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.

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.