Packing unit squares in a square $s(5)$
Amit6, via Wikimedia Commons. Public domain.
The side of the smallest square into which $5$ unit squares can be packed.
Value: $2 + \frac{1}{\sqrt{2}}$ (≈2.707107)
Updates
-
1979
Upper bound: $2 + \frac{1}{\sqrt{2}}$
(≈2.707107)
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] -
1979
Lower bound: $2 + \frac{1}{\sqrt{2}}$
(≈2.707107)
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]