For n=5 the maximum side length of a square coverable by 5 unit squares is found exactly and shown to differ between full-area and boundary-only versions.
Computational Geometry 44(8), 456–463 (2011)
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Covering a square by congruent squares
For n=5 the maximum side length of a square coverable by 5 unit squares is found exactly and shown to differ between full-area and boundary-only versions.