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#!/usr/bin/python
# encoding=utf8
"""Author Anurag Kumar | anuragkumarak95@gmail.com | git/anuragkumarak95
Simple example of Fractal generation using recursive function.
What is Sierpinski Triangle?
>>The Sierpinski triangle (also with the original orthography Sierpinski), also called the Sierpinski gasket or the Sierpinski Sieve,
is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller
equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e.,
it is a mathematically generated pattern that can be reproducible at any magnification or reduction. It is named after
the Polish mathematician Wacław Sierpinski, but appeared as a decorative pattern many centuries prior to the work of Sierpinski.
Requirements(pip):
- turtle
Python:
- 2.6
Usage:
- $python sierpinski_triangle.py <int:depth_for_fractal>
Credits: This code was written by editing the code from http://www.riannetrujillo.com/blog/python-fractal/
"""
import turtle
import sys
PROGNAME = "Sierpinski Triangle"
points = [[-175, -125], [0, 175], [175, -125]] # size of triangle
def getMid(p1, p2):
return ((p1[0] + p2[0]) / 2, (p1[1] + p2[1]) / 2) # find midpoint
def triangle(points, depth):
myPen.up()
myPen.goto(points[0][0], points[0][1])
myPen.down()
myPen.goto(points[1][0], points[1][1])
myPen.goto(points[2][0], points[2][1])
myPen.goto(points[0][0], points[0][1])
if depth > 0:
triangle(
[points[0], getMid(points[0], points[1]), getMid(points[0], points[2])],
depth - 1,
)
triangle(
[points[1], getMid(points[0], points[1]), getMid(points[1], points[2])],
depth - 1,
)
triangle(
[points[2], getMid(points[2], points[1]), getMid(points[0], points[2])],
depth - 1,
)
if __name__ == "__main__":
if len(sys.argv) != 2:
raise ValueError(
"right format for using this script: "
"$python fractals.py <int:depth_for_fractal>"
)
myPen = turtle.Turtle()
myPen.ht()
myPen.speed(5)
myPen.pencolor("red")
triangle(points, int(sys.argv[1]))