from gpanel import *

import cmath

def cross(a,b,e=0.04):
    line(0,0,a,b)
    line(a-e,b,a+e,b)
    line(a,b-e,a,b+e)
    

def show(n):
    enableRepaint(False)
    clear()
    # Koordinatensystem
    line(-2,0,2,0)
    line(0,-2,0,2)
    circle(0,0,1)
    # Basis
    z = complex(1.0, math.pi/n)
    x = 1
    # Alle Potenzen davon
    for i in range(1,n):
        x*=z
        cross(x.real, x.imag)
    # Anzeigen
    repaint()   
    
@onMouseMoved
def mouseMoved(x,y):
    show(int((x+2)*(x+2)*20+2));

makeGPanel(-2, 2, -1, 3)