Educational Applets

The applets below were written for educational purposes. Specifically, I wanted to be able to teach myself about a mathematical concept or application by dealing with it interactively. Each applet is based on a topic that interested (or frustrated) me at the time it was created. Included on each page are some of the things I learned from dealing with that subject. Also listed are plans for future projects.

• Sierpinsky polygons
• Julia sets
• Lsystems

Plans for future projects:

• An interactive illustration of the Frenet frames (simple differential geometry of curves and surfaces)
• A graphical, three-dimensional illustration of the projective plane P³ and homogeneous coordinates

For Fun

A class of it's own. . . . This program, originally written in C++, solves a game. I started out looking for the solution for a Machine Learning class, but was unable to find it using the techniques I originally tried. Several months later, using a different implementation, I was able to come up with the solution below.

• Mastermind

Graphics Applets

These applets, initially written for computer graphics courses, and slightly modified since then, illustrate different basic concepts of computer modeling.

• Orthographic projection of a three-dimensional object
• Perspective projection
• Perspective projection with BSP tree to allow for hidden surfaces.
• Perspective projection, BSP tree, and the Phong Lighting Model
• Regular sampling using a box filter
• Regular, random and jittered sampling using box and triangle filters
• An elementary (very slow) ray-tracer