{k ∈ {0,1,2,3,4} : k ∉b}/S{k ∈ {0,1,2,3,4} : k ∉s}. (Each of two sets of numeric conditions is complemented within {0,1,2,3,4})
• For "odd-to-even" ticks, "inverting the universe followed by evolving for one tick according to Bb/Ss" is equivalent to evolving for one tick according to B{4 - k : k ∈ s}/S{4 - k : k ∈ b}. (Exchange the birth conditions and the survival conditions, and replace every numeric condition k with 4-k)

Taking B02/S1V as an example:

• The given two-state outer-totalistic cellular automaton with von Neumann neighbourhood and strobing background has birth conditions b = {0, 2} and survival conditions s = {1}.
• For "even-to-odd" ticks, "evolving for one tick according to B02/S1V followed by inverting the universe" is equivalent to evolving for one tick according to B134/S0234V (the birth conditions are complemented within {0,1,2,3,4}, the survival conditions are complemented within {0,1,2,3,4}).
• For "odd-to-even" ticks, "inverting the universe followed by evolving for one tick according to B02/S1V" is equivalent to evolving for one tick according to B3/S24V (exchange the birth conditions and the survival conditions, and replace every numeric condition k with 4-k).

Code: Select all

#C Emulate B02/S1V explicitly
#C The spaceships are taken from https://conwaylife.com/forums/viewtopic.php?p=206844#p206844
x = 214, y = 100, rule = B134/S0234V|B3/S24V
#C Spaceships from https://conwaylife.com/forums/viewtopic.php?p=206844#p206844
19$39bo2bo$38bob4o$40bobo$36bo3b3o$35bo3b2ob2o$36b4o3bo$36bobo2bob3o2b
o$35b5o2b6obo$36bo2b7o2bobo$41b7o$41b6obo$42bob5o$42bobobo2bo$41bobob
2o3bobobo$42bo4bo4b4o$43bo4bo4bob3o$52bo$48b2obobo2bo$29bo19b2ob2o77b
2o$28bobo17b2o4bo2bo70b2ob2ob2o15b2o16b2o4b2o$29b3o17b2o4bobo68bobob4o
bobo12b4o16b2o2b2o15bo6bo$27b2ob3o17bobo3bobo68bo8bo14b2o15b2o2b2o2b2o
14b6o$29b3obo16bo3b2obo5bo63b3o4b3o32b2ob2ob2o13b2ob4ob2o$26b4o26bobob
o3bo64bo4bo14b6o16b4o17b6o$29bo2bo26b2o2bo65bo4bo14b2o2b2o15b6o17b4o$
24bo3bo29b3o3b3o80b10o13bo4bo$22bobo7bobo26bobo2bobo80b6o16bo2bo$20bob
obobo5bo2b2o25bo3bob2o78b8o13b2o4b2o$19bobob3o6bo2bo21bobobob3o2bo77bo
4b2o4bo11b2o4b2o16bo2bo$20b4o7b2o3bob2o18bobo2b3obo80b8o12bo8bo$21b3o
6b2o2b2o2bo21bo2b5o77b3ob6ob3o35b2o$22bo2bob4ob2o2b2obo20b3o2b2o6b2o
76b2o15b2o6b2o16b2o$23bo8b2o2bobobo23b2obo5bo73bo2bo2bo2bo$27bo3bo3bo
3b3o19b3o4b2o3bo2bo68bob2obo2bob2obo34b4o$28b2obo2bo5bo21bo5b3o4b2o72b
2o2b2o37b2o2b2o$28bobob2o35b2obo3bo70b2obo2bob2o$7b3o22bo40b3o71b2o6b
2o35b6o$6b2o4bo17b2obo36bo76bob6obo36bo2bo$6bo2bobobo16bobobo31b3o2bo
76bob4obo$4bo2bob2o2b2o18b3o30bo4bo76bo2b2o2bo$5b4ob2obobo18bo34bobo
75b4o2b4o$5bobo2bo57b3o77b3o2b3o$7b2ob3o2bo130b3ob4ob3o$9bobo4bo130bo
8bo$6bo3bob3o130bo5b2o5bo$9b2ob5o128bo3b6o3bo$10bo4b2obo126bobo2b4o2bo
bo$9bo2bo5bo2bo123bo2b8o2bo$18bo128bo2b4o2bo$14b2o2bo129bobo2bobo$15bo
132bobo2bobo$16bo132bo4bo$15b3o131b2o2b2o$16bo132bo4bo$149b6o$148b2ob
2ob2o$148bob4obo$148bob4obo$150bo2bo!

[LuveelVoom]

The latter question looks impossible to answer as stated. I don't know what is meant by "lifelike behavior" here, there seems to be no definition or expanation, that appears to be something that would significantly vary from person to person.

Lifelike here means able to escape bounding diamond/box but not guaranteed to explode.

[confocaloid]

[...] able to escape bounding diamond/box but not guaranteed to explode.

There are spaceships, but a collision between two spaceships doesn't have to explode:

Code: Select all

x = 18, y = 3, rule = B1/S0LE|B2/S0LE
15b2o$b2o14bo$o!
#C [[ GRID THEME MCell ]]

Long-lived soups, there might be some spaceships:

Code: Select all

x = 1, y = 1, rule = B13/S12LE|B23/S23LE
b!
#C [[ GRID THEME MCell RANDOMIZE RANDWIDTH 32 RANDHEIGHT 16 RANDFILL 25 ]]

A similar argument should give an upper limit of 2^12 = 4096 CA where expansion is possible but not guaranteed. (Likely can be significantly improved.) One of two alternates needs to be in the subspace where the rules A0, B1 are followed; the remaining six choices of rules (B2|A2, B3|A3, S0|D0, S1|D1, S2|D2, S3|D3) can be made arbitrarily. The other alternate needs to be in the subspace where the rules A0, A1 are followed; the remaining six choices of rules again can be made arbitrarily.

[Citation needed]

This is a strange wick that evolves into a "P14" oscillator in an inner-totalistic rule. Unfortunately, the rule is explosive.

Code: Select all

x = 62, y = 1, rule = B2/S1|B3/S2
6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o!

Code: Select all

x = 64, y = 64, rule = B26/S158|B378/S2678
3obobo8b2ob2ob2ob3o2bobob2obo2b3ob2o2b3ob6obo2bo$o2b3obo4b3ob3o2bob2o
4b3o2bobo4bo2b2o3b4ob2obob3obo$b2o6bobo4b6ob2ob4ob2o2bobo2b2o2b3o3b2o
3bob2obob2o$3obobo8bo2b3obob3ob3obo2b4ob2o2bo5b2obo2b4o$2bob2o7bob2o2b
4ob2obo3bobob2o3b2o2b4o2bo2bobo4bo2bo$2bo2b2o2b2o2bob5o2bobo2b9o2b2ob
ob2o5bobo3b4ob2o$o4bo4bobo4b3ob6obobo3b2obobob4o2b2o4bo2bo3bob2o$ob2o
b2ob2obo2bob2o3b2o2b2obo3bobo5b2o2b3obobobob3o2b3obo$2o2bo2b7obob2o4b
3ob4o3b2ob2o2bobobob2o3bo3bo2b3obo$bobobobo3bobo2bo2bo3bo2b3ob2obo2b7o
bobobobo4bo3b3o$2ob3obob2o4b3ob4o3bo2b2o3bo2bo2b2o6b4o2b2ob6o$2obob4o
2b2o2bo6bo2b2obo3b3o7bob2obo2bobob3ob3o2bo$2o5bo4b3o3b3obo2b9ob2ob4ob
o5bobob2o4bo$b5o3b2obo3bo3bo5bo3bo2b2o2b2ob6o2b2obob2o3b2obo$2bob4o4b
o2b3o5b2obo3b2o2bo3b9obo2b5o2b4o$10o2bo2b3o2bo3b6o6bo14b2ob2o3bob2o$o
b6obob3ob3ob2ob2ob2ob2o5b3ob2ob4o4bo4bobo2bobo$4b7o2bobob2o2b2o3bo2b3o
3bo4bobo2b2ob2o2b5ob5o$2bob2o3b7o2bob2o2bo2bo2bo5bobob3o3bob2o2b5o4b2o
$obo2bobobo2b2ob2obobo2b3o2bobo2bo7b3obobo4bo4b2ob3o$3bob8o2b5ob3o2bo
3bo2bobob2ob3o3bob5o3bo2bo3bo$o5b2ob2o3bob2o2bobob2o3bo2bo3b3o3bo4bo5b
3obob2o2bo$3b3o2bo3b2ob2ob5o2bo3bobo2b3ob3ob2o2b3o2bo2b2o2bo$ob2obobo
6bo4bob2o2b6o2bo2bobob2obo4bobob2obobobob3o$2bo6bob4obob2o3b10obob2ob
2o3bobo2b4obo2b4o$o5b4ob5o3bobo2b2o3bob2o2bo5bo5bobo2b2o2b6obo$3bo2b4o
b3o2b3obo2b2o2bo3bobobo2bob4o2b3o3b3o2b5obo$3o2bob2o4bo2bo3bobob2o2b4o
6bo3b2obo2bobo5b8o$5b2o2bobobo2bo3b8ob8o5bob2ob3o4bob3obobo$bo2bobo2b
2obo2bobobo2b2o3b3o2b2o2b2o2b2ob2ob2o4bob5obob2o$4bo2b4o2bob2ob2o2b2o
2b2o3b3obo5bo4bo3b2obo3b2o2b2o$2o7bobobo3b3o2b2o2b3obobo2bo2b2ob3o3bo
7b3o4b2o$3o3b3obo2bobob2o3bob4o2bobo7b3ob2o2b5o3b2ob3obo$3ob2obo2bob2o
bob3o2b2ob6ob2o2bobo2bobob2o3bobobob3obob2o$2b4o2b6obob3o2bob4o3b2o4b
2o2b3obo2b4o4b2obo2b2o$2bobob7o4bob5obo3b2o6b4o3bob4o10b2obo$b2o4bobo
b2o2bobo8bo2b4o2b2ob2o2bo3bo2b3ob3o2b2o2b2o$o2bobo3b6obo2b3o3b3o5b3o4b
o2bob6ob2o2b4o2bo$2b4ob4obobob2o4bobo5bo3b5o2b2o4bo2b2ob4ob3ob2o$o3bo
2b5o2bo3b2o3b4obob2ob5obob2o3b8o3b2o2bo$b3o2bob2ob6obobo8b2ob4obo4bo4b
2ob2o4bob5o$b2o2b2o2b5o3b3obob2o2bo3b2o2b4o2bo3b5o2bobo3b2o3bo$o2bob2o
2b2obo4b3o2bo4b2o2bobo5b2o2b3o3b3obob2ob2obo$2ob2o5b2o3b2o3bob2ob2o2b
2o3bo5bo2b3ob2obobobo3bob2o$bo2b4o2b4o3bob3ob5o2b2o2bob2o2b3o3bo2b3o3b
3o3b2o$2bob3o3bo3b2ob6ob4ob3ob3o2bo2b2o2b4o2b2o4bo2b2o$obobob3obo2bob
5obob2o2bob2o5b6ob2o3bobob4o2b2o$bo5b5obob2ob2o2bo3bo2b3o4b5ob2ob3o3b
o2bo2bo2bo$o2b5o3bob2ob2o4bo4b3o2bob3ob4o4bobobobobobo3bo$b2ob2o3bo2b
obob2ob5ob3obob2ob2obo2b2ob2o2bo2b2obo3bo3b3o$o2bob2obo2bo2b2o5b3ob2o
2b2o2bo3bo2bo2b2o3b2obob2o2b2obo$obo4b2ob5o5b4obob2o5bobo2b2o2bo2bo3b
ob4o2bo2b2o$3b2ob3o3b5o3b3ob3ob4o3b2obob2ob3ob3o3bo2bo3b4o$3b2obob2ob
3obo2b3o2b2ob2ob5o3bob3obobo7b2o2bobob2o$3ob4obo2b4obobob2obob2o3bob2o
b4o2bob2ob2obob7ob4o$2obo6bo2bo2bo2b3o8bobobob3o2b3o2bo2bo2bobobobob3o
$2bo2bob2obob2o3b2obobo3bo2bob3obo2bo2b2o4bob2o3bobobo2bo$2bobo2bo2bo
bob2ob6o2b6obo6bob2o3bobo2b2o2b2obobo2bo$b2obo2bo2b2ob2o2b3ob2obob2o2b
2o2bo4b3o4bo3b3ob4o5bo$bobobob3obobob2o2b2o2b2o3bobo3b2o3bo2b4obo3b2o
b3o3bo$o5bo4bo2b2o4bo6bo2bo5b5o2bobobobob2obo3b2o$3bo3b2o2bobo2b3ob2o
bo2bo2bob4ob2ob2o2bo3bo3bo2bobob2o3bo$2ob2o2b5o2bo4b2ob2ob3ob2o4bo2b2o
2bo2bob3o2bo4b2o2b2o$o2b2o2b2o5b2o6b2o4bo3bobobo6bobo2bobo3bobo2bo2b2o
!

Two natural RRO-like patterns

Code: Select all

x = 7, y = 12, rule = B26/S15|B378/S2678
3bo2bo$4b2o5$o$bo$o2$5bo$4bobo!
Methuselah lifespan near 1700

Code: Select all

x = 11, y = 11, rule = B26/S15|B378/S2678
4bo2bo$5b2o9$11o!
Unknown natural spaceship speed

Code: Select all

x = 70, y = 17, rule = B26/S15|B378/S2678
6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o4$6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o
4$6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o4$6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o2b
6o4$6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o2b6o!
Clean fuse

All these are inner-totalistic.

[ababa11e]

Here's this example soup for a probably explosive rule which has a weird method of expansion where gliders hit these domino-shaped p2 oscillators or themselves, and either duplicate themselves, and make more dominos in the exact way that if left uninterrupted and with a few copies of that collision, it'll keep going for a while. Or they just hit something that causes this weird expansion to die out.

These expansion tend to look like loop-like diamonds.

Here's the example soup.

Code: Select all

x = 71, y = 58, rule = B2ce5aen/S23ry4cen5iny|B23aq4ce5/S12kn34cin5ainqy
4obo2b3ob2ob2o2bobo2bo2b4o9b11ob4o5bob3ob3o$2b4o2bo2b2o3bo4bobo2bob2o
3bo4b2obob3ob3ob4o3b2obobo2b2ob2o$8bobo2bo2bob7ob7o2bo2bo5bob6ob3o5b2o
bobo2b2o$b2obobob2obobobo3bob2o3bobo2bobobo2b4o3bob3o3bob3obo5b3o2bo$
2o6bob2ob3ob2ob3o2b3ob9o2b5obo2bo3b3ob3o6b4o$ob2o2b3o2b5ob3o2b6o2b2ob
2o4b4o2bobo3b3o2b2obobo3b4o$bo4b2o2b2obobo2bo2bob2o2b2obob2o3b3o2bob2o
b5ob3o3bob4obo2bo$4obo5bo3bobob3ob2o2b2obobo4bobo3b3ob3obo3b2ob2o5b5o
$2b5o2b3obo3b9ob2ob4obobobo2bob3ob2o2bobob2o9b4o$2ob2o2b3ob5ob2obo2bo
2bobob5ob4ob2obobobo2b2ob3o2b3obo3b4o$3bo2bo2b2o10b3o5bobo2b2ob3obo3b
3o2bob5ob2o4b2o2b2o$2o2bo2bobobo2bobobo2bo4b2o5b3obo3b2ob3o3bo3b2o4b2o
6b3o$bo2b4o2b2obo2bo7b2obo2bo2bob2o2b2o2b3o2b2ob4ob2o6bob2o$3o2bo3bob
o3bob3ob2obobob4o3b4o9b4obobo6b2ob2ob2o$5o3bo3bo2b3o2bo2bo4b3ob3ob2o3b
2ob11o6b4obo$2bobob3obo5bob3o6bo3bob2o3bo2bo3b2obo3bo2b3obob4obob2o$b
obobob3obobobobobo2bobob5obob2ob2o15b2ob2ob2ob2obob2o$3o2b2ob3ob2o2b2o
bo4bobob2ob3o2b5o2bo3bo2bob2o3b3obo4b2obo$3o3bo5b4o3bo2bob3obo2bob4ob
2o3b8ob6o3b6o3bo$2o2b2o4bo3b3o2bo3b4o3b2ob2obo3bo2b2ob2obobob2o3bo2b3o
2bo2bo$o2b2o7b2ob2o2bobob2o3b2o3bo2bob10ob4obobo11b3o$b2o2bob2obob3o10b
obo2b2ob3o2bob2o2b2obob4o2b12obo$2bob2o3bob3o3bo2bobob2o2b2o4bobobo5b
3o3b4o2b2o4bo3b3obo$2obo3bo2bo2b2obo3bo2bob2o3b2o2bob2ob2o2b5o2bo6bo2b
o2b2ob5o$ob2o3bobo2b2o2b3o6b2obobob4ob2obo3b3ob4o2b2o2b2ob3o3bob2o$ob
obo5bo8b2o2bo3b4obo2b2ob2o6b6o2b4o2b2obo3b2o$3obob2obo5bob3ob3ob3o2bo
b6o2bo2bo2b3o2b2o4b2o2bo4b3o$2obo5b3ob2o8bobob3obobob4o3b2ob5o2bob4ob
10o$obo2bob4obo4b2obob5ob2o2b2ob2ob3obo4b2ob2o5bo3bo2b2ob2o$3o5bobo2b
o2b5ob2obob3obo2bobobo5b2o2bo2b4obob3o2b3o2b3o$bobobo2bobobob2o2bobob
o2bo4bo2bo2b2o2b2ob4o3b7o6bo3bob2o$2bo2bobo3b4o2bo3bo3bo4bo5b4obob2ob
2o2bo3bo2bob2ob2ob3o$8b3obob2o2b3obob2o8b2o2b2o3bob3ob4o3b4ob4o2b2o$o
2b3o2bobobo2b2ob2o3b3obobo2bob2ob2obo4b3ob2o4bobob2ob2o3bo2bo$b3ob2o2b
4o3bobo3bo2b5o2bo2b3ob3o4bobo2bo3b5o3bo2bobo$5bob3obo2bobob3o3bo2b2ob
obob2ob4obobo2bo2bobobob4o3bobo$obobob5ob2o2bo5bob2ob2o7b5o3b2obobo3b
o2b2o5bobob2obo$2bobo4b2o2b3o4b3o4bo2bo6bo3b2o4b5o6bobo3b3o2b2o$2b2ob
5obob3o2b2o5b2o6bob6o3bo3bob2o4bo2b3ob3o4bo$3b2o2b2obo2b5ob2obo4bo4bo
b4ob5ob4o3b3ob3ob2obo$b5o3bo4bobobobob2o2bo5bo4b3ob2o2b4o2bo3b2ob4o2b
2o2bobo$b2ob2o3b4obo2bo4bo2b2o2b2o2b2ob4o3bo3b2o4bob2o2bob2obo5bo$bob
2obob8ob2ob3o2bob2o2bobo3b2ob3obo3bo2b6o2b3o2b2obob2o$obo3bo2b2o5b2ob
o3b3o2b2ob2o2bo2bobobo2b6obob3o2bob2o3bob2o$6bobo2b3o2b2obo3bo3b2o3b2o
4b2o2bo2b3o2b2ob3o3b3o2bo$bo4b2obo6bo2bobo2b2ob3ob2o3bo3bo3bob2ob2ob4o
b2o5bob2obo$b2o2b3o2bobo2b2ob4ob4ob2ob8o2b2o2b7obob4ob3o2bobo$bobo2bo
b3o2b3o3bo2b5ob2ob6ob4o2bobo2b2ob7o4bo4bobo$2bo2bo5b5ob2ob7ob2o3bob3o
2b2obob3o2bo3b3ob2o3bo2bo2b2o$7o2bo3b2o3b3o2bobo3bobo2bobob3ob4obo2b2o
4bo3bo2bobob2obo$ob3ob4o2b2o3b2o2b3o4bob9o7bob2o2bo2b2o2bob2o2bo2bo$b
ob5ob2ob6ob5ob8o4b5o3b3o3b2o4b2ob2o2b4o2bo$b2o3bob2o2bo2bo2bobob2o2bo
b3obobo2bo4bo2b3obo3b5o3bob2o2b4o$ob3ob2o3b2o2b4obob3o3bo2b8o2b2o2bo2b
obob2obobob2o2bob2ob3o$b6o2b7obo2bob2obo3bo4bo2bobo2bo2bob2obobo3b4o2b
3o$5o4b3o2b2o3b2ob2o2bo7bo3b2ob3obo6b2o2b2ob5ob3o$ob3o2b5obo3b2obob2o
bo2bobobob7o4bo5bo3b3o3b2obo2b4o$obob2obo2bo4b5o3bo5bob2o3b2obo2bob4o
3bo2bob2o2b2ob2o4b2o!

[hth3]

Quadratic replicator:

Code: Select all

x = 4, y = 4, rule = B2e3aciy4jnw68/S23678|B3aciy6e/S234cz68
2o$obo$bobo$2b2o!

Pond oscillator:

Code: Select all

x = 4, y = 4, rule = B2e3aciy4jnw68/S23678|B3aciy6e/S234cz68
b2o$o2bo$o2bo$b2o!

Small shuttle:

Code: Select all

x = 4, y = 9, rule = B2e3aciy4jnw68/S23678|B3aciy6e/S234cz68
2b2o$2b2o2$obo$obo$bo2$3bo$2b2o!

Sparker:

Code: Select all

x = 5, y = 5, rule = B2e3aciy4jnw68/S23678|B3aciy6e/S234cz68
3bo$2bobo$bobo$obobo$bobo!

Loaf hassler:

Code: Select all

x = 8, y = 8, rule = B2e3aciy4jnw68/S23678|B3aciy6e/S234cz68
5b2o$6bo$4bo$3bobo$2bo2bo$o2b2o$2o4b2o$6b2o!

Natural capped gun:

Code: Select all

x = 6, y = 8, rule = B2e3aciy4jnw68/S23678|B3aciy6e/S234cz68
2o$obo$bobo$2b2o2$3bobo$3bobo$4bo!

Another small shuttle:

Code: Select all

x = 11, y = 5, rule = B2e3aciy4jnw68/S23678|B3aciy6e/S234cz68
9b2o$5b2o2b2o$4b3o$o4b2o$2o!

Rarer replicator rule:

Code: Select all

B2e3aciy4jnw68/S23678|B3aciy6e/S234cz67e8