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@RULE Velcro
Originally posted by velcrorex on 2010-04-16
https://conwaylife.com/forums/viewtopic.php?f=11&t=376#p2183
@TABLE
n_states: 5
neighborhood:Moore
symmetries:permute
var a={0,2,4}
var b={0,2,4}
var c={0,2,4}
var d={0,2,4}
var e={0,2,4}
var f={0,2,4}
var g={0,2,4}
var h={0,2,4}
var i={1,3}
var j={1,3}
var k={1,3}
var l={1,3}
var m={1,3}
var n={1,3}
var q={0,1,2,3,4}
var r={0,1,2,3,4}
var s={0,1,2,3,4}
var t={0,1,2,3,4}
var u={0,1,2,3,4}
var v={0,1,2,3,4}
var w={0,1,2,3,4}
var x={0,1,2,3,4}
var y={0,1,2,3,4}
# state 0 transition rules:
0,i,j,a,b,c,d,e,f,4
0,i,j,k,a,b,c,d,e,2
0,i,j,k,l,a,b,c,d,1
0,i,j,k,l,m,a,b,c,1
0,i,j,k,l,m,n,a,b,3
# state 1 transition rules:
1,i,j,a,b,c,d,e,f,1
1,i,j,k,a,b,c,d,e,1
1,i,j,k,l,a,b,c,d,3
# state 2 transition rules:
2,i,a,b,c,d,e,f,g,4
2,i,j,a,b,c,d,e,f,1
2,i,j,k,a,b,c,d,e,2
2,i,j,k,l,a,b,c,d,3
# state 3 transition rules:
3,a,b,c,d,e,f,g,h,4
3,i,a,b,c,d,e,f,g,4
3,i,j,a,b,c,d,e,f,3
3,i,j,k,a,b,c,d,e,3
3,i,j,k,l,a,b,c,d,2
3,i,j,k,l,m,a,b,c,0
3,i,j,k,l,m,n,a,b,4
# state 4 transition rules:
4,i,j,a,b,c,d,e,f,2
4,i,j,k,a,b,c,d,e,4
4,i,j,k,l,a,b,c,d,4
4,i,j,k,l,m,a,b,c,2
# Death is the catchall rule
q,r,s,t,u,v,w,x,y,0
A p23 failed replicator drives most activity in this rule. Here is a strange type of successful replicator which gives the illusion of relativistic motion, discovered by dvgrn in that thread:
The rule is apgsearchable, albeit slowly- my hauls were averaging 40-70 soups per second until hitting a chaotic growth pattern and seemingly getting stuck in the mud for almost an hour. Here's an example of such (apparently) chaotic growth:
Almost every soup boils down to one of two common objects, the high-period spaceship and a p6 oscillator. nbsearch was not too fruitful either, but it did yield some C4_4 still lifes(!), one C2_4 still life, and some other oscillators:
The ellipses represent a few dozen C4_4 still lifes I threw out because they were boring, but some of the still lifes can actually act catalytically so it might be worth looking into. I don't know why they all turned out 6x6 and all but one having the same symmetry.