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"""This module contains a code example related to

Think Python, 2nd Edition

by Allen Downey

http://thinkpython2.com

Copyright 2015 Allen Downey

License: http://creativecommons.org/licenses/by/4.0/

"""

from __future__ import print_function, division

import turtle

def draw_spiral(t, n, length=3, a=0.1, b=0.0002):

"""Draws an Archimedian spiral starting at the origin.

Args:

n: how many line segments to draw

length: how long each segment is

a: how loose the initial spiral starts out (larger is looser)

b: how loosly coiled the spiral is (larger is looser)

http://en.wikipedia.org/wiki/Spiral

"""

theta = 0.0

for i in range(n):

t.fd(length)

dtheta = 1 / (a + b * theta)

t.lt(dtheta)

theta += dtheta

# create the world and bob

bob = turtle.Turtle()

draw_spiral(bob, n=1000)

turtle.mainloop()