Packing unit squares in a square $s(65)$
The side of the smallest square into which $65$ unit squares can be packed.
Lower bound:
$2\sqrt{2}+\frac{71}{13}$
(≈8.289966)
Upper bound:
$5+\frac{5}{\sqrt{2}}$
(≈8.535534)
Updates
-
Upper bound: $5+\frac{5}{\sqrt{2}}$
(≈8.535534)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $2\sqrt{2}+\frac{71}{13}$
(≈8.289966)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]