Packing unit squares in a square $s(37)$
The side of the smallest square into which $37$ unit squares can be packed.
Lower bound:
$2\sqrt{2}+\frac{113+10\sqrt{3}}{37}$
(≈6.350603)
Upper bound:
${\approx}6.5987$
Updates
-
Upper bound: ${\approx}6.5987$
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $2\sqrt{2}+\frac{113+10\sqrt{3}}{37}$
(≈6.350603)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]