Park City Mathematics Institute 2012
Bowen Kerins and Darryl Yong
Moving Things Around: Card Shuffles, Repeating Decimals and Geometric Transformations
Common Core puts emphasis on geometry through rigid motions and dilations. What are the isometries that carry an equilateral triangle to itself? A square? A cube? A polygon or polyhedron? This course will start from scratch, investigating such questions and showing how the geometry of polygons is connected to the algebra of the transformations that preserve that geometry.
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IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540.
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With major funding from Math for America
With generous support from Robert and Lynn Johnston