36 lines
1.1 KiB
Python
Executable File
36 lines
1.1 KiB
Python
Executable File
import math
|
|
import sys
|
|
import os
|
|
sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
|
|
import Program
|
|
import Command
|
|
|
|
C = math.sqrt(3)
|
|
|
|
def koch( x, y, smin=1, nmax=None ):
|
|
r=min(x,y)
|
|
pts, tmp = [ ( x, y + r ),
|
|
( x - C * r / 2, y - r / 2 ),
|
|
( x + C * r / 2, y - r / 2 ) ], []
|
|
s, n = 3 * r / C, 0
|
|
while s > smin and ( nmax is None or n < nmax ):
|
|
for i in range( len( pts ) ):
|
|
( x1, y1 ), ( x5, y5 ) = pts[ i - 1 ], pts[ i ]
|
|
dx, dy = ( x5 - x1 ) / 3, ( y5 - y1 ) / 3
|
|
tmp += [ ( x1 + dx, y1 + dy ),
|
|
( ( x1 + x5 + C * dy ) / 2, ( y1 + y5 - C * dx ) / 2 ),
|
|
( x5 - dx, y5 - dy ),
|
|
( x5, y5 ) ]
|
|
pts, tmp = tmp, []
|
|
s /= 4
|
|
n += 1
|
|
print 'Laenge'+ str(s) + 'Iterationen' + str(n)
|
|
return pts
|
|
|
|
def koche(plt):
|
|
list=koch(plt.center[0],plt.center[1],smin=1,nmax=5)
|
|
print list[-1]
|
|
return Program([Command('IN'),Command('SP1'),Command('PU',*list[-1])]\
|
|
+[Command('PD',*p) for p in list]\
|
|
+[Command('PU')])
|