Squares in L's

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

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

7. 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. 16. 17.
s = 4.988+
Found by David 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 = 12(1 + √2)/5 = 5.794+
Found by Maurizio Morandi
in October 2008. s = 2 + 14√2/5 = 5.959+
Found by Maurizio Morandi
in October 2008.

Back to Erich's Packing Center.

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

7.		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.		16.		17.
s = 4.988+ Found by David 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 = 12(1 + √2)/5 = 5.794+ Found by Maurizio Morandi in October 2008.		s = 2 + 14√2/5 = 5.959+ Found by Maurizio Morandi in October 2008.