How to run a graphical python script on the web from a server?

I'm a python newbie, and have been challenged with the problem of running a python sample program from the web off of a server. I can run simple text based script off my server, but not a graphical one. I know I need some add-on to make it work, but I don't have the slightest idea of which one to use.

Here is my script(its just a sample from python)

import math
from turtle import Turtle, mainloop
from time import clock

# wrapper for any additional drawing routines
# that need to know about each other
class Designer(Turtle):

    def design(self, homePos, scale):
        self.up()
        for i in range(5):
            self.forward(64.65 * scale)
            self.down()
            self.wheel(self.position(), scale)
            self.up()
            self.backward(64.65 * scale)
            self.right(72)
        self.up()
        self.goto(homePos)
        self.right(36)
        self.forward(24.5 * scale)
        self.right(198)
        self.down()
        self.centerpiece(46 * scale, 143.4, scale)
        self.getscreen().tracer(True)

    def wheel(self, initpos, scale):
        self.right(54)
        for i in range(4):
            self.pentpiece(initpos, scale)
        self.down()
        self.left(36)
        for i in range(5):
            self.tripiece(initpos, scale)
        self.left(36)
        for i in range(5):
            self.down()
            self.right(72)
            self.forward(28 * scale)
            self.up()
            self.backward(28 * scale)
        self.left(54)
        self.getscreen().update()

    def tripiece(self, initpos, scale):
        oldh = self.heading()
        self.down()
        self.backward(2.5 * scale)
        self.tripolyr(31.5 * scale, scale)
        self.up()
        self.goto(initpos)
        self.setheading(oldh)
        self.down()
        self.backward(2.5 * scale)
        self.tripolyl(31.5 * scale, scale)
        self.up()
        self.goto(initpos)
        self.setheading(oldh)
        self.left(72)
        self.getscreen().update()

    def pentpiece(self, initpos, scale):
        oldh = self.heading()
        self.up()
        self.forward(29 * scale)
        self.down()
        for i in range(5):
            self.forward(18 * scale)
            self.right(72)
        self.pentr(18 * scale, 75, scale)
        self.up()
        self.goto(initpos)
        self.setheading(oldh)
        self.forward(29 * scale)
        self.down()
        for i in range(5):
            self.forward(18 * scale)
            self.right(72)
        self.pentl(18 * scale, 75, scale)
        self.up()
        self.goto(initpos)
        self.setheading(oldh)
        self.left(72)
        self.getscreen().update()

    def pentl(self, side, ang, scale):
        if side < (2 * scale): return
        self.forward(side)
        self.left(ang)
        self.pentl(side - (.38 * scale), ang, scale)

    def pentr(self, side, ang, scale):
        if side < (2 * scale): return
        self.forward(side)
        self.right(ang)
        self.pentr(side - (.38 * scale), ang, scale)

    def tripolyr(self, side, scale):
        if side < (4 * scale): return
        self.forward(side)
        self.right(111)
        self.forward(side / 1.78)
        self.right(111)
        self.forward(side / 1.3)
        self.right(146)
        self.tripolyr(side * .75, scale)

    def tripolyl(self, side, scale):
        if side < (4 * scale): return
        self.forward(side)
        self.left(111)
        self.forward(side / 1.78)
        self.left(111)
        self.forward(side / 1.3)
        self.left(146)
        self.tripolyl(side * .75, scale)

    def centerpiece(self, s, a, scale):
        self.forward(s); self.left(a)
        if s < (7.5 * scale):
            return
        self.centerpiece(s - (1.2 * scale), a, scale)

def main():
    t = Designer()
    t.speed(0)
    t.hideturtle()
    t.getscreen().delay(0)
    t.getscreen().tracer(0)
    at = clock()
    t.design(t.position(), 2)
    et = clock()
    return "runtime: %.2f sec." % (et-at)

if __name__ == '__main__':
    msg = main()
    print(msg)
    mainloop()