Packing unit squares in a square $s(19)$
The side of the smallest square into which $19$ unit squares can be packed.
Lower bound:
$6\sqrt{2}-4$
(≈4.485281)
Upper bound:
$3+\frac{4\sqrt{2}}{3}$
(≈4.885618)
Updates
-
Upper bound: $3+\frac{4\sqrt{2}}{3}$
(≈4.885618)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $6\sqrt{2}-4$
(≈4.485281)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]