Mandelbrot

#!/usr/bin/env python3
grays = {key: "\x1b[48;5;%dm "%(key + 232) for key in range(24)}
def within_mandelbrot(re,im,n):
    z = complex(0)
    c = complex(re,im)
    for i in range(n):
        z=pow(z,2)+c
        if abs(z)>2:
            return i

    return i


def draw(scale, n, x=0, y=0, zoom=1):

    for y_ in range(-scale, scale, 1):
        y_ /=float(scale)
        y_ /=zoom
        y_ += y

        for x_ in range(-2*scale*2, scale, 1):
            x_ /=float(scale*2)
            x_ /=(zoom)
            x_ += x
            iters = within_mandelbrot(x_, y_, n)/float(n)
            iters = int(iters*24)
            iters = min(23, iters)
            iters = max(0, iters)
            iters = 23-iters
            print(grays[iters], end='')
        print()

    print("\033[0m")