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Arrangements of translates of a curve
classification
math.CO
keywords
arrangementscurvestranslatesarrangementcombinatoriallyconstructionscurvedefine
read the original 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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