Staging
v0.5.1
v0.5.1
https://github.com/python/cpython
Tip revision: b5d174037fab4889c1404ebab19b85cbe9aa452e authored by Barry Warsaw on 19 June 2008, 01:48:07 UTC
Bumping to 2.6b1
Bumping to 2.6b1
Tip revision: b5d1740
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()