# Wallpaper Groups

### Symmetry group 15 (p3m1)

This group is similar to the last in that it contains reflections and order-3 rotations. The axes of the reflections are again inclined at 60° to one another, but for this group all of the centers of rotation lie on the reflection axes. The lattice is hexagonal. Again, a fundamental region for the symmetry group is one-sixth of an equilateral triangle of the lattice.

Up to the 17 wallpaper groups

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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/