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Straightedge & Compass Constructions in Spherical Geometry

Daniel J Heath*, Pacific Lutheran University (Faculty)
Talk Abstract: 
We examine straightedge and compass constructions in spherical geometry. We show via examples that the starting conditions affect the outcome. Although current tools do not allow for a complete solution, we take a tour through group theory and real analysis to show that, in general, the set of constructible points is dense on the sphere. However, we conclude with more questions than answers.
Talk Subject: 
Friday, February 20, 2015 - 15:00