A class to expand strings with L-System production rules and render them with Turtle.
from lsystem import LSystem
from renderer import render_pattern
import turtle
koch_omega = "F"
koch_expansion_rules = {
"F": "F+F-F-F+F",
"+": "+",
"-": "-"
}
koch = LSystem(koch_omega, koch_expansion_rules)
pattern = koch.expand(times=3)
koch_instructions = {
"F": lambda: turtle.forward(10),
"+": lambda: turtle.left(90),
"-": lambda: turtle.right(90),
}
render_pattern(pattern, koch_instructions, line_thickness=2)
- omega: the axiom
- expansion_rules: the set of expansion rules
- expand(times): generate the pattern after the specified number of iterations
Usage example
dragon_curve_omega = "F"
dragon_curve_expansion_rules = {
"F": "F+G",
"G": "F-G",
"+": "+",
"-": "-"
}
dragon_curve = LSystem(dragon_curve_omega, dragon_curve_expansion_rules)
dragon_curve_pattern = dragon_curve.expand(times=10)
dragon_curve_instructions = {
"F": lambda: turtle.forward(10),
"G": lambda: turtle.forward(10),
"+": lambda: turtle.left(90),
"-": lambda: turtle.right(90),
}
render_pattern(dragon_curve_pattern, dragon_curve_instructions, line_thickness=2)
References