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Many unit distances requires many directions
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classification
math.CO
keywords
distancesmanyunitdirectionsdeterminedeterminingmustnote
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abstract
In this note, we show that in planar pointsets determining many unit distances, these unit distances must span many directions. Specifically, we show that a set of $n$ points can determine only $o(n^{4/3})$ unit distances from a set of at most $O(n^{1/3})$ directions.
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