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.
           21.
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. 		s = 7√2 = 9.89949+
Found by Joshua Wolk
in September 2026.

22.
           23.
           24.
s = 3+5√2 = 10.07107+
Found by Joshua Wolk
in September 2026. 		s = 9+√2 = 10.41421+
Found by Joshua Wolk
in September 2026. 		s = 10.57901+
Found by Joshua Wolk
in September 2026.

25.
           26.
           27.
s = 8+2√2 = 10.82842+
Found by Joshua Wolk
in September 2026. 		s = 10.99322+
Found by Joshua Wolk
in September 2026. 		s = 4+5√2 = 11.07106+
Found by Maurizio Morandi
in September 2026.

28.
           29.
           30.
s = 8√2 = 11.31371+
Trivial. 		s = 11.48528+
Found by Joshua Wolk
in September 2026. 		s = 9+2√2 = 11.82843+
Found by Joshua Wolk
in September 2026.

31.
           32.
           33.
s = 2+7√2 = 11.89949+
Found by Joshua Wolk
in September 2026. 		s = 12.05696+
Found by Joshua Wolk
in September 2026. 		s = 8+3√2 = 12.24264+
Found by Joshua Wolk
in September 2026.

34.
           35.
           36.
s = 11+√2 = 12.41421+
Found by Joshua Wolk
in September 2026. 		s = 12.59172+
Found by Joshua Wolk
in September 2026. 		s = 9√2 = 12.72792+
Trivial.

37.
           38.
           39.
s = 3+7√2 = 12.89949+
Found by Maurizio Morandi
in September 2026. 		s = 13.05696+
Found by Joshua Wolk
in September 2026. 		s = 9+3√2 = 13.24264+
Found by Joshua Wolk
in September 2026.

40.
           41.
           42.
s = 12+√2 = 13.41421+
Found by Joshua Wolk
in September 2026. 		s = 13.58063+
Found by Oihan Barreneche
in October 2026. 		s = 1+9√2 = 13.72792+
Found by Joshua Wolk
in September 2026.

43.
           44.
           45.
s = 13.89950+
Found by Joshua Wolk
in September 2026. 		s = 14
Found by Oihan Barreneche
in October 2026. 		s = 10√2 = 14.14214+
Trivial.

46.
           47.
           48.
s = 3+8√2 = 14.31370+
Found by Maurizio Morandi
in September 2026. 		s = 14.46066+
Found by Yanis Gomes
in October 2026. 		s = 14.63222+
Found by Oihan Barreneche
in October 2026.

49.
           50.
s = 12+2√2 = 14.82843+
Found by Joshua Wolk
in September 2026. 		s = 5+7√2 = 14.89949
Found by Maurizio Morandi
in September 2026.