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about_turtle.txt
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about_turtledemo.txt
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demohelp.txt
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tdemo_I_dontlike_tiltdemo.py
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tdemo_I_dontlike_tiltdemo.pyc
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tdemo_I_dontlike_tiltdemo.pyo
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tdemo_bytedesign.py
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tdemo_bytedesign.pyc
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tdemo_bytedesign.pyo
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tdemo_chaos.py
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tdemo_chaos.pyc
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tdemo_chaos.pyo
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tdemo_clock.py
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tdemo_clock.pyc
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tdemo_clock.pyo
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tdemo_colormixer.py
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tdemo_colormixer.pyc
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tdemo_colormixer.pyo
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tdemo_fractalcurves.py
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tdemo_fractalcurves.pyc
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tdemo_fractalcurves.pyo
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tdemo_lindenmayer_indian.py
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tdemo_lindenmayer_indian.pyc
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tdemo_lindenmayer_indian.pyo
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tdemo_minimal_hanoi.py
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tdemo_minimal_hanoi.pyc
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tdemo_minimal_hanoi.pyo
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tdemo_nim.py
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tdemo_nim.pyc
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tdemo_nim.pyo
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tdemo_paint.py
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tdemo_paint.pyc
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tdemo_paint.pyo
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tdemo_peace.py
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tdemo_penrose.py
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tdemo_penrose.pyc
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tdemo_penrose.pyo
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tdemo_planet_and_moon.py
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tdemo_planet_and_moon.pyc
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tdemo_planet_and_moon.pyo
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tdemo_tree.py
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tdemo_tree.pyc
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tdemo_tree.pyo
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tdemo_two_canvases.py
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tdemo_two_canvases.pyc
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tdemo_two_canvases.pyo
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tdemo_wikipedia.py
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tdemo_wikipedia.pyc
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tdemo_wikipedia.pyo
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tdemo_yinyang.py
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tdemo_yinyang.pyc
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turtle.cfg
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turtleDemo.py
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turtleDemo.pyc
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turtleDemo.pyo
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#! /usr/bin/python2.7 """ xturtle-example-suite: xtx_kites_and_darts.py Constructs two aperiodic penrose-tilings, consisting of kites and darts, by the method of inflation in six steps. Starting points are the patterns "sun" consisting of five kites and "star" consisting of five darts. For more information see: http://en.wikipedia.org/wiki/Penrose_tiling ------------------------------------------- """ from turtle import * from math import cos, pi from time import clock, sleep f = (5**0.5-1)/2.0 # (sqrt(5)-1)/2 -- golden ratio d = 2 * cos(3*pi/10) def kite(l): fl = f * l lt(36) fd(l) rt(108) fd(fl) rt(36) fd(fl) rt(108) fd(l) rt(144) def dart(l): fl = f * l lt(36) fd(l) rt(144) fd(fl) lt(36) fd(fl) rt(144) fd(l) rt(144) def inflatekite(l, n): if n == 0: px, py = pos() h, x, y = int(heading()), round(px,3), round(py,3) tiledict[(h,x,y)] = True return fl = f * l lt(36) inflatedart(fl, n-1) fd(l) rt(144) inflatekite(fl, n-1) lt(18) fd(l*d) rt(162) inflatekite(fl, n-1) lt(36) fd(l) rt(180) inflatedart(fl, n-1) lt(36) def inflatedart(l, n): if n == 0: px, py = pos() h, x, y = int(heading()), round(px,3), round(py,3) tiledict[(h,x,y)] = False return fl = f * l inflatekite(fl, n-1) lt(36) fd(l) rt(180) inflatedart(fl, n-1) lt(54) fd(l*d) rt(126) inflatedart(fl, n-1) fd(l) rt(144) def draw(l, n, th=2): clear() l = l * f**n shapesize(l/100.0, l/100.0, th) for k in tiledict: h, x, y = k setpos(x, y) setheading(h) if tiledict[k]: shape("kite") color("black", (0, 0.75, 0)) else: shape("dart") color("black", (0.75, 0, 0)) stamp() def sun(l, n): for i in range(5): inflatekite(l, n) lt(72) def star(l,n): for i in range(5): inflatedart(l, n) lt(72) def makeshapes(): tracer(0) begin_poly() kite(100) end_poly() register_shape("kite", get_poly()) begin_poly() dart(100) end_poly() register_shape("dart", get_poly()) tracer(1) def start(): reset() ht() pu() makeshapes() resizemode("user") def test(l=200, n=4, fun=sun, startpos=(0,0), th=2): global tiledict goto(startpos) setheading(0) tiledict = {} a = clock() tracer(0) fun(l, n) b = clock() draw(l, n, th) tracer(1) c = clock() print "Calculation: %7.4f s" % (b - a) print "Drawing: %7.4f s" % (c - b) print "Together: %7.4f s" % (c - a) nk = len([x for x in tiledict if tiledict[x]]) nd = len([x for x in tiledict if not tiledict[x]]) print "%d kites and %d darts = %d pieces." % (nk, nd, nk+nd) def demo(fun=sun): start() for i in range(8): a = clock() test(300, i, fun) b = clock() t = b - a if t < 2: sleep(2 - t) def main(): #title("Penrose-tiling with kites and darts.") mode("logo") bgcolor(0.3, 0.3, 0) demo(sun) sleep(2) demo(star) pencolor("black") goto(0,-200) pencolor(0.7,0.7,1) write("Please wait...", align="center", font=('Arial Black', 36, 'bold')) test(600, 8, startpos=(70, 117)) return "Done" if __name__ == "__main__": msg = main() mainloop()