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