- Martin Buerger.
*An Introduction to the Fundamental Features of Crystals.*Wiley, 1956, revised 1963. - Philip H. Butler.
*Point group symmetry applications: methods and tables.*Plenum Press, New York, 1981. - H. S. M. Coxeter.
*Introduction to Geometry.*Wiley, New York, 1961. An excellent text on modern geometry. Coxeter makes transformations and groups central concepts. See especially chapter 2 for wallpaper patterns and related topics. - D. Hilbert and S. Cohn-Vossen.
*Anschauliche Geometrie.*Springer, Berlin, 1932. English translation:*Geometry and the Imagination.*Chelsea, 1952. See especially chapter 2 of this fascinating book on geometry. - Arthur S. Nowick.
*Crystal properties via group theory.*Cambridge University Press, Cambridge-New York, 1995. - Allen Nussbaum.
*Applied group theory for chemists, physicists and engineers.*Prentice-Hall, Englewood Cliffs, N.J.,1971. - Doris Schattschneider
The plane symmetry groups: their recognition and notation,
*Amer. Math. Monthly*85 (1978), 439-450. This is a nice article. This journal should be available at every college library in the United States. - Hermann Weyl.
*Symmetry.*Princeton University Press, Princeton, 1952. Weyl wrote four relatively nonmathematical lectures on the general subject of symmetry with many examples from art and science.

- Xah has a very nice undergraduate tutorial on wallpaper groups, with illustrations of the 17 wallpaper groups and a wallpaper gallery.
- Yoshiaki Araki's pages of Escher patterns.
- Hyperbolic Tesselations of the Poincaré Disk
- Mark Newbold's POV-Ray Kaleidoscopes including some spherical tesselations
- Symmetry and the Shape of Space by Chaim Goodman Strauss
- Allan Bergmann Jensen's dynamic tesselations use the "The Geometers Sketchpad".
- Wallpaper patterns illustrating traditional Japanese patterns at the Mathematics Museum of the Tohsuke Urabe mathematics Laboratory, Japan.
- Hans Kuiper's Computer Art inspired by M.C. Escher and Victor Vasarely with many wallpaper patterns
- Symmetry in the Plane at Mathematics Education at the Memorial University of Newfoundland
- Math Tessellations at Highland Middle School
- Kurt's Look at Tilings (seems to be gone from the web ca. mid 1997)
- The Geometry Center has excerpts of the CRC Press's Standard Mathematical Tables and Formulas on line including some on Wallpaper Groups

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David E. Joyce

Department of Mathematics and Computer Science

Clark University

Worcester, MA 01610

The address of these files are http://aleph0.clarku.edu/~djoyce/wallpaper/