Checklist for topics promised, planned, or considered. *geometry of computer graphics, *real-time interactive computer animation (RTICA) for mathematical visualization, *immersive virtual environment, (IVE) the Cube, CAVE, and CANVAS the ISL Specific topics *structure of the OpenGL graphical pipeline, *polyhedral encoding of surfaces as triangular meshes, *geometry of linear and aerial perspective (light and shade), *representation of the 3-D affine group in 4-D homogeneous coordinates, *algebra of 3-D rotations in terms of unit quaternions, *projective spaces and their Euclidean, spherical and Minkowski (hyperbolic) metrics. *other techniques for innovative mathematical application. **non-Euclidean splines and morphing techniques, **real time interactive texture mapping, *classical topics **binocular optics and **color theory, **Haussdorff dimension and fractals, **chaos and strange attractors, **Wolfram's cellular automata, **Barnsley's iterated function systems, **Julia and Mandelbrot sets, **discrete and continuous logistic equations, **Lienard-VanderPol dynamical system. *Prospective students ** good spatial intuition, ** some artistic abilities or ambitions, ** solid grounding in linear algebra and vector calculus. * concurrent tutorials do not require programming. **classroom/dissertation line and surface graphics tools ***texWins/LaTeX ***html(asciidoc,pudding) ***Grapher/DPgraph ***iPaint/Paint ***GEX/KSEG ***Xfig/ImageMagick *Experienced programmers **BASIC, Pascal, C/C++, Java, Python, or Mathematica, *For 2 additional credits of independent study *ISL EOH project.