Paste: python mandelbrot

import sys
from math import floor
from pprint import pprint

class HSV:
	def __init__(self, h, s, v):
		self.hue = h
		self.saturation = s
		self.value = v

def Hi(hsv):
	return floor(hsv.hue / 60) % 6

def f(hsv):
	return hsv.hue / 60 - Hi(hsv)

def p(hsv):
	return (1 - hsv.saturation) * hsv.value

def q(hsv):
	return (1 - f(hsv) * hsv.saturation) * hsv.value

def t(hsv):
	return (1 - ((1 - f(hsv)) * hsv.saturation)) * hsv.value

def hsv2rgb(hsv):
	h = Hi(hsv)
	if h == 0:
		return [hsv.value, t(hsv), p(hsv)]
	elif h == 1:
		return [q(hsv), hsv.value, p(hsv)]
	elif h == 2:
		return [p(hsv), hsv.value, t(hsv)]
	elif h == 3:
		return [p(hsv), q(hsv), hsv.value]
	elif h == 4:
		return [t(hsv), p(hsv), hsv.value]
	else:
		return [hsv.value, p(hsv), q(hsv)]

width = 640
height = 480
max_color = 360
zoom_fact = 0.8
max_iterations = 40
center = -0.65

x_inc = width / (200000 * zoom_fact)
y_inc = height / (150000 * zoom_fact)

def scale(x):
	return int(x * 255)

def scale_rgb(rgb):
	return [scale(rgb[0]),scale(rgb[1]),scale(rgb[2])]

sat = 0.85
val = 0.85

def make_color_map(nb_cols):
	out = []
	for i in xrange(0,nb_cols):
		out.insert(len(out),''.join(map(chr,scale_rgb(hsv2rgb(HSV((360.0 * i) / (nb_cols + 1),sat,val))))))
	return out

color_map = make_color_map(min(max_iterations,max_color))

def c(i,j):
	return complex(x_inc * i + center - x_inc * width / 2,
		y_inc * j - y_inc * height / 2)

def absq(z):
	return z.real * z.real + z.imag * z.imag

def pixel(c):
	z = complex(0.0,0.0)
	for i in xrange(max_iterations,1,-1):
		z = z * z + c
		if absq(z) >= 4.0:
			return i
	return False

def color(iterations):
	if iterations:
		return color_map[iterations % len(color_map)]
	else:
		return "\0\0\0"

def render():
	for j in xrange(0,height):
		for i in xrange(0,width):
			sys.stdout.write(color(pixel(c(i,j))))

def ppm_header():
	sys.stdout.write("P6\n")
	sys.stdout.write(str(width))
	sys.stdout.write(" ")
	sys.stdout.write(str(height))
	sys.stdout.write("\n255\n")

def run():
	ppm_header()
	render()

run()