L's in Tans

The following pictures show L's (with short side 1) packed inside the smallest known tan (with short side s).

1.
           2.
           3.
s = 3
Trivial. 		s = 3√2 = 4.242+
Trivial. 		s = 5
Trivial.

4.
           5.
           6.-7.
s = 4√2 = 5.656+
Found by Maurizio Morandi
in July 2012 		s = 2 + 3√2 = 6.242+
Found by Maurizio Morandi
in July 2012. 		s = 7
Trivial.
 

8.
           9.
           10.
s = 11/√2 = 7.778+
Trivial. 		s = 8
Trivial. 		s = 6√2 = 8.485+
Trivial.

11.-12.
           13.
           14.
s = 9
Trivial.
  		s = 9.65685+
Found by Joshua Wolk
in September 2026. 		s = 7√2 = 9.899+
Trivial.
 

15.
           16.
           17.
s = 10
Trivial. 		s = 15/√2 = 10.606+
Trivial. 		s = 8 + 2√2 = 10.828+
Found by Maurizio Morandi
in January 2025.

18.
           19.
           20.
s = 11
Trivial. 		s = 8√2 = 11.313+
Found by Maurizio Morandi
in January 2025. 		s = 4 + 11/√2 = 11.778+
Found by Maurizio Morandi
in January 2025.

21.-22.
           23.
           24.
s = 12
Trivial. 		s = 12.60660+
Found by Joshua Wolk
in September 2026. 		s = 9√2 = 12.72792+
Trivial.

25.
           26.
           27.
s = 10 + 2√2 = 12.82842+
Found by Maurizio Morandi
in October 2026. 		s = 13
Trivial. 		s = 19/√2 = 13.43503+
Trivial.

28.
           29.-30.
           31.
s = 6 + 11/√2 = 13.77817+
Found by Maurizio Morandi
in October 2026. 		s = 14
Trivial. 		s = 10 + 3√2 = 14.24264+
Found by Maurizio Morandi
in October 2026.

32.
           33.
           34.
s = 2 + 9√2 = 14.72792+
Found by Joshua Wolk
in September 2026. 		s = 12 + 2√2 = 14.82842+
Found by Maurizio Morandi
in October 2026. 		s = 21/√2 = 14.84924+
Found by Maurizio Morandi
in October 2026.

35.
           36.
           37.
s = 15
Trivial. 		s = 2 + 19/√2 = 15.43502+
Found by Maurizio Morandi
in October 2026. 		s = 11√2 = 15.55634+
Found by Maurizio Morandi
in October 2026.

38.
           39.-40.
           41.
s = 13 + 2√2 = 15.82842+
Found by Maurizio Morandi
in October 2026. 		s = 16
Trivial. 		s = 3 + 19/√2 = 16.43502+
Found by Maurizio Morandi
in October 2026.

42.
           43.
           43.-44.
s = 11 + 4√2 = 16.65685+
Found by Maurizio Morandi
in October 2026. 		s = 14 + 2√2 = 16.82842+
Found by Maurizio Morandi
in October 2026. 		s = 12√2 = 16.97056+
Trivial.

45.
           46.
           47.
s = 17
Trivial. 		s = 13 + 3√2 = 17.24264+
Found by Maurizio Morandi
in October 2026. 		s = 2 + 11√2 = 17.55634+
Found by Maurizio Morandi
in October 2026.

48.
           49.
           50.
s = 25/√2 = 17.67767+
Trivial. 		s = 15 + 2√2 = 17.82842+
Found by Maurizio Morandi
in October 2026. 		s = 18
Trivial.