Hexagons in Dominoes

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

1.

s = √3 = 1.73205+
Trivial. 		           2.

s = 1.8946+
Found by Jonathan Viquerat in April 2026. 		           3.

s = 6–2√3 = 2.53589+
Found by Jonathan Viquerat in April 2026.

4.

s = 22–11√3 = 2.94744+
Found by Jonathan Viquerat in April 2026. 		           5.

s = 7(2√3–3) = 3.24871+
Found by Jonathan Viquerat in April 2026. 		           6.

s = 21(15–2√3)/71 = 3.41202+
Found by Jonathan Viquerat in April 2026.
7.

s = 3.4873+
Found by Jonathan Viquerat in April 2026. 		           8.

s = 3.6906+
Found by Jonathan Viquerat in April 2026. 		           9.

s = (36+5√3)/11 = 4.06002+
Found by Jonathan Viquerat in April 2026.
10.

s = 9(2√3–3) = 4.17691+
Found by Jonathan Viquerat in April 2026. 		           11.

s = 4.5036+
Found by Jonathan Viquerat in April 2026. 		           12.

s = 41(18–5√3)/83 = 4.6136+
Found by Jonathan Viquerat in April 2026.
13.

s = 4.8137+
Found by Jonathan Viquerat in April 2026. 		           14.

s = 25(6–√3)/22 = 4.84994+
Found by Jonathan Viquerat in April 2026. 		           15.

s = 56(27–4√3)/227 = 4.95163+
Found by Jonathan Viquerat in April 2026.
16.-17.

s = 3√3 = 5.19615+
Trivial. 		           18.

s = 31(4–√3)/13 = 5.40818+
Found by Jonathan Viquerat in April 2026. 		           19.

s = 5.6530+
Found by Jonathan Viquerat in April 2026.
20.

s = 5.8012+
Found by Jonathan Viquerat in April 2026.