L's in Squares

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

1. 2. 3.
s = 2
Trivial. s = 3
Trivial. s = (3 + 3√2) / 2 = 3.621+
Found by Serhiy Grabarchuk
in July 2005.

5. 6. 8.
s = 4
Trivial. s = 7 / √2 = 4.949+
Found by Erich Friedman
in June 2005. s = 5
Trivial.

9. 12. 13.
s = 3 + 2√2 = 5.828+
Found by Erich Friedman
in June 2005. s = 6
Trivial. s = 2 + 7/√2 = 6.949+
Found by Jim Hays
in May 2012.

16. 17. 21.
s = 7
Trivial. s = (3 + 9√2)/2 = 7.863+
Found by Jim Hays
in May 2012. s = 8
Trivial.

22.
s = (18 + 25√2)/6 = 8.892+
Found by Jim Hays
in May 2012.

1.		2.		3.
s = 2 Trivial.		s = 3 Trivial.		s = (3 + 3√2) / 2 = 3.621+ Found by Serhiy Grabarchuk in July 2005.

5.		6.		8.
s = 4 Trivial.		s = 7 / √2 = 4.949+ Found by Erich Friedman in June 2005.		s = 5 Trivial.

9.		12.		13.
s = 3 + 2√2 = 5.828+ Found by Erich Friedman in June 2005.		s = 6 Trivial.		s = 2 + 7/√2 = 6.949+ Found by Jim Hays in May 2012.

16.		17.		21.
s = 7 Trivial.		s = (3 + 9√2)/2 = 7.863+ Found by Jim Hays in May 2012.		s = 8 Trivial.