Pythagoras Tree Fractal in Python

The mods over at r/dailyprogrammer have been releasing new problems every week pretty consistently for the last month, providing a nice stream of challenges to work on. The challenge posted yesterday was constructing a fractal in ASCII text. I decided I wanted to make a Pythagoras tree fractal, but found it wasn't really feasible to make one using a 2D array of ASCII characters so I decided to animate a fractal using the turtle package in Python. If you don't know what the turtle package is, I didn't either until I took Udacity's programming foundations with python. It is a simple line drawing library that can do some neat things--like drawing fractals--using recursion.

Here's the code I used to draw the Pythagoras tree to 12 levels of depth:

 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)  
   fractal(turt, 1, 12)  
   window.exitonclick()  


 draw_fractal()  

And the result!