# Wallpaper Groups

### Symmetry group 8 (pgg)

This group contains no reflections, but it has glide-reflections and half-turns. There are perpendicular axes for the glide-reflections, and the
fixed points of the half-turns do not lie on these axes. Again, the lattice is rectangular, and a quarter-rectangle of a fundamental region for the translation group is a fundamental region for the symmetry group..

In the image on the right, the fixed points of the half-turns are indicated by black dots, and the axes of the glide-reflections are drawn in green.

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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/