def mandelbrot(c, maxIter):
	iter = 0
	z = c
	while iter < maxIter:
		z = z*z + c
		if abs(z) > 2: return iter
		iter = iter + 1
	return -1


import Image
width = 1200
height = 1200
img = Image.new('RGB',(width,height))

colormap = []
for i in range(0,64):
	colormap.append((i*4,i*4,0))
for i in range(0,64):
	colormap.append((i*4,0,0))
for i in range(0,64):
	colormap.append((0,i*4,0))
for i in range(0,64):
	colormap.append((0,0,i*4))

center = (-0.75, 0.25)
size = 0.125

for i in range(0,width):
	x = (i/(width-1.0)*size) - size/2.0 + center[0]
	for j in range(0,height):
		y = (j/(height-1.0)*size) - size/2.0 + center[1]
		m = mandelbrot(x+y*1j, 64)
		if m == -1:
			img.putpixel((i,j),(0,0,0))
		else:
			img.putpixel((i,j),colormap[(64-m)*4])

img.save('mandelbrot.tif')