# Wallpaper Groups

### Symmetry group 13 (p3)

This is the first group that contains a 120° rotation, that is, a rotation of order 3, and the first one whose lattice is hexagonal. There are neither reflections nor glide-reflections. The basic hexagon of the lattice is divided into six equilateral triangles. The rotation centers can be found at the corners of these triangles and at the center of them. A fundamental region is one-third of one of these triangles.

Up to the 17 wallpaper groups

Back to the previous wallpaper group

On to the next wallpaper group

© 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/