Packing unit squares in a square $s(28)$
The side of the smallest square into which $28$ unit squares can be packed.
Lower bound:
$2\sqrt{2}+\frac{6}{\sqrt{5}}$
(≈5.511709)
Upper bound:
$3+2\sqrt{2}$
(≈5.828427)
Updates
-
Upper bound: $3+2\sqrt{2}$
(≈5.828427)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $2\sqrt{2}+\frac{6}{\sqrt{5}}$
(≈5.511709)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]