mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-10-06 13:49:30 +00:00
30a3582983
http://www.lpb-riannetrujillo.com/blog/python-fractal/ moved to http://www.riannetrujillo.com/blog/python-fractal/
68 lines
2.2 KiB
Python
68 lines
2.2 KiB
Python
#!/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'
|
|
if len(sys.argv) !=2:
|
|
raise Exception('right format for using this script: $python fractals.py <int:depth_for_fractal>')
|
|
|
|
myPen = turtle.Turtle()
|
|
myPen.ht()
|
|
myPen.speed(5)
|
|
myPen.pencolor('red')
|
|
|
|
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)
|
|
|
|
|
|
triangle(points,int(sys.argv[1]))
|