# Tk_basic_spirograph.py

# Tk_basic_spirograph.py

import math
import random
from Tkinter import *

ww = hh = 680
ctr = ww/2

root = Tk()
root.title("# Tk_basic_spirograph")

root.geometry("%dx%d+0+0"%(ww,hh))

canvas = Canvas(root, width=ww, height=hh)
canvas.pack()

def e(n):
    return n if n else 1

def drawSpiros(x, y, l):
    def draw():
        canvas.delete('all')
        canvas.create_line(xy[::-1], fill='red', width=1)
        canvas.update()
    def pxy():
        px = R*(1-k)*(math.cos(a) + l*k*math.cos((1-k)* a/e(k)))
        py = R*(1-k)*(math.sin(a) - l*k*math.sin((1-k)* a/e(k)))
        return -px,-py

    a = 0.0
    l *= 0.1
    r = 100
    incr = 50
    t = [5,0.5,0.05,0.001]
    end = t[-1]
    p = 0
    while 1:
        R = r*1.0*sides
        k = r/e(R)
        px,py = pxy()
        if abs(px) <= 300:
            if incr == end:
                break
            incr = t.pop(0)
            r = p
        p = r
        r -= incr
        # print incr

    xy = []
    for i in range(0, 360+10):
        a = math.radians(i)
        px,py = pxy()
        xy += [px + x, py + y]
    draw()

for sides in range(3,25):
    print sides,'SIDES'
    for value in range(2,80+sides*50):
        drawSpiros(ctr, ctr, value**1.2)