from PIL import Image

def mandelbrot (c, max_iter):
    z = 0
    for n in range(max_iter):
        if abs(z) > 2:
            return n  # Wie schnell ist der Punkt entflohen?
        z = z*z + c
    return max_iter

width = 800
height = 600
img = Image.new('RGB', (width, height))

# die komplexe Ebene definieren
x_min, x_max = -2 , 1
y_min, y_max = -1.5, 1.5

for x in range(width):
    for y in range(height):
        real = x_min + (x / width) * (x_max - x_min)
        imag = y_min + (y / height) * (y_max - y_min)
        c = complex(real, imag)
        print ("x-> ", x, " y-> ",  y, " -> ",c)