L's in Circles

The following pictures show n L's with short side 1 packed inside the smallest circle (of radius r ).

1. 2. 3.
r = √2 = 1.414+
Trivial. r = √13/2 = 1.802+
Found by David Cantrell
in June 2005. r = √305/8 = 2.183+
Found by Maurizio Morandi
in August 2007.

4. 5. 6.
r = √5 = 2.236+
Found by Erich Friedman
in June 2005. r = 2.640+
Found by David Cantrell
in June 2005. r = √8249/32 = 2.838+
Found by Erich Friedman
in June 2005.

7. 8. 9.
r = √34/2 = 2.915+
Found by Erich Friedman
in June 2005. r = √10 = 3.162+
Found by Erich Friedman
in June 2005. r = 3.373+
Found by David Cantrell
in August 2007.

10. 11. 12.
r = 3.516+
Found by Maurizio Morandi
in August 2007. r = 3.709+
Found by David Cantrell
in August 2007. r = √58/2 = 3.807+
Found by Erich Friedman
in June 2005.

13. 14. 15.
r = 3.987+
Found by Maurizio Morandi
in August 2007. r = √17 = 4.123+
Found by David Cantrell
in August 2007. r = 4.214+
Found by Maurizio Morandi
in August 2007.

Back to Erich's Packing Center.

1.		2.		3.
r = √2 = 1.414+ Trivial.		r = √13/2 = 1.802+ Found by David Cantrell in June 2005.		r = √305/8 = 2.183+ Found by Maurizio Morandi in August 2007.

4.		5.		6.
r = √5 = 2.236+ Found by Erich Friedman in June 2005.		r = 2.640+ Found by David Cantrell in June 2005.		r = √8249/32 = 2.838+ Found by Erich Friedman in June 2005.

7.		8.		9.
r = √34/2 = 2.915+ Found by Erich Friedman in June 2005.		r = √10 = 3.162+ Found by Erich Friedman in June 2005.		r = 3.373+ Found by David Cantrell in August 2007.

10.		11.		12.
r = 3.516+ Found by Maurizio Morandi in August 2007.		r = 3.709+ Found by David Cantrell in August 2007.		r = √58/2 = 3.807+ Found by Erich Friedman in June 2005.

13.		14.		15.
r = 3.987+ Found by Maurizio Morandi in August 2007.		r = √17 = 4.123+ Found by David Cantrell in August 2007.		r = 4.214+ Found by Maurizio Morandi in August 2007.