Spiral of Spirals Fractal with Python Turtle (Source Code)

Draw the following spiral that consists of spirals. Check out this project (spiral of squares) first before working on this one.

Source Code: (This program may runs for minutes)

import turtle

screen = turtle.Screen()
screen.title('Spiral of Spirals Fractal - PythonTurtle.Academy')
screen.setup(1000,1000)
screen.setworldcoordinates(-1000,-1000,1000,1000)
turtle.speed(0)
turtle.hideturtle()
screen.tracer(0,0)

def draw_spiral(x,y,length,direction):
    L = length
    for _ in range(50):
        if length>5:
            draw_spiral(x,y,length*0.27,direction-30)
        turtle.up()
        turtle.seth(direction)
        turtle.goto(x,y)
        if length <= 5: turtle.down()
        turtle.fd(length)
        x,y = turtle.xcor(), turtle.ycor()
        length *= 0.93
        direction += 20

draw_spiral(-800,700,400,-90)
screen.update()
ts=turtle.getscreen()
ts.getcanvas().postscript(file = "spiral.eps")