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 Jake Loyd
in May 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 Timo Berrthold et al
in May 2026. 		s = 10.28857+
Found by Jake Loyd
in May 2026.

           14.-15.
           16.
           17.
s = 6√3 = 10.3923+
Trivial.
  		s = 11.36383+
Found by Timo Berthold et al
in May 2026. 		s = 11.63456+
Found by Timo Berthold et al
in April 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 = 13.40749+
Found by Jonathan Viquerat
in May 2026. 		s = 13.66023+
Found by Jonathan Viquerat
in May 2026.

25.
s = 13.78103+
Found by Jonathan Viquerat
in May 2026.