CSCE 4230  Program #1


        Due date:  Tuesday, 02/03/2009


        Using OpenGL and GLUT, write a program that implements Michael
        Barnsley's 'chaos game'.

        Select three vertices v1 = (x1,y1), v2 = (x2,y2), and
        v3 = (x3,y3) and an initial point p0 = (x0,y0).  Store
        the coordinates as global variables.

        Write a reshape callback function that creates a square
        viewport (glViewport), and a view volume appropriate for the
        vertices (glOrtho or gluOrtho2D).

        Write a display callback function that implements the following
        loop:

          Initialize p = (x,y) to p0 = (x0,y0)
          n = 30000
          For i = 0 to n-1
             Select v from the set {v1,v2,v3} at random.
             Set p to the midpoint between v and the previous value of p.
             Draw a point at p (using glBegin(GL_POINTS), glVertex2d,
               and glEnd).
          Endfor

        Write a keyboard callback that terminates the program on the
        Escape keypress.  Example program alpha.c (pp. 241-242) includes
        a call to glutKeyboardFunc, as well as glutReshapeFunc.

        Write a main function that initializes the Glut library, registers
        the callbacks, etc.


        Submit a source code listing (with your name on it) and a screen
        dump at the beginning of class on the due date.