Packing unit squares in a square $s(53)$
The side of the smallest square into which $53$ unit squares can be packed.
Lower bound:
$2\sqrt{2}+\frac{101+3\sqrt{14}}{25}$
(≈7.317426)
Upper bound:
${\approx}7.8231$
Updates
-
Upper bound: ${\approx}7.8231$
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $2\sqrt{2}+\frac{101+3\sqrt{14}}{25}$
(≈7.317426)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]