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 = 1/3 + √2 = 1.747+
Found by Maurizio Morandi
in August 2012.
s = (4 + √2) / 3 = 1.804+
Found by Maurizio Morandi
in August 2012.


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