Been exploring some non-totalistic isotropic rules lately. Here's a ruletable for one very weakly exploding rule:
Code: Select all
#Dustclouds03
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
#B2 growth
0,1,0,1,0,0,0,0,0,1
0,0,1,0,1,0,0,0,0,1
#B3 except growth
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
#S0
1,0,0,0,0,0,0,0,0,1
#S3
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
#D1
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
#D2
1,1,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0
#D4
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
#D5
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
#D6
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
#D7
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
#D8
1,1,1,1,1,1,1,1,1,0
To be specific, the rule is B3/S03, except with the two bounding-box extending birth environments replaced by their B2 counterparts:
I find it rather impressiv that there exists a 3-cell methuselah that takes ~14000 generations:
Objects-wise there's a fair-sized p2 oscillator grammar and a few larger oscs, including Life's clock (appearing much more regularly than I've seen in any Life-like CA) and an unbreakable frame. I rather like the "rotating" P6:
It also seems that the rule grows much faster if there is bilateral symmetry, than if there isn't. Eg. this 3-cell seed reaches a population of 10k around 6 kgens:
Same seed, plus one dot to introduce asymmetry, only reaches a population of 10k after about 32+ kgens.
This kind of behavior may suggest the existence of an orthogonal spaceship or puffer engine…