For all k≥1, the axis-parallel square-packing constant satisfies f(k^2+1) ≤ k.
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For any {k \geq 1}, one has
Theorem 3 (Baek–Koizumi–Ueoro): the axis-parallel square-packing bound f(k^2+1) ≤ k.
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Created by extractor · Sep 13, 2026. Every judgment on this page is accompanied by a reasoning trace.