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Name	Size	Permission
__init__.py	314 B	-rw-r--r--
__main__.py	14.93 KB	-rwxr-xr-x
bytedesign.py	4.15 KB	-rwxr-xr-x
chaos.py	951 B	-rw-r--r--
clock.py	3.11 KB	-rwxr-xr-x
colormixer.py	1.31 KB	-rw-r--r--
forest.py	2.9 KB	-rwxr-xr-x
fractalcurves.py	3.39 KB	-rwxr-xr-x
lindenmayer.py	2.38 KB	-rwxr-xr-x
minimal_hanoi.py	2 KB	-rwxr-xr-x
nim.py	6.36 KB	-rw-r--r--
paint.py	1.26 KB	-rwxr-xr-x
peace.py	1.04 KB	-rwxr-xr-x
penrose.py	3.3 KB	-rwxr-xr-x
planet_and_moon.py	2.76 KB	-rwxr-xr-x
rosette.py	1.33 KB	-rw-r--r--
round_dance.py	1.76 KB	-rw-r--r--
sorting_animate.py	4.93 KB	-rwxr-xr-x
tree.py	1.37 KB	-rwxr-xr-x
turtle.cfg	160 B	-rw-r--r--
two_canvases.py	1.09 KB	-rw-r--r--
yinyang.py	821 B	-rwxr-xr-x

Code Editor : fractalcurves.py

#!/usr/bin/env python3
"""      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, perf_counter as 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.getscreen().tracer(1,0)
    ft.pu()

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

ta=clock()
    ft.fillcolor("red")
    ft.begin_fill()
    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.end_fill()
    tb=clock()
    res =  "Hilbert: %.2fsec. " % (tb-ta)

sleep(3)

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

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

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

${this.title}

Code Editor : fractalcurves.py