Thread for basic non-CGOL questions

[pzq_alex]

That question could be amenable to search with (at most 65536 invocations to) EPE.

[galoomba]

Does this stabilize? 6M+ and it's still going:

Code: Select all

x = 60, y = 60, rule = B3-ky4iw5cy/S2-n3-eky4t
30b2o$29b4o$28b2o2bo$29b2o2bo$30b4o22$3bo$o2bo$b3o3$56b3o$56bo2bo$56bo
23$26b3o$28bo$28bo$27bo!

Yes, after 130,588,686 generations (if i didn't miss anything). This is generation 130,588,686 at zoom 2^18:

[toroidalet]

Not quite—the glider on the left makes it last until generation 130,756,694.
Your picture didn't show up for some reason, so here's one:

[galoomba]

Not quite—the glider on the left makes it last until generation 130,756,694.

Where is the glider on the left? I can't find it.

[pipsqueek]

is there a file of the rule 110 cyclic tag system available in RLE or binary format? I found this, but I'm kind of confused about the format

[squareroot12621]

Is there a rule such that two spaceships, A and B, can be moved and/or phase-shifted to create 0, 1, and 2 of the spaceship C? (Bonus points if it's within 5 transitions of CGoL.)
A near-example:

Code: Select all

x = 27, y = 27, rule = 12ColorMarkedLife
.pB13.O2.O6.D$pB.pB3.E2.E4.O9.D.D$pB.pB7.E3.O3.O5.3D$pB.pB3.E3.E3.4O6.
D.D$.pB5.4E13.D.D2$4.17pB3.2N$24.N.N$.pB2.D2.D3.2B4.N2.N3.2N$2pB6.D4.
B2.N7.N.N$.pB2.D3.D3.B3.N3.N3.2N$.pB3.4D7.4N$3pB9.B12.2R$10.R13.R$9.R
14.R$9.3R12.R$25.2R$4.17pB2$2pB4.E2.E5.O2.O$2.pB7.E3.O$.pB4.E3.E3.O3.
O$pB6.4E3.4O$3pB$6.R11.R$5.R13.R$5.3R9.3R!

Continuation: What is the largest number n (in any INT rule) such that there exist collisions between two copies of spaceship A that make 0, 1, 2, …, and n clean copies of spaceship B? (A and B can be the same spaceship.)

Edit: Yep, I meant instances.

[PHPBB12345]

What is multistate 1-cell diehard?

[pipsqueek]

What is multistate 1-cell diehard?

If you are wondering what the longest lasting 1-cell diehard is in any multistate rule, we will probably never know. you could make a rule in which a single cell does not die for some ridiculous number of generations. like TREE(3) or Grahams number, by some method of initiating a computer programmed to destroy itself after it is done waiting some insane interval of time. we won't know for sure what the best way to do this is.

but it would make a great challenge to see how long we can make it take.

[confocaloid]

Continuation: What is the largest number n (in any INT rule) such that there exist collisions between two copies of spaceship A that make 0, 1, 2, …, and n clean copies of spaceship B? (A and B can be the same spaceship.)

To clarify: collisions between two copies of spaceship A (i.e. any orientation but the same phase), or between two instances of spaceship A (i.e. any orientation and any phase)?

In 104life, two SLWSSes can collide to make 0, 1, 2, 3 instances of T: (I did not check all collisions, so there might be ways to make other numbers)

Code: Select all

#C SLWSS + SLWSS -> empty space
#C [[ ZOOM 6 ]]
x = 26, y = 23, rule = B34ky5cy/S23-a4ity6c7
2b2o$2ob2o$4o$2bo14$23b3o$22bo2bo$25bo$24bo$21bo2bo$21bo!

Code: Select all

#C SLWSS + SLWSS -> T
#C [[ ZOOM 6 ]]
x = 27, y = 24, rule = B34ky5cy/S23-a4ity6c7
2b2o$2ob2o$4o$2bo15$23b3o$23bo2bo$21bo$21bob2o$21bo4bo$23b2o!

Code: Select all

#C SLWSS + SLWSS -> 2 T
#C [[ ZOOM 6 ]]
x = 27, y = 25, rule = B34ky5cy/S23-a4ity6c7
2b2o$2ob2o$4o$2bo17$23b3o$23bo2bo$23bo$24bo$25bo!

Code: Select all

#C SLWSS + SLWSS -> 3 T
#C [[ ZOOM 6 ]]
x = 27, y = 24, rule = B34ky5cy/S23-a4ity6c7
2b2o$2ob2o$4o$2bo17$24bo$23b3o$22bo2b2o$24b3o!

[squareroot12621]

What is multistate 1-cell diehard?

At least 508:

Code: Select all

x = 1, y = 1, rule = 1CellDiehardv1
B!
@RULE 1CellDiehardv1
@TABLE
n_states:256
neighborhood:vonNeumann
symmetries:none
var a = {2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255}
0, a,0,0,0, 1
1, a,0,0,0, 0
2, 0,0,1,0, 3
3, 0,0,1,0, 4
4, 0,0,1,0, 5
5, 0,0,1,0, 6
6, 0,0,1,0, 7
7, 0,0,1,0, 8
8, 0,0,1,0, 9
9, 0,0,1,0, 10
10, 0,0,1,0, 11
11, 0,0,1,0, 12
12, 0,0,1,0, 13
13, 0,0,1,0, 14
14, 0,0,1,0, 15
15, 0,0,1,0, 16
16, 0,0,1,0, 17
17, 0,0,1,0, 18
18, 0,0,1,0, 19
19, 0,0,1,0, 20
20, 0,0,1,0, 21
21, 0,0,1,0, 22
22, 0,0,1,0, 23
23, 0,0,1,0, 24
24, 0,0,1,0, 25
25, 0,0,1,0, 26
26, 0,0,1,0, 27
27, 0,0,1,0, 28
28, 0,0,1,0, 29
29, 0,0,1,0, 30
30, 0,0,1,0, 31
31, 0,0,1,0, 32
32, 0,0,1,0, 33
33, 0,0,1,0, 34
34, 0,0,1,0, 35
35, 0,0,1,0, 36
36, 0,0,1,0, 37
37, 0,0,1,0, 38
38, 0,0,1,0, 39
39, 0,0,1,0, 40
40, 0,0,1,0, 41
41, 0,0,1,0, 42
42, 0,0,1,0, 43
43, 0,0,1,0, 44
44, 0,0,1,0, 45
45, 0,0,1,0, 46
46, 0,0,1,0, 47
47, 0,0,1,0, 48
48, 0,0,1,0, 49
49, 0,0,1,0, 50
50, 0,0,1,0, 51
51, 0,0,1,0, 52
52, 0,0,1,0, 53
53, 0,0,1,0, 54
54, 0,0,1,0, 55
55, 0,0,1,0, 56
56, 0,0,1,0, 57
57, 0,0,1,0, 58
58, 0,0,1,0, 59
59, 0,0,1,0, 60
60, 0,0,1,0, 61
61, 0,0,1,0, 62
62, 0,0,1,0, 63
63, 0,0,1,0, 64
64, 0,0,1,0, 65
65, 0,0,1,0, 66
66, 0,0,1,0, 67
67, 0,0,1,0, 68
68, 0,0,1,0, 69
69, 0,0,1,0, 70
70, 0,0,1,0, 71
71, 0,0,1,0, 72
72, 0,0,1,0, 73
73, 0,0,1,0, 74
74, 0,0,1,0, 75
75, 0,0,1,0, 76
76, 0,0,1,0, 77
77, 0,0,1,0, 78
78, 0,0,1,0, 79
79, 0,0,1,0, 80
80, 0,0,1,0, 81
81, 0,0,1,0, 82
82, 0,0,1,0, 83
83, 0,0,1,0, 84
84, 0,0,1,0, 85
85, 0,0,1,0, 86
86, 0,0,1,0, 87
87, 0,0,1,0, 88
88, 0,0,1,0, 89
89, 0,0,1,0, 90
90, 0,0,1,0, 91
91, 0,0,1,0, 92
92, 0,0,1,0, 93
93, 0,0,1,0, 94
94, 0,0,1,0, 95
95, 0,0,1,0, 96
96, 0,0,1,0, 97
97, 0,0,1,0, 98
98, 0,0,1,0, 99
99, 0,0,1,0, 100
100, 0,0,1,0, 101
101, 0,0,1,0, 102
102, 0,0,1,0, 103
103, 0,0,1,0, 104
104, 0,0,1,0, 105
105, 0,0,1,0, 106
106, 0,0,1,0, 107
107, 0,0,1,0, 108
108, 0,0,1,0, 109
109, 0,0,1,0, 110
110, 0,0,1,0, 111
111, 0,0,1,0, 112
112, 0,0,1,0, 113
113, 0,0,1,0, 114
114, 0,0,1,0, 115
115, 0,0,1,0, 116
116, 0,0,1,0, 117
117, 0,0,1,0, 118
118, 0,0,1,0, 119
119, 0,0,1,0, 120
120, 0,0,1,0, 121
121, 0,0,1,0, 122
122, 0,0,1,0, 123
123, 0,0,1,0, 124
124, 0,0,1,0, 125
125, 0,0,1,0, 126
126, 0,0,1,0, 127
127, 0,0,1,0, 128
128, 0,0,1,0, 129
129, 0,0,1,0, 130
130, 0,0,1,0, 131
131, 0,0,1,0, 132
132, 0,0,1,0, 133
133, 0,0,1,0, 134
134, 0,0,1,0, 135
135, 0,0,1,0, 136
136, 0,0,1,0, 137
137, 0,0,1,0, 138
138, 0,0,1,0, 139
139, 0,0,1,0, 140
140, 0,0,1,0, 141
141, 0,0,1,0, 142
142, 0,0,1,0, 143
143, 0,0,1,0, 144
144, 0,0,1,0, 145
145, 0,0,1,0, 146
146, 0,0,1,0, 147
147, 0,0,1,0, 148
148, 0,0,1,0, 149
149, 0,0,1,0, 150
150, 0,0,1,0, 151
151, 0,0,1,0, 152
152, 0,0,1,0, 153
153, 0,0,1,0, 154
154, 0,0,1,0, 155
155, 0,0,1,0, 156
156, 0,0,1,0, 157
157, 0,0,1,0, 158
158, 0,0,1,0, 159
159, 0,0,1,0, 160
160, 0,0,1,0, 161
161, 0,0,1,0, 162
162, 0,0,1,0, 163
163, 0,0,1,0, 164
164, 0,0,1,0, 165
165, 0,0,1,0, 166
166, 0,0,1,0, 167
167, 0,0,1,0, 168
168, 0,0,1,0, 169
169, 0,0,1,0, 170
170, 0,0,1,0, 171
171, 0,0,1,0, 172
172, 0,0,1,0, 173
173, 0,0,1,0, 174
174, 0,0,1,0, 175
175, 0,0,1,0, 176
176, 0,0,1,0, 177
177, 0,0,1,0, 178
178, 0,0,1,0, 179
179, 0,0,1,0, 180
180, 0,0,1,0, 181
181, 0,0,1,0, 182
182, 0,0,1,0, 183
183, 0,0,1,0, 184
184, 0,0,1,0, 185
185, 0,0,1,0, 186
186, 0,0,1,0, 187
187, 0,0,1,0, 188
188, 0,0,1,0, 189
189, 0,0,1,0, 190
190, 0,0,1,0, 191
191, 0,0,1,0, 192
192, 0,0,1,0, 193
193, 0,0,1,0, 194
194, 0,0,1,0, 195
195, 0,0,1,0, 196
196, 0,0,1,0, 197
197, 0,0,1,0, 198
198, 0,0,1,0, 199
199, 0,0,1,0, 200
200, 0,0,1,0, 201
201, 0,0,1,0, 202
202, 0,0,1,0, 203
203, 0,0,1,0, 204
204, 0,0,1,0, 205
205, 0,0,1,0, 206
206, 0,0,1,0, 207
207, 0,0,1,0, 208
208, 0,0,1,0, 209
209, 0,0,1,0, 210
210, 0,0,1,0, 211
211, 0,0,1,0, 212
212, 0,0,1,0, 213
213, 0,0,1,0, 214
214, 0,0,1,0, 215
215, 0,0,1,0, 216
216, 0,0,1,0, 217
217, 0,0,1,0, 218
218, 0,0,1,0, 219
219, 0,0,1,0, 220
220, 0,0,1,0, 221
221, 0,0,1,0, 222
222, 0,0,1,0, 223
223, 0,0,1,0, 224
224, 0,0,1,0, 225
225, 0,0,1,0, 226
226, 0,0,1,0, 227
227, 0,0,1,0, 228
228, 0,0,1,0, 229
229, 0,0,1,0, 230
230, 0,0,1,0, 231
231, 0,0,1,0, 232
232, 0,0,1,0, 233
233, 0,0,1,0, 234
234, 0,0,1,0, 235
235, 0,0,1,0, 236
236, 0,0,1,0, 237
237, 0,0,1,0, 238
238, 0,0,1,0, 239
239, 0,0,1,0, 240
240, 0,0,1,0, 241
241, 0,0,1,0, 242
242, 0,0,1,0, 243
243, 0,0,1,0, 244
244, 0,0,1,0, 245
245, 0,0,1,0, 246
246, 0,0,1,0, 247
247, 0,0,1,0, 248
248, 0,0,1,0, 249
249, 0,0,1,0, 250
250, 0,0,1,0, 251
251, 0,0,1,0, 252
252, 0,0,1,0, 253
253, 0,0,1,0, 254
254, 0,0,1,0, 255
255, 0,0,1,0, 0

Edit: At least 16,384:

Code: Select all

x = 1, y = 1, rule = 1CellDiehardv2
A!
@RULE 1CellDiehardv2
@TABLE
n_states:256
neighborhood:vonNeumann
symmetries:none
var a = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127}
var b = {128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255}
0, a,0,0,0, 128
1, 0,0,255,0, 2
2, 0,0,255,0, 3
3, 0,0,255,0, 4
4, 0,0,255,0, 5
5, 0,0,255,0, 6
6, 0,0,255,0, 7
7, 0,0,255,0, 8
8, 0,0,255,0, 9
9, 0,0,255,0, 10
10, 0,0,255,0, 11
11, 0,0,255,0, 12
12, 0,0,255,0, 13
13, 0,0,255,0, 14
14, 0,0,255,0, 15
15, 0,0,255,0, 16
16, 0,0,255,0, 17
17, 0,0,255,0, 18
18, 0,0,255,0, 19
19, 0,0,255,0, 20
20, 0,0,255,0, 21
21, 0,0,255,0, 22
22, 0,0,255,0, 23
23, 0,0,255,0, 24
24, 0,0,255,0, 25
25, 0,0,255,0, 26
26, 0,0,255,0, 27
27, 0,0,255,0, 28
28, 0,0,255,0, 29
29, 0,0,255,0, 30
30, 0,0,255,0, 31
31, 0,0,255,0, 32
32, 0,0,255,0, 33
33, 0,0,255,0, 34
34, 0,0,255,0, 35
35, 0,0,255,0, 36
36, 0,0,255,0, 37
37, 0,0,255,0, 38
38, 0,0,255,0, 39
39, 0,0,255,0, 40
40, 0,0,255,0, 41
41, 0,0,255,0, 42
42, 0,0,255,0, 43
43, 0,0,255,0, 44
44, 0,0,255,0, 45
45, 0,0,255,0, 46
46, 0,0,255,0, 47
47, 0,0,255,0, 48
48, 0,0,255,0, 49
49, 0,0,255,0, 50
50, 0,0,255,0, 51
51, 0,0,255,0, 52
52, 0,0,255,0, 53
53, 0,0,255,0, 54
54, 0,0,255,0, 55
55, 0,0,255,0, 56
56, 0,0,255,0, 57
57, 0,0,255,0, 58
58, 0,0,255,0, 59
59, 0,0,255,0, 60
60, 0,0,255,0, 61
61, 0,0,255,0, 62
62, 0,0,255,0, 63
63, 0,0,255,0, 64
64, 0,0,255,0, 65
65, 0,0,255,0, 66
66, 0,0,255,0, 67
67, 0,0,255,0, 68
68, 0,0,255,0, 69
69, 0,0,255,0, 70
70, 0,0,255,0, 71
71, 0,0,255,0, 72
72, 0,0,255,0, 73
73, 0,0,255,0, 74
74, 0,0,255,0, 75
75, 0,0,255,0, 76
76, 0,0,255,0, 77
77, 0,0,255,0, 78
78, 0,0,255,0, 79
79, 0,0,255,0, 80
80, 0,0,255,0, 81
81, 0,0,255,0, 82
82, 0,0,255,0, 83
83, 0,0,255,0, 84
84, 0,0,255,0, 85
85, 0,0,255,0, 86
86, 0,0,255,0, 87
87, 0,0,255,0, 88
88, 0,0,255,0, 89
89, 0,0,255,0, 90
90, 0,0,255,0, 91
91, 0,0,255,0, 92
92, 0,0,255,0, 93
93, 0,0,255,0, 94
94, 0,0,255,0, 95
95, 0,0,255,0, 96
96, 0,0,255,0, 97
97, 0,0,255,0, 98
98, 0,0,255,0, 99
99, 0,0,255,0, 100
100, 0,0,255,0, 101
101, 0,0,255,0, 102
102, 0,0,255,0, 103
103, 0,0,255,0, 104
104, 0,0,255,0, 105
105, 0,0,255,0, 106
106, 0,0,255,0, 107
107, 0,0,255,0, 108
108, 0,0,255,0, 109
109, 0,0,255,0, 110
110, 0,0,255,0, 111
111, 0,0,255,0, 112
112, 0,0,255,0, 113
113, 0,0,255,0, 114
114, 0,0,255,0, 115
115, 0,0,255,0, 116
116, 0,0,255,0, 117
117, 0,0,255,0, 118
118, 0,0,255,0, 119
119, 0,0,255,0, 120
120, 0,0,255,0, 121
121, 0,0,255,0, 122
122, 0,0,255,0, 123
123, 0,0,255,0, 124
124, 0,0,255,0, 125
125, 0,0,255,0, 126
126, 0,0,255,0, 127
127, 0,0,255,0, 128
128, 0,0,0,0, 0
128, a,0,0,0, 129
129, a,0,0,0, 130
130, a,0,0,0, 131
131, a,0,0,0, 132
132, a,0,0,0, 133
133, a,0,0,0, 134
134, a,0,0,0, 135
135, a,0,0,0, 136
136, a,0,0,0, 137
137, a,0,0,0, 138
138, a,0,0,0, 139
139, a,0,0,0, 140
140, a,0,0,0, 141
141, a,0,0,0, 142
142, a,0,0,0, 143
143, a,0,0,0, 144
144, a,0,0,0, 145
145, a,0,0,0, 146
146, a,0,0,0, 147
147, a,0,0,0, 148
148, a,0,0,0, 149
149, a,0,0,0, 150
150, a,0,0,0, 151
151, a,0,0,0, 152
152, a,0,0,0, 153
153, a,0,0,0, 154
154, a,0,0,0, 155
155, a,0,0,0, 156
156, a,0,0,0, 157
157, a,0,0,0, 158
158, a,0,0,0, 159
159, a,0,0,0, 160
160, a,0,0,0, 161
161, a,0,0,0, 162
162, a,0,0,0, 163
163, a,0,0,0, 164
164, a,0,0,0, 165
165, a,0,0,0, 166
166, a,0,0,0, 167
167, a,0,0,0, 168
168, a,0,0,0, 169
169, a,0,0,0, 170
170, a,0,0,0, 171
171, a,0,0,0, 172
172, a,0,0,0, 173
173, a,0,0,0, 174
174, a,0,0,0, 175
175, a,0,0,0, 176
176, a,0,0,0, 177
177, a,0,0,0, 178
178, a,0,0,0, 179
179, a,0,0,0, 180
180, a,0,0,0, 181
181, a,0,0,0, 182
182, a,0,0,0, 183
183, a,0,0,0, 184
184, a,0,0,0, 185
185, a,0,0,0, 186
186, a,0,0,0, 187
187, a,0,0,0, 188
188, a,0,0,0, 189
189, a,0,0,0, 190
190, a,0,0,0, 191
191, a,0,0,0, 192
192, a,0,0,0, 193
193, a,0,0,0, 194
194, a,0,0,0, 195
195, a,0,0,0, 196
196, a,0,0,0, 197
197, a,0,0,0, 198
198, a,0,0,0, 199
199, a,0,0,0, 200
200, a,0,0,0, 201
201, a,0,0,0, 202
202, a,0,0,0, 203
203, a,0,0,0, 204
204, a,0,0,0, 205
205, a,0,0,0, 206
206, a,0,0,0, 207
207, a,0,0,0, 208
208, a,0,0,0, 209
209, a,0,0,0, 210
210, a,0,0,0, 211
211, a,0,0,0, 212
212, a,0,0,0, 213
213, a,0,0,0, 214
214, a,0,0,0, 215
215, a,0,0,0, 216
216, a,0,0,0, 217
217, a,0,0,0, 218
218, a,0,0,0, 219
219, a,0,0,0, 220
220, a,0,0,0, 221
221, a,0,0,0, 222
222, a,0,0,0, 223
223, a,0,0,0, 224
224, a,0,0,0, 225
225, a,0,0,0, 226
226, a,0,0,0, 227
227, a,0,0,0, 228
228, a,0,0,0, 229
229, a,0,0,0, 230
230, a,0,0,0, 231
231, a,0,0,0, 232
232, a,0,0,0, 233
233, a,0,0,0, 234
234, a,0,0,0, 235
235, a,0,0,0, 236
236, a,0,0,0, 237
237, a,0,0,0, 238
238, a,0,0,0, 239
239, a,0,0,0, 240
240, a,0,0,0, 241
241, a,0,0,0, 242
242, a,0,0,0, 243
243, a,0,0,0, 244
244, a,0,0,0, 245
245, a,0,0,0, 246
246, a,0,0,0, 247
247, a,0,0,0, 248
248, a,0,0,0, 249
249, a,0,0,0, 250
250, a,0,0,0, 251
251, a,0,0,0, 252
252, a,0,0,0, 253
253, a,0,0,0, 254
254, a,0,0,0, 255
255, a,0,0,0, 0

[toroidalet]

What is multistate 1-cell diehard?

In this rule, a single state 1 cell becomes a state 2 cell after

Code: Select all

26199924135232771946302945082142267646361287611183858888105878141097146284516799831042207935664233039650479000253912904922771642475731623570814064416253781364092711339053059999903025978136729323217679386289259716419683670948646023812141184875681945563968577497179990209595449685176614744961594950626560211884531284197640394761093553905046063780027895153209787942001752179924270127515264970630023873812492980939002822141152564625446373219448429758099463080183236186289644573331878107376094245464350507388846551751046612070714565610178006262325931767558598663756603524710091836568086585567457582719555198482702777497152917647713931772397794446480673474453561715398402565647895798977733825391494685454766789557545473602733743489446098894582747379919590022524327668286045820662926856507795043034908992104472345005832428884147960277965274231868039010559321290713143465608035562427335152773965238234364115181780266120198067562665325786292427327285082253794788586031222880339518555791075364838339105682822212623973098802249679263152169631485280007941546320088715920833952965887911686467922942093278225469934289248985421166049533594930296131436406782844461227172597419523940735285524817830265186717280715381153340934435524413089365663132951826300964878165876115877456321519871137927184515404511244296109196015310844309425916538601758601506755054623439329923395989582441201949702784143957477436389201828161767915088756130899725645032475916297263635572338097104291727119796586891454172270804516130061996391584953195213962055999127981606862469614528570944490481961815733359163745933237148318698949933861294045259868727519925870307847766277701373806698228034652816172832635092274619498470510299902864195522028303384354963284200397613571516894351225452609490085477998496433453738629933293500194584668382708191550532193329097472001535189222239048638243327986932257122929771989683230924125732348809919922259131496658284595708970604039562910688418658511076045962717614689204677807638527786100521285127133676423571868395252424476812075884746012485749210828645724603893058548869805107256798685960960

generations. Replacing the line "2,0,0,0,0,0,0,0,0,1" with "2,0,0,0,0,0,0,0,0,0" should give a single-cell diehard lasting

Code: Select all

26199924135232771946302945082142267646361287611183858888105878141097146284516799831042207935664233039650479000253912904922771642475731623570814064416253781364092711339053059999903025978136729323217679386289259716419683670948646023812141184875681945563968577497179990209595449685176614744961594950626560211884531284197640394761093553905046063780027895153209787942001752179924270127515264970630023873812492980939002822141152564625446373219448429758099463080183236186289644573331878107376094245464350507388846551751046612070714565610178006262325931767558598663756603524710091836568086585567457582719555198482702777497152917647713931772397794446480673474453561715398402565647895798977733825391494685454766789557545473602733743489446098894582747379919590022524327668286045820662926856507795043034908992104472345005832428884147960277965274231868039010559321290713143465608035562427335152773965238234364115181780266120198067562665325786292427327285082253794788586031222880339518555791075364838339105682822212623973098802249679263152169631485280007941546320088715920833952965887911686467922942093278225469934289248985421166049533594930296131436406782844461227172597419523940735285524817830265186717280715381153340934435524413089365663132951826300964878165876115877456321519871137927184515404511244296109196015310844309425916538601758601506755054623439329923395989582441201949702784143957477436389201828161767915088756130899725645032475916297263635572338097104291727119796586891454172270804516130061996391584953195213962055999127981606862469614528570944490481961815733359163745933237148318698949933861294045259868727519925870307847766277701373806698228034652816172832635092274619498470510299902864195522028303384354963284200397613571516894351225452609490085477998496433453738629933293500194584668382708191550532193329097472001535189222239048638243327986932257122929771989683230924125732348809919922259131496658284595708970604039562910688418658511076045962717614689204677807638527786100521285127133676423571868395252424476812075884746012485749210828645724603893058548869805107256798685960961

generations.

The unfinished rule on the next page should last much longer; another option is to make something like the long-lasting Fibonacci counter.

[squareroot12621]

…Replacing the line "2,0,0,0,0,0,0,0,0,1" with "2,0,0,0,0,0,0,0,0,0" should give a single-cell diehard lasting

Code: Select all

26199924135232771946302945082142267646361287611183858888105878141097146284516799831042207935664233039650479000253912904922771642475731623570814064416253781364092711339053059999903025978136729323217679386289259716419683670948646023812141184875681945563968577497179990209595449685176614744961594950626560211884531284197640394761093553905046063780027895153209787942001752179924270127515264970630023873812492980939002822141152564625446373219448429758099463080183236186289644573331878107376094245464350507388846551751046612070714565610178006262325931767558598663756603524710091836568086585567457582719555198482702777497152917647713931772397794446480673474453561715398402565647895798977733825391494685454766789557545473602733743489446098894582747379919590022524327668286045820662926856507795043034908992104472345005832428884147960277965274231868039010559321290713143465608035562427335152773965238234364115181780266120198067562665325786292427327285082253794788586031222880339518555791075364838339105682822212623973098802249679263152169631485280007941546320088715920833952965887911686467922942093278225469934289248985421166049533594930296131436406782844461227172597419523940735285524817830265186717280715381153340934435524413089365663132951826300964878165876115877456321519871137927184515404511244296109196015310844309425916538601758601506755054623439329923395989582441201949702784143957477436389201828161767915088756130899725645032475916297263635572338097104291727119796586891454172270804516130061996391584953195213962055999127981606862469614528570944490481961815733359163745933237148318698949933861294045259868727519925870307847766277701373806698228034652816172832635092274619498470510299902864195522028303384354963284200397613571516894351225452609490085477998496433453738629933293500194584668382708191550532193329097472001535189222239048638243327986932257122929771989683230924125732348809919922259131496658284595708970604039562910688418658511076045962717614689204677807638527786100521285127133676423571868395252424476812075884746012485749210828645724603893058548869805107256798685960961

generations.…

You can replace the

Code: Select all

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

with

Code: Select all

2, 0,0,0,0,0,0,0,0, 3
3, 0,0,0,0,0,0,0,0, 4
4, 0,0,0,0,0,0,0,0, 5
…
254, 0,0,0,0,0,0,0,0, 255
255, 0,0,0,0,0,0,0,0, 0

and change the number of states to 256 to squeeze 253 more generations out of it.

Edit: This lives for 17×2⁴⁴⁵⁹⁴⁸⁷+17,834,960 generations, assuming I didn't mess the math up:

Code: Select all

x = 1, y = 1, rule = 1CellDiehardv3
A!
@RULE 1CellDiehardv3
@TABLE
n_states:15
neighborhood:Moore
symmetries:none
var a = {7,8,9,10}
var a2 = a
var a3 = a
var b = {11,12}
# Top wick
0, 0,0,0,0,0,0,1,0, 2
0, 0,0,0,0,0,1,1,0, 2
0, 0,0,0,2,1,0,0,0, 1
0, 0,0,5,0,0,1,1,0, 2
0, 0,0,0,5,0,1,1,0, 2
2, 0,0,0,0,0,0,1,0, 0
2, 0,0,0,0,0,1,1,0, 0
2, 0,0,5,0,0,1,1,0, 0
2, 0,0,0,5,0,1,1,0, 0
# First counter, premature
0, 2,0,0,0,0,0,0,1, 3
0, 0,0,0,0,0,0,0,3, 4
0, 0,0,0,0,0,0,0,4, 6
0, 0,0,0,0,6,0,0,0, 6
0, 0,0,0,0,6,0,4,0, 6
0, 0,0,0,0,6,4,0,0, 6
0, 0,0,0,6,0,2,0,0, 5
5, 0,0,6,6,0,0,0,0, 0
6, 0,0,0,0,6,0,5,0, 7
6, 7,0,0,0,6,0,0,0, 7
6, 7,0,0,0,6,4,0,0, 7
6, 7,0,0,0,6,0,4,0, 7
6, 7,0,0,0,0,0,0,4, 7
4, 0,7,7,7,0,0,0,3, 0
0, 0,0,0,0,0,0,6,7, 11
# First counter, mature
7, 7,0,11,0,0,0,0,4, 8
7, a,0,11,0,0,0,0,0, 8
8, a,0,11,0,0,0,0,0, 9
9, a,0,11,0,0,0,0,0, 10
10, a,0,12,0,0,0,0,0, 7
11, 0,0,0,0,0,0,9,a, 12
12, 0,0,0,0,0,0,10,a, 11
13, 0,0,0,0,0,a,a2,a3, 0
13, 0,0,0,0,11,a,a2,a3, 0
0, 0,0,0,0,12,a,10,a2, 13
0, 0,0,0,0,12,a,a2,a3, 0
0, 0,0,0,0,13,a,10,10, 13
0, 0,0,0,0,13,a,10,a3, 13
0, 0,0,0,0,13,a,a2,a3, 0
7, a,0,0,b,10,0,0,0, 8
8, a,0,0,b,10,0,0,0, 9
9, a,0,0,b,10,0,0,0, 10
10, a,0,13,b,7,0,0,0, 7
7, a,0,0,13,10,0,0,0, 8
8, a,0,0,13,10,0,0,0, 9
9, a,0,0,13,10,0,0,0, 10
10, a,0,13,0,7,0,0,0, 7
7, 0,0,0,13,10,0,0,0, 8
8, 0,0,0,13,10,0,0,0, 9
9, 0,0,0,13,10,0,0,0, 10
10, 0,0,0,13,10,0,0,0, 14
# First counter, destruction
14, 0,0,0,0,a,0,0,0, 0
14, 0,0,0,13,10,0,0,0, 0
7, 14,0,0,0,a,0,0,0, 14
10, 14,0,13,11,7,0,0,0, 0
13, 0,0,0,0,11,7,10,14, 0
7, 0,0,11,0,0,0,0,0, 0
11, 0,0,0,0,0,0,7,0, 0
0, 0,0,14,10,0,0,3,0, 14
14, 0,0,0,0,0,0,3,0, 0
3, 0,0,14,0,0,0,0,1, 11
0, 1,0,11,0,0,0,0,0, 6
# Second counter
1, 1,0,0,0,6,0,0,0, 6
1, 1,0,0,11,6,0,0,0, 6
1, 1,2,0,0,6,0,0,0, 6
1, 0,0,2,0,6,0,0,0, 0
1, 0,0,0,2,0,0,0,0, 7
2, 0,0,0,0,0,6,0,1, 0
0, 1,0,2,0,6,0,0,0, 6
6, 7,0,0,11,6,0,0,0, 7
6, 7,0,11,0,0,0,0,0, 8
7, 14,0,0,11,9,0,0,0, 0
10, 0,0,12,0,0,0,0,0, 0
12, 0,0,0,0,0,0,10,0, 0
@COLORS
0 0 0 0
1 255 0 0
2 255 128 0
3 255 255 0
4 153 255 0
5 128 128 128
6 0 255 0
7 0 255 255
8 0 204 255
9 0 102 255
10 0 0 255
11 128 0 255
12 192 0 255
13 255 0 255
14 192 192 192
@NAMES
0 off
1 wick 1
2 wick 2
3 bridge 1
4 bridge 2
5 terminator
6 counter premature
7 counter 0
8 counter 1
9 counter 2
10 counter 3
11 carry off
12 carry on
13 carry moving
14 destroy

[pipsqueek]

what is the highest period puffer known? I found this ridiculously large one

Code: Select all

x = 28, y = 40, rule = B3ai4kq5/S2-i3-k4an5i6c
3obo4b2ob3obobob2obobo$obo6b7o2b2obo2b2obo$4bo3bobob5ob3o2bobobo$8obo
2b2ob4o5bobo$2ob3o2bo3bo2b2o4bo2b2obo$3o2bo3b7o5b4obo$b2o2b2o3bo3b4o3b
5obo$b2ob6o2bo2bobo3bob2obo$b2ob2ob4ob3o2b5obob2o$obob2ob2o3b2o3b2o3bo
4bo$2o2b2o5bobo4b5obobo$obo2bo2bobob4obobob4obo$o3bo3bo4bo4b2o3bob2o$o
2bo2b3obobo2b2obobob4obo$2ob4obobo2bo2b2ob6ob2o$2o2b4o2b2obob3o3bo3b2o
$2b2o4bobobob2o4b2ob2obo$bobo2bo3b2o2bo3bo3b3ob2o$6bo2b2ob2o7b3ob2o$bo
2bobobob3obo4bob2ob2obo$b2o2b3o2bo4b2o2bobo3b2o$2o4b2o4bob4obo3b2o$ob
4o4b3obo5bo3bo2bo$ob4o2bobob2o2b8obo$2b2o2bo3bo4bo2bobo2bo$3o5b2obob2o
4b2ob3o2bo$4b2ob2o3b4ob2o5b2obo$4o3b2ob7o2bobo4bo$b3ob2obo3bob3o2b6obo
$3b2obobobo2bob2o2b2obob4o$bob2o3bobo2bob2o4b4o$2ob2ob2obo2bob2o2bo2bo
b2ob2o$4o2b5o6bo2b3ob4o$o4bob3o3bo2bobo2b2obob2o$o9bo2bob2o2bob2ob2obo
$b2ob5o2b3o2b2obo2bob3o$4obo2b5ob2ob2obo2b5o$7o2b2obo3bobo2bo2bo2bo$2o
b5o4b4o2bo2bo2bob2o$2ob3ob2o4bobob2obobo3bo!

[pzq_alex]

what is the highest period puffer known? I found this ridiculously large one

Modifying the one-cell-high-period ships (mentioned above) should give exponential or tetrational periods depending on how many states you want to spare.

[yaochen2]

What is the highest period oscillator and spaceship to have occurred naturally in any rule using apgsearch?

[confocaloid]

What is the highest period oscillator and spaceship to have occurred naturally in any rule using apgsearch?

These are almost certainly not highest periods, but here are some spaceships:

• xq774_4553zy7696zzyfe17/b35k6cs23
• xq574_6b976zzzya7e/b35j7es23
• xq395_mpuzzy566/b36as235y
• b38s23/C1/xq380

p119344 oscillator:

Code: Select all

#C https://catagolue.hatsya.com/object/xp119344_12g528kz01252lakay2i9gzy0841218l01a52zy71/b2cn3acij4cryz5-ijky6cn7c8s1c2aci3eijk4cinrtwz5iy6cn7
#C https://catagolue.hatsya.com/hashsoup/C1/k_Ngdyvc2EVic99216/b2cn3acij4cryz5-ijky6cn7c8s1c2aci3eijk4cinrtwz5iy6cn7
#C Soup k_Ngdyvc2EVic99216 was found on 2023-03-30 at 07:28:11 UTC and is owned by LaundryPizza03
x = 16, y = 16, rule = B2cn3acij4cryz5-ijky6cn7c8/S1c2aci3eijk4cinrtwz5iy6cn7
obbbbobobobbobbo$
obbooboobbbbbboo$
obooboobobobbbbo$
bbobbboobboooboo$
oobbobbbbbooobob$
oobbboobbbobobbo$
bobobbbobbobboob$
ooboobbbbbooobob$
booboooooooboobb$
bboooobboboobbob$
bbobboobbboboboo$
bbbbooooobbobboo$
ooboobobbboooobo$
obbooooboooboobb$
bboobbbobbobbooo$
bobbbooooobooooo!

[confocaloid]

Are there any welterweight spaceships?

Code: Select all

x = 47, y = 9, rule = B/S012345678
13bo20bo$22bo$14bo5bo3bo10bo$b4o20bo17b4o$o3bo4bobobobo4bo4bo4bobobobo
5bo3bo$4bo16b5o20bo$o2bo10bo20bo6bo2bo2$13bo20bo!

[LaundryPizza03]

What is the highest period oscillator and spaceship to have occurred naturally in any rule using apgsearch?

These are almost certainly not highest periods, but here are some spaceships:

• xq774_4553zy7696zzyfe17/b35k6cs23
• xq574_6b976zzzya7e/b35j7es23
• xq395_mpuzzy566/b36as235y
• b38s23/C1/xq380

p119344 oscillator:

Code: Select all

#C https://catagolue.hatsya.com/object/xp119344_12g528kz01252lakay2i9gzy0841218l01a52zy71/b2cn3acij4cryz5-ijky6cn7c8s1c2aci3eijk4cinrtwz5iy6cn7
#C https://catagolue.hatsya.com/hashsoup/C1/k_Ngdyvc2EVic99216/b2cn3acij4cryz5-ijky6cn7c8s1c2aci3eijk4cinrtwz5iy6cn7
#C Soup k_Ngdyvc2EVic99216 was found on 2023-03-30 at 07:28:11 UTC and is owned by LaundryPizza03
x = 16, y = 16, rule = B2cn3acij4cryz5-ijky6cn7c8/S1c2aci3eijk4cinrtwz5iy6cn7
obbbbobobobbobbo$
obbooboobbbbbboo$
obooboobobobbbbo$
bbobbboobboooboo$
oobbobbbbbooobob$
oobbboobbbobobbo$
bobobbbobbobboob$
ooboobbbbbooobob$
booboooooooboobb$
bboooobboboobbob$
bbobboobbboboboo$
bbbbooooobbobboo$
ooboobobbboooobo$
obbooooboooboobb$
bboobbbobbobbooo$
bobbbooooobooooo!

The highest-known period elementary nonadjustable ship, xq146808_1uvsus9z97nfn79/b2-an3-eiry4et5eijn6-ins1c2n3ey4ejtwz5eijnq6-n78, is in a rule that has been apgsearched.

[Naszvadi]

As of 2023, what is the current status of existing, constructed glider guns in CAs having only two states

• in outer-totalistic hexagonal neighbourhood?
• in outer-totalistic (blinking) von Neumann neighbourhood?

[ZackBuildit777]

As of 2023, what is the current status of existing, constructed glider guns in CAs having only two states

• in outer-totalistic hexagonal neighbourhood?
• in outer-totalistic (blinking) von Neumann neighbourhood?

For the first question, to my understanding not a single one has ever been successfully designed or constructed. For the second, I'm unsure, sorry, but almost certainly one does exist somewhere

[Naszvadi]

As of 2023, what is the current status of existing, constructed glider guns in CAs having only two states

• in outer-totalistic hexagonal neighbourhood?
• in outer-totalistic (blinking) von Neumann neighbourhood?

For the first question, to my understanding not a single one has ever been successfully designed or constructed. For the second, I'm unsure, sorry, but almost certainly one does exist somewhere

@First question: can someone show me a gun in a hexagonal outer-totalistic B0-less rule?

[lk050807]

Anyway remeber a B-0 rule with similar dynamics?

Code: Select all

x = 199, y = 181, rule = B01234678/S45
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$88o2b
17o88b2o$85obo2bob16o85bob2obo$88ob2ob15o88bo2bo$30o54b6o2b99o6b2o$30o
54b3o5b99o3b5o$30o55b3ob103o3bo$30o60bob105obo$30o56bob3ob101obo3bo$
30o55b2o4b101o2b4o$30o55b2o5b100o2b5o$30o54bo4bo2b99ob4ob2o$30o56b2obo
b102o2bobo$30o54bo3b2o2b99ob3o2b2o$30o54b4obob100o4bobo$30o56bob2ob
102obo2bo$30o55b3o3b101o3b3o$30o56bo2b104ob2o$30o55b2o2b2ob100o2b2o2bo
$30o57b107o$30o54b2ob3o2b99o2bo3b2o$30o54bobob103obobo$30o54b3o3bob99o
3b3obo$30o57b2o2b103o2b2o$30o54b3ob3ob99o3bo3bo$30o54bob3o2b100obo3b2o
$30o54b2o6b99o2b6o$30o54b3obobob99o3bobobo$30o54b2ob2o3b99o2bo2b3o$30o
54b4ob2ob99o4bo2bo$30o55bo2bo2b101ob2ob2o$30o55b2ob2o2b100o2bo2b2o$30o
54b2o6b99o2b6o$30o54b2ob4ob99o2bo4bo$30o55b2ob2ob101o2bo2bo$30o56bo2b
2ob101ob2o2bo$30o58bo3b103ob3o$30o54bobobo3b99obobob3o$30o54b3o5b99o3b
5o$30o54b4ob2ob99o4bo2bo$30o54bo5b101ob5o$30o55b2o3bob100o2b3obo$30o
54b2ob3o2b99o2bo3b2o$30o57b2obob102o2bobo$30o55bo2b3ob100ob2o3bo$30o
57bo4b102ob4o$30o54b2obo2b101o2bob2o$30o56bo2b2ob101ob2o2bo$30o54b4ob
102o4bo$30o54b5o3b99o5b3o$30o56bob105obo$30o55bo2bo3b100ob2ob3o$30o56b
o2bo2b101ob2ob2o$30o54b4ob102o4bo$30o54b2ob104o2bo$30o54bob2obob100obo
2bobo$30o54bo2b2obob99ob2o2bobo$30o56b107o$30o54bobob2o2b99obobo2b2o$
30o55bob105obo$30o59b107o$30o55bobo2bob100obob2obo$30o55b3ob103o3bo$
30o56b3o3b101o3b3o$30o56bo2b104ob2o$30o54b3obo2b100o3bob2o$30o55bob2o
3b100obo2b3o$30o54b3obob101o3bobo$30o54bobo3b101obob3o$30o59b2ob104o2b
o$30o56b2obo2b101o2bob2o$30o56bo3b103ob3o$30o55b4ob102o4bo$30o54b2o4bo
b99o2b4obo$30o54b2ob4ob99o2bo4bo$30o56bo4b102ob4o$30o56b107o$30o54bobo
b2ob100obobo2bo$30o54bo4b2ob99ob4o2bo$30o58bo3b103ob3o$30o54b107o$30o
56b3obob101o3bobo$30o54b2ob2obob99o2bo2bobo$30o54b2o2b2ob100o2b2o2bo$
30o54bob2o2bob99obo2b2obo$30o55b2obobob100o2bobobo$30o59bob105obo$85ob
ob2o2b15o85bobo2b2o$84ob2o5b15o84bo2b5o$86o3bo2b15o86b3ob2o$84o3b2o2b
16o84b3o2b2o$84o2b4ob16o84b2o4bo$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o!

One candidate is B3/S145678

Code: Select all

x = 199, y = 181, rule = B3/S145678
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$88o2b
17o88b2o$85obo2bob16o85bob2obo$88ob2ob15o88bo2bo$30o54b6o2b99o6b2o$30o
54b3o5b99o3b5o$30o55b3ob103o3bo$30o60bob105obo$30o56bob3ob101obo3bo$
30o55b2o4b101o2b4o$30o55b2o5b100o2b5o$30o54bo4bo2b99ob4ob2o$30o56b2obo
b102o2bobo$30o54bo3b2o2b99ob3o2b2o$30o54b4obob100o4bobo$30o56bob2ob
102obo2bo$30o55b3o3b101o3b3o$30o56bo2b104ob2o$30o55b2o2b2ob100o2b2o2bo
$30o57b107o$30o54b2ob3o2b99o2bo3b2o$30o54bobob103obobo$30o54b3o3bob99o
3b3obo$30o57b2o2b103o2b2o$30o54b3ob3ob99o3bo3bo$30o54bob3o2b100obo3b2o
$30o54b2o6b99o2b6o$30o54b3obobob99o3bobobo$30o54b2ob2o3b99o2bo2b3o$30o
54b4ob2ob99o4bo2bo$30o55bo2bo2b101ob2ob2o$30o55b2ob2o2b100o2bo2b2o$30o
54b2o6b99o2b6o$30o54b2ob4ob99o2bo4bo$30o55b2ob2ob101o2bo2bo$30o56bo2b
2ob101ob2o2bo$30o58bo3b103ob3o$30o54bobobo3b99obobob3o$30o54b3o5b99o3b
5o$30o54b4ob2ob99o4bo2bo$30o54bo5b101ob5o$30o55b2o3bob100o2b3obo$30o
54b2ob3o2b99o2bo3b2o$30o57b2obob102o2bobo$30o55bo2b3ob100ob2o3bo$30o
57bo4b102ob4o$30o54b2obo2b101o2bob2o$30o56bo2b2ob101ob2o2bo$30o54b4ob
102o4bo$30o54b5o3b99o5b3o$30o56bob105obo$30o55bo2bo3b100ob2ob3o$30o56b
o2bo2b101ob2ob2o$30o54b4ob102o4bo$30o54b2ob104o2bo$30o54bob2obob100obo
2bobo$30o54bo2b2obob99ob2o2bobo$30o56b107o$30o54bobob2o2b99obobo2b2o$
30o55bob105obo$30o59b107o$30o55bobo2bob100obob2obo$30o55b3ob103o3bo$
30o56b3o3b101o3b3o$30o56bo2b104ob2o$30o54b3obo2b100o3bob2o$30o55bob2o
3b100obo2b3o$30o54b3obob101o3bobo$30o54bobo3b101obob3o$30o59b2ob104o2b
o$30o56b2obo2b101o2bob2o$30o56bo3b103ob3o$30o55b4ob102o4bo$30o54b2o4bo
b99o2b4obo$30o54b2ob4ob99o2bo4bo$30o56bo4b102ob4o$30o56b107o$30o54bobo
b2ob100obobo2bo$30o54bo4b2ob99ob4o2bo$30o58bo3b103ob3o$30o54b107o$30o
56b3obob101o3bobo$30o54b2ob2obob99o2bo2bobo$30o54b2o2b2ob100o2b2o2bo$
30o54bob2o2bob99obo2b2obo$30o55b2obobob100o2bobobo$30o59bob105obo$85ob
ob2o2b15o85bobo2b2o$84ob2o5b15o84bo2b5o$86o3bo2b15o86b3ob2o$84o3b2o2b
16o84b3o2b2o$84o2b4ob16o84b2o4bo$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o!

Expanding ones

Code: Select all

x = 272, y = 256, rule = B34/S01245678
140b4o$138bob6o$137bob7o$136bob9o$131b2ob2ob4ob8o$131b21o$129b10ob14o$
128bob2ob21o$129b26o$123bobob31o$121b39o$119b43o$119b43o$117b46o$115b
46ob3o$113b25ob21ob4o$113b20ob32o$112b21o2b32o$111bob21ob25ob4obo$109b
50ob9o$108b9ob2ob4ob12ob15ob16o$108b4ob10ob11ob8ob7ob20o$103bo2b13ob
12ob14ob8ob17o$103b2ob5ob5ob34ob21o$102b11ob41ob14ob3o$99b7ob51ob18o$
99b4ob57ob15o$98b66ob5ob7o$95bob70ob11o$93b4ob5ob66o2b2obob2obo$93b80o
b5obob3o$92b84ob5obo2bo$89b90ob6o$89b93ob3o$88b96ob7o$84b102ob7o$84b
105ob6o$82b114o$80b117o$78b121o$76b125o$76b127o$74b129o$72b133o$72b
135o$70b139o$68b141o$66b144o$64b149o$62b153o$60b157o$60b159o$58b160o$
56b162obo$54b167o$54b170o$53b164ob7o$50b176o$50b177o$49b164ob3ob9o$46b
183o$44b185o$44b169o3b14o$42b189o$40b171o2b20o$38b196o$38b196o$37b175o
b23o$34b202o$34b203o$33b180obob6ob12obo$30b208o$29b5ob180ob25o$29b5ob
15ob3ob159obob12ob12o$28b31ob182o$28b6o2b13ob5ob5ob75ob9ob6ob60ob27o$
27b5ob16ob85ob17ob61obob26o$27b7ob16o2b6ob75ob11ob25ob45ob25o$25b10ob
4ob12ob8ob84obo2bo2b91o$25b12ob12ob2obob11ob67ob17ob3ob15ob42ob29o$24b
18ob8ob16ob66ob14ob7ob14ob72o$24b14o2b13ob93ob4ob2ob6ob3obobob18ob5ob
51o$24b32ob4ob75ob3ob3ob4obob2ob7ob2ob3ob4ob11ob5ob23obob27o$23b16ob2o
b20ob4ob96ob2ob4ob24ob50o$21b115ob4ob3ob2ob2ob15obob17ob7ob23ob8ob20o$
21b19ob28ob66ob11ob2obob15ob27ob20obob29o$20b23ob25o2b65ob4o2b10ob34ob
2o3bob54o$20b40ob79o2b47ob5ob23ob3ob27o$20b45ob11o2b111obob26obob29o$
20b41o2b8ob68obob38ob9ob9ob21obob26o$17b42ob3ob74ob50ob62o$16b4ob45o2b
9ob8ob53ob33ob45ob4o2b26o$16b56ob2ob59ob2ob51o2b61o$14b31ob18ob2ob12ob
9ob15ob10ob2ob42ob90o$14b7ob22ob24ob6ob4obob13ob10ob25ob25ob60obob3ob
26o$13b32ob4ob37ob4o2b3ob18ob6ob5ob3ob27ob8ob7ob20ob24o2bobobob22o$13b
9ob22obob2obob24ob8ob5ob5ob12ob7ob2ob2ob5obob26ob18ob10obob30ob31o$12b
57o2bob5o2b3ob4ob5ob4ob15ob6ob7obob30ob58ob33o$12b54ob2ob10ob28ob14ob
3ob2ob23o2bo2b13ob51ob30o$11b11ob50ob5ob2ob11obob17o2b2ob2ob6obob40ob
65ob19o$11b64o2b2o2b17ob18obob3ob3obob25ob36ob30obob9ob21o$9b61ob2ob3o
b3ob10ob2ob9ob7ob3ob5ob3ob30ob99o$9b38ob3ob19ob2ob44ob7ob3ob126o$8b72o
bob12obob4ob2ob7ob6ob11ob3ob59ob61o$8b40obob50ob19o2bob6ob3obob33ob3ob
15ob4ob27ob35o$7b89ob6ob18ob4ob3ob10ob5ob24ob19o3b36ob26o$7b35obo2b6ob
54ob9ob3ob3ob4ob2obob6ob5o2b2ob39ob7ob28ob29obo$6b40o3b2obob49obob10ob
5ob4ob2o2b6o2bob7ob4ob39ob30o2b35o$6b44obob28ob14ob7obob14ob13o2bob8o
3b5o2b2ob19ob16obob61ob2o$6b57ob37obob9ob3o2bo2bob6ob9ob4ob4ob6ob14ob
91o$5b39ob2o2b13ob31o2b9ob8o2b10obobo3b2ob2ob3ob5ob4obob41ob2ob27ob34o
$3b39ob3ob31obob15obob5o2b18obob7ob2ob2ob4ob10obobob31ob33ob37o$3b41ob
2ob4ob11o2b50ob2ob3o2b3ob7ob5o6bob3o2b9ob28ob5ob64o$2b45o2b13obob46ob
8ob2ob2ob4ob5ob2ob9o2b2obob2ob33ob35ob35o$2b43ob7ob7obob2o3b29ob3obob
7obo2bob8ob10o3bob3ob12ob6ob8ob52ob37o$b40o2b70ob5obob6ob8obob3obo2bob
ob6ob6obob99o$b42obob2ob3ob13ob2ob27ob21o2b2ob5o2bo2b12ob7o2b3ob3ob66o
b35o$32ob13ob67ob2obobobob4ob5o2b4ob6ob2ob6ob4ob12ob18obob63ob6o$31obo
b7ob8ob12ob54ob7o2b2obob8o2bobobobob2obob5ob67ob36o$b29ob3ob24ob7ob33o
2bob11obobobob5ob5ob3ob3ob6ob2ob7ob15ob16ob4ob62ob3ob2o$2b27ob2ob6ob7o
bob10ob2o2bob17ob7ob6ob5ob9o2b3ob2o2b5ob3obob4ob8ob3obobo2b36o2bobob
61obob2o$2b26ob2ob3o2b26ob2ob25o2b6ob5ob11ob9ob7ob3ob5o2bob9ob23ob85o$
2b32ob2ob11obob6ob6ob14ob13o4b9ob4o2bobob3ob2obob5ob9ob2ob5o2bo2bob70o
b33ob6o$3b48obo2b19o2b12ob3ob7ob18o2bo3b2o2b4ob19ob2ob3o2b22ob44ob40o$
3b15o3b10ob21ob2ob14ob4ob2ob20ob7o3b6o2b7ob2obob2obobobob2ob3ob3ob8ob
68ob40o$3b29ob6ob31o3b4ob41ob4ob5ob4ob3ob5ob2obob119o$4b29ob2ob3ob37ob
o2b26ob2o2b2obob2obo2b4ob5ob3ob3o2b8obob3obob25o2b75ob7o$4b30ob4obob
16ob10ob2ob31obob4ob2ob2ob3obob9ob5o2b6ob4ob10o2b20ob6ob3ob48ob16ob9o$
6b32obobob12o2b12ob3o3b2o2bo2b17ob6ob3ob3ob2o3b3ob3ob4obo2bob6ob6ob2ob
6ob44ob64o$6b30ob6ob26obob10ob15obob4ob15ob5ob3ob2ob5ob7ob7ob3ob22ob4o
b41obob27ob8o$7b50ob11ob6ob7ob21o2b4ob2o2b5o3b2ob9ob5ob2o2bobobobo2bob
41obob30ob35o$7b37ob8o2b3ob7o2b3ob3ob2ob22o4b4obob7ob3ob6ob2o2bob4ob4o
b4ob4ob45obob64o$8b15ob46ob14ob19ob2ob3obob2ob3ob3obob8ob2ob4obo2b19ob
15o2b11ob34obob27ob7o$8b48ob2ob8obobob4ob22obob15ob2obob7obob5ob2o2b3o
b4o2bobob3ob4ob19ob16ob24ob39o$10b27ob35ob4ob20ob4ob11ob8o2b9ob2ob2ob
2ob2obob4o2bobob4ob29ob38ob25o2b6o$9bob34ob19o2b38o4bobobo4b2ob2ob6ob
3ob3ob2ob4ob17ob9ob8o2b49ob3ob27o$10bob11ob45ob4ob4ob40obob10ob10ob3o
2bo3b2ob6ob39obob28obob2ob22ob3o$10b2ob11ob12ob18ob5ob2obob23ob32ob3ob
2ob2o2b2ob2obob2ob11ob3ob19o2bob9ob7ob28ob31o$12bob9ob2o2bobobob3o2b
13ob12ob20ob19ob11obobob3o2b2ob7ob4obob4o2b2o2b5ob25ob12obob34o2b23o$
11b3ob5ob5ob8obob28ob17ob31ob3ob9ob2ob4ob9ob3ob2ob18ob19obob34ob4obob
21o2bo$14bob6ob21o3b4ob23ob5ob24obob4ob8obob3obob5o2bobobob5ob4ob3o3b
20o2b3ob8ob35ob7ob22o$12b2o2b22ob3ob30ob13ob26o2bob2ob4ob8ob18ob2ob41o
b31obob28o$14bo3b39ob12o2b10o2b21o3b11ob9ob13ob3ob4ob3ob3ob14ob8ob3o3b
49ob20o$13b36o2b2obob14ob3ob34ob8ob9ob11ob2ob9ob27o2b6ob39ob3ob28o$14b
4o4b19ob11ob21ob44ob6ob12ob4o2b9ob82obob19o$15b4ob6ob4ob35ob37o2b14ob
6ob12ob2ob35o2bob21ob54o$15b11ob4o2b16ob3obo2b19ob52ob4ob4ob3ob8obob
32ob16ob23ob4ob27o$16b15ob18obo2b12ob2ob33o2b35obob15ob79ob21o$17b28ob
o3b7ob28obob12ob4ob5ob16obo2b10ob10ob2ob21ob22ob37ob18o$16b10obobobob
32ob2ob2ob14ob13ob3ob10ob27ob83ob14ob15o$15b16ob3ob4ob11ob4o2b27ob15ob
15ob8ob2ob12obob6obo2b5ob2ob21ob46ob3ob20o$16b4obobo2b15ob25ob2obob16o
b19ob20ob10ob9ob5ob2o2b16o2bob2ob54ob16o$16b6ob19ob31ob12ob26o2bo2b6ob
o2bob9ob4ob4ob2obo2b30ob38ob14obob12o$17b4ob18o2bob32ob28ob18obob2ob9o
b8obo2b10ob2ob23ob2ob43o2b5ob11o$17b5obob19ob14ob12ob17ob24ob13ob8ob9o
b3ob34ob18ob31ob16o$19b6ob13ob34ob2ob48ob3ob6ob13ob10o2b15o2bob6ob4ob
9ob20ob12o2b14o$19bob24ob12ob60ob3ob2ob2ob6ob13ob27ob3obob69o$20b50ob
20ob28ob7ob8ob11ob16ob19ob45ob2ob17o$19b11ob7ob33ob11ob36ob3ob2o2b5ob
12ob28ob5o2bob12ob4ob19ob28o$19b14obob34ob10ob52ob12ob39ob12ob29ob5ob
14o$20b14ob24ob73ob12ob30ob7ob2ob62o$20b11ob2ob24ob23ob49o2b10ob36o2b
5ob33o2b3ob21o$21b9ob5o2b20obob74ob8ob42ob62o$21b51ob6ob56ob6ob60ob21o
b21o$22b24ob21ob2ob11ob51ob6ob80o2b23o$22b47o2b64obob3ob44ob60o$23b7ob
27ob20ob114ob27o2bob21o$23b16ob5ob14ob6ob128ob31ob17o$24b16ob5ob10ob2o
b141ob27ob15o$24b11ob5ob4ob14ob52ob2ob103ob23o$25b14o2b2o3bob59ob3ob
121ob9o$27b4ob70ob2ob96ob25ob5ob7o$29b8ob6ob14ob2ob37ob119ob21o$30b12o
b4ob11ob38ob141o$31b8obo2b2ob16ob33ob122ob14ob5o$31b17ob42ob147o$32b
27o2b5ob7ob3ob6ob3ob128ob16ob3o$32b9ob17ob160ob17o$34b3obob9ob186o$34b
o2b180ob18o$36b4obob21ob169o$38b12ob17ob165o$38b24ob5ob2ob144o2b15o$
37b19ob16ob4ob128ob25o$38b33ob4obob2ob122ob12ob13o$38b6ob4ob34ob116ob
6ob2ob8ob2ob2ob2obo$39b36ob2ob8ob110ob31o$39b44ob5ob4ob100ob23ob8o$40b
9ob37ob8ob101obob19o2b2ob2o$40b45ob13ob90ob4o2b20obob8o$41b56ob4ob84ob
30ob8o$42b64ob77ob31ob11o$41b3ob56o2b3obob4ob62ob5ob14ob30o$43b65ob2ob
o2b2ob54ob11ob4ob37o$43b62ob5ob4ob4ob41ob6obob4ob6ob31obob8o$43b62ob3o
b6ob6ob37ob15ob7ob40o$45b44ob3ob8ob4ob16ob35ob11ob6ob46o$45b37ob3ob24o
b6ob6ob4ob9ob15ob3ob12ob24ob25o$47b28ob3ob15ob6obob7ob21ob17ob2o2bob
18ob46o$49b47ob3ob32ob24o2b14ob26ob21o$50b80ob2ob13ob63ob10o$51b26ob4o
b2ob10obob12ob7ob3ob20ob58ob16o$51b28o2b4ob2ob53ob40ob20o2b9ob3o$53b
29ob8ob5ob3ob39ob14ob46ob2obob6ob2o$55b22obobobob9ob4o2b40ob36ob11ob
28o$57bo3b18ob2ob7ob3ob2ob41ob6ob4ob53obo2b8o$60bo3b14ob2ob6ob25ob2ob
21o2b10ob26ob37o$64b2ob13ob6obob5ob23ob4ob12o2b7ob4ob63o$63b5ob9ob2ob
5ob5ob3ob19ob2ob3ob2ob18ob2ob57o2b5o$65bob4ob4ob16obobob17ob4ob9ob41ob
35obobo$66b15ob5ob7ob9ob4ob13ob7ob15ob20ob2ob23ob2ob9o$66b28ob2ob19ob
2ob8ob3ob6ob4ob20ob3ob20ob2ob5ob6o$67b13o2b14ob19ob3o2b4ob6ob5ob9ob38o
b2ob2o2bob3ob6o$69b55obob5ob5ob27o3bob11ob3ob22o$71b24ob13ob5ob2ob5ob
12ob36ob9ob8ob4ob8o$73b6o3b11ob10ob2ob25obob4ob27obob14o2b8ob11o$75b8o
b23ob4ob4ob14o2b3ob35ob8ob15ob6o$77b22ob11o2b6ob10ob4ob33o2b27obo2bo$
77b53ob7ob4ob55o$78bo3b30ob16obob6obob2ob13ob13obob4ob19o$79bob28ob2ob
16ob2ob40ob5ob17o$80b53ob7ob16ob16ob18o$80b22ob29obob18ob2ob14ob6ob14o
$80b19ob54obob3ob15ob11ob4o$81b18ob34ob17ob4ob2o2b29o$82b15ob3ob26ob
29ob31o$84b13ob59ob7ob3ob2ob14o$84b21ob50obobob6ob17obo$86b10obob8ob6o
b40o2b11ob8ob5ob2o$88b9ob16obob2ob9ob3ob20ob12ob6ob7obo$90b15ob2ob3ob
8ob31ob2ob3ob10ob10o$92b14ob15ob7ob21obob3ob8ob6ob5o$95b12ob11ob7ob2ob
20o2b7ob17o$96b12ob14ob2ob23ob3ob7ob11obo$96bo4b8ob11ob3o2b2ob19ob2ob
11ob9o$101b2ob6ob29ob8o2b5ob2ob6ob8o$104b2ob16ob7ob12ob9obob7ob9o$105b
13ob2ob20ob3ob5ob2ob3ob13o$105bob18ob7ob8ob12ob5ob8o$107b15ob27o2b17o$
106b21ob7ob16o2b2ob2ob6o2bo$107b27ob16ob2ob2o3b5o$109b20ob24ob2obo$
111b40ob3o2bo$113b18ob24o$115b39o$117b13ob2ob20o$117b17ob17o$120b20ob
9o$122bo2b5obob15o$126b19o$128b7ob8o$129b13obo$130b10o$132b8o$134b4o!

Almost...

Code: Select all

#C B0123478/S01236
x = 199, y = 181, rule = B0123478/S01236
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$88o2b
17o88b2o$85obo2bob16o85bob2obo$88ob2ob15o88bo2bo$30o54b6o2b99o6b2o$30o
54b3o5b99o3b5o$30o55b3ob103o3bo$30o60bob105obo$30o56bob3ob101obo3bo$
30o55b2o4b101o2b4o$30o55b2o5b100o2b5o$30o54bo4bo2b99ob4ob2o$30o56b2obo
b102o2bobo$30o54bo3b2o2b99ob3o2b2o$30o54b4obob100o4bobo$30o56bob2ob
102obo2bo$30o55b3o3b101o3b3o$30o56bo2b104ob2o$30o55b2o2b2ob100o2b2o2bo
$30o57b107o$30o54b2ob3o2b99o2bo3b2o$30o54bobob103obobo$30o54b3o3bob99o
3b3obo$30o57b2o2b103o2b2o$30o54b3ob3ob99o3bo3bo$30o54bob3o2b100obo3b2o
$30o54b2o6b99o2b6o$30o54b3obobob99o3bobobo$30o54b2ob2o3b99o2bo2b3o$30o
54b4ob2ob99o4bo2bo$30o55bo2bo2b101ob2ob2o$30o55b2ob2o2b100o2bo2b2o$30o
54b2o6b99o2b6o$30o54b2ob4ob99o2bo4bo$30o55b2ob2ob101o2bo2bo$30o56bo2b
2ob101ob2o2bo$30o58bo3b103ob3o$30o54bobobo3b99obobob3o$30o54b3o5b99o3b
5o$30o54b4ob2ob99o4bo2bo$30o54bo5b101ob5o$30o55b2o3bob100o2b3obo$30o
54b2ob3o2b99o2bo3b2o$30o57b2obob102o2bobo$30o55bo2b3ob100ob2o3bo$30o
57bo4b102ob4o$30o54b2obo2b101o2bob2o$30o56bo2b2ob101ob2o2bo$30o54b4ob
102o4bo$30o54b5o3b99o5b3o$30o56bob105obo$30o55bo2bo3b100ob2ob3o$30o56b
o2bo2b101ob2ob2o$30o54b4ob102o4bo$30o54b2ob104o2bo$30o54bob2obob100obo
2bobo$30o54bo2b2obob99ob2o2bobo$30o56b107o$30o54bobob2o2b99obobo2b2o$
30o55bob105obo$30o59b107o$30o55bobo2bob100obob2obo$30o55b3ob103o3bo$
30o56b3o3b101o3b3o$30o56bo2b104ob2o$30o54b3obo2b100o3bob2o$30o55bob2o
3b100obo2b3o$30o54b3obob101o3bobo$30o54bobo3b101obob3o$30o59b2ob104o2b
o$30o56b2obo2b101o2bob2o$30o56bo3b103ob3o$30o55b4ob102o4bo$30o54b2o4bo
b99o2b4obo$30o54b2ob4ob99o2bo4bo$30o56bo4b102ob4o$30o56b107o$30o54bobo
b2ob100obobo2bo$30o54bo4b2ob99ob4o2bo$30o58bo3b103ob3o$30o54b107o$30o
56b3obob101o3bobo$30o54b2ob2obob99o2bo2bobo$30o54b2o2b2ob100o2b2o2bo$
30o54bob2o2bob99obo2b2obo$30o55b2obobob100o2bobobo$30o59bob105obo$85ob
ob2o2b15o85bobo2b2o$84ob2o5b15o84bo2b5o$86o3bo2b15o86b3ob2o$84o3b2o2b
16o84b3o2b2o$84o2b4ob16o84b2o4bo$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$
107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o$107o!

[confocaloid]

How to describe an object/reaction that does not evolve in the same way in any "intermediate" rule closer to Life (B3/S23)?
It seems like the notion arises frequently (e.g. a spaceship found in 2TFL may or may not work in 1TFL), but there's no short term for it.

E.g. a particular reaction in B2n3/S23-q qualifies if and only if it does not work in either of { B3/S23, B2n3/S23, B3/S23-q }, i.e. iff the reaction requires both +B2n and -S3q to work.

Existing terms cannot capture this idea:
* an alien object/reaction is one that doesn't work in Life
* an endemic object/reaction is one that doesn't work in any other rule in a given rulespace (the rulespace is either understood from the context, or stated explicitly)
* the minrule is obtained by subtracting as many conditions as possible, while preserving the evolutionary sequence

[Period1GliderGun]

How to describe an object/reaction that does not evolve in the same way in any "intermediate" rule closer to Life (B3/S23)?
It seems like the notion arises frequently (e.g. a spaceship found in 2TFL may or may not work in 1TFL), but there's no short term for it.

E.g. a particular reaction in B2n3/S23-q qualifies if and only if it does not work in either of { B3/S23, B2n3/S23, B3/S23-q }, i.e. iff the reaction requires both +B2n and -S3q to work.

Existing terms cannot capture this idea:
* an alien object/reaction is one that doesn't work in Life
* an endemic object/reaction is one that doesn't work in any other rule in a given rulespace (the rulespace is either understood from the context, or stated explicitly)
* the minrule is obtained by subtracting as many conditions as possible, while preserving the evolutionary sequence

I'm not sure that there is an existing term for it. The way I came up with of addressing something like, say, the LeapLife knightship, is to say "B2n3/S23-q is the MTFL rule that supports Lepa." MTFL stands for "minimum transitions from Life," on the pattern of 1TFL, 2TFL, etc.

[Haycat2009]

I have been trying to figure out this for a while but why are almost all B34 rules explosive?