Created
August 18, 2021 13:13
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Python L-System
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import turtle | |
import random | |
class LSystem: | |
def __init__(self, start, theta, depth): | |
self.start = start | |
self.theta = theta | |
self.depth = depth | |
self.rules = {} | |
def add_rule(self, symbol, string, prob): | |
right = (string, prob) | |
self.rules[symbol] = right | |
def draw(self): | |
draw_string = self.get_string() | |
screen = turtle.getscreen() | |
screen.screensize(2000, 2000) | |
turtle.speed(0) | |
turtle.left(90) | |
stack = [] | |
for char in draw_string: | |
if char == "[": | |
pos = turtle.pos() | |
angle = turtle.heading() | |
stack.append((pos, angle)) | |
elif char == "]": | |
state = stack.pop() | |
new_pos = state[0] | |
new_angle = state[1] | |
turtle.penup() | |
turtle.goto(new_pos[0], new_pos[1]) | |
turtle.setheading(new_angle) | |
turtle.pendown() | |
elif char == "F": | |
turtle.forward(10) | |
elif char == "-": | |
turtle.right(self.theta) | |
elif char == "+": | |
turtle.left(self.theta) | |
turtle.done() | |
def get_string(self): | |
start = self.start | |
for i in range(self.depth): | |
fin = "" | |
num = random.random() | |
for char in start: | |
if char in self.rules and self.rules[char][1] >= num: | |
fin += self.rules[char][0] | |
else: | |
fin += char | |
start = fin | |
return fin | |
#Draw a hilbert curve | |
system = LSystem("A", 90, 4) | |
system.add_rule("A", "-BF+AFA+FB-", 1) | |
system.add_rule("B", "+AF-BFB-FA+", 1) | |
system.draw() |
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