Squares in Hexagons

The following pictures show n unit squares packed inside the smallest known hexagon (with side s).

1.
           2.
           3.
s = (3+√3)/6 = 0.778+
Trivial.
  		s = 2/√3 = 1.154+
Trivial.
  		s = (1+√3)/2 = 1.366+
Found by Maurizio Morandi
in March 2026.

4.
           5.
           6.
s = 2/31/4 = 1.519+
Found by Maurizio Morandi
in March 2026. 		s = √3 = 1.732+
Trivial.
  		s = 1.821+
Found by Maurizio Morandi
in March 2026.

7.
           8.
           9.
s = (√2)31/4 = 1.861+
Found by Maurizio Morandi
in March 2026. 		s = 2.15396+
Found by Jonathan Viquerat
in April 2026. 		s = 1/2+√3 = 2.23205+
Found by Jonathan Viquerat
in April 2026.

10.
           11.
           12.
s = 4/√3 = 2.309+
Trivial.
  		s = 2.40944+
Found by Jonathan Viquerat
in April 2026. 		s = 1+5√3/6 = 2.443+
Found by Maurizio Morandi
in March 2026.

13.
           14.
           15.
s = 2.572+
Found by Maurizio Morandi
in April 2026. 		s = 2.62126+
Found by Jonathan Viquerat
in April 2026. 		s = 2.75761+
Found by Jonathan Viquerat
in April 2026.

16.
           17.
           18.
s = 2.82307+
Found by Jonathan Viquerat
in April 2026. 		s = 5/√3 = 2.88675+
Trivial.
  		s = 2.92293+
Found by Jonathan Viquerat
in April 2026.

19.
           20.
s = 2.93910+
Found by Jonathan Viquerat
in April 2026. 		s = 3.17483+
Found by Jonathan Viquerat
in April 2026.