Department of Mathematics, Statistics
and Computer Science
Wim Ruitenburg's Fall 2005 MATH025.1001
Chaos from Chapter 6
We pick topics from Chapter 6 of the book.
- The Koch snowflake, and the Sierpinski Triangle.
Note the self-similarities.
The Sierpinski Triangle can be generated from the `outside' by removing
triangles.
The Sierpinski Triangle can also be generated from the `inside' by randomly
creating new points, using a 3-sided dice.
- Barnsley sets, like the fern, are a variation on and generalization of
the random creation of the Sierpinski Triangle.
- We use so-called cobwebs to simulate chaotic movements.
This involves the point that moves horizontally and vertically between lines.
- The Game of Life.
Last updated: October 2005
Comments & suggestions:
wimr@mscs.mu.edu