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 = 1.60607+
Found by Joshua Wolk in September 2026. 		           10.

s = 1.69605+
Found by Joshua Wolk in September 2026.
11.

s = 1.74198+
Found by Joshua Wolk in September 2026. 		           12.

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

s = 1.89902+
Found by Joshua Wolk in September 2026.
14.

s = 1.94908+
Found by Joshua Wolk in September 2026. 		           15.

s = 1.99763+
Found by Joshua Wolk in September 2026. 		           16.

s = 2
Trivial.
17.

s = (7+4√2)/6 = 2.10947+
Found by Maurizio Morandi in June 2026. 		           18.

s = 2.15821+
Found by Joshua Wolk in September 2026. 		           19.

s = 2.25295+
Found by Joshua Wolk in September 2026.
20.

s = 2.31038+
Found by Joshua Wolk in September 2026. 		           21.

s = 2.36828+
Found by Joshua Wolk in September 2026. 		           22.

s = 2.40181+
Found by Joshua Wolk in September 2026.
23.

s = 1 + √2 = 2.41421+
Found by Maurizio Morandi in October 2026. 		           24.

s = 2.51320+
Found by Joshua Wolk in September 2026. 		           25.

s = 2.57643+
Found by Yanis Gomes in October 2026.
26.

s = 2.63863+
Found by Yanis Gomes in October 2026. 		           27.

s = 2.68558+
Found by Joshua Wolk in September 2026. 		           28.

s = 2.72131+
Found by Joshua Wolk in September 2026.
29.

s = 2.77446+
Found by Joshua Wolk in September 2026. 		           30.

s = 2.80809+
Found by Joshua Wolk in September 2026. 		           31.

s = 2.82824+
Found by Joshua Wolk in September 2026.
32.

s = 2√2 = 2.82842+
Found by Joshua Wolk in September 2026. 		           33.

s = 2.91393+
Found by Joost de Winter
in October 2026. 		           34.

s = 2.96277+
Found by Joost de Winter
in October 2026.
35.

s = 2.99891+
Found by Yanis Gomes in October 2026. 		           36.

s = 3
Trivial. 		           37.

s = 2+3√2/4 = 3.06066+
Found by Maurizio Morandi in October 2026.
38.

s = 3.12518+
Found by Joshua Wolk in September 2026. 		           39.

s = 3.18580+
Found by Joshua Wolk in September 2026. 		           40.

s = 3.23630+
Found by Joshua Wolk in September 2026.
41.

s = 3.27171+
Found by Joshua Wolk in September 2026. 		           42.

s = 3.29664+
Found by Joshua Wolk in September 2026. 		           43.

s = 3.35070+
Found by Joshua Wolk in September 2026.
44.

s = 3.39206+
Found by Joshua Wolk in September 2026. 		           45.

s = 3.41388+
Found by Yanis Gomes in October 2026. 		           446.

s = 3.41405+
Found by Yanis Gomes in October 2026.
47.

s = 3.47480+
Found by Joshua Wolk in September 2026. 		           48.

s = 3.50520+
Found by Beckett Kaplinski in October 2026. 		           49.

s = 3.52804+
Found by Yanis Gomes in October 2026.
50.

s = 3.57912+
Found by Joshua Wolk in September 2026.