Doomedcell rulespace

[Pteriforever]

Basically, this is a family of 3-state rules in which:

-- A state 1 cell is born if it has B neighbours
-- A state 1 cell remains a state 1 cell if it has S neighbours
-- A state 1 cell becomes a state 2 cell if it has D neighbours
-- Otherwise, a state 1 cell dies
-- A state 2 cell always dies

For instance, hobbyprogrammer77's DeathByAge2 would be expressed as B3/S/D23.

The first and most obvious thing to do here is B3/S/D012345678; that is, every cell lives exactly two generations.

Code: Select all

n_states:3
neighborhood:Moore
symmetries:permute

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

var s={0,1,2}
var t={0,1,2}
var u={0,1,2}
var v={0,1,2}
var w={0,1,2}
var x={0,1,2}
var y={0,1,2}
var z={0,1,2}

1,s,t,u,v,w,x,y,z,2
2,s,t,u,v,w,x,y,z,0
0,a,b,c,0,0,0,0,0,1

This is a very dead rule, these are the only stable objects I've seen:

Code: Select all

x = 30, y = 5, rule = doomedcellb3sd012345678
2.B$18.B.A5.A2.A$A3.A5.A2.B3.A2.2B4.B2.B$.3B6.2B2A3.A2.2B4.B2.B$2.A7.
A2.B4.B.A5.A2.A!

So far, the most interesting rule I've found here is B356/S48/D126:

Code: Select all

n_states:3
neighborhood:Moore
symmetries:permute
var a={1,2}
var b={1,2}
var c={1,2}
var d={1,2}
var e={1,2}
var f={1,2}
var g={1,2}
var h={1,2}
var s={0,1,2}
var t={0,1,2}
var u={0,1,2}
var v={0,1,2}
var w={0,1,2}
var x={0,1,2}
var y={0,1,2}
var z={0,1,2}
0,a,b,c,0,0,0,0,0,1
0,a,b,c,d,e,0,0,0,1
0,a,b,c,d,e,f,0,0,1
1,0,0,0,0,0,0,0,0,0
1,a,0,0,0,0,0,0,0,2
1,a,b,0,0,0,0,0,0,2
1,a,b,c,0,0,0,0,0,0
1,a,b,c,d,0,0,0,0,1
1,a,b,c,d,e,0,0,0,0
1,a,b,c,d,e,f,0,0,2
1,a,b,c,d,e,f,g,0,0
1,a,b,c,d,e,f,g,h,1
2,s,t,u,v,w,x,y,z,0

This is the most well-disguised exploding rule I've ever seen. Random soups tend to die out, resulting in a mess of c/2 spaceships and 13c/388 diagonal rakes (!!!). However, over the course of tens of thousands of generations, new rakes form out of collisions, often causing a very slow explosion.

[Extrementhusiast]

If state 2 cells do not contribute to birth, then this is just a renamed Generations.

EDIT: Whoops, that isn't Generations. That's a bit of a "two-path" Generations.

[Pteriforever]

Yeah, state 2 cells contribute to birth, sorry if that was unclear

[bprentice]

Here is another member of this rule family with a strange puffer. It is B37/S46/D0123578 here:

Code: Select all

n_states:3
neighborhood:Moore
symmetries:permute
var a={1,2}
var b={1,2}
var c={1,2}
var d={1,2}
var e={1,2}
var f={1,2}
var g={1,2}
var h={1,2}
var s={0,1,2}
var t={0,1,2}
var u={0,1,2}
var v={0,1,2}
var w={0,1,2}
var x={0,1,2}
var y={0,1,2}
var z={0,1,2}
0,a,b,c,0,0,0,0,0,1
0,a,b,c,d,e,f,g,0,1
1,0,0,0,0,0,0,0,0,2
1,a,0,0,0,0,0,0,0,2
1,a,b,0,0,0,0,0,0,2
1,a,b,c,0,0,0,0,0,2
1,a,b,c,d,0,0,0,0,1
1,a,b,c,d,e,0,0,0,2
1,a,b,c,d,e,f,0,0,1
1,a,b,c,d,e,f,g,0,2
1,a,b,c,d,e,f,g,h,2
2,s,t,u,v,w,x,y,z,0

and here is the puffer:

Code: Select all

x = 7, y = 6, rule = dc2
4.B$A5.A$3A3.A$3A3.A$A5.A$4.B!

Brian Prentice