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

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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.
5 pages, 3 figures

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General Topology, Geometric Topology, 54F15, 57N05, 57N35

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http://salesiana.dossiersoluciones.com/handle/123456789/172519

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4806
 http://arxiv.org/abs/0810.4806

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arXiv