The following pictures show L's (with short side 1) packed inside the smallest known L (with short side s).
1.
2.-4.
5.
s = 1
Trivial.
s = 2
Trivial.
s = 5/2 = 2.5
Trivial.
6.
7.-9.
10.
s = 1 + 4√2/3 = 2.885+
Found by Maurizio Morandi
in July 2012.
s = 3
Trivial.
s = 7/2 = 3.5
Trivial.
11.
12.
13.-16.
s = 3.73873+
Found by Joshua Wolk
in September 2026.
s = 3.90051+
Found by Joshua Wolk
in September 2026.
s = 4
Trivial.
17.-18.
19.
20.
s = 9/2 = 4.5
Trivial.
s = 3 + 5√2/4 = 4.767+
Found by Maurizio Morandi
in June 2026.
s = 3(6 + 5√2)/8 = 4.901+
Found by Maurizio Morandi
in June 2026.
21.-25.
26.-28.
29.
s = 5
Trivial.
s = 11/2 = 5.5
Trivial.
s = 5.86484
Found by Yanis Gomes
in October 2026.
30.-36.
37.-40.
41.-49.
s = 6
Trivial.
s = 13/2 = 6.5
Trivial.
s = 7
Trivial.
50.
s = 15/2 = 7.5
Trivial.