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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 math

import turtle

def draw_pie(t, n, r):

"""Draws a pie, then moves into position to the right.

t: Turtle

n: number of segments

r: length of the radial spokes

"""

polypie(t, n, r)

t.pu()

t.fd(r*2 + 10)

t.pd()

def polypie(t, n, r):

"""Draws a pie divided into radial segments.

t: Turtle

n: number of segments

r: length of the radial spokes

"""

angle = 360.0 / n

for i in range(n):

isosceles(t, r, angle/2)

t.lt(angle)

def isosceles(t, r, angle):

"""Draws an icosceles triangle.

The turtle starts and ends at the peak, facing the middle of the base.

t: Turtle

r: length of the equal legs

angle: peak angle in degrees

"""

y = r * math.sin(angle * math.pi / 180)

t.rt(angle)

t.fd(r)

t.lt(90+angle)

t.fd(2*y)

t.lt(90+angle)

t.fd(r)

t.lt(180-angle)

bob = turtle.Turtle()

bob.pu()

bob.bk(130)

bob.pd()

# draw polypies with various number of sides

size = 40

draw_pie(bob, 5, size)

draw_pie(bob, 6, size)

draw_pie(bob, 7, size)

draw_pie(bob, 8, size)

bob.hideturtle()

turtle.mainloop()