#$@%#$%!

Ngiler SH3LL 360
: / usr / lib64 / python2.7 / Demo / turtle /

Information Server
MySQL : OFF Perl : OFF CURL : ON WGET : OFF PKEXEC : OFF

Directive	Local Value
IP Address	162.0.209.101
System	Linux premium169.web-hosting.com 4.18.0-553.50.1.lve.el8.x86_64 #1 SMP Thu Apr 17 19:10:24 UTC 2025 x86_64
User	luxeelil
PHP Version	8.0.30
Software	LiteSpeed
Doc root	Writable

Edit File : tdemo_fractalcurves.py \| Size : 3.33 KB
#! /usr/bin/python2.7 """ turtle-example-suite: tdemo_fractalCurves.py This program draws two fractal-curve-designs: (1) A hilbert curve (in a box) (2) A combination of Koch-curves. The CurvesTurtle class and the fractal-curve- methods are taken from the PythonCard example scripts for turtle-graphics. """ from turtle import * from time import sleep, clock class CurvesTurtle(Pen): # example derived from # Turtle Geometry: The Computer as a Medium for Exploring Mathematics # by Harold Abelson and Andrea diSessa # p. 96-98 def hilbert(self, size, level, parity): if level == 0: return # rotate and draw first subcurve with opposite parity to big curve self.left(parity * 90) self.hilbert(size, level - 1, -parity) # interface to and draw second subcurve with same parity as big curve self.forward(size) self.right(parity * 90) self.hilbert(size, level - 1, parity) # third subcurve self.forward(size) self.hilbert(size, level - 1, parity) # fourth subcurve self.right(parity * 90) self.forward(size) self.hilbert(size, level - 1, -parity) # a final turn is needed to make the turtle # end up facing outward from the large square self.left(parity * 90) # Visual Modeling with Logo: A Structural Approach to Seeing # by James Clayson # Koch curve, after Helge von Koch who introduced this geometric figure in 1904 # p. 146 def fractalgon(self, n, rad, lev, dir): import math # if dir = 1 turn outward # if dir = -1 turn inward edge = 2 * rad * math.sin(math.pi / n) self.pu() self.fd(rad) self.pd() self.rt(180 - (90 * (n - 2) / n)) for i in range(n): self.fractal(edge, lev, dir) self.rt(360 / n) self.lt(180 - (90 * (n - 2) / n)) self.pu() self.bk(rad) self.pd() # p. 146 def fractal(self, dist, depth, dir): if depth < 1: self.fd(dist) return self.fractal(dist / 3, depth - 1, dir) self.lt(60 * dir) self.fractal(dist / 3, depth - 1, dir) self.rt(120 * dir) self.fractal(dist / 3, depth - 1, dir) self.lt(60 * dir) self.fractal(dist / 3, depth - 1, dir) def main(): ft = CurvesTurtle() ft.reset() ft.speed(0) ft.ht() ft.tracer(1,0) ft.pu() size = 6 ft.setpos(-33size, -32size) ft.pd() ta=clock() ft.fillcolor("red") ft.fill(True) ft.fd(size) ft.hilbert(size, 6, 1) # frame ft.fd(size) for i in range(3): ft.lt(90) ft.fd(size(64+i%2)) ft.pu() for i in range(2): ft.fd(size) ft.rt(90) ft.pd() for i in range(4): ft.fd(size(66+i%2)) ft.rt(90) ft.fill(False) tb=clock() res = "Hilbert: %.2fsec. " % (tb-ta) sleep(3) ft.reset() ft.speed(0) ft.ht() ft.tracer(1,0) ta=clock() ft.color("black", "blue") ft.fill(True) ft.fractalgon(3, 250, 4, 1) ft.fill(True) ft.color("red") ft.fractalgon(3, 200, 4, -1) ft.fill(False) tb=clock() res += "Koch: %.2fsec." % (tb-ta) return res if __name__ == '__main__': msg = main() print msg mainloop() Back

Edit File : tdemo_fractalcurves.py | Size : 3.33 KB

#! /usr/bin/python2.7
"""      turtle-example-suite:

tdemo_fractalCurves.py

This program draws two fractal-curve-designs:
(1) A hilbert curve (in a box)
(2) A combination of Koch-curves.

The CurvesTurtle class and the fractal-curve-
methods are taken from the PythonCard example
scripts for turtle-graphics.
"""
from turtle import *
from time import sleep, clock

class CurvesTurtle(Pen):
    # example derived from
    # Turtle Geometry: The Computer as a Medium for Exploring Mathematics
    # by Harold Abelson and Andrea diSessa
    # p. 96-98
    def hilbert(self, size, level, parity):
        if level == 0:
            return
        # rotate and draw first subcurve with opposite parity to big curve
        self.left(parity * 90)
        self.hilbert(size, level - 1, -parity)
        # interface to and draw second subcurve with same parity as big curve
        self.forward(size)
        self.right(parity * 90)
        self.hilbert(size, level - 1, parity)
        # third subcurve
        self.forward(size)
        self.hilbert(size, level - 1, parity)
        # fourth subcurve
        self.right(parity * 90)
        self.forward(size)
        self.hilbert(size, level - 1, -parity)
        # a final turn is needed to make the turtle
        # end up facing outward from the large square
        self.left(parity * 90)

# Visual Modeling with Logo: A Structural Approach to Seeing
    # by James Clayson
    # Koch curve, after Helge von Koch who introduced this geometric figure in 1904
    # p. 146
    def fractalgon(self, n, rad, lev, dir):
        import math

# if dir = 1 turn outward
        # if dir = -1 turn inward
        edge = 2 * rad * math.sin(math.pi / n)
        self.pu()
        self.fd(rad)
        self.pd()
        self.rt(180 - (90 * (n - 2) / n))
        for i in range(n):
            self.fractal(edge, lev, dir)
            self.rt(360 / n)
        self.lt(180 - (90 * (n - 2) / n))
        self.pu()
        self.bk(rad)
        self.pd()

# p. 146
    def fractal(self, dist, depth, dir):
        if depth < 1:
            self.fd(dist)
            return
        self.fractal(dist / 3, depth - 1, dir)
        self.lt(60 * dir)
        self.fractal(dist / 3, depth - 1, dir)
        self.rt(120 * dir)
        self.fractal(dist / 3, depth - 1, dir)
        self.lt(60 * dir)
        self.fractal(dist / 3, depth - 1, dir)

def main():
    ft = CurvesTurtle()

ft.reset()
    ft.speed(0)
    ft.ht()
    ft.tracer(1,0)
    ft.pu()

size = 6
    ft.setpos(-33*size, -32*size)
    ft.pd()

ta=clock()
    ft.fillcolor("red")
    ft.fill(True)
    ft.fd(size)

ft.hilbert(size, 6, 1)

# frame
    ft.fd(size)
    for i in range(3):
        ft.lt(90)
        ft.fd(size*(64+i%2))
    ft.pu()
    for i in range(2):
        ft.fd(size)
        ft.rt(90)
    ft.pd()
    for i in range(4):
        ft.fd(size*(66+i%2))
        ft.rt(90)
    ft.fill(False)
    tb=clock()
    res =  "Hilbert: %.2fsec. " % (tb-ta)

sleep(3)

ft.reset()
    ft.speed(0)
    ft.ht()
    ft.tracer(1,0)

ta=clock()
    ft.color("black", "blue")
    ft.fill(True)
    ft.fractalgon(3, 250, 4, 1)
    ft.fill(True)
    ft.color("red")
    ft.fractalgon(3, 200, 4, -1)
    ft.fill(False)
    tb=clock()
    res +=  "Koch: %.2fsec." % (tb-ta)
    return res

if __name__  == '__main__':
    msg = main()
    print msg
    mainloop()

Back