Fractal Themes at Every Level
I have written an article on my experiences teaching chaos and fractals, Fractal
Themes at Every Level, which has appearing in the book,
Fractals, Computer Graphics, and Mathematics Education, edited by Michael Frame
and Benoit Mandelbrot. This page contains a link to the article itself and several other
links to documents referenced in the article.
The article itself
FSRP student papers referenced in the article
- Fraboni, Mike, Conjugacy and the 3x+1
- Fusaro, Marc, A Visual Representation of Sequence Space, Pi
Mu Epsilon Journal, Pi Mu Epsilon Journal 10 (6), Spring 1997, 466-481 [Note: The dvi file
includes text, but no figures. If you wish to see the figures feel free to request a
- Joseph, John, A Chaotic Extension of the 3x+1 Function to Z2[i],
to appear in the Fibonacci Quarterly
- Farruggia, C., Lawrence, M., Waterhouse, B., The Elimination
of a Family of Periodic Parity Vectors in the 3x+1 Problem, Pi Mu Epsilon Journal, 10
(4), Spring (1996), 275-280
Some software I have written for my courses
I revise this software periodically, so check here once in a while for the latest
- Chaos - A Maple worksheet of common
routines used in an undergraduate course on Chaos and Fractals.
- Chaos85 - A program for the TI-85 calculator which
computes orbits and does graphical analysis for use in a course on chaos and fractals..
- Bifurcate85 - A tiny program for the TI-85 which
draws the bifurcation (orbit) diagram for the quadratic family of maps (Qc(x)=x²+c)
for use in a course on chaos and fractals.
- Links to Fractint and other software