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.

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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/