Packing unit squares in a square $s(68)$
The side of the smallest square into which $68$ unit squares can be packed.
Lower bound:
$2\sqrt{2}+\frac{71}{13}$
(≈8.289966)
Upper bound:
$\frac{15}{2}+\frac{\sqrt{7}}{2}$
(≈8.822876)
Updates
-
Upper bound: $\frac{15}{2}+\frac{\sqrt{7}}{2}$
(≈8.822876)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $2\sqrt{2}+\frac{71}{13}$
(≈8.289966)
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]