#ezgraphics_rosette.py

import math
from ezgraphics import GraphicsWindow

size = int(input("Enter size of 'rosette': "))
radius = size / 2
num_points = int(input("Enter number of points: "))

margin = 20
win = GraphicsWindow(size+margin,size+margin)
canvas = win.canvas()
canvas.setBackground("yellow")
canvas.setColor("red")

points = []
for p in range(num_points):
    alpha = 2*math.pi/num_points * p
    sin_p = math.sin(alpha)
    cos_p = math.cos(alpha)
    points.append((cos_p*radius+radius+margin/2,sin_p*radius+radius+margin/2)) 

for from_pt in range(num_points):
    for to_pt in range(from_pt+1,num_points):
        canvas.drawLine(points[from_pt][0], points[from_pt][1],\
                        points[to_pt][0],   points[to_pt][1])

win.wait()