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 = 3.39529+
Found by Joshua Wolk
in September 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 = 4.21337+
Found by Joshua Wolk
in September 2026.

16.
           17.
           18.
s = 4.27526+
Found by Jonathan Viquerat
in June 2026. 		s = 4.51226+
Found by Joshua Wolk
in September 2026. 		s = 4.59397+
Found by Jonathan Viquerat
in June 2026.

19.
           20.
           21.
s = 4.69890+
Found by Joshua Wolk
in September 2026. 		s = 4.75480+
Found by Jonathan Viquerat
in June 2026. 		s = 4.90086+
Found by Joshua Wolk
in September 2026.

22.
           23.
           24.
s = 4.93140+
Found by Joshua Wolk
in September 2026. 		s = 4.99002+
Found by Joshua Wolk
in September 2026. 		s = 5.08771+
Found by Joshua Wolk
in September 2026.

25.
           26.
           27.
s = 5.19615+
Found by Joshua Wolk
in September 2026. 		s = 5.31641+
Found by Joshua Wolk
in September 2026. 		s = 5.38878+
Found by Joshua Wolk
in September 2026.

28.
           29.
           30.
s = 5.55577+
Found by Joshua Wolk
in September 2026. 		s = 5.62693+
Found by Joshua Wolk
in September 2026. 		s = 5.76090+
Found by Joshua Wolk
in September 2026.

31.
           32.
           33.
s = 5.81048+
Found by Joshua Wolk
in September 2026. 		s = 5.90896+
Found by Joshua Wolk
in September 2026. 		s = 5.97335+
Found by Joshua Wolk
in September 2026.

34.
           35.
           36.
s = 6.07748+
Found by Joshua Wolk
in September 2026. 		s = 6.16283+
Found by Joshua Wolk
in September 2026. 		s = 6.19780+
Found by Joshua Wolk
in September 2026.

37.
           38.
           39.
s = 6.29680+
Found by Joshua Wolk
in September 2026. 		s = 6.33974+
Found by Joshua Wolk
in September 2026. 		s = 6.41259+
Found by Joshua Wolk
in September 2026.

40.
           41.
           42.
s = 6.48339+
Found by Joshua Wolk
in September 2026. 		s = 6.49866+
Found by Joshua Wolk
in September 2026. 		s = 6.62259+
Found by Joshua Wolk
in September 2026.

43.
           44.
           45.
s = 6.69372+
Found by Joshua Wolk
in September 2026. 		s = 6.79193+
Found by Joshua Wolk
in September 2026. 		s = 6.88412+
Found by Joshua Wolk
in September 2026.

46.
           47.
           48.
s = 6.92820+
Found by Joshua Wolk
in September 2026. 		s = 6.96668+
Found by Joshua Wolk
in September 2026. 		s = 6.97830+
Found by Joshua Wolk
in September 2026.

49.
           50.
s = 7.15155+
Found by Joshua Wolk
in September 2026. 		s = 7.25207+
Found by Joshua Wolk
in September 2026.