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 = 2 + 11/√2 = 9.778+
Found by Maurizio Morandi
in July 2012.
s = 7√2 = 9.899+
Trivial.
15.
16.
17.-18.
s = 10
Trivial.
s = 15/√2 = 10.606+
Trivial.
s = 11
Trivial.