Tans in L's

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

1.
           2.
           3.
s = 1/2
Trivial.
  		s = 1/√2 = .707+
Trivial.
  		s = (1+√7) / 4 = .911+
Found by Erich Friedman
in July 2011.

4.
           5.-6.
           7.
s = (√6 + √2) / 4 = .965+
Found by Maurizio Morandi
in July 2012. 		s = 1
Trivial.
  		s = (2 + √2) / 3 = 1.138+
Found by David W. Cantrell
in July 2012.

8.
           9.
           10.
s = (1 + 2√2) / 3 = 1.276+
Found by Maurizio Morandi
in July 2012. 		s = 4/3 = 1.333+
Found by Maurizio Morandi
in July 2012. 		s = 1.400+
Found by Maurizio Morandi
in July 2012.

11.-12.
           13.
           14.
s = √2 = 1.414+
Trivial.
  		s = 1.499+
Found by Maurizio Morandi
in July 2012. 		s = 1.607+
Found by Maurizio Morandi
in August 2012.

15.
           16.
           17.
s = 1.680+
Found by Maurizio Morandi
in August 2012. 		s = 1 + 1/√2 = 1.70711+
Found by Edoardo Gnaldi
in September 2026. 		s = (4 + √2) / 3 = 1.804+
Found by Maurizio Morandi
in August 2012.

18.
           19.
           20.
          
s = 2(5 + √2) / 7 = 1.83263+
Found by Maurizio Morandi
in September 2026. 		s = 1 + 7√2 / 11 = 1.89995+
Found by Maurizio Morandi
in September 2026. 		s = 1 + 2√2 / 3 = 1.94280+
Found by Maurizio Morandi
in September 2026.

21.-24.
           25.
           26.
          
s = 2
Trivial. 		s = (5 + √2) / 3 = 2.138+
Found by Edoardo Gnaldi
in September 2026. 		s = (8 + 2√2) / 5 = 2.165+
Found by Edoardo Gnaldi
in September 2026.

27.
           28.
           29.-30.
s = 9/4 = 2.25
Found by Edoardo Gnaldi
in September 2026. 		s = (46 + 21√2) / 32 = 2.365+
Found by Edoardo Gnaldi
in September 2026. 		1 + √2 = 2.414+
Found by Edoardo Gnaldi
in September 2026.