Tans in Hexagons

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


1.

s = .74062+
Trivial.
 
           2.

s = (3+√3)/6 = .78867+
Found by Jonathan Viquerat
in May 2026.
           3.

s = .98883+
Found by Jonathan Viquerat
in May 2026.


4.

s = 1.05845+
Found by Jonathan Viquerat
in May 2026.
           5.

s = 1.13976+
Found by Jonathan Viquerat
in May 2026.
           6.

s = 1.20610+
Found by Jonathan Viquerat
in May 2026.

7.

s = 1.30962+
Found by Jonathan Viquerat
in May 2026.
           8.

s = 1.37884+
Found by Jonathan Viquerat
in May 2026.
           9.

s = 1.46147+
Found by Jonathan Viquerat
in May 2026.

10.

s = 1.55742+
Found by Jonathan Viquerat
in May 2026.
           11.

s = 1.59264+
Found by Jonathan Viquerat
in May 2026.
           12.

s = 1.67995+
Found by Jonathan Viquerat
in May 2026.

13.

s = 1.75387+
Found by Jonathan Viquerat
in May 2026.
           14.

s = 1.83513+
Found by Jonathan Viquerat
in May 2026.
           15.

s = 1.87908+
Found by Jonathan Viquerat
in May 2026.

16.

s = 1.90884+
Found by Jonathan Viquerat
in May 2026.
           17.

s = 1.99246+
Found by Jonathan Viquerat
in May 2026.
           18.

s = 2.03807+
Found by Jonathan Viquerat
in May 2026.

19.

s = 2.12378+
Found by Jonathan Viquerat
in May 2026.
           20.

s = 2.16065+
Found by Jonathan Viquerat
in May 2026.