Rule:GoucherParticleLoop

@RULE GoucherParticleLoop

https://conwaylife.com/forums/viewtopic.php?p=17436#p17436

Note: earlier variants of this rule were also found: https://conwaylife.com/forums/viewtopic.php?p=10884#p12161 https://conwaylife.com/forums/viewtopic.php?p=12336#p12336 https://conwaylife.com/forums/viewtopic.php?p=12677#p12677

1. state 0 is blank
2. state 1 is tail
3. state 2 is head
4. state 3 is right reflector
5. state 4 is left reflector
6. state 5 is construction cell
7. state 6 is duplicator
8. state 7 is push constructor
9. state 8 is right turn
10. state 9 is left turn
11. state 10 is left and right duplicator constructor
12. state 13 is left duplicator constructor
13. state 14 is right duplicator constructor
14. state 11 is left and right left-turn constructor
15. state 12 is "construction done" signal
16. state 15 is left and right right-turn constructor
17. state 16 is turner+latcher
18. state 17 is construction signal
19. state 18 is special
20. state 19 is special
21. state 20 is special
22. state 21 is push turn
23. state 22 is special push
24. state 23 is special constructor
25. state 24 is stop special push 1
26. state 25 is stop special push 2
27. state 26 is useless reflector
28. state 27 is useless reflector constructor
29. state 28 is immune signal
30. state 29 is eater

@TABLE n_states:30 neighborhood:Moore symmetries:rotate4 var a={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29} var b={a} var c={a} var d={a} var e={a} var f={a} var g={a} var h={a} var i={0,3,4,5,6,7,16,18,19,20,26} var j={i} var k={i} var l={i} var m={i} var n={i} var o={i} var p={2,8,9,10,11,13,14,15,17,27} var q={p} var r={0,1} var s={0,1,7,26,p} var t={s} var u={3,4,26} var v={0,p} var w={0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29} var x={w} var y={w} var z={w} var A={w} var B={w} var C={w} var D={23,12}

1. b used to be p

5,12,0,0,0,0,0,0,0,0 12,5,0,0,0,0,0,0,0,0 0,p,6,i,m,e,j,n,1,p 0,p,1,i,m,e,j,n,6,p 23,28,0,0,0,0,0,0,0,0 28,D,a,b,c,12,d,e,f,0 3,28,12,0,0,0,0,0,p,29 22,1,0,0,0,p,0,0,6,12 0,22,0,0,u,0,0,0,0,23 0,28,6,a,b,c,d,e,12,28 0,28,12,a,b,c,d,e,6,28 29,12,28,0,0,0,0,0,28,0 3,28,28,a,b,c,d,e,f,29 p,28,a,b,c,d,e,f,g,28 0,28,w,x,y,z,A,B,C,28 p,0,a,12,28,b,c,d,e,0 p,1,q,1,0,0,0,u,0,28 p,1,q,1,0,0,0,6,0,28 p,1,0,1,0,u,0,0,0,28 p,1,0,1,0,6,0,0,0,28 0,7,0,0,0,i,0,0,0,5 u,7,a,b,c,d,e,f,g,5 6,7,a,b,c,d,e,f,g,5 0,0,0,0,0,8,3,0,0,0 0,p,0,0,0,u,0,28,0,28 0,26,0,7,0,0,0,v,r,28 0,0,0,18,0,0,0,0,26,5 5,5,a,b,c,d,e,f,g,0 5,a,5,b,c,d,e,f,g,0 p,a,b,c,d,22,e,f,6,23 0,p,0,29,0,0,0,28,0,28 0,p,12,6,0,0,0,0,0,0 0,0,0,0,0,0,1,28,6,28 0,3,0,0,0,0,0,p,12,0 0,a,b,c,d,22,e,f,6,23 6,28,a,b,c,d,e,f,g,29 29,28,a,b,c,d,e,f,g,0 0,0,0,29,0,0,0,28,0,28 28,29,0,0,0,12,0,0,0,1 28,29,0,0,0,12,0,1,0,1

1. 0,0,0,0,29,28,12,0,0,22

1,0,0,0,29,28,12,0,0,22 0,0,0,0,1,8,6,0,0,0 0,28,12,0,0,0,0,0,4,28 0,28,0,0,0,3,0,0,0,28 0,0,12,28,3,0,0,0,0,28 0,0,0,28,0,0,0,4,0,28 u,28,a,b,c,d,e,f,g,0 1,p,1,0,0,0,0,0,6,28 p,0,0,1,0,1,0,6,0,28 1,p,1,0,0,0,0,0,3,28 p,0,0,1,0,1,0,3,0,12 0,1,0,0,1,28,6,0,0,28 0,1,p,0,0,28,0,0,0,28 0,26,0,1,0,28,0,0,0,28 0,0,0,1,0,0,12,28,26,28 0,3,0,1,0,28,0,0,0,28 0,0,0,1,0,0,12,28,3,28 0,0,p,1,0,0,0,28,0,28 0,1,0,4,0,0,0,28,0,28 0,1,0,0,4,28,12,0,0,28 26,28,a,b,c,d,e,f,g,0 0,0,0,0,12,28,26,0,0,28 0,p,0,28,0,6,0,a,0,28 6,28,a,b,c,d,e,f,g,0 s,28,i,j,k,t,l,m,n,28 28,a,b,c,d,e,f,g,h,12 12,28,b,c,d,e,f,g,h,0 0,1,0,0,1,17,3,0,0,2 0,1,0,0,0,19,0,0,0,17 20,a,b,c,d,e,f,g,h,19 19,a,b,c,d,e,f,g,h,5 0,0,0,17,5,0,0,0,0,0 0,0,0,0,0,0,5,17,0,0 5,2,3,0,0,0,0,0,1,18 18,a,b,c,d,e,f,g,h,0 0,18,0,0,0,0,0,0,0,5 0,17,3,0,0,0,0,0,1,2 0,1,7,0,0,p,0,0,0,12 p,0,7,0,0,1,0,0,0,12 0,1,0,7,0,p,0,0,0,19 0,1,0,0,7,p,0,0,0,17 1,p,7,0,0,0,0,0,0,12 1,p,0,7,0,0,0,0,0,20 p,0,0,7,0,1,0,0,0,5 12,p,1,0,0,0,0,0,6,0 12,i,p,j,1,q,k,l,m,12 12,p,1,i,0,1,q,0,0,12 12,i,j,k,l,p,1,m,q,12 12,p,i,j,q,1,k,l,1,12 12,p,i,j,k,q,1,l,1,12 12,p,1,i,1,q,j,k,l,12 12,p,1,i,j,k,l,m,n,12 12,p,1,i,j,k,l,m,n,12 12,p,i,j,k,l,m,n,1,12 12,1,p,i,j,k,l,m,n,12 12,1,i,j,k,l,m,n,p,12 p,1,a,b,c,12,d,e,f,12 6,p,a,b,c,d,e,f,12,16 6,p,12,b,c,d,e,f,a,16 12,p,a,b,c,d,e,f,g,0 p,4,0,0,0,1,0,12,0,12 p,3,0,12,0,1,0,0,0,12 3,p,a,b,c,d,e,f,12,0 4,p,12,b,c,d,e,f,a,0 1,7,0,0,0,0,0,2,0,5 1,a,b,c,d,e,f,g,h,0 p,a,b,c,d,e,f,g,h,1 0,p,12,i,j,e,l,m,o,p 0,p,i,j,e,l,m,o,12,p 0,p,i,c,d,e,f,g,o,p 0,p,3,i,j,e,l,m,1,p 0,p,26,i,j,e,l,m,1,p

1. 0,17,1,i,m,e,k,j,3,5

0,17,3,i,m,e,k,j,1,2 3,17,a,b,c,d,e,f,g,6 0,p,1,i,m,e,k,j,4,p 16,2,a,b,c,d,e,f,g,3 0,2,16,i,m,e,k,j,1,17 0,p,16,i,m,e,k,j,1,p 5,2,3,0,0,0,0,0,1,7 5,2,1,0,0,0,0,0,4,7 5,2,6,0,0,0,0,0,1,7 5,2,1,0,0,0,0,0,6,7 5,2,0,0,c,d,e,0,0,7 7,a,b,c,d,e,f,g,h,0 0,7,i,j,k,l,m,n,o,5 0,7,0,0,0,1,p,0,0,5 0,0,0,7,0,0,1,p,0,5 5,8,0,0,0,0,0,0,0,3 0,8,5,0,0,0,0,0,1,5 0,27,5,a,b,c,d,e,1,5 5,27,0,0,0,0,0,0,0,26 5,2,26,0,0,0,0,0,1,18 5,9,0,0,0,0,0,0,0,4 0,a,b,c,5,9,1,d,e,5 5,10,0,0,0,0,0,0,0,6 0,a,b,c,5,10,1,d,e,5 5,10,0,0,0,0,0,0,0,6 0,10,5,0,0,0,0,0,1,5 5,11,0,0,0,0,0,0,0,4 0,a,b,c,5,11,1,d,e,5 5,11,0,0,0,0,0,0,0,6 0,11,5,a,b,c,d,e,1,5 0,13,1,a,b,c,d,e,5,5 5,13,0,0,0,0,0,0,0,6 5,14,0,0,0,0,0,0,0,6 0,14,5,a,b,c,d,e,1,5 5,15,0,0,0,0,0,0,0,3 0,a,b,c,5,15,1,d,e,5 5,15,0,0,0,0,0,0,0,6 0,15,5,a,b,c,d,e,1,5

1. my transitions
2. useless

0,7,0,0,1,0,2,0,0,5 0,7,0,0,2,1,0,0,0,5 0,7,0,0,0,2,1,0,0,5

1. complete loop

5,0,0,1,17,2,0,0,0,21 21,a,b,c,d,e,f,g,h,0 0,0,0,0,0,21,0,0,0,3 0,0,0,1,0,1,1,21,0,22 22,a,b,c,d,e,f,g,h,1 0,0,0,1,0,0,0,22,0,2 0,17,1,i,m,e,k,j,3,23 23,0,0,0,6,2,1,0,0,22 0,0,0,0,0,22,0,0,0,23 23,0,0,0,0,8,0,0,0,24 24,a,b,c,d,e,f,g,h,1 0,0,0,0,0,24,0,0,0,25 25,a,b,c,d,e,f,g,h,0 0,0,0,0,0,25,0,0,0,5 @COLORS 1 255 255 255 #white 2 0 0 255 #blue 3 255 0 0 #red 4 122 107 255 #lavender 5 0 255 255 #cyan 6 0 255 0 #green 8 255 128 128 #pale red 9 200 150 255 #pale lavender 10 200 255 255 #pale lavender-green 11 122 229 255 #lavender-green 12 133 99 99 #light wood 13 100 200 255 #deep lavender-green 14 255 255 0 #red-green 15 255 255 128 #pale red-green 16 150 0 0 #dark red 17 100 66 66 #medium wood 26 100 0 75 #dark blue-red 27 255 0 255 #blue-red 28 209 67 43 #crimson