Erdős problem 106 · problems.science

If $f(n)$ is the maximum total side length of $n$ interior-disjoint squares packed in the unit square, is $f(k^2 + 1) = k$ ? An exact rational configuration packs $17$ squares with total side length greater than $4$ , refuting the identity at $k = 4$ .

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If $f(n)$ is the maximum total side length of $n$ interior-disjoint squares packed in the unit square, is $f(k^2 + 1) = k$? An exact rational configuration packs $17$ squares with total side length greater than $4$, refuting the identity at $k = 4$.

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