Affiliation:
1. Department of Mathematics, The Ohio State University, Columbus, USA
Abstract
Abstract
The pentagram map is a discrete dynamical system defined on the space of polygons in the plane. In the 1st paper on the subject, 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.
Funder
National Science Foundation
Publisher
Oxford University Press (OUP)
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