Here's a brief summary of the main points you need to know for the exam. Good luck!

The three main topics are.

- Platonic and Archimedean tilings. Why only three Platonic tilings? How to draw all the Platonic and Archimedean tilings.
- Platonic solids, deltahedra and Archimedean solids. Why only five Platonic solids? Number of faces (and their shape), edges and vertices (with their degrees) of the Platonic and Archimedean solids.
- Determine rosette, frieze and wallpaper patterns.

In addition you should know something about the following topics.

- What is the definition of the golden ratio? What is the numerical value? How do you construct a golden ratio extension, golden ratio cut, golden rectangle, golden triangle and regular pentagon?
- Curves of constant width.
- Dimensions of A4 paper.
- Unicursal labyrinth, simply connected multicursal maze, multiply connected multicursal maze.

Helmer Aslaksen

Department of Mathematics

National University of Singapore

helmer.aslaksen@gmail.com

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