Dominoes in Hexagons

The following pictures show n dominoes (with short side 1) packed inside the smallest known hexagon (with side s).

1.
           2.
           3.
s = 2/√3 = 1.15470+
Trivial. 		s = 2/31/4 = 1.51967+
Found by Jonathan Viquerat
in May 2026. 		s = √2(3)1/4 = 1.86120+
Found by Jonathan Viquerat
in May 2026.

4.
           5.
           6.
s = 1+2/√3 = 2.15470+
Found by Jonathan Viquerat
in May 2026. 		s = 4/√3 = 2.30940+
Trivial.
  		s = 1+5√3/6 = 2.44337+
Found by Jonathan Viquerat
in May 2026.

7.
           8.
           9.
s = 2.63126+
Found by Aapo Lipponen
in July 2026. 		s = 2.85220+
Found by Jonathan Viquerat
in May 2026. 		s = 2.93631+
Found by Jonathan Viquerat
in May 2026.

10.
           11.
           12.
s = 3.20280+
Found by Joshua Wolk
in September 2026. 		s = 3.33134+
Found by Joshua Wolk
in September 2026. 		s = 3.44296+
Found by Joshua Wolk
in September 2026.

13.
           14.
           15.
s = 3.52694+
Found by Joshua Wolk in September 2026. 		s = 3.65064+
Found by Joshua Wolk
in September 2026. 		s = 2(12)1/4 = 3.72241+
Found by Maurizio Morandi
in July 2026.

16.
           17.
           18.
s = 3.86835+
Found by Joshua Wolk
in September 2026. 		s = 3.97074+
Found by Joshua Wolk
in September 2026. 		s = 2+7√3/6 = 4.02072+
Found by Maurizio Morandi
in July 2026.

19.
           20.
           21.
s = 4.19676+
Found by Joshua Wolk in September 2026. 		s = 4.32665+
Found by Joshua Wolk
in September 2026. 		s = 4.42132+
Found by Joshua Wolk
in September 2026.

22.
           23.
           24.
s = 4.48953+
Found by Joshua Wolk
in September 2026. 		s = 4.59131+
Found by Joshua Wolk
in September 2026. 		s = 2+3√3/2 = 4.59807+
Found by Maurizio Morandi
in July 2026.

25.
           26.
           27.
s = 4.72499+
Found by Joshua Wolk
in September 2026. 		s = 4.79004+
Found by Joshua Wolk
in September 2026. 		s = 4.86602+
Found by Joshua Wolk
in September 2026.

28.
           29.
           30.
s = 4.95887+
Found by Joshua Wolk
in September 2026. 		s = 5.09473+
Found by Joshua Wolk
in September 2026. 		s = 5.16157+
Found by Joshua Wolk
in September 2026.

31.
           32.
           33.
s = 5.20729+
Found by Joshua Wolk
in September 2026. 		s = 5.35668+
Found by Joshua Wolk
in September 2026. 		s = 5.44024+
Found by Joshua Wolk
in September 2026.

34.
           35.
           36.
s = 5.50298+
Found by Joshua Wolk
in September 2026. 		s = 5.57025+
Found by Joshua Wolk
in September 2026. 		s = 5.67037+
Found by Joshua Wolk
in September 2026.

37.
           38.
           39.
s = 5.75301+
Found by Joshua Wolk
in September 2026. 		s = 5.77350+
Found by Joshua Wolk
in September 2026. 		s = 5.81145+
Found by Joshua Wolk
in September 2026.

40.
           41.
           42.
s = 5.86966+
Found by Joshua Wolk
in September 2026. 		s = 5.91786+
Found by Joshua Wolk
in September 2026. 		s = 6.02009+
Found by Joshua Wolk
in September 2026.

43.
           44.
           45.
s = 6.10484+
Found by Joshua Wolk
in September 2026. 		s = 6.19541+
Found by Joshua Wolk
in September 2026. 		s = 6.30093+
Found by Joshua Wolk
in September 2026.

46.
           47.
           48.
s = 6.35085+
Found by Joshua Wolk
in September 2026. 		s = 6.36644+
Found by Joshua Wolk
in September 2026. 		s = 6.44236+
Found by Joshua Wolk
in September 2026.

49.
           50.
s = 6.51759+
Found by Joshua Wolk
in September 2026. 		s = 6.56987+
Found by Joshua Wolk
in September 2026.