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单词 Wallpaper Groups
释义

Wallpaper Groups

The 17 Plane Symmetry Groups. Their symbols are p1, p2, pm, pg, cm, pmm, pmg, pgg, cmm, p4, p4m, p4g, p3,p31m, p3m1, p6, and p6m. For a description of the symmetry elements present in each space group, see Coxeter (1969, p. 413).


References

Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, 1969.

Hilbert, D. and Cohn-Vossen, S. Geometry and the Imagination. New York: Chelsea, 1952.

Joyce, D. E. ``Wallpaper Groups (Plane Symmetry Groups).'' http://aleph0.clarku.edu/~djoyce/wallpaper/.

Lee, X. ``The Discontinuous Groups of Rotation and Translation in the Plane.'' http://www.best.com/~xah/Wallpaper_dir/c0_WallPaper.html.

Schattschneider, D. ``The Plane Symmetry Groups: Their Recognition and Notation.'' Amer. Math. Monthly 85, 439-450, 1978.

Weyl, H. Symmetry. Princeton, NJ: Princeton University Press, 1952.


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