Packing unit squares in a square $s(84)$
The side of the smallest square into which $84$ unit squares can be packed.
Lower bound:
${\approx}9.2667$
Upper bound:
$9+\frac{1}{\sqrt{2}}$
(≈9.707107)
Updates
-
Lower bound: ${\approx}9.2667$
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
1979
Upper bound: $9+\frac{1}{\sqrt{2}}$
(≈9.707107)
F. Göbel, Geometrical Packing and Covering Problems, in Packing and Covering in Combinatorics, A. Schrijver (ed.), Math Centrum Tracts 106 (1979) 179-199.
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]