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Posts Tagged ‘constructions’


220px-Straight_Square_Inscribed_in_a_Circle_240pxLearn all about the classic theory of geometric objects with only straight edge and compass. What can you construct, and what is impossible? Which regular polygons can you construct? What if you have help by being given a fixed parabola? Come with your pencils and be ready to draw (compasses provided, or bring your own)!

To perform well on geometry problems on math competitions it is necessary to have a deep understanding.  This understanding can be achieved by retracing the footprints of the very first mathematicians whose only tools were a straight edge and compass.

Dr. Kane is one of our most popular lecturers and is recently retired from his position as a professor at the University of Wisconsin – Whitewater.  Along with Dr. Andreescu he is the co-founder and coordinator of the Purple Comet! Math Meet.  Dr. Kane is also the co-chair of the AIME committee and a faculty member at the AwesomeMath summer camp.

Along with his wife, Jane E. Mertz, Jonathan Kane is the author of several important research papers on the role of culture and gender in mathematical achievement including “Debunking Myths about Gender and Mathematics Performance.”

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Constructions using only the compass and the unmarked ruler (straightedge) have always been something to be enjoyed by triangle geometers throughout time and to inspire many Olympiad problems nowadays. Here, we will see why this subject can be so appealing and will cover a few basic constructions for afterwards to challenge ourselves and see how these serve as natural “macros” for constructions which at first sight seem out of reach.

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