Abstract
The Inscribed Square Conjecture has been open since 1911. It states that any plane Jordan curve J contains four points on a non-degenerate square. In this article we prove that the conjecture holds for digital simple closed 4-curves, and that it is false for 8-curves. The given proof is based on a theorem due to Stromquist. We also discuss some properties of simple closed 4-curves in the digital plane containing a single non-degenerate inscribed square. © Springer-Verlag Berlin Heidelberg 2009.
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CITATION STYLE
Sagols, F., & Marín, R. (2009). The inscribed square conjecture in the digital plane. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5852 LNCS, pp. 411–424). https://doi.org/10.1007/978-3-642-10210-3_32
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