Rule:SparkAssistedKnight

@RULE SparkAssistedKnight

https://conwaylife.com/forums/viewtopic.php?p=66517#p70480

• • • • COMPILED FROM NUTSHELL ****
      • v0.5.6 ****

A rule in which almost knightships can become knightships with the assistance of sparks. The sparks evolve in a multistate rule which is designed to allow them to move at exactly (2,1)c/6 [in a SSW direction]

States: 0: BG 1: Life 2: Spark0 - Alive 3: Spark1a - Alive 4: Spark1d - Dead 5: Spark2a - Alive 6: Spark2d - Dead 7: Spark3 8: Spark4 - Will move diagonal [SW] 9: Spark5 - Will move orthogonal [S]

@TREE

num_states=10 num_neighbors=8 num_nodes=91 1 0 0 4 6 6 7 7 8 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 1 3 5 6 7 7 8 0 0 2 0 2 2 2 0 2 0 0 0 0 3 1 3 3 3 1 3 1 1 1 1 1 1 1 3 5 6 7 7 8 0 0 2 2 5 5 5 2 5 2 2 2 2 3 3 6 6 6 3 6 3 3 3 3 4 4 7 7 7 4 7 4 4 4 4 2 5 0 0 0 5 0 5 5 5 5 3 6 9 9 9 6 9 6 6 6 6 4 7 10 10 10 7 10 7 7 7 7 1 2 0 4 6 6 7 7 8 0 2 2 12 12 12 12 12 12 12 12 12 12 1 2 1 3 5 6 7 7 8 0 2 2 12 14 14 14 12 14 12 12 12 12 3 13 15 15 15 13 15 13 13 13 13 1 1 1 3 5 6 7 7 8 0 2 2 14 17 17 17 14 17 14 14 14 14 3 15 18 18 18 15 18 15 15 15 15 4 16 19 19 19 16 19 16 16 16 16 5 8 11 11 11 8 11 8 8 8 20 3 9 1 1 1 9 1 9 9 9 9 4 10 22 22 22 10 22 10 10 10 10 2 17 12 12 12 17 12 17 17 17 17 3 18 24 24 24 18 24 18 18 18 18 4 19 25 25 25 19 25 19 19 19 19 5 11 23 23 23 11 23 11 11 11 26 6 21 27 27 27 21 27 21 21 21 21 3 1 1 1 1 1 1 1 1 1 1 4 22 29 29 29 22 29 22 22 22 22 3 24 13 13 13 24 13 24 24 24 24 4 25 31 31 31 25 31 25 25 25 25 5 23 30 30 30 23 30 23 23 23 32 6 27 33 33 33 27 33 27 27 27 27 7 28 34 34 34 28 34 28 28 28 28 4 29 29 29 29 29 29 29 29 29 29 3 13 13 13 13 13 13 13 13 13 13 4 31 37 37 37 31 37 31 31 31 31 5 30 36 36 36 30 36 30 30 30 38 6 33 39 39 39 33 39 33 33 33 33 7 34 40 40 40 34 40 34 34 34 34 1 9 0 4 6 6 7 7 8 9 0 2 42 42 42 42 42 42 42 42 42 42 1 9 1 3 5 6 7 7 8 9 0 2 42 44 44 44 42 44 42 42 42 42 3 43 45 45 45 43 45 43 43 43 43 1 1 1 3 5 6 7 7 8 9 0 2 44 47 47 47 44 47 44 44 44 44 3 45 48 48 48 45 48 45 45 45 45 4 46 49 49 49 46 49 46 46 46 46 2 47 42 42 42 47 42 47 47 47 47 3 48 51 51 51 48 51 48 48 48 48 4 49 52 52 52 49 52 49 49 49 49 1 9 0 4 6 6 7 7 8 9 2 2 54 54 54 54 54 54 54 54 54 54 1 9 1 3 5 6 7 7 8 9 2 2 54 56 56 56 54 56 54 54 54 54 3 55 57 57 57 55 57 55 55 55 55 1 1 1 3 5 6 7 7 8 9 2 2 56 59 59 59 56 59 56 56 56 56 3 57 60 60 60 57 60 57 57 57 57 4 58 61 61 61 58 61 58 58 58 58 5 50 53 53 53 50 53 50 50 50 62 3 51 43 43 43 51 43 51 51 51 51 4 52 64 64 64 52 64 52 52 52 52 2 59 54 54 54 59 54 59 59 59 59 3 60 66 66 66 60 66 60 60 60 60 4 61 67 67 67 61 67 61 61 61 61 5 53 65 65 65 53 65 53 53 53 68 6 63 69 69 69 63 69 63 63 63 63 3 43 43 43 43 43 43 43 43 43 43 4 64 71 71 71 64 71 64 64 64 64 3 66 55 55 55 66 55 66 66 66 66 4 67 73 73 73 67 73 67 67 67 67 5 65 72 72 72 65 72 65 65 65 74 6 69 75 75 75 69 75 69 69 69 69 7 70 76 76 76 70 76 70 70 70 70 8 35 41 41 41 35 41 35 35 77 35 4 37 37 37 37 37 37 37 37 37 37 5 36 36 36 36 36 36 36 36 36 79 6 39 80 80 80 39 80 39 39 39 39 7 40 81 81 81 40 81 40 40 40 40 4 71 71 71 71 71 71 71 71 71 71 3 55 55 55 55 55 55 55 55 55 55 4 73 84 84 84 73 84 73 73 73 73 5 72 83 83 83 72 83 72 72 72 85 6 75 86 86 86 75 86 75 75 75 75 7 76 87 87 87 76 87 76 76 76 76 8 41 82 82 82 41 82 41 41 88 41 9 78 89 89 89 78 89 78 78 78 78

@TABLE neighborhood: Moore symmetries: none n_states: 10

var any.0 = {0,1,2,3,4,5,6,7,8,9} var any.1 = any.0 var any.2 = any.0 var any.3 = any.0 var any.4 = any.0 var any.5 = any.0 var any.6 = any.0 var any.7 = any.0 var live.0 = {1,2,3,4,5,6,7,8,9} var alive.0 = {1,2,3,5} var alive.1 = alive.0 var alive.2 = alive.0 var dead.0 = {0,4,6,7,8,9} var dead.1 = dead.0 var dead.2 = dead.0 var dead.3 = dead.0 var dead.4 = dead.0 var dead.5 = dead.0 var nonspark.0 = {0,1} var _a0.0 = {0,8} var _b0.0 = {0,9}

1. 1. 1. 1. symmetries: permute
2. CGoL Rules
3. S2

1, alive.0, alive.1, dead.0, dead.1, dead.2, dead.3, dead.4, dead.5, 1 1, alive.0, dead.0, alive.1, dead.1, dead.2, dead.3, dead.4, dead.5, 1 1, alive.0, dead.0, dead.1, alive.1, dead.2, dead.3, dead.4, dead.5, 1 1, alive.0, dead.0, dead.1, dead.2, alive.1, dead.3, dead.4, dead.5, 1 1, alive.0, dead.0, dead.1, dead.2, dead.3, alive.1, dead.4, dead.5, 1 1, alive.0, dead.0, dead.1, dead.2, dead.3, dead.4, alive.1, dead.5, 1 1, alive.0, dead.0, dead.1, dead.2, dead.3, dead.4, dead.5, alive.1, 1 1, dead.0, alive.0, alive.1, dead.1, dead.2, dead.3, dead.4, dead.5, 1 1, dead.0, alive.0, dead.1, alive.1, dead.2, dead.3, dead.4, dead.5, 1 1, dead.0, alive.0, dead.1, dead.2, alive.1, dead.3, dead.4, dead.5, 1 1, dead.0, alive.0, dead.1, dead.2, dead.3, alive.1, dead.4, dead.5, 1 1, dead.0, alive.0, dead.1, dead.2, dead.3, dead.4, alive.1, dead.5, 1 1, dead.0, alive.0, dead.1, dead.2, dead.3, dead.4, dead.5, alive.1, 1 1, dead.0, dead.1, alive.0, alive.1, dead.2, dead.3, dead.4, dead.5, 1 1, dead.0, dead.1, alive.0, dead.2, alive.1, dead.3, dead.4, dead.5, 1 1, dead.0, dead.1, alive.0, dead.2, dead.3, alive.1, dead.4, dead.5, 1 1, dead.0, dead.1, alive.0, dead.2, dead.3, dead.4, alive.1, dead.5, 1 1, dead.0, dead.1, alive.0, dead.2, dead.3, dead.4, dead.5, alive.1, 1 1, dead.0, dead.1, dead.2, alive.0, alive.1, dead.3, dead.4, dead.5, 1 1, dead.0, dead.1, dead.2, alive.0, dead.3, alive.1, dead.4, dead.5, 1 1, dead.0, dead.1, dead.2, alive.0, dead.3, dead.4, alive.1, dead.5, 1 1, dead.0, dead.1, dead.2, alive.0, dead.3, dead.4, dead.5, alive.1, 1 1, dead.0, dead.1, dead.2, dead.3, alive.0, alive.1, dead.4, dead.5, 1 1, dead.0, dead.1, dead.2, dead.3, alive.0, dead.4, alive.1, dead.5, 1 1, dead.0, dead.1, dead.2, dead.3, alive.0, dead.4, dead.5, alive.1, 1 1, dead.0, dead.1, dead.2, dead.3, dead.4, alive.0, alive.1, dead.5, 1 1, dead.0, dead.1, dead.2, dead.3, dead.4, alive.0, dead.5, alive.1, 1 1, dead.0, dead.1, dead.2, dead.3, dead.4, dead.5, alive.0, alive.1, 1

1. B3 & S3

nonspark.0, alive.0, alive.1, alive.2, dead.0, dead.1, dead.2, dead.3, dead.4, 1 nonspark.0, alive.0, alive.1, dead.0, alive.2, dead.1, dead.2, dead.3, dead.4, 1 nonspark.0, alive.0, alive.1, dead.0, dead.1, alive.2, dead.2, dead.3, dead.4, 1 nonspark.0, alive.0, alive.1, dead.0, dead.1, dead.2, alive.2, dead.3, dead.4, 1 nonspark.0, alive.0, alive.1, dead.0, dead.1, dead.2, dead.3, alive.2, dead.4, 1 nonspark.0, alive.0, alive.1, dead.0, dead.1, dead.2, dead.3, dead.4, alive.2, 1 nonspark.0, alive.0, dead.0, alive.1, alive.2, dead.1, dead.2, dead.3, dead.4, 1 nonspark.0, alive.0, dead.0, alive.1, dead.1, alive.2, dead.2, dead.3, dead.4, 1 nonspark.0, alive.0, dead.0, alive.1, dead.1, dead.2, alive.2, dead.3, dead.4, 1 nonspark.0, alive.0, dead.0, alive.1, dead.1, dead.2, dead.3, alive.2, dead.4, 1 nonspark.0, alive.0, dead.0, alive.1, dead.1, dead.2, dead.3, dead.4, alive.2, 1 nonspark.0, alive.0, dead.0, dead.1, alive.1, alive.2, dead.2, dead.3, dead.4, 1 nonspark.0, alive.0, dead.0, dead.1, alive.1, dead.2, alive.2, dead.3, dead.4, 1 nonspark.0, alive.0, dead.0, dead.1, alive.1, dead.2, dead.3, alive.2, dead.4, 1 nonspark.0, alive.0, dead.0, dead.1, alive.1, dead.2, dead.3, dead.4, alive.2, 1 nonspark.0, alive.0, dead.0, dead.1, dead.2, alive.1, alive.2, dead.3, dead.4, 1 nonspark.0, alive.0, dead.0, dead.1, dead.2, alive.1, dead.3, alive.2, dead.4, 1 nonspark.0, alive.0, dead.0, dead.1, dead.2, alive.1, dead.3, dead.4, alive.2, 1 nonspark.0, alive.0, dead.0, dead.1, dead.2, dead.3, alive.1, alive.2, dead.4, 1 nonspark.0, alive.0, dead.0, dead.1, dead.2, dead.3, alive.1, dead.4, alive.2, 1 nonspark.0, alive.0, dead.0, dead.1, dead.2, dead.3, dead.4, alive.1, alive.2, 1 nonspark.0, dead.0, alive.0, alive.1, alive.2, dead.1, dead.2, dead.3, dead.4, 1 nonspark.0, dead.0, alive.0, alive.1, dead.1, alive.2, dead.2, dead.3, dead.4, 1 nonspark.0, dead.0, alive.0, alive.1, dead.1, dead.2, alive.2, dead.3, dead.4, 1 nonspark.0, dead.0, alive.0, alive.1, dead.1, dead.2, dead.3, alive.2, dead.4, 1 nonspark.0, dead.0, alive.0, alive.1, dead.1, dead.2, dead.3, dead.4, alive.2, 1 nonspark.0, dead.0, alive.0, dead.1, alive.1, alive.2, dead.2, dead.3, dead.4, 1 nonspark.0, dead.0, alive.0, dead.1, alive.1, dead.2, alive.2, dead.3, dead.4, 1 nonspark.0, dead.0, alive.0, dead.1, alive.1, dead.2, dead.3, alive.2, dead.4, 1 nonspark.0, dead.0, alive.0, dead.1, alive.1, dead.2, dead.3, dead.4, alive.2, 1 nonspark.0, dead.0, alive.0, dead.1, dead.2, alive.1, alive.2, dead.3, dead.4, 1 nonspark.0, dead.0, alive.0, dead.1, dead.2, alive.1, dead.3, alive.2, dead.4, 1 nonspark.0, dead.0, alive.0, dead.1, dead.2, alive.1, dead.3, dead.4, alive.2, 1 nonspark.0, dead.0, alive.0, dead.1, dead.2, dead.3, alive.1, alive.2, dead.4, 1 nonspark.0, dead.0, alive.0, dead.1, dead.2, dead.3, alive.1, dead.4, alive.2, 1 nonspark.0, dead.0, alive.0, dead.1, dead.2, dead.3, dead.4, alive.1, alive.2, 1 nonspark.0, dead.0, dead.1, alive.0, alive.1, alive.2, dead.2, dead.3, dead.4, 1 nonspark.0, dead.0, dead.1, alive.0, alive.1, dead.2, alive.2, dead.3, dead.4, 1 nonspark.0, dead.0, dead.1, alive.0, alive.1, dead.2, dead.3, alive.2, dead.4, 1 nonspark.0, dead.0, dead.1, alive.0, alive.1, dead.2, dead.3, dead.4, alive.2, 1 nonspark.0, dead.0, dead.1, alive.0, dead.2, alive.1, alive.2, dead.3, dead.4, 1 nonspark.0, dead.0, dead.1, alive.0, dead.2, alive.1, dead.3, alive.2, dead.4, 1 nonspark.0, dead.0, dead.1, alive.0, dead.2, alive.1, dead.3, dead.4, alive.2, 1 nonspark.0, dead.0, dead.1, alive.0, dead.2, dead.3, alive.1, alive.2, dead.4, 1 nonspark.0, dead.0, dead.1, alive.0, dead.2, dead.3, alive.1, dead.4, alive.2, 1 nonspark.0, dead.0, dead.1, alive.0, dead.2, dead.3, dead.4, alive.1, alive.2, 1 nonspark.0, dead.0, dead.1, dead.2, alive.0, alive.1, alive.2, dead.3, dead.4, 1 nonspark.0, dead.0, dead.1, dead.2, alive.0, alive.1, dead.3, alive.2, dead.4, 1 nonspark.0, dead.0, dead.1, dead.2, alive.0, alive.1, dead.3, dead.4, alive.2, 1 nonspark.0, dead.0, dead.1, dead.2, alive.0, dead.3, alive.1, alive.2, dead.4, 1 nonspark.0, dead.0, dead.1, dead.2, alive.0, dead.3, alive.1, dead.4, alive.2, 1 nonspark.0, dead.0, dead.1, dead.2, alive.0, dead.3, dead.4, alive.1, alive.2, 1 nonspark.0, dead.0, dead.1, dead.2, dead.3, alive.0, alive.1, alive.2, dead.4, 1 nonspark.0, dead.0, dead.1, dead.2, dead.3, alive.0, alive.1, dead.4, alive.2, 1 nonspark.0, dead.0, dead.1, dead.2, dead.3, alive.0, dead.4, alive.1, alive.2, 1 nonspark.0, dead.0, dead.1, dead.2, dead.3, dead.4, alive.0, alive.1, alive.2, 1

1. Death

1, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 0

1. Spark evolution - CGoL survival

2, alive.0, alive.1, any.0, dead.0, dead.1, dead.2, dead.3, dead.4, 3 2, alive.0, alive.1, dead.0, any.0, dead.1, dead.2, dead.3, dead.4, 3 2, alive.0, alive.1, dead.0, dead.1, any.0, dead.2, dead.3, dead.4, 3 2, alive.0, alive.1, dead.0, dead.1, dead.2, any.0, dead.3, dead.4, 3 2, alive.0, alive.1, dead.0, dead.1, dead.2, dead.3, any.0, dead.4, 3 2, alive.0, alive.1, dead.0, dead.1, dead.2, dead.3, dead.4, any.0, 3 2, alive.0, any.0, alive.1, dead.0, dead.1, dead.2, dead.3, dead.4, 3 2, alive.0, any.0, dead.0, alive.1, dead.1, dead.2, dead.3, dead.4, 3 2, alive.0, any.0, dead.0, dead.1, alive.1, dead.2, dead.3, dead.4, 3 2, alive.0, any.0, dead.0, dead.1, dead.2, alive.1, dead.3, dead.4, 3 2, alive.0, any.0, dead.0, dead.1, dead.2, dead.3, alive.1, dead.4, 3 2, alive.0, any.0, dead.0, dead.1, dead.2, dead.3, dead.4, alive.1, 3 2, alive.0, dead.0, alive.1, any.0, dead.1, dead.2, dead.3, dead.4, 3 2, alive.0, dead.0, alive.1, dead.1, any.0, dead.2, dead.3, dead.4, 3 2, alive.0, dead.0, 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dead.2, dead.3, alive.1, dead.4, 3 2, alive.0, dead.0, dead.1, any.0, dead.2, dead.3, dead.4, alive.1, 3 2, alive.0, dead.0, dead.1, dead.2, alive.1, any.0, dead.3, dead.4, 3 2, alive.0, dead.0, dead.1, dead.2, alive.1, dead.3, any.0, dead.4, 3 2, alive.0, dead.0, dead.1, dead.2, alive.1, dead.3, dead.4, any.0, 3 2, alive.0, dead.0, dead.1, dead.2, any.0, alive.1, dead.3, dead.4, 3 2, alive.0, dead.0, dead.1, dead.2, any.0, dead.3, alive.1, dead.4, 3 2, alive.0, dead.0, dead.1, dead.2, any.0, dead.3, dead.4, alive.1, 3 2, alive.0, dead.0, dead.1, dead.2, dead.3, alive.1, any.0, dead.4, 3 2, alive.0, dead.0, dead.1, dead.2, dead.3, alive.1, dead.4, any.0, 3 2, alive.0, dead.0, dead.1, dead.2, dead.3, any.0, alive.1, dead.4, 3 2, alive.0, dead.0, dead.1, dead.2, dead.3, any.0, dead.4, alive.1, 3 2, alive.0, dead.0, dead.1, dead.2, dead.3, dead.4, alive.1, any.0, 3 2, alive.0, dead.0, dead.1, dead.2, dead.3, dead.4, any.0, alive.1, 3 2, any.0, alive.0, alive.1, dead.0, dead.1, dead.2, 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any.0, alive.0, dead.2, dead.3, dead.4, alive.1, 5 3, dead.0, dead.1, any.0, dead.2, alive.0, alive.1, dead.3, dead.4, 5 3, dead.0, dead.1, any.0, dead.2, alive.0, dead.3, alive.1, dead.4, 5 3, dead.0, dead.1, any.0, dead.2, alive.0, dead.3, dead.4, alive.1, 5 3, dead.0, dead.1, any.0, dead.2, dead.3, alive.0, alive.1, dead.4, 5 3, dead.0, dead.1, any.0, dead.2, dead.3, alive.0, dead.4, alive.1, 5 3, dead.0, dead.1, any.0, dead.2, dead.3, dead.4, alive.0, alive.1, 5 3, dead.0, dead.1, dead.2, alive.0, alive.1, any.0, dead.3, dead.4, 5 3, dead.0, dead.1, dead.2, alive.0, alive.1, dead.3, any.0, dead.4, 5 3, dead.0, dead.1, dead.2, alive.0, alive.1, dead.3, dead.4, any.0, 5 3, dead.0, dead.1, dead.2, alive.0, any.0, alive.1, dead.3, dead.4, 5 3, dead.0, dead.1, dead.2, alive.0, any.0, dead.3, alive.1, dead.4, 5 3, dead.0, dead.1, dead.2, alive.0, any.0, dead.3, dead.4, alive.1, 5 3, dead.0, dead.1, dead.2, alive.0, dead.3, alive.1, any.0, dead.4, 5 3, dead.0, dead.1, dead.2, alive.0, 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dead.4, alive.1, 5 3, dead.0, dead.1, dead.2, dead.3, alive.0, dead.4, alive.1, any.0, 5 3, dead.0, dead.1, dead.2, dead.3, alive.0, dead.4, any.0, alive.1, 5 3, dead.0, dead.1, dead.2, dead.3, any.0, alive.0, alive.1, dead.4, 5 3, dead.0, dead.1, dead.2, dead.3, any.0, alive.0, dead.4, alive.1, 5 3, dead.0, dead.1, dead.2, dead.3, any.0, dead.4, alive.0, alive.1, 5 3, dead.0, dead.1, dead.2, dead.3, dead.4, alive.0, alive.1, any.0, 5 3, dead.0, dead.1, dead.2, dead.3, dead.4, alive.0, any.0, alive.1, 5 3, dead.0, dead.1, dead.2, dead.3, dead.4, any.0, alive.0, alive.1, 5

1. Spark evolution - CGoL death

2, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 4 3, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 6 4, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 6 5, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 7 6, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 7 7, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 8

1. Spark movement
   1. 1. 1. symmetries: none
2. diagonal

_a0.0, any.0, 8, any.1, any.2, any.3, any.4, any.5, any.6, 9

1. orthogonal

_b0.0, 9, any.0, any.1, any.2, any.3, any.4, any.5, any.6, 2

1. Death otherwise
   1. 1. 1. symmetries: permute

live.0, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 0

@COLORS 0 48 48 48 1 0 255 0 2 255 255 0 3 204 204 0 4 204 153 0 5 153 153 0 6 153 102 0 7 153 51 0 8 153 0 0 9 102 0 0