Circles in L's

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

1.
2-3.
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.

1.		2-3.		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.