Pentagons in Squares

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

1.
           2.
           3.
s = (3√2+√10+2√(5+√5))/8 = 1.59811+
Trivial.
  		s = 2.46345+
Trivial.
  		s = 2.90812+
Found by Jonathan Viquerat
in April 2026.

4.
           5.
           6.
s = 3.10252+
Found by Jonathan Viquerat
in April 2026. 		s = 3.54903+
Found by Jonathan Viquerat
in April 2026. 		s = 3.88300+
Found by Jonathan Viquerat
in April 2026.

7.
           8.
           9.
s = 4.18038+
Found by Jonathan Viquerat
in April 2026. 		s = 4.38191+
Found by Jonathan Viquerat
in April 2026. 		s = 4.60033+
Found by Jonathan Viquerat
in April 2026.

10.
           11.
           12.
s = 4.90584+
Found by Jonathan Viquerat
in April 2026. 		s = 5.11557+
Found by Jonathan Viquerat
in April 2026. 		s = 5.23250+
Found by Jonathan Viquerat
in April 2026.

13.
           14.
           15.
s = 5.52183+
Found by Jonathan Viquerat
in April 2026. 		s = 5.69775+
Found by Jonathan Viquerat
in April 2026. 		s = 5.91106+
Found by Jonathan Viquerat
in April 2026.

16.
           17.
           18.
s = 6.11021+
Found by Jonathan Viquerat
in April 2026. 		s = 6.26466+
Found by Jonathan Viquerat
in April 2026. 		s = 6.33632+
Found by Jonathan Viquerat
in April 2026.

19.
           20.
s = 6.55939+
Found by Jonathan Viquerat
in April 2026. 		s = 6.69588+
Found by Jonathan Viquerat
in April 2026.