ChaosTrains
Posted: July 22nd, 2012, 3:41 pm
This is a rule that came up while exploring the space of rules where birth is determined on the Moore neighborhood, survival on the von Neumann neighborhood; B36/S23 there to be specific (nothing else of much interest has turn'd up so far).
Ruletable (save as ChaosTrains.table):
This is another of those rules with patterns that explode in one direction only, and only along a mirror axis, and here the chaos remains quite close to the axis — hence the name. Here are two small seeds that generate "trains":
These first interact around gen. 2070, and you can see how it quickly leads to large parts of the upper train dying out. If you keep running these, two surviving secondary trains are born at the right end around gens 8200 and 8500. The right end of the lower original train is killed around gen 9800 as the asymmetry created by one of the new trains catches up with it, the upper right one suffers the same fate around gen 14500. In the long term, more new trains would be born and old train-tracks keep decaying, eventually filling the plane with a sparse grid of ash. Pretty interesting cosmology IMO.
As for objects, I've found three marginally natural (switch-engine-ish, only seen each emerge once) glide-reflectiv spaceships — 4c/8 orthogonal, 6c/38 diagonal, and c/8 diagonal — plus a larger synthetic spaceship with huge sparks. "Blocky" still lifes and oscillators based on them are easy to construct; there's also a p24 shuttle.
A couple puffers mostly based on the 2-train spaceship:
And here's a "breeder" demonstrating the chaoticness of the trains' growth:
Ruletable (save as ChaosTrains.table):
Code: Select all
# = BMoore36/SvonNeumann23
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1}
var b = {a}
var c = {a}
var d = {a}
#B3
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,0,1,1,1,0,0,0,0,1
0,0,1,1,0,1,0,0,0,1
0,0,1,1,0,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,0,1,0,1,0,0,1,0,1
#B6
0,1,1,1,1,1,1,0,0,1
0,1,1,1,0,1,1,1,0,1
0,1,1,1,1,0,1,1,0,1
0,1,1,1,1,1,0,1,0,1
0,0,1,1,1,1,1,1,0,1
0,0,1,1,1,0,1,1,1,1
0,0,1,1,1,1,0,1,1,1
0,0,1,1,1,1,1,0,1,1
#D0V
1,0,a,0,b,0,c,0,d,0
#D1V
1,1,a,0,b,0,c,0,d,0
#S2V
1,1,a,1,b,0,c,0,d,1
1,1,a,0,b,1,c,0,d,1
#S3V
1,1,a,1,b,1,c,0,d,1
#D4V
1,1,a,1,b,1,c,1,d,0Code: Select all
x = 4, y = 44, rule = ChaosTrains
3bo$2obo$2obo$3bo37$b2o$3o$3o$b2o!As for objects, I've found three marginally natural (switch-engine-ish, only seen each emerge once) glide-reflectiv spaceships — 4c/8 orthogonal, 6c/38 diagonal, and c/8 diagonal — plus a larger synthetic spaceship with huge sparks. "Blocky" still lifes and oscillators based on them are easy to construct; there's also a p24 shuttle.
Code: Select all
x = 117, y = 82, rule = ChaosTrains
33b2o$32b3o$31b2obo$33bobo$34b2o$34b2o2$4o3b4o5b4o6bo$4o3b4o5b4o4bob2o
$b2o5b2o7b2o4b5o$17b2o4bob2o$16bo2bo4b3o$16b2obo$19bo20b2o$36b2o2b4o$
24b2o4b2o4b5o2bo$24b2o4b2o6bobo2b2o$23b2o3b2o8b7o$23b2o3b2o3b2ob3o2b2o
$33b2ob3o$34b3o$23b2o8b2o$23b2o8b2o2$62bo$24bo4bo3bo6bo6bo6bo5b2o$24bo
3b2o3b2o2b4o3b5o2b4o4bobo26b2o10b2o$24bo3bo3bo7bo4bo6bo2bo3b2o27b2o10b
2o8b2o3b2o$58bo28b4o8b4o7b2o3b2o$85b3o2b3o4b3o2b3o6b3obo$35bobo47b3o2b
3o4b3o2b3o6b3obo$23b2o3b2o2b2obobob2o2b2ob2o2b2o35b4o8b4o7b2ob4o$23b7o
2b9o2b2ob2o2b2o36b3o9b2o8b2ob2o$44b3ob3o38bo23b2o$25b2ob2o4b2ob2o4b2o
2b2ob2o36b3o9b2o8b2ob2o$25b2ob2o4b2ob2o4b2o2b2ob2o35b4o8b4o7b2ob2o$85b
3o2b3o4b3o2b3o3b9o$17b2o59b2o5b3o2b3o4b3o2b3o3b2o2bo2bo$17b2o19bo5b2o
8b2o12b2obo4b4o4b2o6b2o2b2o6b2o6b5o$16b4o4b3ob3o4b6o3b5o5b5ob2o6b5ob3o
2b2o3b2o6b2o2b2o6b2o7b2o$15b2o2b2o2b2ob3ob2o2b2ob4o7b3o5bob4o4b2o4bobo
4b2o32b2o$16b4o4b3ob3o4b3o2b2o4b5o5b3o2b2o3b2o2b3ob5o$17b2o21b2o4b2o2b
2o3b2o4b2o4b4o4bob2o5b2o6b2o2b2o6b2o$17b2o31b2o3b2o10b2o15b2o6b2o2b2o
6b2o$85b3o2b3o4b3o2b3o$85b3o2b3o4b3o2b3o$26bo7b2o25b3o23b4o8b4o$24b3o
3bob5o4b3o5b2o11b2o24b3o9b2o$25b2o3b4o5bob2o6b2o6b3o2bo26bo$23b2o5b2o
7b2o5b3o6bo2b2o29bo$23b3o5bo7b2o6b3o3b3o2bo29b3o9b2o$23bo30b3o30b4o8b
4o$54bo30b3o2b3o4b3o2b3o$27b2o56b3o2b3o4b3o2b3o$25bob2o58b4o8b4o$23b2o
bo61b2o10b2o$23b2o63b2o10b2o3$23bo$23b2o3b3o$23b2o4b2obo$30b2o11bo$22b
3o5b4o7b2ob3o$23b2o7b2o7b2ob3o$33bo9bo3$23b2o$23b2o$25b2o$25b2obo$27b
2o$27b2o$27bob2o$29b2obo$31bob2o$33b2o$35b2o$35b2o$37b2o$37b2o!Code: Select all
x = 277, y = 12, rule = ChaosTrains
50b4o3b4o$50b4o3b4o$4o3b4o40b2o5b2o$4o3b4o85b4o3b4o$b2o5b2o86b4o3b4o$b
2o4bo2bo21b4o3b4o54b2o5b2o$b2o29b4o3b4o100b4o3b4o40b4o3b4o69b2o$b2o30b
2o5b2o34b4o3b4o56b4o3b4o40b4o3b4o34b4o3b4o15b4o4b4o$76b4o3b4o57b2o5b2o
21b4o3b4o10b2o5b2o35b4o3b4o15b4o4bo2bo$77b2o5b2o39b4o3b4o38b4o3b4o37b
4o3b4o7b2o5b2o17b2o6b2o$125b4o3b4o39b2o5b2o38b4o3b4o$126b2o5b2o88b2o5b
2o!Code: Select all
x = 31, y = 4, rule = ChaosTrains
20b4o3b4o$4o3b4o9b4o3b4o$4o3b4o10b2o5b2o$b2o5b2o!