Squares in Dominoes

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.

s = 4.895+
Found by Sigvart Brendberg
in June 2023. 		           41.

s = 4.927+
Found by Sigvart Brendberg
in June 2023. 		           42.

s = 4.989+
Found by David W. Cantrell
in August 2012.

           43-50.

s = 5
Trivial.