Stephen Wolfram’s book A New Kind of Science offers an interesting view on the phenomenon of complexity. In his book it is demonstrated how systems based on very simple rules can generate complex patterns that appear random in many ways. We will make a tour trough his examples, try to understand his claims and do some experiments ourselves.
We will deepen our understanding of complexity and ways to exploit it or master it. This module is not a substitution for the classical mathematical skills of symbolic manipulation in algebra and calculus. However, we shall use the computer-math tool Mathematica, which is a very powerful tool for all kinds of math, not only the cellular automata of Wolfram’s “A New Kind of Science”.
In particular, we will focus on the topic of Tessellation. You will use Mathematica to draw a tilling, which you will then export into Illustrator. We will then use the laser cutter to create your Tessellation with colorful plastic.
- Basic Mathematica Tutorial
- Rotation Matrices Exercise
- Vectors and Matrices Documentation
- Information on how to export graphics from Mathematica
- Tutorial on how to prepare your drawing for the Speedy 300 laser cutter.
- Tilling Examples
- Braat (PDF) | braat.nb
- Boer (PDF) | boer.nb
- Kersteman (PDF) | kersteman.nb
- Mattheijssen (PDF) | mattheijssen.nb
- Wang (PDF) | wang.nb
- Wessels (PDF) | wessels.nb
- Westerlaken (PDF) | westerlaken.nb