Tans in Dominoes

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


1.

s = 1/√2 = .70710+
Trivial.
           2.

s = 2√2/3 = .94280+
Found by Maurizio Morandi in June 2026.
           3.

s = .99900+
Found by Maurizio Morandi in June 2026.


4.

s = 1
Trivial.
           5.

s = 1.30157+
Found by Jonathan Viquerat in June 2026.
           6.

s = 4/3 = 1.33333+
Found by Maurizio Morandi in June 2026.

7.-8.

s = √2 = 1.41421+
Trivial.
           9.

s = 1.60710+
Found by Maurizio Morandi in June 2026.
           10.

s = 1 + 1/√2 = 1.70710+
Found by Maurizio Morandi in June 2026.

11.

s = 1.74955+
Found by Jonathan Viquerat in June 2026.
           12.

s = 3(1+√2)/4 = 1.81066+
Found by Maurizio Morandi in June 2026.
           13.

s = 1/2+√2 = 1.91421+
Found by Maurizio Morandi in June 2026.

14.

s = (7+2√2)/5 = 1.96568+
Found by Maurizio Morandi in June 2026.
           15.-16.

s = 2
Trivial.
           17.

s = (7+4√2)/6 = 2.10947+
Found by Maurizio Morandi in June 2026.

18.

s = 2.17527+
Found by Maurizio Morandi in June 2026.