Circles in L's

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


1.
           3.
           4.
s = 2 + √2 = 3.414+
Trivial.
s = 4
Trivial.
s = 5.304+
Found by Erich Friedman
in June 2005.


5.
           6.
           7.
s = 5.780+
Found by David W. Cantrell
in June 2005.
s = 6.416+
Found by David W. Cantrell
in June 2005.
s = 6.787+
Found by David W. Cantrell
in June 2005.


8.
           9.
           10.
s = 7.116+
Found by Erich Friedman
in June 2005.
s = 4 + 12/√13 = 7.328+
Found by Erich Friedman
in June 2005.
s = 7.628+
Found by Erich Friedman
in June 2005.


11.
           12.
           13.
s = 4 + √2 + √6 = 7.863+
Found by David W. Cantrell
in January 2006.
s = 8
Trivial.
s = 8.812+
Found by David W. Cantrell
in January 2006.


14.
           15.
           16.
s = 9.085+
Found by David W. Cantrell
in January 2006.
s = 9.412+
Found by David W. Cantrell
in January 2006.
s = 9.635+
Found by David W. Cantrell
in January 2006.


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