Erdős problem 214

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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6 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

214.lean

Retained formal statement6 of 6

Juhász [Ju79] also improved the upper bound to $k\leq 11$ .

FormalConjectures/ErdosProblems/214.leanErdos214.erdos_214.variants.juhasz_twelve_points1 lineExact file

1¬Erdos214.HasRedCopies 12

SolvedStatement only, no proof