circle rolling in another circle

circles3

import pygame
import numpy as np

# change these values
points = 50000
radius1 = 100.0
radius2 = 70.0
point_disp = 100.0
angle_ratio =radius1/radius2

resolution = np.array([1000, 500])
start_point = [500,250]
angular_speed = 2*radius1*np.pi/points

pygame.init()
window = pygame.display.set_mode(resolution)

def circloid_from_iteration(num):
    return np.array([np.cos(num * angular_speed),np.sin(num * angular_speed)])*radius1 + start_point + \
            np.array([np.cos(num * angular_speed * angle_ratio),np.sin(num * angular_speed * angle_ratio)])*point_disp

point_coords = np.array([circloid_from_iteration(a) for a in range(points)])
last_point = point_coords[0]

for point in point_coords:
    pygame.draw.line(window, (255, 255, 255), last_point, point)
    last_point = point
    pygame.display.update()

while 1:
    pass