# Tk_symwave_loop.py

# Tk_symwave_loop.py

from Tkinter import *
import random
import math
import time

WW = 680
HH = 680
root = Tk()
root.geometry(str(WW)+"x"+str(HH)+"+5+5")
canvas = Canvas(root, width=WW, height=HH)
canvas.pack()

radius = 100
vectors = 2000
midx,midy = WW/2,HH/2+20
TWO_PI = math.pi*2

def radial_ref(angles=360): # 2500
    d = {}
    d2bn = 0
    if angles:
        d2bn = 360.0/angles
    for angle in range(int(angles)):
        a = angle
        a = a*d2bn
        x = math.sin(math.radians(a))
        y = math.cos(math.radians(a))
        d[angle] = x,y
    return d

class Slider:
    def __init__(self, master=None, label='', value=0.0, min=0.0, max=100):
        slist.append(0)
        slist[-1] = DoubleVar()
        s = Scale(  master,
                    label=label,
                    variable=slist[-1],
                    from_=min*1.0,
                    to=max*1.0,
                    orient=HORIZONTAL,
                    length=max)
        slist[-1].set(value)
        s.place(x=(len(slist)-1)*120,y=0)

slist = []
Slider(canvas, label='sides', max=100, min=3)

timer = 0
p2 = 0
while 1:
    sides = int(slist[0].get())
    if p2 != sides and timer < time.time():
        PERIM = radial_ref(vectors)
        t = radial_ref(vectors/sides)
        fix = (int(vectors/sides)*sides)/(1.0*vectors)
        WAVE = [t[z][1] for z in range(len(t))]
        L_Wave = len(WAVE)
        canvas.delete('all')
        points = []
        for i in range(vectors):
            r = 250-WAVE[int(i*fix)%L_Wave]*20
            x,y = PERIM[i]
            x = x*r
            y = y*r
            points += [midx+x,midy+y]
        canvas.create_line(points+[points[:2]],fill='blue')
        canvas.create_rectangle(midx-70,midy-20,midx+70,midy+20,outline='yellow',fill='yellow')
        canvas.create_text(midx,midy,text=sides,font='arial 30',fill='blue')
        p2 = sides
    canvas.update()