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arXiv · 2208.05525

Arrangements of translates of a curve

Jozsef Solymosi·Endre Szabó
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Abstract

We show that there are five types of planar curves such that arrangements of its translates are combinatorially equivalent to an arrangement of lines. These curves can be used to define norms giving constructions with many unit distances among points in the plane.

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Jozsef Solymosi, Endre Szabó. 2023-03-11. Arrangements of translates of a curve. https://arxiv.org/abs/2208.05525

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