Projects

Here are several projects I am working on using Processing.js.

• Tower of Hanoi
  - An application to view graphs and solutions of the Tower of Hanoi puzzle.


• The following two applications were inspired by examples from Adams and Franzosa's text, Pure and Applied Topology, that I used for the Fall 2012 semester.
  
  
  • Safe Configuration Space of 3 Robots on [0,1]
    - See and interact with the safe configuration space.
  
  
  • The Configuration Space of folding a piece of sheet metal.
    - See and interact with the configuration space.
  
  
• Grid Diagrams
  - Use grid diagrams to draw links. It is also possible to put the links into their arc presentations.


• Calculus Applications
  
  
  • Derivatives
    - Estimate the derivative of a function by finding the slope of secant lines.
  
  
  • Riemann Sums
    - Estimate the (signed) area under a curve by using Riemann sums.
  
  
• Pick's Theorem
  - Find areas of polygons by using Pick's Theorem.


• Fractals
  - Click on a point in the Mandelbrot set to see the corresponding Julia set.


• Graphs
  - An application to assist with the graph theory material in Mathematical Perspectives, a course I taught at Westminster College. Here are instructions for the app.


• Trigonometric Graphs
  - See how the trigonometric functions relate to the unit circle.


• The Squine Graph
  - See the squine and cosquine curves for any n-gon.