Packing unit squares in a square $s(18)$
The side of the smallest square into which $18$ unit squares can be packed.
Lower bound:
$\frac{40\sqrt{2}+19}{17}$
(≈4.445208)
Upper bound:
$\frac{7+\sqrt{7}}{2}$
(≈4.822876)
Updates
-
Upper bound: $\frac{7+\sqrt{7}}{2}$
(≈4.822876)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $\frac{40\sqrt{2}+19}{17}$
(≈4.445208)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]