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Triangular Life on the Edge
Posted: February 15th, 2025, 8:38 am
by islptng
In January 2025, @pifricted and I studied some rule that each cell is an edge of a triangular grid.
A cell has 10 neighbors in this type of CA. In rulestring, We use X instead of 10.
The 2 notable rules, are found by me.
The first one is
Rule:TriEdge-B36S24, which is explosive and has c/4o and c/3o.
The second one is
Rule:TriEdge-B3789XS45689X, which resembles Day and Night.
You can download the shared file at:
Rule:TriEdge-shared
islptng wrote: January 26th, 2025, 10:39 am
C++ generator script can be found here, with a Windows-precompiled. Recommended.
pifricted wrote: January 25th, 2025, 10:38 am
Python generator script can be found here, with some examples.
Re: Triangular Life on the Edge
Posted: February 15th, 2025, 8:56 am
by confocaloid
A p24 spaceship, I'm not sure what would be the minimum population when counted in alive edges:
Code:
Select all
x = 35, y = 36, rule = TriEdge-B3789XS45689X:T144,144
2D$GED$AC$.ABDA$2.DCFA$3.FEC2.D$4.2B3D$6.AB$6.C.BD$5.2ABFE$8.AC5$15.F
G$14.FECA$14.BG6$24.2GE$22.D.F2C$22.FGEGFG.D$22.FGBGA.A.D$23.CFA4B$
24.BEB2.G$26.BDFE$25.A2B2A$26.A5.D$33.D$31.AB$32.A$34.B!
The black/white reversal of the spaceship:
Code:
Select all
#C [[ ICONS ]]
x = 144, y = 144, rule = TriEdge-B3789XS45689X:T144,144
144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G
$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$
144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G
$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$55G
2C87G$55G.BC86G$55GFD87G$56GFECF84G$57GCDAF83G$58GABD2GC80G$59G2E3C
80G$61GFE81G$61GDGEC79G$60G2FEAB79G$63GFD79G$144G$144G$144G$144G$70GA
.72G$69GABDF71G$69GE.73G$144G$144G$144G$144G$144G$79G2.B62G$77GCGA2D
62G$77GA.B.A.GC59G$77GA.E.FGFGC58G$78GDAF4E59G$79GEBE2G.59G$81GECAB
59G$80GF2E2F59G$81GF5GC56G$88GC55G$86GFE56G$87GF56G$89GE54G$144G$144G
$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$
144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G
$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$
144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G$144G!
@RULE TriEdge-B3789XS45689X
@TREE
num_states=8
num_neighbors=8
num_nodes=279
1 0 0 0 0 0 0 0 0
1 0 0 0 4 0 0 1 0
1 0 4 5 0 1 0 0 5
2 0 1 1 2 0 1 1 2
1 0 0 0 4 0 2 0 0
1 0 4 4 0 0 2 1 4
1 4 0 1 0 1 6 4 5
2 4 5 5 6 4 5 5 6
1 0 6 4 0 2 0 0 6
1 4 2 0 0 2 4 5 6
1 0 2 1 0 7 4 4 7
2 8 9 9 10 8 9 9 10
3 3 7 3 7 7 11 7 11
1 5 0 0 1 0 5 4 5
2 1 2 2 13 1 2 2 13
1 1 0 0 1 4 7 4 5
2 5 6 6 15 5 6 6 15
1 1 2 0 5 6 5 4 3
2 9 10 10 17 9 10 10 17
3 14 16 14 16 16 18 16 18
1 0 1 0 1 4 5 4 5
2 2 13 13 20 2 13 13 20
1 0 1 0 5 4 7 4 1
2 6 15 15 22 6 15 15 22
1 0 7 4 5 6 1 0 7
2 10 17 17 24 10 17 17 24
3 21 23 21 23 23 25 23 25
4 12 12 19 19 19 19 26 26
1 0 0 0 0 0 2 1 0
1 0 0 1 4 1 2 0 1
1 1 4 4 1 0 3 0 5
2 28 29 29 30 28 29 29 30
1 0 2 0 4 2 0 1 2
1 0 6 5 0 3 0 0 7
1 5 2 0 1 2 5 4 7
2 32 33 33 34 32 33 33 34
1 2 4 4 2 0 0 3 6
1 6 0 1 2 1 4 6 7
1 3 0 0 3 4 5 6 7
2 36 37 37 38 36 37 37 38
3 31 35 31 35 35 39 35 39
1 4 1 0 1 0 7 4 5
2 29 30 30 41 29 30 30 41
1 0 3 0 1 6 5 4 7
2 33 34 34 43 33 34 34 43
1 2 1 0 7 4 5 6 3
2 37 38 38 45 37 38 38 45
3 42 44 42 44 44 46 44 46
1 0 1 0 1 4 7 5 4
2 30 41 41 48 30 41 41 48
1 0 3 0 5 6 5 5 2
2 34 43 43 50 34 43 43 50
1 2 5 4 7 4 1 3 6
2 38 45 45 52 38 45 45 52
3 49 51 49 51 51 53 51 53
4 40 40 47 47 47 47 54 54
1 0 2 1 0 3 0 0 3
1 1 2 0 5 2 1 0 3
1 0 7 4 1 2 1 0 7
2 56 57 57 58 56 57 57 58
1 2 0 1 6 1 0 2 3
1 3 4 4 3 0 1 2 7
1 6 1 0 3 0 5 6 7
2 60 61 61 62 60 61 61 62
1 0 4 7 2 1 0 2 7
1 5 0 2 3 0 5 6 7
1 0 1 2 3 4 5 6 7
2 64 65 65 66 64 65 65 66
3 59 63 59 63 63 67 63 67
1 4 3 0 1 2 5 5 6
2 57 58 58 69 57 58 58 69
1 2 1 0 3 4 5 7 6
2 61 62 62 71 61 62 62 71
1 0 1 2 7 4 5 7 2
2 65 66 66 73 65 66 66 73
3 70 72 70 72 72 74 72 74
1 0 3 1 0 7 4 5 7
2 58 69 69 76 58 69 69 76
1 2 1 1 6 5 4 7 3
2 62 71 71 78 62 71 71 78
1 0 5 7 6 5 0 3 7
2 66 73 73 80 66 73 73 80
3 77 79 77 79 79 81 79 81
4 68 68 75 75 75 75 82 82
5 27 55 27 55 55 83 55 83
1 6 0 0 2 0 4 6 6
1 2 0 0 2 4 4 7 6
1 2 0 1 6 5 4 6 3
2 85 86 86 87 85 86 86 87
3 7 11 7 11 11 88 11 88
1 3 4 4 7 4 1 2 7
2 86 87 87 90 86 87 87 90
3 16 18 16 18 18 91 18 91
1 6 5 4 7 0 5 6 7
2 87 90 90 93 87 90 90 93
3 23 25 23 25 25 94 25 94
4 89 89 92 92 92 92 95 95
1 4 0 2 2 0 4 7 6
1 0 0 3 2 5 4 6 7
1 1 0 2 7 4 5 6 3
2 97 98 98 99 97 98 98 99
3 35 39 35 39 39 100 39 100
1 0 5 6 7 4 1 2 7
2 98 99 99 102 98 99 99 102
3 44 46 44 46 46 103 46 103
1 4 5 6 7 0 5 7 6
2 99 102 102 105 99 102 102 105
3 51 53 51 53 53 106 53 106
4 101 101 104 104 104 104 107 107
1 4 0 3 2 1 6 6 5
1 1 0 2 3 4 7 6 5
1 0 1 2 7 4 7 6 1
2 109 110 110 111 109 110 110 111
3 63 67 63 67 67 112 67 112
1 0 5 6 7 4 3 3 4
2 110 111 111 114 110 111 111 114
3 72 74 72 74 74 115 74 115
1 4 5 7 6 1 6 7 5
2 111 114 114 117 111 114 114 117
3 79 81 79 81 81 118 81 118
4 113 113 116 116 116 116 119 119
5 96 108 96 108 108 120 108 120
1 0 0 2 2 4 4 6 6
1 0 0 2 6 4 4 7 2
1 0 4 7 6 5 0 2 7
2 122 123 123 124 122 123 123 124
3 11 88 11 88 88 125 88 125
1 5 4 6 7 0 5 6 7
2 123 124 124 127 123 124 124 127
3 18 91 18 91 91 128 91 128
1 4 5 6 7 4 5 6 7
2 124 127 127 130 124 127 127 130
3 25 94 25 94 94 131 94 131
4 126 126 129 129 129 129 132 132
1 0 0 2 2 4 6 7 4
1 0 0 3 6 5 6 6 1
1 1 4 6 7 4 3 2 5
2 134 135 135 136 134 135 135 136
3 39 100 39 100 100 137 100 137
1 4 5 6 7 0 7 6 5
2 135 136 136 139 135 136 136 139
3 46 103 46 103 103 140 103 140
1 4 5 6 7 4 7 7 4
2 136 139 139 142 136 139 139 142
3 53 106 53 106 106 143 106 143
4 138 138 141 141 141 141 144 144
1 0 2 3 0 7 6 4 7
1 1 2 2 5 6 7 4 3
1 0 7 6 5 6 3 0 7
2 146 147 147 148 146 147 147 148
3 67 112 67 112 112 149 112 149
1 4 7 6 5 2 7 5 6
2 147 148 148 151 147 148 148 151
3 74 115 74 115 115 152 115 152
1 4 7 7 4 7 6 5 7
2 148 151 151 154 148 151 151 154
3 81 118 81 118 118 155 118 155
4 150 150 153 153 153 153 156 156
5 133 145 133 145 145 157 145 157
6 84 121 121 158 84 121 121 158
7 159 159 159 159 159 159 159 159
8 160 160 160 160 160 160 160 160
1 3 0 0 3 0 1 2 3
1 2 1 0 7 0 1 2 3
1 2 5 4 3 0 1 3 6
2 162 163 163 164 162 163 163 164
1 1 0 2 7 0 1 2 3
1 0 5 6 3 0 1 2 7
1 4 1 2 3 0 5 7 6
2 166 167 167 168 166 167 167 168
1 1 4 6 3 0 3 2 5
1 4 1 2 3 0 7 6 5
1 0 1 2 3 4 7 7 4
2 170 171 171 172 170 171 171 172
3 165 169 165 169 169 173 169 173
1 6 1 1 2 1 4 7 7
2 163 164 164 175 163 164 164 175
1 0 1 3 2 5 4 7 7
2 167 168 168 177 167 168 168 177
1 0 1 3 6 5 6 7 1
2 171 172 172 179 171 172 172 179
3 176 178 176 178 178 180 178 180
1 3 0 1 3 5 5 7 7
2 164 175 175 182 164 175 175 182
1 1 0 3 7 5 5 7 3
2 168 177 177 184 168 177 177 184
1 1 4 7 7 5 3 3 5
2 172 179 179 186 172 179 179 186
3 183 185 183 185 185 187 185 187
4 174 174 181 181 181 181 188 188
5 55 83 55 83 83 189 83 189
1 5 2 2 1 2 7 4 7
1 0 3 2 1 6 7 4 7
1 0 3 2 5 6 7 5 2
2 191 192 192 193 191 192 192 193
3 169 173 169 173 173 194 173 194
1 0 7 7 4 7 2 1 7
2 192 193 193 196 192 193 193 196
3 178 180 178 180 180 197 180 197
1 5 6 7 5 3 7 5 7
2 193 196 196 199 193 196 196 199
3 185 187 185 187 187 200 187 200
4 195 195 198 198 198 198 201 201
5 108 120 108 120 120 202 120 202
1 3 2 0 3 6 7 6 7
1 2 3 0 7 6 7 6 3
1 2 7 4 7 6 3 3 6
2 204 205 205 206 204 205 205 206
3 173 194 173 194 194 207 194 207
1 6 7 5 6 3 6 7 7
2 205 206 206 209 205 206 206 209
3 180 197 180 197 197 210 197 210
1 7 6 5 7 7 7 7 7
2 206 209 209 212 206 209 209 212
3 187 200 187 200 200 213 200 213
4 208 208 211 211 211 211 214 214
5 145 157 145 157 157 215 157 215
6 190 203 203 216 190 203 203 216
7 217 217 217 217 217 217 217 217
8 218 218 218 218 218 218 218 218
1 0 1 2 3 0 1 2 3
1 0 1 2 7 0 1 3 2
1 0 5 7 2 1 0 3 7
2 220 221 221 222 220 221 221 222
1 0 1 2 7 0 3 2 1
1 0 5 6 3 0 3 3 4
1 4 1 3 2 1 6 7 5
2 224 225 225 226 224 225 225 226
1 0 7 6 1 2 3 0 7
1 4 3 2 1 2 7 5 6
1 0 3 3 0 7 6 5 7
2 228 229 229 230 228 229 229 230
3 223 227 223 227 227 231 227 231
1 5 0 3 3 1 5 7 7
2 221 222 222 233 221 222 222 233
1 1 0 3 3 5 7 7 5
2 225 226 226 235 225 226 226 235
1 1 2 3 5 7 7 5 3
2 229 230 230 237 229 230 230 237
3 234 236 234 236 236 238 236 238
1 1 1 3 3 5 5 7 7
2 222 233 233 240 222 233 233 240
1 1 1 3 7 5 7 7 1
2 226 235 235 242 226 235 235 242
1 1 7 7 5 7 3 1 7
2 230 237 237 244 230 237 237 244
3 241 243 241 243 243 245 243 245
4 232 232 239 239 239 239 246 246
5 83 189 83 189 189 247 189 247
1 6 3 0 3 2 7 6 7
1 2 3 0 3 6 7 7 6
1 2 3 1 6 7 6 7 3
2 249 250 250 251 249 250 250 251
3 227 231 227 231 231 252 231 252
1 3 6 5 7 7 3 3 7
2 250 251 251 254 250 251 251 254
3 236 238 236 238 238 255 238 255
1 7 7 5 7 3 7 7 7
2 251 254 254 257 251 254 254 257
3 243 245 243 245 245 258 245 258
4 253 253 256 256 256 256 259 259
5 120 202 120 202 202 260 202 260
1 2 3 2 3 6 7 6 7
1 2 3 2 7 6 7 7 2
1 2 7 7 6 7 2 3 7
2 262 263 263 264 262 263 263 264
3 231 252 231 252 252 265 252 265
1 7 6 7 7 3 7 7 7
2 263 264 264 267 263 264 264 267
3 238 255 238 255 255 268 255 268
1 7 7 7 7 7 7 7 7
2 264 267 267 270 264 267 267 270
3 245 258 245 258 258 271 258 271
4 266 266 269 269 269 269 272 272
5 157 215 157 215 215 273 215 273
6 248 261 261 274 248 261 261 274
7 275 275 275 275 275 275 275 275
8 276 276 276 276 276 276 276 276
9 161 161 219 219 219 219 277 277
@ICONS
XPM
"7 49 2 1"
". c #000000"
"1 c #FFFEFF"
"1......"
"1......"
"1......"
"1......"
"1......"
"......."
"......."
"..1...."
"...1..."
"....1.."
".....1."
"......1"
"......."
"......."
"1.1...."
"1..1..."
"1...1.."
"1....1."
"1.....1"
"......."
"......."
"......."
"......."
"......."
"......."
"......."
"......."
"..11111"
"1......"
"1......"
"1......"
"1......"
"1......"
"......."
"..11111"
"..1...."
"...1..."
"....1.."
".....1."
"......1"
"......."
"..11111"
"1.1...."
"1..1..."
"1...1.."
"1....1."
"1.....1"
"......."
"..11111"
XPM
"15 105 2 1"
". c #000000"
"1 c #FFFEFF"
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"..............."
"..............."
"..............."
"...11.........."
"...111........."
"....111........"
".....111......."
"......111......"
".......111....."
"........111...."
".........111..."
"..........111.."
"...........111."
"............111"
".............11"
"..............."
"..............."
"..............."
"11.11.........."
"11.111........."
"11..111........"
"11...111......."
"11....111......"
"11.....111....."
"11......111...."
"11.......111..."
"11........111.."
"11.........111."
"11..........111"
"11...........11"
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"...111111111111"
"...111111111111"
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"11............."
"..............."
"...111111111111"
"...111111111111"
"...11.........."
"...111........."
"....111........"
".....111......."
"......111......"
".......111....."
"........111...."
".........111..."
"..........111.."
"...........111."
"............111"
".............11"
"..............."
"...111111111111"
"...111111111111"
"11.11.........."
"11.111........."
"11..111........"
"11...111......."
"11....111......"
"11.....111....."
"11......111...."
"11.......111..."
"11........111.."
"11.........111."
"11..........111"
"11...........11"
"..............."
"...111111111111"
"...111111111111"
@COLORS
0 0 0 0
1 0 64 255
2 0 255 0
3 0 255 255
4 255 0 0
5 255 0 255
6 255 255 0
7 255 255 255
Re: Triangular Life on the Edge
Posted: March 2nd, 2025, 10:56 am
by islptng
Bump
The precompiled C++ program is updated and now it should run correctly without that dll.
I hope you can find some more interesting rules, or tame B36/S24.
EDIT 2:
Python generated list of INT conditions, unfortunately the script is lost:
Code: Select all
0000000000
0000000001 0000000010 0000000100
0000000011 0000000101 0000000110 0000001001 0000001010 0000010001 0000100001 0000100010 0000100100 0000101000 0000110000 0001000010 0001000100 0001001000 0010000100
0000000111 0000001011 0000001101 0000001110 0000010011 0000010101 0000100011 0000100101 0000100110 0000101001 0000101010 0000101100 0000110001 0000110010 0000110100 0000111000 0001000011 0001000101 0001000110 0001001001 0001001010 0001001100 0001010001 0001010010 0001010100 0001011000 0001100100 0010000101 0010000110 0010001001 0010001010 0010010001
0000001111 0000010111 0000011011 0000100111 0000101011 0000101101 0000101110 0000110011 0000110101 0000110110 0000111001 0000111010 0000111100 0001000111 0001001011 0001001101 0001001110 0001010011 0001010101 0001010110 0001011001 0001011010 0001011100 0001100011 0001100101 0001100110 0001101001 0001101010 0001101100 0001110001 0001110010 0001110100 0001111000 0010000111 0010001011 0010001101 0010001110 0010010011 0010010101 0010100101 0010100110 0010101001 0010101010 0010101100 0010110001 0010110010 0010110100 0011000110 0011001001 0011001010 0011001100 0011010001 0011010010 0100101001 0100101010 0100110001 0100110010 0101001010 0101010001 1000110001
0000011111 0000101111 0000110111 0000111011 0000111101 0000111110 0001001111 0001010111 0001011011 0001011101 0001011110 0001100111 0001101011 0001101101 0001101110 0001110011 0001110101 0001110110 0001111001 0001111010 0001111100 0010001111 0010010111 0010011011 0010100111 0010101011 0010101101 0010101110 0010110011 0010110101 0010110110 0010111001 0010111010 0010111100 0011000111 0011001011 0011001101 0011001110 0011010011 0011010101 0011010110 0011011001 0011011010 0011011100 0011101001 0011101010 0011110001 0011110010 0100101011 0100101101 0100101110 0100110011 0100110101 0100110110 0100111001 0100111010 0101001011 0101001101 0101001110 0101010011 0101010101 0101110001 0110110001 0111010001 1000110011 1000110101
0000111111 0001011111 0001101111 0001110111 0001111011 0001111101 0001111110 0010011111 0010101111 0010110111 0010111011 0010111101 0010111110 0011001111 0011010111 0011011011 0011011101 0011011110 0011100111 0011101011 0011101101 0011101110 0011110011 0011110101 0011110110 0011111001 0011111010 0011111100 0100101111 0100110111 0100111011 0100111101 0100111110 0101001111 0101010111 0101011011 0101101011 0101101101 0101101110 0101110011 0101110101 0101110110 0101111001 0101111010 0110101101 0110101110 0110110011 0110110101 0110110110 0110111001 0111001110 0111010011 0111010101 0111110001 1000110111 1000111011 1001110011 1001110101 1001111001 1010110101
0001111111 0010111111 0011011111 0011101111 0011110111 0011111011 0011111101 0011111110 0100111111 0101011111 0101101111 0101110111 0101111011 0101111101 0101111110 0110101111 0110110111 0110111011 0110111101 0110111110 0111001111 0111010111 0111011011 0111110011 0111110101 0111111001 1000111111 1001110111 1001111011 1001111101 1010110111 1010111011
0011111111 0101111111 0110111111 0111011111 0111101111 0111110111 0111111011 0111111101 0111111110 1001111111 1010111111 1011110111 1011111011 1011111101 1101111011
0111111111 1011111111 1101111111
1111111111
This:
Code: Select all
x = 163, y = 1059, rule = TriEdge-shared
D31.D15.D31.D15.D15.D15.D15.D$2A15.A14.DA14.DA14.EA14.E15.E16.A14.EA
14.EA14.BA$EA15.A14.E15.DA15.A14.DA14.EA15.A14.EA14.DA15.C15$.D15.F
15.FA14.FE14.FE14.FE14.FE14.FE13.DFE13.2FE13.FGE$66.B15.C14.BC14.2C
14.2C14.2C14.2C15$17.DA14.FD14.FA14.FE14.FE14.FE13.DFE13.BFE13.DGE$
50.B15.A14.2B14.AC14.BC14.2C14.2C15$17.2D14.DE14.FD14.FA14.FE14.FE13.
DFE13.2FE13.BGE$50.B15.C14.BA14.CB14.AC14.BC14.2C15$33.F15.DE14.FE14.
FA14.FE13.DFE13.2FE$34.B15.B14.B15.BC14.CA14.CB14.AC15$33.DA14.FA14.F
A14.FD14.FA13.DFE13.2FE$34.B15.A14.2B14.BC14.2C14.CA14.CB15$33.F15.FD
14.FD14.DE14.FD13.DFA13.2FE$34.A15.A14.2B14.BC14.2C14.2C14.CA15$33.F
15.FA14.DE14.FE14.DE13.DFD13.2FA$33.B15.B15.2B14.AB14.2C14.2C14.2C15$
33.DA14.FD14.FA14.FE13.DFE13.2DE13.2FD$33.B15.B15.BA14.2A15.C14.2C14.
2C15$33.2D14.DE14.FD14.FA13.DFE13.BFE13.FDE$33.B15.B15.BA14.AC14.2B
14.BC14.2C15$33.D15.F15.DE14.FD13.DFE13.BFE14.GE$33.2B14.2B14.BA14.AC
14.BA14.AC14.2C15$33.D15.DA14.F15.DE13.DFA13.BFE13.DGE$33.BA14.2B14.B
C14.AC14.BC14.CB14.BC15$33.DA14.2D14.DA14.FE13.DFD13.BFE13.DGE$33.A
15.2B14.BC14.C15.BC14.CA14.CA15$33.2D14.F15.2D14.FA13.2DE13.BFA13.DGA
$33.A15.BA14.BC14.CB14.BC14.2C14.2C15$33.D15.DA14.FE14.FD13.DFE13.BFD
13.DGD$33.AB14.BA14.A15.CB14.AB14.2C14.2C15$32.3D14.2D14.FA14.DE13.DF
E13.BDE13.BGA$49.BA14.AB14.CB14.2A14.2C14.2C15$49.D15.FD14.FA13.DFA
13.2FE$49.BC14.AB14.CA14.AC14.2B15$49.FA14.DE14.FD13.DFD13.2FE$49.A
15.AB14.CA14.AC14.BA15$49.FD14.FA14.DE13.2DE13.2FA$49.A15.2A14.CA14.A
C14.BC15$49.DE14.FD14.F14.DFE13.2FD$49.A15.2A14.2C14.C15.BC15$49.F15.
DE14.DA13.DFA13.FDE$49.AB14.2A14.2C14.CB14.BC15$49.DA14.F15.2D13.DFD
13.2FE$49.AB14.AC14.2C14.CB14.AB15$49.2D14.DA13.DFE13.2DE13.2FE$49.AB
14.AC15.B14.CB14.2A15$49.F15.2D13.DFE13.DFA13.2FA$49.2A14.AC15.A14.CA
14.AC15$49.DA14.FA13.DFA13.DFD13.2FA$49.2A14.C16.C14.CA14.CA15$49.2D
14.FD13.DFE13.2DE13.2FD$49.2A14.C15.B15.CA14.CA15$49.D15.DE13.DFA13.D
F14.2F$49.AC14.C15.2B14.2C14.2C15$49.2D14.F14.DFD13.2DA14.GE$49.C15.C
B14.2B14.2C14.BC15$48.DFD14.DA13.2DE13.3D14.GE$65.CB14.2B14.2C14.CA
15$48.2DE14.2D13.DFA13.BFE14.GA$65.CB14.BA14.2B14.2C15$48.DF15.F14.DF
D13.BFE14.GD$50.B14.CA14.BA14.BA14.2C15$48.2DA14.DA13.2DE13.BFA13.DGE
$50.B14.CA14.BA14.BC14.BA15$48.DF15.2D13.DF14.BFD13.DGA$50.A14.CA14.B
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Re: Triangular Life on the Edge
Posted: March 2nd, 2025, 11:46 am
by confocaloid
islptng wrote: March 2nd, 2025, 10:56 am
[...] If we count INT rules, there'll be about 30 rows (If I remember correctly). It's a lot more complex than R1 Moore.
Maybe it should be developed later.
A cell has 10 neighbours, each of which can be in one of two states, so there are 2^10 = 1024 neighbourhood configurations in total (ignoring the cell's own current state).
If I counted correctly, then (up to rotations and reflections fixing a cell, and again ignoring the cell's own current state) there are 288 equivalence classes of neighbourhood configurations.
Accounting for the cell's own current state, the number of (fully-specified) distinct isotropic conditions is 2 x 288 = 576. For each of those conditions, the ruleset of the CA must prescribe one of two possible future states, which means there are 2^576 ~ 2.4733e+173 different rulesets.
Code:
Select all
x = 13, y = 9, rule = B/S0123456HHistory
A3.A3.A$.C2.2C2.C$2.C.C.C.C$3.2C2.2C$A3CA3EA3CA$4.2C2.2C$4.C.C.C.C$4.
C2.2C2.C$4.A3.A3.A!
#C [[ GRID ]]