Hexagons in Triangles

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

1.
           2.-3.
           4.
s = 3
Trivial. 		s = 5
Trivial. 		s = 6
Trivial.

5.
           6.
           7.
s = 5(1+√3)/2 = 6.8301+
Found by Maurizio Morandi
in April 2015. 		s = 2(1+√6) = 6.89897+
Found by Jonathan Viquerat
in April 2026. 		s = 8
Trivial.
 

8.
           9.
           10.
s = 25/3 = 8.3333+
Found by Erich Friedman
in April 2015. 		s = 8.64494+
Found by Bhavithran Ananthan
in July 2026. 		s = 5√3 = 8.6602+
Trivial.
 

11.
           12.
           13.
s = 9.54823+
Found by Jonathan Viquerat
in April 2026. 		s = 9.96429+
Found by Bhavithran Ananthan
in July 2026. 		s = 10.28857+
Found by Bhavithran Ananthan
in July 2026.

           14.-15.
           16.
           17.
s = 6√3 = 10.3923+
Trivial.
  		s = 11.36383+
Found by Timo Berthold et al
in May 2026. 		s = 11.63453+
Found by Aapo Lipponen
in October 2026.

18.
           19.
           20.-21.
s = 11.91421+
Found by Jake Loyd
in May 2026. 		s = 12
Trivial.
  		s = 7√3 = 12.1243+
Trivial.
 

22.
           23.
           24.
s = 12.99518+
Found by Jonathan Viquerat
in May 2026. 		s = 13.39989+
Found by Jake Loyd
in June 2026. 		s = 13.61922+
Found by Joshua Wolk in September 2026.

25.
           26.-28.
           29.
s = 13.77682+
Found by Aapo Lipponen
in October 2026. 		s = 8√3 = 13.85640+
Trivial.
  		s = 14.78554+
Found by Joshua Wolk
in September 2026.

30.-31.
           32.
           33.
s = 15
Trivial.
  		s = 15.47494+
Found by Joshua Wolk
in September 2026. 		s = 15.58308+
Found by Beppe Björkland
in October 2026.

34.-36.
           37.
           38.
s = 9√3 = 15.58846+
Trivial. 		s = 16.44589+
Found by Aapo Lipponen
in October 2026. 		s = 16.77720+
Found by Joshua Wolk
in September 2026.

39.
           40.
           41.
s = 16.98381+
Found by Joshua Wolk
in September 2026. 		s = 17
Trivial. 		s = 17.25962+
Found by Beppe Björkland
in October 2026.

42.-45.
           46.
           47.
s = 10√3 = 17.32051+
Trivial. 		s = 18
Trivial. 		s = 18.41702+
Found by Joshua Wolk
in September 2026.

48.
           49.
           50.
s = 18.64230+
Found by Beppe Björkland
in October 2026. 		s = 18.85727+
Found by Joshua Wolk
in September 2026. 		s = 18.96991+
Found by Joshua Wolk
in September 2026.