Staging
v0.8.1
v0.8.1
https://github.com/python/cpython
Tip revision: 2e789a1f1d84b343a996e8654590703b5fbdd441 authored by Larry Hastings on 12 September 2015, 16:36:44 UTC
Final touch-ups for the What's New In Python 3.5 document.
Final touch-ups for the What's New In Python 3.5 document.
Tip revision: 2e789a1
penrose.py
#!/usr/bin/env python3
""" 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()