from Tkinter import *
from random import *
root = Tk()

def drawcircle(canv,x,y,radius,color):
    canv.create_oval(x-radius,y-radius,x+radius,y+radius,width=0,fill=color)

canvas = Canvas(width=1000, height=600, bg='black')
canvas.pack(expand=YES, fill=BOTH)
text = canvas.create_text(50,10, text="Chaos Test")

for runs in range(5): # try to use different values
    r=2.0
    plotx=0
    tmp = 0
    
    while (r < 4.0):
        x = 0.12 #0.42 originally, 0.12 has more "chaos"

        for i in range(randint(20,40)):
            x = r*x*(1-x)
            
        if x < tmp:
            canvas.create_line(plotx, x*600, plotx, x*600-25, fill='blue', width=1)
            drawcircle(canvas, plotx, x*600, 1, 'white')
        else:
            canvas.create_line(plotx, x*600, plotx, x*600+25, fill='red', width=1)
            drawcircle(canvas, plotx, x*600, 1, 'white')
            
        tmp = x
        plotx=plotx+1
        r=r+0.002
        
root.mainloop()