Erdős problem 214 · problems.science

Let $S\subset \mathbb{R}^2$ be such that no two points in $S$ are distance $1$ apart. Must the complement of $S$ contain four points which form a unit square?

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214.lean

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The answer is yes, proved by Juhász [Ju79], who proved more generally that the complement of $S$ must contain a congruent copy of any set of four points.

FormalConjectures/ErdosProblems/214.leanErdos214.erdos_214.variants.juhasz1 lineExact file

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SolvedStatement only, no proof

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