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n_states:4
neighborhood:Moore
symmetries:permute
var a={1,2,3}
var b={1,2,3}
var c={1,2,3}
var d={1,2,3}
var e={1,2,3}
var f={1,2,3}
var g={1,2,3}
var h={1,2,3}
var s={0,1,2,3}
var t={0,1,2,3}
var u={0,1,2,3}
var v={0,1,2,3}
var w={0,1,2,3}
var x={0,1,2,3}
var y={0,1,2,3}
var z={0,1,2,3}
0,1,1,0,0,0,0,0,0,2
0,1,1,1,0,0,0,0,0,3
0,2,3,0,0,0,0,0,0,1
0,2,3,3,0,0,0,0,0,1
0,2,2,3,3,0,0,0,0,1
1,a,b,c,0,0,0,0,0,1
2,a,b,c,0,0,0,0,0,1
3,a,b,c,0,0,0,0,0,1
1,s,t,u,v,w,x,y,z,0
2,s,t,u,v,w,x,y,z,0
3,s,t,u,v,w,x,y,z,0
--State-2 cells are created from two state-1 neighbours
--State-3 cells are created from three state-1 neighbours
--State-1 cells are created from any of:
----One state-2 neighbour and one state-3 neighbour
----One state-2 neighbour and two state-3 neighbours
----Two state-2 neighbours and two state-3 neighbours
--All three ON states are subject to S3
It reminds me of both Brian's Brain and MilhinSA. Similarly to both of them, complicated codependent rake systems tend to form. Like any self-respecting CA, it has oscillators, spaceships, puffers, rakes, guns, breeders, replicators, and so on.
Notable objects include this tiny gun:
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x = 4, y = 2, rule = ice8
4A$.A!
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x = 20, y = 9, rule = ice8
A18.A$A18.A$2.A14.A$2.A14.A2$3.2A$3.2A$3.2A$3.2A!
I'm fairly sure this is the smallest quadratic growth pattern, at 6 cells:
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x = 5, y = 3, rule = ice8
3.CB2$B2CB!
The vast majority of spaceships are c/1, but this tiny c/2 spaceship is also very common:
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x = 2, y = 3, rule = ice8
A$.A$A!
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x = 17, y = 1, rule = ice8
4A3.4A2.4A!