- Experimental Mathematics
Click here for a statement of the philosophy of experimental mathematics by David Epstein, Silvio Levy, and Rafael de la Llave.
- The Visual Colour Calculator
Can we use colour plots to help us discover or illustrate patterns in irrational numbers, sequences, continued fractions, or functions? What else can applying colour to our math give us?
- The Inverse Symbolic Calculator
You've been working all night trying to simplify the equations that you developed to model the evolution of the elastic properties of Gummy Bears when they are left in the back of your school locker over a long period. It turns out that each of your equations depends on the same mysterious constant. Is this constant unique to your system or are your equations perhaps related to some more fundamental set of equations? Try the constant on the Inverse Symbolic Calculator and see what you get.
- Pascal's Triangle Visualization
Here's a nice applet that helps you visualize the fractal patterns that occur when you colour the entries of Pascal's triangle based on division mod 'n'. Enter a value for 'n' between 2 and 16 and see what you get.
- Experimental Mathematics
From the Organic Mathematics workshop, a statement about the philosophy of experimental mathematics with links to other sites concerning the history and philosophy of mathematics.
- Juggling Drops and Descents
Interested in the mathematics of juggling? Take a look at this on-line and math activated version of an article by Joe Buhler and Ron Graham that originally appeared in the American Mathematical Monthly. (101, no.6, 1994, pp. 507-519)
- Roots of Polynomials Form Interface
Enter a degree for your polynomial up to 16, and this interface will exercise a complex plane plot of the roots of all permutations of polynomials of that degree with coefficients of 0 and 1 or -1 and 1. Try it and you'll see for yourself!
- Mathematics and Art on the Web: A Sampler
Mathematics and art have resonated with each other throughout history and the advent of computer graphics has introduced a new dimension to this relationship. Take a look at this collection.
- MathProbe demo
This is a demo of an interactive math research tool that allows the user to manipulate the mathematical object that she's researching. (Click here for a demo of the university level version.)
- A Passion for Pi
From Ivars Petersen's Mathland, an article about pi with a focus on memorization records. What do you think the current record is?