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rule110.py

yiorgos Feb 17th, 2019 99 Never
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  1. # Let's have some fun with Rule 110:
  2. # https://en.wikipedia.org/wiki/Rule_110
  3.  
  4. import turtle
  5. import random
  6.  
  7. # enumerate next state for Rule 110
  8. ca_rule = [0, 1, 1, 1, 0, 1, 1, 0]
  9.  
  10. # Note we can use the same encoding trick for all 1D CAs.
  11. # For example, for Rule 54 we can have:
  12. # ca_rule = [0, 1, 1, 0, 1, 1, 0, 0]
  13.  
  14. def next_state(state):
  15.   n = []
  16.   j = len(state)
  17.   for i in range(j):
  18.     # Let's assume that the two edges of the list are connected
  19.     left = i - 1
  20.     right = i + 1 if i < j - 1 else 0
  21.     n.append(ca_rule[4 * state[left] + 2 * state[i] + state[right]])
  22.  
  23.   return n
  24.  
  25. game_len = 120
  26. x_pos = -100
  27. y_pos = 200
  28.  
  29. window = turtle.Screen()
  30. window.bgcolor('light gray')
  31.  
  32. pen = turtle.Turtle()
  33. pen.speed(20)
  34. pen.color('dark blue')
  35. pen.pensize(2)
  36. pen.shape('classic')
  37.  
  38. # create a random starting state
  39. curr_state = [ random.choice([1, 0]) for x in range(game_len) ]
  40.  
  41. for g in range(game_len):
  42.   pen.penup()
  43.   pen.setx(x_pos)
  44.   pen.sety(y_pos)
  45.   for c in curr_state:
  46.     if c == 1:
  47.       pen.pendown()
  48.     else:
  49.       pen.penup()
  50.  
  51.     pen.forward(3)
  52.  
  53.   curr_state = next_state(curr_state)
  54.   y_pos -= 3
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