Packing unit squares in a square $s(89)$
The side of the smallest square into which $89$ unit squares can be packed.
Lower bound:
Unknown
Upper bound:
$5+\frac{7}{\sqrt{2}}$
(≈9.949747)
Updates
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Upper bound: $5+\frac{7}{\sqrt{2}}$
(≈9.949747)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]