wiskundekunst

import turtle
import math

def fractal(aturt, depth, maxdepth):
   if depth > maxdepth:
     return
   length = 180*((math.sqrt(2)/2)**depth)
   anotherturt = aturt.clone()
   aturt.forward(length)
   aturt.left(45)
   fractal(aturt, depth+1, maxdepth)
   anotherturt.right(90)
   anotherturt.forward(length)
   anotherturt.left(90)
   anotherturt.forward(length)
   if depth != maxdepth:
     turt3 = anotherturt.clone()
     turt3.left(45)
     turt3.forward(180*((math.sqrt(2)/2)**(1+depth)))
     turt3.right(90)
     fractal(turt3, depth+1, maxdepth)
   anotherturt.left(90)
   anotherturt.forward(length)

def draw_fractal():
   window = turtle.Screen()
   turt = turtle.Turtle()
   turt.hideturtle()
   turt.penup()
   turt.goto(-75, -225)
   turt.pendown()
   turt.speed(0)
   turt.left(90)
   #change the second argument to get a bigger tree!
   fractal(turt, 1, 2)
   window.exitonclick()

draw_fractal()