Hexagons in L's

The following pictures show n unit hexagons packed inside the smallest known L (with short side s).


1.
           2.
           3.
s = 1.57830+
Trivial.
 
s = √3 = 1.73205+
Trivial.
 
s = 1.88648+
Found by Jonathan Viquerat
in June 2026.


4.
           5.
           6.
s = 2.41072+
Found by Jonathan Viquerat
in June 2026.
s = 2.59807+
Found by Jonathan Viquerat
in June 2026.
s = 2.90072+
Found by Jonathan Viquerat
in June 2026.


7.
           8.
           9.
s = 3.08493+
Found by Jonathan Viquerat
in June 2026.
s = 3.26559+
Found by Jonathan Viquerat
in June 2026.
s = 3.39536+
Found by Jonathan Viquerat
in June 2026.


10.
           11.
           12.
s = 2√3 = 3.46410+
Trivial
 
s = 3.48851+
Found by Jonathan Viquerat
in June 2026.
s = 3.68106+
Found by Jonathan Viquerat
in June 2026.


13.
           14.
           15.
s = 3.94486+
Found by Jonathan Viquerat
in June 2026.
s = 4.09579+
Found by Jonathan Viquerat
in June 2026.
s = 4.2134+
Found by Jonathan Viquerat
in June 2026.


16.
           17.
           18.
s = 4.27526+
Found by Jonathan Viquerat
in June 2026.
s = 4.51508+
Found by Jonathan Viquerat
in June 2026.
s = 4.59397+
Found by Jonathan Viquerat
in June 2026.


19.
           20.
s = 4.70835+
Found by Jonathan Viquerat
in June 2026.
s = 4.75480+
Found by Jonathan Viquerat
in June 2026.