Wallpaper Groups (Plane Symmetry Groups)
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http://aleph0.clarku.edu/~djoyce/wallpaper/  


David Joyce; Dept. of Mathematics & Computer Science, Clark University  
Mathematicians classify plane patterns such as wallpaper patterns by means of symmetry groups  groups of transformations of the plane that leave the pattern invariant. A transformation slides, rotates, and reflects the plane into another position. Such a transformation moves the pattern around, and we say the transformation leaves the pattern invariant if the transformed pattern matches the original pattern exactly. Some Plane symmetry groups include rotations and/or reflections, and some don't. A mathematical analysis of these groups shows that there are exactly 17 different plane symmetry groups. Table, images.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Graphics 
Math Topics:  Transformational Geometry, Symmetry/Tessellations 
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