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 = 1.51967+
Found by Jonathan Viquerat
in May 2026.
s = 1.86121+
Found by Jonathan Viquerat
in May 2026.


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


7.
           8.
           9.
s = 2.63129+
Found by Jonathan Viquerat
in May 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 = 3.20891+
Found by Jonathan Viquerat
in May 2026.
s = 3.34790+
Found by Jonathan Viquerat
in May 2026.
s = 3.46084+
Found by Jonathan Viquerat
in May 2026.


13.
           14.
           15.
s = 3.52702+
Found by Jonathan Viquerat
in May 2026.
s = 3.67312+
Found by Jonathan Viquerat
in May 2026.
s = 3.74924+
Found by Jonathan Viquerat
in May 2026.


16.
           17.
           18.
s = 3.90286+
Found by Jonathan Viquerat
in May 2026.
s = 4.01162+
Found by Jonathan Viquerat
in May 2026.
s = 7/√3 = 4.04145+
Trivial.
 


19.
           20.
s = 4.19677+
Found by Jonathan Viquerat
in May 2026.
s = 4.36716+
Found by Jonathan Viquerat
in May 2026.