Pat's Mathematics Website
 
Interests
Animated Fractal Demo

My newest paper entitled A Synthetic Test for Trace Zero Projective Transformations about a known generalization to Pappus' theorem.

A paper entitled "Pascal's Theorem and Octahedra" about projective invariants and a generalization of Pascal's theorem.

A Cellullar Automata that constructs a Spiral that is a variation of Langton's Ant!

Pappus' Theorem

Dynamical Systems arising naturally from Constructions in Projective Geometry

Cellular Automata in the Hyperbolic Plane
Geometric Explorations
Pappus' Theorem- An graphical interactive introduction to Pappus' Theorem and the research I have been doing in this area.

Animated Fractals- A collection of animated gifs that display fractals metamorphosing

Schottky group applet- An applet that displays circle inversions in the Plane.

Robinson Tiling Applet- An applet that challenges you to piece together a tiling of the plane using 6 robinson tiles.

Regular Hyperbolic Tilings - A preview an applet I have been working on for some time, unfortunately newer versions use Java 2

Langton's Ants- An interesting set of Cellular Automata in the plane.

String Art- One of my first mathematical applets, this is meant to be a study of symmetry of constructions in the plane..
Links
Sites in Maryland's Math Department
Cool Geometry Web Sites Departments