LifeWiki - User contributions [en]

Rule:HexAnt-RN

2025-11-01T02:06:50Z

CARuler: Created page with "@RULE hexAnt-RN @COLORS 0 0 0 0 1 255 255 255 2 255 0 0 3 255 255 0 4 0 255 0 5 0 255 255 6 0 0 255 7 255 0 255 8 255 128 0 9 128 255 0 10 0 255 128 11 0 128 255 12 128 0 255 13 255 0 128 @NAMES 0 off 1 on 2 TR off 3 R off 4 BR off 5 BL off 6 L off 7 TL off 8 TR on 9 R on 10 BR on 11 BL on 12 L on 13 TL on @TABLE n_states:14 neighborhood:hexagonal symmetries:none var a = {0,1} var b = a var c = a var d = a var e = a var f = a var g = {..."

@RULE hexAnt-RN
@COLORS
0 0 0 0
1 255 255 255
2 255 0 0
3 255 255 0
4 0 255 0
5 0 255 255
6 0 0 255
7 255 0 255
8 255 128 0
9 128 255 0
10 0 255 128
11 0 128 255
12 128 0 255
13 255 0 128
@NAMES
0 off
1 on
2 TR off
3 R off
4 BR off
5 BL off
6 L off
7 TL off
8 TR on
9 R on
10 BR on
11 BL on
12 L on
13 TL on
@TABLE
n_states:14
neighborhood:hexagonal
symmetries:none
var a = {0,1}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = {2,3,4,5,6,7}
var h = {8,9,10,11,12,13}
var i = {2,8}
var j = {3,9}
var k = {4,10}
var l = {5,11}
var m = {6,12}
var n = {7,13}

0,a,b,c,i,d,e,4
0,a,b,c,d,j,e,5
0,a,b,c,d,e,k,6
0,l,a,b,c,d,e,7
0,a,m,b,c,d,e,2
0,a,b,n,c,d,e,3

1,a,b,c,i,d,e,8
1,a,b,c,d,j,e,9
1,a,b,c,d,e,k,10
1,l,a,b,c,d,e,11
1,a,m,b,c,d,e,12
1,a,b,n,c,d,e,13

#defaults
g,a,b,c,d,e,f,1
h,a,b,c,d,e,f,0

Rule:Photons10v3ruleTree

2025-06-24T21:50:29Z

CARuler:

@RULE photons10v3ruleTree
@TREE
num_states=220
num_neighbors=8
1 0 0 0 14
2 0 0 0 1
3 0 0 0 2
4 0 0 0 3
5 0 0 0 4
6 0 0 5 0
7 0 0 6 0
8 0 0 7 0
9 0 0 8 0
3 0 2 0 0
4 0 0 10 0
5 0 11 0 0
6 0 12 0 0
7 0 13 0 0
8 0 14 0 0
9 15 0 0 0
1 14 0 0 0
2 17 0 0 0
3 0 0 18 0
4 0 0 0 19
1 0 0 0 12
2 0 0 21 0
3 0 22 0 0
1 0 0 14 1
1 1 2 0 0
2 0 24 0 25
1 0 0 0 4
2 0 0 0 27
1 0 0 2 3
1 0 0 4 2
2 0 25 29 30
3 0 26 28 31
4 0 0 23 32
2 1 17 0 0
3 0 0 34 0
4 0 35 0 0
1 13 0 0 0
2 0 0 0 37
2 0 37 0 0
3 38 0 39 0
1 0 3 0 2
1 0 4 15 3
2 0 41 0 42
1 0 2 0 4
2 0 44 0 0
1 0 0 3 2
1 0 0 4 3
2 46 47 0 0
3 43 0 45 48
4 40 49 0 0
5 20 33 36 50
3 18 0 0 0
1 0 0 14 0
1 0 14 0 0
2 0 53 54 0
1 4 3 2 0
2 0 0 0 56
1 0 0 15 0
1 2 7 0 6
2 58 0 59 0
3 0 55 57 60
1 3 4 0 0
1 2 3 0 0
2 0 0 62 63
1 0 0 0 2
1 0 0 3 4
1 4 12 0 2
2 65 66 67 66
1 3 4 0 2
1 0 3 3 4
2 69 0 70 0
3 64 68 71 0
1 3 0 4 2
2 29 73 29 30
1 0 5 3 4
2 75 0 66 29
1 14 2 0 4
2 0 77 0 41
3 74 76 0 78
4 52 61 72 79
2 0 0 30 66
2 0 0 29 30
3 81 82 0 0
2 0 0 66 29
1 14 4 4 2
2 1 0 85 0
1 0 3 0 4
1 0 2 0 3
2 87 0 88 0
3 84 86 0 89
4 0 0 83 90
1 0 4 0 2
2 88 0 92 0
1 0 3 2 4
2 94 0 0 0
3 93 0 95 0
1 0 4 0 3
1 0 2 0 15
2 0 97 0 98
1 3 4 2 0
1 4 0 3 2
2 0 100 0 101
3 0 99 0 102
1 0 0 6 2
1 7 0 5 0
2 0 104 0 105
1 6 7 0 10
1 0 5 0 6
2 0 107 0 108
3 0 106 0 109
4 96 103 0 110
1 2 3 0 4
1 0 2 4 3
1 0 0 2 4
2 112 0 113 114
1 0 0 4 0
2 0 0 46 116
3 0 0 115 117
2 92 0 87 0
2 88 0 92 53
3 0 119 0 120
2 47 114 44 0
1 12 3 4 0
2 46 123 0 0
2 63 0 0 0
3 122 124 125 0
1 2 4 0 0
1 3 2 0 0
2 127 128 0 0
1 4 3 0 2
1 2 14 14 0
2 130 131 97 0
2 44 0 41 0
3 129 132 0 133
4 118 121 126 134
5 80 91 111 135
1 0 7 14 5
1 5 6 0 0
2 0 137 54 138
3 0 139 0 0
2 0 0 47 114
2 0 0 46 47
3 0 0 141 142
4 0 140 0 143
1 7 5 0 0
1 6 7 0 0
2 0 0 145 146
1 0 0 0 13
1 7 5 0 13
2 0 148 138 149
3 147 150 0 0
1 4 2 14 4
2 97 0 152 0
2 54 0 0 0
3 64 153 0 154
1 0 0 2 1
2 0 0 156 0
3 0 0 157 0
4 151 155 158 0
1 2 0 3 0
1 4 5 0 0
1 3 7 0 0
2 160 0 161 162
1 3 0 2 0
1 2 6 15 0
1 4 0 0 0
2 0 164 165 166
3 163 167 0 0
4 0 168 0 0
3 0 154 0 0
2 0 0 53 0
3 0 0 0 171
1 0 0 0 15
2 173 0 0 0
1 0 13 0 0
2 0 175 0 0
2 175 0 0 0
3 0 174 176 177
2 0 54 0 0
2 0 53 0 54
2 0 1 0 17
3 179 180 181 2
4 170 172 178 182
5 144 159 169 183
6 51 136 0 184
3 2 0 0 0
4 0 186 0 0
2 0 0 54 0
3 188 0 0 0
4 0 0 189 0
5 187 0 190 0
2 0 0 17 0
3 0 0 0 192
4 0 0 0 193
3 0 0 171 0
4 0 0 195 0
2 0 17 0 0
2 0 1 0 0
3 0 197 198 0
3 0 0 0 179
1 14 0 0 14
2 0 0 201 0
3 0 202 0 0
1 0 14 14 0
2 0 204 0 0
3 0 0 0 205
4 199 200 203 206
1 0 0 1 0
2 0 0 208 0
3 154 0 209 0
1 2 0 0 0
2 211 0 0 0
1 0 0 0 1
2 0 213 0 0
3 212 0 0 214
1 0 0 2 0
2 216 0 0 0
3 0 0 217 0
4 210 0 215 218
5 194 196 207 219
2 1 0 17 0
3 0 221 0 0
2 0 0 0 201
3 0 0 223 0
4 222 0 224 0
5 0 0 225 0
6 191 0 220 226
3 205 0 0 0
4 0 228 0 0
2 0 0 0 54
3 230 171 0 0
4 231 0 0 0
5 229 232 0 0
6 0 233 0 0
4 52 0 0 0
5 235 0 0 0
6 236 0 0 0
7 185 227 234 237
8 238 0 0 0
9 239 0 0 0
10 0 9 16 240
@COLORS
0 0 0 0
1 255 255 255
2 191,191,191
3 0,255,255
4 255,0,255
5 191,0,191
6 255,255,0
7 223,223,0
8 191,191,0
9 0,0,255
10 0,0,223
11 0,0,191
12 0,255,0
13 0,234,0
14 0,213,0
15 0,191,0
16 255,0,0
17 234,0,0
18 213,0,0
19 191,0,0
20 127,255,255
21 111,239,239
22 95,223,223
23 79,207,207
24 63,191,191
25 255,127,255
26 239,111,239
27 223,95,223
28 207,79,207
29 191,63,191
30 0, 255, 195
31 0, 224, 171
32 0, 192, 147
33 0, 160, 123
34 0, 128, 99
35 127,127,255
36 111,111,239
37 95,95,223
38 79,79,207
39 63,63,191
40 255,0,255
41 255,0,191
42 247,0,183
43 240,0,176
44 233,0,169
45 226,0,162
46 255,127,127
47 242,114,114
48 229,101,101
49 216,88,88
50 203,75,75
51 191,63,63
52 0,127,255
53 0,116,244
54 0,105,233
55 0,95,223
56 0,84,212
57 0,73,202
58 0,63,191
59 0,255,127
60 0,244,116
61 0,233,105
62 0,223,95
63 0,212,84
64 0,202,73
65 0,191,63
66 127,0,255
67 116,0,244
68 105,0,233
69 95,0,223
70 84,0,212
71 73,0,202
72 63,0,191
73 127,127,127
74 116,116,116
75 105,105,105
76 95,95,95
77 84,84,84
78 73,73,73
79 63,63,63
80 127,255,0
81 116,244,0
82 105,233,0
83 95,223,0
84 84,212,0
85 73,202,0
86 63,191,0
87 255,0,127
88 244,0,116
89 233,0,105
90 223,0,95
91 212,0,84
92 202,0,73
93 191,0,63
94 255,127,0
95 245,117,0
96 237,108,0
97 227,99,0
98 218,90,0
99 209,81,0
100 200,72,0
101 191,63,0
102 0,127,127
103 0,117,117
104 0,108,108
105 0,99,99
106 0,90,90
107 0,81,81
108 0,72,72
109 0,63,63
110 127,0,127
111 117,0,117
112 108,0,108
113 99,0,99
114 90,0,90
115 81,0,81
116 72,0,72
117 63,0,63
118 127,127,0
119 117,117,0
120 108,108,0
121 99,99,0
122 90,90,0
123 81,81,0
124 72,72,0
125 63,63,0
126 0,0,127
127 0,0,119
128 0,0,111
129 0,0,103
130 0,0,95
131 0,0,87
132 0,0,79
133 0,0,71
134 0,0,63
135 0,127,0
136 0,119,0
137 0,111,0
138 0,103,0
139 0,95,0
140 0,87,0
141 0,79,0
142 0,71,0
143 0,63,0
144 127,0,0
145 119,0,0
146 111,0,0
147 103,0,0
148 95,0,0
149 87,0,0
150 79,0,0
151 71,0,0
152 63,0,0
153 255,191,0
154 247,183,0
155 239,175,0
156 231,167,0
157 223,159,0
158 215,151,0
159 207,143,0
160 199,135,0
161 191,127,0
162 191,255,0
163 183,247,0
164 175,239,0
165 167,231,0
166 159,223,0
167 151,215,0
168 143,207,0
169 135,199,0
170 127,191,0
171 0,255,191
172 0,247,183
173 0,239,175
174 0,231,167
175 0,223,159
176 0,215,151
177 0,207,143
178 0,199,135
179 0,191,127
180 0,191,255
181 0,183,247
182 0,176,240
183 0,169,233
184 0,162,226
185 0,155,219
186 0,148,212
187 0,141,205
188 0,134,198
189 0,127,191
190 191,0,255
191 183,0,247
192 176,0,240
193 169,0,233
194 162,0,226
195 155,0,219
196 148,0,212
197 141,0,205
198 134,0,198
199 127,0,191
200 118,246,118
201 105,231,105
202 92,220,92
203 79,207,79
204 67,195,67
205 54,178,54
206 41,169,41
207 28,156,28
208 15,143,15
209 2,130,2
210 50,50,50
211 45,45,50
212 40,40,50
213 35,35,50
214 30,30,50
215 25,25,50
216 25,20,50
217 25,15,50
218 25,10,50
219 25,5,50
@NAMES
0 dead
1 asset
2 orthag
3 diag
4 knightwise 1
5 knightwise 2
6 camelwise 1
7 camelwise 2
8 camelwise 3
9 zebrawise 1
10 zebrawise 2
11 zebrawise 3
12 giraffewise 1
13 giraffewise 2
14 giraffewise 3
15 giraffewise 4
16 antelopewise 1
17 antelopewise 2
18 antelopewise 3
19 antelopewise 4
20 ibiswise 1
21 ibiswise 2
22 ibiswise 3
23 ibiswise 4
24 ibiswise 5
25 kiwiwise 1
26 kiwiwise 2
27 kiwiwise 3
28 kiwiwise 4
29 kiwiwise 5
30 peacockwise 1
31 peacockwise 2
32 peacockwise 3
33 peacockwise 4
34 peacockwise 5
35 parrotwise 1
36 parrotwise 2
37 parrotwise 3
38 parrotwise 4
39 parrotwise 5
40 flamingowise 1
41 flamingowise 2
42 flamingowise 3
43 flamingowise 4
44 flamingowise 5
45 flamingowise 6
46 eaglewise 1
47 eaglewise 2
48 eaglewise 3
49 eaglewise 4
50 eaglewise 5
51 eaglewise 6
52 Lionwise 1
53 Lionwise 2
54 Lionwise 3
55 Lionwise 4
56 Lionwise 5
57 Lionwise 6
58 Lionwise 7
59 leopardwise 1
60 leopardwise 2
61 leopardwise 3
62 leopardwise 4
63 leopardwise 5
64 leopardwise 6
65 leopardwise 7
66 pantherwise 1
67 pantherwise 2
68 pantherwise 3
69 pantherwise 4
70 pantherwise 5
71 pantherwise 6
72 pantherwise 7
73 cougarwise 1
74 cougarwise 2
75 cougarwise 3
76 cougarwise 4
77 cougarwise 5
78 cougarwise 6
79 cougarwise 7
80 tigerwise 1
81 tigerwise 2
82 tigerwise 3
83 tigerwise 4
84 tigerwise 5
85 tigerwise 6
86 tigerwise 7
87 lynxwise 1
88 lynxwise 2
89 lynxwise 3
90 lynxwise 4
91 lynxwise 5
92 lynxwise 6
93 lynxwise 7
94 nautiluswise 1
95 nautiluswise 2
96 nautiluswise 3
97 nautiluswise 4
98 nautiluswise 5
99 nautiluswise 6
100 nautiluswise 7
101 nautiluswise 8
102 squidwise 1
103 squidwise 2
104 squidwise 3
105 squidwise 4
106 squidwise 5
107 squidwise 6
108 squidwise 7
109 squidwise 8
110 cuttlefishwise 1
111 cuttlefishwise 2
112 cuttlefishwise 3
113 cuttlefishwise 4
114 cuttlefishwise 5
115 cuttlefishwise 6
116 cuttlefishwise 7
117 cuttlefishwise 8
118 otcopuswise 1
119 otcopuswise 2
120 otcopuswise 3
121 otcopuswise 4
122 otcopuswise 5
123 otcopuswise 6
124 otcopuswise 7
125 otcopuswise 8
126 elephantwise 1
127 elephantwise 2
128 elephantwise 3
129 elephantwise 4
130 elephantwise 5
131 elephantwise 6
132 elephantwise 7
133 elephantwise 8
134 elephantwise 9
135 rhinowise 1
136 rhinowise 2
137 rhinowise 3
138 rhinowise 4
139 rhinowise 5
140 rhinowise 6
141 rhinowise 7
142 rhinowise 8
143 rhinowise 9
144 hippowise 1
145 hippowise 2
146 hippowise 3
147 hippowise 4
148 hippowise 5
149 hippowise 6
150 hippowise 7
151 hippowise 8
152 hippowise 9
153 buffalowise 1
154 buffalowise 2
155 buffalowise 3
156 buffalowise 4
157 buffalowise 5
158 buffalowise 6
159 buffalowise 7
160 buffalowise 8
161 buffalowise 9
162 waterbeastwise 1
163 waterbeastwise 2
164 waterbeastwise 3
165 waterbeastwise 4
166 waterbeastwise 5
167 waterbeastwise 6
168 waterbeastwise 7
169 waterbeastwise 8
170 waterbeastwise 9
171 wildbeastwise 1
172 wildbeastwise 2
173 wildbeastwise 3
174 wildbeastwise 4
175 wildbeastwise 5
176 wildbeastwise 6
177 wildbeastwise 7
178 wildbeastwise 8
179 wildbeastwise 9
180 ogrewise 1
181 ogrewise 2
182 ogrewise 3
183 ogrewise 4
184 ogrewise 5
185 ogrewise 6
186 ogrewise 7
187 ogrewise 8
188 ogrewise 9
189 ogrewise 10
190 golemwise 1
191 golemwise 2
192 golemwise 3
193 golemwise 4
194 golemwise 5
195 golemwise 6
196 golemwise 7
197 golemwise 8
198 golemwise 9
199 golemwise 10
200 trollwise 1
201 trollwise 2
202 trollwise 3
203 trollwise 4
204 trollwise 5
205 trollwise 6
206 trollwise 7
207 trollwise 8
208 trollwise 9
209 trollwise 10
210 goliathwise 1
211 goliathwise 2
212 goliathwise 3
213 goliathwise 4
214 goliathwise 5
215 goliathwise 6
216 goliathwise 7
217 goliathwise 8
218 goliathwise 9
219 goliathwise 10

Rule:Photons10v3ruleTree

2025-06-24T21:49:19Z

CARuler:

@RULE photons10v3ruleTree
@TREE
num_states=220
1 0 0 0 14
2 0 0 0 1
3 0 0 0 2
4 0 0 0 3
5 0 0 0 4
6 0 0 5 0
7 0 0 6 0
8 0 0 7 0
9 0 0 8 0
3 0 2 0 0
4 0 0 10 0
5 0 11 0 0
6 0 12 0 0
7 0 13 0 0
8 0 14 0 0
9 15 0 0 0
1 14 0 0 0
2 17 0 0 0
3 0 0 18 0
4 0 0 0 19
1 0 0 0 12
2 0 0 21 0
3 0 22 0 0
1 0 0 14 1
1 1 2 0 0
2 0 24 0 25
1 0 0 0 4
2 0 0 0 27
1 0 0 2 3
1 0 0 4 2
2 0 25 29 30
3 0 26 28 31
4 0 0 23 32
2 1 17 0 0
3 0 0 34 0
4 0 35 0 0
1 13 0 0 0
2 0 0 0 37
2 0 37 0 0
3 38 0 39 0
1 0 3 0 2
1 0 4 15 3
2 0 41 0 42
1 0 2 0 4
2 0 44 0 0
1 0 0 3 2
1 0 0 4 3
2 46 47 0 0
3 43 0 45 48
4 40 49 0 0
5 20 33 36 50
3 18 0 0 0
1 0 0 14 0
1 0 14 0 0
2 0 53 54 0
1 4 3 2 0
2 0 0 0 56
1 0 0 15 0
1 2 7 0 6
2 58 0 59 0
3 0 55 57 60
1 3 4 0 0
1 2 3 0 0
2 0 0 62 63
1 0 0 0 2
1 0 0 3 4
1 4 12 0 2
2 65 66 67 66
1 3 4 0 2
1 0 3 3 4
2 69 0 70 0
3 64 68 71 0
1 3 0 4 2
2 29 73 29 30
1 0 5 3 4
2 75 0 66 29
1 14 2 0 4
2 0 77 0 41
3 74 76 0 78
4 52 61 72 79
2 0 0 30 66
2 0 0 29 30
3 81 82 0 0
2 0 0 66 29
1 14 4 4 2
2 1 0 85 0
1 0 3 0 4
1 0 2 0 3
2 87 0 88 0
3 84 86 0 89
4 0 0 83 90
1 0 4 0 2
2 88 0 92 0
1 0 3 2 4
2 94 0 0 0
3 93 0 95 0
1 0 4 0 3
1 0 2 0 15
2 0 97 0 98
1 3 4 2 0
1 4 0 3 2
2 0 100 0 101
3 0 99 0 102
1 0 0 6 2
1 7 0 5 0
2 0 104 0 105
1 6 7 0 10
1 0 5 0 6
2 0 107 0 108
3 0 106 0 109
4 96 103 0 110
1 2 3 0 4
1 0 2 4 3
1 0 0 2 4
2 112 0 113 114
1 0 0 4 0
2 0 0 46 116
3 0 0 115 117
2 92 0 87 0
2 88 0 92 53
3 0 119 0 120
2 47 114 44 0
1 12 3 4 0
2 46 123 0 0
2 63 0 0 0
3 122 124 125 0
1 2 4 0 0
1 3 2 0 0
2 127 128 0 0
1 4 3 0 2
1 2 14 14 0
2 130 131 97 0
2 44 0 41 0
3 129 132 0 133
4 118 121 126 134
5 80 91 111 135
1 0 7 14 5
1 5 6 0 0
2 0 137 54 138
3 0 139 0 0
2 0 0 47 114
2 0 0 46 47
3 0 0 141 142
4 0 140 0 143
1 7 5 0 0
1 6 7 0 0
2 0 0 145 146
1 0 0 0 13
1 7 5 0 13
2 0 148 138 149
3 147 150 0 0
1 4 2 14 4
2 97 0 152 0
2 54 0 0 0
3 64 153 0 154
1 0 0 2 1
2 0 0 156 0
3 0 0 157 0
4 151 155 158 0
1 2 0 3 0
1 4 5 0 0
1 3 7 0 0
2 160 0 161 162
1 3 0 2 0
1 2 6 15 0
1 4 0 0 0
2 0 164 165 166
3 163 167 0 0
4 0 168 0 0
3 0 154 0 0
2 0 0 53 0
3 0 0 0 171
1 0 0 0 15
2 173 0 0 0
1 0 13 0 0
2 0 175 0 0
2 175 0 0 0
3 0 174 176 177
2 0 54 0 0
2 0 53 0 54
2 0 1 0 17
3 179 180 181 2
4 170 172 178 182
5 144 159 169 183
6 51 136 0 184
3 2 0 0 0
4 0 186 0 0
2 0 0 54 0
3 188 0 0 0
4 0 0 189 0
5 187 0 190 0
2 0 0 17 0
3 0 0 0 192
4 0 0 0 193
3 0 0 171 0
4 0 0 195 0
2 0 17 0 0
2 0 1 0 0
3 0 197 198 0
3 0 0 0 179
1 14 0 0 14
2 0 0 201 0
3 0 202 0 0
1 0 14 14 0
2 0 204 0 0
3 0 0 0 205
4 199 200 203 206
1 0 0 1 0
2 0 0 208 0
3 154 0 209 0
1 2 0 0 0
2 211 0 0 0
1 0 0 0 1
2 0 213 0 0
3 212 0 0 214
1 0 0 2 0
2 216 0 0 0
3 0 0 217 0
4 210 0 215 218
5 194 196 207 219
2 1 0 17 0
3 0 221 0 0
2 0 0 0 201
3 0 0 223 0
4 222 0 224 0
5 0 0 225 0
6 191 0 220 226
3 205 0 0 0
4 0 228 0 0
2 0 0 0 54
3 230 171 0 0
4 231 0 0 0
5 229 232 0 0
6 0 233 0 0
4 52 0 0 0
5 235 0 0 0
6 236 0 0 0
7 185 227 234 237
8 238 0 0 0
9 239 0 0 0
10 0 9 16 240
@COLORS
0 0 0 0
1 255 255 255
2 191,191,191
3 0,255,255
4 255,0,255
5 191,0,191
6 255,255,0
7 223,223,0
8 191,191,0
9 0,0,255
10 0,0,223
11 0,0,191
12 0,255,0
13 0,234,0
14 0,213,0
15 0,191,0
16 255,0,0
17 234,0,0
18 213,0,0
19 191,0,0
20 127,255,255
21 111,239,239
22 95,223,223
23 79,207,207
24 63,191,191
25 255,127,255
26 239,111,239
27 223,95,223
28 207,79,207
29 191,63,191
30 0, 255, 195
31 0, 224, 171
32 0, 192, 147
33 0, 160, 123
34 0, 128, 99
35 127,127,255
36 111,111,239
37 95,95,223
38 79,79,207
39 63,63,191
40 255,0,255
41 255,0,191
42 247,0,183
43 240,0,176
44 233,0,169
45 226,0,162
46 255,127,127
47 242,114,114
48 229,101,101
49 216,88,88
50 203,75,75
51 191,63,63
52 0,127,255
53 0,116,244
54 0,105,233
55 0,95,223
56 0,84,212
57 0,73,202
58 0,63,191
59 0,255,127
60 0,244,116
61 0,233,105
62 0,223,95
63 0,212,84
64 0,202,73
65 0,191,63
66 127,0,255
67 116,0,244
68 105,0,233
69 95,0,223
70 84,0,212
71 73,0,202
72 63,0,191
73 127,127,127
74 116,116,116
75 105,105,105
76 95,95,95
77 84,84,84
78 73,73,73
79 63,63,63
80 127,255,0
81 116,244,0
82 105,233,0
83 95,223,0
84 84,212,0
85 73,202,0
86 63,191,0
87 255,0,127
88 244,0,116
89 233,0,105
90 223,0,95
91 212,0,84
92 202,0,73
93 191,0,63
94 255,127,0
95 245,117,0
96 237,108,0
97 227,99,0
98 218,90,0
99 209,81,0
100 200,72,0
101 191,63,0
102 0,127,127
103 0,117,117
104 0,108,108
105 0,99,99
106 0,90,90
107 0,81,81
108 0,72,72
109 0,63,63
110 127,0,127
111 117,0,117
112 108,0,108
113 99,0,99
114 90,0,90
115 81,0,81
116 72,0,72
117 63,0,63
118 127,127,0
119 117,117,0
120 108,108,0
121 99,99,0
122 90,90,0
123 81,81,0
124 72,72,0
125 63,63,0
126 0,0,127
127 0,0,119
128 0,0,111
129 0,0,103
130 0,0,95
131 0,0,87
132 0,0,79
133 0,0,71
134 0,0,63
135 0,127,0
136 0,119,0
137 0,111,0
138 0,103,0
139 0,95,0
140 0,87,0
141 0,79,0
142 0,71,0
143 0,63,0
144 127,0,0
145 119,0,0
146 111,0,0
147 103,0,0
148 95,0,0
149 87,0,0
150 79,0,0
151 71,0,0
152 63,0,0
153 255,191,0
154 247,183,0
155 239,175,0
156 231,167,0
157 223,159,0
158 215,151,0
159 207,143,0
160 199,135,0
161 191,127,0
162 191,255,0
163 183,247,0
164 175,239,0
165 167,231,0
166 159,223,0
167 151,215,0
168 143,207,0
169 135,199,0
170 127,191,0
171 0,255,191
172 0,247,183
173 0,239,175
174 0,231,167
175 0,223,159
176 0,215,151
177 0,207,143
178 0,199,135
179 0,191,127
180 0,191,255
181 0,183,247
182 0,176,240
183 0,169,233
184 0,162,226
185 0,155,219
186 0,148,212
187 0,141,205
188 0,134,198
189 0,127,191
190 191,0,255
191 183,0,247
192 176,0,240
193 169,0,233
194 162,0,226
195 155,0,219
196 148,0,212
197 141,0,205
198 134,0,198
199 127,0,191
200 118,246,118
201 105,231,105
202 92,220,92
203 79,207,79
204 67,195,67
205 54,178,54
206 41,169,41
207 28,156,28
208 15,143,15
209 2,130,2
210 50,50,50
211 45,45,50
212 40,40,50
213 35,35,50
214 30,30,50
215 25,25,50
216 25,20,50
217 25,15,50
218 25,10,50
219 25,5,50
@NAMES
0 dead
1 asset
2 orthag
3 diag
4 knightwise 1
5 knightwise 2
6 camelwise 1
7 camelwise 2
8 camelwise 3
9 zebrawise 1
10 zebrawise 2
11 zebrawise 3
12 giraffewise 1
13 giraffewise 2
14 giraffewise 3
15 giraffewise 4
16 antelopewise 1
17 antelopewise 2
18 antelopewise 3
19 antelopewise 4
20 ibiswise 1
21 ibiswise 2
22 ibiswise 3
23 ibiswise 4
24 ibiswise 5
25 kiwiwise 1
26 kiwiwise 2
27 kiwiwise 3
28 kiwiwise 4
29 kiwiwise 5
30 peacockwise 1
31 peacockwise 2
32 peacockwise 3
33 peacockwise 4
34 peacockwise 5
35 parrotwise 1
36 parrotwise 2
37 parrotwise 3
38 parrotwise 4
39 parrotwise 5
40 flamingowise 1
41 flamingowise 2
42 flamingowise 3
43 flamingowise 4
44 flamingowise 5
45 flamingowise 6
46 eaglewise 1
47 eaglewise 2
48 eaglewise 3
49 eaglewise 4
50 eaglewise 5
51 eaglewise 6
52 Lionwise 1
53 Lionwise 2
54 Lionwise 3
55 Lionwise 4
56 Lionwise 5
57 Lionwise 6
58 Lionwise 7
59 leopardwise 1
60 leopardwise 2
61 leopardwise 3
62 leopardwise 4
63 leopardwise 5
64 leopardwise 6
65 leopardwise 7
66 pantherwise 1
67 pantherwise 2
68 pantherwise 3
69 pantherwise 4
70 pantherwise 5
71 pantherwise 6
72 pantherwise 7
73 cougarwise 1
74 cougarwise 2
75 cougarwise 3
76 cougarwise 4
77 cougarwise 5
78 cougarwise 6
79 cougarwise 7
80 tigerwise 1
81 tigerwise 2
82 tigerwise 3
83 tigerwise 4
84 tigerwise 5
85 tigerwise 6
86 tigerwise 7
87 lynxwise 1
88 lynxwise 2
89 lynxwise 3
90 lynxwise 4
91 lynxwise 5
92 lynxwise 6
93 lynxwise 7
94 nautiluswise 1
95 nautiluswise 2
96 nautiluswise 3
97 nautiluswise 4
98 nautiluswise 5
99 nautiluswise 6
100 nautiluswise 7
101 nautiluswise 8
102 squidwise 1
103 squidwise 2
104 squidwise 3
105 squidwise 4
106 squidwise 5
107 squidwise 6
108 squidwise 7
109 squidwise 8
110 cuttlefishwise 1
111 cuttlefishwise 2
112 cuttlefishwise 3
113 cuttlefishwise 4
114 cuttlefishwise 5
115 cuttlefishwise 6
116 cuttlefishwise 7
117 cuttlefishwise 8
118 otcopuswise 1
119 otcopuswise 2
120 otcopuswise 3
121 otcopuswise 4
122 otcopuswise 5
123 otcopuswise 6
124 otcopuswise 7
125 otcopuswise 8
126 elephantwise 1
127 elephantwise 2
128 elephantwise 3
129 elephantwise 4
130 elephantwise 5
131 elephantwise 6
132 elephantwise 7
133 elephantwise 8
134 elephantwise 9
135 rhinowise 1
136 rhinowise 2
137 rhinowise 3
138 rhinowise 4
139 rhinowise 5
140 rhinowise 6
141 rhinowise 7
142 rhinowise 8
143 rhinowise 9
144 hippowise 1
145 hippowise 2
146 hippowise 3
147 hippowise 4
148 hippowise 5
149 hippowise 6
150 hippowise 7
151 hippowise 8
152 hippowise 9
153 buffalowise 1
154 buffalowise 2
155 buffalowise 3
156 buffalowise 4
157 buffalowise 5
158 buffalowise 6
159 buffalowise 7
160 buffalowise 8
161 buffalowise 9
162 waterbeastwise 1
163 waterbeastwise 2
164 waterbeastwise 3
165 waterbeastwise 4
166 waterbeastwise 5
167 waterbeastwise 6
168 waterbeastwise 7
169 waterbeastwise 8
170 waterbeastwise 9
171 wildbeastwise 1
172 wildbeastwise 2
173 wildbeastwise 3
174 wildbeastwise 4
175 wildbeastwise 5
176 wildbeastwise 6
177 wildbeastwise 7
178 wildbeastwise 8
179 wildbeastwise 9
180 ogrewise 1
181 ogrewise 2
182 ogrewise 3
183 ogrewise 4
184 ogrewise 5
185 ogrewise 6
186 ogrewise 7
187 ogrewise 8
188 ogrewise 9
189 ogrewise 10
190 golemwise 1
191 golemwise 2
192 golemwise 3
193 golemwise 4
194 golemwise 5
195 golemwise 6
196 golemwise 7
197 golemwise 8
198 golemwise 9
199 golemwise 10
200 trollwise 1
201 trollwise 2
202 trollwise 3
203 trollwise 4
204 trollwise 5
205 trollwise 6
206 trollwise 7
207 trollwise 8
208 trollwise 9
209 trollwise 10
210 goliathwise 1
211 goliathwise 2
212 goliathwise 3
213 goliathwise 4
214 goliathwise 5
215 goliathwise 6
216 goliathwise 7
217 goliathwise 8
218 goliathwise 9
219 goliathwise 10

Rule:Photons10v3ruleTree

2025-06-24T21:49:01Z

CARuler:

@RULE photons10v3ruleTree
@TREE
num_states:220
1 0 0 0 14
2 0 0 0 1
3 0 0 0 2
4 0 0 0 3
5 0 0 0 4
6 0 0 5 0
7 0 0 6 0
8 0 0 7 0
9 0 0 8 0
3 0 2 0 0
4 0 0 10 0
5 0 11 0 0
6 0 12 0 0
7 0 13 0 0
8 0 14 0 0
9 15 0 0 0
1 14 0 0 0
2 17 0 0 0
3 0 0 18 0
4 0 0 0 19
1 0 0 0 12
2 0 0 21 0
3 0 22 0 0
1 0 0 14 1
1 1 2 0 0
2 0 24 0 25
1 0 0 0 4
2 0 0 0 27
1 0 0 2 3
1 0 0 4 2
2 0 25 29 30
3 0 26 28 31
4 0 0 23 32
2 1 17 0 0
3 0 0 34 0
4 0 35 0 0
1 13 0 0 0
2 0 0 0 37
2 0 37 0 0
3 38 0 39 0
1 0 3 0 2
1 0 4 15 3
2 0 41 0 42
1 0 2 0 4
2 0 44 0 0
1 0 0 3 2
1 0 0 4 3
2 46 47 0 0
3 43 0 45 48
4 40 49 0 0
5 20 33 36 50
3 18 0 0 0
1 0 0 14 0
1 0 14 0 0
2 0 53 54 0
1 4 3 2 0
2 0 0 0 56
1 0 0 15 0
1 2 7 0 6
2 58 0 59 0
3 0 55 57 60
1 3 4 0 0
1 2 3 0 0
2 0 0 62 63
1 0 0 0 2
1 0 0 3 4
1 4 12 0 2
2 65 66 67 66
1 3 4 0 2
1 0 3 3 4
2 69 0 70 0
3 64 68 71 0
1 3 0 4 2
2 29 73 29 30
1 0 5 3 4
2 75 0 66 29
1 14 2 0 4
2 0 77 0 41
3 74 76 0 78
4 52 61 72 79
2 0 0 30 66
2 0 0 29 30
3 81 82 0 0
2 0 0 66 29
1 14 4 4 2
2 1 0 85 0
1 0 3 0 4
1 0 2 0 3
2 87 0 88 0
3 84 86 0 89
4 0 0 83 90
1 0 4 0 2
2 88 0 92 0
1 0 3 2 4
2 94 0 0 0
3 93 0 95 0
1 0 4 0 3
1 0 2 0 15
2 0 97 0 98
1 3 4 2 0
1 4 0 3 2
2 0 100 0 101
3 0 99 0 102
1 0 0 6 2
1 7 0 5 0
2 0 104 0 105
1 6 7 0 10
1 0 5 0 6
2 0 107 0 108
3 0 106 0 109
4 96 103 0 110
1 2 3 0 4
1 0 2 4 3
1 0 0 2 4
2 112 0 113 114
1 0 0 4 0
2 0 0 46 116
3 0 0 115 117
2 92 0 87 0
2 88 0 92 53
3 0 119 0 120
2 47 114 44 0
1 12 3 4 0
2 46 123 0 0
2 63 0 0 0
3 122 124 125 0
1 2 4 0 0
1 3 2 0 0
2 127 128 0 0
1 4 3 0 2
1 2 14 14 0
2 130 131 97 0
2 44 0 41 0
3 129 132 0 133
4 118 121 126 134
5 80 91 111 135
1 0 7 14 5
1 5 6 0 0
2 0 137 54 138
3 0 139 0 0
2 0 0 47 114
2 0 0 46 47
3 0 0 141 142
4 0 140 0 143
1 7 5 0 0
1 6 7 0 0
2 0 0 145 146
1 0 0 0 13
1 7 5 0 13
2 0 148 138 149
3 147 150 0 0
1 4 2 14 4
2 97 0 152 0
2 54 0 0 0
3 64 153 0 154
1 0 0 2 1
2 0 0 156 0
3 0 0 157 0
4 151 155 158 0
1 2 0 3 0
1 4 5 0 0
1 3 7 0 0
2 160 0 161 162
1 3 0 2 0
1 2 6 15 0
1 4 0 0 0
2 0 164 165 166
3 163 167 0 0
4 0 168 0 0
3 0 154 0 0
2 0 0 53 0
3 0 0 0 171
1 0 0 0 15
2 173 0 0 0
1 0 13 0 0
2 0 175 0 0
2 175 0 0 0
3 0 174 176 177
2 0 54 0 0
2 0 53 0 54
2 0 1 0 17
3 179 180 181 2
4 170 172 178 182
5 144 159 169 183
6 51 136 0 184
3 2 0 0 0
4 0 186 0 0
2 0 0 54 0
3 188 0 0 0
4 0 0 189 0
5 187 0 190 0
2 0 0 17 0
3 0 0 0 192
4 0 0 0 193
3 0 0 171 0
4 0 0 195 0
2 0 17 0 0
2 0 1 0 0
3 0 197 198 0
3 0 0 0 179
1 14 0 0 14
2 0 0 201 0
3 0 202 0 0
1 0 14 14 0
2 0 204 0 0
3 0 0 0 205
4 199 200 203 206
1 0 0 1 0
2 0 0 208 0
3 154 0 209 0
1 2 0 0 0
2 211 0 0 0
1 0 0 0 1
2 0 213 0 0
3 212 0 0 214
1 0 0 2 0
2 216 0 0 0
3 0 0 217 0
4 210 0 215 218
5 194 196 207 219
2 1 0 17 0
3 0 221 0 0
2 0 0 0 201
3 0 0 223 0
4 222 0 224 0
5 0 0 225 0
6 191 0 220 226
3 205 0 0 0
4 0 228 0 0
2 0 0 0 54
3 230 171 0 0
4 231 0 0 0
5 229 232 0 0
6 0 233 0 0
4 52 0 0 0
5 235 0 0 0
6 236 0 0 0
7 185 227 234 237
8 238 0 0 0
9 239 0 0 0
10 0 9 16 240
@COLORS
0 0 0 0
1 255 255 255
2 191,191,191
3 0,255,255
4 255,0,255
5 191,0,191
6 255,255,0
7 223,223,0
8 191,191,0
9 0,0,255
10 0,0,223
11 0,0,191
12 0,255,0
13 0,234,0
14 0,213,0
15 0,191,0
16 255,0,0
17 234,0,0
18 213,0,0
19 191,0,0
20 127,255,255
21 111,239,239
22 95,223,223
23 79,207,207
24 63,191,191
25 255,127,255
26 239,111,239
27 223,95,223
28 207,79,207
29 191,63,191
30 0, 255, 195
31 0, 224, 171
32 0, 192, 147
33 0, 160, 123
34 0, 128, 99
35 127,127,255
36 111,111,239
37 95,95,223
38 79,79,207
39 63,63,191
40 255,0,255
41 255,0,191
42 247,0,183
43 240,0,176
44 233,0,169
45 226,0,162
46 255,127,127
47 242,114,114
48 229,101,101
49 216,88,88
50 203,75,75
51 191,63,63
52 0,127,255
53 0,116,244
54 0,105,233
55 0,95,223
56 0,84,212
57 0,73,202
58 0,63,191
59 0,255,127
60 0,244,116
61 0,233,105
62 0,223,95
63 0,212,84
64 0,202,73
65 0,191,63
66 127,0,255
67 116,0,244
68 105,0,233
69 95,0,223
70 84,0,212
71 73,0,202
72 63,0,191
73 127,127,127
74 116,116,116
75 105,105,105
76 95,95,95
77 84,84,84
78 73,73,73
79 63,63,63
80 127,255,0
81 116,244,0
82 105,233,0
83 95,223,0
84 84,212,0
85 73,202,0
86 63,191,0
87 255,0,127
88 244,0,116
89 233,0,105
90 223,0,95
91 212,0,84
92 202,0,73
93 191,0,63
94 255,127,0
95 245,117,0
96 237,108,0
97 227,99,0
98 218,90,0
99 209,81,0
100 200,72,0
101 191,63,0
102 0,127,127
103 0,117,117
104 0,108,108
105 0,99,99
106 0,90,90
107 0,81,81
108 0,72,72
109 0,63,63
110 127,0,127
111 117,0,117
112 108,0,108
113 99,0,99
114 90,0,90
115 81,0,81
116 72,0,72
117 63,0,63
118 127,127,0
119 117,117,0
120 108,108,0
121 99,99,0
122 90,90,0
123 81,81,0
124 72,72,0
125 63,63,0
126 0,0,127
127 0,0,119
128 0,0,111
129 0,0,103
130 0,0,95
131 0,0,87
132 0,0,79
133 0,0,71
134 0,0,63
135 0,127,0
136 0,119,0
137 0,111,0
138 0,103,0
139 0,95,0
140 0,87,0
141 0,79,0
142 0,71,0
143 0,63,0
144 127,0,0
145 119,0,0
146 111,0,0
147 103,0,0
148 95,0,0
149 87,0,0
150 79,0,0
151 71,0,0
152 63,0,0
153 255,191,0
154 247,183,0
155 239,175,0
156 231,167,0
157 223,159,0
158 215,151,0
159 207,143,0
160 199,135,0
161 191,127,0
162 191,255,0
163 183,247,0
164 175,239,0
165 167,231,0
166 159,223,0
167 151,215,0
168 143,207,0
169 135,199,0
170 127,191,0
171 0,255,191
172 0,247,183
173 0,239,175
174 0,231,167
175 0,223,159
176 0,215,151
177 0,207,143
178 0,199,135
179 0,191,127
180 0,191,255
181 0,183,247
182 0,176,240
183 0,169,233
184 0,162,226
185 0,155,219
186 0,148,212
187 0,141,205
188 0,134,198
189 0,127,191
190 191,0,255
191 183,0,247
192 176,0,240
193 169,0,233
194 162,0,226
195 155,0,219
196 148,0,212
197 141,0,205
198 134,0,198
199 127,0,191
200 118,246,118
201 105,231,105
202 92,220,92
203 79,207,79
204 67,195,67
205 54,178,54
206 41,169,41
207 28,156,28
208 15,143,15
209 2,130,2
210 50,50,50
211 45,45,50
212 40,40,50
213 35,35,50
214 30,30,50
215 25,25,50
216 25,20,50
217 25,15,50
218 25,10,50
219 25,5,50
@NAMES
0 dead
1 asset
2 orthag
3 diag
4 knightwise 1
5 knightwise 2
6 camelwise 1
7 camelwise 2
8 camelwise 3
9 zebrawise 1
10 zebrawise 2
11 zebrawise 3
12 giraffewise 1
13 giraffewise 2
14 giraffewise 3
15 giraffewise 4
16 antelopewise 1
17 antelopewise 2
18 antelopewise 3
19 antelopewise 4
20 ibiswise 1
21 ibiswise 2
22 ibiswise 3
23 ibiswise 4
24 ibiswise 5
25 kiwiwise 1
26 kiwiwise 2
27 kiwiwise 3
28 kiwiwise 4
29 kiwiwise 5
30 peacockwise 1
31 peacockwise 2
32 peacockwise 3
33 peacockwise 4
34 peacockwise 5
35 parrotwise 1
36 parrotwise 2
37 parrotwise 3
38 parrotwise 4
39 parrotwise 5
40 flamingowise 1
41 flamingowise 2
42 flamingowise 3
43 flamingowise 4
44 flamingowise 5
45 flamingowise 6
46 eaglewise 1
47 eaglewise 2
48 eaglewise 3
49 eaglewise 4
50 eaglewise 5
51 eaglewise 6
52 Lionwise 1
53 Lionwise 2
54 Lionwise 3
55 Lionwise 4
56 Lionwise 5
57 Lionwise 6
58 Lionwise 7
59 leopardwise 1
60 leopardwise 2
61 leopardwise 3
62 leopardwise 4
63 leopardwise 5
64 leopardwise 6
65 leopardwise 7
66 pantherwise 1
67 pantherwise 2
68 pantherwise 3
69 pantherwise 4
70 pantherwise 5
71 pantherwise 6
72 pantherwise 7
73 cougarwise 1
74 cougarwise 2
75 cougarwise 3
76 cougarwise 4
77 cougarwise 5
78 cougarwise 6
79 cougarwise 7
80 tigerwise 1
81 tigerwise 2
82 tigerwise 3
83 tigerwise 4
84 tigerwise 5
85 tigerwise 6
86 tigerwise 7
87 lynxwise 1
88 lynxwise 2
89 lynxwise 3
90 lynxwise 4
91 lynxwise 5
92 lynxwise 6
93 lynxwise 7
94 nautiluswise 1
95 nautiluswise 2
96 nautiluswise 3
97 nautiluswise 4
98 nautiluswise 5
99 nautiluswise 6
100 nautiluswise 7
101 nautiluswise 8
102 squidwise 1
103 squidwise 2
104 squidwise 3
105 squidwise 4
106 squidwise 5
107 squidwise 6
108 squidwise 7
109 squidwise 8
110 cuttlefishwise 1
111 cuttlefishwise 2
112 cuttlefishwise 3
113 cuttlefishwise 4
114 cuttlefishwise 5
115 cuttlefishwise 6
116 cuttlefishwise 7
117 cuttlefishwise 8
118 otcopuswise 1
119 otcopuswise 2
120 otcopuswise 3
121 otcopuswise 4
122 otcopuswise 5
123 otcopuswise 6
124 otcopuswise 7
125 otcopuswise 8
126 elephantwise 1
127 elephantwise 2
128 elephantwise 3
129 elephantwise 4
130 elephantwise 5
131 elephantwise 6
132 elephantwise 7
133 elephantwise 8
134 elephantwise 9
135 rhinowise 1
136 rhinowise 2
137 rhinowise 3
138 rhinowise 4
139 rhinowise 5
140 rhinowise 6
141 rhinowise 7
142 rhinowise 8
143 rhinowise 9
144 hippowise 1
145 hippowise 2
146 hippowise 3
147 hippowise 4
148 hippowise 5
149 hippowise 6
150 hippowise 7
151 hippowise 8
152 hippowise 9
153 buffalowise 1
154 buffalowise 2
155 buffalowise 3
156 buffalowise 4
157 buffalowise 5
158 buffalowise 6
159 buffalowise 7
160 buffalowise 8
161 buffalowise 9
162 waterbeastwise 1
163 waterbeastwise 2
164 waterbeastwise 3
165 waterbeastwise 4
166 waterbeastwise 5
167 waterbeastwise 6
168 waterbeastwise 7
169 waterbeastwise 8
170 waterbeastwise 9
171 wildbeastwise 1
172 wildbeastwise 2
173 wildbeastwise 3
174 wildbeastwise 4
175 wildbeastwise 5
176 wildbeastwise 6
177 wildbeastwise 7
178 wildbeastwise 8
179 wildbeastwise 9
180 ogrewise 1
181 ogrewise 2
182 ogrewise 3
183 ogrewise 4
184 ogrewise 5
185 ogrewise 6
186 ogrewise 7
187 ogrewise 8
188 ogrewise 9
189 ogrewise 10
190 golemwise 1
191 golemwise 2
192 golemwise 3
193 golemwise 4
194 golemwise 5
195 golemwise 6
196 golemwise 7
197 golemwise 8
198 golemwise 9
199 golemwise 10
200 trollwise 1
201 trollwise 2
202 trollwise 3
203 trollwise 4
204 trollwise 5
205 trollwise 6
206 trollwise 7
207 trollwise 8
208 trollwise 9
209 trollwise 10
210 goliathwise 1
211 goliathwise 2
212 goliathwise 3
213 goliathwise 4
214 goliathwise 5
215 goliathwise 6
216 goliathwise 7
217 goliathwise 8
218 goliathwise 9
219 goliathwise 10

Rule:Photons10v3ruleTree

2025-06-24T21:48:30Z

CARuler: Created page with "@RULE photons10v3ruleTree @TREE 1 0 0 0 14 2 0 0 0 1 3 0 0 0 2 4 0 0 0 3 5 0 0 0 4 6 0 0 5 0 7 0 0 6 0 8 0 0 7 0 9 0 0 8 0 3 0 2 0 0 4 0 0 10 0 5 0 11 0 0 6 0 12 0 0 7 0 13 0 0 8 0 14 0 0 9 15 0 0 0 1 14 0 0 0 2 17 0 0 0 3 0 0 18 0 4 0 0 0 19 1 0 0 0 12 2 0 0 21 0 3 0 22 0 0 1 0 0 14 1 1 1 2 0 0 2 0 24 0 25 1 0 0 0 4 2 0 0 0 27 1 0 0 2 3 1 0 0 4 2 2 0 25 29 30 3 0 26 28 31 4 0 0 23 32 2 1 17 0 0 3 0 0 34 0 4 0 35 0 0 1 13 0 0 0 2 0 0 0 37 2 0 37 0 0 3 38 0 39 0 1 0 3 0 2..."

@RULE photons10v3ruleTree
@TREE
1 0 0 0 14
2 0 0 0 1
3 0 0 0 2
4 0 0 0 3
5 0 0 0 4
6 0 0 5 0
7 0 0 6 0
8 0 0 7 0
9 0 0 8 0
3 0 2 0 0
4 0 0 10 0
5 0 11 0 0
6 0 12 0 0
7 0 13 0 0
8 0 14 0 0
9 15 0 0 0
1 14 0 0 0
2 17 0 0 0
3 0 0 18 0
4 0 0 0 19
1 0 0 0 12
2 0 0 21 0
3 0 22 0 0
1 0 0 14 1
1 1 2 0 0
2 0 24 0 25
1 0 0 0 4
2 0 0 0 27
1 0 0 2 3
1 0 0 4 2
2 0 25 29 30
3 0 26 28 31
4 0 0 23 32
2 1 17 0 0
3 0 0 34 0
4 0 35 0 0
1 13 0 0 0
2 0 0 0 37
2 0 37 0 0
3 38 0 39 0
1 0 3 0 2
1 0 4 15 3
2 0 41 0 42
1 0 2 0 4
2 0 44 0 0
1 0 0 3 2
1 0 0 4 3
2 46 47 0 0
3 43 0 45 48
4 40 49 0 0
5 20 33 36 50
3 18 0 0 0
1 0 0 14 0
1 0 14 0 0
2 0 53 54 0
1 4 3 2 0
2 0 0 0 56
1 0 0 15 0
1 2 7 0 6
2 58 0 59 0
3 0 55 57 60
1 3 4 0 0
1 2 3 0 0
2 0 0 62 63
1 0 0 0 2
1 0 0 3 4
1 4 12 0 2
2 65 66 67 66
1 3 4 0 2
1 0 3 3 4
2 69 0 70 0
3 64 68 71 0
1 3 0 4 2
2 29 73 29 30
1 0 5 3 4
2 75 0 66 29
1 14 2 0 4
2 0 77 0 41
3 74 76 0 78
4 52 61 72 79
2 0 0 30 66
2 0 0 29 30
3 81 82 0 0
2 0 0 66 29
1 14 4 4 2
2 1 0 85 0
1 0 3 0 4
1 0 2 0 3
2 87 0 88 0
3 84 86 0 89
4 0 0 83 90
1 0 4 0 2
2 88 0 92 0
1 0 3 2 4
2 94 0 0 0
3 93 0 95 0
1 0 4 0 3
1 0 2 0 15
2 0 97 0 98
1 3 4 2 0
1 4 0 3 2
2 0 100 0 101
3 0 99 0 102
1 0 0 6 2
1 7 0 5 0
2 0 104 0 105
1 6 7 0 10
1 0 5 0 6
2 0 107 0 108
3 0 106 0 109
4 96 103 0 110
1 2 3 0 4
1 0 2 4 3
1 0 0 2 4
2 112 0 113 114
1 0 0 4 0
2 0 0 46 116
3 0 0 115 117
2 92 0 87 0
2 88 0 92 53
3 0 119 0 120
2 47 114 44 0
1 12 3 4 0
2 46 123 0 0
2 63 0 0 0
3 122 124 125 0
1 2 4 0 0
1 3 2 0 0
2 127 128 0 0
1 4 3 0 2
1 2 14 14 0
2 130 131 97 0
2 44 0 41 0
3 129 132 0 133
4 118 121 126 134
5 80 91 111 135
1 0 7 14 5
1 5 6 0 0
2 0 137 54 138
3 0 139 0 0
2 0 0 47 114
2 0 0 46 47
3 0 0 141 142
4 0 140 0 143
1 7 5 0 0
1 6 7 0 0
2 0 0 145 146
1 0 0 0 13
1 7 5 0 13
2 0 148 138 149
3 147 150 0 0
1 4 2 14 4
2 97 0 152 0
2 54 0 0 0
3 64 153 0 154
1 0 0 2 1
2 0 0 156 0
3 0 0 157 0
4 151 155 158 0
1 2 0 3 0
1 4 5 0 0
1 3 7 0 0
2 160 0 161 162
1 3 0 2 0
1 2 6 15 0
1 4 0 0 0
2 0 164 165 166
3 163 167 0 0
4 0 168 0 0
3 0 154 0 0
2 0 0 53 0
3 0 0 0 171
1 0 0 0 15
2 173 0 0 0
1 0 13 0 0
2 0 175 0 0
2 175 0 0 0
3 0 174 176 177
2 0 54 0 0
2 0 53 0 54
2 0 1 0 17
3 179 180 181 2
4 170 172 178 182
5 144 159 169 183
6 51 136 0 184
3 2 0 0 0
4 0 186 0 0
2 0 0 54 0
3 188 0 0 0
4 0 0 189 0
5 187 0 190 0
2 0 0 17 0
3 0 0 0 192
4 0 0 0 193
3 0 0 171 0
4 0 0 195 0
2 0 17 0 0
2 0 1 0 0
3 0 197 198 0
3 0 0 0 179
1 14 0 0 14
2 0 0 201 0
3 0 202 0 0
1 0 14 14 0
2 0 204 0 0
3 0 0 0 205
4 199 200 203 206
1 0 0 1 0
2 0 0 208 0
3 154 0 209 0
1 2 0 0 0
2 211 0 0 0
1 0 0 0 1
2 0 213 0 0
3 212 0 0 214
1 0 0 2 0
2 216 0 0 0
3 0 0 217 0
4 210 0 215 218
5 194 196 207 219
2 1 0 17 0
3 0 221 0 0
2 0 0 0 201
3 0 0 223 0
4 222 0 224 0
5 0 0 225 0
6 191 0 220 226
3 205 0 0 0
4 0 228 0 0
2 0 0 0 54
3 230 171 0 0
4 231 0 0 0
5 229 232 0 0
6 0 233 0 0
4 52 0 0 0
5 235 0 0 0
6 236 0 0 0
7 185 227 234 237
8 238 0 0 0
9 239 0 0 0
10 0 9 16 240
@COLORS
0 0 0 0
1 255 255 255
2 191,191,191
3 0,255,255
4 255,0,255
5 191,0,191
6 255,255,0
7 223,223,0
8 191,191,0
9 0,0,255
10 0,0,223
11 0,0,191
12 0,255,0
13 0,234,0
14 0,213,0
15 0,191,0
16 255,0,0
17 234,0,0
18 213,0,0
19 191,0,0
20 127,255,255
21 111,239,239
22 95,223,223
23 79,207,207
24 63,191,191
25 255,127,255
26 239,111,239
27 223,95,223
28 207,79,207
29 191,63,191
30 0, 255, 195
31 0, 224, 171
32 0, 192, 147
33 0, 160, 123
34 0, 128, 99
35 127,127,255
36 111,111,239
37 95,95,223
38 79,79,207
39 63,63,191
40 255,0,255
41 255,0,191
42 247,0,183
43 240,0,176
44 233,0,169
45 226,0,162
46 255,127,127
47 242,114,114
48 229,101,101
49 216,88,88
50 203,75,75
51 191,63,63
52 0,127,255
53 0,116,244
54 0,105,233
55 0,95,223
56 0,84,212
57 0,73,202
58 0,63,191
59 0,255,127
60 0,244,116
61 0,233,105
62 0,223,95
63 0,212,84
64 0,202,73
65 0,191,63
66 127,0,255
67 116,0,244
68 105,0,233
69 95,0,223
70 84,0,212
71 73,0,202
72 63,0,191
73 127,127,127
74 116,116,116
75 105,105,105
76 95,95,95
77 84,84,84
78 73,73,73
79 63,63,63
80 127,255,0
81 116,244,0
82 105,233,0
83 95,223,0
84 84,212,0
85 73,202,0
86 63,191,0
87 255,0,127
88 244,0,116
89 233,0,105
90 223,0,95
91 212,0,84
92 202,0,73
93 191,0,63
94 255,127,0
95 245,117,0
96 237,108,0
97 227,99,0
98 218,90,0
99 209,81,0
100 200,72,0
101 191,63,0
102 0,127,127
103 0,117,117
104 0,108,108
105 0,99,99
106 0,90,90
107 0,81,81
108 0,72,72
109 0,63,63
110 127,0,127
111 117,0,117
112 108,0,108
113 99,0,99
114 90,0,90
115 81,0,81
116 72,0,72
117 63,0,63
118 127,127,0
119 117,117,0
120 108,108,0
121 99,99,0
122 90,90,0
123 81,81,0
124 72,72,0
125 63,63,0
126 0,0,127
127 0,0,119
128 0,0,111
129 0,0,103
130 0,0,95
131 0,0,87
132 0,0,79
133 0,0,71
134 0,0,63
135 0,127,0
136 0,119,0
137 0,111,0
138 0,103,0
139 0,95,0
140 0,87,0
141 0,79,0
142 0,71,0
143 0,63,0
144 127,0,0
145 119,0,0
146 111,0,0
147 103,0,0
148 95,0,0
149 87,0,0
150 79,0,0
151 71,0,0
152 63,0,0
153 255,191,0
154 247,183,0
155 239,175,0
156 231,167,0
157 223,159,0
158 215,151,0
159 207,143,0
160 199,135,0
161 191,127,0
162 191,255,0
163 183,247,0
164 175,239,0
165 167,231,0
166 159,223,0
167 151,215,0
168 143,207,0
169 135,199,0
170 127,191,0
171 0,255,191
172 0,247,183
173 0,239,175
174 0,231,167
175 0,223,159
176 0,215,151
177 0,207,143
178 0,199,135
179 0,191,127
180 0,191,255
181 0,183,247
182 0,176,240
183 0,169,233
184 0,162,226
185 0,155,219
186 0,148,212
187 0,141,205
188 0,134,198
189 0,127,191
190 191,0,255
191 183,0,247
192 176,0,240
193 169,0,233
194 162,0,226
195 155,0,219
196 148,0,212
197 141,0,205
198 134,0,198
199 127,0,191
200 118,246,118
201 105,231,105
202 92,220,92
203 79,207,79
204 67,195,67
205 54,178,54
206 41,169,41
207 28,156,28
208 15,143,15
209 2,130,2
210 50,50,50
211 45,45,50
212 40,40,50
213 35,35,50
214 30,30,50
215 25,25,50
216 25,20,50
217 25,15,50
218 25,10,50
219 25,5,50
@NAMES
0 dead
1 asset
2 orthag
3 diag
4 knightwise 1
5 knightwise 2
6 camelwise 1
7 camelwise 2
8 camelwise 3
9 zebrawise 1
10 zebrawise 2
11 zebrawise 3
12 giraffewise 1
13 giraffewise 2
14 giraffewise 3
15 giraffewise 4
16 antelopewise 1
17 antelopewise 2
18 antelopewise 3
19 antelopewise 4
20 ibiswise 1
21 ibiswise 2
22 ibiswise 3
23 ibiswise 4
24 ibiswise 5
25 kiwiwise 1
26 kiwiwise 2
27 kiwiwise 3
28 kiwiwise 4
29 kiwiwise 5
30 peacockwise 1
31 peacockwise 2
32 peacockwise 3
33 peacockwise 4
34 peacockwise 5
35 parrotwise 1
36 parrotwise 2
37 parrotwise 3
38 parrotwise 4
39 parrotwise 5
40 flamingowise 1
41 flamingowise 2
42 flamingowise 3
43 flamingowise 4
44 flamingowise 5
45 flamingowise 6
46 eaglewise 1
47 eaglewise 2
48 eaglewise 3
49 eaglewise 4
50 eaglewise 5
51 eaglewise 6
52 Lionwise 1
53 Lionwise 2
54 Lionwise 3
55 Lionwise 4
56 Lionwise 5
57 Lionwise 6
58 Lionwise 7
59 leopardwise 1
60 leopardwise 2
61 leopardwise 3
62 leopardwise 4
63 leopardwise 5
64 leopardwise 6
65 leopardwise 7
66 pantherwise 1
67 pantherwise 2
68 pantherwise 3
69 pantherwise 4
70 pantherwise 5
71 pantherwise 6
72 pantherwise 7
73 cougarwise 1
74 cougarwise 2
75 cougarwise 3
76 cougarwise 4
77 cougarwise 5
78 cougarwise 6
79 cougarwise 7
80 tigerwise 1
81 tigerwise 2
82 tigerwise 3
83 tigerwise 4
84 tigerwise 5
85 tigerwise 6
86 tigerwise 7
87 lynxwise 1
88 lynxwise 2
89 lynxwise 3
90 lynxwise 4
91 lynxwise 5
92 lynxwise 6
93 lynxwise 7
94 nautiluswise 1
95 nautiluswise 2
96 nautiluswise 3
97 nautiluswise 4
98 nautiluswise 5
99 nautiluswise 6
100 nautiluswise 7
101 nautiluswise 8
102 squidwise 1
103 squidwise 2
104 squidwise 3
105 squidwise 4
106 squidwise 5
107 squidwise 6
108 squidwise 7
109 squidwise 8
110 cuttlefishwise 1
111 cuttlefishwise 2
112 cuttlefishwise 3
113 cuttlefishwise 4
114 cuttlefishwise 5
115 cuttlefishwise 6
116 cuttlefishwise 7
117 cuttlefishwise 8
118 otcopuswise 1
119 otcopuswise 2
120 otcopuswise 3
121 otcopuswise 4
122 otcopuswise 5
123 otcopuswise 6
124 otcopuswise 7
125 otcopuswise 8
126 elephantwise 1
127 elephantwise 2
128 elephantwise 3
129 elephantwise 4
130 elephantwise 5
131 elephantwise 6
132 elephantwise 7
133 elephantwise 8
134 elephantwise 9
135 rhinowise 1
136 rhinowise 2
137 rhinowise 3
138 rhinowise 4
139 rhinowise 5
140 rhinowise 6
141 rhinowise 7
142 rhinowise 8
143 rhinowise 9
144 hippowise 1
145 hippowise 2
146 hippowise 3
147 hippowise 4
148 hippowise 5
149 hippowise 6
150 hippowise 7
151 hippowise 8
152 hippowise 9
153 buffalowise 1
154 buffalowise 2
155 buffalowise 3
156 buffalowise 4
157 buffalowise 5
158 buffalowise 6
159 buffalowise 7
160 buffalowise 8
161 buffalowise 9
162 waterbeastwise 1
163 waterbeastwise 2
164 waterbeastwise 3
165 waterbeastwise 4
166 waterbeastwise 5
167 waterbeastwise 6
168 waterbeastwise 7
169 waterbeastwise 8
170 waterbeastwise 9
171 wildbeastwise 1
172 wildbeastwise 2
173 wildbeastwise 3
174 wildbeastwise 4
175 wildbeastwise 5
176 wildbeastwise 6
177 wildbeastwise 7
178 wildbeastwise 8
179 wildbeastwise 9
180 ogrewise 1
181 ogrewise 2
182 ogrewise 3
183 ogrewise 4
184 ogrewise 5
185 ogrewise 6
186 ogrewise 7
187 ogrewise 8
188 ogrewise 9
189 ogrewise 10
190 golemwise 1
191 golemwise 2
192 golemwise 3
193 golemwise 4
194 golemwise 5
195 golemwise 6
196 golemwise 7
197 golemwise 8
198 golemwise 9
199 golemwise 10
200 trollwise 1
201 trollwise 2
202 trollwise 3
203 trollwise 4
204 trollwise 5
205 trollwise 6
206 trollwise 7
207 trollwise 8
208 trollwise 9
209 trollwise 10
210 goliathwise 1
211 goliathwise 2
212 goliathwise 3
213 goliathwise 4
214 goliathwise 5
215 goliathwise 6
216 goliathwise 7
217 goliathwise 8
218 goliathwise 9
219 goliathwise 10

Rule:Photons10v3ruletable

2025-06-24T21:45:35Z

Rule:TailLogic

2025-06-15T02:40:08Z

CARuler: Created page with "@RULE TailLogic @COLORS 0 0 0 0 1 0 255 255 2 128 128 128 3 96 96 96 4 64 64 64 5 255 255 255 6 224 224 224 7 192 192 192 8 255 255 0 9 255 0 0 10 255 128 0 11 0 255 0 12 0 0 255 13 255 0 255 14 148 0 255 15 128 84 40 @NAMES 0 default 1 photon head 2 tail1 0 3 tail2 0 4 tail3 0 5 tail1 1 6 tail2 1 7 tail3 1 8 and 9 rewrite 0 10 rewrite 1 11 or 12 xor 13 lengthen/invert 14 spilt/reflect 15 rewrite @TABLE n_states:16 neighborhood:Moore s..."

@RULE TailLogic
@COLORS
0 0 0 0
1 0 255 255
2 128 128 128
3 96 96 96
4 64 64 64
5 255 255 255
6 224 224 224
7 192 192 192
8 255 255 0
9 255 0 0
10 255 128 0
11 0 255 0
12 0 0 255
13 255 0 255
14 148 0 255
15 128 84 40
@NAMES
0 default
1 photon head
2 tail1 0
3 tail2 0
4 tail3 0
5 tail1 1
6 tail2 1
7 tail3 1
8 and
9 rewrite 0
10 rewrite 1
11 or
12 xor
13 lengthen/invert
14 spilt/reflect
15 rewrite
@TABLE
n_states:16
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
var i = {2,3,4}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
var q = {5,6,7}
var r = q
var s = q
var t = q
var u = q
var v = q
var w = q
var x = q
var y = {2,5}
var z = {3,6}
var A = {4,7}
var B = {2,3,4,5,6,7}
var C = {1,y}
var D = {1,z}
var E = {1,A}
var F = {0,2}
var G = {0,3}
var H = {0,4}
var I = {9,10,15}
var J = {1,B}
var K = B
var L = K
var M = {1,y}
var N = {1,z}
var O = {1,A}

0,0,1,8,1,0,0,0,0,1
0,0,1,11,1,0,0,0,0,1
0,0,1,12,1,0,0,0,0,1
#invert
1,13,0,2,0,13,0,0,0,5
1,13,0,3,0,13,0,0,0,6
1,13,0,4,0,13,0,0,0,7
1,13,0,5,0,13,0,0,0,2
1,13,0,6,0,13,0,0,0,3
1,13,0,7,0,13,0,0,0,4
z,13,0,4,0,13,0,M,0,7
z,13,0,7,0,13,0,M,0,4
A,13,0,2,0,13,0,N,0,5
A,13,0,5,0,13,0,N,0,2
y,13,0,3,0,13,0,O,0,6
y,13,0,6,0,13,0,O,0,3

#default-like
#xor gate
C,a,3,12,3,b,c,d,e,3
C,a,6,12,3,b,c,d,e,6
C,a,6,12,6,b,c,d,e,3
D,a,4,12,4,b,c,d,e,4
D,a,7,12,4,b,c,d,e,7
D,a,7,12,7,b,c,d,e,4
E,a,2,12,2,b,c,d,e,2
E,a,5,12,2,d,b,c,e,5
E,a,5,12,5,b,c,d,e,2
0,1,12,a,b,c,d,e,f,0
#lenghten
B,13,0,K,0,0,0,0,0,12
12,13,a,b,c,d,e,f,g,0
y,12,13,0,0,B,0,0,0,3
z,12,13,0,0,B,0,0,0,4
A,12,13,0,0,B,0,0,0,2
#cut
B,K,a,1,b,L,c,d,e,0
#revive
0,B,0,1,0,0,0,0,0,1
1,J,0,0,B,0,0,0,0,0
#rewriter
I,a,0,i,0,b,c,d,e,9
I,a,0,q,0,b,c,d,e,10
1,y,a,9,b,c,d,e,f,2
1,z,a,9,b,c,d,e,f,3
1,A,a,9,b,c,d,e,f,4
1,y,a,10,b,c,d,e,f,5
1,z,a,10,b,c,d,e,f,6
1,A,a,10,b,c,d,e,f,7
y,B,a,9,b,J,c,d,e,3
y,B,a,10,b,J,c,d,e,6
z,B,a,9,b,J,c,d,e,4
z,B,a,10,b,J,c,d,e,7
A,B,a,9,b,J,c,d,e,2
A,B,a,10,b,J,c,d,e,5
#spliter/reflector
0,14,0,1,a,0,0,0,0,1
#or gate
0,1,11,a,b,c,d,e,f,0
C,a,3,11,G,b,c,d,e,3
C,a,6,11,G,b,c,d,e,6
C,a,6,11,6,b,c,d,e,6
D,a,4,11,H,b,c,d,e,4
D,a,7,11,H,b,c,d,e,7
D,a,7,11,7,b,c,d,e,7
E,a,2,11,F,b,c,d,e,2
E,a,5,11,F,b,c,d,e,5
E,a,5,11,5,b,c,d,e,5
#colide
0,1,a,1,b,c,d,e,f,0
#and gate
C,a,3,8,3,b,c,d,e,3
C,a,6,8,3,b,c,d,e,3
C,a,6,8,6,b,c,d,e,6
D,a,4,8,4,b,c,d,e,4
D,a,7,8,4,b,c,d,e,4
D,a,7,8,7,b,c,d,e,7
E,a,2,8,2,b,c,d,e,2
E,a,5,8,2,d,b,c,e,2
E,a,5,8,5,b,c,d,e,5
0,1,8,a,b,c,d,e,f,0
#photon and tail
1,B,a,b,c,d,e,f,g,B
0,1,i,a,b,c,d,e,f,0
0,1,q,a,b,c,d,e,f,0
0,1,a,b,c,d,e,f,g,1
y,z,a,b,c,d,e,f,g,z
z,A,a,b,c,d,e,f,g,A
A,y,a,b,c,d,e,f,g,y
#defaults
B,a,b,c,d,e,f,g,h,0
1,a,b,c,d,e,f,g,h,2
9,a,b,c,d,e,f,g,h,15
10,a,b,c,d,e,f,g,h,15

Rule:AKnightRule

2025-04-20T19:28:22Z

CARuler:

@RULE AKnightRule
@TABLE
n_states:17
neighborhood:Moore
symmetries:none
var A={0,1}
var B=A
var C=A
var D=A
var E=A
var X={0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}
1,A,0,B,0,C,0,D,0,0
E,A,1,B,0,C,0,D,0,16
E,A,0,B,1,C,0,D,0,2
E,A,1,B,1,C,0,D,0,3
E,A,0,B,0,C,1,D,0,4
E,A,1,B,0,C,1,D,0,5
E,A,0,B,1,C,1,D,0,6
E,A,1,B,1,C,1,D,0,7
E,A,0,B,0,C,0,D,1,8
E,A,1,B,0,C,0,D,1,9
E,A,0,B,1,C,0,D,1,10
E,A,1,B,1,C,0,D,1,11
E,A,0,B,0,C,1,D,1,12
E,A,1,B,0,C,1,D,1,13
E,A,0,B,1,C,1,D,1,14
E,A,1,B,1,C,1,D,1,15

var _0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15={0,8,4,12,2,10,6,14,16,9,5,13,3,11,7,15}
var _0_4_2_6={0,4,2,6}
var _4_12_6_14_5_13_7_15={4,12,6,14,5,13,7,15}
var _16_9_5_13={16,9,5,13}
var _8_12_10_14_9_13_11_15={8,12,10,14,9,13,11,15}
var _0_8_16_9={0,8,16,9}
var _16_9_5_13_3_11_7_15={16,9,5,13,3,11,7,15}
var _0_2_16_3={0,2,16,3}
var _2_10_6_14_3_11_7_15={2,10,6,14,3,11,7,15}
var _0_8_2_10_16_9_3_11={0,8,2,10,16,9,3,11}
var _0_4_2_6_16_5_3_7={0,4,2,6,16,5,3,7}
var _0_8_4_12_2_10_6_14={0,8,4,12,2,10,6,14}
var _8_10_9_11={8,10,9,11}
var _0_8_4_12_16_9_5_13={0,8,4,12,16,9,5,13}
var _16_5_3_7={16,5,3,7}
var _0_8_4_12={0,8,4,12}
var _2_10_3_11={2,10,3,11}
var _8_12_10_14={8,12,10,14}
var _4_6_5_7={4,6,5,7}
var _2_10_6_14={2,10,6,14}
var _4_12_5_13={4,12,5,13}
var _6_14_7_15={6,14,7,15}
var _12_14_13_15={12,14,13,15}
var _3_11_7_15={3,11,7,15}
var _9_13_11_15={9,13,11,15}
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_12_14_13_15,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_4_12_5_13,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_16_5_3_7,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_8_12_10_14,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_8_10_9_11,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_2_10_3_11,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_16_9_5_13,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_4_12_5_13,_0_8_4_12_2_10_6_14,_4_6_5_7,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_6_14_7_15,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_16_5_3_7,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_2_10_3_11,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_8_12_10_14,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_4_12_5_13,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_16_5_3_7,_0_8_2_10_16_9_3_11,_16_9_5_13,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_16_9_5_13,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_8_10_9_11,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_2_10_6_14,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_4_6_5_7,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_8_10_9_11,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_9_13_11_15,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_2_10_6_14,_0_4_2_6_16_5_3_7,_2_10_3_11,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_2_10_6_14,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_8_12_10_14,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_3_11_7_15,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_4_6_5_7,_2_10_6_14_3_11_7_15,1

var A=X
var B=A
var C=A
var D=A
var E=A
var F=A
var G=A
var H=A
X,A,B,C,D,E,F,G,H,0
@COLORS
1 255 255 255
2 0 0 255
3 0 128 255
4 0 0 255
5 0 128 255
6 0 128 255
7 0 255 255
8 0 0 255
9 0 128 255
10 0 128 255
11 0 255 255
12 0 128 255
13 0 255 255
14 0 255 255
15 0 255 128
16 0 0 255

Rule:HMM

2025-04-15T00:52:54Z

CARuler: Created page with "@RULE HMM @COLORS 1 0 255 255 2 128 128 128 3 255 0 0 4 0 255 0 5 255 0 255 @TABLE n_states:6 neighborhood:Moore symmetries:rotate4reflect var a = {0,1,2,3,4,5} var b = a var c = a var d = a var e = a var f = a var g = a var h = a # Snowflake push 3,1,2,0,0,0,0,0,0,4 0,0,0,4,0,0,a,b,c,3 4,a,b,c,d,e,f,g,h,0 2,0,3,1,2,0,0,2,0,2 # Reflection 1,3,0,2,0,2,0,0,0,1 2,2,1,0,0,0,0,0,0,2 1,2,0,4,0,2,2,0,0,2 0,2,2,1,2,0,0,0,0,1 1,2,0,2,0,2,0,0,0,1 # Eater push 0,5,1..."

@RULE HMM

@COLORS
1 0 255 255
2 128 128 128
3 255 0 0
4 0 255 0
5 255 0 255

@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect

var a = {0,1,2,3,4,5}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a

# Snowflake push
3,1,2,0,0,0,0,0,0,4
0,0,0,4,0,0,a,b,c,3
4,a,b,c,d,e,f,g,h,0
2,0,3,1,2,0,0,2,0,2
# Reflection
1,3,0,2,0,2,0,0,0,1
2,2,1,0,0,0,0,0,0,2
1,2,0,4,0,2,2,0,0,2
0,2,2,1,2,0,0,0,0,1
1,2,0,2,0,2,0,0,0,1
# Eater push
0,5,1,2,2,0,0,0,0,2
0,5,1,0,0,0,0,0,0,2
5,2,a,b,c,2,d,e,f,0
0,0,2,5,2,0,0,0,0,5
# Snowflake circuitry
3,5,0,0,0,0,0,0,0,4
3,3,0,0,0,0,0,0,0,4

# Photon
0,0,1,0,a,b,c,d,e,1
0,1,b,c,d,e,f,g,h,2
0,0,1,2,d,e,f,g,h,2
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0

Talk:Higher-range isotropic non-totalistic rule

2025-04-13T20:57:09Z

CARuler:

the hash neighborhood should be included, will add it someday

Higher-range isotropic non-totalistic rule

2025-03-27T02:29:22Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -<ref group="n">it has been suggested to call this the R2 ring neighborhood</ref>
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Talk:Higher-range isotropic non-totalistic rule

2025-03-27T02:27:07Z

CARuler:

the hash neighborhood should be included, will add it tomorrow

Higher-range isotropic non-totalistic rule

2025-03-26T02:56:05Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! [2,1],[1,0] ((1,0;1)-(0,1;1) (CARuler's notation))
| {4,4}
| 2
| 2
| nonstandard
| 570
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208156#p208156 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hash neighborhood
| {4,4}
|2
|2
| hash
| 16404
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208156#p208156 Yes]
| style="background-color:#c6efce;" | yes
| style="background-color:#c6efce;" | yes
| style="background-color:#ffffdd;" | maybe
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Talk:Higher-range isotropic non-totalistic rule

2025-03-26T02:36:37Z

CARuler: Blanked the page

Higher-range isotropic non-totalistic rule

2025-03-26T02:35:14Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! [2,1],[1,0] ((1,0;1)-(0,1;1) (CARuler's notation))
| {4,4}
| 2
| 2
| nonstandard
| 570
| style="background-color:#ffc7ce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208156#p208156 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hash neighborhood
| {4,4}
|2
|2
| hash
| 16404
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208156#p208156 Yes]
| style="background-color:#c6efce;" | yes
| style="background-color:#c6efce;" | yes
| style="background-color:#ffffdd;" | maybe
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Higher-range isotropic non-totalistic rule

2025-03-26T02:23:28Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! [2,1],[1,0] ((1,0;1)-(0,1;1) (CARuler's notation))
| {4,4}
| 2
| 2
| nonstandard
| 570
| style="background-color:#ffc7ce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208156#p208156 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Talk:Higher-range isotropic non-totalistic rule

2025-03-26T02:20:22Z

CARuler: Created page with "who took that off! put it back!"

who took that off! put it back!

Higher-range isotropic non-totalistic rule

2025-03-26T00:48:03Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! [2,1],[1,0] ((1,0;1)-(0,1;1) (CARuler's notation))
| {4,4}
| 2
| 2
| nonstandard
| 570
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208145#p208145 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | No
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Higher-range isotropic non-totalistic rule

2025-03-26T00:47:24Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! [2,1],[1,0] ((1,0;1)-(0,1;1) (CARuler's notation))
| {4,4}
| 2
| 2
| nonstandard
| 570
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208145#p208145 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Higher-range isotropic non-totalistic rule

2025-03-26T00:46:30Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! [2,1],[1,0] ((1,0;1)-(0,1;1) (CARuler's notation))
| {4,4}
| 2
| 570
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208145#p208145 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Higher-range isotropic non-totalistic rule

2025-03-26T00:45:06Z

CARuler:

'''Higher-range isotropic non-totalistic''' (abbreviated as '''HRINT''') are a generalization of range-1 [[isotropic non-totalistic]] rules and of [[higher-range outer-totalistic]] rules; a rulespace with a range greater than 1 where isotropy is observed, but transitions are not necessarily totalistic.

There are a wide variety of such rules, with limited software support.

== Classes ==

=== "Exploded" Moore neighbourhood ===
The range-1, 8-cell [[Moore neighbourhood]] can be "exploded" into other neighbourhoods consisting of four orthogonal cells of distance E and four diagonal cells of distance C.<ref name="post128801" /> Isotropic non-totalistic rules can be run using this neighbourhood using standard [[Hensel notation]].

Neighbourhoods with orthogonal cells of distance 1 and diagonal cells of distance 2, as well as with orthogonal cells of distance 3 and diagonal cells of distance 1, can be run using [[CAViewer]].

=== Range-2 cross neighbourhood ===
A proposal for a notation for this neighbourhood was created in 2017 as a result of a misunderstanding of how the range-2 von Neumann neighbourhood was to be defined.<ref name="post50386" /> A second notation for this neighbourhood was created in mid-2020,<ref name="post101003" /> however a 3-cell transition and its corresponding 5-cell transition was mistakenly omitted.<ref name="p128945">{{LinkForumThread|f=3|t=1622|p=128945|title=Re: Pattern viewer for forum threads|format=ref}}</ref>

The following notation is supported by [[CAViewer]]. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 cross)}}

=== Range-2 knight neighbourhood ===
A proposal for a notation for this neighbourhood was created in mid-2020.<ref name="post101003"/> However, the proposal duplicated one of the 4-cell transitions.<ref name="p128945"/>

The following notation is supported by CAViewer. Whether other programs will implement support for this rulespace currently remains unknown.
{{Isotropic non-totalistic transitions (range-2 knight)}}

=== 4-cell extensions ===
A notation system exists that can be used for extending existing isotropic non-totalistic rules by adding four equidistant cells, either orthogonally or diagonally aligned with the center. This can be used for notating isoptropic non-totalistic rules with the range-2 von Neumann neighbourhood, or any of the other three equivalent neighbourhoods below. It is also used for notating the range-3 cross neighbourhood by extending the range-2 cross neighbourhood.

{{EmbedViewer
|rle = x = 29, y = 5, rule = B/S01234V
2bo5bo3bo3bobobo3bobobo$b3o5b3o6bo6bobo$2ob2o4bobo4b2ob2o3bo3bo$b3o5b
3o6bo6bobo$2bo5bo3bo3bobobo3bobobo!
|viewerconfig = #C [[ NOGUI ]]
|position = center
|caption = These four neighbourhoods are effectively equivalent
}}

The extension-based notation was initially proposed on February 24, 2019 by [[AforAmpere]] and [[Milo Jacquet]] for range-2 von Neumann isotropic non-totalistic rules.<ref name="post71574" /> Prior to this, a two-letter system was proposed for said rulespace, in which two letters were used for each of the 618 possible transitions; this ultimately was not adopted.<ref name="post70180" /><ref name="post71574" />

A table for the extensions notation is as follows:
{{Isotropic non-totalistic transitions (square grid extensions)}}

For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.

For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.

'x' is used after a totalistic number. An example range-2 von Neumann rulestring is 'B3x2ic1ei5x-3kr/S0x8x'.

[[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells for range-2 von Neumann rules.<ref name="post102838" />

CAViewer supports this notation for the range-2 von Neumann neighbourhood.<ref name="post113480"/>

=== 3-state, range-1 Moore neighbourhood ===
Several notations have been proposed historically. The currently accepted notation, which does not currently have software support, was published by Cyclotrons in 2023.<ref>https://conwaylife.com/forums/viewtopic.php?p=164994#p164994</ref>

== Table of isotropic non-totalistic rulespaces ==
{{split|List of rulespaces}}
The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples (grids are notated with [[Schläfli symbol]]s as to simultaneously convey grid type and dimension):

{| class="wikitable" style="margin-left:auto;margin-right:auto;text-align:center;"
! rowspan="2" | Common name
! colspan="4" | Rulespace definitions
! rowspan="2" | Transitions
! rowspan="2" | Notated?
! colspan="3" | Major software support
|-
! Grid
! Range
! States
! Neighbourhood
! Golly
! LifeViewer
! lifelib
|-
! Block cellular automata
| {4,4}
| 1/2
| 2
| Moore
| 6
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=3243&p=55536#p55536 Yes]
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! -
| {4,4}
| 1
| 2
| von Neumann
| 6
| style="background-color:#c6efce;" | Trivial
| colspan="3" style="background-color:#c6efce;" | (Unnecessary)
|-
! 3D vN non-totalistic
| {4,3,4}
| 1
| 2
| von Neumann
| 10
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Non-totalistic hexagonal
| {6,3}
| 1
| 2
| hexagonal
| 13
| style="background-color:#c6efce;" | [https://conwaylife.com/ref/lifepage/hexrule.txt Yes]
| style="background-color:#ffc7ce;" | No<ref group="n">The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Knight INT
| {4,4}
| 2
| 2
| knight
| 43
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Isotropic non-totalistic
| {4,4}
| 1
| 2
| Moore
| 51
| style="background-color:#c6efce;" | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
! Exploded
| {4,4}
| ≥1
| 2
| variable<ref group="n">Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.</ref>
| 51
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=4763#p128801 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffffdd;" | Some<ref group="n">The range-N "far corners" + range-M "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
| style="background-color:#ffffdd;" | Some<ref group="n">The range-2 "far corners" and range-3 "far edges" cases are supported, but the general case of exploded Moore neighbourhoods are not.</ref>
|-
! Cross INT
| {4,4}
| 2
| 2
| cross
| 55
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=3&t=1622&p=101003#p101003 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 von Neumann INT
| {4,4}
| 2
| 2
| von Neumann
| 618
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?t=&p=70180#p70180 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! -
| {6,3}
| 2
| 2
| nonstandard<ref group="n">12 cells: 6 orthogonal and 6 diagonal</ref>
| 860
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! -
| {4,4}
| 2
| 2
| nonstandard<ref group="n">The number is the same for a "circle" formed of four three-cell lines at distance 2 from the center, and four "pre-blocks" with the gaps all facing the center or all facing outwards (or any configuration of eight eightfold neighbours and two fourfold ones)</ref>
| 570
| style="background-color:#ffc7ce;" |
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! [2,1],[1,0] ((1,0;1)-(0,1;1) (CARuler's notation))
| 570
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6519&p=208145#p208145 Yes]
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
|-
! 3-state knight INT
| {4,4}
| 2
| 3
| knight
| 873
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state INT
| {4,4}
| 1
| 3
| Moore
| 954
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?p=164994#p164994 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3">The rulespace can be simulated via ruletables, however no direct support for the notation exists.</ref>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 3-state cross INT
| {4,4}
| 2
| 3
| cross
| 1035
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! Triangular INT
| {3,6}
| 1
| 2
| triangular Moore
| 1504
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state knight INT
| {4,4}
| 2
| 4
| knight
| 8356
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4-state INT
| {4,4}
| 1
| 4
| Moore
| 8740
| style="background-color:#c6efce;" | [https://conwaylife.com/forums/viewtopic.php?f=11&t=6126 Yes]
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
| style="background-color:#ffc7ce;" | No<ref group="n" name="no3"/>
|-
! 4-state cross INT
| {4,4}
| 2
| 4
| cross
| 9316
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 hexagonal INT
| {6,3}
| 2
| 2
| hexagonal
| 22668
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3-state R2 vN INT
| {4,4}
| 2
| 3
| von Neumann
| 68715
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore-without-corners
| {4,4}
| 2
| 2
| circular
| 132744
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 3D non-totalistic
| {4,3,4}
| 1
| 2
| Moore
| 1426144<ref group="n">first calculated by Milo Jacquet</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! R2 Moore INT
| {4,4}
| 2
| 2
| Moore
| 2105872
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 24-cell honeycomb
| {3,4,3,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 4D non-totalistic
| {4,3,3,4}
| 1
| 2
| Moore
| 3148244699232062849152<ref group="n">first calculated using the [[Pólya enumeration theorem]] by [https://gist.github.com/DroneBetter/90318584a0ad6a0f4d1c418d3da132cd DroneBetter's <tt>dimensional_INT_enumerator.py</tt>] (explained [[User:DroneBetter/dimensional INT enumerator|here]])</ref>
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|-
! 16-cell honeycomb
| {3,3,4,3}
| 1
| 2
| Moore
| ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
|}
<references group="n"/>

The number of unique transitions in rulespaces with range-1 von Neumann neighbourhoods (or equivalent) with <tt>n</tt> states follows the {{LinkWikipedia|Doubly_triangular_number|name=doubly-triangular numbers|nobullet=nobullet|nosuffix=nosuffix}}, <tt>{{OEIS|A002817}}(n)</tt>.

A rule with an <tt>n</tt>-dimensional range-<tt>k</tt> Moore neighbourhood has <tt>{{OEIS|A361870}}(n,2*k+1)</tt> transitions.

== Soup-searching non-totalistic rules ==
Range 2 von Neumann isotropic rules can be searched using [[Adam P. Goucher]]'s [[apgsearch]] by means of a ruletable using a custom neighbourhood.<ref name="post99110" /> However, note that GPU censuses support only outer-totalistic rules.

== See also ==
* [[Generations]]
* [[Larger than Life]]

== References ==
<references>
<ref name="post128801">{{LinkForumThread
|format = ref
|title = Re: Lemon41625's Cellular Automaton
|p = 128801
|author = Connor Steppie
|date = April 23, 2021
}}</ref>
<ref name="post71574">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 71574
|author = AforAmpere
|date = February 23, 2019
}}</ref>
<ref name="post50386">{{LinkForumThread
|format = ref
|title = Re: Golly suggestions
|p = 50386
|author = toroidalet
|date = September 2, 2017
}}</ref>
<ref name="post101003">{{LinkForumThread
|format = ref
|title = Re: Pattern viewer for forum threads
|p = 101003
|author = lemon41625
|date = July 23, 2020
}}</ref>
<ref name="post70180">{{LinkForumThread
|format = ref
|title = Range-2 von Neumann isotropic non-totalistic rulespace
|p = 70180
|author = Connor Steppie
|date = February 9, 2019
}}</ref>
<ref name="post102838">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 102838
|author = bubblegum
|date = August 26, 2020
}}</ref>
<ref name="post113480">{{LinkForumThread
|format = ref
|title = Re: CAViewer - A Cellular Automaton Simulator written in Java
|p = 113480
|author = lemon41625
|date = November 29, 2020
}}</ref>
<ref name="post99110">{{LinkForumThread
|format = ref
|title = Re: Range-2 von Neumann isotropic non-totalistic rulespace
|p = 99110
|author = lemon41625
|date = June 19, 2020
}}</ref>
</references>

[[Category:Algorithms]]
[[Category:Cellular automata]]
__NOTOC__

Rule:InteractiveClusters

2025-03-14T02:14:47Z

CARuler: Created page with "@RULE interactiveClusters @TABLE n_states:3 neighborhood:Moore symmetries:permute var a = {0,1,2} var b = a var c = a var d = a var e = a var f = a var g = a var h = a var i = {0,2} var j = i var k = i var l = i var m = i var n = i var o = i var p = i 2,1,1,1,1,1,1,2,2,1 #cgol i,1,1,1,j,k,l,m,n,1 1,1,1,a,i,j,k,l,m,1 #defaults 0,1,a,b,c,d,e,f,g,2 2,1,b,c,d,e,f,g,h,2 1,a,b,c,d,e,f,g,h,0 2,a,b,c,d,e,f,g,h,0 @NAMES 0 dead 1 life 2 clusters @COLORS 0 0 0 0 1 255 255..."

@RULE interactiveClusters
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a = {0,1,2}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
var i = {0,2}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i

2,1,1,1,1,1,1,2,2,1

#cgol
i,1,1,1,j,k,l,m,n,1
1,1,1,a,i,j,k,l,m,1

#defaults
0,1,a,b,c,d,e,f,g,2
2,1,b,c,d,e,f,g,h,2
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0
@NAMES
0 dead
1 life
2 clusters
@COLORS
0 0 0 0
1 255 255 255
2 0 0 255

Rule:NightStar2extended2

2025-03-14T02:13:50Z

CARuler: Created page with "@RULE NightStar2extended2 This has been extended by R2INT to include 10 new patterns. @TABLE n_states:4 neighborhood:Moore symmetries:rotate4reflect var a = {0,1,2,3} 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} var j = i var k = i var l = i var m = i var n = i var o = i var p = i 3,0,0,0,0,0,0,0,0,2 2,0,0,0,0,0,0,0,0,1 1,0,0,0,0,0,0,0,0,3 0,1,0,0,0,0,0,0,0,2 0,2,3,2,0,0,0,0,0,1 2,0,2,3,2,0,0,0,0,2 0,1,2,0,0,0,0,0,0,3 0,0,1,2,1,0,..."

@RULE NightStar2extended2
This has been extended by R2INT to include 10 new patterns.
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3}
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}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
3,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,3
0,1,0,0,0,0,0,0,0,2
0,2,3,2,0,0,0,0,0,1
2,0,2,3,2,0,0,0,0,2
0,1,2,0,0,0,0,0,0,3
0,0,1,2,1,0,0,0,0,1
0,2,1,2,1,2,1,2,1,3
1,3,0,0,0,3,0,0,0,2
0,0,3,1,3,0,0,0,0,2
0,3,0,3,0,0,0,0,0,2
0,2,2,0,2,0,0,0,0,2
0,2,2,0,0,2,0,0,0,2
1,0,2,2,0,2,2,0,0,2
0,2,2,0,2,2,0,0,0,2
0,2,0,0,0,1,0,0,0,1
2,2,0,1,2,0,1,0,0,3
3,1,0,1,0,1,0,1,0,3
2,2,0,0,2,3,2,0,0,3
0,2,0,3,3,0,0,0,0,3
0,3,3,0,3,3,0,0,0,2
2,3,3,2,3,3,0,0,0,1
0,2,3,0,0,0,1,0,0,1
0,1,0,0,3,0,0,0,0,2
0,0,1,3,1,0,1,3,0,1
0,0,1,3,1,0,1,3,1,1
0,2,1,2,1,2,0,0,0,2
0,2,0,0,3,0,0,0,0,1
0,2,0,0,3,1,3,0,0,3
2,3,0,0,0,2,0,0,0,3
1,1,0,3,0,1,0,0,0,2
0,1,1,3,2,0,2,3,0,3
0,0,2,2,3,0,3,2,0,1
3,2,0,0,1,1,1,0,0,1
3,1,3,1,2,0,0,0,0,1
2,0,3,1,3,0,0,0,0,1
0,2,1,3,1,2,0,0,0,1
# R2INT adding patterns (c/2):
1 2,1,0,0,0,0,0,0 1
0 0,2,1,1,0,2,0,0 1
0 2,0,0,1,1,1,0,0 2
2 1,0,1,0,1,0,0,0 1
1 3,1,1,1,3,0,0,0 2
# c/2d
0 2,0,2,0,0,1,0,0 3
0 2,3,2,0,0,1,0,0 3
0 3,0,3,2,0,0,0,0 2
# two-star diagonal
0 2,3,2,1,2,1,2,1 2
1 0,1,1,3,0,3,0,0 2
1 1,0,1,0,3,0,3,0 3
3 0,3,2,0,2,3,0,0 2
3 2,3,0,3,1,0,0,0 2
0 2,0,2,0,0,3,0,0 2
1 0,2,0,0,0,1,0,0 3
2 0,2,0,1,0,2,0,0 2
# p2
1 3,1,3,0,0,0,0,0 3
3 1,3,1,0,0,0,0,0 1
# another extension
1 1,1,1,0,0,0,0,0 1
0 0,1,0,1,2,3,0,0 3
0 1,0,0,1,0,1,0,0 1
0 1,3,2,0,1,0,0,0 3
2 0,3,0,2,0,0,0,0 2
0 1,2,0,0,3,0,0,0 2
0 0,3,3,1,0,1,0,1 1
2 2,0,0,2,0,0,0,0 1
0 0,3,3,1,0,0,0,0 2
0 2,2,0,1,0,0,0,0 1
0 2,2,0,0,1,0,0,0 2
1 2,3,0,0,0,0,0,0 3
0 2,3,3,0,0,0,0,0 3
0 1,2,3,0,0,0,0,0 1
2 0,3,3,1,0,0,0,0 3
1 3,0,0,3,0,2,0,0 2
# control
0 0,2,0,2,0,3,0,0 1
1 0,2,2,1,0,0,0,0 2
# no explosion
0 0,3,1,3,0,3,0,0 1
# new oscillator
3 0,3,0,3,0,2,0,0 3
# new spaceship
0 1,2,0,0,0,3,0,0 2
0 3,1,0,3,0,1,2,0 1
0 3,0,0,2,1,2,0,0 1
0 2,1,1,0,2,0,0,0 3
0 0,3,0,3,0,2,0,2 3
0 3,0,2,1,2,0,0,0 3
0 2,0,3,3,2,2,0,0 2
3 3,0,2,0,3,0,0,0 3
0 2,1,0,2,0,2,0,0 2
0 0,1,1,1,0,2,0,2 3
0 2,0,1,0,2,0,0,0 2
0 3,0,0,3,0,3,0,0 3
# Fix the star
0 3,2,3,0,0,3,0,0 1
2 3,1,3,1,3,1,3,1 1
# Adjust the frequency of the yellow domino
0 1,1,0,1,1,0,0,0 3
3 3,1,1,0,0,3,0,0 1
# c/3
2 0,3,2,3,0,0,0,0 3
3 0,2,1,2,0,0,0,0 1
0 2,1,1,0,0,0,0,0 3
1 0,2,1,2,0,0,0,0 2
3 0,3,2,2,0,0,0,0 2
2 3,0,3,0,3,0,2,0 1
1 2,0,1,0,2,0,0,0 3
2 0,3,1,2,0,0,0,0 2
1 3,0,2,0,2,0,2,0 1
3 0,3,2,3,0,0,0,0 2
#defaults
3,i,j,k,l,m,n,o,p,3
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
@COLORS
0 0 0 0
1 0 255 255
2 0 0 255
3 255 255 0

Rule:NightStar2extended

2025-03-09T22:54:28Z

CARuler: Created page with "@RULE nightStar2extended This has been extended by R2INT to include 4 new patterns. @TABLE n_states:4 neighborhood:Moore symmetries:rotate4reflect var a = {0,1,2,3} 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} var j = i var k = i var l = i var m = i var n = i var o = i var p = i 3,0,0,0,0,0,0,0,0,2 2,0,0,0,0,0,0,0,0,1 1,0,0,0,0,0,0,0,0,3 0,1,0,0,0,0,0,0,0,2 0,2,3,2,0,0,0,0,0,1 2,0,2,3,2,0,0,0,0,2 0,1,2,0,0,0,0,0,0,3 0,0,1,2,1,0,0,..."

@RULE nightStar2extended
This has been extended by R2INT to include 4 new patterns.
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3}
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}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
3,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,3
0,1,0,0,0,0,0,0,0,2
0,2,3,2,0,0,0,0,0,1
2,0,2,3,2,0,0,0,0,2
0,1,2,0,0,0,0,0,0,3
0,0,1,2,1,0,0,0,0,1
0,2,1,2,1,2,1,2,1,3
1,3,0,0,0,3,0,0,0,2
0,0,3,1,3,0,0,0,0,2
0,3,0,3,0,0,0,0,0,2
0,2,2,0,2,0,0,0,0,2
0,2,2,0,0,2,0,0,0,2
1,0,2,2,0,2,2,0,0,2
0,2,2,0,2,2,0,0,0,2
0,2,0,0,0,1,0,0,0,1
2,2,0,1,2,0,1,0,0,3
3,1,0,1,0,1,0,1,0,3
2,2,0,0,2,3,2,0,0,3
0,2,0,3,3,0,0,0,0,3
0,3,3,0,3,3,0,0,0,2
2,3,3,2,3,3,0,0,0,1
0,2,3,0,0,0,1,0,0,1
0,1,0,0,3,0,0,0,0,2
0,0,1,3,1,0,1,3,0,1
0,0,1,3,1,0,1,3,1,1
0,2,1,2,1,2,0,0,0,2
0,2,0,0,3,0,0,0,0,1
0,2,0,0,3,1,3,0,0,3
2,3,0,0,0,2,0,0,0,3
1,1,0,3,0,1,0,0,0,2
0,1,1,3,2,0,2,3,0,3
0,0,2,2,3,0,3,2,0,1
3,2,0,0,1,1,1,0,0,1
3,1,3,1,2,0,0,0,0,1
2,0,3,1,3,0,0,0,0,1
0,2,1,3,1,2,0,0,0,1
# R2INT adding patterns (c/2):
1 2,1,0,0,0,0,0,0 1
0 0,2,1,1,0,2,0,0 1
0 2,0,0,1,1,1,0,0 2
2 1,0,1,0,1,0,0,0 1
1 3,1,1,1,3,0,0,0 2
# c/2d
0 2,0,2,0,0,1,0,0 3
0 2,3,2,0,0,1,0,0 3
0 3,0,3,2,0,0,0,0 2
# two-star diagonal
0 2,3,2,1,2,1,2,1 2
1 0,1,1,3,0,3,0,0 2
1 1,0,1,0,3,0,3,0 3
3 0,3,2,0,2,3,0,0 2
3 2,3,0,3,1,0,0,0 2
0 2,0,2,0,0,3,0,0 2
1 0,2,0,0,0,1,0,0 3
2 0,2,0,1,0,2,0,0 2
# p2
1 3,1,3,0,0,0,0,0 3
3 1,3,1,0,0,0,0,0 1
#defaults
3,i,j,k,l,m,n,o,p,3
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
@COLORS
0 0 0 0
1 0 255 255
2 0 0 255
3 255 255 0

Rule:TimedLikeSeeds

2025-03-05T01:21:38Z

CARuler: Created page with "@RULE TimedLikeSeeds @TABLE n_states:4 neighborhood:Moore symmetries:permute var a = {0,1,2,3} var b = a var c = a var d = a var e = a var f = a var g = a var h = a # var i = {0,1} var j = i var k = i var l = i var m = i var n = i var o = i var p = i # var q = {2,3} var r = q var s = q var t = q var u = q var v = q var w = q var x = q #additions 0,2,3,0,0,0,0,0,0,2 #b3/s2 i,q,r,s,j,k,l,m,n,2 q,r,s,i,j,k,l,m,n,3 #defaults q,a,b,c,d,e,f,g,h,1 1,a,b,c,d,e,f,g,h,0 @COLORS 0..."

@RULE TimedLikeSeeds
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {0,1,2,3}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
#
var i = {0,1}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
#
var q = {2,3}
var r = q
var s = q
var t = q
var u = q
var v = q
var w = q
var x = q
#additions
0,2,3,0,0,0,0,0,0,2
#b3/s2
i,q,r,s,j,k,l,m,n,2
q,r,s,i,j,k,l,m,n,3
#defaults
q,a,b,c,d,e,f,g,h,1
1,a,b,c,d,e,f,g,h,0
@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 255 255 255
@NAMES
0 00
1 01
2 10
3 11

Rule:NightStar

2025-03-05T00:21:47Z

CARuler: Created page with "@RULE nightStar @TABLE n_states:4 neighborhood:Moore symmetries:rotate4reflect var a = {0,1,2,3} 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} var j = i var k = i var l = i var m = i var n = i var o = i var p = i 3,0,0,0,0,0,0,0,0,2 2,0,0,0,0,0,0,0,0,1 1,0,0,0,0,0,0,0,0,3 0,1,0,0,0,0,0,0,0,2 0,2,3,2,0,0,0,0,0,1 2,0,2,3,2,0,0,0,0,2 0,1,2,0,0,0,0,0,0,3 0,0,1,2,1,0,0,0,0,1 0,2,1,2,1,2,1,2,1,3 1,3,0,0,0,3,0,0,0,2 0,0,3,1,3,0,0,0,0,2 0..."

@RULE nightStar
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3}
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}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i

3,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,3
0,1,0,0,0,0,0,0,0,2
0,2,3,2,0,0,0,0,0,1
2,0,2,3,2,0,0,0,0,2
0,1,2,0,0,0,0,0,0,3
0,0,1,2,1,0,0,0,0,1
0,2,1,2,1,2,1,2,1,3
1,3,0,0,0,3,0,0,0,2
0,0,3,1,3,0,0,0,0,2
0,3,0,3,0,0,0,0,0,2
0,2,2,0,2,0,0,0,0,2
0,2,2,0,0,2,0,0,0,2
1,0,2,2,0,2,2,0,0,2
0,2,2,0,2,2,0,0,0,2
0,2,0,0,0,1,0,0,0,1
2,2,0,1,2,0,1,0,0,3
3,1,0,1,0,1,0,1,0,3

2,2,0,0,2,3,2,0,0,3
0,2,0,3,3,0,0,0,0,3
0,3,3,0,3,3,0,0,0,2
2,3,3,2,3,3,0,0,0,1
0,2,3,0,0,0,1,0,0,1
0,1,0,0,3,0,0,0,0,2
0,0,1,3,1,0,1,3,0,1
0,0,1,3,1,0,1,3,1,1
0,0,2,0,0,0,2,0,0,1

#defaults
3,i,j,k,l,m,n,o,p,3
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
@COLORS
0 0 0 0
1 0 255 255
2 0 0 255
3 255 255 0

Rule:NightStar2

2025-03-05T00:20:09Z

CARuler: Created page with "@RULE nightStar2 @TABLE n_states:4 neighborhood:Moore symmetries:rotate4reflect var a = {0,1,2,3} 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} var j = i var k = i var l = i var m = i var n = i var o = i var p = i 3,0,0,0,0,0,0,0,0,2 2,0,0,0,0,0,0,0,0,1 1,0,0,0,0,0,0,0,0,3 0,1,0,0,0,0,0,0,0,2 0,2,3,2,0,0,0,0,0,1 2,0,2,3,2,0,0,0,0,2 0,1,2,0,0,0,0,0,0,3 0,0,1,2,1,0,0,0,0,1 0,2,1,2,1,2,1,2,1,3 1,3,0,0,0,3,0,0,0,2 0,0,3,1,3,0,0,0,0,2..."

@RULE nightStar2
@TABLE
n_states:4
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3}
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}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i

3,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,3
0,1,0,0,0,0,0,0,0,2
0,2,3,2,0,0,0,0,0,1
2,0,2,3,2,0,0,0,0,2
0,1,2,0,0,0,0,0,0,3
0,0,1,2,1,0,0,0,0,1
0,2,1,2,1,2,1,2,1,3
1,3,0,0,0,3,0,0,0,2
0,0,3,1,3,0,0,0,0,2
0,3,0,3,0,0,0,0,0,2
0,2,2,0,2,0,0,0,0,2
0,2,2,0,0,2,0,0,0,2
1,0,2,2,0,2,2,0,0,2
0,2,2,0,2,2,0,0,0,2
0,2,0,0,0,1,0,0,0,1
2,2,0,1,2,0,1,0,0,3
3,1,0,1,0,1,0,1,0,3

2,2,0,0,2,3,2,0,0,3
0,2,0,3,3,0,0,0,0,3
0,3,3,0,3,3,0,0,0,2
2,3,3,2,3,3,0,0,0,1
0,2,3,0,0,0,1,0,0,1
0,1,0,0,3,0,0,0,0,2
0,0,1,3,1,0,1,3,0,1
0,0,1,3,1,0,1,3,1,1

0,2,1,2,1,2,0,0,0,2
0,2,0,0,3,0,0,0,0,1
0,2,0,0,3,1,3,0,0,3
2,3,0,0,0,2,0,0,0,3
1,1,0,3,0,1,0,0,0,2
0,1,1,3,2,0,2,3,0,3
0,0,2,2,3,0,3,2,0,1
3,2,0,0,1,1,1,0,0,1
3,1,3,1,2,0,0,0,0,1
2,0,3,1,3,0,0,0,0,1
0,2,1,3,1,2,0,0,0,1

#defaults
3,i,j,k,l,m,n,o,p,3
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
@COLORS
0 0 0 0
1 0 255 255
2 0 0 255
3 255 255 0

Rule:AKnightRule

2025-02-22T02:10:22Z

CARuler: Created page with "@RULE aKnightRule @TABLE n_states:17 neighborhood:Moore symmetries:none var A={0,1} var B=A var C=A var D=A var E=A var X={0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16} 1,A,0,B,0,C,0,D,0,0 E,A,1,B,0,C,0,D,0,16 E,A,0,B,1,C,0,D,0,2 E,A,1,B,1,C,0,D,0,3 E,A,0,B,0,C,1,D,0,4 E,A,1,B,0,C,1,D,0,5 E,A,0,B,1,C,1,D,0,6 E,A,1,B,1,C,1,D,0,7 E,A,0,B,0,C,0,D,1,8 E,A,1,B,0,C,0,D,1,9 E,A,0,B,1,C,0,D,1,10 E,A,1,B,1,C,0,D,1,11 E,A,0,B,0,C,1,D,1,12 E,A,1,B,0,C,1,D,1,13 E,A,0,B,1,C,1,D,1,14 E,A,1..."

@RULE aKnightRule
@TABLE
n_states:17
neighborhood:Moore
symmetries:none
var A={0,1}
var B=A
var C=A
var D=A
var E=A
var X={0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}
1,A,0,B,0,C,0,D,0,0
E,A,1,B,0,C,0,D,0,16
E,A,0,B,1,C,0,D,0,2
E,A,1,B,1,C,0,D,0,3
E,A,0,B,0,C,1,D,0,4
E,A,1,B,0,C,1,D,0,5
E,A,0,B,1,C,1,D,0,6
E,A,1,B,1,C,1,D,0,7
E,A,0,B,0,C,0,D,1,8
E,A,1,B,0,C,0,D,1,9
E,A,0,B,1,C,0,D,1,10
E,A,1,B,1,C,0,D,1,11
E,A,0,B,0,C,1,D,1,12
E,A,1,B,0,C,1,D,1,13
E,A,0,B,1,C,1,D,1,14
E,A,1,B,1,C,1,D,1,15

var _0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15={0,8,4,12,2,10,6,14,16,9,5,13,3,11,7,15}
var _0_4_2_6={0,4,2,6}
var _4_12_6_14_5_13_7_15={4,12,6,14,5,13,7,15}
var _16_9_5_13={16,9,5,13}
var _8_12_10_14_9_13_11_15={8,12,10,14,9,13,11,15}
var _0_8_16_9={0,8,16,9}
var _16_9_5_13_3_11_7_15={16,9,5,13,3,11,7,15}
var _0_2_16_3={0,2,16,3}
var _2_10_6_14_3_11_7_15={2,10,6,14,3,11,7,15}
var _0_8_2_10_16_9_3_11={0,8,2,10,16,9,3,11}
var _0_4_2_6_16_5_3_7={0,4,2,6,16,5,3,7}
var _0_8_4_12_2_10_6_14={0,8,4,12,2,10,6,14}
var _8_10_9_11={8,10,9,11}
var _0_8_4_12_16_9_5_13={0,8,4,12,16,9,5,13}
var _16_5_3_7={16,5,3,7}
var _0_8_4_12={0,8,4,12}
var _2_10_3_11={2,10,3,11}
var _8_12_10_14={8,12,10,14}
var _4_6_5_7={4,6,5,7}
var _2_10_6_14={2,10,6,14}
var _4_12_5_13={4,12,5,13}
var _6_14_7_15={6,14,7,15}
var _12_14_13_15={12,14,13,15}
var _3_11_7_15={3,11,7,15}
var _9_13_11_15={9,13,11,15}
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_12_14_13_15,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_4_12_5_13,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_16_5_3_7,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_8_12_10_14,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_8_10_9_11,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_2_10_3_11,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_16_9_5_13,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_4_12_5_13,_0_8_4_12_2_10_6_14,_4_6_5_7,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_6_14_7_15,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_16_5_3_7,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_2_10_3_11,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_8_12_10_14,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_4_12_5_13,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_16_5_3_7,_0_8_2_10_16_9_3_11,_16_9_5_13,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_16_9_5_13,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_8_10_9_11,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_2_10_6_14,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_4_6_5_7,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_8_10_9_11,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_9_13_11_15,_0_8_2_10_16_9_3_11,_0_8_4_12,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_2_10_6_14,_0_4_2_6_16_5_3_7,_2_10_3_11,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_2_10_6_14,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_8_12_10_14,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_0_2_16_3,_2_10_6_14_3_11_7_15,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_0_8_2_10_16_9_3_11,_3_11_7_15,_0_4_2_6_16_5_3_7,_0_8_16_9,_0_8_4_12_2_10_6_14,_0_2_16_3,_0_8_4_12_16_9_5_13,1
_0_8_4_12_2_10_6_14_16_9_5_13_3_11_7_15,_0_4_2_6,_4_12_6_14_5_13_7_15,_0_8_4_12,_8_12_10_14_9_13_11_15,_0_8_16_9,_16_9_5_13_3_11_7_15,_4_6_5_7,_2_10_6_14_3_11_7_15,1

var A=X
var B=A
var C=A
var D=A
var E=A
var F=A
var G=A
var H=A
X,A,B,C,D,E,F,G,H,0
@COLORS
1 255 255 255
2 0 0 255
3 0 128 255
4 0 0 255
5 0 128 255
6 0 128 255
7 0 255 255
8 0 0 255
9 0 128 255
10 0 128 255
11 0 255 255
12 0 128 255
13 0 255 255
14 0 255 255
15 0 255 128
16 0 0 255

Rule:KnightwiseGeometry

2025-02-13T01:03:40Z

CARuler:

@RULE KnightwiseGeometry
@TABLE
n_states:20
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
#
var i = {0,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
#
var q = {7,8,9,10,11,12,13,14,15,17,18,19}
var r = q
var s = q
var t = q
var u = q
var v = q
var w = q
var x = q
##
var y = {1,2}
var z = y

2,1,1,3,q,0,0,0,0,1
5,y,1,z,0,17,18,19,0,17

0,5,6,0,0,0,0,0,0,4
0,6,5,0,0,0,0,0,0,2
0,5,16,0,0,0,0,0,0,4
0,16,5,0,0,0,0,0,0,2
0,6,16,0,0,0,0,0,0,2
0,16,6,0,0,0,0,0,0,4
0,4,i,0,0,0,0,0,0,1
0,4,i,2,0,0,0,0,0,1
###
5,7,7,7,0,1,1,2,0,5
7,7,7,5,1,0,0,0,0,6
#
8,8,8,5,1,0,0,0,0,5
5,8,8,8,0,1,1,2,0,6
#
9,9,9,5,1,0,0,0,0,5
9,9,5,9,0,0,0,0,0,6
#
10,10,5,10,0,0,0,0,0,5
10,10,10,5,1,0,0,0,0,6
#
11,11,5,11,0,0,0,0,0,6
11,11,11,5,2,0,0,0,0,5
#
12,12,12,5,2,0,0,0,0,5
5,12,12,12,0,1,1,2,0,6
#
13,13,13,5,2,0,0,0,0,6
5,13,13,13,0,1,1,2,0,5
##
14,14,14,5,1,0,0,0,0,5
14,14,5,14,0,0,0,0,0,16
14,14,14,5,2,0,0,0,0,6
#
15,15,5,15,0,0,0,0,0,5
15,15,15,5,2,0,0,0,0,16
5,15,15,15,0,1,1,2,0,6
##
5,17,17,19,0,1,1,2,0,5
19,17,17,5,1,0,0,0,0,6
#
5,17,17,19,0,2,1,1,0,5
19,17,17,5,2,0,0,0,0,6
#
18,19,17,5,y,0,0,0,0,5
19,18,5,17,0,0,0,0,0,6
#
18,19,5,17,0,0,0,0,0,5
19,18,17,5,y,0,0,0,0,6
#
18,17,17,5,y,0,0,0,0,5
5,17,17,18,0,y,1,z,0,6

#default-like
5,1,1,2,a,q,c,d,e,q
5,17,a,b,c,d,e,f,g,18
6,17,a,b,c,d,e,f,g,19
2,q,a,b,c,d,e,f,g,0
2,a,q,b,c,d,e,f,g,0
0,3,2,i,j,k,l,m,n,4
0,2,3,i,j,k,l,m,n,2
0,i,4,j,k,l,m,n,o,3
0,4,2,i,j,k,l,m,n,2
2,4,a,b,c,d,e,f,g,0
0,4,1,i,j,k,l,m,n,1
5,q,a,b,c,d,e,f,g,q
6,q,a,b,c,d,e,f,g,q
16,a,q,b,c,d,e,f,g,q
q,r,s,t,0,3,2,0,0,5
1,a,5,b,c,d,e,f,g,0
1,5,a,b,c,d,e,f,g,0

#defaults
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,1
3,a,b,c,d,e,f,g,h,1
4,a,b,c,d,e,f,g,h,1
@COLORS
0 48 48 48
1 255 255 255
2 128 128 128
3 64 42 20
4 128 84 40
5 200 200 128
6 192 192 10
7 255 0 0
8 0 255 0
9 0 0 255
10 255 128 128
11 128 255 128
12 128 128 255
13 128 0 0
14 0 128 0
15 0 0 128
16 148 0 255
17 255 255 0
18 255 0 255
19 0 255 255

@NAMES
0 default
1 tail
2 assistant
3 knight 1
4 knight 2
5 through
6 direction
7 R/2
8 ROS
9 R/4
10 RDW
11 ROW
12 3R/4
13 RDS
14 S/4
15 3S/4
16 extra
17 merge
18 ambient direction 1
19 ambient direction 2

Rule:KnightwiseGeometry

2025-02-13T01:03:20Z

CARuler:

@RULE knightwiseGeometry
@TABLE
n_states:20
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
#
var i = {0,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
#
var q = {7,8,9,10,11,12,13,14,15,17,18,19}
var r = q
var s = q
var t = q
var u = q
var v = q
var w = q
var x = q
##
var y = {1,2}
var z = y

2,1,1,3,q,0,0,0,0,1
5,y,1,z,0,17,18,19,0,17

0,5,6,0,0,0,0,0,0,4
0,6,5,0,0,0,0,0,0,2
0,5,16,0,0,0,0,0,0,4
0,16,5,0,0,0,0,0,0,2
0,6,16,0,0,0,0,0,0,2
0,16,6,0,0,0,0,0,0,4
0,4,i,0,0,0,0,0,0,1
0,4,i,2,0,0,0,0,0,1
###
5,7,7,7,0,1,1,2,0,5
7,7,7,5,1,0,0,0,0,6
#
8,8,8,5,1,0,0,0,0,5
5,8,8,8,0,1,1,2,0,6
#
9,9,9,5,1,0,0,0,0,5
9,9,5,9,0,0,0,0,0,6
#
10,10,5,10,0,0,0,0,0,5
10,10,10,5,1,0,0,0,0,6
#
11,11,5,11,0,0,0,0,0,6
11,11,11,5,2,0,0,0,0,5
#
12,12,12,5,2,0,0,0,0,5
5,12,12,12,0,1,1,2,0,6
#
13,13,13,5,2,0,0,0,0,6
5,13,13,13,0,1,1,2,0,5
##
14,14,14,5,1,0,0,0,0,5
14,14,5,14,0,0,0,0,0,16
14,14,14,5,2,0,0,0,0,6
#
15,15,5,15,0,0,0,0,0,5
15,15,15,5,2,0,0,0,0,16
5,15,15,15,0,1,1,2,0,6
##
5,17,17,19,0,1,1,2,0,5
19,17,17,5,1,0,0,0,0,6
#
5,17,17,19,0,2,1,1,0,5
19,17,17,5,2,0,0,0,0,6
#
18,19,17,5,y,0,0,0,0,5
19,18,5,17,0,0,0,0,0,6
#
18,19,5,17,0,0,0,0,0,5
19,18,17,5,y,0,0,0,0,6
#
18,17,17,5,y,0,0,0,0,5
5,17,17,18,0,y,1,z,0,6

#default-like
5,1,1,2,a,q,c,d,e,q
5,17,a,b,c,d,e,f,g,18
6,17,a,b,c,d,e,f,g,19
2,q,a,b,c,d,e,f,g,0
2,a,q,b,c,d,e,f,g,0
0,3,2,i,j,k,l,m,n,4
0,2,3,i,j,k,l,m,n,2
0,i,4,j,k,l,m,n,o,3
0,4,2,i,j,k,l,m,n,2
2,4,a,b,c,d,e,f,g,0
0,4,1,i,j,k,l,m,n,1
5,q,a,b,c,d,e,f,g,q
6,q,a,b,c,d,e,f,g,q
16,a,q,b,c,d,e,f,g,q
q,r,s,t,0,3,2,0,0,5
1,a,5,b,c,d,e,f,g,0
1,5,a,b,c,d,e,f,g,0

#defaults
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,1
3,a,b,c,d,e,f,g,h,1
4,a,b,c,d,e,f,g,h,1
@COLORS
0 48 48 48
1 255 255 255
2 128 128 128
3 64 42 20
4 128 84 40
5 200 200 128
6 192 192 10
7 255 0 0
8 0 255 0
9 0 0 255
10 255 128 128
11 128 255 128
12 128 128 255
13 128 0 0
14 0 128 0
15 0 0 128
16 148 0 255
17 255 255 0
18 255 0 255
19 0 255 255

@NAMES
0 default
1 tail
2 assistant
3 knight 1
4 knight 2
5 through
6 direction
7 R/2
8 ROS
9 R/4
10 RDW
11 ROW
12 3R/4
13 RDS
14 S/4
15 3S/4
16 extra
17 merge
18 ambient direction 1
19 ambient direction 2

Rule:KnightwiseGeometry

2025-02-13T01:01:15Z

CARuler:

Rule:KnightwiseGeometry

2025-02-13T01:00:20Z

CARuler: Created page with "@RULE KnightwiseGeometry @TABLE n_states:20 neighborhood:Moore symmetries:rotate4reflect var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19} var b = a var c = a var d = a var e = a var f = a var g = a var h = a # var i = {0,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19} var j = i var k = i var l = i var m = i var n = i var o = i var p = i # var q = {7,8,9,10,11,12,13,14,15,17,18,19} var r = q var s = q var t = q var u = q var v = q var w = q var x = q ## var y = {1,2}..."

@RULE KnightwiseGeometry
@TABLE
n_states:20
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
#
var i = {0,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
#
var q = {7,8,9,10,11,12,13,14,15,17,18,19}
var r = q
var s = q
var t = q
var u = q
var v = q
var w = q
var x = q
##
var y = {1,2}
var z = y

2,1,1,3,q,0,0,0,0,1
5,y,1,z,0,17,18,19,0,17

0,5,6,0,0,0,0,0,0,4
0,6,5,0,0,0,0,0,0,2
0,5,16,0,0,0,0,0,0,4
0,16,5,0,0,0,0,0,0,2
0,6,16,0,0,0,0,0,0,2
0,16,6,0,0,0,0,0,0,4
0,4,i,0,0,0,0,0,0,1
0,4,i,2,0,0,0,0,0,1
###
5,7,7,7,0,1,1,2,0,5
7,7,7,5,1,0,0,0,0,6
#
8,8,8,5,1,0,0,0,0,5
5,8,8,8,0,1,1,2,0,6
#
9,9,9,5,1,0,0,0,0,5
9,9,5,9,0,0,0,0,0,6
#
10,10,5,10,0,0,0,0,0,5
10,10,10,5,1,0,0,0,0,6
#
11,11,5,11,0,0,0,0,0,6
11,11,11,5,2,0,0,0,0,5
#
12,12,12,5,2,0,0,0,0,5
5,12,12,12,0,1,1,2,0,6
#
13,13,13,5,2,0,0,0,0,6
5,13,13,13,0,1,1,2,0,5
##
14,14,14,5,1,0,0,0,0,5
14,14,5,14,0,0,0,0,0,16
14,14,14,5,2,0,0,0,0,6
#
15,15,5,15,0,0,0,0,0,5
15,15,15,5,2,0,0,0,0,16
5,15,15,15,0,1,1,2,0,6
##
5,17,17,19,0,1,1,2,0,5
19,17,17,5,1,0,0,0,0,6
#
5,17,17,19,0,2,1,1,0,5
19,17,17,5,2,0,0,0,0,6
#
18,19,17,5,y,0,0,0,0,5
19,18,5,17,0,0,0,0,0,6
#
18,19,5,17,0,0,0,0,0,5
19,18,17,5,y,0,0,0,0,6
#
18,17,17,5,y,0,0,0,0,5
5,17,17,18,0,y,1,z,0,6

#default-like
5,1,1,2,a,q,c,d,e,q
5,17,a,b,c,d,e,f,g,18
6,17,a,b,c,d,e,f,g,19
2,q,a,b,c,d,e,f,g,0
2,a,q,b,c,d,e,f,g,0
0,3,2,i,j,k,l,m,n,4
0,2,3,i,j,k,l,m,n,2
0,i,4,j,k,l,m,n,o,3
0,4,2,i,j,k,l,m,n,2
2,4,a,b,c,d,e,f,g,0
0,4,1,i,j,k,l,m,n,1
5,q,a,b,c,d,e,f,g,q
6,q,a,b,c,d,e,f,g,q
16,a,q,b,c,d,e,f,g,q
q,r,s,t,0,3,2,0,0,5
1,a,5,b,c,d,e,f,g,0
1,5,a,b,c,d,e,f,g,0

#defaults
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,1
3,a,b,c,d,e,f,g,h,1
4,a,b,c,d,e,f,g,h,1
@NAMES
0 default
1 tail
2 assistant
3 knight 1
4 knight 2
5 through
6 direction
7 R/2
8 ROS
9 R/4
10 RDW
11 ROW
12 3R/4
13 RDS
14 S/4
15 3S/4
16 extra
17 merge
18 ambient direction 1
19 ambient direction 2
@COLORS
0 48 48 48
1 255 255 255
2 128 128 128
3 64 42 20
4 128 84 40
5 200 200 128
6 192 192 10
7 255 0 0
8 0 255 0
9 0 0 255
10 255 128 128
11 128 255 128
12 128 128 255
13 128 0 0
14 0 128 0
15 0 0 128
16 148 0 255
17 255 255 0
18 255 0 255
19 0 255 255

Rule:HighLifeSearcher

2025-02-10T19:13:28Z

CARuler: Created page with "@RULE HighLifeSearcher @TABLE n_states:30 neighborhood:Moore symmetries:permute #all 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 #killer var i = {5,6} #egg var j = {4,9} #on births var k = {1,3,6,8,19,21} var l = k var m = k var n = k var o = k var p = k var q = k var r = k #off births var s = {0,2,5,7,18,20} var t = s var u = s var v = s var w = s var x =..."

@RULE HighLifeSearcher
@TABLE
n_states:30
neighborhood:Moore
symmetries:permute
#all
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
#killer
var i = {5,6}
#egg
var j = {4,9}
#on births
var k = {1,3,6,8,19,21}
var l = k
var m = k
var n = k
var o = k
var p = k
var q = k
var r = k
#off births
var s = {0,2,5,7,18,20}
var t = s
var u = s
var v = s
var w = s
var x = s
var y = s
var z = s
#on survival
var A = {1,7,8,9,28,29}
var B = A
var C = A
var D = A
var E = A
var F = A
var G = A
var H = A
#off survival
var I = {0,2,3,4,26,27}
var J = I
var K = I
var L = I
var M = I
var N = I
var O = I
var P = I
#misc on births
var Q = {1,3,6,8,11,13,15,17,19,21,23,25,27,29}
var R = Q
var S = Q
var T = Q
var U = Q
var V = Q
var W = Q
var X = Q
#misc off births
var Y = {0,2,5,7,10,12,14,16,18,20,22,24,26,28}
var Z = Y
var aa = Y
var ab = Y
var ac = Y
var ad = Y
var ae = Y
var af = Y
#misc on survival
var ag = {1,7,8,9,12,13,16,17,20,21,24,25,28,29}
var ah = ag
var ai = ag
var aj = ag
var ak = ag
var al = ag
var am = ag
var an = ag
#misc off survival
var ao = {0,2,3,4,10,11,14,15,18,19,22,23,26,27}
var ap = ao
var aq = ao
var ar = ao
var as = ao
var at = ao
var au = ao
var av = ao
#Override off births off
var aw = {10,12,14,16,22,24,26,28}
#Override off births on
var ax = {11,13,15,17,23,25,27,29}
#Override on births off
var ay = {10,12,14,16,26,28}
#Override on births on
var az = {11,13,15,17,27,29}
#Override off survival off
var aA = {14,15,18,19,22,23}
#Override off survival on
var aB = {16,17,20,21,24,25}
#Override on survival off
var aC = {10,11,14,15,18,19,22,23}
#Override on survival on
var aD = {12,13,16,17,20,21,24,25}
#killer
1,i,a,b,c,d,e,f,g,0
#egg
0,j,a,b,c,d,e,f,g,1
#Override off births off
0,aw,a,b,Y,Z,aa,ab,ac,1
0,aw,Q,R,T,S,a,Y,Z,1
0,aw,Q,R,S,T,U,V,a,1
#Override off births on
0,ax,a,Y,Z,aa,ab,ac,ad,1
0,ax,Q,R,S,a,Y,Z,aa,1
0,ax,Q,R,S,T,U,V,a,1
#Override on births off
0,ay,Q,R,S,Y,Z,aa,ab,0
0,ay,Q,R,S,T,U,V,Y,0
#Override on births on
0,az,Q,R,Y,Z,aa,ab,ac,0
0,az,Q,R,S,T,U,Y,Z,0
#Override off survival off
1,aA,a,ao,ap,aq,ar,as,at,1
1,aA,ag,ah,ai,aj,a,b,c,1
#Override off survival on
1,aB,ao,ap,aq,ar,as,at,au,1
1,aB,ag,ah,ai,a,b,c,d,1
#Override on survival off
1,aC,ag,ah,a,ao,ap,aq,ar,0
#Override on survival on
1,aD,ag,a,ao,ap,aq,ar,as,0

#default-like
0,Q,R,S,Y,Z,aa,ab,ac,1
0,Q,R,S,T,U,V,Y,Z,1
1,ag,ah,ai,ao,ap,aq,ar,as,1
1,ag,ah,ao,ap,aq,ar,as,at,1
#default
1,a,b,c,d,e,f,g,h,0
@NAMES
0 dead
1 alive
2 00
3 10
4 (1)0
5 0(0)
6 1(0)
7 01
8 11
9 (1)1
10 {{10}{00}00}
11 {{10}{00}10}
12 {{10}{00}01}
13 {{10}{00}11}
14 {{10}{10}00}
15 {{10}{10}10}
16 {{10}{10}01}
17 {{10}{10}11}
18 {{01}{10}00}
19 {{01}{10}10}
20 {{01}{10}01}
21 {{01}{10}11}
22 {{11}{10}00}
23 {{11}{10}10}
24 {{11}{10}01}
25 {{11}{10}11}
26 {{10}{01}00}
27 {{10}{01}10}
28 {{10}{01}01}
29 {{10}{01}11}
@COLORS
0 48 48 48
1 0 255 0
2 128 128 128
3 0 0 255
4 128 128 0
5 128 0 0
6 255 0 0
7 0 0 128
8 255 255 255
9 255 255 0
10 64 42 20
11 255 0 255
12 0 255 255
13 148 0 255
14 128 84 80
15 255 128 255
16 128 255 255
17 202 128 255
18 32 21 10
19 128 0 128
20 0 128 128
21 74 0 128
22 255 128 0
23 128 255 0
24 0 255 128
25 0 128 255
26 128 0 255
27 255 0 128
28 0 128 0
29 128 255 128

Rule:Stopflower

2025-02-09T03:46:47Z

CARuler:

@RULE stopflower
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
0,0,2,2,2,0,0,0,0,2
0,1,2,2,2,0,2,2,2,0
0,2,2,1,2,2,a,0,a1,1
2,1,2,2,2,1,0,0,0,1
a,2,1,0,0,0,a1,a2,a3,2
2,1,a1,a2,a3,a4,a5,a6,a7,2
2,a,1,a3,a4,a5,a6,a7,a8,2
1,0,2,2,2,0,2,2,2,2
1,2,2,2,2,2,a,0,0,1
1,2,2,2,2,2,2,2,2,1
1,0,2,2,2,2,2,2,2,2
0,1,0,0,0,0,0,0,0,2
0,0,1,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,1
0,0,2,0,0,2,2,0,0,1
0,2,0,2,0,0,2,0,0,1
1,2,2,0,2,2,a,0,a,1
0,1,2,2,2,a,2,2,2,2
0,2,1,0,1,2,0,0,0,2
0,1,2,2,a,0,0,0,a1,1
1,1,2,2,2,1,2,2,2,1
a,2,2,0,1,2,0,0,0,1
1,2,0,2,0,2,0,2,0,1
0,2,2,1,2,0,2,0,0,1
0,2,1,0,1,2,1,0,0,1
a,a1,a2,a3,a4,a5,a6,a7,a8,0
@COLORS
1 255 255 0
2 255 0 255
@NAMES
1 Core
2 Steath

Rule:Stopflower

2025-02-09T03:45:30Z

CARuler: Created page with "RULE stopflower @TABLE n_states:3 neighborhood:Moore symmetries:rotate4reflect var a={0,1,2} var a1=a var a2=a var a3=a var a4=a var a5=a var a6=a var a7=a var a8=a 0,0,2,2,2,0,0,0,0,2 0,1,2,2,2,0,2,2,2,0 0,2,2,1,2,2,a,0,a1,1 2,1,2,2,2,1,0,0,0,1 a,2,1,0,0,0,a1,a2,a3,2 2,1,a1,a2,a3,a4,a5,a6,a7,2 2,a,1,a3,a4,a5,a6,a7,a8,2 1,0,2,2,2,0,2,2,2,2 1,2,2,2,2,2,a,0,0,1 1,2,2,2,2,2,2,2,2,1 1,0,2,2,2,2,2,2,2,2 0,1,0,0,0,0,0,0,0,2 0,0,1,0,0,0,0,0,0,2 1,0,0,0,0,0,0,0,0,1 0,0,2,0,0,2,2..."

RULE stopflower
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
0,0,2,2,2,0,0,0,0,2
0,1,2,2,2,0,2,2,2,0
0,2,2,1,2,2,a,0,a1,1
2,1,2,2,2,1,0,0,0,1
a,2,1,0,0,0,a1,a2,a3,2
2,1,a1,a2,a3,a4,a5,a6,a7,2
2,a,1,a3,a4,a5,a6,a7,a8,2
1,0,2,2,2,0,2,2,2,2
1,2,2,2,2,2,a,0,0,1
1,2,2,2,2,2,2,2,2,1
1,0,2,2,2,2,2,2,2,2
0,1,0,0,0,0,0,0,0,2
0,0,1,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,1
0,0,2,0,0,2,2,0,0,1
0,2,0,2,0,0,2,0,0,1
1,2,2,0,2,2,a,0,a,1
0,1,2,2,2,a,2,2,2,2
0,2,1,0,1,2,0,0,0,2
0,1,2,2,a,0,0,0,a1,1
1,1,2,2,2,1,2,2,2,1
a,2,2,0,1,2,0,0,0,1
1,2,0,2,0,2,0,2,0,1
0,2,2,1,2,0,2,0,0,1
0,2,1,0,1,2,1,0,0,1
a,a1,a2,a3,a4,a5,a6,a7,a8,0
@COLORS
1 255 255 0
2 255 0 255
@NAMES
1 Core
2 Steath

Rule:HighLifeHunter

2025-02-09T01:13:45Z

CARuler: Created page with "@RULE HighLifeHunter @TABLE n_states:120 neighborhood:Moore symmetries:permute #all states var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119} var..."

@RULE HighLifeHunter
@TABLE
n_states:120
neighborhood:Moore
symmetries:permute
#all states
var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
#states that are on
var i = {1,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,115,117,119}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
#killer states
var q = {5,6,15,17,27,29,41,43,50,52,54,56,57,58,60,62,64,66,68,70,71,72,74,76,85,87,99,101,113,115}
#egg states
var r = {4,9,13,21,25,35,36,38,40,42,44,46,48,49,55,63,69,77,83,91,97,105,106,108,110,111,112,114,116,118}
#on births
var s = {1,3,6,8,11,17,22,24,26,28,29,30,32,33,34,39,43,47,53,57,61,64,66,67,68,70,72,74,75,76,81,87,89,92,94,95,96,98,100,101,102,104,109,115,119}
var t = s
var u = s
var v = s
var w = s
var x = s
var y = s
var z = s
#on survival
var A = {1,7,8,9,19,21,31,33,35,45,47,49,59,61,63,73,75,77,78,80,82,84,86,88,89,90,91,92,94,96,98,100,101,102,103,104,105,106,108,110,112,114,116,117,118,119}
var B = A
var C = A
var D = A
var E = A
var F = A
var G = A
var H = A
#off births
var I = {0,2,5,7,10,12,14,15,16,18,19,20,23,27,31,37,41,45,50,51,52,54,56,58,59,60,62,65,71,73,78,79,80,82,84,85,86,88,90,93,99,103,107,113,117}
var J = I
var K = I
var L = I
var M = I
var N = I
var O = I
var P = I
#off survival
var Q = {0,2,3,4,10,11,12,13,14,16,18,20,22,23,24,25,26,28,30,32,34,36,37,38,39,40,42,44,46,48,51,53,55,65,67,79,81,83,93,95,97,107,109,111}
var R = Q
var S = Q
var T = Q
var U = Q
var V = Q
var W = Q
var X = Q

#override
#killer
1,a,b,c,d,e,f,g,q,0
11,a,b,c,d,e,f,g,q,10
13,a,b,c,d,e,f,g,q,12
15,a,b,c,d,e,f,g,q,14
17,a,b,c,d,e,f,g,q,16
19,a,b,c,d,e,f,g,q,18
21,a,b,c,d,e,f,g,q,20
23,a,b,c,d,e,f,g,q,22
25,a,b,c,d,e,f,g,q,24
27,a,b,c,d,e,f,g,q,26
29,a,b,c,d,e,f,g,q,28
31,a,b,c,d,e,f,g,q,30
33,a,b,c,d,e,f,g,q,32
35,a,b,c,d,e,f,g,q,34
37,a,b,c,d,e,f,g,q,36
39,a,b,c,d,e,f,g,q,38
41,a,b,c,d,e,f,g,q,40
43,a,b,c,d,e,f,g,q,42
45,a,b,c,d,e,f,g,q,44
47,a,b,c,d,e,f,g,q,46
49,a,b,c,d,e,f,g,q,48
51,a,b,c,d,e,f,g,q,50
53,a,b,c,d,e,f,g,q,52
55,a,b,c,d,e,f,g,q,54
57,a,b,c,d,e,f,g,q,56
59,a,b,c,d,e,f,g,q,58
61,a,b,c,d,e,f,g,q,60
63,a,b,c,d,e,f,g,q,62
65,a,b,c,d,e,f,g,q,64
67,a,b,c,d,e,f,g,q,66
69,a,b,c,d,e,f,g,q,68
71,a,b,c,d,e,f,g,q,70
73,a,b,c,d,e,f,g,q,72
75,a,b,c,d,e,f,g,q,74
77,a,b,c,d,e,f,g,q,76
79,a,b,c,d,e,f,g,q,78
81,a,b,c,d,e,f,g,q,80
83,a,b,c,d,e,f,g,q,82
85,a,b,c,d,e,f,g,q,84
87,a,b,c,d,e,f,g,q,86
89,a,b,c,d,e,f,g,q,88
91,a,b,c,d,e,f,g,q,90
93,a,b,c,d,e,f,g,q,92
95,a,b,c,d,e,f,g,q,94
97,a,b,c,d,e,f,g,q,96
99,a,b,c,d,e,f,g,q,98
101,a,b,c,d,e,f,g,q,100
103,a,b,c,d,e,f,g,q,102
105,a,b,c,d,e,f,g,q,104
107,a,b,c,d,e,f,g,q,106
109,a,b,c,d,e,f,g,q,108
111,a,b,c,d,e,f,g,q,110
113,a,b,c,d,e,f,g,q,112
115,a,b,c,d,e,f,g,q,114
117,a,b,c,d,e,f,g,q,116
119,a,b,c,d,e,f,g,q,118
#egg
0,r,a,b,c,d,e,f,g,1
10,r,a,b,c,d,e,f,g,11
12,r,a,b,c,d,e,f,g,13
14,r,a,b,c,d,e,f,g,15
16,r,a,b,c,d,e,f,g,17
18,r,a,b,c,d,e,f,g,19
20,r,a,b,c,d,e,f,g,21
22,r,a,b,c,d,e,f,g,23
24,r,a,b,c,d,e,f,g,25
26,r,a,b,c,d,e,f,g,27
28,r,a,b,c,d,e,f,g,29
30,r,a,b,c,d,e,f,g,31
32,r,a,b,c,d,e,f,g,33
34,r,a,b,c,d,e,f,g,35
36,r,a,b,c,d,e,f,g,37
38,r,a,b,c,d,e,f,g,39
40,r,a,b,c,d,e,f,g,41
42,r,a,b,c,d,e,f,g,43
44,r,a,b,c,d,e,f,g,45
46,r,a,b,c,d,e,f,g,47
48,r,a,b,c,d,e,f,g,49
50,r,a,b,c,d,e,f,g,51
52,r,a,b,c,d,e,f,g,53
54,r,a,b,c,d,e,f,g,55
56,r,a,b,c,d,e,f,g,57
58,r,a,b,c,d,e,f,g,59
60,r,a,b,c,d,e,f,g,61
62,r,a,b,c,d,e,f,g,63
64,r,a,b,c,d,e,f,g,65
66,r,a,b,c,d,e,f,g,67
68,r,a,b,c,d,e,f,g,69
70,r,a,b,c,d,e,f,g,71
72,r,a,b,c,d,e,f,g,73
74,r,a,b,c,d,e,f,g,75
76,r,a,b,c,d,e,f,g,77
78,r,a,b,c,d,e,f,g,79
80,r,a,b,c,d,e,f,g,81
82,r,a,b,c,d,e,f,g,83
84,r,a,b,c,d,e,f,g,85
86,r,a,b,c,d,e,f,g,87
88,r,a,b,c,d,e,f,g,89
90,r,a,b,c,d,e,f,g,91
92,r,a,b,c,d,e,f,g,93
94,r,a,b,c,d,e,f,g,95
96,r,a,b,c,d,e,f,g,97
98,r,a,b,c,d,e,f,g,99
100,r,a,b,c,d,e,f,g,101
102,r,a,b,c,d,e,f,g,103
104,r,a,b,c,d,e,f,g,105
106,r,a,b,c,d,e,f,g,107
108,r,a,b,c,d,e,f,g,109
110,r,a,b,c,d,e,f,g,111
112,r,a,b,c,d,e,f,g,113
114,r,a,b,c,d,e,f,g,115
116,r,a,b,c,d,e,f,g,117
118,r,a,b,c,d,e,f,g,119

#births
0,s,t,u,I,J,K,L,M,1
0,s,t,u,v,w,x,I,J,1
10,s,t,u,I,J,K,L,M,11
10,s,t,u,v,w,x,I,J,11
12,s,t,u,I,J,K,L,M,13
12,s,t,u,v,w,x,I,J,13
14,s,t,u,I,J,K,L,M,15
14,s,t,u,v,w,x,I,J,15
16,s,t,u,I,J,K,L,M,17
16,s,t,u,v,w,x,I,J,17
18,s,t,u,I,J,K,L,M,19
18,s,t,u,v,w,x,I,J,19
20,s,t,u,I,J,K,L,M,21
20,s,t,u,v,w,x,I,J,21
22,s,t,u,I,J,K,L,M,23
22,s,t,u,v,w,x,I,J,23
24,s,t,u,I,J,K,L,M,25
24,s,t,u,v,w,x,I,J,25
26,s,t,u,I,J,K,L,M,27
26,s,t,u,v,w,x,I,J,27
28,s,t,u,I,J,K,L,M,29
28,s,t,u,v,w,x,I,J,29
30,s,t,u,I,J,K,L,M,31
30,s,t,u,v,w,x,I,J,31
32,s,t,u,I,J,K,L,M,33
32,s,t,u,v,w,x,I,J,33
34,s,t,u,I,J,K,L,M,35
34,s,t,u,v,w,x,I,J,35
36,s,t,u,I,J,K,L,M,37
36,s,t,u,v,w,x,I,J,37
38,s,t,u,I,J,K,L,M,39
38,s,t,u,v,w,x,I,J,39
40,s,t,u,I,J,K,L,M,41
40,s,t,u,v,w,x,I,J,41
42,s,t,u,I,J,K,L,M,43
42,s,t,u,v,w,x,I,J,43
44,s,t,u,I,J,K,L,M,45
44,s,t,u,v,w,x,I,J,45
46,s,t,u,I,J,K,L,M,47
46,s,t,u,v,w,x,I,J,47
48,s,t,u,I,J,K,L,M,49
48,s,t,u,v,w,x,I,J,49
50,s,t,u,I,J,K,L,M,51
50,s,t,u,v,w,x,I,J,51
52,s,t,u,I,J,K,L,M,53
52,s,t,u,v,w,x,I,J,53
54,s,t,u,I,J,K,L,M,55
54,s,t,u,v,w,x,I,J,55
56,s,t,u,I,J,K,L,M,57
56,s,t,u,v,w,x,I,J,57
58,s,t,u,I,J,K,L,M,59
58,s,t,u,v,w,x,I,J,59
60,s,t,u,I,J,K,L,M,61
60,s,t,u,v,w,x,I,J,61
62,s,t,u,I,J,K,L,M,63
62,s,t,u,v,w,x,I,J,63
64,s,t,u,I,J,K,L,M,65
64,s,t,u,v,w,x,I,J,65
66,s,t,u,I,J,K,L,M,67
66,s,t,u,v,w,x,I,J,67
68,s,t,u,I,J,K,L,M,69
68,s,t,u,v,w,x,I,J,69
70,s,t,u,I,J,K,L,M,71
70,s,t,u,v,w,x,I,J,71
72,s,t,u,I,J,K,L,M,73
72,s,t,u,v,w,x,I,J,73
74,s,t,u,I,J,K,L,M,75
74,s,t,u,v,w,x,I,J,75
76,s,t,u,I,J,K,L,M,77
76,s,t,u,v,w,x,I,J,77
78,s,t,u,I,J,K,L,M,79
78,s,t,u,v,w,x,I,J,79
80,s,t,u,I,J,K,L,M,81
80,s,t,u,v,w,x,I,J,81
82,s,t,u,I,J,K,L,M,83
82,s,t,u,v,w,x,I,J,83
84,s,t,u,I,J,K,L,M,85
84,s,t,u,v,w,x,I,J,85
86,s,t,u,I,J,K,L,M,87
86,s,t,u,v,w,x,I,J,87
88,s,t,u,I,J,K,L,M,89
88,s,t,u,v,w,x,I,J,89
90,s,t,u,I,J,K,L,M,91
90,s,t,u,v,w,x,I,J,91
92,s,t,u,I,J,K,L,M,93
92,s,t,u,v,w,x,I,J,93
94,s,t,u,I,J,K,L,M,95
94,s,t,u,v,w,x,I,J,95
96,s,t,u,I,J,K,L,M,97
96,s,t,u,v,w,x,I,J,97
98,s,t,u,I,J,K,L,M,99
98,s,t,u,v,w,x,I,J,99
100,s,t,u,I,J,K,L,M,101
100,s,t,u,v,w,x,I,J,101
102,s,t,u,I,J,K,L,M,103
102,s,t,u,v,w,x,I,J,103
104,s,t,u,I,J,K,L,M,105
104,s,t,u,v,w,x,I,J,105
106,s,t,u,I,J,K,L,M,107
106,s,t,u,v,w,x,I,J,107
108,s,t,u,I,J,K,L,M,109
108,s,t,u,v,w,x,I,J,109
110,s,t,u,I,J,K,L,M,111
110,s,t,u,v,w,x,I,J,111
112,s,t,u,I,J,K,L,M,113
112,s,t,u,v,w,x,I,J,113
114,s,t,u,I,J,K,L,M,115
114,s,t,u,v,w,x,I,J,115
116,s,t,u,I,J,K,L,M,117
116,s,t,u,v,w,x,I,J,117
118,s,t,u,I,J,K,L,M,119
118,s,t,u,v,w,x,I,J,119

#default-like
i,A,B,Q,R,S,T,U,V,i
i,A,B,C,Q,R,S,T,U,i
#defaults
1,a,b,c,d,e,f,g,h,0
11,a,b,c,d,e,f,g,h,10
13,a,b,c,d,e,f,g,h,12
15,a,b,c,d,e,f,g,h,14
17,a,b,c,d,e,f,g,h,16
19,a,b,c,d,e,f,g,h,18
21,a,b,c,d,e,f,g,h,20
23,a,b,c,d,e,f,g,h,22
25,a,b,c,d,e,f,g,h,24
27,a,b,c,d,e,f,g,h,26
29,a,b,c,d,e,f,g,h,28
31,a,b,c,d,e,f,g,h,30
33,a,b,c,d,e,f,g,h,32
35,a,b,c,d,e,f,g,h,34
37,a,b,c,d,e,f,g,h,36
39,a,b,c,d,e,f,g,h,38
41,a,b,c,d,e,f,g,h,40
43,a,b,c,d,e,f,g,h,42
45,a,b,c,d,e,f,g,h,44
47,a,b,c,d,e,f,g,h,46
49,a,b,c,d,e,f,g,h,48
51,a,b,c,d,e,f,g,h,50
53,a,b,c,d,e,f,g,h,52
55,a,b,c,d,e,f,g,h,54
57,a,b,c,d,e,f,g,h,56
59,a,b,c,d,e,f,g,h,58
61,a,b,c,d,e,f,g,h,60
63,a,b,c,d,e,f,g,h,62
65,a,b,c,d,e,f,g,h,64
67,a,b,c,d,e,f,g,h,66
69,a,b,c,d,e,f,g,h,68
71,a,b,c,d,e,f,g,h,70
73,a,b,c,d,e,f,g,h,72
75,a,b,c,d,e,f,g,h,74
77,a,b,c,d,e,f,g,h,76
79,a,b,c,d,e,f,g,h,78
81,a,b,c,d,e,f,g,h,80
83,a,b,c,d,e,f,g,h,82
85,a,b,c,d,e,f,g,h,84
87,a,b,c,d,e,f,g,h,86
89,a,b,c,d,e,f,g,h,88
91,a,b,c,d,e,f,g,h,90
93,a,b,c,d,e,f,g,h,92
95,a,b,c,d,e,f,g,h,94
97,a,b,c,d,e,f,g,h,96
99,a,b,c,d,e,f,g,h,98
101,a,b,c,d,e,f,g,h,100
103,a,b,c,d,e,f,g,h,102
105,a,b,c,d,e,f,g,h,104
107,a,b,c,d,e,f,g,h,106
109,a,b,c,d,e,f,g,h,108
111,a,b,c,d,e,f,g,h,110
113,a,b,c,d,e,f,g,h,112
115,a,b,c,d,e,f,g,h,114
117,a,b,c,d,e,f,g,h,116
119,a,b,c,d,e,f,g,h,118

@NAMES
0 dead
1 alive
2 00
3 10
4 (1)0
5 0(0)
6 1(0)
7 01
8 11
9 (1)1
10 [10;00](0)
11 [10;00](1)
12 [(1)0;00](0)
13 [(1)0;00](1)
14 [0(0);00](0)
15 [0(0);00](1)
16 [1(0);00](0)
17 [1(0);00](1)
18 [01;00](0)
19 [01;00](1)
20 [(1)1;00](0)
21 [(1)1;00](1)
22 [00;10](0)
23 [00;10](1)
24 [(1)0;10](0)
25 [(1)0;10](1)
26 [0(0);10](0)
27 [0(0);10](1)
28 [1(0);10](0)
29 [1(0);10](1)
30 [01;10](0)
31 [01;10](1)
32 [11;10](0)
33 [11;10](1)
34 [(1)1;10](0)
35 [(1)1;10](1)
36 [00;(1)0](0)
37 [00;(1)0](1)
38 [10;(1)0](0)
39 [10;(1)0](1)
40 [0(0);(1)0](0)
41 [0(0);(1)0](1)
42 [1(0);(1)0](0)
43 [1(0);(1)0](1)
44 [01;(1)0](0)
45 [01;(1)0](1)
46 [11;(1)0](0)
47 [11;(1)0](1)
48 [(1)1;(1)0](0)
49 [(1)1;(1)0](1)
50 [00;0(0)](0)
51 [00;0(0)](1)
52 [10;0(0)](0)
53 [10;0(0)](1)
54 [(1)0;0(0)](0)
55 [(1)0;0(0)](1)
56 [1(0);0(0)](0)
57 [1(0);0(0)](1)
58 [01;0(0)](0)
59 [01;0(0)](1)
60 [11;0(0)](0)
61 [11;0(0)](1)
62 [(1)1;0(0)](0)
63 [(1)1;0(0)](1)
64 [00;1(0)](0)
65 [00;1(0)](1)
66 [10;1(0)](0)
67 [10;1(0)](1)
68 [(1)0;1(0)](0)
69 [(1)0;1(0)](1)
70 [0(0);1(0)](0)
71 [0(0);1(0)](1)
72 [01;1(0)](0)
73 [01;1(0)](1)
74 [11;1(0)](0)
75 [11;1(0)](1)
76 [(1)1;1(0)](0)
77 [(1)1;1(0)](1)
78 [00;01](0)
79 [00;01](1)
80 [10;01](0)
81 [10;01](1)
82 [(1)0;01](0)
83 [(1)0;01](1)
84 [0(0);01](0)
85 [0(0);01](1)
86 [1(0);01](0)
87 [1(0);01](1)
88 [11;01](0)
89 [11;01](1)
90 [(1)1;01](0)
91 [(1)1;01](1)
92 [00;11](0)
93 [00;11](1)
94 [10;11](0)
95 [10;11](1)
96 [(1)0;11](0)
97 [(1)0;11](1)
98 [0(0);11](0)
99 [0(0);11](1)
100 [1(0);11](0)
101 [1(0);11](1)
102 [01;11](0)
103 [01;11](1)
104 [(1)1;11](0)
105 [(1)1;11](1)
106 [00;(1)1](0)
107 [00;(1)1](1)
108 [10;(1)1](0)
109 [10;(1)1](1)
110 [(1)0;(1)1](0)
111 [(1)0;(1)1](1)
112 [0(0);(1)1](0)
113 [0(0);(1)1](1)
114 [1(0);(1)1](0)
115 [1(0);(1)1](1)
116 [01;(1)1](0)
117 [01;(1)1](1)
118 [11;(1)1](0)
119 [11;(1)1](1)

@COLORS
0 48 48 48
1 0 255 0
2 128 128 128
3 128 0 255
4 128 128 48
5 192 0 0
6 255 0 0
7 255 0 128
8 255 255 255
9 255 255 0
10 255 128 0
11 255 148 64
12 128 255 0
13 148 255 64
14 0 128 255
15 64 148 255
16 0 255 128
17 64 255 148
18 128 48 48
19 192 110 110
20 48 128 48
21 110 192 110
22 48 48 128
23 110 110 192
24 64 0 0
25 128 0 0
26 0 64 0
27 0 128 0
28 0 0 64
29 0 0 128
30 64 64 0
31 128 128 0
32 0 64 64
33 0 128 128
34 64 0 64
35 128 0 128
36 64 32 0
37 128 64 0
38 32 64 0
39 64 128 0
40 0 64 32
41 0 128 64
42 0 32 64
43 0 64 128
44 32 0 64
45 64 0 128
46 64 0 32
47 128 0 64
48 255 64 64
49 255 128 128
50 255 255 64
51 255 255 128
52 64 255 64
53 128 255 128
54 64 255 255
55 128 255 255
56 64 64 255
57 128 128 255
58 255 64 255
59 255 128 255
60 128 80 80
61 200 160 160
62 128 128 80
63 200 200 160
64 80 128 80
65 160 200 160
66 80 128 128
67 160 200 200
68 80 80 128
69 160 160 200
70 128 80 128
71 200 160 200
72 255 80 0
73 255 160 0
74 255 0 80
75 255 0 160
76 80 255 0
77 160 255 0
78 0 255 80
79 0 255 160
80 80 0 255
81 160 0 255
82 0 80 255
83 0 160 255
84 255 128 50
85 255 128 100
86 128 255 50
87 128 255 100
88 50 255 128
89 100 255 128
90 50 128 255
91 100 128 255
92 128 50 255
93 128 100 255
94 255 50 128
95 255 100 128
96 255 128 64
97 255 192 128
98 128 255 64
99 192 255 128
100 64 255 128
101 128 255 192
102 64 128 255
103 128 192 255
104 128 64 255
105 192 128 255
106 255 64 128
107 255 128 192
108 255 80 80
109 128 160 160
110 255 255 80
111 128 128 160
112 80 255 80
113 160 128 160
114 80 255 255
115 160 128 128
116 80 80 255
117 160 160 128
118 255 80 255
119 128 160 128

Rule:States(V)

2025-02-03T23:41:24Z

CARuler: Created page with "@RULE States(V) @TABLE n_states:30 neighborhood:Moore symmetries:permute 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 #births off var i = {0,2,4,7,8,9,11,12,14,18,19,21,23,24,28} var j = i var k = i var l = i var m = i var n = i var o = i var p = i #births on var q = {1,3,5,6,10,13,15,16,17,20,22,25,26,27,29} var r = q var s = q var t = q var u = q var v = q..."

@RULE States(V)
@TABLE
n_states:30
neighborhood:Moore
symmetries:permute
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
#births off
var i = {0,2,4,7,8,9,11,12,14,18,19,21,23,24,28}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
#births on
var q = {1,3,5,6,10,13,15,16,17,20,22,25,26,27,29}
var r = q
var s = q
var t = q
var u = q
var v = q
var w = q
var x = q
#survival off
var y = {0,2,3,6,7,9,11,12,13,15,17,18,20,24,26}
var z = y
var A = y
var B = y
var C = y
var D = y
var E = y
var F = y
#survival on
var G = {1,4,5,8,10,14,16,19,21,22,23,25,27,28,29}
var H = G
var I = G
var J = G
var K = G
var L = G
var M = G
var N = G
#on or off
var & = {0,1}
#all
var % = {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 ^ = %
var * = %
var ! = %
var ? = %
var + = %
var - = %
var ~ = %
#pairs
var O = {6,7}
var P = {8,9}
var Q = {10,11}
var R = {12,13}
var S = {14,15}
var T = {16,17}
var U = {18,19}
var V = {20,21}
var W = {22,23}
var X = {24,25}
var Y = {26,27}
var Z = {28,29}
#other stuff
O,&,&,&,&,&,&,&,&,6
P,&,&,&,&,&,&,&,&,8
Q,&,&,&,&,&,&,&,&,10
R,&,&,&,&,&,&,&,&,12
S,&,&,&,&,&,&,&,&,14
T,&,&,&,&,&,&,&,&,16
U,&,&,&,&,&,&,&,&,18
V,&,&,&,&,&,&,&,&,20
W,&,&,&,&,&,&,&,&,22
X,&,&,&,&,&,&,&,&,24
Y,&,&,&,&,&,&,&,&,26
Z,&,&,&,&,&,&,&,&,28

O,%,&,&,&,&,&,&,&,6
P,%,&,&,&,&,&,&,&,8
Q,%,&,&,&,&,&,&,&,10
R,%,&,&,&,&,&,&,&,12
S,%,&,&,&,&,&,&,&,14
T,%,&,&,&,&,&,&,&,16
U,%,&,&,&,&,&,&,&,18
V,%,&,&,&,&,&,&,&,20
W,%,&,&,&,&,&,&,&,22
X,%,&,&,&,&,&,&,&,24
Y,%,&,&,&,&,&,&,&,26
Z,%,&,&,&,&,&,&,&,28

O,%,^,&,&,&,&,&,&,6
P,%,^,&,&,&,&,&,&,8
Q,%,^,&,&,&,&,&,&,10
R,%,^,&,&,&,&,&,&,12
S,%,^,&,&,&,&,&,&,14
T,%,^,&,&,&,&,&,&,16
U,%,^,&,&,&,&,&,&,18
V,%,^,&,&,&,&,&,&,20
W,%,^,&,&,&,&,&,&,22
X,%,^,&,&,&,&,&,&,24
Y,%,^,&,&,&,&,&,&,26
Z,%,^,&,&,&,&,&,&,28

O,%,^,*,&,&,&,&,&,6
P,%,^,*,&,&,&,&,&,8
Q,%,^,*,&,&,&,&,&,10
R,%,^,*,&,&,&,&,&,12
S,%,^,*,&,&,&,&,&,14
T,%,^,*,&,&,&,&,&,16
U,%,^,*,&,&,&,&,&,18
V,%,^,*,&,&,&,&,&,20
W,%,^,*,&,&,&,&,&,22
X,%,^,*,&,&,&,&,&,24
Y,%,^,*,&,&,&,&,&,26
Z,%,^,*,&,&,&,&,&,28

O,%,^,*,!,&,&,&,&,6
P,%,^,*,!,&,&,&,&,8
Q,%,^,*,!,&,&,&,&,10
R,%,^,*,!,&,&,&,&,12
S,%,^,*,!,&,&,&,&,14
T,%,^,*,!,&,&,&,&,16
U,%,^,*,!,&,&,&,&,18
V,%,^,*,!,&,&,&,&,20
W,%,^,*,!,&,&,&,&,22
X,%,^,*,!,&,&,&,&,24
Y,%,^,*,!,&,&,&,&,26
Z,%,^,*,!,&,&,&,&,28

O,%,^,*,!,?,&,&,&,6
P,%,^,*,!,?,&,&,&,8
Q,%,^,*,!,?,&,&,&,10
R,%,^,*,!,?,&,&,&,12
S,%,^,*,!,?,&,&,&,14
T,%,^,*,!,?,&,&,&,16
U,%,^,*,!,?,&,&,&,18
V,%,^,*,!,?,&,&,&,20
W,%,^,*,!,?,&,&,&,22
X,%,^,*,!,?,&,&,&,24
Y,%,^,*,!,?,&,&,&,26
Z,%,^,*,!,?,&,&,&,28

O,%,^,*,!,?,+,&,&,6
P,%,^,*,!,?,+,&,&,8
Q,%,^,*,!,?,+,&,&,10
R,%,^,*,!,?,+,&,&,12
S,%,^,*,!,?,+,&,&,14
T,%,^,*,!,?,+,&,&,16
U,%,^,*,!,?,+,&,&,18
V,%,^,*,!,?,+,&,&,20
W,%,^,*,!,?,+,&,&,22
X,%,^,*,!,?,+,&,&,24
Y,%,^,*,!,?,+,&,&,26
Z,%,^,*,!,?,+,&,&,28

O,%,^,*,!,?,+,-,&,6
P,%,^,*,!,?,+,-,&,8
Q,%,^,*,!,?,+,-,&,10
R,%,^,*,!,?,+,-,&,12
S,%,^,*,!,?,+,-,&,14
T,%,^,*,!,?,+,-,&,16
U,%,^,*,!,?,+,-,&,18
V,%,^,*,!,?,+,-,&,20
W,%,^,*,!,?,+,-,&,22
X,%,^,*,!,?,+,-,&,24
Y,%,^,*,!,?,+,-,&,26
Z,%,^,*,!,?,+,-,&,28

#survival
1,G,H,a,y,z,A,B,C,1
#births
0,q,r,s,i,j,k,l,m,1
#defaults
1,a,b,c,d,e,f,g,h,0
O,a,b,c,d,e,f,g,h,7
P,a,b,c,d,e,f,g,h,9
Q,a,b,c,d,e,f,g,h,11
R,a,b,c,d,e,f,g,h,13
S,a,b,c,d,e,f,g,h,15
T,a,b,c,d,e,f,g,h,17
U,a,b,c,d,e,f,g,h,19
V,a,b,c,d,e,f,g,h,21
W,a,b,c,d,e,f,g,h,23
X,a,b,c,d,e,f,g,h,25
Y,a,b,c,d,e,f,g,h,27
Z,a,b,c,d,e,f,g,h,29
@NAMES
0 dead
1 alive
2 00
3 10
4 01
5 11
6 |10_1~00_2|(1)
7 |10_1~00_2|(2)
8 |01_1~00_2|(1)
9 |01_1~00_2|(2)
10 |11_1~00_2|(1)
11 |11_1~00_2|(2)
12 |00_1~10_2|(1)
13 |00_1~10_2|(2)
14 |01_1~10_2|(1)
15 |01_1~10_2|(2)
16 |11_1~10_2|(1)
17 |11_1~10_2|(2)
18 |00_1~01_2|(1)
19 |00_1~01_2|(2)
20 |10_1~01_2|(1)
21 |10_1~01_2|(2)
22 |11_1~01_2|(1)
23 |11_1~01_2|(2)
24 |00_1~11_2|(1)
25 |00_1~11_2|(2)
26 |10_1~11_2|(1)
27 |10_1~11_2|(2)
28 |01_1~11_2|(1)
29 |01_1~11_2|(2)
@COLORS
0 48 48 48
1 0 255 0
2 128 128 128
3 255 64 200
4 200 64 255
5 255 255 255
6 255 0 0
7 128 0 0
8 255 128 0
9 128 64 0
10 255 255 0
11 128 128 0
12 128 255 0
13 64 128 0
14 0 255 128
15 0 128 64
16 0 255 255
17 0 128 128
18 0 128 255
19 0 64 128
20 0 0 255
21 0 0 128
22 128 0 255
23 64 0 128
24 255 0 255
25 128 0 128
26 255 0 128
27 128 0 64
28 128 84 40
29 64 42 20

Rule:IceC

2025-02-03T21:21:13Z

CARuler: Created page with "@RULE IceC @NAMES 0 air 1 ice 2 water @COLORS 0 48 48 48 1 160 245 255 2 5 60 255 @TABLE n_states:3 neighborhood:Moore symmetries:reflect_horizontal var a={0,1,2} var b=a var c=a var d=a var e=a var f=a var g=a var h=a var i={0,2} var j=i var k=i var l=i var m=i var n=i var o={0,1} #B3ai/S3ai o,1,1,1,i,j,k,l,m,1 o,i,1,1,1,j,k,l,m,1 o,i,j,k,1,1,1,l,m,1 o,1,1,i,j,k,l,m,1,1 #S2 1,1,1,i,j,k,l,m,n,1 1,1,i,1,j,k,l,m,n,1 1,1,i,j,1,k,l,m,n,1 1,1,i,j,k,1,l,m,n,1 1,i,1,1,j,k..."

@RULE IceC

@NAMES
0 air
1 ice
2 water

@COLORS
0 48 48 48
1 160 245 255
2 5 60 255

@TABLE
n_states:3
neighborhood:Moore
symmetries:reflect_horizontal

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

#B3ai/S3ai
o,1,1,1,i,j,k,l,m,1
o,i,1,1,1,j,k,l,m,1
o,i,j,k,1,1,1,l,m,1
o,1,1,i,j,k,l,m,1,1

#S2
1,1,1,i,j,k,l,m,n,1
1,1,i,1,j,k,l,m,n,1
1,1,i,j,1,k,l,m,n,1
1,1,i,j,k,1,l,m,n,1
1,i,1,1,j,k,l,m,n,1
1,i,1,j,1,k,l,m,n,1
1,i,1,j,k,1,l,m,n,1
1,i,1,j,k,l,1,m,n,1
1,i,1,j,k,l,m,1,n,1
1,i,1,j,k,l,m,n,1,1
1,i,j,1,1,k,l,m,n,1
1,i,j,1,k,1,l,m,n,1
1,i,j,1,k,l,1,m,n,1
1,i,j,1,k,l,m,1,n,1
1,i,j,k,1,1,l,m,n,1
1,i,j,k,1,l,1,m,n,1

#Water->Ice
2,a,b,1,c,d,e,f,g,1
2,a,b,c,d,1,e,f,g,1
2,a,b,c,d,e,f,1,g,1

#gravity
i,2,j,a,b,c,d,e,k,2

#defaults
i,a,b,c,d,e,f,g,h,0
1,a,b,c,d,e,f,g,h,2

Rule:Photons10v0

2025-01-25T01:25:21Z

CARuler: Created page with "@RULE photons10v0 @COLORS 0 0 0 0 1 255 255 255 2 191,191,191 3 0,255,255 4 255,0,255 5 191,0,191 6 255,255,0 7 223,223,0 8 191,191,0 9 0,0,255 10 0,0,223 11 0,0,191 12 0,255,0 13 0,234,0 14 0,213,0 15 0,191,0 16 255,0,0 17 234,0,0 18 213,0,0 19 191,0,0 20 127,255,255 21 111,239,239 22 95,223,223 23 79,207,207 24 63,191,191 25 255,127,255 26 239,111,239 27 223,95,223 28 207,79,207 29 191,63,191 30 0, 255, 195 31 0, 224, 171 32 0, 192, 147 33 0, 160, 123 34 0, 128,..."

@RULE photons10v0
@COLORS
0 0 0 0
1 255 255 255
2 191,191,191
3 0,255,255
4 255,0,255
5 191,0,191
6 255,255,0
7 223,223,0
8 191,191,0
9 0,0,255
10 0,0,223
11 0,0,191
12 0,255,0
13 0,234,0
14 0,213,0
15 0,191,0
16 255,0,0
17 234,0,0
18 213,0,0
19 191,0,0
20 127,255,255
21 111,239,239
22 95,223,223
23 79,207,207
24 63,191,191
25 255,127,255
26 239,111,239
27 223,95,223
28 207,79,207
29 191,63,191
30 0, 255, 195
31 0, 224, 171
32 0, 192, 147
33 0, 160, 123
34 0, 128, 99
35 127,127,255
36 111,111,239
37 95,95,223
38 79,79,207
39 63,63,191
40 127,255,127
41 114,242,114
42 101,229,101
43 88,216,88
44 75,203,75
45 63,191,63
46 255,127,127
47 242,114,114
48 229,101,101
49 216,88,88
50 203,75,75
51 191,63,63
52 0,127,255
53 0,116,244
54 0,105,233
55 0,95,223
56 0,84,212
57 0,73,202
58 0,63,191
59 0,255,127
60 0,244,116
61 0,233,105
62 0,223,95
63 0,212,84
64 0,202,73
65 0,191,63
66 127,0,255
67 116,0,244
68 105,0,233
69 95,0,223
70 84,0,212
71 73,0,202
72 63,0,191
73 127,127,127
74 116,116,116
75 105,105,105
76 95,95,95
77 84,84,84
78 73,73,73
79 63,63,63
80 127,255,0
81 116,244,0
82 105,233,0
83 95,223,0
84 84,212,0
85 73,202,0
86 63,191,0
87 255,0,127
88 244,0,116
89 233,0,105
90 223,0,95
91 212,0,84
92 202,0,73
93 191,0,63
94 255,127,0
95 245,117,0
96 237,108,0
97 227,99,0
98 218,90,0
99 209,81,0
100 200,72,0
101 191,63,0
102 0,127,127
103 0,117,117
104 0,108,108
105 0,99,99
106 0,90,90
107 0,81,81
108 0,72,72
109 0,63,63
110 127,0,127
111 117,0,117
112 108,0,108
113 99,0,99
114 90,0,90
115 81,0,81
116 72,0,72
117 63,0,63
118 127,127,0
119 117,117,0
120 108,108,0
121 99,99,0
122 90,90,0
123 81,81,0
124 72,72,0
125 63,63,0
126 0,0,127
127 0,0,119
128 0,0,111
129 0,0,103
130 0,0,95
131 0,0,87
132 0,0,79
133 0,0,71
134 0,0,63
135 0,127,0
136 0,119,0
137 0,111,0
138 0,103,0
139 0,95,0
140 0,87,0
141 0,79,0
142 0,71,0
143 0,63,0
144 127,0,0
145 119,0,0
146 111,0,0
147 103,0,0
148 95,0,0
149 87,0,0
150 79,0,0
151 71,0,0
152 63,0,0
153 255,191,0
154 247,183,0
155 239,175,0
156 231,167,0
157 223,159,0
158 215,151,0
159 207,143,0
160 199,135,0
161 191,127,0
162 191,255,0
163 183,247,0
164 175,239,0
165 167,231,0
166 159,223,0
167 151,215,0
168 143,207,0
169 135,199,0
170 127,191,0
171 0,255,191
172 0,247,183
173 0,239,175
174 0,231,167
175 0,223,159
176 0,215,151
177 0,207,143
178 0,199,135
179 0,191,127
180 0,191,255
181 0,183,247
182 0,176,240
183 0,169,233
184 0,162,226
185 0,155,219
186 0,148,212
187 0,141,205
188 0,134,198
189 0,127,191
190 191,0,255
191 183,0,247
192 176,0,240
193 169,0,233
194 162,0,226
195 155,0,219
196 148,0,212
197 141,0,205
198 134,0,198
199 127,0,191
200 255,0,191
201 247,0,183
202 240,0,176
203 233,0,169
204 226,0,162
205 219,0,155
206 212,0,148
207 205,0,141
208 198,0,134
209 191,0,127
210 50,50,50
211 45,45,50
212 40,40,50
213 35,35,50
214 30,30,50
215 25,25,50
216 25,20,50
217 25,15,50
218 25,10,50
219 25,5,50
@NAMES
0 dead
1 asset
2 orthag
3 diag
4 knightwise 1
5 knightwise 2
6 camelwise 1
7 camelwise 2
8 camelwise 3
9 zebrawise 1
10 zebrawise 2
11 zebrawise 3
12 giraffewise 1
13 giraffewise 2
14 giraffewise 3
15 giraffewise 4
16 antelopewise 1
17 antelopewise 2
18 antelopewise 3
19 antelopewise 4
20 ibiswise 1
21 ibiswise 2
22 ibiswise 3
23 ibiswise 4
24 ibiswise 5
25 kiwiwise 1
26 kiwiwise 2
27 kiwiwise 3
28 kiwiwise 4
29 kiwiwise 5
30 peacockwise 1
31 peacockwise 2
32 peacockwise 3
33 peacockwise 4
34 peacockwise 5
35 parrotwise 1
36 parrotwise 2
37 parrotwise 3
38 parrotwise 4
39 parrotwise 5
40 flamingowise 1
41 flamingowise 2
42 flamingowise 3
43 flamingowise 4
44 flamingowise 5
45 flamingowise 6
46 eaglewise 1
47 eaglewise 2
48 eaglewise 3
49 eaglewise 4
50 eaglewise 5
51 eaglewise 6
52 Lionwise 1
53 Lionwise 2
54 Lionwise 3
55 Lionwise 4
56 Lionwise 5
57 Lionwise 6
58 Lionwise 7
59 leopardwise 1
60 leopardwise 2
61 leopardwise 3
62 leopardwise 4
63 leopardwise 5
64 leopardwise 6
65 leopardwise 7
66 pantherwise 1
67 pantherwise 2
68 pantherwise 3
69 pantherwise 4
70 pantherwise 5
71 pantherwise 6
72 pantherwise 7
73 cougarwise 1
74 cougarwise 2
75 cougarwise 3
76 cougarwise 4
77 cougarwise 5
78 cougarwise 6
79 cougarwise 7
80 tigerwise 1
81 tigerwise 2
82 tigerwise 3
83 tigerwise 4
84 tigerwise 5
85 tigerwise 6
86 tigerwise 7
87 lynxwise 1
88 lynxwise 2
89 lynxwise 3
90 lynxwise 4
91 lynxwise 5
92 lynxwise 6
93 lynxwise 7
94 nautiluswise 1
95 nautiluswise 2
96 nautiluswise 3
97 nautiluswise 4
98 nautiluswise 5
99 nautiluswise 6
100 nautiluswise 7
101 nautiluswise 8
102 squidwise 1
103 squidwise 2
104 squidwise 3
105 squidwise 4
106 squidwise 5
107 squidwise 6
108 squidwise 7
109 squidwise 8
110 cuttlefishwise 1
111 cuttlefishwise 2
112 cuttlefishwise 3
113 cuttlefishwise 4
114 cuttlefishwise 5
115 cuttlefishwise 6
116 cuttlefishwise 7
117 cuttlefishwise 8
118 otcopuswise 1
119 otcopuswise 2
120 otcopuswise 3
121 otcopuswise 4
122 otcopuswise 5
123 otcopuswise 6
124 otcopuswise 7
125 otcopuswise 8
126 elephantwise 1
127 elephantwise 2
128 elephantwise 3
129 elephantwise 4
130 elephantwise 5
131 elephantwise 6
132 elephantwise 7
133 elephantwise 8
134 elephantwise 9
135 rhinowise 1
136 rhinowise 2
137 rhinowise 3
138 rhinowise 4
139 rhinowise 5
140 rhinowise 6
141 rhinowise 7
142 rhinowise 8
143 rhinowise 9
144 hippowise 1
145 hippowise 2
146 hippowise 3
147 hippowise 4
148 hippowise 5
149 hippowise 6
150 hippowise 7
151 hippowise 8
152 hippowise 9
153 buffalowise 1
154 buffalowise 2
155 buffalowise 3
156 buffalowise 4
157 buffalowise 5
158 buffalowise 6
159 buffalowise 7
160 buffalowise 8
161 buffalowise 9
162 waterbeastwise 1
163 waterbeastwise 2
164 waterbeastwise 3
165 waterbeastwise 4
166 waterbeastwise 5
167 waterbeastwise 6
168 waterbeastwise 7
169 waterbeastwise 8
170 waterbeastwise 9
171 wildbeastwise 1
172 wildbeastwise 2
173 wildbeastwise 3
174 wildbeastwise 4
175 wildbeastwise 5
176 wildbeastwise 6
177 wildbeastwise 7
178 wildbeastwise 8
179 wildbeastwise 9
180 ogrewise 1
181 ogrewise 2
182 ogrewise 3
183 ogrewise 4
184 ogrewise 5
185 ogrewise 6
186 ogrewise 7
187 ogrewise 8
188 ogrewise 9
189 ogrewise 10
190 golemwise 1
191 golemwise 2
192 golemwise 3
193 golemwise 4
194 golemwise 5
195 golemwise 6
196 golemwise 7
197 golemwise 8
198 golemwise 9
199 golemwise 10
200 trollwise 1
201 trollwise 2
202 trollwise 3
203 trollwise 4
204 trollwise 5
205 trollwise 6
206 trollwise 7
207 trollwise 8
208 trollwise 9
209 trollwise 10
210 goliathwise 1
211 goliathwise 2
212 goliathwise 3
213 goliathwise 4
214 goliathwise 5
215 goliathwise 6
216 goliathwise 7
217 goliathwise 8
218 goliathwise 9
219 goliathwise 10
@TABLE
n_states:220
neighborhood:Moore
symmetries:rotate4reflect
var all = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219}
var a = all
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
var i = {2,4,6,7,9,12,13,14,16,20,21,22,23,25,26,27,30,31,35,40,41,42,43,44,46,52,53,54,55,56,57,59,60,61,62,63,66,67,68,69,73,74,75,80,81,87,94,95,96,97,98,99,100,102,103,104,105,106,110,111,112,118,126,127,128,129,130,131,132,133,135,136,137,138,139,140,141,144,145,146,147,148,153,154,155,156,162,163,171,180,181,182,183,184,185,186,187,188,190,191,192,193,194,195,196,200,201,202,210}
var j = i
var k = {3,5,8,10,11,15,17,18,19,24,28,29,32,33,34,36,37,38,39,45,47,48,49,50,51,58,64,65,70,71,72,76,77,78,79,82,83,84,85,86,88,89,90,91,92,93,101,107,108,109,114,113,115,116,117,119,120,121,122,123,124,125,134,142,143,149,150,151,152,157,158,159,160,161,164,165,166,167,168,169,170,172,173,174,175,176,177,178,179,189,197,198,199,203,204,205,206,207,208,209,211,212,213,214,215,216,217,218,219}
var l = k
var m = {0,145,146,147,148}
var n = m
var o = m
var p = m
var q = {14,153}
var r = q
var s = q
var t = {6,7,25,26}
var u = {20,21,22,52,59}
var v = q
#before all
0,25,59,0,0,0,0,0,0,0
0,26,59,0,0,0,0,0,0,0
0,0,92,0,89,0,0,0,0,90
0,119,0,119,0,0,0,0,0,0

#move
0,1,i,0,0,0,0,0,0,1
0,i,1,0,0,1,0,0,0,1
0,k,1,0,0,0,0,0,0,1
0,0,k,0,1,0,0,0,0,1
#no reps
0,i,1,0,1,j,0,0,0,1
0,0,k,0,l,0,0,0,0,1
0,0,30,0,1,0,0,0,0,0
#transitions:
#orthag
0,2,1,0,0,0,0,0,0,2
#diag
0,0,3,0,0,0,0,0,0,3
#knightwise
0,4,1,0,0,0,0,0,0,5
0,0,5,0,0,0,0,0,0,4
0,6,1,0,0,0,0,0,0,7
0,7,1,0,0,0,0,0,0,8
0,0,8,0,0,0,0,0,0,6
0,9,1,0,0,0,0,0,0,10
0,0,10,0,0,0,0,0,0,11
0,0,11,0,0,0,0,0,0,9
0,12,1,0,0,0,0,0,0,13
0,13,1,0,0,0,0,0,0,14
0,14,1,0,0,0,0,0,0,15
0,0,15,0,0,0,0,0,0,12
0,16,1,0,0,0,0,0,0,17
0,0,17,0,0,0,0,0,0,18
0,0,18,0,0,0,0,0,0,19
0,0,19,0,0,0,0,0,0,16
0,20,1,0,0,0,0,0,0,21
0,21,1,0,0,0,0,0,0,22
0,22,1,0,0,0,0,0,0,23
0,23,1,0,0,0,0,0,0,24
0,0,24,0,0,0,0,0,0,20
0,25,1,0,0,0,0,0,0,26
0,26,1,0,0,0,0,0,0,27
0,27,1,0,0,0,0,0,0,28
0,0,28,0,0,0,0,0,0,29
0,0,29,0,0,0,0,0,0,25
0,30,1,0,0,0,0,0,0,31
0,31,1,0,0,0,0,0,0,32
0,0,32,0,0,0,0,0,0,33
0,0,33,0,0,0,0,0,0,34
0,0,34,0,0,0,0,0,0,30
0,35,1,0,0,0,0,0,0,36
0,0,36,0,0,0,0,0,0,37
0,0,37,0,0,0,0,0,0,38
0,0,38,0,0,0,0,0,0,39
0,0,39,0,0,0,0,0,0,35
0,40,1,0,0,0,0,0,0,41
0,41,1,0,0,0,0,0,0,42
0,42,1,0,0,0,0,0,0,43
0,43,1,0,0,0,0,0,0,44
0,44,1,0,0,0,0,0,0,45
0,0,45,0,0,0,0,0,0,40
0,46,1,0,0,0,0,0,0,47
0,0,47,0,0,0,0,0,0,48
0,0,48,0,0,0,0,0,0,49
0,0,49,0,0,0,0,0,0,50
0,0,50,0,0,0,0,0,0,51
0,0,51,0,0,0,0,0,0,46
0,52,1,0,0,0,0,0,0,53
0,53,1,0,0,0,0,0,0,54
0,54,1,0,0,0,0,0,0,55
0,55,1,0,0,0,0,0,0,56
0,56,1,0,0,0,0,0,0,57
0,57,1,0,0,0,0,0,0,58
0,0,58,0,0,0,0,0,0,52
0,59,1,0,0,0,0,0,0,60
0,60,1,0,0,0,0,0,0,61
0,61,1,0,0,0,0,0,0,62
0,62,1,0,0,0,0,0,0,63
0,63,1,0,0,0,0,0,0,64
0,0,64,0,0,0,0,0,0,65
0,0,65,0,0,0,0,0,0,59
0,66,1,0,0,0,0,0,0,67
0,67,1,0,0,0,0,0,0,68
0,68,1,0,0,0,0,0,0,69
0,69,1,0,0,0,0,0,0,70
0,0,70,0,0,0,0,0,0,71
0,0,71,0,0,0,0,0,0,72
0,0,72,0,0,0,0,0,0,66
0,73,1,0,0,0,0,0,0,74
0,74,1,0,0,0,0,0,0,75
0,75,1,0,0,0,0,0,0,76
0,0,76,0,0,0,0,0,0,77
0,0,77,0,0,0,0,0,0,78
0,0,78,0,0,0,0,0,0,79
0,0,79,0,0,0,0,0,0,73
0,80,1,0,0,0,0,0,0,81
0,81,1,0,0,0,0,0,0,82
0,0,82,0,0,0,0,0,0,83
0,0,83,0,0,0,0,0,0,84
0,0,84,0,0,0,0,0,0,85
0,0,85,0,0,0,0,0,0,86
0,0,86,0,0,0,0,0,0,80
0,87,1,0,0,0,0,0,0,88
0,0,88,0,0,0,0,0,0,89
0,0,89,0,0,0,0,0,0,90
0,0,90,0,0,0,0,0,0,91
0,0,91,0,0,0,0,0,0,92
0,0,92,0,0,0,0,0,0,93
0,0,93,0,0,0,0,0,0,87
0,94,1,0,0,0,0,0,0,95
0,95,1,0,0,0,0,0,0,96
0,96,1,0,0,0,0,0,0,97
0,97,1,0,0,0,0,0,0,98
0,98,1,0,0,0,0,0,0,99
0,99,1,0,0,0,0,0,0,100
0,100,1,0,0,0,0,0,0,101
0,0,101,0,0,0,0,0,0,94
0,102,1,0,0,0,0,0,0,103
0,103,1,0,0,0,0,0,0,104
0,104,1,0,0,0,0,0,0,105
0,105,1,0,0,0,0,0,0,106
0,106,1,0,0,0,0,0,0,107
0,0,107,0,0,0,0,0,0,108
0,0,108,0,0,0,0,0,0,109
0,0,109,0,0,0,0,0,0,102
0,110,1,0,0,0,0,0,0,111
0,111,1,0,0,0,0,0,0,112
0,112,1,0,0,0,0,0,0,113
0,0,113,0,0,0,0,0,0,114
0,0,114,0,0,0,0,0,0,115
0,0,115,0,0,0,0,0,0,116
0,0,116,0,0,0,0,0,0,117
0,0,117,0,0,0,0,0,0,110
0,118,1,0,0,0,0,0,0,119
0,0,119,0,0,0,0,0,0,120
0,0,120,0,0,0,0,0,0,121
0,0,121,0,0,0,0,0,0,122
0,0,122,0,0,0,0,0,0,123
0,0,123,0,0,0,0,0,0,124
0,0,124,0,0,0,0,0,0,125
0,0,125,0,0,0,0,0,0,118
0,126,1,0,0,0,0,0,0,127
0,127,1,0,0,0,0,0,0,128
0,128,1,0,0,0,0,0,0,129
0,129,1,0,0,0,0,0,0,130
0,130,1,0,0,0,0,0,0,131
0,131,1,0,0,0,0,0,0,132
0,132,1,0,0,0,0,0,0,133
0,133,1,0,0,0,0,0,0,134
0,0,134,0,0,0,0,0,0,126
0,135,1,0,0,0,0,0,0,136
0,136,1,0,0,0,0,0,0,137
0,137,1,0,0,0,0,0,0,138
0,138,1,0,0,0,0,0,0,139
0,139,1,0,0,0,0,0,0,140
0,140,1,0,0,0,0,0,0,141
0,141,1,0,0,0,0,0,0,142
0,0,142,0,0,0,0,0,0,143
0,0,143,0,0,0,0,0,0,135
0,144,1,0,0,0,0,0,0,145
0,145,1,0,0,0,0,0,0,146
0,146,1,0,0,0,0,0,0,147
0,147,1,0,0,0,0,0,0,148
0,148,1,0,0,0,0,0,0,149
0,0,149,0,0,0,0,0,0,150
0,0,150,0,0,0,0,0,0,151
0,0,151,0,0,0,0,0,0,152
0,0,152,0,0,0,0,0,0,144
0,153,1,0,0,0,0,0,0,154
0,154,1,0,0,0,0,0,0,155
0,155,1,0,0,0,0,0,0,156
0,156,1,0,0,0,0,0,0,157
0,0,157,0,0,0,0,0,0,158
0,0,158,0,0,0,0,0,0,159
0,0,159,0,0,0,0,0,0,160
0,0,160,0,0,0,0,0,0,161
0,0,161,0,0,0,0,0,0,153
0,162,1,0,0,0,0,0,0,163
0,163,1,0,0,0,0,0,0,164
0,0,164,0,0,0,0,0,0,165
0,0,165,0,0,0,0,0,0,166
0,0,166,0,0,0,0,0,0,167
0,0,167,0,0,0,0,0,0,168
0,0,168,0,0,0,0,0,0,169
0,0,169,0,0,0,0,0,0,170
0,0,170,0,0,0,0,0,0,162
0,171,1,0,0,0,0,0,0,172
0,0,172,0,0,0,0,0,0,173
0,0,173,0,0,0,0,0,0,174
0,0,174,0,0,0,0,0,0,175
0,0,175,0,0,0,0,0,0,176
0,0,176,0,0,0,0,0,0,177
0,0,177,0,0,0,0,0,0,178
0,0,178,0,0,0,0,0,0,179
0,0,179,0,0,0,0,0,0,171
0,180,1,0,0,0,0,0,0,181
0,181,1,0,0,0,0,0,0,182
0,182,1,0,0,0,0,0,0,183
0,183,1,0,0,0,0,0,0,184
0,184,1,0,0,0,0,0,0,185
0,185,1,0,0,0,0,0,0,186
0,186,1,0,0,0,0,0,0,187
0,187,1,0,0,0,0,0,0,188
0,188,1,0,0,0,0,0,0,189
0,0,189,0,0,0,0,0,0,180
0,190,1,0,0,0,0,0,0,191
0,191,1,0,0,0,0,0,0,192
0,192,1,0,0,0,0,0,0,193
0,193,1,0,0,0,0,0,0,194
0,194,1,0,0,0,0,0,0,195
0,195,1,0,0,0,0,0,0,196
0,196,1,0,0,0,0,0,0,197
0,0,197,0,0,0,0,0,0,198
0,0,198,0,0,0,0,0,0,199
0,0,199,0,0,0,0,0,0,190
0,200,1,0,0,0,0,0,0,201
0,201,1,0,0,0,0,0,0,202
0,202,1,0,0,0,0,0,0,203
0,0,203,0,0,0,0,0,0,204
0,0,204,0,0,0,0,0,0,205
0,0,205,0,0,0,0,0,0,206
0,0,206,0,0,0,0,0,0,207
0,0,207,0,0,0,0,0,0,208
0,0,208,0,0,0,0,0,0,209
0,0,209,0,0,0,0,0,0,200
0,210,1,0,0,0,0,0,0,211
0,0,211,0,0,0,0,0,0,212
0,0,212,0,0,0,0,0,0,213
0,0,213,0,0,0,0,0,0,214
0,0,214,0,0,0,0,0,0,215
0,0,215,0,0,0,0,0,0,216
0,0,216,0,0,0,0,0,0,217
0,0,217,0,0,0,0,0,0,218
0,0,218,0,0,0,0,0,0,219
0,0,219,0,0,0,0,0,0,210
#extra
0,0,1,0,3,0,3,0,0,5
4,9,0,0,0,9,0,0,0,4
0,0,9,4,9,0,0,0,0,9
7,6,0,0,0,6,0,0,0,7
0,0,1,30,1,0,0,0,0,30
6,7,0,0,0,0,0,0,0,6
30,1,0,30,0,1,0,0,0,30
30,0,1,30,1,0,0,0,0,7
0,1,30,30,0,0,0,0,0,6
6,7,30,0,0,0,0,0,0,6
7,6,0,30,0,6,0,0,0,7
0,5,0,5,0,0,0,0,0,2
4,2,4,0,0,0,0,0,0,5
0,4,2,0,0,0,0,0,0,5
12,0,16,0,0,0,0,0,0,12
12,16,0,0,0,0,0,0,0,12
0,12,0,16,12,0,0,0,0,16
109,109,101,101,0,0,0,0,0,109
101,101,109,109,0,0,0,0,0,101
0,94,0,101,101,0,0,0,0,94
0,94,0,101,109,0,0,0,0,94
0,102,0,109,109,0,0,0,0,102
0,102,0,109,101,0,0,0,0,102
0,0,94,102,0,102,102,0,0,109
0,0,102,94,0,94,94,0,0,101
3,1,0,1,0,1,0,1,0,3
1,0,1,3,1,0,1,1,0,1
1,1,0,1,0,0,1,0,0,1
1,1,1,0,0,0,0,0,0,1
0,1,1,1,3,1,1,0,0,180
1,1,180,1,180,0,1,0,0,1
3,1,180,1,180,1,180,1,180,3
1,0,1,0,0,0,0,0,0,1
1,180,1,1,0,0,0,0,0,1
1,1,180,1,0,0,1,0,0,1
1,1,1,180,1,3,1,180,0,1
0,1,0,189,1,0,0,0,0,189
1,0,1,0,189,0,0,0,0,1
0,1,1,0,0,189,0,0,0,1
0,180,1,0,0,1,0,1,1,189
1,1,1,0,189,0,0,0,0,1
1,1,0,189,1,0,0,1,0,1
1,189,1,0,0,0,0,0,0,1
1,3,1,0,189,1,1,0,1,1
1,1,1,0,0,189,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,0,0,1,0,0,0,0,1
4,2,4,0,4,0,0,0,0,4
0,4,0,4,0,0,0,0,0,35
0,5,4,35,0,0,0,0,0,35
35,4,0,0,35,0,0,0,0,5
4,35,0,0,0,0,0,0,0,5
4,2,4,0,0,4,0,0,0,4
1,1,1,1,0,0,0,0,0,1
0,1,1,0,0,1,2,0,0,1
1,1,1,1,0,1,0,0,0,1
1,1,1,1,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,2
1,2,1,1,1,1,0,0,0,1
1,1,1,1,2,1,0,0,0,1
1,1,1,1,0,0,2,0,0,1
0,135,0,126,0,0,0,0,0,126
0,126,0,135,0,126,0,0,0,135
135,0,126,0,126,0,0,0,0,135
0,0,126,135,126,0,0,0,0,135
126,135,135,0,0,0,0,0,0,126
19,0,1,0,0,0,0,0,0,1
0,19,0,1,0,0,0,0,0,2
16,2,1,0,0,0,0,0,0,2
0,0,16,0,16,0,0,0,0,16
0,0,16,0,0,0,16,0,0,19
0,0,2,0,0,0,2,0,0,1
0,0,19,0,19,0,19,0,19,19
0,0,1,0,16,0,1,0,19,2
0,0,2,0,2,0,2,0,2,19
25,1,0,1,0,1,0,0,0,25
1,25,1,0,0,0,1,0,0,1
1,0,1,25,1,0,0,0,0,1
1,25,1,0,0,0,0,0,0,1
0,1,0,1,25,0,0,0,0,1
0,0,1,25,1,0,0,0,0,144
25,144,1,1,0,1,0,1,0,25
1,0,144,25,1,0,0,0,0,1
1,0,1,1,144,25,1,0,0,1
0,0,1,1,144,0,0,0,0,1
1,0,1,0,1,0,0,0,0,1
0,0,1,25,1,0,1,145,0,1
25,1,3,1,2,1,0,1,0,25
0,1,25,0,145,0,1,0,0,3
1,0,1,25,1,2,1,0,0,1
1,3,1,25,1,0,0,0,0,1
1,0,3,0,0,0,1,0,0,1
0,1,0,1,145,0,25,1,0,2
1,2,1,0,0,0,0,0,0,1
0,0,3,1,2,0,1,146,0,1
0,0,126,0,126,0,126,0,126,134
0,114,30,0,0,0,0,0,0,1
0,30,0,114,30,0,30,0,0,30
0,30,0,30,0,0,0,0,0,30
30,0,30,0,30,0,0,0,0,30
1,0,114,0,0,0,0,0,0,1
0,30,0,30,114,0,0,30,0,30
0,30,0,0,0,1,0,0,0,1
30,30,30,0,0,0,0,0,0,30
0,0,30,30,30,0,0,0,0,30
0,30,30,30,0,0,1,0,0,114
0,11,0,0,0,11,0,0,0,9
0,0,11,0,11,0,1,0,1,1
9,1,0,0,1,1,1,0,0,9
1,1,9,0,0,0,0,0,0,1
1,1,0,9,0,1,0,0,0,1
0,1,1,9,1,0,0,0,0,1
0,0,1,1,1,0,0,0,0,1
1,1,9,0,0,0,0,0,0,1
1,1,1,9,0,1,0,0,0,9
0,1,9,1,0,0,0,0,0,1
9,1,0,1,0,0,0,0,0,9
1,9,1,0,0,0,0,0,0,1
0,1,9,0,2,0,0,0,0,1
1,1,9,1,0,0,0,0,0,2
0,0,9,1,9,0,0,0,0,2
2,9,1,0,0,0,0,0,0,1
1,1,0,9,1,0,0,0,0,9
1,3,1,0,1,0,0,0,0,1
1,0,1,0,1,0,1,0,0,1
3,3,1,1,0,1,0,0,0,171
1,171,0,0,1,0,0,0,0,171
1,0,171,0,1,0,1,0,0,171
1,0,1,0,171,0,0,0,0,171
0,171,0,0,0,1,0,0,0,171
171,0,1,0,0,0,0,0,0,171
0,0,171,171,1,0,0,0,0,1
1,1,0,171,0,0,0,0,0,171
0,1,1,171,0,1,0,0,0,1
1,1,171,0,0,0,0,0,0,3
0,3,171,0,0,0,0,0,0,1
1,3,171,0,0,0,0,0,0,1
171,3,1,0,0,1,0,0,0,1
0,0,3,171,1,0,0,0,0,172
1,3,1,0,1,172,0,0,0,1
0,1,172,1,0,1,0,0,0,173
1,0,1,172,1,0,1,0,1,1
1,172,1,0,0,0,0,0,0,1
0,0,1,173,1,0,0,0,0,1
0,1,3,171,1,0,0,0,0,1
1,1,0,1,0,1,0,0,0,136
0,1,172,1,1,1,0,0,0,173
172,1,0,1,0,1,0,0,0,1
1,1,136,0,1,0,1,0,0,1
0,0,1,172,1,0,0,0,0,136
1,173,0,1,136,0,0,0,0,1
0,51,51,0,0,0,0,0,0,2
46,2,0,0,46,0,0,0,0,46
0,0,2,46,0,46,2,0,0,20
46,20,46,0,0,0,0,0,0,51
0,46,20,0,0,0,0,0,0,51
0,3,0,0,3,0,0,0,0,2
2,2,0,0,0,3,0,0,0,1
3,2,0,0,0,0,0,0,0,1
0,3,2,0,3,0,0,0,0,1
0,3,1,0,3,0,0,0,0,1
0,1,3,0,0,3,0,0,0,1
0,0,30,0,1,0,0,0,0,2
0,0,1,0,30,0,1,0,0,3
0,0,3,0,3,0,3,0,3,33
0,0,1,0,34,0,1,0,0,3
0,0,3,0,1,0,30,0,1,3
0,0,33,0,0,0,3,0,0,219
0,0,219,0,219,0,219,0,219,32
# R2INT's new version
0 9,0,9,0,9,0,9,0 11
0 0,9,0,9,0,9,0,9 10
0 25,0,25,0,0,0,0,0 29
29 0,29,0,0,0,0,0,0 13
25 0,13,0,0,0,0,0,0 3
13 0,1,0,13,0,1,0,0 19
0 13,0,1,0,13,0,0,0 19
19 19,19,0,19,19,0,0,0 29
0 0,1,0,25,0,1,0,0 75
0 75,0,1,0,75,0,0,0 29
0 11,0,0,9,0,0,0,0 6
0 1,9,0,6,9,0,0,0 10
0 6,9,0,0,0,0,0,0 11
0 6,0,9,1,0,9,0,0 8
0 6,11,0,0,9,0,0,0 2
1 1,0,1,1,0,0,0,0 3
0 1,3,0,3,1,0,0,0 1
0 0,1,3,2,0,2,3,1 1
3 1,0,0,0,2,0,0,0 1
2 3,0,0,0,0,0,0,0 1
1 1,1,0,1,0,1,0,0 4
4 0,1,0,1,0,1,0,0 1
1 0,1,0,4,0,0,0,0 1
1 0,1,0,1,0,4,0,0 1
0,4,2,1,2,4,0,0,0,4
0,2,0,0,5,0,4,0,0,35
5,0,0,0,0,0,0,0,0,1
0,35,0,1,0,4,0,0,0,5
0,0,35,0,4,0,0,0,0,5
0,4,0,1,0,4,0,0,0,5
0,4,2,0,0,4,0,0,0,5
0,8,200,0,0,0,0,0,0,200
0,0,200,0,200,0,0,0,0,8
0,6,200,0,200,6,0,0,0,200
0,200,6,0,6,200,0,0,0,200
0,6,7,0,30,1,0,0,0,118
6,7,0,118,0,0,0,0,0,118
7,6,118,0,118,6,0,0,0,118
0,118,118,0,0,0,0,0,0,6
0,0,118,118,118,0,0,0,0,7
0,6,7,30,0,118,0,0,0,118
30,0,6,7,6,0,118,0,118,137
7,6,118,137,118,6,0,0,0,137
118,6,7,137,0,0,0,0,0,118
0,137,0,0,6,7,6,0,0,137
0,6,7,0,137,0,0,0,0,118
153,0,0,0,0,0,0,0,0,153
0,137,0,0,0,153,0,0,0,30
0,0,137,0,153,0,0,0,0,1
153,0,1,30,1,0,0,0,0,153
30,1,0,153,0,1,0,0,0,30
30,153,0,0,1,30,1,0,0,154
154,30,0,0,0,0,0,0,0,153
0,87,0,87,0,0,0,0,0,87
0,87,0,87,0,87,0,0,0,87
87,0,87,0,87,0,0,0,0,87
0,0,87,87,87,0,0,0,0,87
87,87,87,0,0,0,0,0,0,87
87,87,0,0,0,0,0,0,0,87
99,99,99,0,0,0,0,0,0,99
99,99,0,99,0,0,0,0,0,99
99,99,99,0,0,99,0,0,0,99
99,99,0,0,0,0,0,0,0,99
0,87,0,0,87,87,87,0,0,87
87,87,0,0,87,0,87,0,0,87
0,87,0,87,0,87,0,87,0,87
0,87,87,87,87,0,0,0,0,87
87,87,87,87,87,87,0,0,0,87
0,0,87,87,87,0,99,0,0,99
87,0,99,0,0,0,0,0,0,87
0,87,0,99,0,87,0,0,0,87
99,0,87,0,87,0,99,0,0,87
99,99,99,0,99,0,0,0,0,99
99,99,99,0,87,0,0,0,0,99
0,99,99,0,87,0,0,0,0,98
99,99,98,0,99,99,0,0,0,99
99,98,0,99,0,0,0,0,0,87
0,87,0,0,0,98,0,0,0,87
0,98,99,0,0,0,0,0,0,87
99,99,99,0,0,87,0,0,0,99
0,0,99,87,0,87,0,87,0,87
0,87,87,87,0,99,0,0,0,99
99,99,0,0,0,87,0,0,0,99
99,99,0,0,87,0,0,0,0,99
0,99,0,0,0,99,0,0,0,99
14,14,0,0,0,0,0,0,0,14
14,14,0,0,0,14,0,0,0,14
14,14,13,0,0,14,0,0,0,14
14,14,2,13,0,14,0,0,0,14
14,14,13,2,0,14,0,0,0,14
14,14,2,0,0,14,0,0,0,14
0,13,14,14,14,0,0,0,0,13
13,2,14,14,14,0,0,0,0,2
14,14,13,0,0,0,0,0,0,14
0,13,14,14,0,0,0,0,0,13
0,14,13,0,0,0,0,0,0,14
14,14,2,13,0,0,0,0,0,14
14,14,0,13,0,14,0,0,0,14
0,2,14,14,14,13,0,0,0,2
14,14,13,0,2,14,0,0,0,14
14,14,0,2,0,14,0,0,0,14
14,0,0,0,0,0,0,0,0,14
14,2,0,14,0,0,0,0,0,14
14,14,13,23,0,14,0,0,0,14
14,14,23,13,0,14,0,0,0,14
14,14,23,0,0,14,0,0,0,14
13,23,14,14,14,0,0,0,0,23
13,23,14,14,0,0,0,0,0,23
14,14,0,0,23,0,0,0,0,14
0,14,0,23,0,14,0,0,0,14
23,0,14,0,14,0,0,0,0,14
14,14,14,0,0,0,0,0,0,14
14,14,0,14,0,0,0,0,0,14
14,14,14,0,0,14,0,0,0,14
14,14,13,0,23,14,0,0,0,14
14,14,0,23,0,14,0,0,0,14
0,23,14,14,14,13,0,0,0,23
0,23,14,0,14,0,0,0,0,23
14,14,14,0,13,14,0,0,0,14
0,13,14,14,14,14,14,0,0,13
14,14,13,14,0,0,0,0,0,14
14,14,14,13,0,14,0,0,0,14
0,2,14,14,14,14,14,13,0,2
14,14,2,0,14,14,0,0,0,14
14,14,2,14,0,0,0,0,0,14
14,14,14,2,0,14,0,0,0,14
0,0,2,13,14,14,14,0,0,13
14,14,2,13,14,14,0,0,0,14
13,2,14,14,14,14,14,0,0,2
14,14,13,2,14,14,0,0,0,14
14,14,14,13,23,14,0,0,0,14
0,0,23,13,14,14,14,0,0,13
13,23,14,14,14,14,14,0,0,23
14,14,23,14,0,0,0,0,0,14
14,14,14,23,0,14,0,0,0,14
14,14,13,23,14,14,0,0,0,14
14,14,23,0,14,14,0,0,0,14
0,23,14,14,14,14,14,13,0,23
0,8,0,8,0,0,0,0,0,2
2,6,0,6,0,0,0,0,0,2
6,2,6,0,0,0,0,0,0,7
0,7,2,0,0,0,0,0,0,6
7,2,7,0,0,0,0,0,0,6
6,6,0,0,0,0,0,0,0,7
6,6,0,0,6,0,0,0,0,7
7,7,0,0,0,0,0,0,0,8
7,7,0,0,7,0,0,0,0,8
0,0,1,0,1,0,6,0,6,7
7,0,0,0,0,0,0,0,0,8
6,6,0,6,0,0,0,0,0,6
6,6,6,0,1,0,0,0,0,6
1,0,1,0,6,0,0,0,0,1
0,1,0,6,0,0,0,0,0,12
6,6,6,0,1,12,0,0,0,6
1,12,6,0,1,0,0,0,0,1
1,1,13,0,6,0,1,0,0,1
0,13,1,1,0,6,0,0,0,2
0,14,1,0,0,2,0,0,0,1
1,2,6,0,1,0,0,0,0,1
6,6,6,0,1,2,0,0,0,6
1,0,1,0,6,0,1,0,0,1
0,8,0,8,0,0,8,0,0,2
0,8,0,2,0,0,0,0,0,2
2,0,8,0,0,0,0,0,0,6
6,2,0,2,0,0,0,0,0,8
0,0,2,0,6,0,0,0,0,8
0,6,2,0,0,2,0,0,0,8
0,0,6,2,6,0,0,0,0,2
6,0,6,0,0,0,0,0,0,6
6,0,6,0,0,0,6,0,0,6
0,15,0,15,0,0,0,0,0,2
0,2,12,0,0,0,0,0,0,15
0,12,2,0,0,0,0,0,0,15
0,12,2,1,2,12,0,0,0,13
0,0,13,0,15,0,0,0,0,12
0,0,15,15,0,2,0,0,13,14
0,2,0,15,0,0,0,0,0,13
15,15,0,0,2,0,0,0,0,13
0,14,13,13,0,0,0,0,0,15
0,12,0,0,13,0,0,0,0,15
0,13,14,0,12,0,12,0,0,15
14,13,13,0,0,0,0,0,0,15
0,0,12,0,12,0,12,0,12,15
# R2INT
6 6,6,0,0,0,0,0,0 8
0 8,6,0,6,8,0,0,0 118
8 6,0,0,0,0,0,0,0 9
0 6,0,9,0,0,0,0,0 18
1 0,9,118,9,0,0,0,0 8
118 9,0,1,0,9,0,0,0 1
9 118,1,0,6,0,0,0,0 96
0 18,96,0,0,0,0,0,0 4
1 96,0,8,0,96,0,0,0 7
0 6,0,4,0,0,7,0,0 8
0 8,0,8,0,8,0,0,0 85
0 85,0,2,6,0,6,2,0 80
0 6,2,0,2,6,0,0,0 2
0 0,7,2,7,0,0,0,0 6
7 2,80,0,7,0,0,0,0 6
0 1,1,1,0,1,0,1,0 8
1 0,1,1,1,0,1,0,0 9
1 1,1,0,1,1,1,0,0 17
1 1,1,1,1,1,1,1,1 212
0 210,0,0,0,210,0,0,0 211
0 0,210,0,210,0,1,0,0 211
#CARuler
0,199,0,199,0,0,0,0,0,2
0,2,190,0,0,0,0,0,0,199
0,190,2,0,0,0,0,0,0,199
0,190,2,190,0,0,0,0,0,3
0,2,0,199,0,0,0,0,0,191
0,2,0,199,199,0,0,0,0,192
199,199,0,0,2,0,0,0,0,191
0,192,191,191,0,0,0,0,0,199
192,191,191,0,0,0,0,0,0,199
0,191,192,0,190,0,190,0,0,199
0,190,0,0,191,0,0,0,0,199
190,191,191,0,0,0,0,0,0,3
0,199,194,0,0,0,0,0,0,194
190,194,0,2,190,0,0,0,0,195
194,190,2,0,0,0,0,0,0,194
0,3,195,0,0,0,0,0,0,1
195,3,195,0,0,194,0,0,0,191
194,195,0,0,0,0,0,0,0,192
192,191,0,0,0,0,0,0,0,191
191,192,0,0,191,0,1,0,0,195
195,191,0,0,195,0,0,0,0,199
191,195,0,0,0,0,0,0,0,194
# R2INT
0 5,1,0,0,0,5,0,0 1
0 5,0,0,5,0,0,0,0 5
0 1,1,5,1,0,0,0,0 6
1 1,0,5,0,0,0,0,0 4
5 1,1,0,0,1,0,0,0 5
0 1,0,0,1,5,1,0,0 4
6 5,4,0,0,0,0,0,0 5
4 0,4,5,6,0,0,0,0 5
0 4,5,4,0,0,0,0,0 5
4 4,4,4,0,0,0,0,0 4
0 5,0,5,0,0,4,0,0 5
0 1,4,4,1,0,0,0,0 5
1 4,4,0,0,0,0,0,0 5
4 4,1,0,0,1,0,0,0 5
4 4,0,1,0,0,0,0,0 5
5 5,5,5,0,1,0,0,0 5
4 5,5,0,0,0,0,0,0 4
5 4,0,5,5,5,4,0,0 5
0 1,1,0,4,4,1,0,0 4
4 4,0,0,0,1,0,0,0 4
4 4,4,4,0,0,1,0,0 4
4 4,0,0,4,0,0,0,0 5
0 0,35,5,5,0,0,0,0 4
0 0,5,5,35,5,5,0,0 4
0 4,4,0,4,4,0,0,0 4
4 4,4,4,4,0,0,0,0 4
4 1,0,0,4,0,0,0,0 4
0 4,0,4,1,0,0,0,0 4
5 1,5,0,0,5,0,0,0 4
0 1,0,0,5,0,0,0,0 1
#CARuler
179,0,179,0,179,0,0,0,0,2
0,2,0,171,0,171,0,0,0,179
0,171,0,2,0,171,0,0,0,179
179,0,178,0,178,0,179,0,179,179
179,0,0,0,0,0,0,0,0,179
0,171,0,0,179,0,1,0,0,178
0,0,179,0,1,0,179,0,0,179
179,0,1,0,179,0,0,0,0,179
2,0,178,0,178,0,179,0,179,179
0,171,0,0,179,0,0,0,0,171
0,0,179,0,1,0,171,0,1,178
0,179,0,178,171,0,0,0,0,179
0,179,0,178,171,0,171,178,0,179
171,178,171,0,0,0,0,0,0,178
0,0,171,0,171,0,171,0,0,178
0,171,171,0,1,171,0,0,0,178
0,172,0,0,177,177,177,0,0,179
0,179,0,171,1,0,1,171,0,177
171,1,0,0,1,0,179,0,0,177
0,0,1,0,1,0,1,0,1,172
0,0,172,0,0,0,1,0,0,173
0,0,173,0,1,0,1,0,0,174
0,1,0,0,178,0,0,0,0,179
0,173,0,0,0,1,0,0,0,176
0,176,174,0,1,0,0,0,0,1
179,1,0,0,176,0,0,0,0,179
0,0,179,0,0,0,176,0,0,171
0,0,162,162,162,0,0,0,0,162
162,162,162,0,0,162,0,0,0,162
162,162,0,162,0,0,0,0,0,162
162,162,162,0,162,0,0,0,0,162
0,162,162,0,162,0,0,0,0,162
162,162,162,0,0,0,0,0,0,162
0,162,0,162,162,0,0,0,0,162
0,162,162,162,0,0,0,0,0,162
162,162,0,162,162,0,0,0,0,162
163,0,0,0,0,0,0,0,0,163
0,0,170,170,170,0,0,0,0,169
170,170,0,0,0,170,0,0,0,2
0,2,0,0,0,163,0,0,0,163
163,163,0,0,0,0,0,0,0,163
163,163,0,0,0,163,0,0,0,163
169,2,0,0,0,0,0,0,0,170
0,169,2,0,0,162,0,0,0,170
0,0,163,0,164,0,0,0,0,163
0,163,0,163,0,163,0,0,0,164
0,0,165,0,163,0,0,0,0,166
166,0,163,0,0,0,0,0,0,162
0,166,0,163,0,166,0,0,0,165
165,162,0,0,0,162,0,0,0,165
0,0,167,0,163,0,0,0,0,162
167,162,0,0,0,0,0,0,0,163
0,163,0,162,0,163,0,162,0,167
162,0,163,0,163,0,0,0,0,162
0,0,162,167,162,0,0,0,0,162
167,162,0,0,0,162,0,0,0,167
0,0,1,0,33,0,1,0,0,34
39,1,1,0,0,0,1,0,0,2
1,39,0,1,0,0,0,0,0,35
0,1,0,39,0,0,0,0,0,130
0,35,130,0,0,0,0,0,0,36
130,35,0,2,0,0,0,0,0,36
2,130,35,0,0,35,0,0,0,36
0,78,0,78,0,0,0,0,0,2
0,79,2,79,0,0,0,0,0,75
73,75,73,0,0,0,0,0,0,76
0,73,75,0,0,1,0,0,0,76
0,0,121,0,121,0,121,0,0,122
0,121,1,0,121,121,0,0,0,118
0,122,0,1,0,0,0,0,0,119
0,122,118,0,0,1,0,0,0,119
0,118,122,0,1,0,0,0,0,119
0,0,1,0,121,0,1,0,0,2
0,1,0,0,119,0,0,0,0,120
0,1,120,0,0,1,0,0,0,119
0,120,1,0,1,0,0,0,0,119
0,1,120,1,0,0,0,0,0,119
0,1,120,0,120,0,0,0,0,119
0,0,120,0,120,0,120,0,120,118
0,120,0,0,0,120,0,0,0,118
119,119,0,0,0,121,0,0,0,119
121,119,0,0,0,0,0,0,0,119
0,119,119,0,0,119,0,0,0,119
0,0,1,118,1,0,121,0,0,97
0,1,118,0,0,0,119,0,0,98
0,97,0,0,0,1,0,0,0,98
97,98,0,0,0,0,0,0,0,98
0,1,97,0,97,98,0,0,0,98
98,0,98,0,0,0,0,0,0,97
98,98,0,0,0,0,0,0,0,97
98,98,0,0,98,0,0,0,0,97
97,0,97,0,0,0,0,0,0,96
96,0,96,0,0,0,0,0,0,105
0,96,0,96,0,0,96,0,0,105
0,96,98,0,0,0,0,0,0,105
105,105,0,0,0,0,0,0,0,105
105,0,105,0,0,0,0,0,0,105
105,105,0,0,105,0,0,0,0,105
0,118,0,0,0,105,0,0,0,104
105,104,0,0,105,0,0,0,0,104
104,0,105,0,0,0,0,0,0,105
105,105,0,0,104,0,0,0,0,104
105,104,0,0,0,0,0,0,0,119
105,0,104,0,0,0,0,0,0,119
104,105,0,0,105,0,0,0,0,119
0,212,1,0,1,212,0,0,0,183
0,1,212,0,212,1,0,0,0,183
183,183,0,0,0,0,0,0,0,183
0,0,183,183,1,0,1,0,0,183
0,1,183,0,0,1,0,0,0,184
184,183,0,0,0,0,0,0,0,184
0,183,184,0,0,0,0,0,0,184
0,183,0,183,0,0,0,0,0,183
0,184,0,184,0,0,0,0,0,185
0,184,0,183,0,0,0,0,0,184
184,0,183,0,184,0,0,0,0,185
0,184,0,184,0,183,0,0,0,2
0,0,185,185,184,0,0,0,0,210
0,184,185,0,0,0,0,0,0,1
0,157,0,157,0,0,0,0,0,2
0,158,2,158,0,0,0,0,0,2
0,159,2,159,0,0,0,0,0,2
0,160,2,160,0,0,0,0,0,2
0,161,2,161,0,0,0,0,0,2
153,2,153,0,0,0,0,0,0,157
0,153,2,0,0,1,0,0,0,157
0,159,0,159,0,0,0,0,0,2
0,160,0,160,0,0,0,0,0,2
0,0,153,0,153,0,153,0,153,161
161,0,153,0,153,0,153,0,153,161
0,6,7,0,0,171,0,0,0,74
0,0,6,7,6,0,171,0,0,74
6,7,74,0,0,0,0,0,0,6
7,6,74,74,0,6,0,0,0,7
0,6,7,74,0,0,0,0,0,79
0,171,74,74,0,0,0,0,0,2
171,74,74,0,0,0,0,0,0,74
2,74,0,0,79,0,0,0,0,75
0,6,79,0,0,0,0,0,0,6
6,79,0,7,0,0,0,0,0,7
7,6,79,0,0,0,0,0,0,6
0,2,74,0,0,0,0,0,0,74
0,79,0,2,0,0,0,0,0,74
0,74,74,74,73,0,0,0,0,3
74,74,74,0,0,0,0,0,0,74
74,74,74,0,0,73,0,0,0,74
74,3,74,0,0,0,0,0,0,1
0,3,74,0,0,0,0,0,0,1
75,74,0,74,0,0,0,0,0,74
0,74,75,0,0,0,0,0,0,74
74,75,74,0,0,0,0,0,0,3
0,0,3,0,0,0,1,0,0,3
1,0,3,0,1,0,1,0,1,171
0,171,0,1,0,0,1,0,0,171
0,171,0,171,0,0,99,0,0,2
0,99,0,0,171,0,0,0,0,74
0,99,99,99,99,0,171,0,0,74
2,74,99,74,0,0,0,0,0,74
0,74,74,74,0,0,0,0,0,3
74,74,74,0,0,0,0,0,0,74
99,99,74,0,0,0,0,0,0,99
99,99,99,74,2,74,0,0,0,99
99,99,74,99,0,0,0,0,0,99
99,99,99,74,0,99,0,0,0,99
99,99,99,0,74,0,0,0,0,99
0,1,0,171,0,0,99,0,0,75
99,99,99,74,75,0,0,0,0,99
75,171,0,74,99,0,0,0,0,74
171,75,74,0,0,0,0,0,0,74
0,75,171,0,0,0,0,0,0,74
0,143,0,143,0,0,0,0,0,2
135,2,135,0,0,0,0,0,0,143
0,135,2,0,2,0,0,0,0,143
0,2,135,0,0,2,0,0,0,143
2,0,143,19,143,0,0,0,0,143
0,2,19,143,143,0,0,0,0,143
143,143,0,0,143,19,2,0,0,143
0,143,19,143,143,0,0,0,143,143
143,143,0,143,0,0,0,0,0,2
0,2,1,0,0,2,0,0,0,2
0,0,135,0,135,0,143,0,143,136
2,0,136,0,0,0,0,0,0,2
0,2,0,136,0,0,0,0,0,135
0,2,0,136,0,2,0,0,0,1
0,135,2,0,0,0,0,0,0,143
0,2,135,0,0,0,135,0,0,143
0,2,1,0,0,0,135,0,0,2
0,135,2,135,0,0,2,0,0,19
0,2,135,0,0,0,0,0,0,137
143,137,0,0,0,0,0,0,0,137
0,2,0,137,143,0,0,0,0,138
138,0,137,0,0,0,0,0,0,139
0,135,0,137,0,0,0,0,0,139
0,137,0,138,0,0,0,0,0,140
0,135,0,137,0,138,0,0,0,140
0,135,0,137,0,135,0,0,0,139
0,139,0,139,0,0,0,0,0,143
139,0,139,0,140,0,0,0,0,143
139,140,0,140,0,0,0,0,0,143
140,139,140,0,139,0,0,0,0,143
2,19,143,0,0,0,0,0,0,143
0,205,0,205,0,0,0,0,0,2
0,206,2,206,0,0,0,0,0,2
0,207,2,207,0,0,0,0,0,2
0,208,2,208,0,0,0,0,0,2
0,209,2,209,0,0,0,0,0,2
200,2,200,0,0,0,0,0,0,45
0,200,2,0,0,1,0,0,0,45
0,45,0,45,0,0,0,0,0,2
0,40,2,0,0,0,0,0,0,205
0,2,40,0,0,0,0,0,0,205
0,211,0,211,0,0,0,0,0,2
0,212,2,212,0,0,0,0,0,2
0,213,2,213,0,0,0,0,0,2
0,214,2,214,0,0,0,0,0,2
0,215,2,215,0,0,0,0,0,2
0,216,2,216,0,0,0,0,0,2
0,217,2,217,0,0,0,0,0,2
0,218,2,218,0,0,0,0,0,2
0,219,2,219,0,0,0,0,0,2
210,2,210,0,0,0,0,0,0,211
0,210,2,0,0,1,0,0,0,211
0,218,0,218,0,0,0,0,0,200
0,219,200,219,0,0,0,0,0,200
210,200,210,0,0,0,0,0,0,218
0,210,200,0,0,210,0,0,0,218
0,10,0,10,0,0,0,0,0,2
0,11,2,11,0,0,0,0,0,2
9,2,9,0,0,0,0,0,0,10
0,9,2,0,0,9,0,0,0,10
0,189,0,189,0,0,0,0,0,2
2,180,0,180,0,0,0,0,0,2
2,181,0,181,0,0,0,0,0,2
2,182,0,182,0,0,0,0,0,2
2,183,0,183,0,0,0,0,0,2
2,184,0,184,0,0,0,0,0,2
2,185,0,185,0,0,0,0,0,2
2,186,0,186,0,0,0,0,0,2
2,187,0,187,0,0,0,0,0,2
180,2,180,0,0,0,0,0,0,181
181,2,181,0,0,0,0,0,0,182
182,2,182,0,0,0,0,0,0,183
183,2,183,0,0,0,0,0,0,184
184,2,184,0,0,0,0,0,0,185
185,2,185,0,0,0,0,0,0,186
186,2,186,0,0,0,0,0,0,187
187,2,187,0,0,0,0,0,0,188
188,2,188,0,0,0,0,0,0,180
0,188,2,0,0,0,0,0,0,180
180,180,0,0,0,0,0,0,0,181
181,181,0,0,0,0,0,0,0,182
182,182,0,0,0,0,0,0,0,186
186,186,0,0,0,0,0,0,0,187
187,187,0,0,0,0,0,0,0,188
188,188,0,0,0,0,0,0,0,189
180,180,0,0,180,0,0,0,0,181
181,181,0,0,181,0,0,0,0,182
182,182,0,0,182,0,0,0,0,186
186,186,0,0,186,0,0,0,0,187
187,187,0,0,187,0,0,0,0,188
188,188,0,0,188,0,0,0,0,189
21,21,0,0,0,21,0,0,0,21
21,21,0,0,0,0,0,0,0,21
21,0,21,0,21,0,0,0,0,21
21,21,0,21,0,21,0,0,0,21
0,0,21,0,21,0,0,0,0,21
0,21,21,21,0,0,0,0,0,21
21,21,0,21,21,0,0,0,0,21
21,21,21,0,0,21,0,0,0,21
0,0,21,21,21,21,21,21,21,21
0,21,21,21,21,21,21,0,0,21
21,21,21,0,21,0,0,0,0,21
21,21,21,0,21,21,0,0,0,21
21,21,0,0,21,0,0,0,0,21
0,21,0,21,21,21,21,21,0,21
0,70,0,70,0,0,0,0,0,2
0,71,2,71,0,0,0,0,0,2
0,72,2,72,0,0,0,0,0,2
66,0,66,2,0,2,66,0,0,70
66,2,66,0,0,0,0,0,0,70
0,66,2,0,0,1,0,0,0,70
0,66,2,0,0,0,0,0,0,70
0,3,0,0,5,0,0,0,0,3
0,5,0,0,3,0,0,0,0,5
1,0,1,3,5,0,0,0,0,1
0,1,5,3,1,0,0,0,0,1
3,0,1,5,0,1,0,1,0,30
5,0,1,3,0,1,0,1,0,30
0,9,118,0,9,0,0,0,0,119
0,118,9,0,0,9,0,0,0,9
0,118,9,0,0,0,0,0,0,119
0,9,118,0,0,0,0,0,0,9
0,119,9,0,0,0,0,0,0,9
0,0,119,0,9,0,0,0,0,9
0,120,9,0,0,0,0,0,0,9
0,121,9,0,0,0,0,0,0,9
0,122,9,0,0,0,0,0,0,9
0,123,9,0,0,0,0,0,0,9
0,124,9,0,0,0,0,0,0,9
0,125,9,0,0,0,0,0,0,9
0,0,120,0,9,0,0,0,0,9
0,0,121,0,9,0,0,0,0,9
0,0,122,0,9,0,0,0,0,9
0,0,123,0,9,0,0,0,0,9
0,0,124,0,9,0,0,0,0,9
0,0,125,0,9,0,0,0,0,9
0,0,1,129,1,0,0,0,0,129
1,0,1,129,1,0,0,0,0,147
129,1,0,0,0,1,0,0,0,1
0,0,146,0,146,0,0,0,0,146
0,0,146,0,146,0,146,0,146,146
0,0,147,0,146,0,0,0,0,146
147,0,0,0,0,0,0,0,0,148
0,0,148,0,146,0,0,0,0,146
148,0,m,0,n,0,o,0,p,145
0,0,145,0,146,0,146,0,0,146
0,0,147,0,148,0,0,0,0,146
0,0,145,0,146,0,0,0,0,145
0,0,145,0,147,0,0,0,0,145
0,0,145,0,148,0,0,0,0,146
0,0,145,0,145,0,146,0,146,146
0,0,145,0,145,0,0,0,0,146
0,0,145,0,145,0,145,0,145,146
0,0,146,0,0,0,146,0,0,145
14,153,0,0,0,14,0,0,0,14
14,153,0,0,0,153,0,0,0,14
153,153,0,0,0,153,0,0,0,153
153,153,0,0,0,0,0,0,0,153
153,153,0,0,0,14,0,0,0,153
153,14,0,0,0,14,0,0,0,153
153,14,0,0,0,0,0,0,0,153
14,153,0,0,0,0,0,0,0,14
0,14,0,0,126,135,126,0,0,41
0,153,0,0,126,135,126,0,0,42
14,14,0,0,0,41,0,0,0,14
14,153,0,0,0,41,0,0,0,14
153,14,0,0,0,42,0,0,0,153
153,153,0,0,0,42,0,0,0,153
126,0,41,0,0,0,0,0,0,126
126,0,42,0,0,0,0,0,0,126
0,126,0,41,14,0,0,0,0,65
0,126,0,42,153,0,0,0,0,58
14,14,0,0,65,0,0,0,0,14
14,153,0,0,65,0,0,0,0,14
153,14,0,0,58,0,0,0,0,153
153,153,0,0,58,0,0,0,0,153
0,126,65,0,0,0,0,0,0,127
0,126,65,0,0,126,0,0,0,126
126,65,0,0,0,0,0,0,0,40
0,126,58,0,0,0,0,0,0,127
0,126,58,0,0,126,0,0,0,126
126,58,0,0,0,0,0,0,0,40
0,14,14,0,0,59,0,0,0,59
0,0,14,14,14,0,59,0,0,7
q,r,u,t,0,s,0,0,0,q
q,r,t,0,0,s,0,0,0,q
q,r,t,u,0,0,0,0,0,q
q,r,t,u,0,s,0,0,0,q
q,u,0,0,0,0,0,0,0,q
q,u,0,0,0,r,0,0,0,q
0,59,7,0,0,0,0,0,0,14
0,59,6,0,0,0,0,0,0,153
0,t,59,0,0,0,0,0,0,59
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q,r,0,0,u,0,0,0,0,q
0,0,q,r,s,0,v,59,0,59
0,0,q,14,r,0,u,0,0,7
0,0,q,153,r,0,u,0,0,6
q,r,u,0,0,0,0,0,0,q
0,q,0,59,7,0,0,0,0,14
0,q,0,59,6,0,0,0,0,153
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q,r,t,0,0,0,0,0,0,q
q,r,0,u,0,s,0,0,0,q
0,14,q,0,u,0,0,0,0,25
q,r,u,t,0,0,0,0,0,q
0,153,q,0,u,0,0,0,0,26
0,q,0,59,25,0,0,0,0,14
0,q,0,59,26,0,0,0,0,153
127,40,0,0,0,0,0,0,0,202
0,0,127,40,126,0,0,0,0,201
0,127,40,0,0,0,0,0,0,40
201,40,202,0,0,0,0,0,0,126
40,201,0,202,0,0,0,0,0,40
202,40,201,0,0,0,0,0,0,126
0,40,202,0,0,0,0,0,0,126
126,40,126,0,0,0,0,0,0,126
0,0,126,40,126,0,0,0,0,54
126,54,126,0,0,0,0,0,0,126
0,0,126,54,126,0,0,0,0,110
0,126,0,54,0,126,0,0,0,126
0,126,0,54,0,0,0,0,0,126
54,0,126,0,126,0,0,0,0,54
0,126,0,110,0,126,0,0,0,126
110,0,126,0,126,0,0,0,0,110
0,126,0,110,0,0,0,0,0,126
0,126,110,0,0,0,0,0,0,126
110,126,0,126,0,126,0,0,0,135
0,14,153,0,0,59,0,0,0,59
0,q,r,0,0,52,0,0,0,52
0,52,t,0,0,0,0,0,0,14
0,6,52,0,0,0,0,0,0,52
0,7,52,0,0,0,0,0,0,52
0,0,q,153,r,0,s,52,0,52
0,q,0,52,t,0,0,0,0,153
0,0,q,14,r,0,s,52,0,22
0,q,6,52,t,0,0,0,0,14
q,r,t,u,6,s,0,0,0,q
0,26,52,0,0,0,0,0,0,52
0,0,153,0,52,0,0,0,0,26
0,153,q,0,r,52,0,0,0,52
q,r,0,u,t,0,0,0,0,q
26,52,153,0,0,0,0,0,0,27
q,r,0,0,27,0,0,0,0,q
q,52,27,0,0,r,0,0,0,q
0,52,27,0,0,0,0,0,0,153
52,27,0,q,0,0,0,0,0,14
0,q,0,22,7,0,0,0,0,14
0,7,22,0,0,0,0,0,0,21
0,0,q,14,r,0,s,21,0,21
21,q,0,0,0,0,0,0,0,22
q,22,21,0,0,r,0,0,0,q
22,q,0,21,t,0,0,0,0,153
0,t,21,22,0,0,0,0,0,20
0,0,q,14,14,0,r,20,0,20
0,0,q,14,153,0,r,20,0,21
0,q,0,20,t,0,0,0,0,14
0,t,20,0,0,0,0,0,0,20
0,0,q,153,14,0,14,20,0,21
0,q,0,21,t,0,0,0,0,153
0,6,21,0,0,0,0,0,0,21
0,0,q,153,r,0,s,21,0,52
q,22,52,0,0,r,0,0,0,q
22,q,0,52,t,0,0,0,0,14
0,6,52,22,0,0,0,0,0,52
0,q,0,22,26,0,0,0,0,14
0,26,22,0,0,0,0,0,0,21
0,153,q,0,r,20,0,0,0,161
q,r,0,161,0,0,0,0,0,q
q,r,161,0,0,s,0,0,0,q
q,r,0,0,161,0,0,0,0,q
0,161,0,q,0,0,0,0,0,153
0,6,22,0,0,0,0,0,0,21
0,q,0,22,6,0,0,0,0,14
0,26,52,22,0,0,0,0,0,52
0,0,q,153,14,0,r,20,0,21
0,7,21,0,0,0,0,0,0,21
0,153,q,0,r,21,0,0,0,26
q,r,0,26,0,0,0,0,0,q
q,22,26,0,0,r,0,0,0,q
0,0,q,26,22,0,0,0,0,27
0,22,26,0,0,0,0,0,0,52
22,26,0,q,0,0,0,0,0,14
0,7,52,22,0,0,0,0,0,52
0,59,26,0,0,0,0,0,0,63
63,0,0,0,0,0,0,0,0,63
0,26,21,0,0,0,0,0,0,52
5,4,5,4,0,0,0,0,0,6
4,5,4,5,0,0,5,0,0,5
0,5,0,4,5,0,0,0,0,7
0,6,5,6,0,0,0,0,0,8
0,4,0,6,0,0,0,0,0,2
7,4,0,0,6,5,7,0,0,8
4,7,0,0,0,0,0,0,0,8
0,10,0,10,0,10,0,10,0,190
0,10,0,10,197,0,0,0,0,199
10,197,0,0,10,0,10,0,0,9
0,0,199,9,199,0,0,0,0,190
0,198,11,199,9,0,0,0,0,191
0,190,0,2,11,0,11,2,0,192
2,11,0,11,0,0,190,0,0,200
2,9,0,9,0,0,200,0,0,200
0,1,0,0,200,192,200,0,0,10
200,192,0,0,2,0,0,0,0,10
0,0,200,192,200,0,0,0,0,10
0,0,191,190,191,0,0,0,0,197
191,1,0,190,0,0,0,0,0,197
0,1,0,1,191,190,191,1,0,197
0,0,10,200,0,10,0,10,0,10
0,1,191,0,0,1,0,0,0,200
0,0,1,197,0,197,0,200,0,201
0,201,0,0,0,201,0,0,0,201
0,201,0,0,198,0,0,0,0,190
0,190,9,199,11,0,0,10,0,202
190,0,199,9,199,0,10,0,10,190
201,0,190,0,190,0,0,0,0,63
190,191,190,0,201,0,0,0,0,63
190,191,190,0,190,191,0,0,0,63
0,0,202,190,202,0,0,0,0,62
202,190,0,0,0,0,0,0,0,62
0,0,191,190,191,0,202,190,202,62
62,0,62,0,62,0,0,0,0,10
63,0,63,0,63,0,0,0,0,197
62,63,0,0,62,0,62,0,0,10
63,62,0,0,63,0,63,0,0,197
0,19,34,0,1,1,0,0,0,16
0,0,16,0,0,0,3,0,0,30
0,30,1,0,0,16,0,0,0,30
0,0,30,0,30,0,16,0,16,25
25,30,0,1,0,30,0,0,0,17
1,0,30,25,30,0,0,0,0,32
70,88,0,0,0,88,0,0,0,70
0,89,0,0,70,0,0,0,0,69
0,69,90,0,90,69,0,0,0,88
0,0,69,0,69,0,69,0,69,70
0,0,1,0,1,0,88,0,0,89
0,0,88,0,1,0,91,0,0,89
164,172,0,0,0,0,0,0,0,171
171,0,165,0,165,0,0,0,0,46
0,171,0,0,173,0,173,0,0,200
46,200,0,0,0,0,0,0,0,201
0,46,0,0,0,1,0,0,0,46
46,201,0,0,0,0,0,0,0,202
201,46,0,0,0,0,0,0,0,46
46,202,0,0,0,0,0,0,0,172
202,46,0,0,0,0,0,0,0,164
0,115,0,115,0,0,0,0,0,102
116,102,116,0,0,0,0,0,0,102
117,0,102,0,117,0,0,0,0,103
0,1,0,103,0,0,0,0,0,115
103,0,103,0,110,0,1,0,0,115
0,116,0,107,107,0,0,0,0,102
0,102,117,0,0,108,0,0,0,103
0,103,0,0,1,0,109,0,0,104
0,0,104,0,104,0,1,0,1,105
0,104,0,0,0,104,0,0,0,111
105,111,0,0,0,0,0,0,0,105
111,105,0,0,0,0,0,0,0,111
0,105,111,0,0,0,0,0,0,112
0,0,112,105,112,0,0,0,0,107
105,112,0,111,0,112,0,0,0,107
0,112,105,111,0,0,0,0,0,116
0,102,0,114,0,0,0,0,0,103
0,0,115,103,0,103,1,0,1,103
103,115,0,0,103,0,0,0,0,104
104,103,0,0,0,0,0,0,0,103
0,116,0,0,104,0,0,0,0,103
103,117,0,0,103,0,0,0,0,104
0,103,0,103,117,0,0,0,0,106
106,104,0,0,0,0,0,0,0,113
0,106,104,0,0,110,0,0,0,113
0,104,106,0,110,0,1,0,0,109
106,0,117,117,117,0,0,0,0,106
117,117,0,106,0,117,0,0,0,106
0,0,117,117,117,0,0,0,0,110
106,106,0,0,0,0,0,0,0,106
0,106,106,0,0,110,0,0,0,111
0,0,110,0,106,0,0,0,0,112
112,111,106,0,0,0,0,0,0,112
0,112,111,106,111,112,0,0,0,103
111,106,0,112,0,0,0,0,0,103
112,103,0,103,0,0,0,0,0,104
0,112,103,0,0,0,0,0,0,112
112,104,112,0,0,0,0,0,0,112
0,112,104,112,0,0,0,0,0,105
112,105,112,0,0,0,0,0,0,112
105,112,0,112,0,0,0,0,0,102
0,105,112,0,0,0,0,0,0,111
112,0,112,102,111,0,0,0,0,1
111,0,112,102,111,0,0,0,0,1
0,111,102,111,0,0,0,0,0,3
110,106,0,0,0,0,0,0,0,102
0,110,106,0,0,110,0,0,0,112
0,0,112,102,112,0,0,0,0,102
112,102,0,0,0,0,0,0,0,112
0,102,0,112,0,0,0,0,0,112
0,112,0,102,0,112,0,0,0,112
102,0,112,0,112,0,0,0,0,100
0,0,112,100,112,0,0,0,0,100
112,100,112,0,0,0,0,0,0,102
0,102,0,100,0,102,0,0,0,106
100,0,102,0,102,0,0,0,0,117
0,100,0,102,0,0,0,0,0,117
0,107,0,107,0,0,0,0,0,116
0,117,0,1,0,0,0,0,0,2
0,109,0,109,0,0,0,0,0,110
0,102,110,0,0,1,0,0,0,116
102,110,102,0,0,0,0,0,0,107
0,149,149,0,149,149,0,0,0,150
0,1,150,0,0,150,0,0,0,57
0,151,151,0,0,0,57,0,0,57
0,57,1,0,151,0,151,0,0,57
0,1,57,0,0,151,0,0,0,144
144,57,0,0,0,1,0,0,0,58
0,57,57,0,1,0,0,0,0,56
0,0,1,144,57,0,1,0,0,149
149,58,0,1,0,0,0,146,0,149
1,149,58,0,0,0,0,0,0,149
0,1,0,0,144,57,57,0,0,146
0,56,146,0,146,56,0,0,0,149
0,0,56,146,149,0,149,146,56,149
57,57,0,0,0,0,0,0,0,2
0,149,58,0,0,0,0,0,0,58
0,150,58,0,0,0,0,0,0,58
150,58,0,0,150,0,0,0,0,56
0,151,58,0,0,0,0,0,0,58
0,152,58,0,0,0,0,0,0,57
0,152,0,152,0,0,0,0,0,55
152,58,0,0,152,0,0,0,0,52
0,52,57,0,0,0,0,0,0,58
0,57,52,0,0,0,0,0,0,149
0,57,144,0,0,0,0,0,0,149
0,144,57,0,0,0,0,0,0,149
58,53,0,0,0,0,0,0,0,145
52,0,145,0,0,0,0,0,0,54
0,52,0,145,0,52,0,0,0,146
145,0,52,0,52,0,0,0,0,147
0,0,54,146,54,0,0,0,0,149
146,54,0,147,0,54,0,0,0,53
53,149,0,0,0,0,0,0,0,55
0,150,0,0,55,0,0,0,0,148
0,151,148,0,0,151,0,0,0,148
0,148,151,0,151,0,1,0,0,148
148,148,0,0,0,0,0,0,0,148
148,148,0,0,0,1,0,0,0,56
0,148,148,0,0,1,0,0,0,56
0,148,56,0,56,148,0,0,0,53
0,56,148,0,148,56,0,0,0,58
54,54,54,54,0,0,0,0,0,54
54,0,54,0,144,0,0,0,0,54
0,54,0,54,0,0,0,0,0,54
0,54,0,54,0,144,0,0,0,54
0,54,0,144,0,0,0,0,0,144
0,0,54,54,144,0,0,0,0,54
144,54,54,0,0,0,0,0,0,144
54,54,54,0,0,0,0,0,0,54
0,144,54,0,54,0,0,0,0,150
0,0,144,54,54,0,54,54,0,55
0,144,150,0,0,0,0,0,0,144
144,150,55,0,0,0,0,0,0,54
150,144,0,55,54,0,0,0,0,54
0,144,150,55,0,54,0,0,0,54
0,150,55,54,54,0,0,0,0,56
0,151,56,0,0,0,0,0,0,56
151,56,54,0,0,0,0,0,0,52
0,56,152,0,0,0,0,0,0,56
0,152,56,0,0,0,0,0,0,55
152,56,52,0,0,0,0,0,0,54
56,152,0,52,0,0,0,0,0,57
0,56,57,0,0,0,0,0,0,54
0,57,56,0,0,0,0,0,0,54
56,57,54,55,0,0,0,0,0,54
57,54,55,56,0,0,0,0,0,54
150,58,150,0,0,0,0,0,0,53
151,58,53,0,0,0,0,0,0,2
152,58,2,0,0,0,0,0,0,2
144,57,2,0,0,0,0,0,0,2
57,144,0,2,0,0,0,0,0,53
0,2,149,0,0,0,0,0,0,55
0,149,2,0,0,0,0,0,0,55
2,149,149,53,0,0,0,0,0,56
55,55,56,0,0,150,0,0,0,55
55,55,0,56,0,0,0,0,0,55
56,55,55,0,0,0,0,0,0,56
55,55,56,0,0,0,0,0,0,57
55,56,0,57,0,0,0,0,0,53
57,55,56,0,0,0,0,0,0,52
56,55,57,0,0,0,0,0,0,56
53,56,0,52,0,0,0,0,0,150
56,53,52,0,0,0,0,0,0,150
52,53,56,0,0,0,0,0,0,58
0,52,53,0,0,0,0,0,0,150
94,94,0,0,0,94,0,0,0,94
94,94,0,0,96,0,0,0,0,94
96,0,94,0,94,0,0,0,0,96
94,94,0,0,0,0,0,0,0,94
0,96,0,94,94,0,94,94,0,95
94,94,95,0,0,94,0,0,0,94
94,94,0,0,0,123,0,0,0,118
94,94,0,95,96,0,0,0,0,94
96,0,94,95,94,0,0,0,0,95
0,96,95,94,0,0,0,0,0,94
94,95,0,94,0,0,0,0,0,94
0,0,94,95,94,0,0,0,0,96
0,94,0,0,118,0,0,0,0,123
94,94,95,0,0,0,0,0,0,94
0,94,95,0,96,0,0,0,0,94
94,95,0,0,0,0,0,0,0,94
0,118,0,0,96,0,0,0,0,100
0,96,0,0,118,0,0,0,0,99
94,94,0,0,0,99,0,0,0,94
100,99,0,0,0,0,0,0,0,99
0,0,94,99,100,0,0,0,0,96
94,94,95,0,0,0,96,0,0,94
0,99,0,96,0,0,0,0,0,97
99,0,96,0,0,0,0,0,0,99
96,0,94,0,99,0,0,0,0,96
99,97,96,0,0,99,0,0,0,99
99,99,0,0,0,99,0,0,0,98
98,99,0,0,0,99,0,0,0,97
99,98,0,0,0,0,0,0,0,99
99,97,0,0,0,0,0,0,0,96
97,99,0,0,0,99,0,0,0,99
0,96,99,0,0,94,0,0,0,123
0,119,0,119,0,0,0,0,0,100
0,119,100,0,0,0,0,0,0,100
0,120,100,0,0,0,0,0,0,100
120,100,0,100,120,0,0,0,0,100
100,0,100,120,0,120,100,0,0,9
0,121,100,0,0,0,0,0,0,100
9,100,0,100,0,0,0,0,0,11
0,122,100,0,0,0,0,0,0,100
0,123,100,0,0,0,0,0,0,100
0,124,100,0,0,0,0,0,0,100
0,125,100,0,0,0,0,0,0,100
100,118,0,0,0,0,0,0,0,100
118,100,0,0,118,0,0,0,0,119
122,122,1,1,0,0,0,0,0,100
1,122,122,1,0,0,0,0,0,95
95,95,100,100,0,0,0,0,0,95
0,1,0,100,100,0,0,0,0,100
0,1,0,100,95,0,0,0,0,95
0,95,0,95,95,0,100,100,0,95
95,0,100,0,95,0,0,0,0,95
0,95,0,95,0,0,0,0,0,95
0,100,0,95,0,0,0,0,0,100
100,95,95,0,0,0,0,0,0,99
95,95,95,0,0,0,0,0,0,95
0,0,95,95,100,0,0,0,0,95
95,0,99,0,95,0,0,0,0,95
0,99,0,95,0,95,0,0,0,95
0,99,0,95,0,0,0,0,0,98
98,95,95,0,0,0,0,0,0,98
0,0,95,95,98,0,0,0,0,95
0,98,0,95,0,0,0,0,0,97
95,0,98,0,95,0,0,0,0,95
0,98,0,95,0,95,0,0,0,95
97,95,95,0,0,0,0,0,0,97
0,0,95,95,97,0,0,0,0,95
0,97,0,95,0,95,0,0,0,94
95,0,97,0,95,0,0,0,0,98
0,97,0,95,0,0,0,0,0,118
0,118,98,0,0,0,0,0,0,94
0,0,118,98,95,0,0,0,0,1
94,0,95,98,118,0,0,0,0,1
0,94,98,118,0,0,0,0,0,119
0,0,119,0,94,0,0,0,0,1
0,1,119,0,94,1,0,0,0,1
0,95,1,0,1,0,1,0,0,1
0,0,101,125,101,0,0,0,0,140
140,0,0,0,0,0,0,0,0,135
0,0,94,0,94,0,140,0,140,126
0,126,0,135,0,126,0,135,0,100
126,135,100,0,0,0,0,0,0,126
100,0,126,135,126,0,126,135,126,100
0,100,0,126,0,135,0,126,0,135
100,0,126,0,126,0,126,0,126,100
100,135,0,0,0,135,0,0,0,100
0,0,135,100,135,0,0,0,0,139
139,100,0,0,0,0,0,0,0,100
100,139,0,0,0,139,0,0,0,139
100,139,0,0,0,0,0,0,0,118
139,100,0,0,0,100,0,0,0,139
139,118,0,0,0,118,0,0,0,118
118,139,0,0,0,0,0,0,0,139
118,139,0,0,0,139,0,0,0,125
0,0,139,118,139,0,0,0,0,101
0,58,0,0,0,58,0,0,0,149
0,52,0,0,0,52,0,0,0,58
0,0,1,149,1,0,52,0,52,53
58,0,58,0,0,0,0,0,0,2
58,0,58,0,58,0,0,0,0,2
0,2,0,2,0,52,0,52,0,35
0,0,35,0,35,0,35,0,35,58
52,1,0,0,2,0,0,0,0,53
0,2,0,52,1,0,1,1,0,94
2,0,1,0,2,0,52,0,52,95
0,35,95,0,95,35,0,0,0,149
0,0,35,95,94,0,94,95,35,149
94,95,0,53,0,0,0,0,0,149
0,94,53,0,0,0,0,0,0,149
0,99,99,0,0,97,0,0,0,100
100,99,98,0,0,0,0,0,0,99
99,100,0,98,0,0,0,0,0,99
98,99,100,0,0,99,0,0,0,99
0,100,0,0,0,96,0,0,0,99
99,99,100,0,0,0,0,0,0,99
99,100,0,99,0,0,0,0,0,99
100,99,99,0,0,0,0,0,0,99
0,9,96,18,0,0,0,0,0,4
1,8,0,96,9,0,9,96,0,7
0,119,66,119,0,0,0,0,0,100
0,0,100,118,0,118,100,0,0,66
0,32,0,14,0,32,0,0,0,14
0,14,0,32,0,32,0,32,0,14
14,1,0,0,14,0,14,0,0,14
0,33,0,33,0,0,14,0,0,15
0,34,0,34,0,0,15,0,0,15
0,0,14,0,14,0,3,0,3,210
14,0,210,0,210,0,0,0,0,14
0,210,0,14,0,0,0,0,0,210
210,14,0,0,0,0,0,0,0,32
0,0,210,14,210,0,0,0,0,32
0,0,210,14,210,0,210,14,210,14
0,200,0,124,0,124,0,124,0,200
0,7,0,200,0,124,0,0,0,6
0,200,0,0,125,0,125,0,0,201
200,0,6,0,6,0,0,0,0,200
0,6,0,200,0,6,0,0,0,7
0,125,0,125,0,0,200,0,0,202
6,0,200,0,0,0,0,0,0,118
0,0,118,7,118,0,0,0,0,7
118,7,200,0,0,0,0,0,0,7
200,0,118,7,118,0,202,201,202,200
202,201,200,0,0,0,0,0,0,124
0,0,202,201,202,0,0,1,0,124
0,145,0,0,168,168,168,0,0,145
0,0,169,0,169,0,145,0,0,144
1,0,144,0,144,0,0,0,0,162
0,0,170,0,1,0,144,0,0,144
0,0,144,0,162,0,0,0,0,56
0,0,162,0,144,0,144,0,0,59
0,0,1,0,162,0,162,0,144,66
0,56,0,0,0,59,0,0,0,56
0,0,56,0,56,0,59,0,59,67
0,0,66,0,56,0,59,0,0,126
0,0,56,67,56,0,0,0,0,128
0,0,126,56,67,0,67,56,0,98
0,0,56,67,56,0,56,67,56,190
56,67,0,0,0,126,0,0,0,144
0,0,126,56,67,0,0,0,0,26
190,98,144,0,144,98,0,0,0,168
0,190,98,144,26,128,26,144,98,168
0,0,26,128,26,0,0,0,0,145
144,98,190,0,128,26,0,0,0,168
0,28,0,28,0,28,0,28,0,2
0,0,28,0,2,0,0,0,0,2
0,2,0,0,2,0,29,0,0,73
0,2,0,0,29,0,29,0,0,87
13,0,13,0,25,0,1,0,87,153
87,0,73,0,73,0,13,0,13,88
0,73,0,87,0,73,0,0,0,140
73,0,13,0,87,0,0,0,0,74
0,87,0,13,0,1,0,13,0,141
74,140,88,0,0,0,0,0,0,54
153,141,88,0,0,0,0,0,0,54
88,0,74,140,74,0,153,141,153,2
0,0,153,141,153,0,0,0,0,74
0,0,74,140,74,0,0,0,0,20
74,0,54,0,54,0,0,0,0,28
54,0,74,0,2,0,0,0,0,28
2,0,54,0,54,0,54,0,54,28
54,0,2,0,20,0,0,0,0,2
20,0,54,0,54,0,0,0,0,2
111,113,111,0,0,210,0,0,0,219
0,0,210,111,113,111,113,111,210,211
0,219,211,0,0,0,114,0,0,219
0,0,115,0,115,0,219,0,219,39
0,0,219,0,115,0,115,0,115,219
0,0,1,0,39,0,219,0,0,153
0,0,219,0,1,0,116,0,1,219
0,0,1,0,1,0,39,0,219,38
0,0,153,0,38,0,219,0,0,102
0,0,38,0,38,0,153,0,153,103
103,0,153,0,153,0,0,0,0,67
0,103,0,153,0,102,0,0,0,210
153,0,103,0,102,0,0,0,0,153
0,0,210,67,210,0,0,0,0,111
0,210,67,0,0,0,0,0,0,113
210,67,0,153,0,0,0,0,0,111
153,210,67,0,0,0,0,0,0,210
130,0,25,0,0,0,0,0,0,130
25,25,0,0,130,0,0,0,0,25
0,130,0,25,0,0,0,0,0,109
109,130,0,25,0,0,0,0,0,26
0,109,130,0,0,0,0,0,0,126
0,130,109,0,0,0,0,0,0,12
0,0,12,126,102,0,0,0,0,130
102,126,26,0,0,0,0,0,0,25
0,26,126,102,0,0,0,0,0,25
0,97,92,92,0,0,0,0,0,99
0,93,99,0,99,93,0,0,0,100
0,99,93,0,93,99,0,0,0,87
87,100,0,0,0,0,0,0,0,92
100,1,0,0,0,87,0,0,0,92
0,1,100,0,0,87,0,0,0,97
0,0,87,100,1,0,87,0,0,97

#default
all,a,b,c,d,e,f,g,h,0

Rule:KnightPlusCamel R2INT7v4

2025-01-21T03:06:23Z

CARuler:

@RULE KnightPlusCamel_R2INT7v4
#KnightPlusCamel was originally created by CARuler.
#This second 7-state version, created by R2INT, is a variant of the original 8-state rule.
#The v2 update adds new still lives, a new p64 OMS, a new camelship, a p7 gun, and a p17 gun.
#The v3 update adds some stable circuitry.
#The v4 update adds a 2-cell c/2o.

@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4,5,6}
var a2 = a1
var a3 = a2
var a4 = a3
var a5 = a4
var a6 = a5
var a7 = a6
var a8 = a7
var l1 = {1,2,3,4,5,6}
var d = {1,5} # Frontends of the spaceships when moving diagonally
var o = {2,3,6} # Frontends of the spaceships when moving orthogonally
var o2 = o
# Camelship
0 0,1,0,0,0,0,0,0 2
0 2,4,0,0,0,0,0,0 3
0 3,4,0,0,0,0,0,0 1
# Knightship
0 0,5,0,0,0,0,0,0 6
0 6,4,0,0,0,0,0,0 5
# Border
0 d,4,0,0,0,0,0,0 4
0 0,4,0,d,0,0,0,0 4
0 4,o,0,0,0,0,0,0 4
0 o,4,0,0,4,0,0,0 4
# Transitions to stop the replicators
0 o,4,0,4,o,0,0,0 4
0 0,5,0,5,0,0,0,0 4
0 0,1,0,1,0,0,0,0 4
0 3,4,0,1,0,0,0,0 4
# Some small oscillators
0 0,2,0,2,0,2,0,2 1
0 0,6,0,6,0,6,0,6 5
3 0,3,3,3,0,0,0,0 3
0 3,0,0,2,0,2,0,0 1
1 1,1,1,0,0,0,0,0 1
1 1,1,1,0,0,2,0,0 2
2 2,2,2,0,0,0,0,0 3
3 3,3,3,0,0,0,0,0 5
5 5,5,5,0,0,0,0,0 5
5 5,5,5,0,0,6,0,0 6
6 6,6,6,0,0,0,0,0 1
2 1,1,1,0,0,0,0,0 2
1 1,1,1,1,1,1,1,2 1
6 5,5,5,0,0,0,0,0 6
5 5,5,5,5,5,5,5,6 5
0 1,0,1,0,1,0,0,0 4
0 4,4,0,2,0,2,0,0 5
0 4,0,0,2,0,2,0,0 5
0 6,0,6,0,1,0,0,0 1
0 1,0,4,0,1,0,0,0 1
0 4,0,4,0,0,0,0,0 4
0 4,4,4,4,0,0,0,0 4
4 4,0,4,0,4,4,0,0 4
0 4,0,4,0,4,0,0,0 4
0 4,0,4,0,4,0,4,0 4
0 4,4,1,4,4,0,0,0 1
1 0,4,4,4,0,4,4,4 1
4 0,4,4,4,0,0,0,0 4
0 0,1,0,2,0,2,0,0 1
1 1,1,1,2,2,0,0,0 1
1 1,2,2,0,0,4,0,0 1
2 1,0,1,0,0,0,0,0 1
0 0,2,0,2,0,2,0,0 5
0 0,6,0,6,0,6,0,0 1
0 1,4,0,2,0,4,1,0 3
1 4,0,0,1,0,1,0,0 6
0 1,0,1,0,1,0,1,0 6
3 6,6,6,0,0,0,0,0 1
# Medium oscillators
0 5,0,0,3,0,0,0,0 1
0 5,0,0,2,0,0,0,0 1
0 1,6,0,6,0,6,0,0 1
0 1,0,0,2,0,0,0,0 1
0 1,2,0,2,0,2,0,0 5
1 1,0,0,0,2,0,0,0 5
0 5,5,0,0,0,0,0,0 5
0 5,5,0,5,5,0,0,0 6
6 6,0,0,0,4,0,0,0 1
3 1,0,3,0,1,0,0,0 4
3 0,4,0,4,0,1,3,1 2
0 4,0,4,0,4,0,4,0 2
4 1,0,0,4,0,4,0,0 1
0 0,1,4,0,4,1,0,0 1
0 3,0,4,3,3,3,4,0 2
0 2,0,1,0,5,0,1,0 3
4 0,4,0,0,0,2,0,0 4
0 0,4,4,3,3,3,4,4 1
1 1,0,0,3,0,3,0,0 1
0 0,1,1,0,3,1,0,0 6
1 6,6,1,6,6,0,0,0 1
0 3,0,0,6,1,6,0,0 1
0 6,6,6,0,0,0,0,0 6
6 0,6,6,6,0,0,0,0 6
0 0,6,6,6,0,0,0,0 6
6 6,0,6,0,0,0,0,0 6
0 6,0,6,0,6,0,0,0 6
0 6,5,6,0,0,0,0,0 6
5 6,0,6,0,6,0,6,0 3
0 6,0,3,0,6,0,0,0 6
3 0,6,0,6,0,6,0,6 6
1 3,1,0,0,6,0,0,0 1
1 3,1,0,0,2,0,0,0 1
# Small photon
0 0,4,o,4,0,0,0,0 o
0 4,0,0,4,o,4,0,0 4
0 0,4,o,4,0,4,o,4 4
# Small evolutionary sequences
0 1,0,0,0,1,0,0,0 1
0 1,0,0,2,0,2,0,0 1
0 3,0,3,0,0,0,0,0 3
0 0,3,0,3,0,0,0,0 3
0 3,0,0,0,3,0,0,0 3
3 3,0,0,0,0,0,0,0 3
0 0,3,3,3,0,0,0,0 3
0 0,3,3,0,3,3,0,0 3
0 3,3,3,3,3,3,3,3 5
0 3,3,0,3,0,0,0,0 4
0 4,6,4,0,0,0,0,0 4
0 4,0,0,4,0,0,0,0 4
0 0,4,0,5,0,6,0,6 5
0 0,6,0,6,0,4,0,4 3
0 4,1,0,0,6,0,0,0 3
3 3,4,0,0,0,0,0,0 4
3 4,0,3,0,0,0,0,0 3
3 1,0,0,0,0,0,0,0 3
3 4,0,6,0,0,0,0,0 3
3 0,3,0,3,0,0,0,0 3
0 1,1,0,0,0,0,0,0 1
5 0,5,0,0,0,0,0,0 1
1 0,1,0,6,0,6,0,6 1
0 1,0,1,0,6,0,6,0 1
3 3,0,0,3,0,0,0,0 4
3 4,3,4,0,0,0,0,0 3
0 2,2,0,4,4,0,0,0 3
0 0,5,5,5,0,0,0,0 5
0 0,5,5,5,0,5,5,5 5
0 0,4,0,4,0,4,0,4 3
0 0,2,0,0,0,3,0,0 1
4 5,0,0,3,0,0,0,0 1
4 4,0,0,4,0,2,0,0 5
0 6,0,1,4,0,4,0,0 2
1 1,2,1,1,1,0,0,0 4
# small methuselah
1 1,0,1,0,0,0,0,0 4
2 1,4,1,0,0,0,0,0 4
1 2,1,4,0,1,0,0,0 1
0 4,1,1,2,0,2,0,0 5
0 5,0,5,0,1,4,1,0 6
5 0,5,0,1,0,0,0,0 3
0 3,6,3,0,6,0,6,0 1
3 6,3,0,6,0,6,0,0 1
0 4,3,0,4,0,3,4,0 1
1 4,0,4,0,0,4,0,0 1
0 0,4,0,1,0,4,0,0 3
0 0,4,0,1,0,4,0,4 2
0 0,3,0,3,0,3,0,2 3
3 3,0,3,0,4,3,4,0 1
0 2,0,2,0,2,0,2,0 1
0 4,4,0,4,4,0,0,0 4
4 4,4,0,0,0,0,0,0 4
0 4,4,4,0,4,0,0,0 5
0 4,0,5,4,0,0,0,0 4
0 4,0,4,4,0,4,0,0 4
0 4,0,4,0,4,4,0,0 4
0 4,0,4,0,0,2,0,0 3
0 4,4,0,4,0,4,0,0 1
2 4,0,4,0,0,0,0,0 1
1 4,0,4,0,4,0,0,0 1
0 3,0,4,0,4,0,0,0 3
0 1,4,0,2,0,2,0,0 4
4 4,0,0,2,0,0,0,0 2
0 0,4,0,4,0,4,0,0 1
0 0,2,0,4,1,4,0,2 5
# Another spaceship
3 3,0,3,0,0,0,0,0 3
3 3,3,0,3,3,0,0,0 1
0 3,1,3,0,0,0,0,0 3
3 0,3,1,3,0,0,0,0 3
3 1,3,0,0,0,0,0,0 3
# Yet another spaceship
3 3,1,3,0,0,0,0,0 6
3 3,3,1,3,3,0,0,0 5
0 3,5,6,0,0,0,0,0 3
3 0,6,5,6,0,0,0,0 5
6 0,3,5,0,5,3,0,0 2
0 3,2,3,0,0,0,0,0 3
3 5,0,2,3,0,0,0,0 3
2 0,5,3,0,3,5,0,0 1
5 3,2,0,0,3,0,0,0 3
0 2,3,5,3,0,0,0,0 3
0 6,5,0,5,0,0,0,0 1
0 5,5,0,5,5,6,0,0 1
0 1,1,0,1,1,2,0,0 1
0 2,1,0,1,0,0,0,0 1
0 5,5,1,0,5,0,0,0 2
1 1,0,5,5,0,5,0,0 1
0 5,0,1,1,0,0,0,0 3
0 4,2,0,5,6,0,0,0 1
0 0,4,2,1,0,5,5,6 1
0 4,0,1,1,0,0,0,0 6
1 2,0,3,6,0,0,0,0 1
3 6,0,1,2,0,0,0,0 1
1 1,3,1,0,0,0,0,0 2
3 1,1,1,0,1,0,1,0 5
2 1,2,1,0,0,0,0,0 1
1 2,1,2,0,1,0,0,0 1
2 0,1,1,2,1,1,0,5 3
0 5,0,2,1,1,2,0,0 1
3 3,3,1,0,0,0,0,0 3
6 3,0,5,3,0,0,0,0 2
5 3,0,6,3,0,3,6,0 2
2 2,5,3,0,0,0,0,0 3
2 2,3,5,3,2,0,0,0 1
3 2,2,5,0,0,0,0,0 3
5 3,2,2,2,3,0,0,0 3
# more reaction
0 2,0,4,6,0,5,6,0 2
0 5,4,0,0,0,4,0,0 5
0 4,6,0,0,0,5,0,0 5
0 4,0,0,5,5,5,0,0 1
0 0,5,5,5,0,4,0,0 1
0 5,5,0,0,4,0,0,0 3
0 0,4,3,1,0,0,0,0 4
0 0,3,1,5,0,0,0,0 4
3 1,0,0,0,4,0,0,0 1
0 6,0,0,3,4,0,0,0 4
0 0,6,0,4,3,1,0,1 4
0 1,0,0,3,1,5,0,0 4
0 6,4,0,5,0,0,0,0 2
0 4,6,0,0,5,4,0,0 3
0 3,2,0,4,0,0,0,0 3
5 1,0,1,0,1,0,1,0 5
0 2,0,1,0,5,1,0,0 3
0 0,6,6,5,0,5,6,6 5
4 0,4,4,4,0,4,4,4 6
4 4,4,4,4,0,4,0,0 2
0 0,6,0,6,0,3,0,1 4
0 0,4,0,4,4,4,0,0 3
# Update (v2) More still lives
3 2,0,2,0,0,0,0,0 3
2 3,2,0,0,0,0,0,0 2
3 2,3,2,0,0,0,0,0 3
2 3,2,3,0,0,0,0,0 2
2 3,0,0,0,0,0,0,0 2
3 2,0,0,0,0,0,0,0 3
3 3,0,0,0,2,0,0,0 3
3 3,0,3,0,0,0,0,0 3
3 3,3,0,0,2,0,0,0 3
3 3,3,0,0,3,3,0,0 3
3 3,0,3,0,3,0,0,0 3
3 2,0,0,3,3,3,0,0 3
4 4,4,4,0,0,0,0,0 4
# Another Spaceship (v2)
5 5,0,0,1,0,0,0,0 3
5 6,0,3,0,5,0,0,0 1
5 5,3,0,0,6,0,0,0 1
1 1,5,0,0,0,1,0,0 1
0 6,0,2,1,0,3,0,0 1
0 3,6,0,0,0,6,0,0 1
# New OMS (v2)
1 1,0,1,0,0,1,0,0 4
0 2,0,2,0,0,4,0,0 1
0 4,0,1,2,0,2,0,0 1
1 2,0,0,4,0,1,0,0 3
0 0,4,0,2,4,1,0,0 4
0 4,0,1,4,0,0,0,0 3
4 1,4,0,0,2,0,0,0 2
0 0,2,4,1,4,2,0,0 3
3 4,2,1,3,0,0,0,0 3
4 4,0,2,1,3,0,0,0 3
1 3,4,2,3,2,4,3,0 1
2 0,3,3,2,1,3,4,4 3
5 6,0,3,3,0,5,0,0 2
3 0,3,3,0,5,6,0,0 6
3 0,5,3,0,3,5,0,3 4
0 5,3,3,0,3,3,5,0 4
6 3,0,2,4,4,6,0,0 5
4 4,4,4,2,6,0,6,2 5
5 5,0,5,0,0,5,0,0 4
0 6,0,6,0,0,4,0,0 6
0 4,0,5,6,0,6,0,0 6
5 6,0,0,5,0,4,0,0 5
0 4,0,4,0,5,0,5,0 1
0 5,1,5,0,0,0,0,0 4
0 4,0,4,0,4,4,4,0 4
0 4,0,4,0,4,1,0,0 6
0 1,4,4,4,0,0,0,0 5
1 0,1,0,6,0,4,0,0 2
2 2,2,0,0,5,0,0,0 2
0 0,2,2,4,0,5,2,2 5
0 5,2,0,0,0,4,0,0 4
0 0,5,2,2,2,5,0,0 6
0 1,0,0,2,5,0,0,0 2
0 0,1,0,5,2,6,2,5 3
2 5,0,0,4,6,2,0,0 2
6 2,0,2,0,4,4,4,0 6
6 2,3,2,0,0,0,0,0 1
2 6,2,3,2,0,0,0,0 1
3 2,0,2,0,2,6,2,0 3
2 0,2,3,2,0,0,0,0 1
2 1,2,1,0,0,2,0,0 4
3 1,0,1,0,1,4,1,0 5
0 5,0,0,2,4,1,0,0 6
0 0,5,0,4,1,0,1,4 4
6 2,0,4,6,0,0,0,0 1
4 0,4,0,2,6,0,6,2 1
0 2,4,0,6,0,6,0,0 5
## v3
# SL
2 3,4,3,0,0,0,0,0 2
3 2,3,4,3,2,0,0,0 3
4 3,2,3,2,3,2,3,2 4
# split
0 2,3,0,3,0,0,0,0 1
0 0,1,3,3,0,0,0,0 2
3 3,0,3,0,1,0,0,0 4
2 4,1,0,0,0,0,0,0 3
1 3,3,0,3,2,0,0,0 1
0 4,2,0,0,0,3,0,0 3
3 4,3,2,0,0,0,0,0 3
4 3,2,3,2,3,0,0,0 4
0 1,4,2,0,0,0,0,0 3
1 4,2,0,0,0,0,0,0 3
0 3,0,0,4,0,4,0,0 4
0 3,4,0,0,1,0,0,0 2
3 3,0,3,2,0,0,0,0 3
0 0,3,4,3,0,1,0,1 3
3 2,3,4,0,1,0,0,0 3
4 0,1,3,2,3,2,3,1 4
1 3,4,0,3,0,0,0,0 2
0 1,3,4,3,1,0,3,0 3
3 3,0,0,1,0,1,0,0 5
2 3,4,3,5,0,0,0,0 2
3 2,3,4,3,2,0,5,0 3
# expanding interactions
0 4,0,0,1,0,0,0,0 3
0 4,0,0,2,0,0,0,0 1
0 4,0,0,3,0,0,0,0 4
0 4,0,0,6,0,0,0,0 6
0 4,3,0,6,0,6,0,0 5
# To deal with state 4 alternating checkerboard causing explosions, now that I know how to make alternating checkerboard rules unstable, I enable this B5c transition:
0 4,5,4,0,4,0,4,0 5
# Allow the explosions to happen
4 0,4,0,4,0,6,0,0 5
0 4,0,4,0,4,0,6,0 4
4 0,4,0,4,0,4,0,5 5
# Let's synth the splitter!
3 0,3,3,0,1,3,0,0 6
0 0,3,6,0,6,3,0,0 1
0 1,5,0,0,0,0,0,0 3
6 3,3,0,0,0,6,0,0 5
0 0,6,5,1,0,0,0,0 2
0 3,3,6,0,0,0,0,0 6
1 5,0,5,0,0,0,0,0 4
5 1,5,0,0,6,0,0,0 3
0 0,6,5,1,5,6,0,0 2
## v4
# convert the rake to a spaceship
0 0,6,0,4,0,2,0,2 1
0 6,0,1,3,0,4,0,0 3
0 0,4,4,0,4,3,0,0 2
# remove the explosive puffer
0 0,3,0,1,4,1,0,0 1
# small splitter predecessor
0 0,4,5,4,0,0,0,0 1
5 4,0,0,0,4,0,0,0 5
1 5,0,0,0,0,0,0,0 1
0 0,1,5,1,0,0,0,0 1
0 1,3,1,3,1,3,1,3 4
1 3,1,0,1,3,0,0,0 3
1 0,2,3,1,0,1,3,2 3
3 2,0,1,0,1,0,0,0 2
2 3,4,3,1,0,0,0,0 2
3 2,3,4,3,2,0,1,0 3
# c/2o
0 2,3,1,3,2,0,0,0 1
1 3,2,0,2,3,0,0,0 5
# more common
0 2,0,6,0,2,0,0,0 5
1 6,2,0,0,0,0,0,0 5
1 6,1,0,0,6,0,0,0 5
0 1,3,2,0,0,6,0,0 5
1 3,2,0,0,0,0,0,0 1
2 3,1,0,3,0,0,0,0 1
0 2,3,1,3,0,1,3,0 5
# making a blue splitter
2 3,1,0,0,6,0,0,0 2
2 0,5,0,0,0,0,0,0 6
0 2,0,0,5,0,0,0,0 6
0 2,0,5,0,0,0,0,0 1
0 0,6,1,6,0,0,0,0 1
1 6,0,0,0,6,0,0,0 5
0 6,0,6,0,0,5,0,0 6
# Catch-all transition
l1 a1,a2,a3,a4,a5,a6,a7,a8 0
@COLORS
0 0 0 0
1 255 0 0
2 255 128 0
3 240 240 0
4 255 255 255
5 0 240 240
6 0 0 255
@NAMES
0 dead
1 camel 1
2 camel 2
3 camel 3
4 border/tagalong
5 knight 1
6 knight 2

Rule:KnightPlusCamel R2INT7v4

2025-01-21T03:02:45Z

CARuler: Created page with "@RULE KnightPlusCamel_R2INT7v4 #KnightPlusCamel was originally created by CARuler. #This second 7-state version, created by R2INT, is a variant of the original 8-state rule. #The v2 update adds new still lives, a new p64 OMS, a new camelship, a p7 gun, and a p17 gun. #The v3 update adds some stable circuitry. #The v4 update adds a 2-cell c/2o. @COLORS 0 0 0 0 1 255 0 0 2 255 128 0 3 240 240 0 4 255 255 255 5 0 240 240 6 0 0 255 @NAMES 0 dead 1 camel 1 2 camel 2 3 camel 3..."

@RULE KnightPlusCamel_R2INT7v4
#KnightPlusCamel was originally created by CARuler.
#This second 7-state version, created by R2INT, is a variant of the original 8-state rule.
#The v2 update adds new still lives, a new p64 OMS, a new camelship, a p7 gun, and a p17 gun.
#The v3 update adds some stable circuitry.
#The v4 update adds a 2-cell c/2o.
@COLORS
0 0 0 0
1 255 0 0
2 255 128 0
3 240 240 0
4 255 255 255
5 0 240 240
6 0 0 255
@NAMES
0 dead
1 camel 1
2 camel 2
3 camel 3
4 border/tagalong
5 knight 1
6 knight 2
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4,5,6}
var a2 = a1
var a3 = a2
var a4 = a3
var a5 = a4
var a6 = a5
var a7 = a6
var a8 = a7
var l1 = {1,2,3,4,5,6}
var d = {1,5} # Frontends of the spaceships when moving diagonally
var o = {2,3,6} # Frontends of the spaceships when moving orthogonally
var o2 = o
# Camelship
0 0,1,0,0,0,0,0,0 2
0 2,4,0,0,0,0,0,0 3
0 3,4,0,0,0,0,0,0 1
# Knightship
0 0,5,0,0,0,0,0,0 6
0 6,4,0,0,0,0,0,0 5
# Border
0 d,4,0,0,0,0,0,0 4
0 0,4,0,d,0,0,0,0 4
0 4,o,0,0,0,0,0,0 4
0 o,4,0,0,4,0,0,0 4
# Transitions to stop the replicators
0 o,4,0,4,o,0,0,0 4
0 0,5,0,5,0,0,0,0 4
0 0,1,0,1,0,0,0,0 4
0 3,4,0,1,0,0,0,0 4
# Some small oscillators
0 0,2,0,2,0,2,0,2 1
0 0,6,0,6,0,6,0,6 5
3 0,3,3,3,0,0,0,0 3
0 3,0,0,2,0,2,0,0 1
1 1,1,1,0,0,0,0,0 1
1 1,1,1,0,0,2,0,0 2
2 2,2,2,0,0,0,0,0 3
3 3,3,3,0,0,0,0,0 5
5 5,5,5,0,0,0,0,0 5
5 5,5,5,0,0,6,0,0 6
6 6,6,6,0,0,0,0,0 1
2 1,1,1,0,0,0,0,0 2
1 1,1,1,1,1,1,1,2 1
6 5,5,5,0,0,0,0,0 6
5 5,5,5,5,5,5,5,6 5
0 1,0,1,0,1,0,0,0 4
0 4,4,0,2,0,2,0,0 5
0 4,0,0,2,0,2,0,0 5
0 6,0,6,0,1,0,0,0 1
0 1,0,4,0,1,0,0,0 1
0 4,0,4,0,0,0,0,0 4
0 4,4,4,4,0,0,0,0 4
4 4,0,4,0,4,4,0,0 4
0 4,0,4,0,4,0,0,0 4
0 4,0,4,0,4,0,4,0 4
0 4,4,1,4,4,0,0,0 1
1 0,4,4,4,0,4,4,4 1
4 0,4,4,4,0,0,0,0 4
0 0,1,0,2,0,2,0,0 1
1 1,1,1,2,2,0,0,0 1
1 1,2,2,0,0,4,0,0 1
2 1,0,1,0,0,0,0,0 1
0 0,2,0,2,0,2,0,0 5
0 0,6,0,6,0,6,0,0 1
0 1,4,0,2,0,4,1,0 3
1 4,0,0,1,0,1,0,0 6
0 1,0,1,0,1,0,1,0 6
3 6,6,6,0,0,0,0,0 1
# Medium oscillators
0 5,0,0,3,0,0,0,0 1
0 5,0,0,2,0,0,0,0 1
0 1,6,0,6,0,6,0,0 1
0 1,0,0,2,0,0,0,0 1
0 1,2,0,2,0,2,0,0 5
1 1,0,0,0,2,0,0,0 5
0 5,5,0,0,0,0,0,0 5
0 5,5,0,5,5,0,0,0 6
6 6,0,0,0,4,0,0,0 1
3 1,0,3,0,1,0,0,0 4
3 0,4,0,4,0,1,3,1 2
0 4,0,4,0,4,0,4,0 2
4 1,0,0,4,0,4,0,0 1
0 0,1,4,0,4,1,0,0 1
0 3,0,4,3,3,3,4,0 2
0 2,0,1,0,5,0,1,0 3
4 0,4,0,0,0,2,0,0 4
0 0,4,4,3,3,3,4,4 1
1 1,0,0,3,0,3,0,0 1
0 0,1,1,0,3,1,0,0 6
1 6,6,1,6,6,0,0,0 1
0 3,0,0,6,1,6,0,0 1
0 6,6,6,0,0,0,0,0 6
6 0,6,6,6,0,0,0,0 6
0 0,6,6,6,0,0,0,0 6
6 6,0,6,0,0,0,0,0 6
0 6,0,6,0,6,0,0,0 6
0 6,5,6,0,0,0,0,0 6
5 6,0,6,0,6,0,6,0 3
0 6,0,3,0,6,0,0,0 6
3 0,6,0,6,0,6,0,6 6
1 3,1,0,0,6,0,0,0 1
1 3,1,0,0,2,0,0,0 1
# Small photon
0 0,4,o,4,0,0,0,0 o
0 4,0,0,4,o,4,0,0 4
0 0,4,o,4,0,4,o,4 4
# Small evolutionary sequences
0 1,0,0,0,1,0,0,0 1
0 1,0,0,2,0,2,0,0 1
0 3,0,3,0,0,0,0,0 3
0 0,3,0,3,0,0,0,0 3
0 3,0,0,0,3,0,0,0 3
3 3,0,0,0,0,0,0,0 3
0 0,3,3,3,0,0,0,0 3
0 0,3,3,0,3,3,0,0 3
0 3,3,3,3,3,3,3,3 5
0 3,3,0,3,0,0,0,0 4
0 4,6,4,0,0,0,0,0 4
0 4,0,0,4,0,0,0,0 4
0 0,4,0,5,0,6,0,6 5
0 0,6,0,6,0,4,0,4 3
0 4,1,0,0,6,0,0,0 3
3 3,4,0,0,0,0,0,0 4
3 4,0,3,0,0,0,0,0 3
3 1,0,0,0,0,0,0,0 3
3 4,0,6,0,0,0,0,0 3
3 0,3,0,3,0,0,0,0 3
0 1,1,0,0,0,0,0,0 1
5 0,5,0,0,0,0,0,0 1
1 0,1,0,6,0,6,0,6 1
0 1,0,1,0,6,0,6,0 1
3 3,0,0,3,0,0,0,0 4
3 4,3,4,0,0,0,0,0 3
0 2,2,0,4,4,0,0,0 3
0 0,5,5,5,0,0,0,0 5
0 0,5,5,5,0,5,5,5 5
0 0,4,0,4,0,4,0,4 3
0 0,2,0,0,0,3,0,0 1
4 5,0,0,3,0,0,0,0 1
4 4,0,0,4,0,2,0,0 5
0 6,0,1,4,0,4,0,0 2
1 1,2,1,1,1,0,0,0 4
# small methuselah
1 1,0,1,0,0,0,0,0 4
2 1,4,1,0,0,0,0,0 4
1 2,1,4,0,1,0,0,0 1
0 4,1,1,2,0,2,0,0 5
0 5,0,5,0,1,4,1,0 6
5 0,5,0,1,0,0,0,0 3
0 3,6,3,0,6,0,6,0 1
3 6,3,0,6,0,6,0,0 1
0 4,3,0,4,0,3,4,0 1
1 4,0,4,0,0,4,0,0 1
0 0,4,0,1,0,4,0,0 3
0 0,4,0,1,0,4,0,4 2
0 0,3,0,3,0,3,0,2 3
3 3,0,3,0,4,3,4,0 1
0 2,0,2,0,2,0,2,0 1
0 4,4,0,4,4,0,0,0 4
4 4,4,0,0,0,0,0,0 4
0 4,4,4,0,4,0,0,0 5
0 4,0,5,4,0,0,0,0 4
0 4,0,4,4,0,4,0,0 4
0 4,0,4,0,4,4,0,0 4
0 4,0,4,0,0,2,0,0 3
0 4,4,0,4,0,4,0,0 1
2 4,0,4,0,0,0,0,0 1
1 4,0,4,0,4,0,0,0 1
0 3,0,4,0,4,0,0,0 3
0 1,4,0,2,0,2,0,0 4
4 4,0,0,2,0,0,0,0 2
0 0,4,0,4,0,4,0,0 1
0 0,2,0,4,1,4,0,2 5
# Another spaceship
3 3,0,3,0,0,0,0,0 3
3 3,3,0,3,3,0,0,0 1
0 3,1,3,0,0,0,0,0 3
3 0,3,1,3,0,0,0,0 3
3 1,3,0,0,0,0,0,0 3
# Yet another spaceship
3 3,1,3,0,0,0,0,0 6
3 3,3,1,3,3,0,0,0 5
0 3,5,6,0,0,0,0,0 3
3 0,6,5,6,0,0,0,0 5
6 0,3,5,0,5,3,0,0 2
0 3,2,3,0,0,0,0,0 3
3 5,0,2,3,0,0,0,0 3
2 0,5,3,0,3,5,0,0 1
5 3,2,0,0,3,0,0,0 3
0 2,3,5,3,0,0,0,0 3
0 6,5,0,5,0,0,0,0 1
0 5,5,0,5,5,6,0,0 1
0 1,1,0,1,1,2,0,0 1
0 2,1,0,1,0,0,0,0 1
0 5,5,1,0,5,0,0,0 2
1 1,0,5,5,0,5,0,0 1
0 5,0,1,1,0,0,0,0 3
0 4,2,0,5,6,0,0,0 1
0 0,4,2,1,0,5,5,6 1
0 4,0,1,1,0,0,0,0 6
1 2,0,3,6,0,0,0,0 1
3 6,0,1,2,0,0,0,0 1
1 1,3,1,0,0,0,0,0 2
3 1,1,1,0,1,0,1,0 5
2 1,2,1,0,0,0,0,0 1
1 2,1,2,0,1,0,0,0 1
2 0,1,1,2,1,1,0,5 3
0 5,0,2,1,1,2,0,0 1
3 3,3,1,0,0,0,0,0 3
6 3,0,5,3,0,0,0,0 2
5 3,0,6,3,0,3,6,0 2
2 2,5,3,0,0,0,0,0 3
2 2,3,5,3,2,0,0,0 1
3 2,2,5,0,0,0,0,0 3
5 3,2,2,2,3,0,0,0 3
# more reaction
0 2,0,4,6,0,5,6,0 2
0 5,4,0,0,0,4,0,0 5
0 4,6,0,0,0,5,0,0 5
0 4,0,0,5,5,5,0,0 1
0 0,5,5,5,0,4,0,0 1
0 5,5,0,0,4,0,0,0 3
0 0,4,3,1,0,0,0,0 4
0 0,3,1,5,0,0,0,0 4
3 1,0,0,0,4,0,0,0 1
0 6,0,0,3,4,0,0,0 4
0 0,6,0,4,3,1,0,1 4
0 1,0,0,3,1,5,0,0 4
0 6,4,0,5,0,0,0,0 2
0 4,6,0,0,5,4,0,0 3
0 3,2,0,4,0,0,0,0 3
5 1,0,1,0,1,0,1,0 5
0 2,0,1,0,5,1,0,0 3
0 0,6,6,5,0,5,6,6 5
4 0,4,4,4,0,4,4,4 6
4 4,4,4,4,0,4,0,0 2
0 0,6,0,6,0,3,0,1 4
0 0,4,0,4,4,4,0,0 3
# Update (v2) More still lives
3 2,0,2,0,0,0,0,0 3
2 3,2,0,0,0,0,0,0 2
3 2,3,2,0,0,0,0,0 3
2 3,2,3,0,0,0,0,0 2
2 3,0,0,0,0,0,0,0 2
3 2,0,0,0,0,0,0,0 3
3 3,0,0,0,2,0,0,0 3
3 3,0,3,0,0,0,0,0 3
3 3,3,0,0,2,0,0,0 3
3 3,3,0,0,3,3,0,0 3
3 3,0,3,0,3,0,0,0 3
3 2,0,0,3,3,3,0,0 3
4 4,4,4,0,0,0,0,0 4
# Another Spaceship (v2)
5 5,0,0,1,0,0,0,0 3
5 6,0,3,0,5,0,0,0 1
5 5,3,0,0,6,0,0,0 1
1 1,5,0,0,0,1,0,0 1
0 6,0,2,1,0,3,0,0 1
0 3,6,0,0,0,6,0,0 1
# New OMS (v2)
1 1,0,1,0,0,1,0,0 4
0 2,0,2,0,0,4,0,0 1
0 4,0,1,2,0,2,0,0 1
1 2,0,0,4,0,1,0,0 3
0 0,4,0,2,4,1,0,0 4
0 4,0,1,4,0,0,0,0 3
4 1,4,0,0,2,0,0,0 2
0 0,2,4,1,4,2,0,0 3
3 4,2,1,3,0,0,0,0 3
4 4,0,2,1,3,0,0,0 3
1 3,4,2,3,2,4,3,0 1
2 0,3,3,2,1,3,4,4 3
5 6,0,3,3,0,5,0,0 2
3 0,3,3,0,5,6,0,0 6
3 0,5,3,0,3,5,0,3 4
0 5,3,3,0,3,3,5,0 4
6 3,0,2,4,4,6,0,0 5
4 4,4,4,2,6,0,6,2 5
5 5,0,5,0,0,5,0,0 4
0 6,0,6,0,0,4,0,0 6
0 4,0,5,6,0,6,0,0 6
5 6,0,0,5,0,4,0,0 5
0 4,0,4,0,5,0,5,0 1
0 5,1,5,0,0,0,0,0 4
0 4,0,4,0,4,4,4,0 4
0 4,0,4,0,4,1,0,0 6
0 1,4,4,4,0,0,0,0 5
1 0,1,0,6,0,4,0,0 2
2 2,2,0,0,5,0,0,0 2
0 0,2,2,4,0,5,2,2 5
0 5,2,0,0,0,4,0,0 4
0 0,5,2,2,2,5,0,0 6
0 1,0,0,2,5,0,0,0 2
0 0,1,0,5,2,6,2,5 3
2 5,0,0,4,6,2,0,0 2
6 2,0,2,0,4,4,4,0 6
6 2,3,2,0,0,0,0,0 1
2 6,2,3,2,0,0,0,0 1
3 2,0,2,0,2,6,2,0 3
2 0,2,3,2,0,0,0,0 1
2 1,2,1,0,0,2,0,0 4
3 1,0,1,0,1,4,1,0 5
0 5,0,0,2,4,1,0,0 6
0 0,5,0,4,1,0,1,4 4
6 2,0,4,6,0,0,0,0 1
4 0,4,0,2,6,0,6,2 1
0 2,4,0,6,0,6,0,0 5
## v3
# SL
2 3,4,3,0,0,0,0,0 2
3 2,3,4,3,2,0,0,0 3
4 3,2,3,2,3,2,3,2 4
# split
0 2,3,0,3,0,0,0,0 1
0 0,1,3,3,0,0,0,0 2
3 3,0,3,0,1,0,0,0 4
2 4,1,0,0,0,0,0,0 3
1 3,3,0,3,2,0,0,0 1
0 4,2,0,0,0,3,0,0 3
3 4,3,2,0,0,0,0,0 3
4 3,2,3,2,3,0,0,0 4
0 1,4,2,0,0,0,0,0 3
1 4,2,0,0,0,0,0,0 3
0 3,0,0,4,0,4,0,0 4
0 3,4,0,0,1,0,0,0 2
3 3,0,3,2,0,0,0,0 3
0 0,3,4,3,0,1,0,1 3
3 2,3,4,0,1,0,0,0 3
4 0,1,3,2,3,2,3,1 4
1 3,4,0,3,0,0,0,0 2
0 1,3,4,3,1,0,3,0 3
3 3,0,0,1,0,1,0,0 5
2 3,4,3,5,0,0,0,0 2
3 2,3,4,3,2,0,5,0 3
# expanding interactions
0 4,0,0,1,0,0,0,0 3
0 4,0,0,2,0,0,0,0 1
0 4,0,0,3,0,0,0,0 4
0 4,0,0,6,0,0,0,0 6
0 4,3,0,6,0,6,0,0 5
# To deal with state 4 alternating checkerboard causing explosions, now that I know how to make alternating checkerboard rules unstable, I enable this B5c transition:
0 4,5,4,0,4,0,4,0 5
# Allow the explosions to happen
4 0,4,0,4,0,6,0,0 5
0 4,0,4,0,4,0,6,0 4
4 0,4,0,4,0,4,0,5 5
# Let's synth the splitter!
3 0,3,3,0,1,3,0,0 6
0 0,3,6,0,6,3,0,0 1
0 1,5,0,0,0,0,0,0 3
6 3,3,0,0,0,6,0,0 5
0 0,6,5,1,0,0,0,0 2
0 3,3,6,0,0,0,0,0 6
1 5,0,5,0,0,0,0,0 4
5 1,5,0,0,6,0,0,0 3
0 0,6,5,1,5,6,0,0 2
## v4
# convert the rake to a spaceship
0 0,6,0,4,0,2,0,2 1
0 6,0,1,3,0,4,0,0 3
0 0,4,4,0,4,3,0,0 2
# remove the explosive puffer
0 0,3,0,1,4,1,0,0 1
# small splitter predecessor
0 0,4,5,4,0,0,0,0 1
5 4,0,0,0,4,0,0,0 5
1 5,0,0,0,0,0,0,0 1
0 0,1,5,1,0,0,0,0 1
0 1,3,1,3,1,3,1,3 4
1 3,1,0,1,3,0,0,0 3
1 0,2,3,1,0,1,3,2 3
3 2,0,1,0,1,0,0,0 2
2 3,4,3,1,0,0,0,0 2
3 2,3,4,3,2,0,1,0 3
# c/2o
0 2,3,1,3,2,0,0,0 1
1 3,2,0,2,3,0,0,0 5
# more common
0 2,0,6,0,2,0,0,0 5
1 6,2,0,0,0,0,0,0 5
1 6,1,0,0,6,0,0,0 5
0 1,3,2,0,0,6,0,0 5
1 3,2,0,0,0,0,0,0 1
2 3,1,0,3,0,0,0,0 1
0 2,3,1,3,0,1,3,0 5
# making a blue splitter
2 3,1,0,0,6,0,0,0 2
2 0,5,0,0,0,0,0,0 6
0 2,0,0,5,0,0,0,0 6
0 2,0,5,0,0,0,0,0 1
0 0,6,1,6,0,0,0,0 1
1 6,0,0,0,6,0,0,0 5
0 6,0,6,0,0,5,0,0 6
# Catch-all transition
l1 a1,a2,a3,a4,a5,a6,a7,a8 0

Rule:StatesSearcher

2025-01-18T04:06:38Z

CARuler: Created page with "@RULE StatesSearcher @TABLE n_states:30 neighborhood:Moore symmetries:permute #all 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 #killer var i = {5,6} #egg var j = {4,9} #on births var k = {1,3,6,8,19,21} var l = k var m = k var n = k var o = k var p = k var q = k var r = k #off births var s = {0,2,5,7,18,20} var t = s var u = s var v = s var w = s var x = s..."

@RULE StatesSearcher
@TABLE
n_states:30
neighborhood:Moore
symmetries:permute
#all
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
#killer
var i = {5,6}
#egg
var j = {4,9}
#on births
var k = {1,3,6,8,19,21}
var l = k
var m = k
var n = k
var o = k
var p = k
var q = k
var r = k
#off births
var s = {0,2,5,7,18,20}
var t = s
var u = s
var v = s
var w = s
var x = s
var y = s
var z = s
#on survival
var A = {1,7,8,9,28,29}
var B = A
var C = A
var D = A
var E = A
var F = A
var G = A
var H = A
#off survival
var I = {0,2,3,4,26,27}
var J = I
var K = I
var L = I
var M = I
var N = I
var O = I
var P = I
#misc on births
var Q = {1,3,6,8,11,13,15,17,19,21,23,25,27,29}
var R = Q
var S = Q
var T = Q
var U = Q
var V = Q
var W = Q
var X = Q
#misc off births
var Y = {0,2,5,7,10,12,14,16,18,20,22,24,26,28}
var Z = Y
var aa = Y
var ab = Y
var ac = Y
var ad = Y
var ae = Y
var af = Y
#misc on survival
var ag = {1,7,8,9,12,13,16,17,20,21,24,25,28,29}
var ah = ag
var ai = ag
var aj = ag
var ak = ag
var al = ag
var am = ag
var an = ag
#misc off survival
var ao = {0,2,3,4,10,11,14,15,18,19,22,23,26,27}
var ap = ao
var aq = ao
var ar = ao
var as = ao
var at = ao
var au = ao
var av = ao
#Override off births off
var aw = {10,12,14,16,22,24,26,28}
#Override off births on
var ax = {11,13,15,17,23,25,27,29}
#Override on births off
var ay = {10,12,14,16,26,28}
#Override on births on
var az = {11,13,15,17,27,29}
#Override off survival off
var aA = {14,15,18,19,22,23}
#Override off survival on
var aB = {16,17,20,21,24,25}
#Override on survival off
var aC = {10,11,14,15,18,19,22,23}
#Override on survival on
var aD = {12,13,16,17,20,21,24,25}
#killer
1,i,a,b,c,d,e,f,g,0
#egg
0,j,a,b,c,d,e,f,g,1
#Override off births off
0,aw,a,b,Y,Z,aa,ab,ac,1
0,aw,Q,R,T,S,a,b,c,1
#Override off births on
0,ax,a,Y,Z,aa,ab,ac,ad,1
0,ax,Q,R,S,a,b,c,d,1
#Override on births off
0,ay,Q,R,S,Y,Z,aa,ab,0
#Override on births on
0,az,Q,R,Y,Z,aa,ab,ac,0
#Override off survival off
1,aA,a,ao,ap,aq,ar,as,at,1
1,aA,ag,ah,ai,aj,a,b,c,1
#Override off survival on
1,aB,ao,ap,aq,ar,as,at,au,1
1,aB,ag,ah,ai,a,b,c,d,1
#Override on survival off
1,aC,ag,ah,a,ao,ap,aq,ar,0
#Override on survival on
1,aD,ag,a,ao,ap,aq,ar,as,0

#default-like
0,Q,R,S,Y,Z,aa,ab,ac,1
1,ag,ah,ai,ao,ap,aq,ar,as,1
1,ag,ah,ao,ap,aq,ar,as,at,1
#default
1,a,b,c,d,e,f,g,h,0
@NAMES
0 dead
1 alive
2 00
3 10
4 (1)0
5 0(0)
6 1(0)
7 01
8 11
9 (1)1
10 {{10}{00}00}
11 {{10}{00}10}
12 {{10}{00}01}
13 {{10}{00}11}
14 {{10}{10}00}
15 {{10}{10}10}
16 {{10}{10}01}
17 {{10}{10}11}
18 {{01}{10}00}
19 {{01}{10}10}
20 {{01}{10}01}
21 {{01}{10}11}
22 {{11}{10}00}
23 {{11}{10}10}
24 {{11}{10}01}
25 {{11}{10}11}
26 {{10}{01}00}
27 {{10}{01}10}
28 {{10}{01}01}
29 {{10}{01}11}
@COLORS
0 48 48 48
1 0 255 0
2 128 128 128
3 0 0 255
4 128 128 0
5 128 0 0
6 255 0 0
7 0 0 128
8 255 255 255
9 255 255 0
10 64 42 20
11 255 0 255
12 0 255 255
13 148 0 255
14 128 84 80
15 255 128 255
16 128 255 255
17 202 128 255
18 32 21 10
19 128 0 128
20 0 128 128
21 74 0 128
22 255 128 0
23 128 255 0
24 0 255 128
25 0 128 255
26 128 0 255
27 255 0 128
28 0 128 0
29 128 255 128

Rule:StatesHunter

2025-01-17T03:30:22Z

CARuler: Created page with "@RULE StatesHunter @TABLE n_states:120 neighborhood:Moore symmetries:permute #all states var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119} var b..."

@RULE StatesHunter
@TABLE
n_states:120
neighborhood:Moore
symmetries:permute
#all states
var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
#states that are on
var i = {1,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,115,117,119}
var j = i
var k = i
var l = i
var m = i
var n = i
var o = i
var p = i
#killer states
var q = {5,6,15,17,27,29,41,43,50,52,54,56,57,58,60,62,64,66,68,70,71,72,74,76,85,87,99,101,113,115}
#egg states
var r = {4,9,13,21,25,35,36,38,40,42,44,46,48,49,55,63,69,77,83,91,97,105,106,108,110,111,112,114,116,118}
#on births
var s = {1,3,6,8,11,17,22,24,26,28,29,30,32,33,34,39,43,47,53,57,61,64,66,67,68,70,72,74,75,76,81,87,89,92,94,95,96,98,100,101,102,104,109,115,119}
var t = s
var u = s
var v = s
var w = s
var x = s
var y = s
var z = s
#on survival
var A = {1,7,8,9,19,21,31,33,35,45,47,49,59,61,63,73,75,77,78,80,82,84,86,88,89,90,91,92,94,96,98,100,101,102,103,104,105,106,108,110,112,114,116,117,118,119}
var B = A
var C = A
var D = A
var E = A
var F = A
var G = A
var H = A
#off births
var I = {0,2,5,7,10,12,14,15,16,18,19,20,23,27,31,37,41,45,50,51,52,54,56,58,59,60,62,65,71,73,78,79,80,82,84,85,86,88,90,93,99,103,107,113,117}
var J = I
var K = I
var L = I
var M = I
var N = I
var O = I
var P = I
#off survival
var Q = {0,2,3,4,10,11,12,13,14,16,18,20,22,23,24,25,26,28,30,32,34,36,37,38,39,40,42,44,46,48,51,53,55,65,67,79,81,83,93,95,97,107,109,111}
var R = Q
var S = Q
var T = Q
var U = Q
var V = Q
var W = Q
var X = Q

#override
#killer
1,a,b,c,d,e,f,g,q,0
11,a,b,c,d,e,f,g,q,10
13,a,b,c,d,e,f,g,q,12
15,a,b,c,d,e,f,g,q,14
17,a,b,c,d,e,f,g,q,16
19,a,b,c,d,e,f,g,q,18
21,a,b,c,d,e,f,g,q,20
23,a,b,c,d,e,f,g,q,22
25,a,b,c,d,e,f,g,q,24
27,a,b,c,d,e,f,g,q,26
29,a,b,c,d,e,f,g,q,28
31,a,b,c,d,e,f,g,q,30
33,a,b,c,d,e,f,g,q,32
35,a,b,c,d,e,f,g,q,34
37,a,b,c,d,e,f,g,q,36
39,a,b,c,d,e,f,g,q,38
41,a,b,c,d,e,f,g,q,40
43,a,b,c,d,e,f,g,q,42
45,a,b,c,d,e,f,g,q,44
47,a,b,c,d,e,f,g,q,46
49,a,b,c,d,e,f,g,q,48
51,a,b,c,d,e,f,g,q,50
53,a,b,c,d,e,f,g,q,52
55,a,b,c,d,e,f,g,q,54
57,a,b,c,d,e,f,g,q,56
59,a,b,c,d,e,f,g,q,58
61,a,b,c,d,e,f,g,q,60
63,a,b,c,d,e,f,g,q,62
65,a,b,c,d,e,f,g,q,64
67,a,b,c,d,e,f,g,q,66
69,a,b,c,d,e,f,g,q,68
71,a,b,c,d,e,f,g,q,70
73,a,b,c,d,e,f,g,q,72
75,a,b,c,d,e,f,g,q,74
77,a,b,c,d,e,f,g,q,76
79,a,b,c,d,e,f,g,q,78
81,a,b,c,d,e,f,g,q,80
83,a,b,c,d,e,f,g,q,82
85,a,b,c,d,e,f,g,q,84
87,a,b,c,d,e,f,g,q,86
89,a,b,c,d,e,f,g,q,88
91,a,b,c,d,e,f,g,q,90
93,a,b,c,d,e,f,g,q,92
95,a,b,c,d,e,f,g,q,94
97,a,b,c,d,e,f,g,q,96
99,a,b,c,d,e,f,g,q,98
101,a,b,c,d,e,f,g,q,100
103,a,b,c,d,e,f,g,q,102
105,a,b,c,d,e,f,g,q,104
107,a,b,c,d,e,f,g,q,106
109,a,b,c,d,e,f,g,q,108
111,a,b,c,d,e,f,g,q,110
113,a,b,c,d,e,f,g,q,112
115,a,b,c,d,e,f,g,q,114
117,a,b,c,d,e,f,g,q,116
119,a,b,c,d,e,f,g,q,118
#egg
0,r,a,b,c,d,e,f,g,1
10,r,a,b,c,d,e,f,g,11
12,r,a,b,c,d,e,f,g,13
14,r,a,b,c,d,e,f,g,15
16,r,a,b,c,d,e,f,g,17
18,r,a,b,c,d,e,f,g,19
20,r,a,b,c,d,e,f,g,21
22,r,a,b,c,d,e,f,g,23
24,r,a,b,c,d,e,f,g,25
26,r,a,b,c,d,e,f,g,27
28,r,a,b,c,d,e,f,g,29
30,r,a,b,c,d,e,f,g,31
32,r,a,b,c,d,e,f,g,33
34,r,a,b,c,d,e,f,g,35
36,r,a,b,c,d,e,f,g,37
38,r,a,b,c,d,e,f,g,39
40,r,a,b,c,d,e,f,g,41
42,r,a,b,c,d,e,f,g,43
44,r,a,b,c,d,e,f,g,45
46,r,a,b,c,d,e,f,g,47
48,r,a,b,c,d,e,f,g,49
50,r,a,b,c,d,e,f,g,51
52,r,a,b,c,d,e,f,g,53
54,r,a,b,c,d,e,f,g,55
56,r,a,b,c,d,e,f,g,57
58,r,a,b,c,d,e,f,g,59
60,r,a,b,c,d,e,f,g,61
62,r,a,b,c,d,e,f,g,63
64,r,a,b,c,d,e,f,g,65
66,r,a,b,c,d,e,f,g,67
68,r,a,b,c,d,e,f,g,69
70,r,a,b,c,d,e,f,g,71
72,r,a,b,c,d,e,f,g,73
74,r,a,b,c,d,e,f,g,75
76,r,a,b,c,d,e,f,g,77
78,r,a,b,c,d,e,f,g,79
80,r,a,b,c,d,e,f,g,81
82,r,a,b,c,d,e,f,g,83
84,r,a,b,c,d,e,f,g,85
86,r,a,b,c,d,e,f,g,87
88,r,a,b,c,d,e,f,g,89
90,r,a,b,c,d,e,f,g,91
92,r,a,b,c,d,e,f,g,93
94,r,a,b,c,d,e,f,g,95
96,r,a,b,c,d,e,f,g,97
98,r,a,b,c,d,e,f,g,99
100,r,a,b,c,d,e,f,g,101
102,r,a,b,c,d,e,f,g,103
104,r,a,b,c,d,e,f,g,105
106,r,a,b,c,d,e,f,g,107
108,r,a,b,c,d,e,f,g,109
110,r,a,b,c,d,e,f,g,111
112,r,a,b,c,d,e,f,g,113
114,r,a,b,c,d,e,f,g,115
116,r,a,b,c,d,e,f,g,117
118,r,a,b,c,d,e,f,g,119

#births
0,s,t,u,I,J,K,L,M,1
10,s,t,u,I,J,K,L,M,11
12,s,t,u,I,J,K,L,M,13
14,s,t,u,I,J,K,L,M,15
16,s,t,u,I,J,K,L,M,17
18,s,t,u,I,J,K,L,M,19
20,s,t,u,I,J,K,L,M,21
22,s,t,u,I,J,K,L,M,23
24,s,t,u,I,J,K,L,M,25
26,s,t,u,I,J,K,L,M,27
28,s,t,u,I,J,K,L,M,29
30,s,t,u,I,J,K,L,M,31
32,s,t,u,I,J,K,L,M,33
34,s,t,u,I,J,K,L,M,35
36,s,t,u,I,J,K,L,M,37
38,s,t,u,I,J,K,L,M,39
40,s,t,u,I,J,K,L,M,41
42,s,t,u,I,J,K,L,M,43
44,s,t,u,I,J,K,L,M,45
46,s,t,u,I,J,K,L,M,47
48,s,t,u,I,J,K,L,M,49
50,s,t,u,I,J,K,L,M,51
52,s,t,u,I,J,K,L,M,53
54,s,t,u,I,J,K,L,M,55
56,s,t,u,I,J,K,L,M,57
58,s,t,u,I,J,K,L,M,59
60,s,t,u,I,J,K,L,M,61
62,s,t,u,I,J,K,L,M,63
64,s,t,u,I,J,K,L,M,65
66,s,t,u,I,J,K,L,M,67
68,s,t,u,I,J,K,L,M,69
70,s,t,u,I,J,K,L,M,71
72,s,t,u,I,J,K,L,M,73
74,s,t,u,I,J,K,L,M,75
76,s,t,u,I,J,K,L,M,77
78,s,t,u,I,J,K,L,M,79
80,s,t,u,I,J,K,L,M,81
82,s,t,u,I,J,K,L,M,83
84,s,t,u,I,J,K,L,M,85
86,s,t,u,I,J,K,L,M,87
88,s,t,u,I,J,K,L,M,89
90,s,t,u,I,J,K,L,M,91
92,s,t,u,I,J,K,L,M,93
94,s,t,u,I,J,K,L,M,95
96,s,t,u,I,J,K,L,M,97
98,s,t,u,I,J,K,L,M,99
100,s,t,u,I,J,K,L,M,101
102,s,t,u,I,J,K,L,M,103
104,s,t,u,I,J,K,L,M,105
106,s,t,u,I,J,K,L,M,107
108,s,t,u,I,J,K,L,M,109
110,s,t,u,I,J,K,L,M,111
112,s,t,u,I,J,K,L,M,113
114,s,t,u,I,J,K,L,M,115
116,s,t,u,I,J,K,L,M,117
118,s,t,u,I,J,K,L,M,119

#default-like
i,A,B,Q,R,S,T,U,V,i
i,A,B,C,Q,R,S,T,U,i
#defaults
1,a,b,c,d,e,f,g,h,0
11,a,b,c,d,e,f,g,h,10
13,a,b,c,d,e,f,g,h,12
15,a,b,c,d,e,f,g,h,14
17,a,b,c,d,e,f,g,h,16
19,a,b,c,d,e,f,g,h,18
21,a,b,c,d,e,f,g,h,20
23,a,b,c,d,e,f,g,h,22
25,a,b,c,d,e,f,g,h,24
27,a,b,c,d,e,f,g,h,26
29,a,b,c,d,e,f,g,h,28
31,a,b,c,d,e,f,g,h,30
33,a,b,c,d,e,f,g,h,32
35,a,b,c,d,e,f,g,h,34
37,a,b,c,d,e,f,g,h,36
39,a,b,c,d,e,f,g,h,38
41,a,b,c,d,e,f,g,h,40
43,a,b,c,d,e,f,g,h,42
45,a,b,c,d,e,f,g,h,44
47,a,b,c,d,e,f,g,h,46
49,a,b,c,d,e,f,g,h,48
51,a,b,c,d,e,f,g,h,50
53,a,b,c,d,e,f,g,h,52
55,a,b,c,d,e,f,g,h,54
57,a,b,c,d,e,f,g,h,56
59,a,b,c,d,e,f,g,h,58
61,a,b,c,d,e,f,g,h,60
63,a,b,c,d,e,f,g,h,62
65,a,b,c,d,e,f,g,h,64
67,a,b,c,d,e,f,g,h,66
69,a,b,c,d,e,f,g,h,68
71,a,b,c,d,e,f,g,h,70
73,a,b,c,d,e,f,g,h,72
75,a,b,c,d,e,f,g,h,74
77,a,b,c,d,e,f,g,h,76
79,a,b,c,d,e,f,g,h,78
81,a,b,c,d,e,f,g,h,80
83,a,b,c,d,e,f,g,h,82
85,a,b,c,d,e,f,g,h,84
87,a,b,c,d,e,f,g,h,86
89,a,b,c,d,e,f,g,h,88
91,a,b,c,d,e,f,g,h,90
93,a,b,c,d,e,f,g,h,92
95,a,b,c,d,e,f,g,h,94
97,a,b,c,d,e,f,g,h,96
99,a,b,c,d,e,f,g,h,98
101,a,b,c,d,e,f,g,h,100
103,a,b,c,d,e,f,g,h,102
105,a,b,c,d,e,f,g,h,104
107,a,b,c,d,e,f,g,h,106
109,a,b,c,d,e,f,g,h,108
111,a,b,c,d,e,f,g,h,110
113,a,b,c,d,e,f,g,h,112
115,a,b,c,d,e,f,g,h,114
117,a,b,c,d,e,f,g,h,116
119,a,b,c,d,e,f,g,h,118

@NAMES
0 dead
1 alive
2 00
3 10
4 (1)0
5 0(0)
6 1(0)
7 01
8 11
9 (1)1
10 [10;00](0)
11 [10;00](1)
12 [(1)0;00](0)
13 [(1)0;00](1)
14 [0(0);00](0)
15 [0(0);00](1)
16 [1(0);00](0)
17 [1(0);00](1)
18 [01;00](0)
19 [01;00](1)
20 [(1)1;00](0)
21 [(1)1;00](1)
22 [00;10](0)
23 [00;10](1)
24 [(1)0;10](0)
25 [(1)0;10](1)
26 [0(0);10](0)
27 [0(0);10](1)
28 [1(0);10](0)
29 [1(0);10](1)
30 [01;10](0)
31 [01;10](1)
32 [11;10](0)
33 [11;10](1)
34 [(1)1;10](0)
35 [(1)1;10](1)
36 [00;(1)0](0)
37 [00;(1)0](1)
38 [10;(1)0](0)
39 [10;(1)0](1)
40 [0(0);(1)0](0)
41 [0(0);(1)0](1)
42 [1(0);(1)0](0)
43 [1(0);(1)0](1)
44 [01;(1)0](0)
45 [01;(1)0](1)
46 [11;(1)0](0)
47 [11;(1)0](1)
48 [(1)1;(1)0](0)
49 [(1)1;(1)0](1)
50 [00;0(0)](0)
51 [00;0(0)](1)
52 [10;0(0)](0)
53 [10;0(0)](1)
54 [(1)0;0(0)](0)
55 [(1)0;0(0)](1)
56 [1(0);0(0)](0)
57 [1(0);0(0)](1)
58 [01;0(0)](0)
59 [01;0(0)](1)
60 [11;0(0)](0)
61 [11;0(0)](1)
62 [(1)1;0(0)](0)
63 [(1)1;0(0)](1)
64 [00;1(0)](0)
65 [00;1(0)](1)
66 [10;1(0)](0)
67 [10;1(0)](1)
68 [(1)0;1(0)](0)
69 [(1)0;1(0)](1)
70 [0(0);1(0)](0)
71 [0(0);1(0)](1)
72 [01;1(0)](0)
73 [01;1(0)](1)
74 [11;1(0)](0)
75 [11;1(0)](1)
76 [(1)1;1(0)](0)
77 [(1)1;1(0)](1)
78 [00;01](0)
79 [00;01](1)
80 [10;01](0)
81 [10;01](1)
82 [(1)0;01](0)
83 [(1)0;01](1)
84 [0(0);01](0)
85 [0(0);01](1)
86 [1(0);01](0)
87 [1(0);01](1)
88 [11;01](0)
89 [11;01](1)
90 [(1)1;01](0)
91 [(1)1;01](1)
92 [00;11](0)
93 [00;11](1)
94 [10;11](0)
95 [10;11](1)
96 [(1)0;11](0)
97 [(1)0;11](1)
98 [0(0);11](0)
99 [0(0);11](1)
100 [1(0);11](0)
101 [1(0);11](1)
102 [01;11](0)
103 [01;11](1)
104 [(1)1;11](0)
105 [(1)1;11](1)
106 [00;(1)1](0)
107 [00;(1)1](1)
108 [10;(1)1](0)
109 [10;(1)1](1)
110 [(1)0;(1)1](0)
111 [(1)0;(1)1](1)
112 [0(0);(1)1](0)
113 [0(0);(1)1](1)
114 [1(0);(1)1](0)
115 [1(0);(1)1](1)
116 [01;(1)1](0)
117 [01;(1)1](1)
118 [11;(1)1](0)
119 [11;(1)1](1)

@COLORS
0 48 48 48
1 0 255 0
2 128 128 128
3 128 0 255
4 128 128 48
5 192 0 0
6 255 0 0
7 255 0 128
8 255 255 255
9 255 255 0
10 255 128 0
11 255 148 64
12 128 255 0
13 148 255 64
14 0 128 255
15 64 148 255
16 0 255 128
17 64 255 148
18 128 48 48
19 192 110 110
20 48 128 48
21 110 192 110
22 48 48 128
23 110 110 192
24 64 0 0
25 128 0 0
26 0 64 0
27 0 128 0
28 0 0 64
29 0 0 128
30 64 64 0
31 128 128 0
32 0 64 64
33 0 128 128
34 64 0 64
35 128 0 128
36 64 32 0
37 128 64 0
38 32 64 0
39 64 128 0
40 0 64 32
41 0 128 64
42 0 32 64
43 0 64 128
44 32 0 64
45 64 0 128
46 64 0 32
47 128 0 64
48 255 64 64
49 255 128 128
50 255 255 64
51 255 255 128
52 64 255 64
53 128 255 128
54 64 255 255
55 128 255 255
56 64 64 255
57 128 128 255
58 255 64 255
59 255 128 255
60 128 80 80
61 200 160 160
62 128 128 80
63 200 200 160
64 80 128 80
65 160 200 160
66 80 128 128
67 160 200 200
68 80 80 128
69 160 160 200
70 128 80 128
71 200 160 200
72 255 80 0
73 255 160 0
74 255 0 80
75 255 0 160
76 80 255 0
77 160 255 0
78 0 255 80
79 0 255 160
80 80 0 255
81 160 0 255
82 0 80 255
83 0 160 255
84 255 128 50
85 255 128 100
86 128 255 50
87 128 255 100
88 50 255 128
89 100 255 128
90 50 128 255
91 100 128 255
92 128 50 255
93 128 100 255
94 255 50 128
95 255 100 128
96 255 128 64
97 255 192 128
98 128 255 64
99 192 255 128
100 64 255 128
101 128 255 192
102 64 128 255
103 128 192 255
104 128 64 255
105 192 128 255
106 255 64 128
107 255 128 192
108 255 80 80
109 128 160 160
110 255 255 80
111 128 128 160
112 80 255 80
113 160 128 160
114 80 255 255
115 160 128 128
116 80 80 255
117 160 160 128
118 255 80 255
119 128 160 128

Rule:MealSlope

2025-01-08T03:14:39Z

CARuler: Created page with "@RULE mealSlope @TABLE n_states:6 neighborhood:Moore symmetries:none var a = {0,1,2,3,4,5} var b = a var c = a var d = a var e = a var f = a var g = a var h = a var i = {1,2,3,5} var j = {1,4} 0,0,0,0,0,2,0,0,0,3 1,i,0,0,0,4,0,0,0,4 1,4,0,0,0,1,0,0,0,4 1,0,i,0,0,4,0,0,0,4 1,0,4,0,0,1,0,0,0,4 1,4,0,0,0,0,1,0,0,4 1,i,0,0,0,0,4,0,0,4 1,0,4,0,0,0,1,0,0,4 1,0,i,0,0,0,4,0,0,4 3,0,0,0,0,4,0,0,0,5 3,0,0,0,0,0,4,0,0,5 0,0,0,0,0,0,5,0,0,3 2,0,0,0,0,1,0,0,0,1 2,0,0,0,0,0,1,0,0,1 2..."

@RULE mealSlope
@TABLE
n_states:6
neighborhood:Moore
symmetries:none
var a = {0,1,2,3,4,5}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
var i = {1,2,3,5}
var j = {1,4}

0,0,0,0,0,2,0,0,0,3
1,i,0,0,0,4,0,0,0,4
1,4,0,0,0,1,0,0,0,4
1,0,i,0,0,4,0,0,0,4
1,0,4,0,0,1,0,0,0,4
1,4,0,0,0,0,1,0,0,4
1,i,0,0,0,0,4,0,0,4
1,0,4,0,0,0,1,0,0,4
1,0,i,0,0,0,4,0,0,4
3,0,0,0,0,4,0,0,0,5
3,0,0,0,0,0,4,0,0,5
0,0,0,0,0,0,5,0,0,3
2,0,0,0,0,1,0,0,0,1
2,0,0,0,0,0,1,0,0,1
2,0,0,0,0,4,0,0,0,4
2,0,0,0,0,0,4,0,0,4
1,j,0,0,0,2,0,0,0,3
1,0,j,0,0,2,0,0,0,3
1,j,0,0,0,0,2,0,0,3
1,0,j,0,0,0,2,0,0,3

#defaults
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,2
4,a,b,c,d,e,f,g,h,1
5,a,b,c,d,e,f,g,h,1
@COLORS
0 0 0 0
1 0 0 255
2 255 255 0
3 255 0 255
4 0 255 255
5 0 255 0

Rule:Test202412g7p661a

2024-12-26T01:20:24Z

CARuler: Created page with " @RULE Test202412g7p661a @TABLE n_states:7 neighborhood:Moore symmetries:permute var x={0,1,2,3,4,5,6} var x1=x var x2=x var x3=x var x4=x var x5=x var x6=x var x7=x var x8=x 0,0,0,0,0,0,4,4,6,1 0,0,0,0,0,0,4,4,5,1 0,0,0,0,0,0,3,4,6,1 0,0,0,0,0,0,3,4,5,1 0,0,0,0,0,0,3,4,4,1 0,0,0,0,0,0,3,3,6,1 0,0,0,0,0,0,3,3,5,1 0,0,0,0,0,0,3,3,4,1 0,0,0,0,0,0,3,3,3,1 0,0,0,0,0,0,2,6,6,1 0,0,0,0,0,0,2,5,6,1 0,0,0,0,0,0,2,5,5,1 0,0,0,0,0,0,2,4,5,1 0,0,0,0,0,0,2,4,4,1 0,0,0,0,0,0,2,3,..."

@RULE Test202412g7p661a

@TABLE

n_states:7
neighborhood:Moore
symmetries:permute

var x={0,1,2,3,4,5,6}
var x1=x
var x2=x
var x3=x
var x4=x
var x5=x
var x6=x
var x7=x
var x8=x

0,0,0,0,0,0,4,4,6,1
0,0,0,0,0,0,4,4,5,1
0,0,0,0,0,0,3,4,6,1
0,0,0,0,0,0,3,4,5,1
0,0,0,0,0,0,3,4,4,1
0,0,0,0,0,0,3,3,6,1
0,0,0,0,0,0,3,3,5,1
0,0,0,0,0,0,3,3,4,1
0,0,0,0,0,0,3,3,3,1
0,0,0,0,0,0,2,6,6,1
0,0,0,0,0,0,2,5,6,1
0,0,0,0,0,0,2,5,5,1
0,0,0,0,0,0,2,4,5,1
0,0,0,0,0,0,2,4,4,1
0,0,0,0,0,0,2,3,6,1
0,0,0,0,0,0,2,3,5,1
0,0,0,0,0,0,2,3,4,1
0,0,0,0,0,0,2,3,3,1
0,0,0,0,0,0,2,2,6,1
0,0,0,0,0,0,2,2,5,1
0,0,0,0,0,0,2,2,4,1
0,0,0,0,2,2,4,4,6,1
0,0,0,0,0,0,2,2,3,1
0,0,0,0,2,2,3,5,6,1
0,0,0,0,2,2,3,4,5,1
0,0,0,0,2,2,3,3,6,1
0,0,0,2,2,3,3,5,5,1
0,0,0,2,2,3,3,4,4,1
0,0,0,0,2,2,3,3,3,1
0,0,0,2,2,3,3,3,3,1
0,0,0,0,0,0,2,2,2,1
0,0,0,0,2,2,2,5,5,1
0,0,0,0,2,2,2,4,4,1
0,0,0,0,2,2,2,3,4,1
0,0,0,0,2,2,2,3,3,1
0,0,0,2,2,2,2,5,5,1
0,0,0,2,2,2,2,3,3,1
0,0,0,2,2,2,2,2,2,1
0,0,0,0,0,0,1,6,6,1
0,0,0,0,0,0,1,5,6,1
0,0,0,0,0,0,1,5,5,1
0,0,0,0,0,0,1,4,6,1
0,0,0,0,0,0,1,4,5,1
0,0,0,0,0,0,1,4,4,1
0,0,0,0,0,0,1,3,6,1
0,0,0,0,0,0,1,3,5,1
0,0,0,0,0,0,1,3,4,1
0,0,0,0,1,3,4,4,6,1
0,0,0,0,1,3,4,4,5,1
0,0,0,0,0,0,1,3,3,1
0,0,0,0,1,3,3,6,6,1
0,0,0,0,1,3,3,5,5,1
0,0,0,0,1,3,3,4,6,1
0,0,0,0,1,3,3,4,5,1
0,0,0,0,1,3,3,4,4,1
0,0,0,0,1,3,3,3,5,1
0,0,0,0,1,3,3,3,3,1
0,0,0,0,0,0,1,2,6,1
0,0,0,0,0,0,1,2,5,1
0,0,0,0,0,0,1,2,4,1
0,0,0,0,1,2,4,4,6,1
0,0,0,0,0,0,1,2,3,1
0,0,0,0,1,2,3,6,6,1
0,0,0,0,1,2,3,5,6,1
0,0,0,0,1,2,3,5,5,1
0,0,0,0,1,2,3,4,6,1
0,0,0,0,1,2,3,4,5,1
0,0,0,0,1,2,3,4,4,1
0,0,0,0,1,2,3,3,6,1
0,0,0,1,2,3,3,6,6,1
0,0,0,0,1,2,3,3,5,1
0,0,0,0,1,2,3,3,4,1
0,0,0,1,2,3,3,4,6,1
0,0,0,0,1,2,3,3,3,1
0,0,0,1,2,3,3,3,5,1
0,0,0,0,0,0,1,2,2,1
0,0,0,0,1,2,2,6,6,1
0,0,0,0,1,2,2,5,6,1
0,0,0,0,1,2,2,5,5,1
0,0,0,0,1,2,2,4,6,1
0,0,0,0,1,2,2,4,5,1
0,0,0,0,1,2,2,4,4,1
0,0,0,0,1,2,2,3,6,1
0,0,0,0,1,2,2,3,5,1
0,0,0,0,1,2,2,3,4,1
0,0,0,1,2,2,3,4,4,1
0,0,0,0,1,2,2,3,3,1
0,0,0,1,2,2,3,3,4,1
0,0,0,0,1,2,2,2,6,1
0,0,0,0,1,2,2,2,5,1
0,0,0,0,1,2,2,2,4,1
0,0,0,1,2,2,2,4,5,1
0,0,0,0,1,2,2,2,3,1
0,0,0,1,2,2,2,3,6,1
0,0,0,1,2,2,2,3,5,1
0,0,0,1,2,2,2,3,3,1
0,0,0,0,1,2,2,2,2,1
0,0,0,1,2,2,2,2,6,1
0,0,0,1,2,2,2,2,5,1
0,0,0,1,2,2,2,2,4,1
0,0,0,1,2,2,2,2,2,1
0,0,0,0,0,0,1,1,6,1
0,0,0,0,0,0,1,1,5,1
0,0,0,0,0,0,1,1,4,1
0,0,0,0,1,1,4,5,6,1
0,0,0,1,1,4,5,5,6,1
0,0,0,0,1,1,4,4,6,1
0,0,0,1,1,4,4,6,6,1
0,0,0,0,1,1,4,4,5,1
0,0,0,1,1,4,4,4,4,1
0,0,0,0,0,0,1,1,3,1
0,0,0,0,1,1,3,6,6,1
0,0,0,1,1,3,6,6,6,1
0,0,0,0,1,1,3,5,6,1
0,0,0,0,1,1,3,5,5,1
0,0,0,0,1,1,3,4,6,1
0,0,0,0,1,1,3,4,5,1
0,0,0,1,1,3,4,5,6,1
0,0,0,1,1,3,4,5,5,1
0,0,0,0,1,1,3,4,4,1
0,0,0,1,1,3,4,4,6,1
0,0,0,1,1,3,4,4,5,1
0,0,0,1,1,3,4,4,4,1
0,0,0,0,1,1,3,3,6,1
0,0,0,0,1,1,3,3,5,1
0,0,0,1,1,3,3,5,5,1
0,0,0,0,1,1,3,3,4,1
0,0,0,1,1,3,3,4,6,1
0,0,0,1,1,3,3,4,5,1
0,0,0,1,1,3,3,4,4,1
0,0,0,0,1,1,3,3,3,1
0,0,0,1,1,3,3,3,6,1
0,0,0,1,1,3,3,3,5,1
0,0,0,1,1,3,3,3,4,1
0,0,0,1,1,3,3,3,3,1
0,0,0,0,0,0,1,1,2,1
0,0,0,0,1,1,2,6,6,1
0,0,0,0,1,1,2,5,6,1
0,0,0,0,1,1,2,5,5,1
0,0,0,0,1,1,2,4,6,1
0,0,0,1,1,2,4,6,6,1
0,0,0,0,1,1,2,4,5,1
0,0,0,1,1,2,4,5,6,1
0,0,0,1,1,2,4,5,5,1
0,0,0,0,1,1,2,4,4,1
0,0,0,1,1,2,4,4,6,1
0,0,0,1,1,2,4,4,5,1
0,0,0,1,1,2,4,4,4,1
0,0,0,0,1,1,2,3,6,1
0,0,0,0,1,1,2,3,5,1
0,0,0,1,1,2,3,5,5,1
0,0,0,0,1,1,2,3,4,1
0,0,0,1,1,2,3,4,6,1
0,0,0,1,1,2,3,4,5,1
0,0,0,1,1,2,3,4,4,1
0,0,0,0,1,1,2,3,3,1
0,0,0,1,1,2,3,3,6,1
0,0,0,1,1,2,3,3,5,1
0,0,0,1,1,2,3,3,4,1
0,0,0,1,1,2,3,3,3,1
0,0,0,0,1,1,2,2,6,1
0,0,0,1,1,2,2,6,6,1
0,0,0,0,1,1,2,2,5,1
0,0,0,1,1,2,2,5,6,1
0,0,0,1,1,2,2,5,5,1
0,0,0,0,1,1,2,2,4,1
0,0,0,1,1,2,2,4,6,1
0,0,0,1,1,2,2,4,5,1
0,0,0,1,1,2,2,4,4,1
0,0,0,0,1,1,2,2,3,1
0,0,0,1,1,2,2,3,6,1
0,0,0,1,1,2,2,3,5,1
0,0,0,1,1,2,2,3,4,1
0,0,0,1,1,2,2,3,3,1
0,0,0,0,1,1,2,2,2,1
0,0,0,1,1,2,2,2,6,1
0,0,0,1,1,2,2,2,5,1
0,0,0,1,1,2,2,2,4,1
0,0,0,1,1,2,2,2,3,1
0,0,0,1,1,2,2,2,2,1
0,0,0,0,0,0,1,1,1,1
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x, x1,x2,x3,x4,x5,x6,x7,x8, 0

Rule:BeeLife2

2024-12-19T00:28:18Z

CARuler:

@RULE BeeLife2
@COLORS
0 255 255 0 0 255
1 255 255 255
@NAMES
0 dead
1 alive
@TABLE
n_states:13
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6,7,8,9,10,11,12}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var b1 = {0,2,3,4,5,6}
var b2 = b1
var b3 = b2
var b4 = b3
var b5 = b4
var b6 = b5
var c1 = {7,8,9,10,11,12}
var c2 = c1
var c3 = c2
var c4 = c3
var c5 = c4
var c6 = c5
# transition setup
0 a1,1,a2,0,a3,0,a4,0 2
0 a1,1,a2,1,a3,0,a4,0 3
0 a1,1,a2,0,a3,1,a4,0 4
0 a1,1,a2,1,a3,1,a4,0 5
0 a1,1,a2,1,a3,1,a4,1 6
1 a1,0,a2,0,a3,0,a4,0 7
1 a1,1,a2,0,a3,0,a4,0 8
1 a1,1,a2,1,a3,0,a4,0 9
1 a1,1,a2,0,a3,1,a4,0 10
1 a1,1,a2,1,a3,1,a4,0 11
1 a1,1,a2,1,a3,1,a4,1 12
# transitions
0,0,4,0,4,0,4,0,4,1
12,12,12,12,12,12,9,9,9,1
3,3,0,8,9,9,9,8,0,1
2,2,0,0,8,0,2,0,0,1
0,2,3,2,4,2,3,2,0,1

# cgol
b1 b2,c1,b3,c2,b4,c3,b5,b6 1
b1 c1,b2,c2,b3,c3,b4,b5,b6 1
b1 c1,b2,c2,b3,b4,c3,b5,b6 1
b1 c1,c2,c3,b2,b3,b4,b5,b6 1
b1 b2,c1,c2,c3,b3,b4,b5,b6 1
b1 c1,c2,b2,c3,b3,b4,b5,b6 1
b1 c1,b2,c2,c3,b3,b4,b5,b6 1
b1 c1,c2,b2,b3,b4,c3,b5,b6 1
b1 c1,c2,b2,b3,c3,b4,b5,b6 1
b1 c1,b2,b3,c2,b4,c3,b5,b6 1
c1 b1,c2,b2,c3,b3,b4,b5,b6 1
c1 c2,b1,c3,b2,b3,b4,b5,b6 1
c1 c2,b1,b2,c3,b3,b4,b5,b6 1
c1 c2,c3,b1,b2,b3,b4,b5,b6 1
c1 c2,b1,b2,b3,c3,b4,b5,b6 1
c1 b1,c2,b2,b3,b4,c3,b5,b6 1
c4 b2,c1,b3,c2,b4,c3,b5,b6 1
c4 c1,b2,c2,b3,c3,b4,b5,b6 1
c4 c1,b2,c2,b3,b4,c3,b5,b6 1
c4 c1,c2,c3,b2,b3,b4,b5,b6 1
c4 b2,c1,c2,c3,b3,b4,b5,b6 1
c4 c1,c2,b2,c3,b3,b4,b5,b6 1
c4 c1,b2,c2,c3,b3,b4,b5,b6 1
c4 c1,c2,b2,b3,b4,c3,b5,b6 1
c4 c1,c2,b2,b3,c3,b4,b5,b6 1
c4 c1,b2,b3,c2,b4,c3,b5,b6 1
# added transitions
3,9,0,8,8,3,8,8,0,1
12,12,9,9,8,9,8,9,9,1
a, a1, a2, a3, a4, a5, a6, a7, a8, 0

Rule:BeeLife2

2024-12-19T00:28:06Z

CARuler: Created page with "x = 4, y = 3, rule = BeeLife2 .2A$A2.A$3A! STEP 2 @RULE BeeLife2 @COLORS 0 255 255 0 0 255 1 255 255 255 @NAMES 0 dead 1 alive @TABLE n_states:13 neighborhood:Moore symmetries:rotate4reflect var a={0,1,2,3,4,5,6,7,8,9,10,11,12} var a1=a var a2=a var a3=a var a4=a var a5=a var a6=a var a7=a var a8=a var b1 = {0,2,3,4,5,6} var b2 = b1 var b3 = b2 var b4 = b3 var b5 = b4 var b6 = b5 var c1 = {7,8,9,10,11,12} var c2 = c1 var c3 = c2 var c4 = c3 var c5 = c4 var c6 = c5..."

x = 4, y = 3, rule = BeeLife2
.2A$A2.A$3A!

[[ STEP 2 ]]
@RULE BeeLife2
@COLORS
0 255 255 0 0 255
1 255 255 255
@NAMES
0 dead
1 alive
@TABLE
n_states:13
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6,7,8,9,10,11,12}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var b1 = {0,2,3,4,5,6}
var b2 = b1
var b3 = b2
var b4 = b3
var b5 = b4
var b6 = b5
var c1 = {7,8,9,10,11,12}
var c2 = c1
var c3 = c2
var c4 = c3
var c5 = c4
var c6 = c5
# transition setup
0 a1,1,a2,0,a3,0,a4,0 2
0 a1,1,a2,1,a3,0,a4,0 3
0 a1,1,a2,0,a3,1,a4,0 4
0 a1,1,a2,1,a3,1,a4,0 5
0 a1,1,a2,1,a3,1,a4,1 6
1 a1,0,a2,0,a3,0,a4,0 7
1 a1,1,a2,0,a3,0,a4,0 8
1 a1,1,a2,1,a3,0,a4,0 9
1 a1,1,a2,0,a3,1,a4,0 10
1 a1,1,a2,1,a3,1,a4,0 11
1 a1,1,a2,1,a3,1,a4,1 12
# transitions
0,0,4,0,4,0,4,0,4,1
12,12,12,12,12,12,9,9,9,1
3,3,0,8,9,9,9,8,0,1
2,2,0,0,8,0,2,0,0,1
0,2,3,2,4,2,3,2,0,1

# cgol
b1 b2,c1,b3,c2,b4,c3,b5,b6 1
b1 c1,b2,c2,b3,c3,b4,b5,b6 1
b1 c1,b2,c2,b3,b4,c3,b5,b6 1
b1 c1,c2,c3,b2,b3,b4,b5,b6 1
b1 b2,c1,c2,c3,b3,b4,b5,b6 1
b1 c1,c2,b2,c3,b3,b4,b5,b6 1
b1 c1,b2,c2,c3,b3,b4,b5,b6 1
b1 c1,c2,b2,b3,b4,c3,b5,b6 1
b1 c1,c2,b2,b3,c3,b4,b5,b6 1
b1 c1,b2,b3,c2,b4,c3,b5,b6 1
c1 b1,c2,b2,c3,b3,b4,b5,b6 1
c1 c2,b1,c3,b2,b3,b4,b5,b6 1
c1 c2,b1,b2,c3,b3,b4,b5,b6 1
c1 c2,c3,b1,b2,b3,b4,b5,b6 1
c1 c2,b1,b2,b3,c3,b4,b5,b6 1
c1 b1,c2,b2,b3,b4,c3,b5,b6 1
c4 b2,c1,b3,c2,b4,c3,b5,b6 1
c4 c1,b2,c2,b3,c3,b4,b5,b6 1
c4 c1,b2,c2,b3,b4,c3,b5,b6 1
c4 c1,c2,c3,b2,b3,b4,b5,b6 1
c4 b2,c1,c2,c3,b3,b4,b5,b6 1
c4 c1,c2,b2,c3,b3,b4,b5,b6 1
c4 c1,b2,c2,c3,b3,b4,b5,b6 1
c4 c1,c2,b2,b3,b4,c3,b5,b6 1
c4 c1,c2,b2,b3,c3,b4,b5,b6 1
c4 c1,b2,b3,c2,b4,c3,b5,b6 1
# added transitions
3,9,0,8,8,3,8,8,0,1
12,12,9,9,8,9,8,9,9,1
a, a1, a2, a3, a4, a5, a6, a7, a8, 0

Rule:Accumulation

2024-12-04T02:31:19Z

CARuler: Created page with "@RULE accumulation @TABLE n_states:3 neighborhood:Moore symmetries:permute var a1 = {0,1} var a2 = {0,1} var a3 = {0,1} var a4 = {0,1} var a5 = {0,1} var a6 = {0,1} var a7 = {0,1} var a8 = {0,1} var a9 = {0,1} var b1 = {0,2} var b2 = {0,2} var b3 = {0,2} var b4 = {0,2} var b5 = {0,2} var b6 = {0,2} var b7 = {0,2} var b8 = {0,2} var b9 = {0,2} var c1 = {1,2} var c2 = {1,2} var c3 = {1,2} var c4 = {1,2} var c5 = {1,2} var c6 = {1,2} var c7 = {1,2} var c8 = {1,2} var c9 =..."

@RULE accumulation

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a1 = {0,1}
var a2 = {0,1}
var a3 = {0,1}
var a4 = {0,1}
var a5 = {0,1}
var a6 = {0,1}
var a7 = {0,1}
var a8 = {0,1}
var a9 = {0,1}
var b1 = {0,2}
var b2 = {0,2}
var b3 = {0,2}
var b4 = {0,2}
var b5 = {0,2}
var b6 = {0,2}
var b7 = {0,2}
var b8 = {0,2}
var b9 = {0,2}
var c1 = {1,2}
var c2 = {1,2}
var c3 = {1,2}
var c4 = {1,2}
var c5 = {1,2}
var c6 = {1,2}
var c7 = {1,2}
var c8 = {1,2}
var c9 = {1,2}
var e1 = {0,1,2}
var e2 = {0,1,2}
var e3 = {0,1,2}
var e4 = {0,1,2}
var e5 = {0,1,2}
var e6 = {0,1,2}
var e7 = {0,1,2}
var e8 = {0,1,2}
var e9 = {0,1,2}
1, 1,1,0,0,0,0,0,0, 1
a1, 1,1,1,1,1,1,0,0, 1
a1, 1,1,1,0,0,0,0,0, 1
1, 1,1,1,1,1,1,1,1, 2
1, 2,e1,e2,e3,e4,e5,e6,e7, 2
1, a1,a2,a3,a4,a5,a6,a7,a8, 0
1, b1,b2,b3,b4,b5,b6,b7,b8, 2
@COLORS
0 0 0 0
1 255 255 255
2 255 0 0

Rule:SpaceY

2024-11-11T01:39:04Z

CARuler:

@RULE SpaceY

@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3,4,5}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
0,2,2,2,0,0,0,0,0,2
2,0,2,2,2,0,0,0,0,2
2,2,0,2,3,0,3,2,0,2
3,2,2,0,5,0,0,0,0,4
0,5,0,3,2,2,2,3,0,5
2,2,0,2,0,2,0,0,0,2
0,0,2,2,2,0,0,0,0,2
2,2,2,0,0,0,0,0,0,2
0,2,2,2,5,4,0,0,0,3
5,4,0,2,0,4,0,0,0,5
2,0,3,2,3,0,0,0,0,2
0,2,2,3,0,0,0,0,0,4
3,2,2,2,2,0,0,0,0,3
0,4,0,2,3,0,0,0,0,5
2,3,2,2,5,0,4,0,0,5
2,2,0,2,0,0,0,0,0,2
2,0,2,0,2,0,0,0,0,2
2,2,0,0,2,0,0,0,0,2
2,2,0,0,0,2,0,0,0,2
2,0,2,0,0,0,2,0,0,2
2,0,2,0,2,0,2,0,0,2
2,2,0,2,0,0,2,0,0,2
2,2,2,2,0,0,0,0,0,2
2,2,2,0,2,0,0,0,0,2
2,2,0,0,2,0,2,0,0,2
2,2,2,0,0,0,2,0,0,2
2,2,0,2,2,0,0,0,0,2
2,2,2,0,0,2,0,0,0,2
0,0,2,0,2,0,2,0,0,2
0,2,0,2,0,2,0,0,0,2
0,2,0,2,0,0,2,0,0,2
0,2,2,0,2,0,0,0,0,2
0,2,0,0,2,0,2,0,0,2
0,2,2,0,0,0,2,0,0,2
0,2,0,2,2,0,0,0,0,2
0,2,2,0,0,2,0,0,0,2
0,2,0,2,2,0,2,0,0,5
0,0,4,4,4,0,4,4,4,4
0,4,4,0,4,4,0,0,0,4
0,4,0,0,0,4,0,0,0,4
0,4,4,0,0,4,0,0,0,4
0,4,4,0,4,0,0,0,0,4
0,4,0,0,4,4,4,0,0,4
0,0,4,4,4,0,4,0,4,4
0,4,4,4,4,4,0,0,0,4
0,4,4,4,0,0,0,0,0,4
0,4,4,0,5,0,0,0,0,4
0,5,0,0,4,4,4,0,0,4
0,4,5,0,4,4,0,0,0,4
0,0,4,5,4,0,4,4,4,4
0,4,4,5,0,3,0,0,0,4
5,0,4,4,4,0,3,0,3,4
5,2,0,4,4,4,4,4,0,5
0,3,0,5,0,0,3,0,0,3
0,0,3,3,3,0,4,0,0,3
0,4,0,0,3,3,3,0,0,3
5,2,0,4,3,0,3,4,0,5
1,4,0,0,0,0,0,0,0,0
0,4,1,0,0,0,0,0,0,4
0,4,4,0,0,3,0,0,0,4
0,1,4,0,0,0,0,0,0,5
0,3,3,0,0,0,3,0,0,3
0,3,3,3,3,0,0,0,0,3
0,0,4,4,4,0,3,0,3,4
0,3,3,3,0,3,0,0,0,3
0,0,5,0,5,0,0,0,0,1
0,5,4,0,4,5,0,0,0,4
3,3,4,0,4,3,0,0,0,3
3,3,0,4,0,3,0,0,0,3
3,3,4,0,4,0,0,0,0,3
3,0,4,4,4,0,0,0,0,3
0,3,4,4,0,3,0,0,0,3
4,4,3,0,3,0,0,0,0,3
4,4,3,0,0,0,0,0,0,3
0,0,4,3,3,3,3,0,0,3
0,3,4,4,4,3,3,3,0,3
4,4,0,3,0,0,0,0,0,2
3,3,4,0,2,0,0,0,0,3
3,0,2,0,2,0,0,0,0,3
2,4,4,0,3,0,0,0,0,3
0,3,0,2,0,3,0,0,0,3
2,4,4,0,3,0,3,0,0,3
0,1,4,0,4,1,0,0,0,4
0,4,1,0,1,4,0,0,0,5
0,3,0,3,0,3,0,0,0,3
0,3,0,3,0,0,0,0,0,3
3,0,4,4,4,0,3,0,0,3
3,0,3,3,0,3,0,3,0,3
3,3,4,0,2,0,3,0,0,3
3,0,3,0,2,0,2,0,0,3
0,2,0,3,0,3,0,3,0,3
0,0,1,0,3,0,3,0,0,2
3,2,0,0,3,0,0,0,0,3
0,1,5,1,0,0,0,0,0,5
0,0,5,1,1,0,0,0,0,1
0,1,1,1,5,0,0,0,0,5
0,1,5,1,1,0,0,0,1,5
1,1,1,1,5,5,1,0,0,5
0,0,1,1,5,1,5,0,0,1
1,5,1,1,0,0,0,0,0,0
1,1,5,1,5,0,0,0,0,5
5,5,1,1,0,1,1,0,0,5
0,4,0,1,1,0,0,0,0,5
1,1,1,1,0,0,3,0,0,0
0,1,1,1,0,4,0,4,0,5
0,4,0,3,3,0,1,1,0,3
4,0,4,0,1,0,0,0,0,4
0,0,1,1,1,0,3,3,3,2
0,3,0,3,3,0,1,1,0,3
0,4,5,0,0,0,0,0,0,4
5,4,5,1,1,5,0,0,0,1
1,0,3,2,2,1,1,1,1,0
5,4,5,1,1,1,3,4,0,1
4,0,4,0,1,0,3,0,0,4
0,4,5,4,0,0,0,0,0,4
0,4,3,0,0,0,0,0,0,3
0,0,4,3,3,0,0,0,0,3
3,3,1,0,3,0,3,0,0,3
3,2,1,0,3,0,3,0,0,3
2,2,1,1,0,3,0,0,0,3
0,3,0,3,0,0,3,0,0,3
2,3,0,4,4,0,3,0,0,3
3,3,3,4,0,3,0,0,0,3
3,3,4,3,2,0,3,0,0,3
0,2,3,3,0,3,0,3,0,3
2,0,4,4,0,3,3,0,3,3
0,2,0,0,2,2,2,0,0,3
0,2,5,2,0,0,0,0,0,5
2,0,2,5,2,0,0,0,0,2
0,0,5,2,5,0,0,0,0,2
2,2,2,5,2,0,0,0,0,5
5,2,0,2,2,2,2,2,0,5
0,2,5,2,2,0,0,0,0,5
5,2,2,5,2,2,2,2,0,5
5,5,2,2,2,5,2,2,2,5
2,2,5,2,5,5,2,0,0,4
2,5,2,2,5,5,5,2,2,4
2,2,5,5,5,2,5,5,5,4
2,2,2,5,5,2,5,5,5,4
2,5,5,5,5,5,0,0,0,5
5,2,5,5,0,0,0,0,0,2
5,5,4,4,4,5,4,4,4,2
4,4,5,5,5,4,5,5,5,5
4,5,5,5,5,4,5,5,0,5
5,5,5,4,5,0,0,0,0,2
5,5,4,5,4,4,5,0,0,2
5,5,5,4,4,5,4,4,4,2
5,4,4,5,5,2,5,5,4,2
5,5,2,5,4,4,5,0,0,2
3,4,0,0,2,2,2,0,0,3
2,3,0,2,5,5,5,2,0,4
2,3,0,2,5,5,2,2,0,4
5,5,4,5,4,0,0,0,0,2
5,4,0,5,4,4,5,5,0,2
5,0,4,5,4,4,4,5,4,2
5,4,0,5,4,4,4,5,0,2
3,4,0,0,3,0,0,0,0,4
3,4,0,0,0,0,0,0,0,4
4,3,0,0,5,5,5,0,0,3
0,0,1,1,1,0,5,2,5,2
1,1,1,1,1,1,2,0,3,0
1,2,0,1,1,1,1,1,0,0
0,0,1,1,1,0,5,0,0,3
1,3,0,1,1,1,1,1,0,0
1,1,1,1,1,1,3,0,0,0
2,2,2,5,2,0,3,0,0,5
0,3,1,1,1,2,5,2,0,5
2,0,1,1,1,0,2,5,2,2
0,1,1,1,1,0,5,0,0,3
1,3,1,1,1,1,1,1,0,0
1,3,1,1,1,1,1,0,0,0
1,1,1,1,1,1,1,1,3,0
0,1,1,0,0,0,5,0,0,3
0,0,2,2,5,2,0,3,0,5
1,3,0,1,1,0,0,0,0,0
1,1,1,1,0,3,0,0,0,0
1,0,1,1,1,1,0,3,0,0
1,1,0,2,0,1,0,0,0,0
1,1,3,0,2,1,0,0,0,0
1,1,1,3,0,1,0,0,0,0
1,1,3,1,1,1,0,0,0,0
0,1,0,0,5,0,0,0,0,3
1,1,1,0,0,3,0,0,0,0
2,2,0,2,5,0,2,2,0,1
1,0,2,2,2,2,2,0,0,0
2,2,2,0,4,0,0,0,0,2
0,2,2,0,4,0,0,0,0,4

#defaults
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
4,a,b,c,d,e,f,g,h,0
5,a,b,c,d,e,f,g,h,0
@COLORS
0 0 0 0
1 68 68 68
2 255 255 255
3 0 255 255
4 0 0 255
5 255 128 0
@NAMES
0 default
1 rock
2 body
3 window
4 satellite
5 jet

Rule:SpaceY

2024-11-11T01:38:47Z

CARuler: Created page with "@RULE SpaceY @COLORS 0 0 0 0 1 68 68 68 2 255 255 255 3 0 255 255 4 0 0 255 5 255 128 0 @NAMES 0 default 1 rock 2 body 3 window 4 satellite 5 jet @TABLE n_states:6 neighborhood:Moore symmetries:rotate4reflect var a = {0,1,2,3,4,5} var b = a var c = a var d = a var e = a var f = a var g = a var h = a 0,2,2,2,0,0,0,0,0,2 2,0,2,2,2,0,0,0,0,2 2,2,0,2,3,0,3,2,0,2 3,2,2,0,5,0,0,0,0,4 0,5,0,3,2,2,2,3,0,5 2,2,0,2,0,2,0,0,0,2 0,0,2,2,2,0,0,0,0,2 2,2,2,0,0,0,0,0,..."

@RULE SpaceY
@COLORS
0 0 0 0
1 68 68 68
2 255 255 255
3 0 255 255
4 0 0 255
5 255 128 0
@NAMES
0 default
1 rock
2 body
3 window
4 satellite
5 jet
@TABLE
n_states:6
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3,4,5}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
0,2,2,2,0,0,0,0,0,2
2,0,2,2,2,0,0,0,0,2
2,2,0,2,3,0,3,2,0,2
3,2,2,0,5,0,0,0,0,4
0,5,0,3,2,2,2,3,0,5
2,2,0,2,0,2,0,0,0,2
0,0,2,2,2,0,0,0,0,2
2,2,2,0,0,0,0,0,0,2
0,2,2,2,5,4,0,0,0,3
5,4,0,2,0,4,0,0,0,5
2,0,3,2,3,0,0,0,0,2
0,2,2,3,0,0,0,0,0,4
3,2,2,2,2,0,0,0,0,3
0,4,0,2,3,0,0,0,0,5
2,3,2,2,5,0,4,0,0,5
2,2,0,2,0,0,0,0,0,2
2,0,2,0,2,0,0,0,0,2
2,2,0,0,2,0,0,0,0,2
2,2,0,0,0,2,0,0,0,2
2,0,2,0,0,0,2,0,0,2
2,0,2,0,2,0,2,0,0,2
2,2,0,2,0,0,2,0,0,2
2,2,2,2,0,0,0,0,0,2
2,2,2,0,2,0,0,0,0,2
2,2,0,0,2,0,2,0,0,2
2,2,2,0,0,0,2,0,0,2
2,2,0,2,2,0,0,0,0,2
2,2,2,0,0,2,0,0,0,2
0,0,2,0,2,0,2,0,0,2
0,2,0,2,0,2,0,0,0,2
0,2,0,2,0,0,2,0,0,2
0,2,2,0,2,0,0,0,0,2
0,2,0,0,2,0,2,0,0,2
0,2,2,0,0,0,2,0,0,2
0,2,0,2,2,0,0,0,0,2
0,2,2,0,0,2,0,0,0,2
0,2,0,2,2,0,2,0,0,5
0,0,4,4,4,0,4,4,4,4
0,4,4,0,4,4,0,0,0,4
0,4,0,0,0,4,0,0,0,4
0,4,4,0,0,4,0,0,0,4
0,4,4,0,4,0,0,0,0,4
0,4,0,0,4,4,4,0,0,4
0,0,4,4,4,0,4,0,4,4
0,4,4,4,4,4,0,0,0,4
0,4,4,4,0,0,0,0,0,4
0,4,4,0,5,0,0,0,0,4
0,5,0,0,4,4,4,0,0,4
0,4,5,0,4,4,0,0,0,4
0,0,4,5,4,0,4,4,4,4
0,4,4,5,0,3,0,0,0,4
5,0,4,4,4,0,3,0,3,4
5,2,0,4,4,4,4,4,0,5
0,3,0,5,0,0,3,0,0,3
0,0,3,3,3,0,4,0,0,3
0,4,0,0,3,3,3,0,0,3
5,2,0,4,3,0,3,4,0,5
1,4,0,0,0,0,0,0,0,0
0,4,1,0,0,0,0,0,0,4
0,4,4,0,0,3,0,0,0,4
0,1,4,0,0,0,0,0,0,5
0,3,3,0,0,0,3,0,0,3
0,3,3,3,3,0,0,0,0,3
0,0,4,4,4,0,3,0,3,4
0,3,3,3,0,3,0,0,0,3
0,0,5,0,5,0,0,0,0,1
0,5,4,0,4,5,0,0,0,4
3,3,4,0,4,3,0,0,0,3
3,3,0,4,0,3,0,0,0,3
3,3,4,0,4,0,0,0,0,3
3,0,4,4,4,0,0,0,0,3
0,3,4,4,0,3,0,0,0,3
4,4,3,0,3,0,0,0,0,3
4,4,3,0,0,0,0,0,0,3
0,0,4,3,3,3,3,0,0,3
0,3,4,4,4,3,3,3,0,3
4,4,0,3,0,0,0,0,0,2
3,3,4,0,2,0,0,0,0,3
3,0,2,0,2,0,0,0,0,3
2,4,4,0,3,0,0,0,0,3
0,3,0,2,0,3,0,0,0,3
2,4,4,0,3,0,3,0,0,3
0,1,4,0,4,1,0,0,0,4
0,4,1,0,1,4,0,0,0,5
0,3,0,3,0,3,0,0,0,3
0,3,0,3,0,0,0,0,0,3
3,0,4,4,4,0,3,0,0,3
3,0,3,3,0,3,0,3,0,3
3,3,4,0,2,0,3,0,0,3
3,0,3,0,2,0,2,0,0,3
0,2,0,3,0,3,0,3,0,3
0,0,1,0,3,0,3,0,0,2
3,2,0,0,3,0,0,0,0,3
0,1,5,1,0,0,0,0,0,5
0,0,5,1,1,0,0,0,0,1
0,1,1,1,5,0,0,0,0,5
0,1,5,1,1,0,0,0,1,5
1,1,1,1,5,5,1,0,0,5
0,0,1,1,5,1,5,0,0,1
1,5,1,1,0,0,0,0,0,0
1,1,5,1,5,0,0,0,0,5
5,5,1,1,0,1,1,0,0,5
0,4,0,1,1,0,0,0,0,5
1,1,1,1,0,0,3,0,0,0
0,1,1,1,0,4,0,4,0,5
0,4,0,3,3,0,1,1,0,3
4,0,4,0,1,0,0,0,0,4
0,0,1,1,1,0,3,3,3,2
0,3,0,3,3,0,1,1,0,3
0,4,5,0,0,0,0,0,0,4
5,4,5,1,1,5,0,0,0,1
1,0,3,2,2,1,1,1,1,0
5,4,5,1,1,1,3,4,0,1
4,0,4,0,1,0,3,0,0,4
0,4,5,4,0,0,0,0,0,4
0,4,3,0,0,0,0,0,0,3
0,0,4,3,3,0,0,0,0,3
3,3,1,0,3,0,3,0,0,3
3,2,1,0,3,0,3,0,0,3
2,2,1,1,0,3,0,0,0,3
0,3,0,3,0,0,3,0,0,3
2,3,0,4,4,0,3,0,0,3
3,3,3,4,0,3,0,0,0,3
3,3,4,3,2,0,3,0,0,3
0,2,3,3,0,3,0,3,0,3
2,0,4,4,0,3,3,0,3,3
0,2,0,0,2,2,2,0,0,3
0,2,5,2,0,0,0,0,0,5
2,0,2,5,2,0,0,0,0,2
0,0,5,2,5,0,0,0,0,2
2,2,2,5,2,0,0,0,0,5
5,2,0,2,2,2,2,2,0,5
0,2,5,2,2,0,0,0,0,5
5,2,2,5,2,2,2,2,0,5
5,5,2,2,2,5,2,2,2,5
2,2,5,2,5,5,2,0,0,4
2,5,2,2,5,5,5,2,2,4
2,2,5,5,5,2,5,5,5,4
2,2,2,5,5,2,5,5,5,4
2,5,5,5,5,5,0,0,0,5
5,2,5,5,0,0,0,0,0,2
5,5,4,4,4,5,4,4,4,2
4,4,5,5,5,4,5,5,5,5
4,5,5,5,5,4,5,5,0,5
5,5,5,4,5,0,0,0,0,2
5,5,4,5,4,4,5,0,0,2
5,5,5,4,4,5,4,4,4,2
5,4,4,5,5,2,5,5,4,2
5,5,2,5,4,4,5,0,0,2
3,4,0,0,2,2,2,0,0,3
2,3,0,2,5,5,5,2,0,4
2,3,0,2,5,5,2,2,0,4
5,5,4,5,4,0,0,0,0,2
5,4,0,5,4,4,5,5,0,2
5,0,4,5,4,4,4,5,4,2
5,4,0,5,4,4,4,5,0,2
3,4,0,0,3,0,0,0,0,4
3,4,0,0,0,0,0,0,0,4
4,3,0,0,5,5,5,0,0,3
0,0,1,1,1,0,5,2,5,2
1,1,1,1,1,1,2,0,3,0
1,2,0,1,1,1,1,1,0,0
0,0,1,1,1,0,5,0,0,3
1,3,0,1,1,1,1,1,0,0
1,1,1,1,1,1,3,0,0,0
2,2,2,5,2,0,3,0,0,5
0,3,1,1,1,2,5,2,0,5
2,0,1,1,1,0,2,5,2,2
0,1,1,1,1,0,5,0,0,3
1,3,1,1,1,1,1,1,0,0
1,3,1,1,1,1,1,0,0,0
1,1,1,1,1,1,1,1,3,0
0,1,1,0,0,0,5,0,0,3
0,0,2,2,5,2,0,3,0,5
1,3,0,1,1,0,0,0,0,0
1,1,1,1,0,3,0,0,0,0
1,0,1,1,1,1,0,3,0,0
1,1,0,2,0,1,0,0,0,0
1,1,3,0,2,1,0,0,0,0
1,1,1,3,0,1,0,0,0,0
1,1,3,1,1,1,0,0,0,0
0,1,0,0,5,0,0,0,0,3
1,1,1,0,0,3,0,0,0,0
2,2,0,2,5,0,2,2,0,1
1,0,2,2,2,2,2,0,0,0
2,2,2,0,4,0,0,0,0,2
0,2,2,0,4,0,0,0,0,4

#defaults
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
4,a,b,c,d,e,f,g,h,0
5,a,b,c,d,e,f,g,h,0