Title: The limit point of the pentagram map,
Abstract: The pentagram map is a discrete dynamical system defined on the space of
polygons in the plane. In the first paper on the subject, R. Schwartz proved
that the pentagram map produces from each convex polygon a sequence of
successively smaller polygons that converges exponentially to a point. We
investigate the limit point itself, giving an explicit description of its
Cartesian coordinates as roots of certain degree three polynomials.