Rule:LifeBellman

@RULE LifeBellman

https://conwaylife.com/forums/viewtopic.php?p=18953#p20578

Note: earlier variants of this rule were also found: https://conwaylife.com/forums/viewtopic.php?p=16625#p16649

@TREE

num_states=6 num_neighbors=8 num_nodes=90 1 0 2 2 4 4 5 1 0 2 2 3 4 5 2 0 0 0 0 0 1 1 0 1 2 3 4 5 2 0 3 0 3 0 1 2 1 1 1 1 1 1 3 2 4 2 4 2 5 1 1 1 1 3 3 1 1 1 1 1 3 3 5 2 3 7 3 8 3 3 2 3 8 3 8 3 3 2 1 3 1 3 1 1 3 4 9 4 10 4 11 3 4 10 4 10 4 11 3 5 11 5 11 5 5 4 6 12 6 13 6 14 2 7 0 7 0 7 7 1 0 1 1 3 3 5 2 8 0 8 0 8 17 2 3 7 3 17 3 3 3 9 16 9 18 9 19 2 3 17 3 17 3 3 3 10 18 10 18 10 21 3 11 19 11 21 11 11 4 12 20 12 22 12 23 3 11 21 11 21 11 11 4 13 22 13 22 13 25 4 14 23 14 25 14 14 5 15 24 15 26 15 27 2 7 1 7 1 7 7 3 16 2 16 2 16 29 2 17 1 17 1 17 17 3 18 2 18 2 18 31 3 19 29 19 31 19 19 4 20 30 20 32 20 33 3 21 31 21 31 21 21 4 22 32 22 32 22 35 4 23 33 23 35 23 23 5 24 34 24 36 24 37 4 25 35 25 35 25 25 5 26 36 26 36 26 39 5 27 37 27 39 27 27 6 28 38 28 40 28 41 3 2 2 2 2 2 5 3 29 5 29 5 29 29 4 30 43 30 43 30 44 3 31 5 31 5 31 31 4 32 43 32 43 32 46 4 33 44 33 46 33 33 5 34 45 34 47 34 48 4 35 46 35 46 35 35 5 36 47 36 47 36 50 5 37 48 37 50 37 37 6 38 49 38 51 38 52 5 39 50 39 50 39 39 6 40 51 40 51 40 54 6 41 52 41 54 41 41 7 42 53 42 55 42 56 3 5 5 5 5 5 5 4 43 43 43 43 43 58 4 44 58 44 58 44 44 5 45 59 45 59 45 60 4 46 58 46 58 46 46 5 47 59 47 59 47 62 5 48 60 48 62 48 48 6 49 61 49 63 49 64 5 50 62 50 62 50 50 6 51 63 51 63 51 66 6 52 64 52 66 52 52 7 53 65 53 67 53 68 6 54 66 54 66 54 54 7 55 67 55 67 55 70 7 56 68 56 70 56 56 8 57 69 57 71 57 72 4 58 58 58 58 58 58 5 59 59 59 59 59 74 5 60 74 60 74 60 60 6 61 75 61 75 61 76 5 62 74 62 74 62 62 6 63 75 63 75 63 78 6 64 76 64 78 64 64 7 65 77 65 79 65 80 6 66 78 66 78 66 66 7 67 79 67 79 67 82 7 68 80 68 82 68 68 8 69 81 69 83 69 84 7 70 82 70 82 70 70 8 71 83 71 83 71 86 8 72 84 72 86 72 72 9 73 85 73 87 73 88

@TABLE

1. state 0: OFF
2. state 1: ON
3. state 2: History ON now OFF
4. state 3: Catalyst ON
5. state 4: Catalyst OFF
6. state 5: Catalyst UNKNOWN

n_states:6 neighborhood:Moore symmetries:rotate8

var a={0,2,4,5} var b={0,2,4,5} var c={0,2,4,5} var d={0,2,4,5} var e={0,2,4,5} var f={0,2,4,5} var g={3} var h={0,1,2,5} var i={0,1,2,3,4,5} var j={0,1,2,3,4,5} var k={0,1,2,3,4,5} var l={0,1,2,3,4,5} var m={0,1,2,3,4,5} var n={0,1,2,3,4,5} var o={0,1,2,3,4,5} var p={0,1,2,3,4,5}

var i1={0,1,2,3,4,5} var j1={0,1,2,3,4,5} var k1={0,1,2,3,4,5} var l1={0,1,2,3,4,5} var m1={0,1,2,3,4,5} var n1={0,1,2,3,4,5} var o1={0,1,2,3,4,5} var p1={0,1,2,3,4,5}

var q={1,3} var R={1,3} var S={1,3} var T={1,3} var u={3,4}

1. Catalyst-doesn't change with unknown neighbour

3,5,i,j,k,l,m,n,o,3 5,3,i1,j1,k1,l1,m1,n1,o1,5 0,5,3,j1,k1,l1,m1,n1,o1,0 0,5,j1,3,k1,l1,m1,n1,o1,0 0,5,j1,k1,3,l1,m1,n1,o1,0 0,5,j1,k1,l1,3,m1,n1,o1,0 0,5,j1,k1,l1,m1,3,n1,o1,0 0,5,j1,k1,l1,m1,n1,3,o1,0 0,5,j1,k1,l1,m1,n1,o1,3,0

1. Catalyst-neighbour birth

4,R,S,T,a,b,c,d,e,3 4,R,S,a,T,b,c,d,e,3 4,R,S,a,b,T,c,d,e,3 4,R,S,a,b,c,T,d,e,3 4,R,S,a,b,c,d,T,e,3 4,R,a,S,b,T,c,d,e,3 4,R,a,S,b,c,T,d,e,3

1. Catalyst-neighbour survival

g,R,S,T,a,b,c,d,e,g g,R,S,a,T,b,c,d,e,g g,R,S,a,b,T,c,d,e,g g,R,S,a,b,c,T,d,e,g g,R,S,a,b,c,d,T,e,g g,R,a,S,b,T,c,d,e,g g,R,a,S,b,c,T,d,e,g

1. normal 3-neighbour birth

h,R,S,T,a,b,c,d,e,1 h,R,S,a,T,b,c,d,e,1 h,R,S,a,b,T,c,d,e,1 h,R,S,a,b,c,T,d,e,1 h,R,S,a,b,c,d,T,e,1 h,R,a,S,b,T,c,d,e,1 h,R,a,S,b,c,T,d,e,1

1. 2-neighbour survival

q,R,S,a,b,c,d,e,f,q q,R,a,S,b,c,d,e,f,q q,R,a,b,S,c,d,e,f,q q,R,a,b,c,S,d,e,f,q

1. ON states 3 and 5 go to history state 4 if they don't survive

g,i,j,k,l,m,n,o,p,4

1. Otherwise ON states die and become the history state

q,i,j,k,l,m,n,o,p,2

@COLORS

1 255 255 255 2 0 0 0 3 0 191 225 4 255 0 0 5 120 255 0