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koch.py
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#!/usr/bin/env python3
# Copyright (c) 2014-2015, Stephen Warren
#
# Permission is hereby granted, free of charge, to any person obtaining a
# copy of this software and associated documentation files (the "Software"),
# to deal in the Software without restriction, including without limitation
# the rights to use, copy, modify, merge, publish, distribute, sublicense,
# and/or sell copies of the Software, and to permit persons to whom the
# Software is furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in
# all copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
# THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
# FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
# DEALINGS IN THE SOFTWARE.
import wdoturtle
t = wdoturtle.Turtle()
min_l = 20
levels = 4
def koch(l, tsign):
if l <= min_l:
t.forward(l)
return
koch(l / 3, tsign * 1)
if tsign > 0:
t.right(90)
else:
t.left(90)
koch(l / 3, tsign * -1)
if tsign > 0:
t.left(90)
else:
t.right(90)
koch(l / 3, tsign * 1)
if tsign > 0:
t.left(90)
else:
t.right(90)
koch(l / 3, tsign * -1)
if tsign > 0:
t.right(90)
else:
t.left(90)
koch(l / 3, tsign * 1)
koch(min_l * (3 ** levels), 1)