A PostScript version of each section will eventually be provided to avoid the hassle of having to save or print each page as PostScript from the WWW browser.

The first two sections,
*Types of Symmetry* and *Symmetry in Frieze Groups*,
cover information that students should be familiar with
before they come into the Geometry Center for a tour.
Teachers may use the materials provided here or other equivalent material
in their classrooms before bringing the students into the Geometry Center,
so that the visit will be more productive.

The third section,
*Using Kali to Explore Frieze Groups*,
contains a bunch of exercises that students may do while
using the Kali program at the Geometry Center.
The exercises are divided
into groups based on their level of difficulty:
*beginner*, *intermediate* and *advanced*.
The last set of exercises, the
*Pattern Gallery*,
contains exercises in all ranges of difficulty.

The fourth section contains a very brief mention of symmetries in the plane. This section may or may not be developed into exercises at a later date.

- Types of Symmetry
- Symmetry in Frieze Groups
- Using Kali to Explore Frieze Groups
- How to Use Kali
- Exercises: Beginner (p.1)
- Exercises: Beginner (p.2)
- Exercises: Intermediate (p.1)
- Exercises: Intermediate (p.2)
- Exercises: Advanced (p.1)
- Exercises: Advanced (p.2)
- Exercises: Pattern Gallery (p.1)
- Exercises: Pattern Gallery (p.2)
- Exercises: Pattern Gallery (p.3)
- Exercises: Pattern Gallery (p.4)
- Answers to Exercises

- Symmetry in Wallpaper Groups

Lori Thomson<lori@geom.umn.edu>