MAT335: Student Projects
2003 academic year:
Pascal's Triangle, by Susanna Ching. For background information, see Section 2.3
and Chapter 8 of [PJS] (our text).
Fractal Music, by Polly Chan.
Page 0,
Page 1,
Page 2,
Page 3,
Page 4,
Page 5,
Page 6,
Page 7,
Page 8,
Page 9,
Page 10,
Page 11,
Page 12,
Page 13.
Analysis of DNA Sequences from the Fractal Perspective, by Yoon-jung (Erica) Choi.
(MS Word version).
Chaos in Vocal Chord Vibration, by Gina Jiang.
(MS Word version).
The Box-Counting Method: Implementation and Applications, by Thomas Leung.
Page 0,
Page 1,
Page 2,
Page 3,
Page 4,
Page 5,
Page 6,
Page 7,
Page 8,
Page 9,
Page 10,
Page 11,
Page 12,
Page 13.
Fractal Landscapes, by Min-Fang Grace Tsai.
Part 1, Part 2.
Applet for fractal mountains,
Applet for fractal clouds. (To run these applets, you will need to download java3D:
http://java.sun.com/products/java-media/3D/index.html. See also the links at the end of Grace's report).
For some background information,
see Section 9.6 of [PJS] and also the Fractal Landscapes web page.
2002 academic year:
Chaotic Percolation, by Adam Chow.
For background information, see Section 9.2 of [PJS].
Examining the Epileptic Brain with
Nonlinear Mathematics, by Miron Derchansky.
The Dynamics of Machine Translators, by
Joel Ironstone.
Reconstruction of Attractors from a Time Series,
by Amy Ko. For background information, see Section 12.7 of [PJS].
One Dimensional Brownian Motion,
by Matthew Moore. For background information, see Sections 9.4 and 9.5
of [PJS].
Deterministic Chaos in the Cardiac System,
by Francois Roy.
2001 academic year:
Fractal Image Compression, by Andrew Dalgleish.
For background information, see Appendix A of Chaos and Fractals,
New Frontiers of Science, by Peitgen, Jurgens and Saupe [PJS] (
our textbook for the course).
Fractal Image Compression, by Farhad Sadaghiani.
For background information see Appendix A of [PJS].
Random Sequences in the Chaos Game, by Danny Gibbs.
For background information see Chapter 6 of [PJS].
