Staging
v0.5.1
v0.5.1
https://github.com/python/cpython
Tip revision: 9bf51fefd011de3a439b7553e65a759c4469285d authored by Barry Warsaw on 01 October 2013, 00:37:45 UTC
Bump copyright years.
Bump copyright years.
Tip revision: 9bf51fe
tdemo_penrose.py
#!/usr/bin/python
""" 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()