L's in Squares

L's in Squares The following pictures show n L's with short sides 1, 2, . . . n packed inside the smallest known square (of side length s).

1.

s = 2
Trivial. 2.

s = 4
Trivial. 3.

s = 7
Found by Erich Friedman
in 1998. 4.

s = 11
Found by Erich Friedman
in 1998.
5.

s = 14
Found by Erich Friedman
in 1998. 6.

s = 18
Found by Erich Friedman
in 1998. 7.

s = 22
Found by Erich Friedman
in 1998. 8.

s = 26
Found by Erich Friedman
in 1998.
9.

s = 31
Found by Erich Friedman
in 1998. 10.

s = 36
Found by Erich Friedman
in 1998. 11.

s = 41
Found by Patrick Hamlyn
in 2004. 12.

s = 46
Found by Erich Friedman
in 2003.
13.

s = 51
Found by Maurizio Morandi
in 2015. 14.

s = 57
Found by Maurizio Morandi
in 2015. 15.

s = 63
Found by Erich Friedman
in 2005. 16.

s = 69
Found by Erich Friedman
in 2005.
17.

s = 75
Found by Erich Friedman
in 2005. 18.

s = 82
Found by Erich Friedman
in 2005. 19.

s = 88
Found by Maurizio Morandi
in 2015. 20.

s = 95
Found by Maurizio Morandi
in 2015.

1. s = 2 Trivial.	2. s = 4 Trivial.	3. s = 7 Found by Erich Friedman in 1998.	4. s = 11 Found by Erich Friedman in 1998.
5. s = 14 Found by Erich Friedman in 1998.	6. s = 18 Found by Erich Friedman in 1998.	7. s = 22 Found by Erich Friedman in 1998.	8. s = 26 Found by Erich Friedman in 1998.
9. s = 31 Found by Erich Friedman in 1998.	10. s = 36 Found by Erich Friedman in 1998.	11. s = 41 Found by Patrick Hamlyn in 2004.	12. s = 46 Found by Erich Friedman in 2003.
13. s = 51 Found by Maurizio Morandi in 2015.	14. s = 57 Found by Maurizio Morandi in 2015.	15. s = 63 Found by Erich Friedman in 2005.	16. s = 69 Found by Erich Friedman in 2005.
17. s = 75 Found by Erich Friedman in 2005.	18. s = 82 Found by Erich Friedman in 2005.	19. s = 88 Found by Maurizio Morandi in 2015.	20. s = 95 Found by Maurizio Morandi in 2015.