Squares in L's

The following pictures show n unit squares packed inside the smallest known L (of long side s).


1.-3.
           4.-5.
           6.
s = 2
Trivial.
s = 3
Trivial.
s = (5√2 + 4) / 3 = 3.690+
Found by David W. Cantrell
in June 2005.


7.
           8.-12.
           13.
s = √2 + 5/2 = 3.914+
Found by Erich Friedman
in June 2005.
s = 4
Trivial.
s = 2 + 2√2 = 4.828+
Found by Maurizio Morandi
in October 2008.


14.
           15.-16.
           17.
s = 4.988+
Found by David W. Cantrell
in June 2005.
s = 5
Trivial.
s = 4/3 + 3√2 = 5.575+
Found by Maurizio Morandi
in October 2008.


18.
           19.
           20.
s = (2√2 + 14) / 3 = 5.609+
Found by Erich Friedman
in June 2005.
s = 5.792+
Found by David W. Cantrell
in July 2012.
s = 5.937+
Found by David W. Cantrell
in July 2012.


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