On the number of inscribed squares of a simple closed curve in the plane

2008/10/27 by Strashimir G. Popvassilev, Popvassilev, Strashimir G. · 1 citation
Mathematics · #Point processes and geometric inequalities #Mathematical Dynamics and Fractals #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.0810.4806

Abstract

We show that for every positive integer n there is a simple closed curve in the plane (which can be taken infinitely differentiable and convex) which has exactly n inscribed squares.

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