# Mandelbrot Microscope

Nick J Chackowsky mediocre_person at hotmail.com
Fri Jul 9 01:34:01 CEST 2004

```Okay, here's my naive solution to coding a Mandelbrot microscope in
Python... but it's so slow! Would anyone care to comment on how to speed
this up?

Nick.

#
#This uses the graphics.py module included with John Zelle's
#textbook. File available at http://mcsp.wartburg.edu/zelle/python/
#

from graphics import *

DEPTH = 200

def f(z):
C = z
count = 0
while count < DEPTH and abs(z) < 3.0:
z = z*z + C
count += 1
if count == DEPTH:
count -= 1
return count

def rangecolors(n):
""" Return a list of nicely blended colors """
clist = []
r, g, b = 13, 101, 137
for c in range(n):
clist.append(color_rgb(r,g,b))
r += 5
g += 7
b += 11
if r > 255: r = 0
if g > 255: g = 0
if b > 255: b = 0
#end for
return clist

def main():
llx, lly = -3.0, 3.0  #lower left
urx, ury = 3.0, -3.0  #upper right
WINDOWSZ = 200
clist = rangecolors(DEPTH)
keepgoing = True
while keepgoing:
w = GraphWin("Mandelbrot", WINDOWSZ, WINDOWSZ)
w.setCoords(llx, lly, urx, ury)
delta = abs(llx-urx)/float(WINDOWSZ)
re = llx
while re < urx:
im = ury
while im < lly:
w.plot(re, im, clist[f(complex(re, im))])
im += delta
#end while
re += delta
#end while
p1 = w.getMouse()
p2 = w.getMouse()

#for now, assume that the user input a square area correctly
llx = p1.getX()
lly = p1.getY()
urx = p2.getX()
ury = p2.getY()

w.close()
#end while

main()

```