On the Erd\H{o}s-Ulam problem in the plane

2023 · doi:10.14293/111.000/000057.v1
preprint OA: closed CC-BY-4.0
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Abstract

In this paper we apply the method of compression to construct a dense set of points in the plane at rational distance from each other. We provide a positive solution to the Erd\H{o}s-Ulam problem.

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License: CC-BY-4.0