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Kali (Gallery of Interactive Geometry)

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Visit this site: http://www.geom.uiuc.edu/apps/kali/about.html

Author:Nina Amenta; The Geometry Center
Description: Kali is an interactive editor for symmetric patterns of the plane, as seen in some of the woodcuts of M.C. Escher. It's also a fun way to learn about the 17 crystallographic symmetry groups of the plane. Choose a symmetry group; each is defined by a lattice and a set of two generators: a rotation, reflections, or glide reflections. A pattern is just a list of lines, each first reflected (if there are any reflection or glide reflection generators) and then all reflections rotated (if there is a rotation generator). Finally, the resulting figure is redrawn around every lattice point.

Levels: High School (9-12), College
Languages: English
Resource Types: Lesson Plans and Activities, Topic Tools Miscellaneous
Math Topics: Symmetry/Tessellations

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