H. H. P. M. P. Cole wrote: ↑April 15th, 2024, 1:21 am

I am trying to explore this weighted neighbourhood:

Code: Select all

```
00 00 00 01 00 00 00
00 00 00 05 00 00 00
00 00 00 19 00 00 00
01 05 19 00 19 05 01
00 00 00 19 00 00 00
00 00 00 05 00 00 00
00 00 00 01 00 00 00
```

My wish was to explore INT R3 Cross, but since LifeViewer does not support CAViewer or Durnak-Cole, this is the closest I can go.

Here are all the objects I have found in this rulespace where every phase of the object fits within a 4x1 box.

Code: Select all

```
index,rle,xdisplacement,period,rule
1,o!,0,1,"R3,C2,S0,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
2,2o!,0,1,"R3,C2,S25,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
3,2o!,0,2,"R3,C2,S,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
4,2o!,0,2,"R3,C2,S25,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
5,2o!,0,3,"R3,C2,S25,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
6,2o!,0,3,"R3,C2,S1,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
7,obo!,0,1,"R3,C2,S5,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
8,obo!,0,2,"R3,C2,S5,30,B50,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
9,3o!,0,1,"R3,C2,S30,50,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
8,3o!,0,2,"R3,C2,S5,30,B50,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
10,o2bo!,0,1,"R3,C2,S1,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
3,o2bo!,0,2,"R3,C2,S,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
11,o2bo!,0,2,"R3,C2,S1,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
5,o2bo!,0,3,"R3,C2,S25,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
6,o2bo!,0,3,"R3,C2,S1,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
12,ob2o!,0,1,"R3,C2,S6,26,30,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
13,ob2o!,-1,1,"R3,C2,S30,B26,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
14,ob2o!,1,1,"R3,C2,S26,B30,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
15,ob2o!,2,1,"R3,C2,S30,B6,30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
16,ob2o!,0,2,"R3,C2,S6,30,B26,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
17,ob2o!,0,2,"R3,C2,S6,26,B55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
18,ob2o!,0,2,"R3,C2,S30,B30,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
19,ob2o!,0,2,"R3,C2,S26,30,B6,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
20,4o!,0,1,"R3,C2,S31,55,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
4,4o!,0,2,"R3,C2,S25,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
11,4o!,0,2,"R3,C2,S1,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
5,4o!,0,3,"R3,C2,S25,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
6,4o!,0,3,"R3,C2,S1,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000"
```

The index number is for itemizing the objects.

As one can see, ob2o! has the largest number of mod-1 objects, with a whopping

**8** of them.

Here are all 20 objects, in RLE form:

1.

Code: Select all

```
x = 1, y = 1, rule = R3,C2,S0,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
o!
```

2.

Code: Select all

```
x = 2, y = 1, rule = R3,C2,S25,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2o!
```

3.

Code: Select all

```
x = 2, y = 1, rule = R3,C2,S,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2o!
```

4.

Code: Select all

```
x = 2, y = 1, rule = R3,C2,S25,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2o!
```

5.

Code: Select all

```
x = 2, y = 1, rule = R3,C2,S25,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2o!
```

6.

Code: Select all

```
x = 2, y = 1, rule = R3,C2,S1,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2o!
```

7.

Code: Select all

```
x = 3, y = 1, rule = R3,C2,S5,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
obo!
```

8.

Code: Select all

```
x = 3, y = 1, rule = R3,C2,S5,30,B50,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
obo!
```

9.

Code: Select all

```
x = 3, y = 1, rule = R3,C2,S30,50,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
3o!
```

10.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S1,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
o2bo!
```

11.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S1,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
o2bo!
```

12.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S6,26,30,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

13.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S30,B26,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

14.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S26,B30,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

15.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S30,B6,30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

16.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S6,30,B26,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

17.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S6,26,B55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

18.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S30,B30,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

19.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S26,30,B6,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
ob2o!
```

20.

Code: Select all

```
x = 4, y = 1, rule = R3,C2,S31,55,B,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
4o!
```

Of these 20 rules, rules 3, 4, 5, 6, 11, 13, 14, 15, 16, 18, and 19 can expand their bounding box. ob2o! in rules 13, 14, and 15 is a ship. Rule 15 is explosive.

Other ships:

Rule 4 (the first ship works in rule 5):

Code: Select all

```
x = 21, y = 4, rule = R3,C2,S25,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2bo15bo$2bobo11b2o$o16bob2o$18bo!
```

Rule 5 (this ship works in rule 4):

Code: Select all

```
x = 5, y = 3, rule = R3,C2,S25,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2bo$2bobo$o!
```

Rule 6 (this ship works in rule 11):

Code: Select all

```
x = 4, y = 2, rule = R3,C2,S1,55,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
bo$o2bo!
```

Rule 11 (this ship works in rule 6):

Code: Select all

```
x = 4, y = 2, rule = R3,C2,S1,31,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
bo$o2bo!
```

Rule 18:

Code: Select all

```
x = 4, y = 3, rule = R3,C2,S30,B30,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
2b2o$b2o$o!
```