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77 lines
2.2 KiB
Python
77 lines
2.2 KiB
Python
#!/usr/bin/python
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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
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the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set
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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
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examples of self-similar sets, i.e., it is a mathematically generated pattern that can
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be reproducible at any magnification or reduction. It is named after the Polish
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mathematician Wacław Sierpinski, but appeared as a decorative pattern many centuries
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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
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http://www.riannetrujillo.com/blog/python-fractal/
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"""
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import sys
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import turtle
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PROGNAME = "Sierpinski Triangle"
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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(
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[points[0], getMid(points[0], points[1]), getMid(points[0], points[2])],
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depth - 1,
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)
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triangle(
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[points[1], getMid(points[0], points[1]), getMid(points[1], points[2])],
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depth - 1,
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)
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triangle(
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[points[2], getMid(points[2], points[1]), getMid(points[0], points[2])],
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depth - 1,
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)
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if __name__ == "__main__":
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if len(sys.argv) != 2:
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raise ValueError(
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"right format for using this script: "
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"$python fractals.py <int:depth_for_fractal>"
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)
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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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triangle(points, int(sys.argv[1]))
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