Staging
v0.5.1
v0.5.1
https://github.com/python/cpython
Tip revision: 311101f7b6d71d634382cdd943ef3dfcb402aa93 authored by Ned Deily on 26 September 2018, 06:35:30 UTC
3.6.7rc1
3.6.7rc1
Tip revision: 311101f
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()
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()