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 Symmetries IV This geometry lesson, one in a series of lessons on symmetries from Illuminations, looks at glide reflection. Glide reflection is a symmetry transformation that is made up of two other symmetry transformations (a translation and a reflection). Graphic representations of the material are included to help students visualize the concepts. The lesson is intended for grades 9-12 and should require 1... http://illuminations.nctm.org/LessonDetail.aspx?id=L475
 Transformational Geometry and Iteration in Mangbetu Art The Center for Cultural Design presents this site on geometric concepts as displayed in Mangbetu art. This artistic tradition displays all four geometric transforms: reflection, translation, rotation and scaling. Additionally, the site provides cultural context on the Mangbetu and their artwork. http://www.ccd.rpi.edu/Eglash/csdt/african/MANG_DESIGN/cultu...
 Transformational Geometry and Iteration in Cornrow Hairstyles The Center for Cultural Design presents this page on cornrow hairstyles and how they apply to the mathematical concepts of transformational geometry and iteration. The site includes the cultural history of cornrows, as well as explaining how these shapes can demonstrate geometrical concepts. An interactive applet is included with which students can create their own cornrow pattern. http://www.ccd.rpi.edu/Eglash/csdt/african/CORNROW_CURVES/in...
 Symmetries III This geometry lesson from Illuminations investigates translations and their properties. The material will help students understand how translations work and what happens when two or more translations are applied one after the other. The lesson is intended for grades 9-12 and should require 1 class period to complete. http://illuminations.nctm.org/LessonDetail.aspx?id=L474
 Wallpaper Groups: The Discontinuous Groups of Rotation and Translation in the Plane An undergraduate tutorial on wallpaper groups, with illustrations of the 17 wallpapers groups and a wallpaper gallery. Technically, the derivation of all discontinuous groups of rotation and translation in the plane. Contents include: Some Theorems on Rotation and Translation; The Discontinuous Groups of Rotation and Translation in the Plane; Derivation and Classification of Groups; Appendix: The... http://xahlee.info/Wallpaper_dir/c0_WallPaper.html
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