cycloid animation

cycloid.py

import pygame, math


pygame.init()
windowsSurfaceObj = pygame.display.set_mode((750,300))
fpsClock = pygame.time.Clock()

whiteColor = (255,255,255)
greenColor = (0,255,0)
blackColor = (0,0,0)

circleCoords = (100,200)
circleRad=80
curAngle = -0.5
xInc=(circleRad*2*math.pi)/(2/0.01)  #the circle travels a distance of 2pi*r

while curAngle>-2.5:
    pygame.draw.circle(windowsSurfaceObj, whiteColor, (int(circleCoords[0]),
                                                    circleCoords[1]), circleRad,1)
    pygame.draw.circle(windowsSurfaceObj, greenColor,
                   (int(circleCoords[0]+(math.cos(curAngle*math.pi)*circleRad)),
                    circleCoords[1]-int(math.sin(curAngle*math.pi)*circleRad)),
                    1,0)
    pygame.draw.line(windowsSurfaceObj, greenColor,(int(circleCoords[0]),
                    circleCoords[1]),(int(circleCoords[0]+(math.cos(curAngle*math.pi)*circleRad)),
                    circleCoords[1]-int(math.sin(curAngle*math.pi)*circleRad)),1)
    pygame.display.update()
    fpsClock.tick(60)

    pygame.draw.circle(windowsSurfaceObj, blackColor, (int(circleCoords[0]),
                                                circleCoords[1]), circleRad,1)
    pygame.draw.line(windowsSurfaceObj, blackColor,(int(circleCoords[0]),
                    circleCoords[1]),(int(circleCoords[0]+(math.cos(curAngle*math.pi)*circleRad)),
                    circleCoords[1]-int(math.sin(curAngle*math.pi)*circleRad)),1)

    tempAngle=-0.5
    tempPos=100
    while tempAngle>curAngle:
        pygame.draw.circle(windowsSurfaceObj, greenColor,
                   (int(tempPos+(math.cos(tempAngle*math.pi)*circleRad)),
                    circleCoords[1]-int(math.sin(tempAngle*math.pi)*circleRad)),
                    1,0)
        tempAngle-=0.01
        tempPos+=xInc
        
    curAngle-=0.01
    circleCoords=(circleCoords[0]+xInc,circleCoords[1])

pygame.display.update()