реализация "звезды" на библиотеке graph

graph_star.py

from graph import *
from math import sin, cos, atan, sqrt, pi


def cart2pol(x, y):
    r = sqrt(x**2 + y**2)
    phi = atan(y, x)
    return (r, phi)


def pol2cart(r, phi):
    x = r * cos(phi)
    y = r * sin(phi)
    return (x, y)

def star(centerx, centery, internal_radius, external_radius,  ray_count = 24):
    vertex_count = ray_count * 2                                                                                                                                                                                       
    VERTEX_POLAR = [[external_radius if (i % 2 == 0) else internal_radius, \
            (i * 2 * pi/vertex_count)]  for i in range(vertex_count)]
    VERTEX_CART = [pol2cart(*v)  for v in VERTEX_POLAR]
    # move center of star to ( centerx, centery )
    center = (centerx, centery)
    VERTEX_CART = [[sum(i) for i in zip(v, center)] for v in VERTEX_CART]
                                                                                                                                                                                                                    
    mypol = polygon(VERTEX_CART) 
    return mypol


if __name__ == '__main__':
    "демонстрация. рисует разноцветные эллипсы"
    from random import randrange
    windowSize(1800, 1000)
    canvasSize(1800, 1000)
    max_x = 1800
    max_y = 900
    min_x = 10
    min_y = 10
    for i in range(30):
        brushColor(randColor())
        penColor(randColor())
        (x1, y1) = (randrange(start=min_x, stop=max_x),
                    randrange(start=min_y, stop=max_y))
        print("print center coord:",x1,y1)
        radius1 = randrange(200, 250)
        radius2 = radius1 + randrange(40, int(radius1 * 0.5 ) )
        star(x1, y1, radius1, radius2, ray_count= randrange( min(int(radius2/20 ),30) ,30  ))
        

    run()