Wallpaper Groups

Symmetry group 12 (p4g)

Like the last group, this group also contains reflections and rotations of orders 2 and 4. But the axes of reflection are perpendicular (none at 45°), and none of the centers of the rotations of order 4 lie on the reflection axes. Again, the lattice is square, and an eighth of a square fundamental region of the translation group is a fundamental region for the symmetry group.

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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/