Dominoes in Tans

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


1.
           2.
           3.
s = 2√2 = 2.82842+
Trivial.
s = 1+2√2 = 3.82842+
Trivial.
s = 3√2 = 4.24264+
Trivial.


4.
           5.
           6.
s = 2+2√2 = 4.82842+
Found by Erich Friedman
in May 2026
s = 1+3√2 = 5.24264+
Found by Erich Friedman
in May 2026.
s = 4√2 = 5.65685+
Trivial
 


7.
           8.
           9.
s = 2+3√2 = 6.24264+
Found by Jonathan Viquerat
in May 2026.
s = 5+√2 = 6.41421+
Found by Erich Friedman
in May 2026.
s = 4+2√2 = 6.82842+
Found by Erich Friedman
in May 2026.


10.
           11.
           12.
s = 5√2 = 7.07106+
Trivial.
 
s = 6+√2 = 7.41421+
Found by Jonathan Viquerat
in May 2026.
s = 5+2√2 = 7.82842+
Found by Jonathan Viquerat
in May 2026.


13.
           14.
           15.
s = 8
Found by Erich Friedman
in May 2026.
s = 4+3√2 = 8.24264+
Found by Maurizio Morandi
in May 2026.
s = 6√2 = 8.48528+
Trivial.
 


16.
           17.
           18.
s = 6+2√2 = 8.82842+
Found by Erich Friedman
in May 2026.
s = 9
Found by Maurizio Morandi
in May 2026.
s = 5+3√2 = 9.24264+
Found by Maurizio Morandi
in May 2026.


19.
           20.
s = 1+6√2 = 9.48528+
Found by Maurizio Morandi
in May 2026.
s = 7+2√2 = 9.82842+
Found by Jonathan Viquerat
in May 2026.