import tkinter as tk

#-- constants:
width = 100
heigth = 100
max_iteraties = 30
groot = 1000
upperleft = complex(-1, 1)
downright = complex(1, -1)

#-- extra variables and functions:

xfactor = (downright.real - upperleft.real) / width
yfactor = (downright.imag - upperleft.imag) / heigth

def world(i, j):
    return complex(i * xfactor + upperleft.real, j * yfactor + upperleft.imag)

def screen(z):
    return ( int((z.real-upperleft.real)/xfactor), int((z.imag-upperleft.imag)/yfactor) ) 

#-- main program:
   
root = tk.Tk()

canvas = tk.Canvas(root, width=width, height=heigth)
canvas.pack()

#-- change this, if you like:

z = complex(0.75,0.3)
for i in range(20):
    z2 = z*z
    canvas.create_line(screen(z), screen(z2))
    z = z2


#-- don't touch what's next

usingIDLE = 0
if not usingIDLE:
    root.mainloop()