# Wallpaper Groups

### Symmetry group 5 (cm)

This group contains reflections and glide-reflections with parallel axes. The translations may be inclined at any angle to each other, but the axes of the reflections bisect the angle formed by the translations, so the fundamental region for the translation group is a rhombus. A fundamental region for the symmetry group is half the rhombus. There are no rotations in this group.

On the left you see the pattern marked up with red lines for the axes of the reflections and green lines for the axes of the glide reflections.

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© 1994, 1997.

David E. Joyce

Department of Mathematics and Computer Science

Clark University

Worcester, MA 01610

These files are located at http://aleph0.clarku.edu/~djoyce/wallpaper/