Re: [math-fun] Planar density question

dasimov@earthlink.net wrote:

Given integer n > 0, draw a line segment in C connecting each pair of nth roots of unity. Then as n -> oo, does the set of intersection points in C (assume each is given equal weight and the weights sum to 1) approach a continuous density on the unit disk? (Note: we care only about the intersection points, not the rest of the line segments.)

There's a paper on this by Bjorn Poonen and Mike Rubinstein: http://math.berkeley.edu/~poonen/papers/ngon.pdf Gary McGuire