For the past few days, I've been investigating and apgsearching a promising LTL rule which I've dubbed "Pottery".
Code:
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x = 64, y = 64, rule = R2,C2,S4,6-9,B7-9
!
#C [[ RANDOMIZE ]]
It's a range-2 rule with behavior that, on the surface, is not too far off from the Game of Life. Chaotic patterns and evolutionary sequences are long-lived and somewhat far-moving, although I admit for what it's worth the sequences do last a bit
too long.
I've found several spaceships in this rule. There's the common c/3d and c/6o,
assuming the speed of light is one cell per tick, which it isn't, but it's easier to understand alongside other spaceships that have popped up in Catagolue, like a c/2 and 6c/24.
Code:
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x = 58, y = 5, rule = R2,C2,S4,6-9,B7-9
2b2o5b3o16b3o8b2o5b2o7bo$b4o4b3o15b4o8b3o3b3o6b3o$2o2bo3bo3bo14bo3bo6b
4o3b4o5bob2o$2o2bo3bo3bo18bo6b3o5b3o4bo2b2o$b3o5b3o16b3o10bo3bo7b2obo
!
There are some interesting oscillators. There's a bouncy p34 and p50:
Code:
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x = 39, y = 13, rule = R2,C2,S4,6-9,B7-9
3b2o$2b4o30bo$b2ob2o30bobo$2o2bo31b2o$5o31b2o$4o$b2o28b4o$10b2o21b2o2b
o$3bo4b5o19bo$4bo2b2o2b2o$6b3ob2o$6b5o$7b3o!
And some lower-period but potentially useful oscillators:
Code:
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x = 56, y = 15, rule = R2,C2,S4,6-9,B7-9
15bo2bo$14bo4bo$13bo6bo9b2o15b3o$13b2o4b2o9b2o14bo3bo$14b2o2b2o9b3o15b
obo$6bo41bo$2bo2bobo22b2o$b7o23bo22bo$7o25bo20bobo$obo2bo27b2ob3o13bo
2bo$bo12b2o2b2o14bob3o14bobo$13b2o4b2o15bo17bo$13bo6bo$14bo4bo$15bo2b
o!
There's even an RRO.
Code:
Select all
x = 6, y = 6, rule = R2,C2,S4,6-9,B7-9
b2obo$ob2o$bob3o$b4o$ob2obo$bo!
There are also a variety of still lifes, and here is where the rule's name comes in. You'll occasionally come across large, hollow still lifes that stem from small predecessors. They reminded me of pottery because they're geometric, diverse,
and fragile. In retrospect, they look more like crystals to me, but that name would be a bit too basic.
Code:
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x = 36, y = 6, rule = R2,C2,S4,6-9,B7-9
b3o13b3o14bo$2ob2o11b2ob2o12b3o$o3bo11bo3bo12b3o$2ob2o11bo3bo12b3o$b3o
12b5o12b3o$17b3o!
While the existence of these makes the rule stand out, they seem useless unfortunately. But don't worry! There are tons of other, non-pottery still lifes, from the very fragmented, containing several islands, to literally just the phases of Life's glider.
I have found a few interesting reactions, mainly collisions and eating reactions.
Two-spaceship collisions resulting in the other spaceship being made.
Code:
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x = 51, y = 21, rule = R2,C2,S4,6-9,B7-9
47b3o$46bo3bo$46b2ob2o$47b3o5$20b3o$19b2o2bo$19bo3bo$19b2ob2o$b3o16b3o
$o2b2o$o2b2o$4o$b2o38b3o$41b3o$40bo3bo$40bo3bo$41b3o!
The 6c/24's sparky backend can get rid of the c/2.
Code:
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x = 11, y = 93, rule = R2,C2,S4,6-9,B7-9
b2o5b2o$b3o3b3o$4o3b4o$3o5b3o$3bo3bo12$b3o$4o$o3bo$4bo$b3o32$b3o$4o$o
3bo$4bo$b3o32$b3o$4o$o3bo$4bo$b3o!
Here's the ruletree if y'all want to apgsearch the rule. Name the .tree file "PotteryLTL" to make sure your hauls go to
the right census.
Code: Select all
@RULE PotteryLTL
@COLORS
0 0 0 0
1 255 255 255
# This ruletable is automatically generated by CAViewer
# Note that is ruletable may not work properly in Golly as it is meant to be run by lifelib.
# If this ruletable operates in with a range 1 neighbourhood, switch neighbourhood:... with neighbourhood:Moore or any other appropriate neighbourhood to run it in Golly
@TREE
num_states=2
num_neighbors=[(-2, -2), (-2, -1), (-2, 0), (-2, 1), (-2, 2), (-1, -2), (-1, -1), (-1, 0), (-1, 1), (-1, 2), (0, -2), (0, -1), (0, 1), (0, 2), (1, -2), (1, -1), (1, 0), (1, 1), (1, 2), (2, -2), (2, -1), (2, 0), (2, 1), (2, 2), (0, 0), (0, 0)]
num_nodes=204
1 0 0
2 0 0
3 1 1
4 2 2
1 0 1
2 0 4
3 1 5
4 2 6
5 3 7
2 4 0
3 5 9
4 6 10
5 7 11
6 8 12
3 9 5
4 10 14
5 11 15
6 12 16
7 13 17
1 1 1
2 4 19
3 5 20
4 14 21
5 15 22
6 16 23
7 17 24
8 18 25
2 19 19
3 20 27
4 21 28
5 22 29
6 23 30
7 24 31
8 25 32
9 26 33
3 27 27
4 28 35
5 29 36
6 30 37
7 31 38
8 32 39
9 33 40
10 34 41
2 19 0
3 27 43
4 35 44
5 36 45
6 37 46
7 38 47
8 39 48
9 40 49
10 41 50
11 42 51
3 43 1
4 44 53
5 45 54
6 46 55
7 47 56
8 48 57
9 49 58
10 50 59
11 51 60
12 52 61
4 53 2
5 54 63
6 55 64
7 56 65
8 57 66
9 58 67
10 59 68
11 60 69
12 61 70
13 62 71
5 63 3
6 64 73
7 65 74
8 66 75
9 67 76
10 68 77
11 69 78
12 70 79
13 71 80
14 72 81
5 3 3
6 73 83
7 74 84
8 75 85
9 76 86
10 77 87
11 78 88
12 79 89
13 80 90
14 81 91
15 82 92
6 83 83
7 84 94
8 85 95
9 86 96
10 87 97
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12 89 99
13 90 100
14 91 101
15 92 102
16 93 103
7 94 94
8 95 105
9 96 106
10 97 107
11 98 108
12 99 109
13 100 110
14 101 111
15 102 112
16 103 113
17 104 114
8 105 105
9 106 116
10 107 117
11 108 118
12 109 119
13 110 120
14 111 121
15 112 122
16 113 123
17 114 124
18 115 125
9 116 116
10 117 127
11 118 128
12 119 129
13 120 130
14 121 131
15 122 132
16 123 133
17 124 134
18 125 135
19 126 136
10 127 127
11 128 138
12 129 139
13 130 140
14 131 141
15 132 142
16 133 143
17 134 144
18 135 145
19 136 146
20 137 147
11 138 138
12 139 149
13 140 150
14 141 151
15 142 152
16 143 153
17 144 154
18 145 155
19 146 156
20 147 157
21 148 158
12 149 149
13 150 160
14 151 161
15 152 162
16 153 163
17 154 164
18 155 165
19 156 166
20 157 167
21 158 168
22 159 169
13 160 160
14 161 171
15 162 172
16 163 173
17 164 174
18 165 175
19 166 176
20 167 177
21 168 178
22 169 179
23 170 180
14 171 171
15 172 182
16 173 183
17 174 184
18 175 185
19 176 186
20 177 187
21 178 188
22 179 189
23 180 190
24 181 191
15 182 182
16 183 193
17 184 194
18 185 195
19 186 196
20 187 197
21 188 198
22 189 199
23 190 200
24 191 201
25 192 202