Emergence of Self-Replicating Loops in an Interactive, Hardware-Implemented Game-of-Life Environment - Cellular Automata - page 131

C,N,E,S,W ->C+ C,N,E,S,W ->C+ C,N,E,S,W ->C+ C,N,E,S,W ->C+

A=-
0,0,0,2,0 -> 1
0,0,0,2,1 -> 3
0,0,3,0,0 -> 1
0,0,3,1,0 -> 4
0,4,0,0,0 -> 1
0,4,1,0,0 -> 5
0,0,0,0,5 -> 1
0,1,0,0,5 -> 2
0,0,0,0,8 -> 1
0,0,0,0,9 -> 8
0,0,0,10,0 -> 1
0,0,0,11,0 ->10
0,0,12,0,0 -> 1
0,0,13,0,0 ->12
0,14,0,0,0 -> 1
0,15,0,0,0 ->14
1,0,0,0,2 -> 2
1,0,0,3,0 -> 3
1,0,4,0,0 -> 4
1,5,0,0,0 -> 5
1,0,0,0,9 -> 9
1,0,0,11,0 ->11
1,0,13,0,0 ->13
1,15,0,0,0 ->15
1,0,0,2,1 -> 3
1,0,0,2,14 -> 3
1,0,3,1,0 -> 4

1,0,3,8,0 -> 4
1,4,1,0,0 -> 5
1,4,10,0,0 -> 5
1,1,0,0,5 -> 2
1,12,0,0,5 -> 2
2,0,0,0,6 -> 6
2,0,1,0,6 -> 6
2,0,8,0,6 -> 6
2,1,9,0,6 -> 6
2,11,0,0,6 -> 6
2,13,0,0,6 -> 6
2,1,0,0,7 -> 6
3,0,0,6,0 -> 6
3,1,0,6,0 -> 6
3,10,0,6,0 -> 6
3,11,0,6,1 -> 6
3,0,0,6,13 -> 6
3,0,0,6,15 -> 6
3,0,0,7,1 -> 6
4,0,6,0,0 -> 6
4,0,6,0,1 -> 6
4,0,6,9,0 -> 6
4,0,6,0,12 -> 6
4,0,6,1,13 -> 6
4,0,6,15,0 -> 6
4,0,7,1,0 -> 6
5,6,0,0,0 -> 6

5,6,0,1,0 -> 6
5,6,9,0,0 -> 6
5,6,11,0,0 -> 6
5,6,0,14,0 -> 6
5,6,1,15,0 -> 6
5,7,1,0,0 -> 6
6,1,2,0,0 -> 1
6,3,0,0,1 -> 1
6,0,0,1,4 -> 1
6,0,1,5,0 -> 1
6,3,2,0,1 -> 1
6,3,0,1,4 -> 1
6,0,1,5,4 -> 1
6,1,2,5,0 -> 1
6,12,2,0,0 -> 1
6,3,0,0,14 -> 1
6,0,0,8,4 -> 1
6,0,10,5,0 -> 1
6,3,0,0,8 -> 8
6,0,0,10,4 ->10
6,0,12,5,0 ->12
6,14,2,0,0 ->14
6,0,2,0,1 -> 0
6,3,0,1,0 -> 0
6,0,1,0,4 -> 0
6,1,0,5,0 -> 0
7,1,2,0,0 -> 8

7,3,0,0,1 ->10
7,0,0,1,4 ->12
7,0,1,5,0 ->14
8,1,6,0,0 -> 9
8,6,0,0,9 -> 9
8,0,0,0,2 -> 2
9,4,8,0,0 -> 5
9,1,1,0,5 -> 2
9,0,0,0,2 -> 2
10,6,0,0,1 ->11
10,0,0,11,6->11
10,0,0,3,0 -> 3
11,10,0,0,5-> 2
11,1,0,2,1 -> 3
11,0,0,3,0 -> 3
12,0,0,1,6 ->13
12,0,13,6,0->13
12,0,4,0,0 -> 4
13,0,0,2,12-> 3
13,0,3,1,1 -> 4
13,0,4,0,0 -> 4
14,0,1,6,0 ->15
14,15,6,0,0->15
14,5,0,0,0 -> 5
15,0,3,14,0-> 4
15,4,1,1,0 -> 5
15,5,0,0,0 -> 5

A=0
2,1,0,0,6 -> 6

3,0,0,6,1 -> 6 4,0,6,1,0 -> 6 5,6,1,0,0 -> 6

A=1
2,1,0,0,6 -> 7 3,0,0,6,1 -> 7 4,0,6,1,0 -> 7 5,6,1,0,0 -> 7

Fig. 9. Loop machine state-transition rules.

of state-transition rules in Figure 9: (1) 108 rules that are performed indepen-
dently of the activation of the cell ( A = − ), (2) 4 rules performed when the cell
is inactive ( A = 0), and (3) 4 rules performed when the cell is active ( A =1).