Doing the same thing to HighLife instead leads to a second alien replicator, which is a certain sort of beehive:
Code:
Select all
x = 16, y = 16, rule = sandbox
5o3bo2bo$6bo2bo5bo$3b5o2bob2obo$2o8b4o$o3bob2obob2o$b2obo2b6o$2o6bob3o
2bo$2bo2b2ob5o$2obo2bo5b4o$3bo4bob2o3bo$2bob2o2bo4bobo$obo2b3obobob2o$
5o2bo2b6o$o4b5o2bo$2obo2b3o2bob2o$2ob4ob2ob2obo!
@RULE sandbox
This is a multistate variation of HighLife (B36/S23).
When an alive cell reaches maximum age (state 63), the cell
"counts as 3 alive neighbours" instead of one.
https://conwaylife.com/forums/viewtopic.php?p=182794#p182794
https://conwaylife.com/forums/viewtopic.php?p=182756#p182756
Inspired by the description of a screensaver 'Cloud Life',
where maximum-age alive cells count as 3:
https://www.jwz.org/xscreensaver/screenshots/
https://conwaylife.com/forums/viewtopic.php?p=182748#p182748
@TABLE
n_states:64
neighborhood:Moore
symmetries:permute
var x0 = { 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 } # any cell
var x1 = x0
var x2 = x0
var x3 = x0
var x4 = x0
var x5 = x0
var x6 = x0
var x7 = x0
var x8 = x0
var a1 = { 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 } # non-max-age alive cell
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
# birth rules
0, a1, a2, a3, 0, 0, 0, 0, 0, 1 # n_max_age = 0, n_other = 3
0, a1, a2, a3, a4, a5, a6, 0, 0, 1 # n_max_age = 0, n_other = 6
0, 63, 0, 0, 0, 0, 0, 0, 0, 1 # n_max_age = 1, n_other = 0
0, a1, a2, a3, 63, 0, 0, 0, 0, 1 # n_max_age = 1, n_other = 3
0, 63, 63, 0, 0, 0, 0, 0, 0, 1 # n_max_age = 2, n_other = 0
# survival rules (n_max_age = 0, n_other = 2)
1, a1, a2, 0, 0, 0, 0, 0, 0, 2
2, a1, a2, 0, 0, 0, 0, 0, 0, 3
3, a1, a2, 0, 0, 0, 0, 0, 0, 4
4, a1, a2, 0, 0, 0, 0, 0, 0, 5
5, a1, a2, 0, 0, 0, 0, 0, 0, 6
6, a1, a2, 0, 0, 0, 0, 0, 0, 7
7, a1, a2, 0, 0, 0, 0, 0, 0, 8
8, a1, a2, 0, 0, 0, 0, 0, 0, 9
9, a1, a2, 0, 0, 0, 0, 0, 0, 10
10, a1, a2, 0, 0, 0, 0, 0, 0, 11
11, a1, a2, 0, 0, 0, 0, 0, 0, 12
12, a1, a2, 0, 0, 0, 0, 0, 0, 13
13, a1, a2, 0, 0, 0, 0, 0, 0, 14
14, a1, a2, 0, 0, 0, 0, 0, 0, 15
15, a1, a2, 0, 0, 0, 0, 0, 0, 16
16, a1, a2, 0, 0, 0, 0, 0, 0, 17
17, a1, a2, 0, 0, 0, 0, 0, 0, 18
18, a1, a2, 0, 0, 0, 0, 0, 0, 19
19, a1, a2, 0, 0, 0, 0, 0, 0, 20
20, a1, a2, 0, 0, 0, 0, 0, 0, 21
21, a1, a2, 0, 0, 0, 0, 0, 0, 22
22, a1, a2, 0, 0, 0, 0, 0, 0, 23
23, a1, a2, 0, 0, 0, 0, 0, 0, 24
24, a1, a2, 0, 0, 0, 0, 0, 0, 25
25, a1, a2, 0, 0, 0, 0, 0, 0, 26
26, a1, a2, 0, 0, 0, 0, 0, 0, 27
27, a1, a2, 0, 0, 0, 0, 0, 0, 28
28, a1, a2, 0, 0, 0, 0, 0, 0, 29
29, a1, a2, 0, 0, 0, 0, 0, 0, 30
30, a1, a2, 0, 0, 0, 0, 0, 0, 31
31, a1, a2, 0, 0, 0, 0, 0, 0, 32
32, a1, a2, 0, 0, 0, 0, 0, 0, 33
33, a1, a2, 0, 0, 0, 0, 0, 0, 34
34, a1, a2, 0, 0, 0, 0, 0, 0, 35
35, a1, a2, 0, 0, 0, 0, 0, 0, 36
36, a1, a2, 0, 0, 0, 0, 0, 0, 37
37, a1, a2, 0, 0, 0, 0, 0, 0, 38
38, a1, a2, 0, 0, 0, 0, 0, 0, 39
39, a1, a2, 0, 0, 0, 0, 0, 0, 40
40, a1, a2, 0, 0, 0, 0, 0, 0, 41
41, a1, a2, 0, 0, 0, 0, 0, 0, 42
42, a1, a2, 0, 0, 0, 0, 0, 0, 43
43, a1, a2, 0, 0, 0, 0, 0, 0, 44
44, a1, a2, 0, 0, 0, 0, 0, 0, 45
45, a1, a2, 0, 0, 0, 0, 0, 0, 46
46, a1, a2, 0, 0, 0, 0, 0, 0, 47
47, a1, a2, 0, 0, 0, 0, 0, 0, 48
48, a1, a2, 0, 0, 0, 0, 0, 0, 49
49, a1, a2, 0, 0, 0, 0, 0, 0, 50
50, a1, a2, 0, 0, 0, 0, 0, 0, 51
51, a1, a2, 0, 0, 0, 0, 0, 0, 52
52, a1, a2, 0, 0, 0, 0, 0, 0, 53
53, a1, a2, 0, 0, 0, 0, 0, 0, 54
54, a1, a2, 0, 0, 0, 0, 0, 0, 55
55, a1, a2, 0, 0, 0, 0, 0, 0, 56
56, a1, a2, 0, 0, 0, 0, 0, 0, 57
57, a1, a2, 0, 0, 0, 0, 0, 0, 58
58, a1, a2, 0, 0, 0, 0, 0, 0, 59
59, a1, a2, 0, 0, 0, 0, 0, 0, 60
60, a1, a2, 0, 0, 0, 0, 0, 0, 61
61, a1, a2, 0, 0, 0, 0, 0, 0, 62
62, a1, a2, 0, 0, 0, 0, 0, 0, 63
63, a1, a2, 0, 0, 0, 0, 0, 0, 63
# survival rules (n_max_age = 0, n_other = 3)
1, a1, a2, a3, 0, 0, 0, 0, 0, 2
2, a1, a2, a3, 0, 0, 0, 0, 0, 3
3, a1, a2, a3, 0, 0, 0, 0, 0, 4
4, a1, a2, a3, 0, 0, 0, 0, 0, 5
5, a1, a2, a3, 0, 0, 0, 0, 0, 6
6, a1, a2, a3, 0, 0, 0, 0, 0, 7
7, a1, a2, a3, 0, 0, 0, 0, 0, 8
8, a1, a2, a3, 0, 0, 0, 0, 0, 9
9, a1, a2, a3, 0, 0, 0, 0, 0, 10
10, a1, a2, a3, 0, 0, 0, 0, 0, 11
11, a1, a2, a3, 0, 0, 0, 0, 0, 12
12, a1, a2, a3, 0, 0, 0, 0, 0, 13
13, a1, a2, a3, 0, 0, 0, 0, 0, 14
14, a1, a2, a3, 0, 0, 0, 0, 0, 15
15, a1, a2, a3, 0, 0, 0, 0, 0, 16
16, a1, a2, a3, 0, 0, 0, 0, 0, 17
17, a1, a2, a3, 0, 0, 0, 0, 0, 18
18, a1, a2, a3, 0, 0, 0, 0, 0, 19
19, a1, a2, a3, 0, 0, 0, 0, 0, 20
20, a1, a2, a3, 0, 0, 0, 0, 0, 21
21, a1, a2, a3, 0, 0, 0, 0, 0, 22
22, a1, a2, a3, 0, 0, 0, 0, 0, 23
23, a1, a2, a3, 0, 0, 0, 0, 0, 24
24, a1, a2, a3, 0, 0, 0, 0, 0, 25
25, a1, a2, a3, 0, 0, 0, 0, 0, 26
26, a1, a2, a3, 0, 0, 0, 0, 0, 27
27, a1, a2, a3, 0, 0, 0, 0, 0, 28
28, a1, a2, a3, 0, 0, 0, 0, 0, 29
29, a1, a2, a3, 0, 0, 0, 0, 0, 30
30, a1, a2, a3, 0, 0, 0, 0, 0, 31
31, a1, a2, a3, 0, 0, 0, 0, 0, 32
32, a1, a2, a3, 0, 0, 0, 0, 0, 33
33, a1, a2, a3, 0, 0, 0, 0, 0, 34
34, a1, a2, a3, 0, 0, 0, 0, 0, 35
35, a1, a2, a3, 0, 0, 0, 0, 0, 36
36, a1, a2, a3, 0, 0, 0, 0, 0, 37
37, a1, a2, a3, 0, 0, 0, 0, 0, 38
38, a1, a2, a3, 0, 0, 0, 0, 0, 39
39, a1, a2, a3, 0, 0, 0, 0, 0, 40
40, a1, a2, a3, 0, 0, 0, 0, 0, 41
41, a1, a2, a3, 0, 0, 0, 0, 0, 42
42, a1, a2, a3, 0, 0, 0, 0, 0, 43
43, a1, a2, a3, 0, 0, 0, 0, 0, 44
44, a1, a2, a3, 0, 0, 0, 0, 0, 45
45, a1, a2, a3, 0, 0, 0, 0, 0, 46
46, a1, a2, a3, 0, 0, 0, 0, 0, 47
47, a1, a2, a3, 0, 0, 0, 0, 0, 48
48, a1, a2, a3, 0, 0, 0, 0, 0, 49
49, a1, a2, a3, 0, 0, 0, 0, 0, 50
50, a1, a2, a3, 0, 0, 0, 0, 0, 51
51, a1, a2, a3, 0, 0, 0, 0, 0, 52
52, a1, a2, a3, 0, 0, 0, 0, 0, 53
53, a1, a2, a3, 0, 0, 0, 0, 0, 54
54, a1, a2, a3, 0, 0, 0, 0, 0, 55
55, a1, a2, a3, 0, 0, 0, 0, 0, 56
56, a1, a2, a3, 0, 0, 0, 0, 0, 57
57, a1, a2, a3, 0, 0, 0, 0, 0, 58
58, a1, a2, a3, 0, 0, 0, 0, 0, 59
59, a1, a2, a3, 0, 0, 0, 0, 0, 60
60, a1, a2, a3, 0, 0, 0, 0, 0, 61
61, a1, a2, a3, 0, 0, 0, 0, 0, 62
62, a1, a2, a3, 0, 0, 0, 0, 0, 63
63, a1, a2, a3, 0, 0, 0, 0, 0, 63
# survival rules (n_max_age = 1, n_other = 0)
1, 63, 0, 0, 0, 0, 0, 0, 0, 2
2, 63, 0, 0, 0, 0, 0, 0, 0, 3
3, 63, 0, 0, 0, 0, 0, 0, 0, 4
4, 63, 0, 0, 0, 0, 0, 0, 0, 5
5, 63, 0, 0, 0, 0, 0, 0, 0, 6
6, 63, 0, 0, 0, 0, 0, 0, 0, 7
7, 63, 0, 0, 0, 0, 0, 0, 0, 8
8, 63, 0, 0, 0, 0, 0, 0, 0, 9
9, 63, 0, 0, 0, 0, 0, 0, 0, 10
10, 63, 0, 0, 0, 0, 0, 0, 0, 11
11, 63, 0, 0, 0, 0, 0, 0, 0, 12
12, 63, 0, 0, 0, 0, 0, 0, 0, 13
13, 63, 0, 0, 0, 0, 0, 0, 0, 14
14, 63, 0, 0, 0, 0, 0, 0, 0, 15
15, 63, 0, 0, 0, 0, 0, 0, 0, 16
16, 63, 0, 0, 0, 0, 0, 0, 0, 17
17, 63, 0, 0, 0, 0, 0, 0, 0, 18
18, 63, 0, 0, 0, 0, 0, 0, 0, 19
19, 63, 0, 0, 0, 0, 0, 0, 0, 20
20, 63, 0, 0, 0, 0, 0, 0, 0, 21
21, 63, 0, 0, 0, 0, 0, 0, 0, 22
22, 63, 0, 0, 0, 0, 0, 0, 0, 23
23, 63, 0, 0, 0, 0, 0, 0, 0, 24
24, 63, 0, 0, 0, 0, 0, 0, 0, 25
25, 63, 0, 0, 0, 0, 0, 0, 0, 26
26, 63, 0, 0, 0, 0, 0, 0, 0, 27
27, 63, 0, 0, 0, 0, 0, 0, 0, 28
28, 63, 0, 0, 0, 0, 0, 0, 0, 29
29, 63, 0, 0, 0, 0, 0, 0, 0, 30
30, 63, 0, 0, 0, 0, 0, 0, 0, 31
31, 63, 0, 0, 0, 0, 0, 0, 0, 32
32, 63, 0, 0, 0, 0, 0, 0, 0, 33
33, 63, 0, 0, 0, 0, 0, 0, 0, 34
34, 63, 0, 0, 0, 0, 0, 0, 0, 35
35, 63, 0, 0, 0, 0, 0, 0, 0, 36
36, 63, 0, 0, 0, 0, 0, 0, 0, 37
37, 63, 0, 0, 0, 0, 0, 0, 0, 38
38, 63, 0, 0, 0, 0, 0, 0, 0, 39
39, 63, 0, 0, 0, 0, 0, 0, 0, 40
40, 63, 0, 0, 0, 0, 0, 0, 0, 41
41, 63, 0, 0, 0, 0, 0, 0, 0, 42
42, 63, 0, 0, 0, 0, 0, 0, 0, 43
43, 63, 0, 0, 0, 0, 0, 0, 0, 44
44, 63, 0, 0, 0, 0, 0, 0, 0, 45
45, 63, 0, 0, 0, 0, 0, 0, 0, 46
46, 63, 0, 0, 0, 0, 0, 0, 0, 47
47, 63, 0, 0, 0, 0, 0, 0, 0, 48
48, 63, 0, 0, 0, 0, 0, 0, 0, 49
49, 63, 0, 0, 0, 0, 0, 0, 0, 50
50, 63, 0, 0, 0, 0, 0, 0, 0, 51
51, 63, 0, 0, 0, 0, 0, 0, 0, 52
52, 63, 0, 0, 0, 0, 0, 0, 0, 53
53, 63, 0, 0, 0, 0, 0, 0, 0, 54
54, 63, 0, 0, 0, 0, 0, 0, 0, 55
55, 63, 0, 0, 0, 0, 0, 0, 0, 56
56, 63, 0, 0, 0, 0, 0, 0, 0, 57
57, 63, 0, 0, 0, 0, 0, 0, 0, 58
58, 63, 0, 0, 0, 0, 0, 0, 0, 59
59, 63, 0, 0, 0, 0, 0, 0, 0, 60
60, 63, 0, 0, 0, 0, 0, 0, 0, 61
61, 63, 0, 0, 0, 0, 0, 0, 0, 62
62, 63, 0, 0, 0, 0, 0, 0, 0, 63
63, 63, 0, 0, 0, 0, 0, 0, 0, 63
# the most boring rule (every other cell dies or stays dead)
x0, x1, x2, x3, x4, x5, x6, x7, x8, 0