Discontinuous Groups of Rotation and Translation in the Plane

By Xah Lee. Date: . Last updated: .

Table of Contents

1. Introduction

2. Some Theorems on Rotation and Translation

3. The Discontinuous Groups of Rotation and Translation in the Plane

4. Derivation and Classification of Groups

5. Appendix: The 17 Wallpaper Groups

6. References and Related Web Sites

7. Addendum