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.
 

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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/