Large-scale chaotic patterns in highlife from 4 replicators
Posted: August 15th, 2013, 6:45 pm
I don't know if this is of interest, but I've been trying out four replicators (the quad-shaped 6-cell form) in an almost-square of varying sizes, with one of the four replicators extruded diagonally by (1,1).
Odds (initial pattern bound x and y odd) often reduce to some exhaust and two axes of replicators, but this one stands out:
#CXRLE Pos=0,0
x = 17, y = 17, rule = B36/S23
b3o8b3o$o14bo$o14bo$o14bo9$o$o15bo$o15bo$b3o12bo$13b3o!
After a few million generations it also begins to generate gliders at the boundaries of the chaotic central exhaust region. I don't know if the glider generation is infinite, but I see no reason to think this sort of pattern would ever stabilize into static exhaust plus replicators plus (optionally) SS plus gliders, although other odd-bounded initial conditions do tend to do that.
mc.gz file of that pattern run to slightly over 12 million generations: http://www6.zippyshare.com/v/99884044/file.html
Evens (initial pattern x and y bound even) don't (usually?) have two axes of symmetry, but they can still lead to intriguing chaotic structure; one example:
#CXRLE Pos=0,0
x = 28, y = 28, rule = B36/S23
b3o19b3o$o25bo$o25bo$o25bo20$o$o26bo$o26bo$b3o23bo$24b3o!
mc.gz of that run to 6.36M generations: http://www67.zippyshare.com/v/22567930/file.html
Odds (initial pattern bound x and y odd) often reduce to some exhaust and two axes of replicators, but this one stands out:
#CXRLE Pos=0,0
x = 17, y = 17, rule = B36/S23
b3o8b3o$o14bo$o14bo$o14bo9$o$o15bo$o15bo$b3o12bo$13b3o!
After a few million generations it also begins to generate gliders at the boundaries of the chaotic central exhaust region. I don't know if the glider generation is infinite, but I see no reason to think this sort of pattern would ever stabilize into static exhaust plus replicators plus (optionally) SS plus gliders, although other odd-bounded initial conditions do tend to do that.
mc.gz file of that pattern run to slightly over 12 million generations: http://www6.zippyshare.com/v/99884044/file.html
Evens (initial pattern x and y bound even) don't (usually?) have two axes of symmetry, but they can still lead to intriguing chaotic structure; one example:
#CXRLE Pos=0,0
x = 28, y = 28, rule = B36/S23
b3o19b3o$o25bo$o25bo$o25bo20$o$o26bo$o26bo$b3o23bo$24b3o!
mc.gz of that run to 6.36M generations: http://www67.zippyshare.com/v/22567930/file.html