initial commit

koche.py

@@ -0,0 +1,30 @@
+import math 
+
+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')])