Makes me think that maybe my students need to see me struggle with a question more often and how much time and persistence it takes to solve problems.here is a post where I pose an extension to the problem about n-sided regular polygons: <a href="http://mrhodotnet.blogspot.com/2011/06/square-dartboard-probability.htmlI">http://mrhodotnet.blogspot.com/2011/06/square-dartboard-probability.htmlI</a> hope I didn't make mistakes.