The following pictures show n unit squares packed inside the smallest known domino (of shortest side length s).
1-2 
s = 1
Trivial.
3 
s = 3/2 = 1.5
Trivial.
4 
s = 1.930+
Found by Evert Stenlund
in June 2010.
5-8 
s = 2
Trivial.
9 
s = 2 + √2/3 = 2.471+
Found by Evert Stenlund
in June 2010.
10 
s = 5/2 = 2.5
Trivial.
11 
s = 2.779+
Found by Evert Stenlund
in June 2010.
12 
s = 6 (1 + √2) / 5 = 2.897+
Found by Maurizio Morandi
in June 2010.
13 
s = 2.976+
Found by David W. Cantrell
in July 2012 (after Maurizio
Morandi in June 2010.)
14-18 
s = 3
Trivial.
19 
s = 3 + 1/√5 = 3.447+
Found by Maurizio Morandi
in June 2010.
20-21 
s = 7/2 = 3.5
Trivial.
22 
s = 3.745+
Found by David W. Cantrell
in July 2012 (after Maurizio
Morandi in June 2010.)
23 
s = 3.849+
Found by Maurizio Morandi
in June 2010.
24 
s = 3.882+
Found by DC after MM
in August 2012.
25 
s = 3.939+
Found by DC after MM
in August 2012.
26 
s = 3.981+
Found by David W. Cantrell
in July 2012 (after Maurizio
Morandi in July 2012.)
27-32 
s = 4
Trivial.
33 
s = 3 + √2 = 4.414+
Found by Maurizio Morandi
in July 2012.
34 
s = 4 + √2/3 = 4.471+
Found by David W. Cantrell
in July 2012.
35-36 
s = 9/2 = 4.5
Trivial.
37 
s = 10 / 3 + √2 = 4.747+
Found by Maurizio Morandi
in August 2012.
38 
s = (13 + √2) / 3 = 4.804+
Found by Maurizio Morandi
in August 2012.
39 
s = 4.839+
Found by David W. Cantrell
in August 2012.
40-41 
s = (10 + 7√2) / 4 = 4.974+
Found by David W. Cantrell
in August 2012.
41-42 
s = 4.989+
Found by David W. Cantrell
in August 2012.
43-50 
s = 5
Trivial.
