I've implemented a new way to define generations-like rules. Maybe someone has done this before, I don't know. Anyway, it creates rules with interesting behaviors.
How it works
This rules use the sum of the values of its neighbors. For example, in a +4 rule, every cell whose neighbors add to 4 will increment its value by 1 in the next generation:
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101 200 100
1X0 2X0 0X0
010 000 102
How to create new rules
To create rules, you need the make-ruletree.py Golly script (from here: http://ruletablerepository.googlecode.c ... uletree.py )
Then, copy the following script to your clipboard (modify name, n_states, states, plus and minus to match your desired rule) and run make-ruletree.py from Golly:
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name = "+4-5-6c3"
n_states = 3 # must match states
n_neighbors = 8
def transition_function(a):
# +4-5-6:3
plus = [4] # +x
minus = [5,6] # -x
states = 3 # must match n_states
p = 0
m = 0
n = a[0] + a[1] + a[2] + a[3] + a[4] + a[5] + a[6] + a[7]
for i in plus:
if n == i:
p = 1
for i in minus:
if n == i:
m = 1
if p == 1:
if a[8] == (states - 1):
return a[8]
else:
return a[8] + 1
if m == 0:
if a[8] == 0:
return a[8]
else:
return a[8] - 1
return a[8]
Interesting rules
+4-5-6:3 (+4-5-6c3.tree -> http://tinypaste.com/5bca2 )
This rule shows Life-like behavior. Tends to expand infinitely, but only because of a very common puffer that appears often; without that puffer, it settles down. Has a lot of different still life, oscillators and spaceships. Lines of width 1 act as "walls"
+4-6-7-8-9-10:4 (+4-6-7-8-9-10c4.tree -> http://tinypaste.com/499d8d )
This rule has a lot of different and complex still lifes, yet it stabilizes quickly. It also has a surprisingly slow and complex spaceship that appears from a really simple pattern:
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x = 2, y = 3, rule = +4-6-7-8-9-10c4
C$CA$.C!
Ask me anything!
