wxKoch draws a Koch snowflake fractal. It is based on C++ code written by Martin Bernreuther and included in the wxWindows tutorial.
Python, 169 lines
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"""
wxKoch.py for wxPython/wxWindows 2
by Simon Foster, November 2001
based on wxKoch0.cpp
by Martin Bernreuther, Jan 2000
"""
from time import time
import math
import cPickle
import zlib
from wxPython.wx import *
[ ID_Quit, ID_About, ID_InpLevel ] = range(3)
ABOUT_TEXT = """\
Koch Snowflake for wxPython
by S. Foster, November 2001"""
PYTHON = """\
\x78\xDA\xAD\x94\x31\x6E\xC3\x30\x0C\x45\xF7\x9C\x82\x40\x07\x17\
\x20\xF0\xE1\xB4\x43\x33\x0A\x1D\x3C\xC6\x43\x16\xAE\x41\xD0\xA9\
\x41\xDD\xFB\x4F\xA5\x48\xC9\x96\x2C\xA5\x5D\x4A\x30\x76\xBE\xF5\
\x42\x52\xA4\x9C\xE7\xFB\xF7\xF1\x70\x19\x5E\x5F\x48\xFD\x8D\x8E\
\xC3\xE1\x7A\x19\x40\x37\x7A\xBF\x5F\x6F\x9F\xA6\x66\x55\x4F\xA3\
\xDA\x34\x99\x66\xD7\xD3\x34\x8E\xA6\x25\xEA\xD3\x78\x1A\x93\x0E\
\x51\xC7\xD5\xA4\x49\xF5\x79\xF9\xFA\x30\xB1\xF8\xE2\xFA\x63\x72\
\x03\xD4\x41\xAD\x15\x10\x44\xD4\x05\xBF\x41\x70\xEB\x51\x05\xB4\
\x2C\xEA\x0B\xFE\x80\x66\xF5\xF9\x5F\xA0\x9C\x0E\x0F\x21\x2B\xDA\
\x0A\x8F\x57\xF4\x20\x5B\xCC\xE6\x60\x03\x95\x88\x08\x9B\xC4\x0E\
\x2A\x19\x16\xE6\x3D\x95\xA0\xD4\x6D\x47\x1E\x41\x5B\x14\x20\x43\
\x1B\xE5\x10\xB3\x70\x4A\x04\xBD\xE9\xA7\x0B\xB9\xC5\x16\xE8\x55\
\xBF\xB5\x10\xC1\x23\xC1\xE3\x20\x26\x6E\xA1\xD8\xCA\x10\x52\x1C\
\x7A\x10\x89\x9C\xB1\xA2\xE2\xC1\xE2\xCE\xEE\xF4\x79\x08\xA9\x6E\
\x8A\x81\xA4\x0B\x29\x93\x91\x54\x50\xD3\x71\xB2\x7A\x6C\x5C\xB9\
\x1E\x69\x66\x17\x28\xAC\xC7\xBC\xC3\x20\xA7\xF3\xD3\x92\xC3\xD4\
\x0C\xEA\xB7\x45\x32\x93\x72\x7B\x91\x15\xB4\xC5\xF1\x60\x7E\xAE\
\xA4\x84\x6C\x36\x1B\xB3\xDE\x6A\x68\xCB\x56\x1B\xA8\x17\xA9\x58\
\x87\x8D\x60\x07\x71\x3A\x57\xEB\x1E\x6D\x03\xFB\xDD\x79\xE3\x39\
\xF7\xBF\xF9\xC3\xF0\xED\xF9\x6C\xEA\xB7\xAA\x84\xF6\x6B\x25\x84\
\x1F\x03\x50\x09\xE6"""
root3 = math.sqrt ( 3. )
def getIconData():
return cPickle.loads( zlib.decompress( PYTHON ))
class wxKochFrame( wxFrame ):
def __init__( self, title, pos, size ):
wxFrame.__init__( self, None, -1,
title, pos = pos, size = size )
icon = wxIconFromXPMData( getIconData() )
self.SetIcon( icon )
self.menuBar = wxMenuBar()
self.menuFile = wxMenu()
self.menuFile.Append( ID_InpLevel, "Input &Level...\tCtrl-D" )
self.menuFile.AppendSeparator()
self.menuFile.Append( ID_Quit, "E&xit...\tCtrl-X" )
self.menuBar.Append( self.menuFile, "&File" ) ;
self.menuHelp = wxMenu()
self.menuHelp.Append( ID_About, "&About..." )
self.menuBar.Append( self.menuHelp, "&Help" )
self.SetMenuBar( self.menuBar )
EVT_MENU( self, ID_Quit, self.OnQuit )
EVT_MENU( self, ID_About, self.OnAbout )
EVT_MENU( self, ID_InpLevel, self.OnInpLevel )
EVT_SIZE( self, self.OnSize )
EVT_PAINT( self, self.OnPaint )
self.level = -1
self.mdc = None
self.CreateStatusBar()
self.SetStatusText( 'Enter Level' )
def OnQuit ( self, event ):
self.Close( true )
def OnAbout( self, event ):
wxMessageBox ( __doc__,
"About wxKoch", wxOK|wxICON_INFORMATION, self )
def OnInpLevel( self, event ):
self.level = wxGetNumberFromUser( "", "Level: ", "Input Level",
4, 0, 10, self )
if self.level == -1:
msg = "Invalid number entered or dialog cancelled."
self.SetStatusText( msg )
else:
self.mdc = None
self.Refresh()
def OnSize( self, event ):
self.mdc = None
self.Refresh()
def DrawEdge ( self, dc, n, x1, y1, x2, y2 ):
if n > 0 :
x3 = 2. * x1/3. + x2/3.
y3 = 2. * y1/3. + y2/3.
self.DrawEdge( dc, n-1, x1, y1, x3, y3 )
x4 = x1/3. + 2. * x2/3.
y4 = y1/3. + 2. * y2/3.
x5 = .5 * ( x1+x2 ) - ( y2-y1 ) * root3 / 6.
y5 = .5 * ( y1+y2 ) + ( x2-x1 ) * root3 / 6.
self.DrawEdge( dc, n-1, x3, y3, x5, y5 )
self.DrawEdge( dc, n-1, x5, y5, x4, y4 )
self.DrawEdge( dc, n-1, x4, y4, x2, y2 )
else:
dc.DrawLine( x1, y1, x2, y2 )
def OnPaint( self, event ):
print '.',
pdc = wxPaintDC( self )
if self.level != -1:
msg = ''
start = time()
width, height = self.GetClientSize()
if not self.mdc:
msg = 'Draw:'
n = self.level
d = height
if width < height: d = width
y1 = .5 * height + .25 * d
y3 = .5 * height - .5 * d
x1 = .5 * width - .25 * d * root3
x2 = .5 * width + .25 * d * root3
x3 = .5 * width
self.mdc = wxMemoryDC()
self.mdc.SelectObject( wxEmptyBitmap( width, height ))
self.mdc.Clear()
self.mdc.SetPen( wxPen( wxNamedColour( 'CADET BLUE' ), 1, wxSOLID ))
self.mdc.BeginDrawing()
self.DrawEdge( self.mdc, n, x1, y1, x2, y1 )
self.DrawEdge( self.mdc, n, x2, y1, x3, y3 )
self.DrawEdge( self.mdc, n, x3, y3, x1, y1 )
self.mdc.EndDrawing()
pdc.Blit( 0, 0, width, height, self.mdc, 0, 0 )
msg += 'level %s in %s seconds' % ( self.level, time() - start )
self.SetStatusText( msg )
class wxKochApp( wxApp ):
def OnInit( self ):
self.pframe = wxKochFrame(
"Koch Snowflake for wxPython",
wxPoint( 50, 50 ),
wxSize( 200, 200 ))
self.pframe.Show( true )
self.SetTopWindow( self.pframe )
return true
app = wxKochApp(0)
app.MainLoop()
|
Requires wxPython. Tested on Win32 using Python 2.2 but should be portable. Any feedback on other platforms would be appreciated.
PythonCard contains a turtle graphics sample app. PythonCard http://pythoncard.sourceforge.net/ contains a turtle graphics sample app which include Koch curves and many other standard fractal patterns. You can program one or more turtles interactively or write standalone scripts. There are some sample shots of the turtles in action at http://pythoncard.sourceforge.net/samples3.html